unit geometry homework 6

Geo.6 Coordinate Geometry

This unit brings together students’ experience from previous years with their new understanding from this course for an in-depth study of coordinate geometry. Students encounter a new coordinate transformation notation such as \((x,y) \rightarrow (x+3, y+1)\) , which connects transformations to functions. Then they use transformations and the Pythagorean Theorem to build equations of circles, parabolas, parallel lines, and perpendicular lines from definitions. Students apply these ideas to proofs, such as classifying quadrilaterals. Finally, students use weighted averages to partition segments, scale figures, and locate the intersection point of the medians of a triangle.

Transformations in the Plane

• 1 Rigid Transformations in the Plane
• 2 Transformations as Functions
• 3 Types of Transformations

Distances, Circles, and Parabolas

• 4 Distances and Circles
• 5 Squares and Circles
• 6 Completing the Square
• 7 Distances and Parabolas
• 8 Equations and Graphs

Proving Geometric Theorems Algebraically

• 9 Equations of Lines
• 10 Parallel Lines in the Plane
• 11 Perpendicular Lines in the Plane
• 12 It’s All on the Line
• 13 Intersection Points
• 14 Coordinate Proof
• 15 Weighted Averages
• 16 Weighted Averages in a Triangle

Putting it All Together

• 17 Lines in Triangles

• Share on Facebook
• Tweet This Resource
• Pin This Resource

Geometry Unit 6: Similar Figures

Similar figures are the topic of Geometry Unit 6. Each of the four resources in the unit module contains a video, teacher reference, practice packets, solutions, and corrective assignments. In the first lesson, pupils learn the definition of similar figures and their corresponding angles and sides. Using the definition, individuals calculate the lengths of missing sides and practice using the definition to find missing lengths, determine the scale factor between similar figures, and create and solve equations based on lengths of corresponding sides. Scholars then learn three different methods to show two similar triangles: Angle-Angle, Side-Side-Side, and Side-Angle-Side. They practice applying these methods to determine whether two given triangles are similar and then apply the methods to determine missing sides in triangles. Appling perspective to similarity, young mathematicians learn about the Side Splitter Theorem by looking at perspective drawings and using the theorem and its corollary to find missing lengths in figures. They also practice using the theorem and corollary on their own, applying them to coordinate geometry. After a short review of the material from the Similar Figures Unit, pupils work through 18 problems to further practice the skills from the unit. Scholars apply those skills in the application problems at the end of the review.

Common Core

Similar Figures

Similar Figures (.html)

Practice packet (.pdf), practice solutions (.pdf), corrective assignment (.pdf).

Prove Triangles Similar

Prove triangles similar (.html).

Side Splitter Theorem

Side splitter theorem (.html).

Unit 6 Review: Similar Figures

Unit 6 review: similar figures (.html), unit 6 algebra review, unit 6 review packet (.pdf).

Please ensure that your password is at least 8 characters and contains each of the following:

• a special character: @$#!%*?&

Geometry (Math 7 Curriculum - Unit 6) | All Things Algebra®

• Google Apps™

What educators are saying

Also included in.

Description

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

• Naming and Classifying Angles

• Measuring Angles

• Vertical and Adjacent Angles

• Complementary and Supplementary Angles

• Angles with Algebra

• Classifying Triangles (acute, obtuse, right, scalene, isosceles, equilateral)

• Angles in Triangles

• Constructing Triangles (given side lengths, angle measures, or a combination)

• Determine if given measures of a triangle create just one triangle, many triangles, or no triangles.

• Triangle Inequality Theorem

• Properties of Quadrilaterals

• Classifying Quadrilaterals (Trapezoid, Parallelogram, Rhombus, Rectangle, Square)

• Angles in Quadrilaterals

• Congruent Polygons (includes writing congruency statements)

• Translations

• Reflections

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):

Math 7 Curriculum

More Math 7 Units:

Unit 1 – Number Sense

Unit 2 – Expressions

Unit 3 – Equations and Inequalities

Unit 4 – Ratios, Proportions, and Percents

Unit 5 – Functions and Graphing

Unit 7 – Measurement: Area and Volume

Unit 8 – Probability and Statistics

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

Questions & Answers

All things algebra.

• We're hiring
• Help & FAQ
• Privacy policy
• Student privacy
• Terms of service
• Tell us what you think

• Skip to main content

PAYMENT PLANS ARE NOW AVAILABLE! • VISIT THE SHOP TO LEARN MORE!

All Things Algebra®

Math 7 Unit 6: Geometry

This unit includes 54 pages of guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the topics listed in the description below.

• Description
• Additional Information
• What Educators Are Saying

This unit contains the following topics:

• Naming and Classifying Angles • Measuring Angles • Vertical and Adjacent Angles • Complementary and Supplementary Angles • Angles with Algebra • Classifying Triangles (acute, obtuse, right, scalene, isosceles, equilateral) • Angles in Triangles • Constructing Triangles (given side lengths, angle measures, or a combination) • Determine if given measures of a triangle create just one triangle, many triangles, or no triangles. • Triangle Inequality Theorem • Properties of Quadrilaterals • Classifying Quadrilaterals (Trapezoid, Parallelogram, Rhombus, Rectangle, Square) • Angles in Quadrilaterals • Congruent Polygons (includes writing congruency statements) • Translations • Reflections

This unit does not contain activities.

This is the guided notes, homework assignments, quizzes, study guide, and unit test only.  For suggested activities to go with this unit, check out the ATA Activity Alignment Guides .

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

Math 7 Curriculum

License Terms:

This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and 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.  A t ransferable license is not available for this resource.

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 am very happy with this purchase. I love how easy it is to use, the students enjoy the note taking template, I enjoy that the assessments align perfectly with the notes. There are also challenges along the way that my class really enjoyed.

This Geometry unit from All Things Algebra is well structured and extremely well organized. The videos that go with the guided notes are very helpful. I use the materials from this unit to supplement the high school geometry semester curriculum units I purchased from All Things Algebra. Thank you!

Wow, what an amazing time saver! The students really love the layout of the notes and how they match up so nicely with the homework. I will buy the units for the rest of the year.

-STEPHANIE J.