Multiplication Strategies
Division & Quotients
Multi-Step Word Problems
Area & Perimeter
Fractions & Data
100
Use the over strategy to solve this problem: 49 × 32
49 × 32 = 1,568
100
364 ÷ 7
364 ÷ 7 = 52
100
Mrs. Carter is getting supplies ready for her class. She buys 4 boxes of pencils. Each box has 18 pencils. During the week, she gives 27 pencils to her students to use for writing.
At the end of the week, she finds 9 pencils are broken and throws them away.
How many pencils does Mrs. Carter have left?
4×18 = 72; 72 − 27 = 45; 45 − 9 = 36 pencils
100
A rectangular garden is 8 feet wide. The area of the garden is 96 square feet.
What is the length of the garden?
96 ÷ 8 = 12 feet
100
Dylan’s plant is 10 1/2 inches tall. It grows 2 1/2 inches.
What is the new height?
13 inches
200
Use an area model to solve: 18 × 27
18 × 27 = 486
200
1,248 ÷ 6
1,248 ÷ 6 = 208
200
A food drive is collecting canned goods for a local shelter. One group collected 14 boxes with 24 cans in each box. Another group collected 9 boxes with 18 cans in each box.
After counting all the cans, volunteers noticed that 36 cans were damaged and could not be used.
How many usable cans does the food drive have in total?
(14×24 = 336) + (9×18 = 162) = 498; 498 − 36 = 462 cans
200
A rectangle has a length of 14 meters and a width of 9 meters.
- Find the area
- Then find the perimeter
Area = 126 m²; Perimeter = 46 m
200
A ribbon is 15 3/4 inches long. You cut off 6 1/2 inches.
- How much ribbon is left?
- Show how you solved it
9 1/4 inches
300
Find the error:
(30 × 60) + (4 × 2) = 34 × 62
Missing cross products (30×2 and 4×60)
300
A number divided by 8 = 124. What is the number?
992
300
A school is collecting water bottles for an event. So far, they have collected 18 cases with 24 bottles in each case and 12 cases with 15 bottles in each case.
Their goal is to collect 1,200 bottles.
- How many bottles have they collected so far?
- How many more bottles do they still need?
- If they pack the remaining bottles into cases of 24, how many full cases will that make?
(18×24 = 432) + (12×15 = 180) = 612;
1,200 − 612 = 588;
588 ÷ 24 = 24 full cases + 12 leftover
300
The perimeter of a rectangle is 84 centimeters. The length is 26 centimeters.
- What is the width?
- Then find the area
Compare: 65/100 ___ 6/10. Show how you know
2L + 2W = 84 → 52 + 2W = 84 → W = 16;
Area = 26 × 16 = 416 cm²
300
A line plot shows plant heights:
12, 12 1/2, 13, 13, 13 1/2, 14
- What is the difference between the shortest and tallest plant?
- Which height appears most often?
Label a number line with 0.6 and 0.23
14 − 12 = 2 inches; 13 appears most
400
Use a ratio table to solve: 23 × 47
23 × 47 = 1,081
400
976 ÷ 8 — explain what each step means in an area/partial quotients model
Breaking 976 into friendly chunks
400
A school is ordering t-shirts for a field trip. Each shirt costs $16. The school has $500 to spend.
They also need to pay a one-time shipping fee of $28.
- How much money is left after paying for shipping?
- How many shirts can they buy with the remaining money?
- How much money will be left over after buying the shirts?
500 − 28 = 472;
472 ÷ 16 = 29 shirts;
29×16 = 464;
472 − 464 = $8 left
400
Two rectangles have the same area.
- Rectangle A is 12 × 18
- Rectangle B has a width of 9
What is the length of Rectangle B?
Then compare their perimeters—which is larger?
Area A = 216 → 216 ÷ 9 = 24;
Perimeter A = 60; Perimeter B = 66 → B is larger
400
A plant grows 2 1/2 inches each month.
- How much will it grow in 4 months?
- If it started at 11 inches, what will its final height be?
2 1/2 × 4 = 10;
11 + 10 = 21 inches
500
Compare:
25 × 68 vs. 50 × 34
Which is greater or are they equal? Explain.
Equal
500
A remainder is 5 when dividing by 9. What is a possible dividend?
Any number like 50, 59, 68, etc
500
A community garden is being organized into sections. There are 27 rows with 24 plants in each row and 16 rows with 18 plants in each row.
The gardeners want to reorganize all the plants into equal groups of 25 plants to make distribution easier.
- How many plants are there in total?
- How many full groups of 25 can they make?
- How many plants will be left over?
- The leftover plants will be replanted into rows of 5 plants each. How many rows will that make?
(27×24 = 648) + (16×18 = 288) = 936;
936 ÷ 25 = 37 groups, remainder 11;
11 ÷ 5 = 2 rows (1 leftover plant)
500
A rectangular playground has a perimeter of 120 meters. One side is 35 meters.
- Find the missing side
- Then find the area
- Explain why you divided by 2 at one step
2L + 2W = 120 → 70 + 2W = 120 → W = 25;
Area = 35 × 25 = 875 m²;
Divide by 2 because perimeter counts each side twice
500
A line plot shows the following measurements (in inches):
12, 12 1/2, 12 1/2, 13, 13 1/2, 13 1/2, 13 1/2, 14
- What is the difference between the shortest and tallest values?
- How many data points are greater than 13 inches?
- If 2 more measurements of 12 inches are added, how does the data change?
Range = 2 inches;
Greater than 13 → 4 values;
More data at 12 makes distribution shift lower, 12 becomes more common