Answer Keys

Here are the solutions (answer keys) to the packets, homeworks, etc. for each Unit. Please click on the link for the Unit that you wish to study from or review the answers to.

  • Unit 1: Foundations of Geometry
  • Unit 2: Constructions
  • Unit 3: Triangles
  • Unit 4: Quadrilaterals and Polygons
  • Unit 5: Similarity
  • Unit 6: Trigonometry
  • Unit 7: Coordinate Geometry Proofs
  • Unit 8: Transformations
  • Unit 9A- Circle Properties
  • Unit 9B- Circle Applications
  • Unit 10: Solids
  • Regents Review

Geo.4 Right Triangle Trigonometry

In this unit students build an understanding of ratios in right triangles which leads to naming cosine, sine, and tangent as trigonometric ratios. Practicing without naming the ratios allows students to connect similarity, proportional reasoning, and scale factors to right triangles with a congruent acute angle before the calculator takes over some of the computation. Students encounter several contexts to both make sense of and apply right triangle measurement.

Angles and Steepness

  • 1 Angles and Steepness
  • 2 Half a Square
  • 3 Half an Equilateral Triangle
  • 4 Ratios in Right Triangles
  • 5 Working with Ratios in Right Triangles

Defining Trigonometric Ratios

  • 6 Working with Trigonometric Ratios
  • 7 Applying Ratios in Right Triangles
  • 8 Sine and Cosine in the Same Right Triangle
  • 9 Using Trigonometric Ratios to Find Angles
  • 10 Solving Problems with Trigonometry
  • 11 Approximating Pi

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Geometry Worksheets(pdf)

Free worksheets with answer keys.

Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

  • Graphic Organizer on All Formulas
  • Interior Angles of Polygons
  • Exterior Angles of Polygons
  • Similar Polygons
  • Area of Triangle
  • Interior Angles of Triangle

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Surface area of a Cylinder

Congruent Triangles (Geometry Curriculum - Unit 4) | All Things Algebra®

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Description

This Congruent Triangles Unit Bundle contains guided notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:

• Classifying Triangles by Sides and Angles

• Angles of Triangles: Triangle Angle Sum Theorem and Exterior Angle Theorem

• Isosceles and Equilateral Triangles

• Triangle Congruence: SSS and SAS

• Triangle Congruence: ASA and AAS

• Right Triangle Congruence: HL

• Mixed Review of Triangle Congruence

• Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Please download the preview to see a sample outline along with a collage of some of the pages.

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Geometry First Semester Notes Bundle

Geometry Curriculum

Geometry Curriculum (with Activities)

More Geometry Units:

Unit 1 – Geometry Basics

Unit 2 – Logic and Proof

Unit 3 – Parallel and Perpendicular Lines

Unit 5 – Relationships in Triangles

Unit 6 – Similar Triangles

Unit 7 – Right Triangles and Trigonometry Unit 8 – Polygons and Quadrilaterals

Unit 9 – Transformations

Unit 10 – Circles

Unit 11 – Volume and Surface Area Unit 12 – Probability

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

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About This Course

Welcome to the Math Medic Geometry course! Here you will find a ready-to-be-taught lesson for every day of the school year, along with expert tips and questioning techniques to help the lesson be successful. Each lesson is designed to be taught in an Experience First, Formalize Later (EFFL) approach, in which students work in small groups on an engaging activity before the teacher formalizes the learning.

Our Geometry course develops reasoning, justification, and proof skills through an in-depth study of shapes and their properties, rigid transformations and congruence, and the relationship between similarity and right triangle trigonometry. Rich opportunities for problem solving culminate in the unit on surface area and volume. This course was created using the Common Core State Standards as a guide. The standards taught in each Math Medic Geometry lesson can be found here . Additionally, we've chosen to include a unit on Statistics and Probability that can be used as a stand-alone unit at any time during high school course work. The unit overviews and learning targets for the Math Medic Geometry course can be found here .

