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CCSS Math Answers

Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency

Get more ideas about Big Ideas Math Answers of Grade 3 Chapter 5 Patterns and Fluency from here. Learn the basics of mathematics with fun and joy with the help of Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency. Now it is the time to redefine yourself by using the BIM 3rd Grade 5th Chapter Patterns and Fluency. Get the solution Key for Bigideas Math Grade 3 Chapter 5 Patterns and Fluency in the pdf format for free of cost.

Big Ideas Math Book 3rd Grade Answer Key Chapter 5 Patterns and Fluency

The Big Ideas Math Book 3rd Grade Answer Key Chapter 5 Patterns and Fluency helps you to complete the homework, assignments in time. Practice the given problems more number of times so that you can score good marks in the exams. You can download Big Ideas Math 3rd Grade Answer Key Chapter 5 Patterns and Fluency pdf and prepare offline. After your preparation, you can test your knowledge by solving the question which is given at the end of the chapter.

Lesson 1: Identify Patterns in the Multiplication Table

Lesson 5.1 Identify Patterns in the Multiplication Table

Identify patterns in the multiplication table homework & practice 5.1.

Lesson 2: Use the Multiplication Table

Lesson 5.2 Use the Multiplication Table

Use the multiplication table homework & practice 5.2.

Lesson 3: Complete Multiplication Tables

Lesson 5.3 Complete Multiplication Tables

Complete multiplication tables homework & practice 5.3.

Lesson 4: More Problem Solving

Lesson 5.4 More Problem Solving

More problem solving homework & practice 5.4.

Performance Task

Patterns and Fluency Performance Task

Patterns and fluency activity, patterns and fluency chapter practice.

Explore and Grow

Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency 5.1 1

Structure Describe a pattern you notice

Think and Grow: The Multiplication Table

Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency 5.1 2

Show and Grow

Question 1. Show how the Distributive Property works for other columns above. Answer: As per distributive property. b and c are presented on column.It is represented in above figure clearly.

Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency 5.1 3

Apply and Grow: Practice

Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency 5.1 4

Question 4. Compare the rows for 2 and 4. Describe the pattern in the products. Answer: The products of 4 are the products of 2 doubled.

homework & practice 5 1 patterns for multiplication facts

Think and Grow: Modeling Real Life

Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency 5.1 6

Another puppy gains 6 pounds in 2 weeks and 12 pounds in 4 weeks. so it is clear that it gains 3 pounds in one week. one week weight gain = 6 by 2 = 3 pounds.

Review & Refresh

Question 4. A total of 20 horses are divided equally into 4 races. How many horses are in each race? Answer: Total number horses = 20 No. of races = 4 Number of horses in each race= 20/4 = 5 horses .

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency 5.2 1

Structure How can you use the multiplication table to divide? Answer: convert the equation into multiplication form. and represent the product and factors in the multiplication table Explanation: 12÷3=____. 3 x ____ = 12. 3 x 4 = 12.

homework & practice 5 1 patterns for multiplication facts

Think and Grow: Use the Multiplication Table

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency 5.2 2

Use the multiplication table.

where a,b are factors and c is the product

a is represented in rows and b is represented in columns.

common point where a and b intersect gives c .

Question 1. 4 × 7 = ____ Answer: 28

homework & practice 5 1 patterns for multiplication facts

Question 2. 10 × 9 = ____ Answer: 90

homework & practice 5 1 patterns for multiplication facts

Question 3. 1 × 6 = ____ Answer:6

homework & practice 5 1 patterns for multiplication facts

Question 4. 20 =5 X ____ 5 × ____ = 20 Answer: 4

homework & practice 5 1 patterns for multiplication facts

Question 5. 12 ÷ 2 = ____ 2 × ____ = 12 Answer:6

homework & practice 5 1 patterns for multiplication facts

Question 6. 27 ÷ 9 = ____ 9 × _____ = 27 Answer:3

homework & practice 5 1 patterns for multiplication facts

Question 7. 32 ÷ 4 = _____ 4 × ____ = 32 Answer:8

homework & practice 5 1 patterns for multiplication facts

Question 8. 49 ÷ 7 = ____ 7 × ____ = 49 Answer:7

homework & practice 5 1 patterns for multiplication facts

Question 9. 56 ÷ 8 = _____ 8 × _____ = 56 Answer:7

homework & practice 5 1 patterns for multiplication facts

Write the related multiplication equation. Then use the multiplication table to complete the related facts. Question 10. 42 ÷ 6 = ____ Answer:

6 x ____ = 42

homework & practice 5 1 patterns for multiplication facts

Question 11. 64 ÷ 8 = _____ Answer:

8 x ____ = 64

homework & practice 5 1 patterns for multiplication facts

Question 12. 35 ÷ 7 = ____ Answer:

7 x ____ = 35

homework & practice 5 1 patterns for multiplication facts

Write the related multiplication equation. Then use the multiplication table to complete the related facts. Question 13. 8 ÷ 2 = ____ Answer:

2 x ____ = 8

homework & practice 5 1 patterns for multiplication facts

Question 14. 21 ÷ 3 = ____ Answer:

3 x ____ = 21

homework & practice 5 1 patterns for multiplication facts

Question 15. 50 ÷ 10 = _____ Answer:

10 x ____ = 50

10 x 5 = 50.

homework & practice 5 1 patterns for multiplication facts

Question 16. 24 ÷ 8 = _____ Answer:

8 x ____ = 24

8 x 3 = 24.

homework & practice 5 1 patterns for multiplication facts

Question 17. 54 ÷ 9 = _____ Answer:

9 x ____ = 54

homework & practice 5 1 patterns for multiplication facts

Question 18. 40 ÷ 5 = _____ Answer:

5 x ____ = 40

homework & practice 5 1 patterns for multiplication facts

Question 19. 63 ÷ 7 = _____ Answer:

7 x ____ = 63

homework & practice 5 1 patterns for multiplication facts

Question 20. 25 ÷ 5 = ____ Answer:

5 x ____ = 25

homework & practice 5 1 patterns for multiplication facts

Question 21. 56 ÷ 8 = _____ Answer:

8 x ____ = 56

8 x    7 = 56

homework & practice 5 1 patterns for multiplication facts

Question 22. 5 × 2 = ____ Answer: 10

homework & practice 5 1 patterns for multiplication facts

Question 23. 6 × 6 = ____ Answer:  36

homework & practice 5 1 patterns for multiplication facts

Question 24. 9 × 5 = ____ Answer: 45

homework & practice 5 1 patterns for multiplication facts

Question 25. 4 × 10 = ____ Answer: 40

homework & practice 5 1 patterns for multiplication facts

Use the multiplication table to solve. Question 30. There are 28 pictures hanging on a classroom wall. They are arranged in 7 equal columns. How many rows of pictures are there? Answer: Total Number of pictures = 28 Number of columns = 7 Number of rows = 28 ÷   7 = 4 rows.

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency 5.2 6

Question 32. DIG DEEPER! A stage crew sets up 2 equal arrays of chairs for a school concert. There are 6 rows and 7 columns of chairs in each array. Are there enough chairs for 80 people? Answer: Number of rows = 6 Number of columns = 7 Number of chairs in one array = 6 x 7 = 42. The number of array = 2 . Total Number of chairs in 2 arrays = 2 x 42 = 84 chairs . Therefore, 84 chairs are available for 80 people. so enough chairs are available.

homework & practice 5 1 patterns for multiplication facts

Question 13. YOU BE THE TEACHER Descartes says that 8 ÷ 2 = 16. Is he correct? Explain. Answer: No. Explanation: 8 ÷ 2 =4.

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency 5.2 7

Find the missing factor. Question 21. 10 × ____ = 90 Answer:10 x 9=90

Question 22. 60 = 10 × _____ Answer:60=10 x 6

Question 23. ____ × 10 = 0 Answer:0 x 10= 0

Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency 5.3 1

Critique Reasoning Describe how you completed the table. Compare your method to your partner’s method. How are they the same? How are they different? Answer:

Think and Grow: Complete Multiplication Tables

Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency 5.3 2

Step 2: Use multiplication to find the missing products 2 × 4 = __8___ 2 × 9 = __18__ 5 × 9 = __45___ 6 × 4 = ____24_ 6 × 8 = ____48_ 6 × 9 = ___54__

Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency 5.3 3

Question 2.

Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency 5.3 5

Think and Grow: Using the Problem-Solving Plan

Example There are 48 igloos in a community. The igloos are arranged in 8 equal groups. How many igloos are in each group?

Understand the Problem

What do you know? • There are __48___ igloos. • They are arranged in __8____ equal groups.

What do you need to find? • You need to find how many __igloos___ are in each group

Make a Plan

How will you solve? • Divide __48____ by __8___ to find how many are in each group.

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 2

Question 2. Your class divides 30 animal toys into 3 equal groups. What information do you know that will help you find how many toys are in each group? Answer: The number of animal toys=30. The number of groups= 3. Toys in each group = 30÷3 = 10.

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 3

Question 4. You arrange 32 drawings into equal rows of 8 drawings. How many rows are there? Answer: Total Drawings=32. Drawings in each row=8. Number of rows = 32÷8 = 4.

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 4

A city has 9 bicycle-sharing stations. Each station holds 8 bicycles. There are 14 bicycles in use. How many bicycles are available? Understand the problem: The number of bicycle-sharing stations=9. The number of bicycles in each station=8. Make a plan: Solve: Total bicycles in all stations = 9 x 8 =72. Number bicycles in use = 14. Avaliable bicycles = 72-14 = 58. There are 58 bicycles available.

