unit 8 homework 1 geometry

Polygons and Quadrilaterals (Geometry Curriculum - Unit 8) | All Things Algebra®

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Description

This Polygons and Quadrilaterals Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:

• Angles of Polygons

• Parallelograms

• Tests for Parallelograms in the Coordinate Plane:

Using distance and slope formulas to prove parallelograms

• Parallelogram Proofs

• Rectangles

• Rhombi and Squares

• Quadrilaterals in the Coordinate Plane:

Is it a parallelogram, rectangle, rhombus, or square?

• Non-Isosceles and Isosceles Trapezoids

• Midsegment of a Trapezoid

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 Second 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 4 – Congruent Triangles

Unit 5 – Relationships in Triangles

Unit 6 – Similar Triangles

Unit 7 – Right Triangles and Trigonometry

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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Geometry (all content)

Unit 1: lines, unit 2: angles, unit 3: shapes, unit 4: triangles, unit 5: quadrilaterals, unit 6: coordinate plane, unit 7: area and perimeter, unit 8: volume and surface area, unit 9: pythagorean theorem, unit 10: transformations, unit 11: congruence, unit 12: similarity, unit 13: trigonometry, unit 14: circles, unit 15: analytic geometry, unit 16: geometric constructions, unit 17: miscellaneous.

RWM103: Geometry

Unit 8: circles.

In this unit, we will explore circles and arcs, which are slices of the edge of a circle. We use arcs to describe anything that looks like an incomplete circle, such as the feet of a rocking chair or the crust of a slice of pizza. We will learn to classify and measure arcs in this unit.

Completing this unit should take you approximately 3 hours.

Upon successful completion of this unit, the student will be able to:

• identify the various parts of a circle;
• determine arc lengths of a circle; and
• determine the measure of angles created by lines intersecting a circle.

8.1: Language and Notation of a Circle

Before we can begin studying calculations involving circles, we need to understand the definitions and notation we use to describe circles and circular objects.

Watch this video to become familiar with the terms we will use in this unit.

8.2: Tangent Lines

We can draw special lines called tangent lines on circles. A tangent line touches the circle at only one point, and is perpendicular to the radius of the circle drawn to the point where the tangent line touches the circle.

Read this article and watch the videos to learn about the tangent line theorem, which defines tangent lines, and the two tangents theorem, which we use to solve for unknown lengths of line segments. Read examples 1–5 closely to see how to draw tangent lines and how we can use tangent lines to solve for unknown quantities.

Then, complete review questions 1, 2, 4, and 5 and check your answers.

8.3: Arcs of Circles

An arc is a section of a circle.

Watch these videos, which introduce the idea of arcs in circles and give examples of how to determine the angle of a given arc.

Then, complete this assessment and check your answers.

8.4: Inscribed Angles

An inscribed angle occurs inside a circle. The angle's vertex is on the circle and the rays of the angle are chords (lines within the circle) of the circle.

Read this brief article, which gives an overview of what inscribed angles are and how to identify them. Watch the video to see how to use your knowledge of triangles to determine the value of inscribed angles.

8.5: Angles of Chords, Secants, and Tangents

Now, we put together what we have learned to calculate more advanced trigonometric ratios.  First, we need to study the meaning of chords, or line segments that exist within a circle.

Read this article and watch the video. Pay attention to the examples of how to determine the lengths of chords and their angles. It may help to write down the four chord theorems to help you keep track of them as you work through the problems.

Once you feel comfortable with the definition of chords and their theorems, read this article which details several ways we can calculate the angles formed by chords. Since this page has so much information, read slowly and take time to work through each example. It may be helpful to write down the many theorems to make sure you understand them.

Then, complete review questions 1–10 and check your answers.

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Unit 8 Polygons And Quadrilaterals Homework 1

Displaying top 8 worksheets found for - Unit 8 Polygons And Quadrilaterals Homework 1 .

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