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use patterns, manipulatives, and diagrams to demonstrate the concepts of multiplication and division by decimal fractions
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Jacques bought 13.2 m of fabric to make tablecloths. Each tablecloth takes 2.4 m of fabric. How many can he make? Use base-ten blocks to find the answer. Explain how your block answer is related to the one you get on your calculator.
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use estimation strategies to predict or assess the reasonableness of their calculations
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Liam bought three equally priced CDs and a tape priced at $11.95. He paid $71.20 in total. What was the cost of each CD? Before you calculate the exact answer, explain why it must be less than $24.00.
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add, subtract, multiply, and divide decimal fractions (using technology for more than two-digit divisors or multipliers)
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Apples cost $1.39 per kilogram. If you have $6.00, can
you purchase a 3.75 kg bag of these apples? Explain how you could make an estimate to be sure, before you purchase the apples. Find the cost of 3.75 kg of apples.
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demonstrate an understanding of the order of operations, using paper and pencil and a calculator
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Place parentheses in the following equation to make
it true.
4 + 5 x 3 - 8 = 19
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add, subtract, multiply, and divide integers concretely, pictorially, and symbolically
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Hoang explained +5 x -2 as putting five groups of two white chips into a neutral container for a product of
-10. He explained -6 x +4 as taking six groups of four black chips out of a neutral container for a product of
-24. Using Hoang¼s reasoning, demonstrate and explain -3 x -5 and +7 x +6.
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estimate and calculate percentages
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Alice says that since an increase from 5 to 20 is a 300% increase, then a decrease from 20 to 5 must be a 300% decrease. What is wrong with her reasoning?
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distinguish between rate and ratio
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From Saskatoon to Regina is a distance of 276 km. What would the rate of travel be if the trip took three hours?
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explain and demonstrate the use of proportion in solving problems
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Geela makes orange paint with five parts yellow to two parts red. If she used six parts red, how many parts yellow would she need?
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mentally convert proper fractions, decimal fractions, and percentages from one to another to facilitate the solution of problems
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Of the 600 people at the basketball game, 25% were with the visiting team. Use mental mathematics to find how many people were with the visiting team.
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