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 5

Question 7. There are 25 girls and 17 boys on step-dancing teams. Each team has 6 dancers. How many teams are there? Answer: Number of girls=25 Number of boys = 17 Total dancers = 25+17 =42 The number of dancers in each team = 6. Number of teams= 42÷6 = 7. Teams

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 6

Question 3. A game has 49 pieces of fruit arranged into7 equal rows. How many pieces are in each row? Answer: The total number of fruit pieces=49. Number of rows = 7 Number of peices in each row = 49÷7 = 7 pieces.

Big Ideas Math Solutions Grade 3 Chapter 5 Patterns and Fluency 5.4 8

Answer: It just like cumulative property a x b = b x a =c. People who get the same 2 numbers in card then product will be equal so you lose . Example: 4 and 5 product = 4 x 5 = 20 if other person get 5  and 4 then product = 20. so you lose.

5.1 Identify Patterns in the Multiplication Table

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency chp 1

5.2 Use the Multiplication Table

homework & practice 5 1 patterns for multiplication facts

Write the related multiplication or division equation. Then use the multiplication table tocomplete the related facts. Question 8. 54 ÷ 6 = _____ Answer: 6 x ____=54. 6 x 9 =54.

Question 9. 8 × 4 = ____ Answer: 8 x 4 = 32 32 ÷ 8 =4

Question 10. 35 ÷ 5 = _____ Answer: 5 x ___ = 35 5 x 7 = 35.

5.3 Complete Multiplication Tables

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency chp 11

5.4 Moro Problem Solving

Big Ideas Math Answers 3rd Grade Chapter 5 Patterns and Fluency chp 13

Question 14. Your class yearbook page has 28 photos arranged in equal rows. There are 7 photos in each row. How many rows are there? Answer: The number of photos in the yearbook=28. The number of photos in each row=7. The number of rows=number of photos/number of photos in each row. =28/7 =4 photos. Therefore, the Number of rows=4 photos.

Question 15. Modeling Real Life There are 28 girls and 28 boys doing a scavenger hunt. Everyone is split into teams of 8 students. How many teams are there? Answer: Total number of girls=28 Total number of boys=28 Total number of people=28+28=56. The number of people in each team=8. The number of teams formed=total number of people /number of people in each team. =56/8=7 Therefore, the Number of teams formed=7 Teams.

Conclusion: The solutions seen in this chapter are as per the latest edition. The Big Ideas Math Answers are prepared by the math experts so you don’t worry about the solutions. I Hope the details prevailed in the Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency made you happy. Please share the Big Ideas Math Answer Key Grade 3 Chapter 5 Patterns and Fluency with your friends and help them to overcome their difficulties in this chapter. Bookmark our site to get the solutions of all grade 3 chapters.

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Miss Glitter Teaches

Bringing a dash of sparkle to tired teachers

in Math · May 31, 2022

5 Exciting Multiplication for 5th Grade Resources

Multiplication is my favorite operation and if that’s not nerdy I don’t know what is! Multiplication is my favorite so it makes sense that Multiplication for 5th Grade would be my favorite unit to teach! 

When I taught 3rd grade I felt the same way, getting to start students off on their learning of all things multiplication. Somewhere between the excitement of learning the times’ symbol to 5th grade, students lose that excitement. And multiplication for 5th grade can be tricky (looking at you multiplying fractions and decimals!) so I get it!

multiplication for 5th grade made fun

But multiplication is so important in the middle school and high school world that we need to help students see the purpose and excitement in learning how to multiply. So I’m sharing all my tips for how to make multiplication for 5th grade fun!

Games with Multiplication Facts

I’m starting off this list with the basics which are honestly where we should start with our students anyway! I play games with multiplication facts in my 5th and 6th grade math classroom. Students aren’t too old for a little fact practice and honestly, it will help them so much when we get to more intense topics like long division with a remainder. That multiplication fact foundation comes to play and it really trips up students who don’t have that strong math fact background. 

low prep games with multiplication facts

One of my favorite games with multiplication facts is Tic Tac Toe ! IT’s simple to learn and students are able to practice correctly because it is self-checking! Double win! My students always get super competitive with Tic Tac Toe so it’s a hit year-round! The best part (for me) about Tic Tac Toe is that it requires no prep! Just Print and Go. No really, it’s that simple! If you have an extra 30 seconds then I like to slip mine into a page protector for easy reuse. If you want to check out my games with multiplication facts then check them out here .

5th Grade Multiplication Worksheet Games

Now that we covered multiplication facts, let’s get to teaching how to multiply a whole number! Multiplication for 5th grade is all about the standard algorithm. And while the algorithm has a lot of steps, the concept and concrete learning has been tackled in 4th grade. So now in 5th grade, we can focus on the algorithm. This is one of those math games that students just need to practice over and over again. 

Rather than making practice boring, I like to play games in my math learning centers.  Tic Tac Toe for multi-digit numbers is a perfect option to include. In the same setup as the multiplication facts set, students are solving a problem and then checking the answer with their partner. If it’s correct then they take a turn at Tic Tac Toe. My students get so competitive during a simple game of Tic Tac Toe. 

2 and 3 digit multiplication for 5th grade games

I love using these 5th Grade Multiplication Worksheet Games because the setup is so easy! All I have to do is print and play. I do like to slip my game boards into page protectors so that we can reuse them. But I love that there isn’t any cutting or laminating to do ahead of time! If you want to check out the set of 5th grade multiplication worksheet games then click here .

Curriculum Worksheet for 5th Grade Maths

No round-up of teaching ideas would be complete without some sort of mention of the curriculum. However, the curriculum doesn’t have to be boring or long and drawn out! I prefer a quick and simple layout for any worksheet for 5th grade maths. 

5th Grade Multiplication Algorithm Unit Ideas

The notes sheet in this curriculum is easy to follow with an example problem and written out steps to refer back to. I also love that there are short videos that match the notes pages. This is perfect for a flipped-classroom approach! Ever heard of the flipped classroom? Check out more information about flipped classrooms in this blog post .

The simplicity of the worksheet notes lends itself to using math interactive notebooks or folders. If you want to know more about how I ditched math interactive notebooks then click on this blog post . I share all the pros and cons of using math folders instead!  

I also love the math exit tickets included in this curriculum for quick formative checks. This helps me learn more about my students and what skills students need to practice more. This makes creating groups in math learning centers so much easier. If you want to learn more about how I use exit tickets be sure to check out this post .

The last worksheet for 5th grade maths that I love from this curriculum is the homework practice. I don’t give homework in my classroom BUT I still want my students to practice regularly in class. These homework worksheets are perfect for giving a little practice without assigning a crazy amount of problems. I usually use them as extra practice or for my small group teacher table during math learning centers. If you want to read up on how I run math centers in my 5th grade classroom then be sure to check out this blog post . 

4 in a Row: Worksheets on Multiplication for Grade 5

Another math game? Of course! I’m the self-proclaimed queen of low prep math games for centers or stations . These games are similar to Tic Tac Toe but with a little more strategy on the game side. 4 in Row is a perfect addition to provide mixed practice on different 2, 3, and 4 digit numbers. The game is still self-checking so that partners are relying on each other to play the game. The self-checking aspect also helps students be more self-sufficient which is a necessary life skill I like to include in my classroom 🙂

If you want to check out more 4 in a Row games then check out this link .

multiplication for 5th grade math learning center games

Math Games Grade 5

I couldn’t let the chance to help you plan out more than just your multiplication for 5th grade unit! This bundle is jam-packed with every activity I have made for 5th grade math. My favorite activities in the bundle specific to multiplication include the following:

Learning labs

Learning labs allow students to explore a math concept and build the multiplication algorithm. These labs are best done before explicitly teaching the algorithm so that students have a more concrete understanding and will be able to justify their reasoning within the algorithm or model. I love the hands-on learning aspect and it really helps bridge the gap between the concrete and the algorithm. Such an important concept in multiplication for 5th grade.

Round table activities

Round table activities help students practice the multiplication algorithm step by step while working with partners or in small groups. This is perfect for having students check their work too! 

Students solve a problem starting with the first step. Once they finish 1 step, they pass their papers in a circle (like a round table) and then solve the 2nd step on a new problem. They keep trading papers until all of the problems are answered and checked. This is way more fun for students than a simple worksheet for grade 5 maths. 

Choice Board Templates & Prompts

I love using choice board templates in my classroom, especially for math! These are great for fast finishers, extension stations, or even for homework to get families involved. If you want to learn more about how I use choice board templates be sure to check out this blog post . 

Digital Task Cards

While I think we are (finally) past the fully digitally learning era, technology doesn’t have to be thrown out the window! I like to use digital task cards during math learning centers but they also make a fast practice lesson or emergency sub plan option. Digital task cards are even better when they are self-checking! 

Want to learn more about using technology in the math classroom? This blog post has so many tips on how to use technology the right way in the classroom .

Looking for other multiplication for 5th grade tips?

These blog posts are full of even more ideas for multiplication for 5th grade. Be sure to check them out to learn more and make your unit even more exciting and engaging for students!

  • Multiplying Whole Numbers: Ideas for 4th and 5th Grade
  • 5th Grade Math: Important Math Skills for 5th Graders
  • Multiplication Strategies for 4th and 5th Grade
  • Multiplication Facts that Stick: How to Teach the Times Tables
  • Tips for Teaching Multiplication Facts
  • A Suggested Order for Teaching the Basic Multiplication Facts

5 resources to make multiplication for 5th grade math that much more engaging

I’d love to hear from you! How do you make multiplication for 5th grade fun? Drop a comment below!

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Multiplication Facts Worksheets

Welcome to the multiplication facts worksheets page at Math-Drills.com! On this page, you will find Multiplication worksheets for practicing multiplication facts at various levels and in a variety of formats. This is our most popular page due to the wide variety of worksheets for multiplication available. Or it could be that learning multiplication facts and multiplication strategies are essential to many topics in mathematics beyond third grade math.

