Models and Number Lines
Sam delivered 2 large pizzas to his friend John’s house. John ordered a 4-piece pizza, and his friend Salvador ordered an 8-piece pizza. John ate 2/4 of his pizza, and Salvador ate 4/8 of his pizza. “Hey, we ate the same amount!” said John. “No, we didn’t!” exclaimed Salvador.
Draw a model to show how who is correct. Then write an equation to help prove your answer.
John was correct
2/4 = 4/8
With her $85, Laura wants to buy a subscription to a fashion magazine that costs $6 per month. If she buys a year’s subscription, she gets $10 off the price. How much would a year’s subscription cost Laura?
$62
What is 14 + 14 + 9 + 9=, and is it area or perimeter?
46 and Perimeter
Start Time is 12:05pm
Elapsed Time is 1hr 30min
What is the End Time?
1:35pm
Is it greater than, less than, or equal to?
4/6 and 12/12
4/6 less than 12/12
Sydney had a party and ordered 6 pizzas cut into fourths. When it was over, there were 1 and 1/4 pizzas left.
How many pizzas were eaten? Draw a model.
4 and 3/4 pizzas were eaten.
Laura had $100 to spend at the mall. She spent $53 on clothes and bought 2 necklaces for $6 each. She met her friend who paid her back some money she had borrowed. Laura walked out of the mall with $85. How much money did her friend give her?
$38
What does (2 × 12) + (2 × 8) =, and is it Area or Perimeter?
40 and Area
Elapsed Time is 58 minutes.
The End Time is 2:14 p.m.
What is the Start Time?
1:16pm
Is it greater than, less than, or equal to?
11/12 and 10/12
Greater than
Sam told Sydney that cheese pizza was 4 times more popular than pepperoni pizza. On Friday night Peppy’s sold 22 pepperoni pizzas.
How many cheese pizzas did Peppy’s sell? Use a strip diagram, and write an equation.
22x4=88
Laura decided not to buy the magazine subscription and instead decided to save most of her $85. She gave $1 to her brother, and then put in the bank. She put 1/3 in her piggy bank and 1/3 in the safe at home.
How much money did Laura put in the bank?
$24
How big are the sides of a square if P=260ft?
Each side is 65ft long.
Start Time is 11:22am
End Time is 3:32pm
What is the Elapsed Time?
4hr 10min
Is it greater than, less than, or equal to?
1/1 and 9/9
Equal to.
Lines that intersect and form 90-degree angles at the intersection.
What are Perpendicular Lines?
On the first day fishing, Rowdy had great success. He caught 82 fish. Lane caught 5 more fish than Rowdy.
If the boys caught the same amount of fish every day, how many fish would they catch in a week?
The boys would catch 1,183 fish in a week.
If a rectangle is A=96 sq ft and the width is 8ft, what is the length of the rectangle?
12ft
Start Time is 6:00am
End Time is 7:43pm
What is the Elapsed Time?
13hr 43min
Jarred has two cakes that are the same size. The first cake was chocolate, which he cut 12 equal parts. The second cake was marble, which he cut into 6 equal parts. His family eats 5 slices of chocolate cake and 3 slices of marble cake.
Did they eat more chocolate cake or marble cake?
Marble Cake
The space between two rays that is formed from intersecting lines, line segments, or planes.
What is an Angle?
The captain of the boat counted 1,244 fishing lures he brought. He told the brothers, Rowdy and Lane, and both of their parents that he would divide the lures evenly among their family.
How many lures did each person get? Use an area model, and explain your answer.
311 lures
A rectangle has P=30ft and A=56 sq ft. What are the sizes of the length and width?
L=8
W=7
The Welch family is going out to dinner and then to see a play. The play starts at 7:00 p.m. Mrs. Welch wants to get to the theater at least 10 minutes early so they can find good seats. She estimates the following timeline leading up the play:
● 10 minutes to drive to the restaurant
● 20 minutes to order food
● 30 minutes for the kitchen to prepare and serve the food
● 40 minutes to eat and to pay for the meal
● 15 minutes to drive from the restaurant to the theater
What time should they leave?
4:55pm
Jeremy is baking two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan with nuts into 8 equal pieces. He cuts the pan without nuts into 16 equal pieces. His friends eat 2 brownies with nuts and 3 brownies without nuts. Did they eat more of the brownies with nuts or without nuts?
He ate more brownies with nuts.