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DMR #1 1. Write an algebraic expression for the sum of 35 and z.

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Presentation on theme: "DMR #1 1. Write an algebraic expression for the sum of 35 and z."— Presentation transcript:

1 DMR #1 1. Write an algebraic expression for the sum of 35 and z.

2 Unit 2 2.1 Angle Basics

3 Definition An _______ () is formed by two rays with the same endpoint.  Notation: B T Q 1

4 Example 1 Name the angle in four ways: Try! Name the angle in four ways: A G M 2 E S L 1

5 Example 2 Give the vertex and the sides of the angle: Try! Give the vertex & sides of the angle: A G M 2 E S L 1 Vertex _______ Sides _______, ________ Vertex _______ Sides _______, ________

6 Challenge!! Match each angle below with the terms: acute, right, obtuse, and straight.

7 DMR #2 1. Write an algebraic expression for the sum of a number and 7.

8 Homework Answers 1.2. 3. 4. 5. 6. 7. 8.

9 Unit 2 2.2 Measuring Angles

10 Angle Types Acute angle:Right angle: Obtuse angle:Straight angle:

11 Example 1 Name an acute angle and a right angle. Try! Name an obtuse angle and a straight angle. L P O N M

12 Example 2 Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right. Try!!

13 Example 3 Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right. Try!!

14 Example 4 Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right. Try!!

15 Challenge!! Use the manipulatives to show Mrs. Gleason or Mrs. Holton an example of an acute angle, a right angle, an obtuse angle, and a straight angle.

16 DMR #3 1. Write an algebraic expression for the difference of twice a number x and 8

17 Homework Answers 1.47, acute2. 119, obtuse 3. 40, acute4. 180, straight 5. 109, obtuse6. 142, obtuse 7. 22, acute8. 90, right 9. 140, obtuse10. 141, obtuse

18 Unit 2 2.3 Angle Addition Day 1

19 Angle Addition Postulate If point B is in the interior of ےAOC, then m ےAOB + m ےBOC = m ےAOC. If ےAOC is a straight angle, then m ےAOB + m ےBOC = 180. A O C B AOC B

20 Example 1 If m ےRST = 50 and m ےRSW = 125, then what is m ےTSW ? Try!! If m ےBOC = 27 and m ےAOC = 47, then what is m ےAOB ? R S W T

21 Example 2 If m ےRST = 42 and m ےTSW = 56, then what is m ےRSW ? Try!! If m ےBOC = 22 and m ےAOB = 25, then what is m ےAOC ? R S W T

22 Challenge!! If m ےDEG = 145, find m ےGEF. D EF G

23 DMR #4 1. Write the algebraic expression for the quotient of a number x and 12 increased by 1.

24 Homework Answers 1. 362. 172 3. 294. 146 5. 736. 59 7. 208. 115

25 Unit 2 2.3 Angle Addition Day 2

26 Definition

27 Example 1 BD bisects ےABC. If ےABC = 54, then what is the m ےABD? Try!! OY bisects ےXOZ. If ےXOZ = 88, then what is the m ےYOZ?

28 Example 2 BD bisects ےABC. If mےABD = 3x – 5 and m ےDBC = 2x + 7, then solve for x.

29 Try!! OY bisects ےXOZ. If mےXOY = 5x – 8 and m ےYOZ = 3x + 10, then solve for x.

30 Challenge!! CO bisects ےAOB and DO bisects ےCOB. If mےCOD = x and m ےAOB = 120, then solve for x.


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