GEOMETRY

Chapter 1: Foundations for Geometry

Name:______________________________ Teacher:____________________________ Pd: _______

Table of Contents

Lesson 1.1: SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Pgs: 1-5 Lesson 1.2: SWBAT: Use the length and midpoint of a segment to calculate the missing lengths. Pgs: 6-11 Lesson 1.3: SWBAT: Name, classify and calculate the measure of angles. Pgs: 12-16 Full Period Quiz Lessons: 1.1-1.3 Spiral Review: Pgs: 17-19 Lesson 1.4: SWBAT identify adjacent, vertical, complementary, supplementary and calculate the measures of pairs of angles. Pgs: 20-25 Lesson 1.6: SWBAT: Calculate the midpoint between two points Pgs: 26-30 Lesson 1.6: SWBAT: apply the formula for distance in conjunction with the Pythagorean Theorem to find the length of a line segment. Pgs: 31-35 Full Period Quiz Lessons: 1.4 and 1.6 Practice Test: Pgs: 36-41

1

SWBAT: Identify, name, and draw points, lines, segments, rays, and planes.

Chapter 1 - 1

Warm – Up: Write the appropriate terms, label/name, and diagrams in the

chart below.

L, M, and N are coplanar. L, M, and P are noncoplanar.

. P

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Euclidean geometry (that which we'll be studying this year) is derived from these three building blocks. From there, we started to develop our database of geometric terms.

Write the appropriate terms, label/name, and diagrams in the chart below.

Practice

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4

SUMMARY/CLOSURE:

Exit Ticket

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Chapter 1 – 1: Homework - Page 9 in the textbook. #1-21 odd

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Chapter 1 - 2

Warm – Up

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8

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SUMMARY/CLOSURE

Exit Ticket

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Chapter 1-2: Homework – Page 17 in textbook #3, 4, 6, 7, 9, 10, 15, 17, 18

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SWBAT: Name, classify and calculate the measure of angles.

Chapter 1 - 3

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Angle Measures

Example 1: Identify the congruent segments and angles

Practice

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Challenge:

SUMMARY/CLOSURE

Exit Ticket

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Chapter 1-3: Homework – Complete #1 - 18

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Spiral Review: Chapter 1.1 - 1. 3

1. Sketch a diagram to define each of the terms.

2. Sketch a diagram to define each of the terms.

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SWBAT: Identify adjacent, vertical, complementary and supplementary angles.

Find measures of pairs of angles.

Chapter 1 - 4

Warm – Up: Use the diagram to answer questions 1 and 2.

1. Gfgf

2.

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Example #19: Model Problem

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For questions 20 – 22 set up and label a diagram, solve for the variable, and then find the angles

given.

22. AB and CD intersect at E. If 205 xAECm and ,50 xBEDm find, in degrees, .CEBm

Summary/Closure

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Exit Ticket:

Homework: Chapter 1 – 4: Work on #1-24

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25

23.

24.

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SWBAT: Calculate the midpoint between two points.

Chapter 1 - 6

In the accompanying diagram, line a intersects line b.

What is the value of x?

Example 1:

Practice:

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“BOX METHOD”

Endpoint Midpoint Endpoint

“x”

“y”

Example 2:

Practice:

Practice:

Challenge:

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SUMMARY/CLOSURE:

Exit Ticket:

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Homework: Chapter 1 – 6 (Midpoint) Work on #1 – 25(odds)

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SWBAT: Apply the formula for distance in conjunction with the Pythagorean Theorem to

find the length of a line segment

Chapter 1 - 6

Example 1:

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Example 2:

Practice:

Practice:

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Challenge

SUMMARY/CLOSURE:

Exit Ticket

length

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Homework: Chapter 1 – 6 (Distance) Work on #1 – 13

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13.

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Practice Test

Chapter 1 – Foundations in Geometry

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D is the midpoint of EF , ED = 4x - 6, and EF = 7x + 9. Find ED, DF, and EF.

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b. Find the mAED, and mBED

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Answers