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All Things Algebra®

geometry unit 4 homework 5 answer key

Geometry Curriculum

$200 - $320

This curriculum includes 940+ pages of instructional materials (warm-ups, guided notes, homework assignments, quizzes, unit tests, review materials, a midterm exam, a final exam, spiral reviews, and many other extras) for Geometry.

All answer keys are included.

geometry unit 4 homework 5 answer key

  • Description
  • Additional Information
  • What Educators Are Saying

This curriculum is divided into the following units:

Download a breakdown of the topics in each unit here.

Also included:

Geometry Warm-Ups Geometry Spiral Reviews Mid-Year Test & Study Guide End of Year Review Packets + Quizzes Final Exam

This bundle does not contain activities.

For supplemental activities, I highly recommend purchasing the  Geometry Activities Bundle to accompany this curriculum, or, the Geometry Curriculum (with Activities) Bundle .

Copyright Terms:

No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

What standards is this curriculum aligned to?

What format are the files in, will i have access to materials if they are updated, are answer keys included, are videos included.

I love this resource and can't wait to purchase the activity bundle to go with it! It is so well organized and my students have really benefited from the notes. I especially appreciate how clear the notes for writing proofs are. This is such a difficult skill and the author really breaks it down so simply. Thank you for this product!

-REBECCA P.

This is the 2rd Bundle I've bought from Gina with All things Algebra, and I cannot express how much these curriculum have changed my life (both personally and professionally). I teach at a school where the subject that I teach changes from semester to semester. Any and all high school math is fair game to assign me. The units are put together in an organized way and I can spend more of my time working to differentiate instruction, work with students, and find engaging supplemental activities to go along with the material (although I use the Activities Bundles that are an option to purchase all the time). instead of learning and creating a new curriculum from scratch every time they give me a new subject. I have more time at home with my family because of this resource. I actually enjoy teaching more than I ever have after that weight was lifted. I am eternally grateful.

-MICHELLE H.

My students love using this resource! This resource has replaced the current curriculum that I use in my classroom. The students love how to notes include practice problems and they love watching the videos when they are absent or need a refresher. HIGHLY RECOMMEND THIS PRODUCT! Geometry teachers, this resource eliminates the need to plan. Buy it now!

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CCSS Math Answers

Eureka Math Grade 4 Module 5 Lesson 5 Answer Key

Engage ny eureka math 4th grade module 5 lesson 5 answer key, eureka math grade 4 module 5 lesson 5 problem set answer key.

Eureka Math Grade 4 Module 5 Lesson 5 Problem Set Answer Key 1

Answer: 1/4 = 2 x 1/8  = 2/8.

Explanation: In the above-given question, given that, 2 rows. 1/4 = 2/8 1/4 = 1/8 + 1/8 = 2/8. 1/4 = 2 x 1/8 = 2/8.

Eureka Math Grade 4 Module 5 Lesson 5 Problem Set Answer Key 2

Answer: 1/5 = 2 x 1/10  = 2/10.

Explanation: In the above-given question, given that, 2 rows. 1/5 = 2/5 1/5 = 1/10 + 1/10 = 2/10. 1/5 = 2 x 1/10 = 2/10.

Eureka Math Grade 4 Module 5 Lesson 5 Problem Set Answer Key 3

Answer: 1/3 = 4 x 1/6 = 4/6.

Explanation: In the above-given question, given that, 2 rows. 1/3 = 2/3 1/3 = 1/6 + 1/6 = 2/6. 1/3 = 4 x 1/6 = 4/6.

Question 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence. a. \(\frac{1}{2}\) = \(\frac{3}{6}\)

Answer: 1/2 = 1/2 + 1/2 + 1/2 . 1/2 = 3/6.

