Saskatchewan Common Mathematics Assessments Post Assessment Outcome: N6.4 Extend understanding of multiplication and division to decimals (1-digit whole number multipliers and 1-digit natural number divisors). 1. Estimate each product or quotient. Show your work. Level a) 25.783 x 4 ____________________ b) 6.7 x 7 ____________________ c) 15.9 ÷ 8 _____________________ 1 d) 42.035 ÷ 6 _____________________ 2. Multiply or divide. Show your work. a) 3.78 L x 9 b) $2.57 ÷ 9 3. Elisa works in a pharmacy in North Battleford, Saskatchewan. In 1 h, she fills 7 tubes of prescriptive cream. Each tube contains 12.25 ml of cream. How much cream did Elisa package into tubes? Show your work. Level 2 4. Multiply as you would whole numbers. Estimate to place the decimal point. Show your work. a) 0.359 x 5 b) 0.0112 x 9 c) 0.083 x 4 5. Estimate and circle the correct quotient for each division question. Question Possible Quotients a) 8.124 ÷ 6 1.354 13.54 134.5 b) 37.92 ÷ 3 0.1264 1.264 12.64 c) 7.624 ÷ 8 0.953 9.53 95.3 6. Multiply. Describe the strategy you use. 0.018 x 4 ____________ 0.0018 x 4 ____________ 0.00018 x 4 ____________ ___________________________________________________________________ ___________________________________________________________________ 7. The Giant Fan palm produces the world’s largest seed. A seed has a mass of about 9.075 kg. What is the combined mass of 6 of these seeds? Show your work. 8. A student said that since 11 x 5 = 55, then 0.0011 x 5 is 0.55. Is the student’s reasoning correct? Explain Level 3 ___________________________________________________________________ ___________________________________________________________________ 9. A student divided 1.374 by 4 and got 3.435. a) Without dividing, how do you know the answer is incorrect? ___________________________________________________________________ b) What do you think the student did wrong? ___________________________________________________________________ c) What is the correct answer? How can you check? ___________________________________________________________________ 10. Amanda skateboarded 2.25 km in 5 min. Jose skateboarded 2.72 km in 8 min. Who travelled farther in 1 min.? Show your work. 11. One week, Marnie walked to school 4 days. She walked 10.832 km in total. The following week, Marnie walked to school all 5 days. How far did Marnie walk the second week? Show your work. Level 4 Teacher Section Teacher Notes: Question Indicator Level Answer Key: 1. 2. 3. 4. 5. 6. 7. 8. N6.4 d N6.4 d N6.4 d, g N6.4 e N6.4 f N6.4 c N6.4 g N6.4 b, g 1 1 2 2 2 2 2 3 9. 10. N6.4 f N6.4 c, g 3 3 11. N6.4 c, g 3 Answer a) 25 x 4 = 100 b) 7 x 7 = 49 c) 16 ÷ 8 = 2 d) 42 ÷ 6 = 7 a) 34.02 b) 0.2855555 85.75 ml a) 1.795 b) 0.1008 c) 0.332 a) 1.354 b) 12.64 c) 0.953 0.072, 0.0072, 0.00072 54.45 kg 0.0055 This reasoning is not correct. 0.0011 is 11 ten-thousandths, and 11 tenthousands x 5 is 55 ten-thousandths, or 0.0055. 0.55 is 55 hundredths. To go from 11 to 0.0011, the digits move 4 places to the right. So, the digits in the product should also be moved 4 places to the right. a) 1 ÷ 4 ≠ 3 b) decimal placement c) 0.3435 2.25 ÷5 = 0.45km 2.72 ÷ 8 = 0.34km Amanda skateboarded further in 1 min. 10.832 + 2.708 = 13.54 Outcome: N6.4 Extend understanding of multiplication and division to decimals (1-digit whole number multipliers and 1-digit natural number divisors). up to Level 1 up to Level 2 up to Level 3 up to Level 4 Description of Levels: (based on Marzano, 2007) There is a partial understanding of some of the simpler details and processes. Prior knowledge is understood. No major errors or omissions regarding the simpler details or processes, but major errors or omissions regarding the complex processes may be present. N5.2 c, j; N5.3 d, g N6.4 b, c, d, g N6.4 b, c, d, f, g Indicators and Learning Targets for each Level: Recall multiplication and division facts to 81. Estimate products and quotients involving decimals. Explain where a decimal should be placed in a multiplication and division statement. I can multiply and divide whole numbers. StudentI can estimate friendly products and quotients descriptions involving decimals. of learning targets. Develop a generalization about the impact on overall quantity when a decimal number is multiplied or divided by a whole number. Solve situational questions that involve multiplication and division of decimals. I can solve simple word problems involving multiplication and division of decimals. I can use patterning as a strategy to correctly place the decimal in a product of quotient. No major errors or omissions regarding any of the information and/or processes that were explicitly taught. This is the target level for proficiency. N6.4 b, c, f, g In addition to level 3 performance, indepth inferences and applications go beyond what was explicitly taught. Solve situational questions that involve multiplication and division of decimals I can solve word problems involving multiplication and division of decimals. N6.4 c, g Solve problems that are complex or involve multiple steps I can solve multistep word problems involving multiplication and division of decimals.