1. Day 51: November 16th
Objective: Create regular polygons with a hinged mirror, and use reflection and congruence to learn more about the central angle of these shapes. Also, learn more about the diagonals of rhombi. THEN Introduce proof, and learn more properties of parallelograms and kites.
HW Check/Correct in RED AND…
Do PAGE 3 in Congruence Packet INDEPENDENTLY – hand-in!
Take Notes in LL on Math Notes – Page 346
Define/Take Notes on “Reflexive Property” HINT: Use glossary!
Problems 7-36 to 7-38
Two Proof Examples to lead into the next section
Homework: Problems 7-6 to 7-10 AND 7-14 to 7-18

2. Day 52: November 17th
Objective: Introduce proof, and learn more properties of parallelograms and kites.
HW Check/Correct in RED AND…
Do PAGE 4 in Congruence Packet INDEPENDENTLY – hand-in!
LL Notes: Key Observations from yesterday’s mirror activity
Lesson (Properties & Proofs about parallelograms and kites)
Homework: Problems 7-26 to 7-35 [Double set – leave time!]

3. Day 53: November 20th
Objective: Introduce proof, and learn more properties of rhombi and squares.
HW Check/Correct in RED AND…
Complete flowchart proofs for two statements on the board
Properties & Proofs about rhombi and squares
Homework: Problems 7-39 to 7-43 AND 7-49 to 7-53 (Skip 51)

4. Day 54: November 21st
Objective: Introduce proof, and learn more properties of rectangles and trapezoids.
HW Check/Correct in RED AND…
Complete flowchart proofs for two statements on the board
Properties & Proofs about rectangles and trapezoids
Homework: Problems 7-58 to 7-62 AND 7-66 to 7-70 AND
Properties of Quadrilaterals WS

5. Day 56: November 27th
Objective: Introduce the format of a two-column proof. THEN Continue to develop proof-writing skills as new properties of triangles and quadrilaterals are proven.
HW Check/Correct in RED AND…
Mark each diagram from the board appropriately, given the directions
Problems 7-78 to 7-79
Problem 7-88
Toolkit Addition: Triangle Midsegment Theorem
Look at common theme in Problems 7-29, 60, 69
Introduce Section 7.3 (Problem 7-98)
Homework: Problems 7-72 to 7-76 AND 7-83 to 7-87
Chapter 6-7 Team Test Thursday
Chapter 6-7 Individual Test Next Mon or Tues

6. Theorem Toolkit

7. Day 57: November 28th
Objective: Investigate quadrilaterals for special properties, such as parallel sides or a right angle. Also, review many algebraic tools and apply these skills to analyze shapes on a coordinate grid. THEN Develop methods for finding the midpoint of a segment on a coordinate grid as the study of coordinate geometry is continued.
HW Check/Correct in RED AND…
LAST proof in the “Proof Skeletons” packet you’re getting right now
Problems 7-99 to 7-101
Problems to 7-111
Homework: Problems 7-94 to 7-96 AND to 7-106
Chapter 6-7 Team Test Thursday
Chapter 6-7 Individual Test Next Monday

8. Day 58: November 29th Objective: Review concepts from Chapters 6-7.
HW Check/Correct in RED
Problems to 7-110
Proof Practice WS #7-10
Chapter 7 Review Worksheet
Homework: Problems to 7-116
Chapter 6-7 Individual Test Monday

9. Day 59: November 30th
Objective: Assess Chapters 6-7 in a team setting.
HW Check/Correct in RED
Review yesterday’s work
Chapter 6-7 Team Test
Homework: Problems to 7-123
Chapter 6-7 Individual Test Monday

10. Day 60: December 1st Objective: Assess Chapters 6-7 in a team setting.
HW Check/Correct in RED
Review Chapter 6-7 Team Test
Go over the Chapter 7 Review Sheet
Introduce Chapter 8
Problems 8-12 to 8-15
Homework: Problems to AND STUDY!!!
Chapter 6-7 Individual Test Monday

11. Day 61: December 4th
Objective: Assess Chapters 1-7 in an individual setting. THEN Learn how to find the sum of the interior angles of a polygon and apply this skill to solve problems.
Silence your cell phone and put it in your assigned pocket in the back of the room
Get a ruler, pencil/eraser, and calculator out
First: Take the test
Second: Check your work
Third: Hand the test & formula sheet to Mrs. Poppiti when finished
Fourth: Check last night’s homework
Homework: Finish Problems 8-13 to 8-15 & DO 8-6 to 8-11

12. Day 62: December 5th
Objective: Learn how to determine the measure of an interior and exterior angle of a regular polygon. THEN Consolidate our understanding of finding the number of sides and angles of a regular polygon.
HW Check/Correct in RED
Review Problems 8-13 to 8-15
Problems 8-22 to 8-26
Problems 8-33 to 8-35
Homework: Problems 8-16 to 8-21 AND 8-27 to 8-32

