Model That Tape
A tape diagram has 4 equal boxes. A bracket over 3 of the boxes is labeled 6. A bracket under all 4 boxes is labeled ?. Name one division equation that matches this.
What is 6 ÷ 3/4 = ?
Will the quotient of 3 ÷ 2/3 be greater than 1 or less than 1?
What is greater than 1?
Solve: 2/3 ÷ 1/4
What is 8/3 (or 2 2/3)?
Andre and Elena want to make tacos. Each serving uses 3/4 of a pound of meat. They have 5 1/4 pounds of meat total. Write the expression used to find the total servings.
What is 5 1/4 ÷ 3/4?
Solve the math first: What is the exact value of 4 ÷ 2/3?
What is 6? (4 • 3/2 = 12/2 = 6)
Using that same diagram (3 boxes = 6, total 4 boxes = ?), name a multiplication equation that matches it.
What is 3/4 • ? = 6
Will the quotient of 4/5 ÷ 3 be greater than 1 or less than 1?
What is less than 1?
Solve: 3/4 ÷ 5
What is 3/20
Solve the taco problem: How many total servings can they make from 5 1/4 pounds?
What is 7 servings? (21/4 • 4/3 = 84/12 = 7)
If a story for 4 ÷ 2/3 is about running miles, what does the number "4" represent?
What is the total distance?
True or False: If a tape diagram shows 5 boxes total, and 2 of them are bracketed as 8, the matching division equation is 8 ÷ 2/5 = ?
What is True?
Will the quotient of 5/6 ÷ 1/3 be greater than 1 or less than 1?
What is greater than 1? (1/3 fits into 5/6 more than once)
Solve: 1 1/3 ÷ 2/9
What is 6? (4/3 • 9/2 = 36/6 = 6)
2/3 of a large container of juice will fill 12 cups. Write the expression to find how many cups 1 full container fills.
What is 12 ÷ 2/3?
If a story for 4 ÷ 2/3 is about sharing pizza, what does the fraction "2/3" represent?
What is the size of each serving or group?
If a diagram has 3 equal parts, and 2 parts equal 12, what is the value of the whole diagram (?)
What is 18? (Each box is 6, so 6 • 3 = 18)
Will the quotient of 1/3 ÷ 5/4 be greater than 1 or less than 1?
What is less than 1?
Solve: 3/5 ÷ 2
What is 3/10?
Solve the juice problem: How many cups will 1 full container fill?
What is 18 cups? (12 • 3/2 = 36/2 = 18)
Give an example of a word problem unit that works well for division items.
What are pounds, miles, hours, cups, or meters?
Describe the tape diagram that represents the equation: 5 ÷ 1/2 = ?
What is a diagram split into 2 equal parts, where 1 part is labeled 5 and the whole thing is labeled "?"
Will the quotient of 7/4 ÷ 5 be greater than 1 or less than 1?
What is less than 1?
Solve: 2 1/4 ÷ 1/2
What is 9/2 (or 4 1/2)?
If 1 full container fills 18 cups, how many cups can be filled by 1 1/2 containers of juice?
What is 27 cups? (18 • 1.5 = 27)
Share a complete story problem that matches 4 ÷ 2/3
Accept any valid story, such as: "A chef has 4 cups of sugar. Each batch of cookies takes 2/3 of a cup. How many batches can he make?"