Multi Step Word Problems
Modeling with Diagrams
Explaining Mathematical Thinking
Applying Previously Learned Skills
Fast Facts
100

Sarah has 12 apples. She buys 8 more and gives away 5. How many apples does she have now?

15 apples left

100

Write an equation for: “7 more than a number is 15.”

x + 7 = 15

100

Explain how you know 8 × 5 = 40

repeated addition or known facts (5+5+5+5+5+5+5+5)

100

Use addition to solve: 4 × 6

6+6+6+6 = 24

100

5x5

25

200

A class has 24 students. They are split into 3 equal groups. Then 2 students join each group. How many students are in each group now?

10 students in each group

200

Draw or describe a diagram to solve: 3 groups of 5

3 equal groups with 5 in each (array or repeated addition: 5+5+5)


200

Why is 36 ÷ 6 = 6

because 6 × 6 = 36

200

Use multiplication to solve: 8 + 8 + 8 + 8

4 × 8 = 32


200

10x5

50

300

A store sold 45 pencils in the morning and 38 in the afternoon. They packed them into boxes of 10. How many full boxes can they make?

8 boxes

300

What equation matches: “A number divided by 4 equals 6”?

x ÷ 4 = 6

300

Explain why 45 + 27 can be solved by breaking apart numbers

(40+20) + (5+7)

300

Use place value to solve: 34 + 28

62

300

20x6

120

400

Liam read 18 pages on Monday and twice as many on Tuesday. How many total pages did he read?

54 total pages

400

How could you model 24 ÷ 6 using a diagram?

24 objects split into 6 equal groups (4 in each)

400

How do you know your answer is correct after solving a problem?

check using inverse operation

400

72 ÷ 8 using a fact you know

9 (because 8 × 9 = 72)

400

12x8

96

500

A farmer has 6 fields. Each field has 24 plants. He removes 30 plants. How many plants are left?

114 plants

500

Write an equation for: “Twice a number minus 3 equals 11.”

 2x - 3 = 11

500

Explain why multiplication and division are related

they are inverse operations

500

Use estimation to check: 49 + 32

about 80 (actual 81)

500

100x2

200