Learning multiplication facts to the point of quick recall should be a goal for all students and will serve them well in their math studies. Multiplication facts are actually easier to learn than you might think. First of all, it is only essential to learn the facts from 1 to 9. Somewhere along the way students can learn that anything multiplied by zero is zero. Hopefully, that is an easy one. Students also need to learn to multiply by ten as a precursor to learning how to multiply other powers of ten. After those three skills are learned, everything else is long multiplication. Multiplying by 11 is actually two-digit multiplication. Now, learning fact tables of 11 and beyond will do no harm to those students who are keen and able to learn these things quickly, and it might help them figure out how many eggs are in a gross faster than anyone else, but keep it simple for those students who struggle a bit more.

Most Popular Multiplication Facts Worksheets this Week

Multiplying (1 to 12) by 5 (50 Questions)

Multiplication Facts Tables

homework & practice 5 1 patterns for multiplication facts

The multiplication tables with individual questions include a separate box for each number. In each box, the single number is multiplied by every other number with each question on one line. The tables may be used for various purposes such as introducing the multiplication tables, skip counting, as a lookup table, patterning activities, and memorizing.

  • Multiplication Facts Tables from 1 to 12 Multiplication Facts Tables in Gray 1 to 12 Multiplication Facts Tables in Gray 1 to 12 (Answers Omitted) Multiplication Facts Tables in Color 1 to 12 Multiplication Facts Tables in Color 1 to 12 (Answers Omitted) Multiplication Facts Tables in Montessori Colors 1 to 12 Multiplication Facts Tables in Montessori Colors 1 to 12 (Answers Omitted)
  • Multiplication Facts Tables from 0 to 11 Multiplication Facts Tables in Gray 0 to 11 Multiplication Facts Tables in Gray 0 to 11 (Answers Omitted) Multiplication Facts Tables in Color 0 to 11 Multiplication Facts Tables in Color 0 to 11 (Answers Omitted) Multiplication Facts Tables in Montessori Colors 0 to 11 Multiplication Facts Tables in Montessori Colors 0 to 11 (Answers Omitted)
  • Multiplication Facts Tables from 13 to 24 Multiplication Facts Tables in Gray 13 to 24 Multiplication Facts Tables in Gray 13 to 24 (Answers Omitted) Multiplication Facts Tables in Color 13 to 24 Multiplication Facts Tables in Color 13 to 24 (Answers Omitted)

The compact multiplication tables are basically lookup charts. To look up a multiplication fact, find the first factor in the column header and the second factor in the row headers; then use straight edges, your fingers or your eyes to find where the column and row intersect to get the product. These tables are better than the previous tables for finding patterns, but they can be used in similar ways. Each PDF includes a filled out table page and a blank table page. The blank tables can be used for practice or assessment. You might also make a game out of it, such as "Pin the Fact on the Table" (a play on Pin the Tail on the Donkey). Students are given a product (answer) and they pin it on an enlarged version or the table (photocopier enlargement, interactive whiteboard, overhead projector, etc.). Paper-saving versions with multiple tables per page are included. The left-handed versions of the multiplication tables recognize that students who use their left hands might block the row headings on the right-handed versions.

  • Compact Multiplication Facts Tables from 1 to 7 Multiplication Table to 49 (1 Filled and 1 Blank) Multiplication Table to 49 (9 Filled and 9 Blank) Left-Handed Multiplication Table to 49 (1 Filled and 1 Blank) Left-Handed Multiplication Table to 49 (9 Filled and 9 Blank)
  • Compact Multiplication Facts Tables from 1 to 9 Multiplication Table to 81 (1 Filled and 1 Blank) Multiplication Table to 81 (6 Filled and 6 Blank) Left-Handed Multiplication Table to 81 (1 Filled and 1 Blank) Left-Handed Multiplication Table to 81 (6 Filled and 6 Blank)
  • Compact Multiplication Facts Tables from 1 to 10 Multiplication Table to 100 (1 Filled and 1 Blank) Multiplication Table to 100 (6 Filled and 6 Blank) Left-Handed Multiplication Table to 100 (1 Filled and 1 Blank) Left-Handed Multiplication Table to 100 (6 Filled and 6 Blank)
  • Compact Multiplication Facts Tables from 1 to 12 Multiplication Table to 144 (1 Filled and 1 Blank) Multiplication Table to 144 (4 Filled and 4 Blank) Left-Handed Multiplication Table to 144 (1 Filled and 1 Blank) Left-Handed Multiplication Table to 144 (4 Filled and 4 Blank)

Five Minute Multiplication Frenzies

homework & practice 5 1 patterns for multiplication facts

Five minute frenzy charts are 10 by 10 grids that are used for multiplication fact practice (up to 12 x 12) and improving recall speed. They are very much like compact multiplication tables, but all the numbers are mixed up, so students are unable to use skip counting to fill them out. In each square, students write the product of the column number and the row number. They try to complete the chart in a set time with an accuracy goal (such as less than five minutes and score 98 percent or better).

It is important to note here that you should NOT have students complete five minute frenzies if they don't already know all of the multiplication facts that appear on them. If you want them to participate with the rest of the class, cross off the rows and columns that they don't know and have them complete a modified version. Remember, these charts are for practice and improving recall, not a teaching tool by itself.

Students who write with their left hands may cover the row headings on the right-handed versions, so the left-handed versions have the row headings on the other side.

  • Multiplication Frenzies from 0 to 9 Multiplication Frenzy with Factors from 0 to 9 ( 1 Chart Per Page) Multiplication Frenzy with Factors from 0 to 9 ( 4 Charts Per Page) Left-Handed Multiplication Frenzy with Factors from 0 to 9 ( 1 Chart Per Page) Left-Handed Multiplication Frenzy with Factors from 0 to 9 ( 4 Charts Per Page)
  • Multiplication Frenzies from 1 to 10 Multiplication Frenzy with Factors from 1 to 10 ( 1 Chart Per Page) Multiplication Frenzy with Factors from 1 to 10 ( 4 Charts Per Page) Left-Handed Multiplication Frenzy with Factors from 1 to 10 ( 1 Chart Per Page) Left-Handed Multiplication Frenzy with Factors from 1 to 10 ( 4 Charts Per Page)
  • Multiplication Frenzies from 2 to 12 Multiplication Frenzy with Factors from 2 to 12 ( 1 Chart Per Page) Multiplication Frenzy with Factors from 2 to 12 ( 4 Charts Per Page) Left-Handed Multiplication Frenzy with Factors from 2 to 12 ( 1 Chart Per Page) Left-Handed Multiplication Frenzy with Factors from 2 to 12 ( 4 Charts Per Page)
  • Multiplication Frenzies from 5 to 15 Multiplication Frenzy with Factors from 5 to 15 ( 1 Chart Per Page) Multiplication Frenzy with Factors from 5 to 15 ( 4 Charts Per Page) Left-Handed Multiplication Frenzy with Factors from 5 to 15 ( 1 Chart Per Page) Left-Handed Multiplication Frenzy with Factors from 5 to 15 ( 4 Charts Per Page)

Multiplication Facts up to the 7 Times Table

homework & practice 5 1 patterns for multiplication facts

This section includes math worksheets for practicing multiplication facts to from 0 to 49. There are two worksheets in this section that include all of the possible questions exactly once on each page: the 49 question worksheet with no zeros and the 64 question worksheet with zeros. All others either contain all the possible questions plus some repeats or a unique subset of the possible questions.

  • Multiplication Facts up to the 7 Times Table (No Zeros) Multiplication Facts to 49 ( 100 Questions) ( No Zeros ) ✎ Multiplication Facts to 49 ( 50 Questions ) ( No Zeros ) ✎ Multiplication Facts to 49 ( 49 Questions) ( No Zeros ) ✎ Multiplication Facts to 49 ( 25 Questions ) ( No Zeros ) ✎
  • Multiplication Facts up to the 7 Times Table (With Zeros) Multiplication Facts to 49 ( 100 Questions) ( With Zeros ) ✎ Multiplication Facts to 49 ( 64 Questions) ( With Zeros ) ✎ Multiplication Facts to 49 ( 50 Questions ) ( With Zeros ) ✎ Multiplication Facts to 49 ( 25 Questions ) ( With Zeros ) ✎
  • Horizontally Arranged Multiplication Facts up to the 5 Times Table Horizontally Arranged Multiplication Facts with Products to 25 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts with Products to 25 ( 50 Questions ) ✎ Horizontally Arranged Multiplication Facts with Products to 25 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Multiplication Facts up to the 6 Times Table Horizontally Arranged Multiplication Facts with Products to 36 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts with Products to 36 ( 50 Questions ) ✎ Horizontally Arranged Multiplication Facts with Products to 36 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Multiplication Facts up to the 7 Times Table Horizontally Arranged Multiplication Facts with Products to 49 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts with Products to 49 ( 50 Questions ) ✎ Horizontally Arranged Multiplication Facts with Products to 49 ( 25 Questions ; Large Print) ✎

When a student first learns multiplication facts, try not to overwhelm them with the entire multiplication table. The following worksheets include one row of the facts in order with the target digit on the bottom and one row with the target digit on the top. The remaining rows include each of the facts once, but the target digit is randomly placed on the top or the bottom and the facts are randomly mixed on each row.

