GEOMETRY - whiteplainspublicschools.org
Transcript of GEOMETRY - whiteplainspublicschools.org
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
2
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
3
4
SUMMARY/CLOSURE:
Exit Ticket
5
Chapter 1 – 1: Homework - Page 9 in the textbook. #1-21 odd
6
Chapter 1 - 2
Warm – Up
7
8
9
10
SUMMARY/CLOSURE
Exit Ticket
11
Chapter 1-2: Homework – Page 17 in textbook #3, 4, 6, 7, 9, 10, 15, 17, 18
12
SWBAT: Name, classify and calculate the measure of angles.
Chapter 1 - 3
13
Angle Measures
Example 1: Identify the congruent segments and angles
Practice
14
15
Challenge:
SUMMARY/CLOSURE
Exit Ticket
16
Chapter 1-3: Homework – Complete #1 - 18
17
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.
18
19
20
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.
21
Example #19: Model Problem
22
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
23
Exit Ticket:
Homework: Chapter 1 – 4: Work on #1-24
24
25
23.
24.
26
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:
27
“BOX METHOD”
Endpoint Midpoint Endpoint
“x”
“y”
Example 2:
Practice:
Practice:
Challenge:
28
SUMMARY/CLOSURE:
Exit Ticket:
29
Homework: Chapter 1 – 6 (Midpoint) Work on #1 – 25(odds)
30
31
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:
32
Example 2:
Practice:
Practice:
33
Challenge
SUMMARY/CLOSURE:
Exit Ticket
length
34
Homework: Chapter 1 – 6 (Distance) Work on #1 – 13
35
13.
36
Practice Test
Chapter 1 – Foundations in Geometry
37
D is the midpoint of EF , ED = 4x - 6, and EF = 7x + 9. Find ED, DF, and EF.
38
39
b. Find the mAED, and mBED
40
41
Answers