Explanation: In the above-given question, given that, 1/2= 3/6 1/2 = 1/2 + 1/2 = 1/2. 1/2 = 3 x 1/2 = 3/6.

b. \(\frac{1}{2}\) = \(\frac{4}{8}\)

c. \(\frac{1}{2}\) = \(\frac{5}{10}\)

Answer: 1/2 = 1/4 + 1/2 + 1/2 . 1/2 = 3/6.

d. \(\frac{1}{3}\) = \(\frac{2}{6}\) e. \(\frac{1}{3}\) = \(\frac{4}{12}\) f. \(\frac{1}{4}\) = \(\frac{3}{12}\)

Question 3. Explain why \(\frac{1}{12}+\frac{1}{12}+\frac{1}{12}\) is the same as \(\frac{1}{4}\).

Eureka Math Grade 4 Module 5 Lesson 5 Exit Ticket Answer Key

Eureka Math Grade 4 Module 5 Lesson 5 Exit Ticket Answer Key 4

Question 2. Draw an area model to show the decomposition represented by the number sentence below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence. \(\frac{3}{5}\) = \(\frac{6}{10}\)

Eureka Math Grade 4 Module 5 Lesson 5 Homework Answer Key

Eureka Math Grade 4 Module 5 Lesson 5 Homework Answer Key 6

Question 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence. a. \(\frac{1}{3}\) = \(\frac{2}{6}\) b. \(\frac{1}{3}\) = \(\frac{3}{9}\) c. \(\frac{1}{3}\) = \(\frac{4}{12}\) d. \(\frac{1}{3}\) = \(\frac{5}{15}\) e. \(\frac{1}{5}\) = \(\frac{2}{10}\) f. \(\frac{1}{5}\) = \(\frac{3}{15}\)

Question 3. Explain why \(\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}\) is the same as \(\frac{1}{3}\).

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Exercises and Materials for Teaching Math

Gina Wilson All Things Algebra Answer Key | Gina Wilson All things Algebra 2015

In the realm of mathematics education, finding reliable resources that support effective learning can be a challenging task. However, Gina Wilson All Things Algebra is a comprehensive platform that provides educators and students with valuable tools to enhance their mathematical knowledge. One of the key features of this platform is the availability of the answer key, which serves as a vital resource for learners seeking to validate their solutions and progress in their mathematical journey. In this article, we will delve into the benefits of Gina Wilson All Things Algebra and explore how the answer key can be accessed and utilized effectively.

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What is Gina Wilson All Things Algebra?

Gina Wilson All Things Algebra is an educational platform developed by Gina Wilson, an experienced mathematics educator. It offers a wide range of resources, including curriculum materials, lesson plans, activities, and assessments, designed to promote a deeper understanding of algebraic concepts. The platform caters to both teachers and students, providing them with the necessary tools to excel in algebraic reasoning and problem-solving.

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To access the answer key on Gina Wilson All Things Algebra, users need to have an account on the platform. Once logged in, they can navigate to the desired resource or worksheet and locate the answer key section. The answer key provides step-by-step solutions to the exercises, allowing students to verify their work and gain a better understanding of the mathematical concepts involved.

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Frequently Asked Questions (FAQs)

  • The cost varies depending on the subscription plan chosen. It is best to visit the official website for detailed pricing information.
  • Absolutely! The platform caters to both classroom use and self-study, providing learners with the flexibility to learn at their own pace.
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Gina Wilson All Things Algebra is a valuable resource that empowers both educators and learners in the realm of algebra. The answer key, with its comprehensive solutions and additional features, serves as a powerful tool to validate understanding and promote mathematical growth. By utilizing the platform effectively, students can enhance their problem-solving skills, deepen their conceptual knowledge, and unlock the path to mathematical success.

The Birth of All Things Algebra 2015

All Things Algebra 2015 was born out of Gina Wilson's desire to provide teachers with a comprehensive and easy-to-use curriculum that would help them engage their students and promote deep understanding of mathematical concepts. Recognizing the need for high-quality resources, Gina Wilson set out to create a platform that would serve as a one-stop-shop for educators seeking effective teaching materials.

Key Features of All Things Algebra 2015

1. comprehensive curriculum.