  • Multiplying (1 to 7) by Individual Facts Multiplying (1 to 7) by 1 ✎ Multiplying (1 to 7) by 2 ✎ Multiplying (1 to 7) by 3 ✎ Multiplying (1 to 7) by 4 ✎ Multiplying (1 to 7) by 5 ✎ Multiplying (1 to 7) by 6 ✎ Multiplying (1 to 7) by 7 ✎
  • Multiplying (0 to 7) by Individual Facts Multiplying (0 to 7) by 0 ✎ Multiplying (0 to 7) by 1 ✎ Multiplying (0 to 7) by 2 ✎ Multiplying (0 to 7) by 3 ✎ Multiplying (0 to 7) by 4 ✎ Multiplying (0 to 7) by 5 ✎ Multiplying (0 to 7) by 6 ✎ Multiplying (0 to 7) by 7 ✎
  • Horizontally Arranged Multiplying (1 to 7) by Individual Facts (100 Questions per page) Horizontally Arranged Multiplying (1 to 7) by 1 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 2 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 3 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 4 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 5 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 6 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 7 ( 100 Questions ) ✎
  • Horizontally Arranged Multiplying (1 to 7) by Individual Facts (50 Questions per page) Horizontally Arranged Multiplying (1 to 7) by 1 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 2 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 3 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 4 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 5 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 6 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 7) by 7 ( 50 Questions ) ✎
  • Horizontally Arranged Multiplying (1 to 7) by Individual Facts (25 Questions per page) Horizontally Arranged Multiplying (1 to 7) by 1 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 2 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 3 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 4 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 5 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 6 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 7) by 7 ( 25 Questions ; Large Print) ✎
  • Multiplying Doubles Multiplying Doubles up to 7 x 7

Multiplication Facts up to the 9 Times Table

homework & practice 5 1 patterns for multiplication facts

This section includes math worksheets for practicing multiplication facts from 0 to 81. There are three worksheets (marked with *) in this section that include all of the possible questions in the specified range exactly once on each page: the 64 question worksheet with no zeros or ones, the 81 question worksheet with no zeros, and the 100 question worksheet with zeros. All others either contain all the possible questions plus some repeats or a unique subset of the possible questions.

  • Multiplication Facts up to the 9 Times Table (No Zeros or Ones) Multiplication Facts to 81 ( 100 Questions) ( No Zeros or Ones ) ✎ Multiplication Facts to 81 ( 81 Questions) ( No Zeros or Ones ) ✎ *Multiplication Facts to 81 ( 64 Questions) ( No Zeros or Ones ) ✎ Multiplication Facts to 81 ( 50 Questions ) ( No Zeros or Ones ) ✎ Multiplication Facts to 81 ( 25 Questions ) ( No Zeros or Ones ) ✎
  • Multiplication Facts up to the 9 Times Table (No Zeros) Multiplication Facts to 81 ( 100 Questions) ( No Zeros ) ✎ *Multiplication Facts to 81 ( 81 Questions) ( No Zeros ) ✎ Multiplication Facts to 81 ( 50 Questions ) ( No Zeros ) ✎ Multiplication Facts to 81 ( 25 Questions ) ( No Zeros ) ✎
  • Multiplication Facts up to the 9 Times Table (With Zeros) *Multiplication Facts to 81 ( 100 Questions) ( With Zeros ) ✎ Multiplication Facts to 81 ( 81 Questions) ( With Zeros ) ✎ Multiplication Facts to 81 ( 50 Questions ) ( With Zeros ) ✎ Multiplication Facts to 81 ( 25 Questions ) ( With Zeros ) ✎
  • Horizontally Arranged Multiplication Facts up to the 8 Times Table Horizontally Arranged Multiplication Facts with Products to 64 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts with Products to 64 ( 50 Questions ) ✎ Horizontally Arranged Multiplication Facts with Products to 64 ( 25 Questions ; Large Print) ✎
  • Horizontally Arranged Multiplication Facts up to the 9 Times Table Horizontally Arranged Multiplication Facts with Products to 81 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts with Products to 81 ( 50 Questions ) ✎ Horizontally Arranged Multiplication Facts with Products to 81 ( 25 Questions ; Large Print) ✎

When learning multiplication facts, it is useful to have each fact isolated on a set of practice questions to help reinforce the individual fact. The following worksheets isolate each fact. These worksheets can be used as practice sheets, assessment sheets, or in conjunction with another teaching strategy such as manipulative use.

  • Multiplying (1 to 9) by Individual Facts (81 Questions per Page) Multiplying (1 to 9) by 0 ( 81 Questions) ✎ Multiplying (1 to 9) by 1 ( 81 Questions) ✎ Multiplying (1 to 9) by 2 ( 81 Questions) ✎ Multiplying (1 to 9) by 3 ( 81 Questions) ✎ Multiplying (1 to 9) by 4 ( 81 Questions) ✎ Multiplying (1 to 9) by 5 ( 81 Questions) ✎ Multiplying (1 to 9) by 6 ( 81 Questions) ✎ Multiplying (1 to 9) by 7 ( 81 Questions) ✎ Multiplying (1 to 9) by 8 ( 81 Questions) ✎ Multiplying (1 to 9) by 9 ( 81 Questions) ✎ Multiplying (1 to 9) by (3 and 4) ( 81 Questions) ✎ Multiplying (1 to 9) by (4 and 5) ( 81 Questions) ✎ Multiplying (1 to 9) by (5 and 6) ( 81 Questions) ✎ Multiplying (1 to 9) by (6 and 7) ( 81 Questions) ✎ Multiplying (1 to 9) by (7 and 8) ( 81 Questions) ✎ Multiplying (1 to 9) by (8 and 9) ( 81 Questions) ✎ Multiplying (1 to 9) by (6 to 8) ( 81 Questions) ✎ Multiplying (1 to 9) by (7 to 9) ( 81 Questions) ✎ Multiplying (1 to 9) by (6 to 9) ( 81 Questions) ✎
  • Multiplying (2 to 9) by Individual Facts (100 Questions per Page) Multiplying (2 to 9) by (6 to 8) ( 100 Questions) ✎ Multiplying (2 to 9) by (7 to 9) ( 100 Questions) ✎
  • Multiplying (1 to 9) by Individual Facts (36 Questions per Page; Large Print) Multiplying (1 to 9) by 0 ( 36 Questions) ✎ Multiplying (1 to 9) by 1 ( 36 Questions) ✎ Multiplying (1 to 9) by 2 ( 36 Questions) ✎ Multiplying (1 to 9) by 3 ( 36 Questions) ✎ Multiplying (1 to 9) by 4 ( 36 Questions) ✎ Multiplying (1 to 9) by 5 ( 36 Questions) ✎ Multiplying (1 to 9) by 6 ( 36 Questions) ✎ Multiplying (1 to 9) by 7 ( 36 Questions) ✎ Multiplying (1 to 9) by 8 ( 36 Questions) ✎ Multiplying (1 to 9) by 9 ( 36 Questions) ✎ Multiplying (1 to 9) by (6 and 7) ( 36 Questions) ✎ Multiplying (1 to 9) by (7 and 8) ( 36 Questions) ✎ Multiplying (1 to 9) by (8 and 9) ( 36 Questions) ✎ Multiplying (1 to 9) by (6 to 8) ( 36 Questions) ✎ Multiplying (1 to 9) by (7 to 9) ( 36 Questions) ✎ Multiplying (1 to 9) by (6 to 9) ( 36 Questions) ✎
  • Horizontally Arranged Multiplying (0 to 9) by Individual Facts (100 Questions per Page) Horizontally Arranged Multiplying ( 0 to 9 ) by 0 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 1 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 2 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 3 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 4 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 5 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 6 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 7 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 8 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 9 ( 100 Questions) ✎
  • Horizontally Arranged Multiplying (0 to 9) by Individual Facts (50 Questions per Page) Horizontally Arranged Multiplying ( 0 to 9 ) by 0 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 1 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 2 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 3 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 4 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 5 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 6 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 7 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 8 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 9 ( 50 Questions ) ✎
  • Horizontally Arranged Multiplying (0 to 9) by Individual Facts (25 Questions per Page; Large Print) Horizontally Arranged Multiplying ( 0 to 9 ) by 0 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 1 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 2 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 3 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 4 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 5 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 6 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 8 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 9 ) by 9 ( 25 Questions ; Large Print) ✎
  • Multiplying Doubles Multiplying Doubles up to 9 x 9

Some students are a little more motivated when learning is turned into a game. Multiplication bingo encourages students to recall multiplication facts in an environment of competition.

  • Multiplication Bingo Game Multiplication Bingo Cards for Facts 1 to 9 Multiplication Bingo Facts 1 to 9 Teacher Call Cards

Multiplication Facts up to the 10 Times Table

homework & practice 5 1 patterns for multiplication facts

Multiplying by 10 is often a lesson itself, but here we have included it with the other facts. Students usually learn how to multiply by 10 fairly quickly, so this section really is not a whole lot more difficult than the multiplication facts to 81 section.

  • Multiplication Facts up to the 10 Times Table (No Zeros or Ones) Multiplication Facts to 100 ( 100 Questions) ( No Zeros or Ones ) ✎ *Multiplication Facts to 100 ( 81 Questions) ( No Zeros or Ones ) ✎ Multiplication Facts to 100 ( 50 Questions ) ( No Zeros or Ones ) ✎ Multiplication Facts to 100 ( 25 Questions ) ( No Zeros or Ones ) ✎
  • Multiplication Facts up to the 10 Times Table (No Zeros) *Multiplication Facts to 100 ( 100 Questions) ( No Zeros ) ✎ Multiplication Facts to 100 ( 50 Questions ) ( No Zeros ) ✎ Multiplication Facts to 100 ( 25 Questions ) ( No Zeros ) ✎
  • Multiplication Facts up to the 10 Times Table (With Zeros) Multiplication Facts to 100 ( 100 Questions) ( With Zeros ) ✎ Multiplication Facts to 100 ( 50 Questions ) ( With Zeros ) ✎ Multiplication Facts to 100 ( 25 Questions ) ( With Zeros ) ✎
  • Horizontally Arranged Multiplication Facts up to the 10 Times Table Horizontally Arranged Multiplication Facts to 10 × 10 = 100 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts to 10 × 10 = 100 ( 50 Questions ) ✎

Some students find it easier to focus on one multiplication fact at a time. These multiplication worksheets include some repetition, of course, as there is only one thing to multiply by. Once students practice a few times, these facts will probably get stuck in their heads for life. Some of the later versions include a range of focus numbers. In those cases, each question will randomly have one of the focus numbers in question. For example, if the range is 6 to 8, the question might include a 6, 7 or 8 or more than one depending on which other factor was chosen for the second factor.

