1. Monday, February 24, 2014
Read Pages C16-C25 in your Science books and take Cornell style notes 

2. POTD FYI… Name a pair of complementary angles.(two numbers)
Where do we see angles in our real life?
Angles are used in daily life. 
Engineers and architects use angles for designs, roads, buildings and sporting facilities. 
Athletes use angles to enhance their performance. 
Carpenters use angles to make chairs, tables and sofas. Everything in construction that is built is based on some point on a perpendicular 90 degree angle; walls, door frames, window frames.
Artists use their knowledge of angles to sketch portraits and paintings.
Look around the room, right angles (complementary) and straight angles (supplementary) are the basis for almost every structural design 
Everything we build in the way of road construction, sidewalks, foundations, are at 180 degrees or some sort of variance because of the need.
Name a pair of complementary angles.(two numbers)
Name a pair of supplementary angles. (2 numbers)

3. Area or Perimeter?
That is the question!

4. Created by Danielle Miller, Hawk Ridge Math Facilitator
Area
The number of square units needed to cover the flat surface inside a figure.
Area is always measured in square units!
There are 40 squares covering the inside of the figure.
Created by Danielle Miller, Hawk Ridge Math Facilitator

5. Area = 9m x 2m Area = 18 square meters
To calculate the area of a regular figure use the formula:
Area = Length x Width
Area = 9m x 2m Area = 18 square meters
Created by Danielle Miller, Hawk Ridge Math Facilitator

6. Lets find the area of this surface if each square is equal to one foot.
Count the number of squares. 1 2
Area = 15 square feet 3 4 5 6 7 8 9 10 11 12 13 14 15

7. Let’s do these problems together.
Two neighbors build swimming pools. This is what the pools look like.
Which family has the pool with the bigger swimming area?
Family B
Family A

8. Created by Danielle Miller, Hawk Ridge Math Facilitator
Perimeter
The distance around the outside edge of figure.
Perimeter is always measured in linear units.
The perimeter of this figure is
51 inches.
Created by Danielle Miller, Hawk Ridge Math Facilitator

9. Created by Danielle Miller, Hawk Ridge Math Facilitator
Perimeter
To calculate the perimeter of a regular figure add the lengths of all the sides!
Use this formula with rectangles P=2L + 2W
Perimeter = 9m + 2m + 9m + 2m or
P= (9x2) + (2x2)= 22 m
Perimeter = 22 m
Created by Danielle Miller, Hawk Ridge Math Facilitator

10. 12 16 20 8 4 32 cm ! 24 32 28 Take a walk around the edge!
This is a regular octagon with sides 4 cm 20 8
The perimeter is… 4
32 cm ! 24 32 28

11. 30 15 60 cm ! 45 60 Take a walk around the edge!
This shape has sides of 5 cm each
The perimeter is… 15
60 cm ! 45 60

12. Let’s find the perimeter of this surface if each square is equal to one foot.
Count the number of sides.
Perimeter = 24 feet

13. The perimeter is equal to 12.
Try this one!
Count the number of sides to determine the perimeter of this flat object.
The perimeter is equal to 12.

14. Created by Danielle Miller, Hawk Ridge Math Facilitator
Perimeter
Now you try…
The perimeter of this shape is
____ units.
Created by Danielle Miller, Hawk Ridge Math Facilitator

15. Created by Danielle Miller, Hawk Ridge Math Facilitator
Perimeter
The perimeter of this shape is
____ units.
Created by Danielle Miller, Hawk Ridge Math Facilitator

16. Area and Perimeter Keywords
Make a T-Chart in your notebook
Label one side Area and the other Perimeter
We will now guess whether clue words are area or perimeter
Be sure to explain how you know 

17. Area and Perimeter Keywords
total space
area
tiles
edges
carpet
trim
fence
border

18. Area and Perimeter Keywords
around
perimeter
square units
area
outside
distance around
cover
paint
size of wall
total length
face of an object

19. Created by Danielle Miller, Hawk Ridge Math Facilitator
Area or Perimeter?
tiles for a bathroom floor
lace for the edge of a tablecloth
trim for the bulletin board in your classroom
paint for a wall
grass seed for your front yard
M&M candies for the outside edge of a cake top
carpet for the reading corner
fence for your backyard
mulch to cover the playground
area
perimeter
perimeter
area
area
perimeter
area
perimeter
area
Created by Danielle Miller, Hawk Ridge Math Facilitator

20. A B C D E F Shape Estimated Area Estimated Perimeter Measured Area
Measured Perimeter A B C D E F

21. Garden
Imagine that you are creating a garden for your mother as a surprise. Your total area for
your garden must equal 30 square units and be a rectangle. You may use your color tiles
or graph paper.
Find out how many different ways you can create your garden. List your answers in the
table below. List the length, width, area, and perimeter of each of your rectangles.
Rectangle
Length (feet)
Width (feet)
Area (sq feet)
equation
Perimeter (sq feet) 1 2 3 4
Explain your answers for the chart above.
1. In your own words, explain what area means?
2. In your own words, explain what perimeter means?
3. Do all of your rectangles with 30 feet as their area have the same perimeter? Explain your answer.
Which garden would you use? Why?

