unit plane geometry & similarity homework 3

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• Review of equations
• Simplifying square roots
• Adding and subtracting square roots
• Multiplying square roots
• Dividing square roots
• Line segments and their measures inches
• Line segments and their measures cm
• Segment Addition Postulate
• Angles and their measures
• Classifying angles
• Naming angles
• The Angle Addition Postulate
• Angle pair relationships
• Understanding geometric diagrams and notation
• Parallel lines and transversals
• Proving lines parallel
• Points in the coordinate plane
• The Midpoint Formula
• The Distance Formula
• Parallel lines in the coordinate plane
• Classifying triangles
• Triangle angle sum
• The Exterior Angle Theorem
• Triangles and congruence
• SSS and SAS congruence
• ASA and AAS congruence
• SSS, SAS, ASA, and AAS congruences combined
• Right triangle congruence
• Isosceles and equilateral triangles
• Midsegment of a triangle
• Angle bisectors
• The Triangle Inequality Theorem
• Inequalities in one triangle
• Classifying quadrilaterals
• Angles in quadrilaterals
• Properties of parallelograms
• Properties of trapezoids
• Properties of rhombuses
• Properties of kites
• Areas of triangles and quadrilaterals
• Introduction to polygons
• Polygons and angles
• Areas of regular polygons
• Solving proportions
• Similar polygons
• Using similar polygons
• Similar triangles
• Similar right triangles
• Proportional parts in triangles and parallel lines
• The Pythagorean Theorem and its Converse
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems
• Trig. ratios
• Inverse trig. ratios
• Solving right triangles
• Multi-step trig. problems
• Rhombuses and kites with right triangles
• Trigonometry and area
• Identifying solid figures
• Volume of prisms and cylinders
• Surface area of prisms and cylinders
• Volume of pyramids and cones
• Surface area of pyramids and cones
• More on nets of solids
• Similar solids
• Arcs and central angles
• Arcs and chords
• Circumference and area
• Inscribed angles
• Tangents to circles
• Secant angles
• Secant-tangent and tangent-tangent angles
• Segment measures
• Equations of circles
• Translations
• Reflections
• All transformations combined
• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutualy exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations
• Line segments
• Perpendicular segments
• Medians of triangles
• Altitudes of triangles

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Plane Geometry & Similarity Unit 7th Grade TEKS

A 12-day Plane Geometry TEKS-Aligned complete unit including writing and solving one-variable two-step equations and inequalities.

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Plane Geometry & Similarity Unit 7th Grade TEKS – A 12 day Plane Geometry TEKS-Aligned complete unit including: writing and solving one-variable two-step equations and inequalities.

Students will practice with both skill-based problems, real-world application questions, and error analysis to support higher level thinking skills.  You can reach your students and teach the standards without all of the prep and stress of creating materials!

Standards:   TEKS: 7.5A, 7.5B, 7.5C, 7.8C, 7.9B, 7.9C, 7.11C;  Looking for CCSS-Aligned Resources?  Grab the Plane Geometry and Similarity CCSS-Aligned Unit.  Please don’t purchase both as there is overlapping content.

Learning Focus:

• solve mathematical and real-world problems involving similar shapes and scale drawings
• find circumference and area of circles
• determine the area of composite figures in mathematical and real-world situations

What is included in the Plane Geometry & Similarity Unit 7th Grade TEKS?

1. Unit Overviews

• Streamline planning with unit overviews that include essential questions, big ideas, vertical alignment, vocabulary, and common misconceptions.
• A pacing guide and tips for teaching each topic are included to help you be more efficient in your planning.

2. Student Handouts

• Student-friendly guided notes are scaffolded to support student learning.
• Available as a PDF and the student handouts/homework/study guides have been converted to Google Slides™ for your convenience.

3. Independent Practice

• Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice.

4. Assessments

• 1-2 quizzes, a unit study guide, and a unit test allow you to easily assess and meet the needs of your students.
• The Unit Test is available as an editable PPT, so that you can modify and adjust questions as needed.

5. Answer Keys

• All answer keys are included.

***Please download a preview to see sample pages and more information.***

How to use this resource:

• Use as a whole group, guided notes setting
• Use in a small group, math workshop setting
• Chunk each student handout to incorporate whole group instruction, small group practice, and independent practice.
• Incorporate our Plane Geometry and Similarity Activity Bundle  for hands-on activities as additional and engaging practice opportunities.

Time to Complete:

• Each student handout is designed for a single class period. However, feel free to review the problems and select specific ones to meet your student needs. There are multiple problems to practice the same concepts, so you can adjust as needed.

Is this resource editable?

• The unit test is editable with Microsoft PPT. The remainder of the file is a PDF and not editable.

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• Grade Level Curriculum
• Supplemental Digital Components
• Complete and Comprehensive Student Video Library 

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This file is a license for one teacher and their students. Please purchase the appropriate number of licenses if you plan to use this resource with your team. Thank you!

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We strive to provide quality products to help teachers and students alike, so contact us with any questions.

Maneuvering the Middle® Terms of Use

Products by Maneuvering the Middle, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. Resources may only be posted online if they are behind a password-protected site.

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This resource is often paired with:

Digital Math Activity Bundle 7th Grade

Plane Geometry and Similarity Activity Bundle 7th Grade

Plane Geometry and Similarity Unit 7th Grade CCSS

• Mathematics
• High School

Angle relationships and triangles unit: plane geometry & similarity homework 1

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The angle measures are given as follows:

1. A = 76º, B = 63º, C = 41º.

2. D = 51º, E = 93º, F = 36º.

3. G = 28º, H = 124º, I = 28º.

4. J = 41º, K = 85º, L = 54º.

How to obtain the angle measures?

The angle measures are obtained considering that the sum of the measures of the internal angles of a triangle is of 180º.

Then, for each triangle, the following procedure is followed:

• Add the three angles, equals to 180º, obtain x.
• Obtain the 3 angle measures with the values of x.

For item 1, the value of x is obtained as follows:

63 + 2x + 8 + x + 7 = 180

Then the angle measures are given as follows:

• A = 2(34) + 8 = 76º.
• C = 34 + 7 = 41º.

For item 2, the value of x is of:

x + 20 + 3x + 36 = 180

Item 3 is an isosceles triangle, hence:

x + 2(28) = 180

For item 4 , we have that:

5x - 5 + 41 + 3x = 180

More can be learned about angle measures at brainly.com/question/25716982

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