  • Multiplying (1 to 10) by Individual Facts (100 Questions per Page) Multiplying (1 to 10) by 0 ( 100 Questions) ✎ Multiplying (1 to 10) by 1 ( 100 Questions) ✎ Multiplying (1 to 10) by 2 ( 100 Questions) ✎ Multiplying (1 to 10) by 3 ( 100 Questions) ✎ Multiplying (1 to 10) by 4 ( 100 Questions) ✎ Multiplying (1 to 10) by 5 ( 100 Questions) ✎ Multiplying (1 to 10) by 6 ( 100 Questions) ✎ Multiplying (1 to 10) by 7 ( 100 Questions) ✎ Multiplying (1 to 10) by 8 ( 100 Questions) ✎ Multiplying (1 to 10) by 9 ( 100 Questions) ✎ Multiplying (1 to 10) by 10 ( 100 Questions) ✎
  • Multiplying (1 to 10) by Ranges Individual Facts (100 Questions per Page) Multiplying (1 to 10) by (6 and 7) ( 100 Questions) ✎ Multiplying (1 to 10) by (7 and 8) ( 100 Questions) ✎ Multiplying (1 to 10) by (8 and 9) ( 100 Questions) ✎ Multiplying (1 to 10) by (9 and 10) ( 100 Questions) ✎ Multiplying (1 to 10) by (6 to 8) ( 100 Questions) ✎ Multiplying (1 to 10) by (7 to 9) ( 100 Questions) ✎ Multiplying (1 to 10) by (8 to 10) ( 100 Questions) ✎ Multiplying Doubles (aka Squares) from (1 to 10) ( 100 Questions)
  • Multiplying (1 to 10) by Individual Facts (50 Questions per Page) Multiplying (1 to 10) by 0 ( 50 Questions ) ✎ Multiplying (1 to 10) by 1 ( 50 Questions ) ✎ Multiplying (1 to 10) by 2 ( 50 Questions ) ✎ Multiplying (1 to 10) by 3 ( 50 Questions ) ✎ Multiplying (1 to 10) by 4 ( 50 Questions ) ✎ Multiplying (1 to 10) by 5 ( 50 Questions ) ✎ Multiplying (1 to 10) by 6 ( 50 Questions ) ✎ Multiplying (1 to 10) by 7 ( 50 Questions ) ✎ Multiplying (1 to 10) by 8 ( 50 Questions ) ✎ Multiplying (1 to 10) by 9 ( 50 Questions ) ✎ Multiplying (1 to 10) by 10 ( 50 Questions ) ✎
  • Multiplying (1 to 10) by Ranges of Individual Facts (50 Questions per Page) Multiplying (1 to 10) by (6 and 7) ( 50 Questions ) ✎ Multiplying (1 to 10) by (7 and 8) ( 50 Questions ) ✎ Multiplying (1 to 10) by (8 and 9) ( 50 Questions ) ✎ Multiplying (1 to 10) by (9 and 10) ( 50 Questions ) ✎ Multiplying (1 to 10) by (6 to 8) ( 50 Questions ) ✎ Multiplying (1 to 10) by (7 to 9) ( 50 Questions ) ✎ Multiplying (1 to 10) by (8 to 10) ( 50 Questions ) ✎
  • Multiplying (1 to 10) by Individual Facts (36 Questions per Page) Multiplying (1 to 10) by 0 ( 36 Questions) ✎ Multiplying (1 to 10) by 1 ( 36 Questions) ✎ Multiplying (1 to 10) by 2 ( 36 Questions) ✎ Multiplying (1 to 10) by 3 ( 36 Questions) ✎ Multiplying (1 to 10) by 4 ( 36 Questions) ✎ Multiplying (1 to 10) by 5 ( 36 Questions) ✎ Multiplying (1 to 10) by 6 ( 36 Questions) ✎ Multiplying (1 to 10) by 7 ( 36 Questions) ✎ Multiplying (1 to 10) by 8 ( 36 Questions) ✎ Multiplying (1 to 10) by 9 ( 36 Questions) ✎ Multiplying (1 to 10) by 10 ( 36 Questions) ✎
  • Multiplying (1 to 10) by Ranges of Individual Facts (42 Questions per Page) Multiplying (1 to 10) by (6 and 7) ( 42 Questions) ✎ Multiplying (1 to 10) by (7 and 8) ( 42 Questions) ✎ Multiplying (1 to 10) by (8 and 9) ( 42 Questions) ✎ Multiplying (1 to 10) by (9 and 10) ( 42 Questions) ✎ Multiplying (1 to 10) by (6 to 8) ( 42 Questions) ✎ Multiplying (1 to 10) by (7 to 9) ( 42 Questions) ✎ Multiplying (1 to 10) by (8 to 10) ( 42 Questions) ✎
  • Horizontally Arranged Multiplying (1 to 10) by Individual Facts (100 Questions per Page) Horizontally Arranged Multiplying (1 to 10) by 1 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 2 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 3 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 4 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 5 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 6 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 7 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 8 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 9 ( 100 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 10 ( 100 Questions ) ✎
  • Horizontally Arranged Multiplying (1 to 10) by Individual Facts (50 Questions per Page) Horizontally Arranged Multiplying (1 to 10) by 1 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 2 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 3 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 4 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 5 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 6 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 7 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 8 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 9 ( 50 Questions ) ✎ Horizontally Arranged Multiplying (1 to 10) by 10 ( 50 Questions ) ✎
  • Horizontally Arranged Multiplying (1 to 10) by Individual Facts (25 Questions per Page; Large Print) Horizontally Arranged Multiplying (1 to 10) by 1 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 2 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 3 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 4 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 5 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 6 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 8 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying (1 to 10) by 10 ( 25 Questions ; Large Print) ✎

If a student is learning their times tables one at a time, these worksheets will help with practice and assessment along the way. Each one increases the range for the second factor.

  • Multiplying (1 to 10) by Increasing Ranges of Individual Facts (100 Questions per Page) Multiplying (1 to 10) by (1 and 2) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 3) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 4) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 5) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 6) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 7) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 8) ( 100 Questions) ✎ Multiplying (1 to 10) by (1 to 9) ( 100 Questions) ✎
  • Multiplying (1 to 10) by Increasing Ranges of Individual Facts (50 Questions per Page) Multiplying (1 to 10) by (1 and 2) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 3) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 4) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 5) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 6) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 7) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 8) ( 50 Questions ) ✎ Multiplying (1 to 10) by (1 to 9) ( 50 Questions ) ✎
  • Multiplying Doubles Multiplying Doubles up to 10 x 10

Multiplication Facts up to the 12 Times Table

homework & practice 5 1 patterns for multiplication facts

The Holy Grail of elementary mathematics. Once you learn your twelve times table, it is smooth sailing from now on, right? Well, not exactly, but having a good mental recall of the multiplication facts up to 144 will certainly set you on the right path for future success in your math studies.

  • Multiplication Facts up to the 12 Times Table (No Zeros or Ones) Multiplication Facts to 144 ( 100 Questions) ( No Zeros or Ones ) ✎ Multiplication Facts to 144 ( 50 Questions ) ( No Zeros or Ones ) ✎ Multiplication Facts to 144 ( 25 Questions ) ( No Zeros or Ones ) ✎
  • Multiplication Facts up to the 12 Times Table (No Zeros) Multiplication Facts to 144 ( 100 Questions) ( No Zeros ) ✎ Multiplication Facts to 144 ( 50 Questions ) ( No Zeros ) ✎ Multiplication Facts to 144 ( 25 Questions ) ( No Zeros ) ✎
  • Multiplication Facts up to the 12 Times Table (With Zeros) Multiplication Facts to 144 ( 100 Questions) ( With Zeros ) ✎ Multiplication Facts to 144 ( 50 Questions ) ( With Zeros ) ✎ Multiplication Facts to 144 ( 25 Questions ) ( With Zeros ) ✎
  • Horizontally Arranged Multiplication Facts up to the 11 Times Table Horizontally Arranged Multiplication Facts to 11 × 11 = 121 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts to 11 × 11 = 121 ( 50 Questions ) ✎
  • Horizontally Arranged Multiplication Facts up to the 12 Times Table Horizontally Arranged Multiplication Facts to 12 × 12 = 144 ( 100 Questions) ✎ Horizontally Arranged Multiplication Facts to 12 × 12 = 144 ( 50 Questions ) ✎

With one, two or three target numbers at a time, students are able to practice just the multiplication facts they need.