22. Multiplying 3 ways Distributive Property Step 1 Break apart one factor
Step 2 multiply the other factor by both parts
Add your partial products

23. Multiplying 3 ways Box Method Break apart the numbers by place values
Draw a rectangle and label the dimensions
Multiply
Then add the partial products

24. Multiplying 3 ways
“Old Fashion Way” 

25. Then we need to multiply 512
x 46
Then we need to multiply 512
by 40.

26. 512
x 46

27. 405
x 57

28. Tuesday, February 25, 2014

29. POTD
1. Name a pair of complementary angles. 2. Name a pair of supplementary angles 3. Name a pair of vertical angles.

30. Homework Review

31. Area and Perimeter Review
Level 3 demonstrates area and perimeter of complex rectangles

32. Finding Missing Sides and Area and Perimeter of Complex Rectangles
Video 1
How to find the missing sides. Finding the area using subtraction method
Video 2
Finding the area using the addition method

33. Area of Irregular Figures
To calculate the area of an irregular figure, follow these
steps:
Divide the irregular figure into regular figures.
Look for missing measurements that you will need to find the area of each new regular figure.
Find the area of every regular figure.
Add the areas of each regular figure together to find the total area.
Created by Danielle Miller, Hawk Ridge Math Facilitator

34. Step 1: Divide the irregular figure into regular figures.
Created by Danielle Miller, Hawk Ridge Math Facilitator

35. This will help you find the
Step 2: Look for missing measurements that you will need to find the area of each new regular figure.
This side was 8m
but because you
split it to make two
regular rectangles,
look carefully at
every side of the
figure to see what
the new measurements
will be!
Don’t forget the rule,
opposite sides are
equal!
This will help you find the
missing measurements!
Created by Danielle Miller, Hawk Ridge Math Facilitator

36. Step 3: Find the area of every regular figure.
Find the area of rectangle “A” A= L x W
A = 4m x 4m
A = 16 square m
Find the area of rectangle “B” A= L x W
A = 10m x 4m
A = 40 square m
Created by Danielle Miller, Hawk Ridge Math Facilitator

37. Step 4: Add the areas of every regular figure.
Area of rectangle “A” A = 16 square m
Area of rectangle “B” A = 40 square m
40 square m
+ 16 square m square m
The total area is 56 square m.
Created by Danielle Miller, Hawk Ridge Math Facilitator

38. Subdivide this shape
This shape can be subdivided into two rectangles.

39. Use what you know about rectangles to help you figure out missing sides.
28 cm.
12 cm.
25 cm.
13 cm.
13 cm.
12 cm.
Since the side of this rectangle is 13; the other side has to be 13 also.
Since we know the entire side of the figure is 25, subtract 13 from 25 to figure out the width of the red rectangle = 12

40. Figuring out the area of complex figures
22 ft.
5 ft.
9 ft.
8ft.
4 ft.
14 ft.
Step Subdivide the figure into simple figures.
Step Figure out the missing measurements.
Step Calculate the area of both rectangles.
Area = l x w
Area = 14 x 9
Area = 126
Area = l x w
Area = 8 x 5
Area = 40
Step Add the areas of the simple figures together.
= 166 ft. 2

41. Let’s Give it a Try

42. Figuring out the area of complex figures
Step Subdivide the figure into simple figures.
Step Figure out the missing measurements.
Step Calculate the area of both rectangles.
Area = l x w
Area = 15 x 11
Area = 165
Area = l x w
Area = 7 x 5
Area = 35
Step Add the areas of the simple figures together.
= 200 in.2

43. Figuring out the area of complex figures
Step Subdivide the figure into simple figures.
5 in.
Step Figure out the missing measurements.
Step Calculate the area of both rectangles.
Area = l x w
Area = 5 x 8
Area = 40
Area = l x w
Area = 19 x 2
Area = 38
Step Add the areas of the simple figures together.
= 78 in.2

44. Figuring out the area of complex figures
Step Subdivide the figure into simple figures.
Step Figure out the missing measurements.
Step Calculate the area of all the rectangles.
Area = l x w
Area = 8 x 18
Area = 144
Area = l x w
Area = 24 x 7
Area = 168
Area = l x w
Area = 8 x 18
Area = 144
Step Add the areas of the simple figures together.
= 456 in.2

45. Guided (glue in notebooks)

46. Independent

47. Wednesday, February 26, 2014

48. POTD
Find the Missing Angles. A= B= C= D=

49. Homework Review

50. Help me design my 1st floor 
Dimensions:
Room 1 _____
Room 2 _____
Room 3 _____
Room 4 _____
Area of entire 1st floor ______
Perimeter of entire 1st floor ______

51. Independent
Design one floor of your school/activity center/etc. You must have at least 4 rooms. Give each floor a name and list the dimensions. Create 3 Questions to go with your design. Remember to leave some dimensions missing!!

