Today we were not ready for our math test, so I made a better study guide then the one the kids had. Pro: I explained how to find every answer on the guide!!! Andddd...your kids should get an A on the test if they understand this study guide. Con: they have weekend homework. My apologies, but I just did not feel they were ready today. In the event they lose it, here they are!
Green group:
Green Group SAMS Test Review
#3 Find the missing dimension: Remember: LxW = Area and L + L + W + W = Perimeter
Ex:The area of a book is 18 square inches. Its height is 6 inches. What is its width? _________
So 6 x ? = 18 3! 3 is the missing dimension! Answer: the width 3 inches
Your turn: Find the missing dimensions!
The area of a book is 24 square inches. Its height is 6 inches. What is its width? _____________
The area of a carpet is 63 square feet. Its width is 9 feet. What is the height? _____________
The area of a garden is 32 square feet. Its width is 8 feet. What is the height? _____________
Ex: The perimeter of a book is 18 inches. Its height is 6 inches. What is its width? _________
I know the perimeter is 18 inches, so L + L + W + W = 18. I know the height (length) is 6, so 6 + 6 = 12. The other two sides have to add up to what is left. 18-12=6. So W + W = 6 I will divide 6 between the 2 sides. The width must be 3! Answer: the width 3 inches
Your turn: Find the missing dimensions!
The perimeter of a book is 12 inches. Its height is 2 inches. What is its width? _____________
The perimeter of a book is 38 inches. Its height is 12 inches. What is its width? _____________
#5: Elapsed time
To find elapsed time, you need to figure out what you need: start time or end time. Then to find out how much time has passed between the start and end, you can:
· Find hours first, then minutes. Count up (Ex: 3:30 to 4:45 – 3:30-4:30 is 1 hour, then you need to add 15 minutes to get to 4:45.
· Subtract if there is no borrowing of minutes to hours: the minutes number needs to be bigger. (example: The show ended at 6:47. It started at 6:17. How much time passed? 47-17=30 min.)
· Use a clock to figure it out.
Your turn:
· How much time passed between 2:30 and 4:45?
· How much time passed between 1:15 and 4:30?
· Each show is 30 minutes. The show ended at 10:30. What time did it start?
· Each show is 30 minutes. The show ended at 12:45. What time did it start?
#6 Determine if the scenario wants area or perimeter:
· How much fencing is needed ____________________
· How much carpet is needed ____________________
· How much paint is needed for a wall ____________________
· How much border is needed to go around the top of the wall in a room ____________________
· How much mulch is needed to cover a garden ____________________
· How much tile is needed for a classroom ____________________
Key words: Perimeter – around the outside, around the edge Area: cover something
#7 Formulas for finding Area and Perimeter
How do you find area? Multiply the dimensions – length times width: LxW = Area then Label with SQUARE UNITS!
If it is a square, that means that you multiply the side length times the same number. SxS = area of a square then Label with SQUARE UNITS!
How do you find perimeter? Add up all the sides. L+L+W+W=perimeter . If it is a square, add sides up. Side+side+side+side = perimeter of a square Label with the unit.
Your turn: Find the area and perimeter of the following shapes. Don’t forget labels!
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
#8 Measure these lines. Remember, a whole number can be the nearest ½ or ¼ inch.
To the nearest ½ inch:
__________
____________________
To the nearest ¼ inch: ____________________________________
____________________________
To the nearest cm:
___________________________________
______________________________
To the nearest mm:
________________________
____
Which is bigger? Circle the bigger measurement.
5 meters or 200 cm?
7,000 mm or 1 meter?
9 meters or 9 kilometers?
300 cm or 4 meters?
13 inches or 1 foot
2 feet or 20 inches
3 yards or 3 feet
4 yards or 10 feet
Conversions: (don’t forget labels!!)
How many meters are in 200 cm? ___________
How many meters are in 3 kilometers? _______
How many feet are in 8 yards? _________
How many feet are in 6 yards? _________
Round the following metric measurements:
789 cm = ______ m 6,134 mm = ______ m 314 cm = ________ m 67mm = _____cm
How long is the item? Subtract the end point from the starting point. Don’t forget to draw the lines!
Pink: We crossed out some of their problems to decrease the work!! #1 they had a hard time, so I did my best to very clearly write down how we discussed it!
Pink Group: SAMS Unit Test Prep: HOTS Perimeter and Area Practice
#1 Directions/Example: Story problem for making a lay out of a garden, etc. List all of the dimensions possible for a rectangle with the perimeter (♫perimeter is around…♫) of 24.
This means L + L + W + W = 24
Width Width
Length
Next, to make it easier, let’s divide this in half. So, L + W = 12. Now, we will find all the factors that add up to 12. We could not have a dimension of 0, so start with 1. To check, we add L+L+W+W = 24
1+11 (Check: 1+1+11+11=24)
2+10 (Check: 2+2+10+10=24)
3+9 (Check: 3+3+9+9=24)
4+8 (Check: 4+4+8+8=24)
5+7 (Check: 5+5+7+7=24)
6+6 (Check: 6+6+6+6=24)
Once we have listed all of the numbers that add up to 12 (half the perimeter, remember), we will now turn these into the dimensions of our rectangles.