  • Multiplying (1 to 12) by Individual Facts (100 Questions per Page) Multiplying (1 to 12) By 0 ( 100 Questions) ✎ Multiplying (1 to 12) By 1 ( 100 Questions) ✎ Multiplying (1 to 12) By 2 ( 100 Questions) ✎ Multiplying (1 to 12) By 3 ( 100 Questions) ✎ Multiplying (1 to 12) By 4 ( 100 Questions) ✎ Multiplying (1 to 12) By 5 ( 100 Questions) ✎ Multiplying (1 to 12) By 6 ( 100 Questions) ✎ Multiplying (1 to 12) By 7 ( 100 Questions) ✎ Multiplying (1 to 12) By 8 ( 100 Questions) ✎ Multiplying (1 to 12) By 9 ( 100 Questions) ✎ Multiplying (1 to 12) By 10 ( 100 Questions) ✎ Multiplying (1 to 12) By 11 ( 100 Questions) ✎ Multiplying (1 to 12) By 12 ( 100 Questions) ✎
  • Multiplying (1 to 12) by RAnges of Individual Facts (100 Questions per Page) Multiplying (1 to 12) By (0 and 1) ( 100 Questions) ✎ Multiplying (1 to 12) By (6 and 7) ( 100 Questions) Multiplying (1 to 12) By (7 and 8) ( 100 Questions) ✎ Multiplying (1 to 12) By (8 and 9) ( 100 Questions) ✎ Multiplying (1 to 12) By (9 and 10) ( 100 Questions) ✎ Multiplying (1 to 12) By (10 and 11) ( 100 Questions) ✎ Multiplying (1 to 12) By (11 and 12) ( 100 Questions) ✎ Multiplying (1 to 12) By (6, 7 and 8) ( 100 Questions) ✎ Multiplying (1 to 12) By (7, 8 and 9) ( 100 Questions) ✎ Multiplying (1 to 12) By (8, 9 and 10) ( 100 Questions) ✎ Multiplying (1 to 12) By (9, 10 and 11) ( 100 Questions) ✎ Multiplying (1 to 12) By (10, 11 and 12) ( 100 Questions) ✎
  • Multiplying (1 to 12) by Individual Facts (50 Questions per Page) Multiplying (1 to 12) By 0 ( 50 Questions ) ✎ Multiplying (1 to 12) By 1 ( 50 Questions ) ✎ Multiplying (1 to 12) By 2 ( 50 Questions ) ✎ Multiplying (1 to 12) By 3 ( 50 Questions ) ✎ Multiplying (1 to 12) By 4 ( 50 Questions ) ✎ Multiplying (1 to 12) By 5 ( 50 Questions ) ✎ Multiplying (1 to 12) By 6 ( 50 Questions ) ✎ Multiplying (1 to 12) By 7 ( 50 Questions ) ✎ Multiplying (1 to 12) By 8 ( 50 Questions ) ✎ Multiplying (1 to 12) By 9 ( 50 Questions ) ✎ Multiplying (1 to 12) By 10 ( 50 Questions ) ✎ Multiplying (1 to 12) By 11 ( 50 Questions ) ✎ Multiplying (1 to 12) By 12 ( 50 Questions ) ✎
  • Multiplying (1 to 12) by Ranges of Individual Facts (50 Questions per Page) Multiplying (1 to 12) By (6 and 7) ( 50 Questions ) ✎ Multiplying (1 to 12) By (7 and 8) ( 50 Questions ) ✎ Multiplying (1 to 12) By (8 and 9) ( 50 Questions ) ✎ Multiplying (1 to 12) By (9 and 10) ( 50 Questions ) ✎ Multiplying (1 to 12) By (10 and 11) ( 50 Questions ) ✎ Multiplying (1 to 12) By (11 and 12) ( 50 Questions ) ✎ Multiplying (1 to 12) By (6, 7 and 8) ( 50 Questions ) ✎ Multiplying (1 to 12) By (7, 8 and 9) ( 50 Questions ) ✎ Multiplying (1 to 12) By (8, 9 and 10) ( 50 Questions ) ✎ Multiplying (1 to 12) By (9, 10 and 11) ( 50 Questions ) ✎ Multiplying (1 to 12) By (10, 11 and 12) ( 50 Questions ) ✎
  • Horizontally Arranged Multiplying (0 to 12) by Individual Facts (100 Questions per Page) Horizontally Arranged Multiplying ( 0 to 12 ) by 0 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 1 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 2 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 3 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 4 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 5 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 6 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 7 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 8 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 9 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 10 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 11 ( 100 Questions) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 12 ( 100 Questions) ✎
  • Horizontally Arranged Multiplying (0 to 12) by Individual Facts (50 Questions per Page) Horizontally Arranged Multiplying ( 0 to 12 ) by 0 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 1 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 2 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 3 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 4 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 5 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 6 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 7 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 8 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 9 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 10 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 11 ( 50 Questions ) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 12 ( 50 Questions ) ✎
  • Horizontally Arranged Multiplying (0 to 12) by Individual Facts (25 Questions per Page; Large Print) Horizontally Arranged Multiplying ( 0 to 12 ) by 0 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 1 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 2 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 3 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 4 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 5 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 6 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 8 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 11 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Multiplying ( 0 to 12 ) by 12 ( 25 Questions ; Large Print) ✎

In the following multiplication worksheets, the facts are grouped into anchor groups.

  • Multiplying (1 to 12) by Anchor Facts (Commonly Grouped Facts) Multiplying by Anchor Facts 0, 1, 2, 5 and 10 Multiplying by Facts 3, 4 and 6 Multiplying by Facts 7, 8 and 9 Multiplying by Facts 11 and 12 Multiplying by Facts 0 to 5 and 10 Multiplying by Facts 0 to 7 and 10 Multiplying by Facts 0 to 10
  • Multiplying (1 to 12) by Increasing Ranges of Individual Facts (100 Questions per Page) Multiplying (1 to 12) by (1 to 5) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 6) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 7) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 8) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 9) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 10) ( 100 Questions) ✎ Multiplying (1 to 12) by (1 to 11) ( 100 Questions) ✎
  • Multiplying (1 to 12) by Increasing Ranges of Individual Facts (50 Questions per Page) Multiplying (1 to 12) by (1 to 5) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 6) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 7) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 8) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 9) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 10) ( 50 Questions ) ✎ Multiplying (1 to 12) by (1 to 11) ( 50 Questions ) ✎

On the following multiplication worksheets, the questions are in order and might be useful for students to remember their times tables or to help them with skip counting.

  • Repetitive Multiplying of Individual Facts by (1 to 12) Repetitive Multiplying of 1 by (1 to 12) Repetitive Multiplying of 2 by (1 to 12) Repetitive Multiplying of 3 by (1 to 12) Repetitive Multiplying of 4 by (1 to 12) Repetitive Multiplying of 5 by (1 to 12) Repetitive Multiplying of 6 by (1 to 12) Repetitive Multiplying of 7 by (1 to 12) Repetitive Multiplying of 8 by (1 to 12) Repetitive Multiplying of 9 by (1 to 12) Repetitive Multiplying of 10 by (1 to 12) Repetitive Multiplying of 11 by (1 to 12) Repetitive Multiplying of 12 by (1 to 12)
  • Multiplying Doubles Multiplying Doubles up to 12 x 12

Multiplication Facts beyond the 12 Times Table

homework & practice 5 1 patterns for multiplication facts

It is quite likely that there are students who have mastered all of the multiplication facts up to the 12 times tables. In case they want/need an extra challenge, this sections includes multiplication facts worksheets above 12 with the expectation that students will use mental math or recall to calculate the answers.

  • Multiplying with Increasing Upper Range Factors from 13 to 20 Multiplying with Factors 2 to 13 (100 Questions) ✎ Multiplying with Factors 2 to 14 (100 Questions) ✎ Multiplying with Factors 2 to 15 (100 Questions) ✎ Multiplying with Factors 5 to 15 (100 Questions) ✎ Multiplying with Factors 5 to 16 (100 Questions) ✎ Multiplying with Factors 5 to 17 (100 Questions) ✎ Multiplying with Factors 5 to 18 (100 Questions) ✎ Multiplying with Factors 5 to 19 (100 Questions) ✎ Multiplying with Factors 5 to 20 (100 Questions) ✎
  • Multiplying by Individual Facts from 13 to 25 Multiplying by 13 (49 Questions) ✎ Multiplying by 14 (49 Questions) ✎ Multiplying by 15 (49 Questions) ✎ Multiplying by 16 (49 Questions) ✎ Multiplying by 17 (49 Questions) ✎ Multiplying by 18 (49 Questions) ✎ Multiplying by 19 (49 Questions) ✎ Multiplying by 20 (49 Questions) ✎ Multiplying by 21 (49 Questions) ✎ Multiplying by 22 (49 Questions) ✎ Multiplying by 23 (49 Questions) ✎ Multiplying by 24 (49 Questions) ✎ Multiplying by 25 (49 Questions) ✎

Expand your mental math abilities by learning multiplication facts beyond the twelve times tables with these worksheets. They are horizontally arranged, so you won't be tempted to use an algorithm. Even if you can't recall all these facts yet, you can still figure them out using the distributive property. Let's say you want to multiply 19 by 19, that could be (10 × 19) + (9 × 19). Too hard? How about (10 × 10) + (10 × 9) + (9 × 10) + (9 × 9)! Or just remember that 19 × 19 = 361 :)

  • Horizontally Arranged Multiplying with Increasing Upper Range Factors from 13 to 25 Horizontally Arranged Multiplying with Factors 1 to 13 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 1 to 14 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 1 to 15 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 2 to 16 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 2 to 17 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 2 to 18 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 2 to 19 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 2 to 20 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 5 to 21 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 5 to 22 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 5 to 23 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 5 to 24 (100 Questions) ✎ Horizontally Arranged Multiplying with Factors 5 to 25 (100 Questions) ✎
  • Horizontally Arranged Multiplying by Individual Facts from 13 to 25 Horizontally Arranged Multiplying (1 to 13) by 13 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 14) by 14 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 15) by 15 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 16) by 16 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 17) by 17 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 18) by 18 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 19) by 19 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 20) by 20 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 21) by 21 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 22) by 22 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 23) by 23 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 24) by 24 (100 Questions) ✎ Horizontally Arranged Multiplying (1 to 25) by 25 (100 Questions) ✎
  • Multiplying Doubles Multiplying Doubles up to 15 x 15 Multiplying Doubles up to 20 x 20

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Another Look! Practice 5-1 You can find and explain multiplication...

Answer & explanation.

I hope it will help you.

To address this task, let's first understand the structure of the given table, which appears to be a multiplication table, and then identify the columns that need to be shaded based on the instructions.

### Part 1: Find the Column with Products Equal to the Sum of Shaded Numbers in Each Row

The table provided is a multiplication table, with each cell containing the product of its row and column headers. The 6th and 8th columns are shaded. We need to find another column such that the product in that column for each row is the sum of the shaded numbers in that row.