52. Thursday, February 27, 2014

53. POTD

54. Homework Review
Let’s get in groups of 4 and share our designs of the first floor of our homes. 
Are the dimensions correct?
Are there missing measurements that I can solve?
Can I answer my group members’ questions?

55. Guided/Independent
A square has a perimeter of 36 inches. When you double the length of each side what is the new perimeter? What is the new area? What if you triple the length of each side?
You want to fence in a garden that has been made of a large rectangle joined with a smaller square. The length of the rectangle and the side length of the square are both 8 yards. If the area of just the rectangle is 96 square yards what could the perimeter of the whole shape be? What could the area be?
An isosceles triangle has a perimeter of 28 inches. One side length is 16 inches. What are the lengths of the other two sides? Describe how you found your answer.
A trapezoid has 1 line of symmetry. One horizontal side is 5 inches. One horizontal side is 12 inches. If the total perimeter is 31 inches what are the side lengths of the two other sides?

56. Guided/Independent
5. I triple the perimeter of a triangle and the new perimeter is 60 feet. In the original triangle, the longest side was at least 3 feet more than the other 2 sides. Find 3 possible combinations of the lengths of the original triangle.
6. A room in your house looks like a capital block letter T. The widest wall is 12 feet long. The opposite wall is 6 feet long. Two walls are 9 feet long. The other 4 walls have a combined length of 18 feet. Find 3 possible side lengths of the other 4 walls.
7. A regular hexagon has a perimeter of 30 yards. What is the side length of one side? If you connect 2 hexagons so that they share exactly one side what is the new perimeter? What about 3 connected hexagons? *Use pattern blocks if needed.
8. A rectangle that is 12 feet by 8 feet is doubled. Draw pictures of what the new rectangle might look like. What is the perimeter and area of the new rectangle?

57. Guided/Independent
9. Four equilateral triangles have a combined perimeter between 58 and 98 inches. What are the possible side lengths of the triangle? 10. A playground is shaped like two combined rectangles. One has an area of 36 square yards. The other has an area of 72 square yards. What are the perimeter and area of the playground? 11. You want to put a garden up against your house. You have 24 yards of fencing for the three sides of the garden that you need to fence in. Which dimensions give you the largest garden? 12. An apartment is made of 2 large rectangular rooms that are the same size. Those rooms are connected by a smaller room. The length of the large room is 22 feet and the perimeter of the large room is 68 feet. The smaller room is a square with an area of 81 feet. What is the area of the entire apartment and the perimeter around the apartment?

58. Friday, February 28, 2014

59. POTD
1)Name a pair of supplementary angles. 2) Name a pair of complementary angles. 3) Name a pair of vertical angles

60. Homework Review
A rectangular field measures 10 ft by 3 ft. What is the area of this field? A ____ or P____
Solve:
A square-shaped room measures 6 ft on one side. What is the perimeter of this room? A ____ or P____
Mary wants new carpeting for her dining room. Her dining room is a 5 yd by 10 yd rectangle. How much carpeting does she need to buy to cover her entire dining room?
A ____ or P____
Isabella is making a display board for the school elections. The display board is a 10 ft by 6 ft rectangle. She needs to add a ribbon border around the entire display board. What is the length of ribbon that she needs? A ____ or P____
Jasmine is making a display board for the school talent show. The display board is a 10 ft by 9 ft rectangle. If ribbon costs $2 per foot, how much will it cost to add a ribbon border around the entire display board? A ___ or P___
Danny has a rectangular rose garden that measures 8 m by 10 m. One bag of fertilizer can cover 16 m2. How many bags will he need to cover the entire garden? A __ or P__

61. Guided/Independent
1. You are putting new carpet in your bedroom. Your bedroom floor measures 11 ft. by 12 ft. How much carpet do you need to purchase? 2. You are painting a wall in your house. The wall is 12 ft. tall and 15 feet long. A. What is the area of the wall you are painting? B. Each can of paint covers 100 sq. ft. How many cans of paint do you need? 3. The area of a rectangle is 32 sq. ft. The length is twice the width. What are the length and width of the rectangle? 4. The area of a square is 36 sq. cm. How long are the sides?

62. Guided/Independent
5. The area of a rectangle is 75 sq. in. The length is 3 times the width. What are the length and width of the rectangle?
6. Your favorite blanket measures 45 inches by 60 inches. What is the area of your favorite blanket?
7. The area of a rectangle is 40 sq. m. The length is 3 more than the width. What are the length and width?
8. The area of a rectangle is 72 sq. in. The length is twice the width. What are the length and width?