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MATHEMATICS-11 ESSENTIAL UNIT 3 (E03) (Decimals) (July 2013) Unit Statement: In this unit, the student will read, write, compare, and order decimals. The student will also use rounding to estimate answers to problems that involve decimals and solve decimal equations. In order to be successful in this unit, the student is expected to be familiar with the Key Terms and Concepts listed below. Essential Outcomes: (must be assessed for mastery) Problem solving and higher order thinking components are essential for ‘A’ level mastery. Each TSW can contain problem solving and higher order thinking components (as found in suggested text). 1. The Student Will name (in expanded, standard, and word form), compare, and order decimals using place value and number lines. (3-1, pp. 94-97) 2. TSW estimate the sum, difference, product, and quotient of decimals by rounding, using compatible numbers, and front-end estimation. (3-2, pp. 98-101) 3. TSW solve addition and subtraction of multi-digit decimals using the standard algorithm for each operation. (3-3, pp. 104-107) 4. TSW multiply the decimal (expression) by whole numbers and by decimals. (3-4, pp. 112-115) 5. TSW divide the decimal (expression) by whole numbers and by decimals. (3-5 and 3-6, pp. 116-122) 6. TSW solve (story) problems by interpreting the quotient. (3-7, pp. 123-125) 7. TSW solve (one-step) equations involving decimals. (3-8, pp. 126-129) 8. TSW demonstrate the correct procedures and strategies solving real-world problems with decimals by using variables and writing expressions. (pp. 97, 109, 115, 120, and 131) Introduced and Practiced Outcomes: (taught not assessed) 1. The Student Will identify the place value of underlined digits (p. 91). 2. TSW solve addition, subtraction, multiplication, and division of whole numbers (p. 91). 3. TSW identify values for exponents (p. 91). 4. TSW solve one-step equations (p. 91). Key Terms and Concepts: Difference Dividend Divisor Evaluate Equation Ones/tens/etc. Quotient Clustering 11 QSI MATHEMATICS-11 E03 Copyright © 1988-2013 Front-end estimation Standard form Extended form Word form Suggested Materials: Teacher’s Edition, Chapter 3, Holt McDougal, Mathematics, grade 6. Suggested Assessment Tools and Strategies: Attached rubric or teacher generated rubric that assesses ALL essential outcomes (TSWs). Assessments created by the teacher (ExamView CD-ROM). Chapter 3 tests on the ‘Teacher One Stop’ CD-ROM or in the Assessment Resources (Holt McDougal, Mathematics, Grade 6) Students keep a Math journal in which they write about real-life situations connected to their TSW’s (TSW 8, TE: p. 93). Students can use this same journal to rewrite explanations given as paragraphs as steps or a list (TE: p. 45). Students do online research to learn more about Puget Sound’s ferry system (or any other transport system). Then ask them to use the schedules and/or information about the routes to write original problems that involve decimal operations (TSW 8, p.131 TE). Students can design, create, and play a game (Don’t Say the Word, Memory, Pictionary, Scrabble, Word Wall, etc.) where they can prove their understanding of the Key Terms and Concepts (TSW 1-7). Additional Resources: G is for Googol: A Math Alphabet Book by David Schwartz (see page 93 TE). Family Math by Jean Kerr Stenmark, Virginia Thompson, Ruth Cossey, and Marilyn Hill Technology Links: Destiny WebPath Express (school library site) Lesson Tutorial Videos for every lesson (CD-ROM, Holt McDougal, Mathematics, Grade 6) Power Point Presentations for every lesson (CD-ROM; Teacher One Stop, Holt McDougal, Mathematics, Grade 6) http://my.hrw.com (Holt McDougal's online math tools) www.ixl.com/math (online practice for students) www.tenmarks.com (online supplemental math program) www.khanacademy.org (online practice for students) Suggested rubric found on following page…….. 12 QSI MATHEMATICS-11 E03 Copyright © 1988-2013 SUGGESTED RUBRIC MATH-11 E03 Student Name: __________________________ - Date: _______________________ To receive a ‘B’, the student must show ‘B’ level mastery on ALL Essential Outcomes (TSW’s). To receive an ‘A’, the student must show ‘A’ level mastery on all two available TSW’s and ‘B’ level mastery on all of the remaining TSW’s. ‘A’ LEVEL TSW 1- TSW name, compare, and order decimals using place value and number lines. ‘B’ LEVEL The student is consistent in naming, comparing and ordering decimals. 2- estimate the sum, difference, product, and quotient of decimals by rounding, using compatible numbers, and front-end estimation. 3- solve addition and subtraction of multidigit decimals using the standard algorithm for each operation. 4- multiply the decimal (expression) by whole numbers and by decimals. The student is fluent in estimating the sum, difference, product, and quotient of decimals by rounding, using compatible numbers and using frontend estimation. The student consistently uses the standard algorithm to solve addition and subtraction of multi-digit decimals. The student correctly solves multiplication problems with decimals consistently. 5- divide the decimal (expression) by whole numbers and by decimals. 6- solve problems by interpreting the quotient. The student correctly solves division problems with decimals consistently. The student constructs viable arguments in solving problems and critiques the reasoning of other quotients. 7- solve equations involving decimals. 8- demonstrate the correct procedures and strategies solving realworld problems with decimals by using variables and writing expressions. The student shows consistency in interpreting the quotient in (story) problems. The student is consistent in solving decimal equations. The student publishes a high quality report with original problems that involve decimal operations. The student consistently demonstrates the correct procedure and strategy to solve decimals in realworld applications. 13 QSI MATHEMATICS-11 E03 Copyright © 1988-2013 Notes