We got started on the 2nd half of the chapter today by starting work on an inductive reasoning project that deals with polygons. We will be working on this over the next couple of days. Today was focused on determining some patterns among the numbers involving the number of sides a polygon has and the sum of its interior and exterior angles.

Assignment: Inductive Reasoning Project; page 1 only

# Mr. Landers Math Classes @ HHS

descriptions of daily assignments and schedule of events in Mr. Landers' math classes at Hanford High School, Richland, WA

## Thursday, October 19, 2017

### Honors Geometry; 10/19

We wrapped up chapter 3 today by taking a more specific look at inductive reasoning. We went through several examples of number patterns and various described scenarios in which the students needed to decide which kind of reasoning - deductive or inductive - was being used to make decisions. The students then got started on their assignment.

Assignment: section 3-6; page 107-108; CE 1-5; WE 1-17; p. 110; #1-15 all

Assignment: section 3-6; page 107-108; CE 1-5; WE 1-17; p. 110; #1-15 all

## Wednesday, October 18, 2017

### Geometry; 10/18

The students turned in their chapter 3 quiz review sheets to start the period. The rest of the period was spent taking the chapter 3 quiz.

Assignment: none; extra credit puzzle option

Assignment: none; extra credit puzzle option

### Honors Geometry; 10/18

We continued our work with polygons today by taking a look at other types of polygons (not triangles). We used our knowledge gained from the inductive reasoning project to work with both interior and exterior angles of polygons. We went through a few practice examples together before getting started on the assignment.

Assignment: section 3-5; page 104-105; WE 1-17, 21, 22 (skip #7)

Assignment: section 3-5; page 104-105; WE 1-17, 21, 22 (skip #7)

## Tuesday, October 17, 2017

### Geometry; 10/17

We spent time today reviewing for our chapter 3 quiz tomorrow. With partners, the students worked through 8-10 review problems together that are indicative of what they will see tomorrow on the quiz. They also worked on a review sheet towards the end of the period that will help prepare them for the quiz. The answers to the review sheet appear below.

Assignment: Chapter 3 quiz review sheet

1. skip

2. skip

3. AIA

4. corresponding angles

5. SSI angles

6. none

7. angles 1, 13, and 15

8. angles 2, 4, and 6

9. angles 1, 3, 5, 7, 11, 13, 15

10. angles 2, 4, 6, 8, 10, 12, 14, 16

11. angle 11 = 55; angle 15 = 55

12. angle 4 = y; angle 3 = 180 - y

13. x = 70; y = 90

14. x = 15; y = 40

1. GA parallel to EC

2. GE parallel to AD

3. GB parallel to ED

4. none

5. GB parallel to ED

6. GB parallel to ED

7. AD parallel to GE

8. GB parallel to ED

9. GE parallel to AD

10. x = 9; y = 22

11. x = 21; y = 17

12. proof steps

1. 1. given

2. 2. def. of angle bisector

3. angle 1 congruent angle 2 3.

4. 4. transitive / subst.

5. 5. if AIA congruent, then lines parallel

19. x = 4

20. x = 7

21. x = 8

22. x = -7

23. x = 9

24. x = 5

25. x = -6; angle is 90

26. x = 4; angle is 85

27. x = 10; angle is 60

28. x = -9; angle is 80

statements reasons

l parallel to m given

angle 1 cong. angle 2 given

angle 1 cong. angle 4 if lines parallel, Corr. angles congruent

angle 2 cong. angle 4 substitution.

statements reasons

angle 1 cong. angle 2 given

angle 2 cong. angle 4 given

angle 1 cong. angle 4 subst.

line l parallel to line m if corr. angles congruent, then lines parallel

Assignment: Chapter 3 quiz review sheet

**Properties of Parallel Lines**1. skip

2. skip

3. AIA

4. corresponding angles

5. SSI angles

6. none

7. angles 1, 13, and 15

8. angles 2, 4, and 6

9. angles 1, 3, 5, 7, 11, 13, 15

10. angles 2, 4, 6, 8, 10, 12, 14, 16

11. angle 11 = 55; angle 15 = 55

12. angle 4 = y; angle 3 = 180 - y

13. x = 70; y = 90

14. x = 15; y = 40

**Proving Lines Parallel**1. GA parallel to EC

2. GE parallel to AD

3. GB parallel to ED

4. none

5. GB parallel to ED

6. GB parallel to ED

7. AD parallel to GE

8. GB parallel to ED

9. GE parallel to AD

10. x = 9; y = 22

11. x = 21; y = 17

12. proof steps

1. 1. given

2. 2. def. of angle bisector

3. angle 1 congruent angle 2 3.

4. 4. transitive / subst.

5. 5. if AIA congruent, then lines parallel

**Solving for x:**19. x = 4

20. x = 7

21. x = 8

22. x = -7

23. x = 9

24. x = 5

25. x = -6; angle is 90

26. x = 4; angle is 85

27. x = 10; angle is 60

28. x = -9; angle is 80

**Proof #4**statements reasons

l parallel to m given

angle 1 cong. angle 2 given

angle 1 cong. angle 4 if lines parallel, Corr. angles congruent

angle 2 cong. angle 4 substitution.

**Proof #5**statements reasons

angle 1 cong. angle 2 given

angle 2 cong. angle 4 given

angle 1 cong. angle 4 subst.

line l parallel to line m if corr. angles congruent, then lines parallel

### Honors Geometry; 10/17

We spent a little time wrapping up the inductive reasoning project before going on to our lesson for today. Today's topic centered on how to work with triangles with both words and calculations. We went over several vocab words pertaining to the ways in which triangles are classified. We then used the triangle sum theorem (all angles sum to 180) to determine a variety of calculation and drawing problems. The students then got started on their homework.

Assignment: section 3-4; page 97-99; WE 1-20, 26, 28, 30

Assignment: section 3-4; page 97-99; WE 1-20, 26, 28, 30

## Monday, October 16, 2017

### Geometry; 10/16

We continued our work with parallel lines today by taking a look at how to prove lines parallel. We use our three angle pairs to work through a variety of drawings in order to determine if lines were parallel or not. The students then got started on their assignment.

Assignment: Section 3-3; page 86; CE 1-11; page 87; WE 1-19

Assignment: Section 3-3; page 86; CE 1-11; page 87; WE 1-19

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