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Incorporate Math Assessment Items Into Standards-Based Instruction. Margarita Alvarez Rosemary Heinitz Sue Wygant Assessment Conference August 2, 2012.
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Incorporate Math Assessment Items Into Standards-Based Instruction Margarita Alvarez Rosemary Heinitz Sue Wygant Assessment Conference August 2, 2012 “Leading for educational excellence and equity. Every day for every one.”
Provide an opportunity for teachers to learn about connections between standards and assessments and possible approaches to learning experiences that incorporate assessment items. Goal Agenda education.state.mn.us Explore some MCA items Look at some response patterns Discuss implications for instruction
A Focus on Properties and Relationships6th Grade (26 + 18) + 14 = • (26 – 18) – 14 • 26 + (18 + 14) • 26 x (18 + 14) • (26 ÷ 18) ÷ 14 • C. • D. 70% 48% 7 x 0.93 = • 0.9 x 0.03 x 7 • 7 x 0.9 + 0.03 • 7 x (0.9 + 0.3) • 7 x 1 – 7 x 0.07 • C. • D. 12% 25% education.state.mn.us
A Focus on Properties and RelationshipsAn Area Problem in 6th Grade 238 cm2 (14 + 20)(14/2) 220 cm220 x 8 + 6 x 20/2 280 cm220(14) 300 cm2 20(8 + 14/2) 19% education.state.mn.us
6th Grade A company is printing 250 calendars. In 1 hour, 75 calendars are printed. What percent of the calendars are printed in 1 hour? A. 3% B. 3.3% C. 30% D. 3.3% education.state.mn.us
6th Grade Riley has 200 stamps. 35% from Europe 10% from Asia 20% from Australia The rest of the stamps are from North America. How many of Riley’s stamps are from North America? 10% 20 20% 40 30% 60 5% 10 35% 70 100% - (35% + 10% + 20%) = 35% = So, 35% of 200 = education.state.mn.us
Grade 4 Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? 908 ÷ 4 = 100 + 100 + 1 + 1 + 25 = 227 Grade 5 Grade 7 15 x (4 + 3) = Which is equivalent to ? 3 4 (15 + 4) x (15 + 3) 15 x 4 + 4 x 3 (15 + 4) x (4 + 3) 15 x 4 + 15 x 3 15 50% 7 education.state.mn.us
Minnesota Mathematics and Science Frameworks www.scimathmn.org/stemtc
11th Grade Ok adding polynomials, but… • B. C. D. A. B. C. D. 38% 28% education.state.mn.us
Margarita Alvarez margarita.alvarez@state.mn.us Rosemary Heinitz rosemary.heinitz@state.mn.us Sue Wygant susan.wygant@state.mn.us Assessment Conference August 2, 2012
Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? education.state.mn.us
Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? education.state.mn.us
Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? education.state.mn.us
Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? education.state.mn.us
Grade 3 Malik has 64 marbles. He puts an equal number into each of 4 jars. How many marbles are in each jar? (4 x 10) + (4 x 2) + (4 x 2) + (4 x 2) = (4 x 10) + (4 x 6) = 4 x (10 + 6) = 4 x 16 = 64 16 16 16 16 education.state.mn.us
Grade 4 100 + 100 + 1 + 1 + 25 = 227 908 ÷ 4 = Partitive or measure-ment? 4 2 2 7 400 100 4 508 Partitive or measure-ment? 8 400 100 10 Partitive or measure-ment? 8 108 2 8 28 28 100 100 25 education.state.mn.us
Grade 7 Flexible in naming numbers Try using: Understands relationship between multiplication & division Understands multiplication Flexible in naming numbers Understands place value education.state.mn.us