1X11 = area of 22, perimeter of 24
2X10= area of 20, perimeter of 24
3X9= area of 27, perimeter of 24
4X8= area of 32, perimeter of 24
5X7= area of 35, perimeter of 24
6X6= area of 36, perimeter of 24
So the perimeter will remain the same, but the area of each will change.
Your turn: Find all of the possible layouts for a garden that will have a perimeter of 48 feet.
#2 Directions/Example: Area: List all the dimensions of a shape with an area of 24.
To do this, you find all the factors that multiply to equal 24. We always start with 1, and move up to 10.
· Every time, we start with 1, so 1 X 24
· Does 2 divide in equally to 24? 24 is even, so yes! 2X12
· Does 3 divide in equally to 24? Yes! 3x8
· Does 3 divide in equally to 24? Yes! 4x6
· 5 is the only number left in the middle of 4 and 6, and it does NOT divide equally into 24. So those are all the factor sets of 24!
All of the dimensions of rectangles with an area of 24 are: 1x24, 2x12, 3x8, and 4x6
Here we observe that the area will stay the same, but the shape (dimensions) of the rectangle will change. This relates area and perimeter again: the area may stay the same, but perimeter will change.
Your turn: Find all of the rectangles with an area of 28.
#3 Find the missing dimension: Remember: LxW = Area and L + L + W + W = Perimeter
Ex:The area of a book is 18 square inches. Its height is 6 inches. What is its width? _________
So 6 x ? = 18 3! 3 is the missing dimension! Answer: the width 3 inches
Your turn: Find the missing dimensions!
The area of a book is 56 square inches. Its height is 7 inches. What is its width? _____________
The area of a book is 22 square inches. Its height is 11 inches. What is its width? _____________
The area of a carpet is 63 square feet. Its width is 9 feet. What is the height? _____________
The area of a garden is 32 square feet. Its width is 8 feet. What is the height? _____________
Ex: The perimeter of a book is 18 inches. Its height is 6 inches. What is its width? _________
I know the perimeter is 18 inches, so L + L + W + W = 18. I know the height (length) is 6, so 6 + 6 = 12. The other two sides have to add up to what is left. 18-12=6. So W + W = 6 I will divide 6 between the 2 sides. The width must be 3! Answer: the width 3 inches
Your turn: Find the missing dimensions!
The perimeter of a book is 12 inches. Its height is 2 inches. What is its width? _____________
The perimeter of a book is 38 inches. Its height is 12 inches. What is its width? _____________
The perimeter of a yard is 64 feet. Its length is 14 inches. What is its width? _____________
The perimeter of a room is 48 feet. The width of the room is 8 feet. What is the length? _________
#5: Elapsed time
To find elapsed time, you need to figure out what you need: start time or end time. Then to find out how much time has passed between the start and end, you can:
· Find hours first, then minutes. Count up (Ex: 3:30 to 4:45 – 3:30-4:30 is 1 hour, then you need to add 15 minutes to get to 4:45.
· Subtract if there is no borrowing of minutes to hours: the minutes number needs to be bigger. (example: The show ended at 6:47. It started at 6:17. How much time passed? 47-17=30 min.)
· Use a clock
Your turn:
· How much time passed between 2:30 and 4:45?
· How much time passed between 1:15 and 4:30?
· How much time passed between 11:30 and 1:00?
· How much time passed between 10:00 and 1:45?
· Each show is 30 minutes. The show ended at 10:30. What time did it start?
· Each show is 30 minutes. The show ended at 12:45. What time did it start?
· Each show is 60 minutes. The show ended at 8:35. What time did it start?
#6 Determine if the scenario wants area or perimeter:
· How much fencing is needed ____________________
· How much carpet is needed ____________________
· How much paint is needed for a wall ____________________
· How much border is needed to go around the top of the wall in a room ____________________
· How much mulch is needed to cover a garden ____________________
· How much tile is needed for a classroom ____________________
· How much barbed wire is needed to protect the property of a castle ____________________
Key words: Perimeter – around the outside, around the edge Area: cover something
#7 Formulas for finding Area and Perimeter
How do you find area? Multiply the dimensions – length times width: LxW = Area then Label with SQUARE UNITS!
If it is a square, that means that you multiply the side length times the same number. SxS = area of a square then Label with SQUARE UNITS!
How do you find perimeter? Add up all the sides. L+L+W+W=perimeter . If it is a square, add sides up. Side+side+side+side = perimeter of a square Label with the unit.
Your turn: Find the area and perimeter of the following shapes. Don’t forget labels!
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
Perimeter: ____________
Area:______________
#8 Measure these lines. Remember, a whole number can be the nearest ½ or ¼ inch.
To the nearest ½ inch:
__________
____________________
To the nearest ¼ inch: ____________________________________
____________________________
To the nearest cm:
_______________
___________________________________
To the nearest mm:
________________________________
________________________
How long is the item? Subtract the end point from the starting point. Don’t forget to draw the lines!
Which is bigger? Circle the bigger measurement.
5 meters or 200 cm?
7,000 mm or 1 meter?
13 inches or 1 foot
2 feet or 20 inches
3 yards or 3 feet
4 yards or 10 feet
Conversions: (don’t forget labels!!)
How many meters are in 200 cm? ___________
How many meters are in 3 kilometers? _______
How many feet are in 8 yards? _________
How many feet are in 6 yards? _________
Round the following metric measurements:
789 cm = ______ m 6,134 mm = ______ m 314 cm = ________ m 67mm = _____cm
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