Pardon My Parentheses
Double Trouble, Half the Struggle
Turn Up the Volume!
What’s Left Over?
Mind the Gap
100
Write the expression:
Multiply 8 by 5, then double the product
(8 × 5) × 2 or 2 × (8 × 5)
100
DAILY DOUBLE
True or False: (3 × 6) × 5 = 3 × (6 × 5).
Which property of multiplication does this illustrate?
True
Associative Property of Multiplication
100
What is the volume?
5 x 3 x 2 = 30 u3
or
30 cubed units
100
A box holds 480 baseballs. Each layer has 40 baseballs. How many layers does the box have?
12 layers (480 ÷ 40 = 12)
100
Fill in both blanks to make the set of equations true: ___ × 20 = 10 × 10 = ___
5 × 20 = 10 × 10 = 100
200
Evaluate this expression: (40 × 35) − (1 × 35)
This expression represents the "one less group" strategy: (40 × 35) = 1,400, minus 35 = 1,365.
200
Rewrite 16 × 25 using the double and halve strategy, then state the final product.
8 × 50 = 400 (or 4 × 100 = 400)
200
A crate holds 42 tennis balls on one layer. If the crate has 6 layers, how many tennis balls can the crate hold in total?
Volume = Base Area × Height (42 × 6 = 252).
252 tennis balls
200
Four friends earned $86.00 washing cars on Saturday and split the money equally. How much money does each person get?
$21.50
(86 ÷ 4 = 21 R 2)
R2= 2/4= 1/2 or .50 cents.
200
Fill in the blank to balance the equation without finding the full product:
36 × 25 = ___ × 100
9
Since 25 was multiplied by 4 to make 100, 36 must be divided by 4 to keep the equation balanced.
300
Write a numerical expression to show using the "doubling and halving" strategy to solve 18 × 15.
(18 ÷ 2) × (15 × 2) or 9 × 30
or
18 × 15 = 9 × 30
300
DAILY DOUBLE
Is 48 × 19 = (48 × 20) + (48 × 1) True or False?
Explain how you know without computing the final products on both sides.
False.
19 groups of 48 cannot equal to 20 groups of 48 plus another 1 group of 48. You need to subtract to get the correct amount amount of groups of 48.
300
A prism has a length of 6 units, a width of 3 units, and a height of 4 units.
Write a full equation (expression and solution) showing the base area (B) multiplied by height (h) to find volume.
V = 18 × 4 = 72 cubic units
(Base area B = 6 × 3 = 18)
300
There are 87 people going on a camping trip. If each tent holds 6 people, how many tents are needed so that everyone has a place to sleep?
(87 ÷ 6 = 14 R3; you must round up to 15 tents so the remaining people have a place to sleep).
15 tents
300
Fill in the blanks:
38 × 99 = (___ × 38) − (1 × 38) = ___
100 × 38 − 1 × 38 = 3,762
400
Solve this expression:
4 + 3 × (12 × 5)
(12 × 5)=60
3 × 60= 180
4 + 180= 184
184
400
Fill in the blank using number relationships without doing the full calculation: 140 × 12 = 70 × ___
Since 140 was halved to get 70, the other factor (12) must be doubled to keep the product equal.
24
400
Write a numerical expression to calculate the total surface area of the prism below in correct units.
2 × (4 × 12) + 2 × (4 × 5) + 2 × (12 × 5)=
256 cm2
or 256 square cm
400
A teacher has 75 pencils to divide equally among 8 students. How many pencils does each student get, and how many pencils are left over?
(75 ÷ 8 = 9 R3).
9 pencils each, with 3 pencils left over
400
Fill in the missing number using number relationships without doing solving:
180 × 16 = 8 × ___
360
Since 16 was halved to 8, 180 must be doubled to 360 to preserve equality.
500
Write a numerical expression to solve the statement: "How many layers are there in a rectangular prism with a base of 14 by 10 and a volume of 1,120 u3."
1,120 divide (14 × 10) = 8
500
Write an equation using the distributive property to represent and solve 15 × 32.
(10 × 32) + (5 × 32) = 320 + 160 = 480
or
(15 × 30) + (15 × 2) = 450 + 30 = 480
500
A rectangular box has a total volume of 240 cubic inches. If the base area of the box is 40 square inches, how many layers tall is the box?
Solved using missing factor or division:
240 ÷ 40 = 6.
500
A bakery makes 246 cookies for a set of 12 families. How many cookies does each family get?
(246 ÷ 12 = 20 R6).
R6= 6/12= 1/2
Each family gets 20 1/2 cookies
500
Fill in the blanks:
(40 × 15) + (3 × 15) = ___ × 15 = ___
43 × 15 = 645
Adding 40 groups of 15 and 3 groups of 15 equals 43 groups of 15