Step 1: Calculate the Sum of Shaded Numbers in Each Row We'll calculate the sum of the 6th and 8th column values for each row.

 Step 2: Identify the Column Matching this Sum Once we have the sum, we'll find which column has the same products.

Let's perform these calculations:

For each row  x , the shaded numbers are in the 6th and 8th columns, which are  6x  and  8x  respectively. The sum is  6x + 8x = 14x . So, we're looking for a column where the product in each row is  14x .

Answer for Part 1 : The column that should be shaded based on this criterion is the 14th column, but since our table only goes up to 9, we don't have a 14th column to shade. Therefore, within the given table, there is no column where the products match the sum of the shaded columns for each row.

### Part 2: Show 3 Examples of the Pattern that Relates the Shaded Columns

We need to look for patterns relating the 6th and 8th columns and potentially another column.

Observations: 1. The 6th column contains multiples of 6. 2. The 8th column contains multiples of 8. 3. The pattern seems to be related to the multiples of 6 and 8.

 Examples: 1. For row 2:   6 × 2 = 1 2  and   8 × 2 = 1 6 . 2. For row 4:  6 × 4 = 2 4  and   8 × 4 = 3 2 . 3. For row 7:   6 × 7 = 4 2  and   8 × 7 = 5 6 .

Each of these examples shows the relationship in the shaded columns, where each value is a multiple of its column number times the row number.

### Part 3: Explanation of the Pattern:

The pattern arises from the basic principle of multiplication. The shaded columns are the 6th and 8th, so the numbers in these columns are obtained by multiplying the row number by 6 or 8, respectively. This pattern is a fundamental property of a multiplication table and reflects the distributive property of multiplication over addition.

### Part 4: Finding a Similar Pattern with Different Products

We can apply the same method to find a similar pattern using different products. For example, we could look for the sum of products in the 3rd and 4th columns and find a column that matches this sum.

The 3rd column contains multiples of 3, and the 4th column contains multiples of 4. The sum of these would be  7x , suggesting we should look at the 7th column for a similar pattern.

Answer for Part 4: The similar pattern can be found in the 3rd, 4th, and 7th columns of the multiplication table.

### Part 5: Explanation of How to Choose Columns to Shade:

Columns are chosen based on their numerical relationship in the multiplication table. By identifying columns whose multiples add up to another column's multiples, we can find patterns in the table. The choice is guided by basic multiplication and the properties of numbers - specifically, the distributive property, which states that a(b + c) = ab + ac .

For example, in the pattern with the 3rd and 4th columns, we are essentially using the distributive property where  x(3 + 4) = 3x + 4x , which corresponds to the 7th column.

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Multiplying by 5

Introduction to Multiplication Workbook

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Multiplication facts with 5's

Students multiply 5 times numbers between 1 and 12. The first worksheet is a table of all multiplication facts (1-12) with five as a factor.

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enVision Lesson 5.1- Grade 3- Patterns for Multiplication Facts

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This lesson plan corresponds to lesson 5.1 Patterns for Multiplication Facts. This plan includes the next generation standards, lesson objectives, essential understanding, vocabulary, step by step flow of lesson that includes guiding questions, and small group instruction.

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Multiplication Facts of 5 Worksheets for Kids

Multiplication facts of 5 worksheets help children practice their multiplying skills as they multiply different numbers with 5. These printable worksheets encourage children by helping them practice vertical and horizontal multiplication. Get started now!

homework & practice 5 1 patterns for multiplication facts

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Identify the Facts of 5 - Worksheet

Identify the Facts of 5

An engaging worksheet designed to reinforce and test your knowledge on multiplication facts of 5.

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Identify and match the correct answers to multiplication problems involving the number 5 in this engaging worksheet.

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An engaging worksheet designed to enhance students' understanding of the multiplication facts of 5 through sorting.

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homework & practice 5 1 patterns for multiplication facts

Home / United States / Math Classes / 3rd Grade Math / Patterns in Multiplication Tables

Patterns in Multiplication Tables

A multiplication table is a list of multiples of a number. Since multiplication is essentially the same as repeated mult iplication of a number, we can figure out some patterns between the multiples of the number. Learn how to use patterns to your advantage to quickly find the multiples of any given number. ...Read More Read Less

Table of Contents

homework & practice 5 1 patterns for multiplication facts

What is a Multiplication Table?

Multiplication table of numbers from 1 to 10.

  • Patterns in the Multiplication Table

Patterns in Multiples of Even and Odd Numbers

Pattern related to the distributive property of multiplication, pattern related to the commutative property of multiplication.

  • Solved Examples
  • Frequently Asked Questions

A multiplication table is a table that represents the multiples of two numbers. Familiarizing ourselves with multiplication tables will help us solve math questions easily. The multiples are also known as products and the two numbers that are multiplied are known as factors .

The multiplication table of numbers from 1 to 10 can be obtained by multiplying the numbers in the same range by each other. The multiplication table of numbers from 1 to 10 is as follows:

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To find the multiple of any number, we need to look at the multiplication table and find the multiple corresponding to that number and the factor with which we are multiplying the number.

What are Patterns in the Multiplication Table?

A pattern is something that can be observed repeatedly in certain situations. Patterns can be observed in the clothes you wear, the flowers in the garden, the ocean, and lots of other things. Similarly, we can observe patterns in the multiplication table as well.

Let’s first consider the product of even numbers.

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It is clear that the multiples of even numbers are always even numbers. That is, the products of even numbers always end with 2, 4, 6, 8, or 0.

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On the other hand, the multiples of an odd number alternate between odd and even numbers. If an odd number is multiplied by an odd number, the product will also be an odd number. If an odd number is multiplied by an even number, the product will always be an even number.

For example, 5 \( \times \) 5 = 25, 5 \( \times \) 6 = 30, and 5 \( \times \) 7 = 35 , where 5 and 7 are odd numbers and 6 is an even number. 

There is another pattern hidden among the multiples of odd and even numbers. All products of 4 are double the products of 2. All products of 6 are double the products of 3. Similarly, all products of 8 are twice the products of 4, and all products of 10 are twice the products of 5. 

We can observe an interesting pattern in the multiplication table by looking at its columns. Consider the columns for 3, 5, and 8 and compare the products in these columns.

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We know that 3 + 5 = 8 . An interesting fact here is that the multiples of these numbers follow the same rule. That is, the multiples of 8 are the sum of multiples of 3 and 5 for a given factor. For example, 15, 25, and 40 are multiples of 3, 5, and 8 that we get when we multiply these numbers by 5. And 15 + 25 = 40 . Similarly, 27 + 45 = 72 , where 27, 45, and 72 are multiples of 3, 5, and 8 that we get by multiplying them with 9. 

This pattern is created due to the distributive property of multiplication. The property states that multiplying the sum of two or more addends by a number is the same as multiplying each addend separately by the number and then adding the products together. In math terms, if c = a + b , then 5 \( \times \) c = 5 \( \times \) (a + b) = 5 \( \times \) a + 5 \( \times \) b .

Let’s consider an example. We know that 3 + 5 = 8

Multiplying both sides by 5:

(3 + 5) \( \times \) 5 = 8 \( \times \) 5

3 \( \times \) 5 + 5 \( \times \) 5 = 40

15 + 25 = 40

The same property can be observed for all columns where the sum of values in any two columns is equal to the value of another column for a given row. 

new5

Look for a pattern among the highlighted numbers in the diagonals. One of the highlighted diagonals has the numbers 7, 12, 15, 16, 15, 12, and 7. When we reach the middle of the first diagonal, we have 4 \( \times \) 4 = 16 . The products following this number are the same as the ones that appeared before it. But they are in reverse order. 

The same pattern can be observed in the second and the third highlighted diagonals. The numbers in the second diagonal are 9, 16, 21, 24, 25, 24, 21, 16, and 9, and the numbers in the third diagonal are 20, 27, 32, 35, 36, 35, 32, 27, and 20.

This pattern is created due to the commutative property of multiplication . The commutative property of multiplication states that when we multiply numbers in any order, we will get the same result. 

For example, 2 \( \times \) 3 = 6 and 3 \( \times \) 2 = 6, 5 \( \times \) 8 = 40 and 8 \( \times \) 5 = 40 . This applies to the multiplication of all numbers. 

The numbers in the diagonals repeat themselves in the reverse order because of the factors. Consider the diagonal with the numbers 7, 12, 15, 16, 15, 12, and 7. 16 is obtained by multiplying 4 by itself. On its left side, 15 is obtained by multiplying 5 \( \times \) 3, and on its right side, 15 is obtained by multiplying 3 \( \times \) 5, giving the same result. The same trend is observed among all the numbers in all diagonals.

Solved Examples on Patterns for Multiplication

Example 1: The highlighted row and column of the multiplication table have the same set of numbers. Describe the property that creates this pattern.

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The property which creates this pattern can be identified by observing the numbers in the highlighted row and column. Consider the number 21 in the highlighted row and the highlighted column. The number 21 in the highlighted column is obtained by multiplying 7 \( \times \) 3 , and the 21 in the highlighted row is obtained by multiplying 3 \( \times \) 7 .

The commutative property states that 7 \( \times \) 3 = 3 \( \times \) 7 = 21 . This pattern is just a variation of the pattern we observed in the diagonals of the table. 

Example 2: Compare the rows of 3 and 6. Describe the pattern observed in the multiples of these numbers.

new7

We know that 6 = 3 \( \times \) 2 .

So, when any number is multiplied by 6, it can be rewritten as that number multiplied by the double of 3. For example, 24 = 6\( \times \) 4 and 24 = 3 \( \times \) 2 \( \times \) 4 = 3 \( \times \) 8 .

Therefore, the numbers in the second highlighted row are double the numbers in the first highlighted row.

