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demonstrate and describe the process of addition and subtraction of numbers up to 10 000, using manipulatives, diagrams, and symbols
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Marnie is asked to show the number two thousand eight hundred fifteen. Show the number using base-ten blocks and a place-value chart.
Next Marnie drew these three cards.
Show the number in the place-value chart. Describe how Marnie might use the blocks to show how she subtracts the two numbers. Draw a picture of her answer.
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demonstrate the process of multiplication (three-digit by one-digit numbers), using manipulatives, diagrams, and symbols
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Use a calculator to find two numbers whose product is 462. How many such numbers are there?
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demonstrate the process of division (two-digit by one-digit numbers), using manipulatives, diagrams, and symbols
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Make up a story problem to match this expression:
91 — 7
Explain how you would estimate the quotient. Show how you would use base-ten blocks and numbers to calculate the quotient.
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recall multiplication and division facts up to 81
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Fill in the missing numbers.
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justify their choice of method for multiplication and division (using estimation, calculators, mental mathematics, manipulatives, and algorithms)
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Explain how to find the answers to the following questions faster by using mental mathematics strategies rather than by using a pencil-and-paper algorithm or the calculator.
3 x 204 = ?
56 — 9 = ?
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verify solutions to multiplication and division problems by using estimation and calculators
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In each row, circle the pair of numbers you would use to best estimate the product. Explain your choice.
| 27 x 16 = | 30 x 20 | 20 x 30 | 30 x 10 |
| 33 x 24 = | 40 x 20 | 30 x 20 | 30 x 30 |
Use a calculator to compare each estimate to the actual product. Did you make the best choice? Use your strategy to best estimate 28 x 36.
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verify solutions to multiplication and division problems by using the inverse operation
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Celine showed her division on the chalkboard. How would you use multiplication to check her quotient?
Do you agree with Celine¼s solution? If not, how would you correct it?
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demonstrate an understanding of the addition and subtraction of decimal fractions (tenths and hundredths) by using concrete and pictorial representations
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Show how you would use base-ten blocks to solve these problems:
- Diana bought a magazine priced at $1.49 and a package of doughnuts priced at $2.18. What was the total cost, before taxes?
- Sam had a roll of paper 4.2 m long. After he cut off a piece to make a banner, there were 2.5 m left on the roll. How long was the piece he cut off?
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Number (Number Operations)
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