OPERATIONS IN ALGEBRAIC THINKING
What is 7 × 9?
63
Explanation: Use multiplication facts: 7 × 9 = 63.
What is the value of the 6 in 36,481?
6,000
Explanation: It’s in the thousands place.
What is 1/2 + 1/2?
1
Explanation: One half plus one half equals a whole.
How many minutes are in 1 hour?
60
Explanation: Basic time conversion.
How many sides does a hexagon have?
6
Explanation: "Hex" means 6.
What is the value of 3 × (6 + 4)?
30
Explanation: Use parentheses first: 6 + 4 = 10, then 3 × 10 = 30.
Round 78,349 to the nearest thousand.
78,000
Explanation: Look at the hundreds digit (3). It’s under 5, so round down.
What is 2/3 × 3?
2
Explanation: 2/3 × 3 = 6/3 = 2.
What tool do you use to measure an angle?
A protractor
Explanation: A protractor measures degrees in an angle.
What is an object called that never ends and goes in both directions?
A line
Explanation: A line has no endpoints and goes forever in both directions.
A family buys 3 movie tickets for $12 each. How much do they spend?
$36
Explanation: Multiply: 3 × 12 = 36.
Add: 23,458 + 16,729
40,187
Explanation: Line up the digits and add by place value.
Add: 3/8 + 2/8
5/8
Explanation: Denominators are the same, so just add numerators.
Convert 5 feet to inches.
60 inches
Explanation: 5 × 12 = 60 (1 foot = 12 inches).
What’s the difference between a line and a line segment?
A line segment has two endpoints; a line goes on forever.
Explanation: Vocabulary-based.
A student has 48 pencils. She puts them into 6 equal groups. How many in each group?
8
Explanation: 48 ÷ 6 = 8.
Multiply: 305 × 6
1,830
Explanation: Multiply using the distributive property or standard algorithm.
Subtract: 5/6 - 1/2
1/3
Explanation: Find a common denominator (6), convert and subtract: 5/6 - 3/6 = 2/6 = 1/3.
A graph shows the number of books students read: 5 read 3 books, 4 read 5 books. How many books total?
35 books
Explanation: 5 × 3 = 15, 4 × 5 = 20, total = 35.
What kind of angles are in a square?
Right angles (90°)
Explanation: Squares have 4 right angles.
There are 4 fifth-grade classes. Each class has 27 students. If each student gets 3 pencils, how many pencils total are needed?
324 pencils
Explanation: Step 1: 4 × 27 = 108 students. Step 2: 108 × 3 = 324.
Divide: 4,032 ÷ 8
504
Explanation: Use long division or repeated subtraction.
Liam ran 2/5 of a mile, and then ran 3/10 more. How far did he run in total?
7/10 mile
Explanation: Find a common denominator (10): 2/5 = 4/10, so 4/10 + 3/10 = 7/10.
A triangle has angles measuring 35° and 75°. What is the measure of the third angle?
70°
Explanation: The sum of angles in a triangle is 180°. 180 - (35 + 75) = 70°.
A shape has 2 pairs of parallel sides and 4 right angles. What is it?
Rectangle or Square
Explanation: Rectangles fit that description, as do squares.