13. Polygon Interior Angle Sum
180°
180°
180°
180°
180°
180°
# of Sides 3 4 5 6 7 8 9 10 12
Interior Angle Sum
180°
360°
540°

14. Polygon Interior Angle Sum
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
# of Sides 3 4 5 6 7 8 9 10 12
Interior Angle Sum
180°
360°
540°
720°
900°
1080°

15. Polygon Interior Angle Sum
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
180°
# of Sides 3 4 5 6 7 8 9 10 12
Interior Angle Sum
180°
360°
540°
720°
900°
1080°
1260°
1440°
1800°

16. Interior Angle Sum of n-gons
If a polygon has n sides, the interior angle sum is:
180°( n - 2 )

17. Interior Angle of an n-gon
If a regular polygon has n sides, the measure of one interior angle is:
180°( n - 2 ) n

18. Exterior Angle Sum of an n-gon
The sum of the exterior angles of any polygon is 360º.
If a regular polygon has n sides, the measure of one exterior angle is:
360° ÷ n

19. Day 63: December 6th
Objective: Develop an algorithm to find the area of any regular polygon. THEN Learn about the ratio of the areas of similar figures.
HW Check/Correct in RED AND Finish Problem 8-35
Problems 8-43 to 8-48
Start Problems 8-61 to 8-64?
Homework: Problems 8-37 to 8-42 AND 8-49 to 8-54

20. Day 64: December 7th
Objective: Learn about the ratio of the areas of similar figures. THEN Continue to develop an understanding for how the area and perimeter of a shape change as the shape is enlarged or reduced proportionally.
HW Check/Correct in RED
Problems 8-61 to 8-64
Problems 8-71 to 8-75
Homework: Problems 8-55 to 8-60 AND 8-65 to 8-70
Chapter 8 Team Test Monday (?)
Chapter 8 Individual Test Wed or Thurs (?)

21. Ratio of the areas of similar figures is…
Ratios of Similarity
Linear Scale Factor: 1
Linear Scale Factor: 2
Linear Scale Factor: 3
Linear Scale Factor: 4
Ratio of Area to 1st : 1
Ratio of Area to 1st : 4
Ratio of Area to 1st : 9
Ratio of the areas of similar figures is the square of the linear scale factor
Ratio of the areas of similar figures is…
Ratio of Area to 1st : 16

22. Day 65: December 8th
Objective: Discover the area and circumference formulas for a circle. THEN Use the ratios of areas of similar figures to develop a method of finding the area and circumference of a circle with any sized radius. Also, develop methods to find the area of sectors and the length of arcs.
HW Check/Correct in RED AND Complete problems left on your table
Finish Problems 8-73, 8-74
Problems 8-82 to 8-83
Problems 8-91 to 8-93
LL Entry: Area and Circumference
Extra Practice WS: Area and Circumference
Homework: Problems 8-76 to 8-81 AND 8-85 to 8-90
Chapter 8 Team Test Wednesday (?)
Chapter 8 Individual Test Thurs or Fri (?)

23. Polygons with Infinite Sides
# of sides 3 4 5 6 8 9
≈Area
1.30
2.00
≈Perimeter
5.20
5.66
# of sides 3 4 5 6 8 9
≈Area
≈Perimeter
# of sides 10 15 30 60 90
180
≈Area
≈Perimeter
# of sides 10 15 30 60 90
180
≈Area
3.05
3.12
3.14
≈Perimeter
6.24
6.27
6.28 23

24. Circumference (Perimeter) of Circle
Area/Circumference: Problem 8-91
Radius Length
Area of Circle
Circumference (Perimeter) of Circle 1
π un2 3 4 5 7 10 r
2π units
9π un2
6π units
16π un2
8π units
25π un2
10π units
49π un2
14π units
100π un2
20π units
πr2 un2
2πr units 24

25. Circumference of a Circle (Perimeter)
Circle Formulas
Diameter of a Circle
Circumference of a Circle (Perimeter)
Area of a Circle
Circle X or X d r C X

26. Day 66: December 11th
Objective: Use the ratios of areas of similar figures to develop a method of finding the area and circumference of a circle with any sized radius. Also, develop methods to find the area of sectors and the length of arcs. THEN Use problem-solving strategies to find areas of circular and polygonal regions in context.
HW Check/Correct in RED AND Do Area/Circ. WS – Show All Work!
Problem 8-94
LL Entry: Arc Length and Sector Area
Extra Practice WS: Arc Length and Sector Area
Problems to if time
Homework: Problems 8-96 to AND to 8-111
Chapter 8 Team Test Tomorrow
Chapter 8 Individual Test Thurs or Fri (?)

27. Arc Length
A measure of a portion of the circumference of a circle. OR

28. Area of a Sector
The area of the region bounded by two radii of the circle and their intercepted arc. or

29. Example 1 C
3 cm
90° A B
Circle C

30. Example 2
In a circle, an arc whose angle is 10° has a length of 25π cm. Find the radius of the circle.

31. Example 3
Find the area of the shaded region.
120°
5 cm