Base Ten
Estimate Products
Partial Products / Area Model
Standard Algorithm
Problem Solving
100

3 x 10

30

100

Use rounding to estimate

6 × 125

about 600

100

Draw a model to find 224 × 4.

Show your model

224 x 4 = 896

100

22 x 9

198

100

Rudy’s Pizza makes 317 pizzas and 54 subs every day. How many items are made in 3 days?

54 + 314 = 371

371 x 3 = 479 items

200

8 x 60

480

200

Use rounding to estimate the product

4 × 2,610

about 12,000

200

What are the partial products when finding 2,361 × 4?

4x1 = 4

4 x 60 = 240

4x 300 = 1200

4 x 2,000 = 8,000

4+240+1200+8,000 = 9,444

200

3 x 185

555

200

Wyatt said he used partial products to write 7 × 870 = 5,600 + 49. Explain Wyatt’s error and use math to justify your explanation.

He did not use place value correctly.

he should have multiplied 7 x 7 tens = 490 not 49

300

5 × 8,000

40,000

300

Ellie says the product of 211 and 6 is 1,866. Is this calculation reasonable? Explain.

No, 6 x 211= about 6 x 200 = 1,200. That is not close to 1,866

300

720 x 6 =  

4,320

300

2,189 × 7

15,323

300

Mrs. Wallingford sells trading cards in boxes of 30 and in boxes of 60. If she sells 5 boxes of 60 and 6 boxes of 30, how many trading cards did Mrs. Wallingford sell?

480 boxes

400

Bob said 4 × 500 = 200. Explain his error using place value.

No, 4 x 5 = 20 then place 2 zeros

2,000

400

A new two-seater car weighs 1,785 pounds. About how much would 8 of the two-seater cars weigh? Choose the best estimate.

about 16,000 pounds

400

4 x 1,865

7,460

400

2,239 x 7 = 

15,673

400

Rudy’s Pizza makes 317 pizzas and 54 subs every day. How many items are made in 3 days?

54 + 314 = 371

371 x 3 = 479 items

500

The Ganobi River is about 7 times the length of the Beecher River. If the Beecher River is about 600 miles long, about many miles long is the Ganobi River? Write and solve an equation.

600 x 7 = m

m= 4,200 miles

500

Gul can run 800 meters in 139 seconds. About how long would it take her to run 6 times as far if she runs at the same speed?

about 600 seconds

500

Tod Mountain is a mountain peak near Tyler, Texas. A ranger hiked 607 feet to and from the peak, each way. The ranger hiked 3 times in the past four weeks. How far did the ranger hike on Tod Mountain over the past four weeks?

3,642 feet

500

6,754 x 6

40,524

500

Mr. Brouard would like to purchase a laptop computer for each of his 2 daughters and 1 son. The computers each cost $387. Write and solve an equation to find the total cost of the computers. Explain why your answer is reasonable

3 x 387 = 1,161

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