All Things Algebra 2015 offers a comprehensive curriculum that covers a wide range of topics in mathematics. From basic algebra to advanced calculus, Gina Wilson's resources cater to various grade levels and learning objectives. The curriculum is carefully designed to ensure a logical progression of concepts, allowing students to build a solid foundation in mathematics.

2. Engaging Activities and Worksheets

One of the standout features of All Things Algebra 2015 is its collection of engaging activities and worksheets. Gina Wilson understands the importance of hands-on learning and provides educators with a wealth of interactive resources that make math come alive in the classroom. These activities and worksheets not only reinforce concepts but also promote critical thinking and problem-solving skills.

3. Differentiated Instruction

Recognizing that students have different learning styles and abilities, Gina Wilson has integrated differentiated instruction into All Things Algebra 2015. Teachers can easily adapt the resources to meet the diverse needs of their students, ensuring that everyone has the opportunity to succeed. Whether it's through tiered assignments or alternative assessments, Gina Wilson's approach to differentiation empowers teachers to create inclusive learning environments.

4. Online Support and Community

All Things Algebra 2015 goes beyond just providing resources. Gina Wilson has fostered a strong online community where educators can connect, collaborate, and seek support. Through forums, discussion boards, and social media groups, teachers can share ideas, ask questions, and gain valuable insights from their peers. This sense of community enhances the overall teaching experience and encourages professional growth.

5. Continuous Updates and Improvements

To stay at the forefront of mathematics education, Gina Wilson continuously updates and improves All Things Algebra 2015. She actively seeks feedback from teachers and students, incorporating their suggestions into future releases. This commitment to ongoing development ensures that the resources remain relevant, aligned with current standards, and reflect the evolving needs of educators.

Success Stories and Testimonials

All Things Algebra 2015 has garnered praise from educators and students worldwide. Teachers have reported increased student engagement, improved test scores, and a deeper understanding of mathematical concepts. Students have expressed appreciation for the clarity of the resources and the opportunity to learn at their own pace. These success stories and testimonials serve as a testament to the impact of Gina Wilson's work.

In conclusion, Gina Wilson and her creation, All Things Algebra 2015, have revolutionized mathematics education. Through a comprehensive curriculum, engaging activities, differentiated instruction, online support, and continuous updates, Gina Wilson has provided teachers with the tools they need to inspire and empower their students. The impact of All Things Algebra 2015 extends beyond the classroom, shaping the way mathematics is taught and learned.

1. Can All Things Algebra 2015 be used in homeschooling?

Absolutely! All Things Algebra 2015 is a versatile resource that can be used in various educational settings, including homeschooling. Its comprehensive curriculum and engaging activities make it an ideal choice for homeschooling parents.

2. Are the resources in All Things Algebra 2015 aligned with curriculum standards?

Yes, all resources in All Things Algebra 2015 are meticulously aligned with curriculum standards. Gina Wilson ensures that the content remains up-to-date and meets the requirements of various educational frameworks.

3. Is there a free trial available for All Things Algebra 2015?

Unfortunately, there is no free trial available for All Things Algebra 2015. However, you can access a wide range of sample resources on the website to get a sense of the quality and effectiveness of the materials.

4. Can I customize the resources in All Things Algebra 2015 to suit my students' needs?

Yes, you can easily customize the resources in All Things Algebra 2015 to meet the specific needs of your students. The differentiated instruction approach allows for flexibility and adaptation.

5. How often are new resources added to All Things Algebra 2015?

Gina Wilson is dedicated to continuous improvement and regularly adds new resources to All Things Algebra 2015. Updates are released periodically to enhance the curriculum and address emerging educational trends.

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Parents, teachers and educators can now present the knowledge using these vividly presented short videos. Simply let the kids watch and learn.

Quizzes are designed around the topics of addition, subtraction, geometry, shapes, position, fractions, multiplication, division, arithmetic, algebra etc.

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  2. Unit 4 Congruent Triangles Homework 2 Angles Of Triangles

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  3. Unit 5 Relationships in Triangles Homework 5 Answer Key

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  19. Gina Wilson All Things Algebra Answer Key

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  20. Unit 5

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