Example 3: Find the missing number in the following set of numbers. Describe the property observed in this case.

9, 16, __, 24, 25, __, 21, __, 9

This set of numbers can be picked up from a diagonal of the multiplication table.

new8

The missing numbers are 21, 24, and 16. So, the complete set of numbers becomes 9, 16, 21, 24, 25, 24, 21, 16, and 9. We can see that the numbers repeat themselves in reverse order after the number 25, which is 5 \( \times \) 5 .

This pattern is created due to the commutative property of multiplication. 

Example 4: Joel raises a few hens in his backyard. The number of eggs produced by his backyard farm is given below.

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Find the number of days required to produce 28 eggs. 

The number of days are 3, 6, and 9, and the number of eggs produced are 12, 24, and 36. We need to find a number connecting these two sets of numbers.

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From the multiplication table, it is clear that we get 12, 24, and 36 when we multiply 4 with 3, 6, and 9, respectively. This means the farm can produce 4 eggs in a day. 

To find the number of days required to produce 28 eggs, we just need to find the number that relates to 28 and 4.

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Since 7 times 4 is 28, the number of days required to produce 28 eggs is 7.

What do you observe in the products of any number multiplied by 1?

The product of any number when multiplied by 1 is the number itself. When 1 is one of the factors, the multiples will be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on.

What do you observe in the products of any number when multiplied by 2?

When a number is multiplied by two, we are essentially doubling the number. Also, the product will always be an even number.

What do you observe in the ones’ place of the multiples of 5?

The multiples of 5 always end with either 0 or 5. If 5 is multiplied by an even number, the digit in the ones place is always 0. On the other hand, if 5 is multiplied by an odd number, the digit in the ones’ place is always 5. 

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  1. How To Teach Multiplication Table Teaching Multiplication Tables

    homework & practice 5 1 patterns for multiplication facts

  2. Practice for Multiplication Facts by Kayla B's Classroom

    homework & practice 5 1 patterns for multiplication facts

  3. Using a Hundreds Chart to Find Multiplication Patterns

    homework & practice 5 1 patterns for multiplication facts

  4. Printable Multiplication Facts Chart

    homework & practice 5 1 patterns for multiplication facts

  5. 5th Grade Multiplication Math Facts for Practice

    homework & practice 5 1 patterns for multiplication facts

  6. lesson 1-5 multiplication patterns

    homework & practice 5 1 patterns for multiplication facts

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  1. class9th practice set 5.1 chapter qudrilateral questions1andanswers inteligent class9th practice 5.1

  2. Multiply by 5 with the learning cup

  3. Multiplication Patterns with Decimals

  4. The Area Model and Division

  5. Multiply By 8 Lesson

  6. Grade 5 Chapter 2 Lesson 4 Multiplication Patterns

COMMENTS

  1. 5-1: Patterns for Multiplication Facts

    About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...

  2. Big Ideas Math Answers Grade 3 Chapter 5 Patterns and Fluency

    Answer: Structure Describe a pattern you notice Think and Grow: The Multiplication Table Example Identify the property shown by the pattern in the multiplication table. (1 × 3) + (1 × 5) = 1 × (3 + 5) (2 × 3) + (2 × 5) = 2 × (3 + 5) (3 × 3) + (3 × 5) = 3 × (3 + 5)

  3. Go Math 5th Grade Lesson 1,5 Multiplication Patterns

    83 9.9K views 6 years ago All 5th Grade Go Math Videos This Go Math video focuses on this Essential Question: How can you use a basic fact and a pattern to multiply by a 2-digit number. This...

  4. Multiplication Worksheets

    Math Math by topic Multiplication Multiplication Worksheets Multiplication worksheets for grades 2 to 6 Our multiplication worksheets start with the basic multiplication facts and progress to multiplying large numbers in columns. We emphasize "mental multiplication" exercises to improve numeracy skills. Choose your grade / topic:

  5. Multiplication Patterns in Times Tables

    Want multiplication activities and resources designed to help students master multiplication facts, build number sense, and improve understanding of patterns in the multiplication fact families? I love using a 120's chart to help guide students to discover multiplication patterns on their own!

  6. Results for savvas 5-1 math patterns for multiplication

    Go Math Practice - 5th Grade Ch 1 - Place Value, Multiplication, and Expressions Created by Joanna Riley What's Included Included in this pack are a total of 14 worksheets on all the lessons in the Go Math book, a midchapter checkpoint practice, and an end of the chapter checkpoint practice sheet.

  7. 5 Exciting Multiplication for 5th Grade Resources

    Multiplication for 5th grade is all about the standard algorithm. And while the algorithm has a lot of steps, the concept and concrete learning has been tackled in 4th grade. So now in 5th grade, we can focus on the algorithm. This is one of those math games that students just need to practice over and over again.

  8. enVision Math Practice 3rd Grade Topic 5.1

    This is an 4 question worksheet with a review of the lesson 5.1 in the 3rd grade enVision Math series: Patterns for Multiplication Facts. There are two versions. One for the 2016 edition and one for the 2024 edition. Can also be used as a quiz, formative assessment, or homework. Answer Key is included.

  9. Multiplication Facts Worksheets

    Multiplying (1 to 12) by 6 (100 Questions) ( 1535 views this week) Multiplication Facts Tables The multiplication tables with individual questions include a separate box for each number. In each box, the single number is multiplied by every other number with each question on one line.

  10. Another Look! Practice 5-1 You can find and explain multiplication

    The pattern arises from the basic principle of multiplication. The shaded columns are the 6th and 8th, so the numbers in these columns are obtained by multiplying the row number by 6 or 8, respectively. This pattern is a fundamental property of a multiplication table and reflects the distributive property of multiplication over addition.

  11. Multiplication Facts of 5

    Pre-K K 1 2 3 4 5 Multiplication Facts of 5 Multiplication by 5 Using Array Model Game Have your own math-themed party by learning how to multiply by 5 using array models. 3 3.OA.7 VIEW DETAILS Multiplication Facts of 5 Find the Product Using Multiplication Chart Game Find the product using multiplication charts in this game. 3 3.OA.7 VIEW DETAILS

  12. Patterns in Multiplication and Division Facts (examples, solutions

    1. Write the products as fast as you can into the chart. d. Explain how 7 × 6 = (5 × 6) + (2 × 6) is shown in the table. e. Use what you know to find the product of 4 × 16 or 8 fours + 8 fours. 2. In the lesson, we found that n × n is the sum of the first n odd numbers. Use this pattern to find the value of n for each equation below.

  13. Go Math 5th Grade Lesson 1.5 Multiplication Patterns UPDATED

    This Go Math video focuses on this Essential Question: How can you use a basic fact and a pattern to multiply by a 2-digit number. This video continues to em...

  14. Multiplying by 5 worksheets

    The first worksheet is a table of all multiplication facts (1-12) with five as a factor. 5 times table: Worksheet #1. 49 questions: Worksheet #2 Worksheet #3. 100 questions: Worksheet #4 Worksheet #5. 3 More.

  15. enVision Lesson 5.1- Grade 3- Patterns for Multiplication Facts

    Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. Identify arithmetic patterns (including patterns in the ...

  16. Everyday Mathematics

    5-5. Multiplication Facts Strategies: Doubling, Part 1 ... Home Link 5-6 English Español Selected Answers. 5-7. Patterns in Products. Home Link 5-7 English Español Selected Answers. 5-8. Finding Missing Factors. Home Link 5-8 English ... access resources to help your child with homework or brush up on your math skills.

  17. PDF Name Lesson 1.5 Multiplication Patterns

    Multiplication Patterns Practice and Homework Lesson 1.5 COMMON CORE STANDARD—5.NBT.A.2 Understand the place value system. Use mental math to complete the pattern. 1. 8 3 24 2. 5 6 __ 3. 3 __ 27 (8 3) 101 __ 240 (5 6) 101 __ (3 9) 101 __ (8 3) 102 __ 2,400 (5 6) 102 __

  18. Describe Patterns

    • Intro Describe Patterns - Lesson 5.1 Mrmathblog 25.3K subscribers Subscribe Subscribed 144 Share Save 30K views 9 years ago 3rd Grade Math This Third Grade lesson uses tables to describe...

  19. Multiplication using Facts and Patterns (examples, solutions, videos

    Math Worksheets Share this page to Google Classroom Examples, solutions, videos, stories and songs to help Grade 3 students learn how to multiply using fact families and patterns. The following diagram shows some examples of the multiplication division fact families.

  20. Solved Another Look! Additional You can find and exnlain

    Practice 5-1 Patterns for Multiplication Facts rou can see that the products of 6 increase by 6 as the other factor increases. So, you know that 4 groups of 6 is the same as 3 groups of 6 plus 1 more group of 6 . You can use the Distributive Property to explain, This problem has been solved!

  21. PDF Mrs. Luka's 3rd Grade

    MODEL Use a number line to find 3 X 50. Think: 50 = 5 tens STEP 1 Draw a number line and write the labels for multiples of 10. STEP 2 Draw jumps on the number line using a multiplication to show 3 groups of 5 tens. fact and place value is another way to multiply by a multiple of 10.

  22. Multiplication Facts of 5 Worksheets for Kids

    An engaging worksheet designed to enhance students' understanding of the multiplication facts of 5 through sorting. This downloadable worksheet is designed to practice multiplication facts of 2 and 5. Reveal the secrets of math wizardry by practicing the multiplication facts of 0, 1 and 5.

  23. Finding Multiplication Patterns Using Charts & Tables (Examples

    For example, 5 \ ( \times \) 5 = 25, 5 \ ( \times \) 6 = 30, and 5 \ ( \times \) 7 = 35, where 5 and 7 are odd numbers and 6 is an even number. There is another pattern hidden among the multiples of odd and even numbers. All products of 4 are double the products of 2. All products of 6 are double the products of 3.