Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Priority Standards Perform operations with multi-digit whole numbers and with decimals to hundredths. CCSS.Math.Content.5.NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm. CCSS.Math.Content.5.NBT6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. CCSS.Math.Content.5.NBT7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Support Tool (Standards Unpacked) http://www.ncpublicschools.org/docs/acre/standards/common-core-tools/unpacking/math/5th.pdf Standards Flipbook http://katm.org/wp/wp-content/uploads/flipbooks/5th-Flipbookedited2.pdf HESD Planning Support for Grade 5 Math http://www.huensd.k12.ca.us/Page/4643 1 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Chapter 1 of 5 Tier 3 Vocabulary • Commutative Property • Equation • Exponents • Expression • Multiplicand • Multiplier • Order of Operations • Partial Product • Product • Algorithm Big Idea(s) addressed in this chapter: Vocabulary, plus multiplication of one digit by one, two, and three-digit numbers, including partial products, models, arrays PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that govern arithmetic and algebra. BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. Emphasized Mathematical Practices: 5.MP.1. Make sense of problems and persevere in solving them. 2 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) 5.MP.4. Model with mathematics. 5.MP.6. Attend to precision. 5.MP.7. Look for and make use of structure 5.MP.8. Look for and express regularity in repeated reasoning. Criteria for Success1 “What is good enough?” 5.NBT.5. Fluently Given numbers and word multiply multi-digit whole problems, students can numbers using the multiply a one-digit number standard algorithm. by a two or three-digit multiplicand with 80% accuracy Students learn to multiply a two-digit number by a two or three-digit multiplicand. Learning Objectives Relevant Essential Questions How can I multiply larger numbers? Assessment 5.NBT.5 | Assessing 5.NBT.5 What do parentheses mean in a numerical expression? How can I use parentheses to clarify meaning, and show the order of operations in math expressions? 1 3 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Chapter 2 of 5 Big Idea(s) addressed in this chapter: Vocabulary, plus algorithm for two and three-digit multiplication PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that govern arithmetic and algebra. BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. Emphasized Mathematical Practices: 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.4. Model with mathematics. 5.MP.6. Attend to precision. 5.MP.7. Look for and make use of structure 5.MP.8. Look for and express regularity in repeated 4 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) reasoning. Learning Objectives Criteria for Success “What is good enough?” 5.NBT.5. Fluently Given numbers and word multiply multi-digit whole problems, students can numbers using the multiply a two-digit number standard algorithm. by a two or three-digit multiplicand with 80% accuracy Students learn to multiply a two-digit number by a two or three-digit multiplicand. Relevant Essential Questions How can I multiply large numbers? Assessment 5.NBT.5 | Assessing 5.NBT.5 Supporting Standards 5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and 5 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 6 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) 7 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Chapter 3 of 5 Tier 3 Vocabulary ● ● ● ● ● ● Distributive Property Properties of Operations Remainder Quotient Measurement Division (or Repeated Subtraction) Partition Division (or fair-sharing) Big Idea(s) addressed in this chapter: The relationship between multiplication & division - theoretical and practical, including partial products and partial quotients; inverse operations PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that govern arithmetic and algebra. BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. Emphasized Mathematical Practices: 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.4. Model with mathematics. 8 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) 5.MP.6. Attend to precision. 5.MP.7. Look for and make use of structure 5.MP.8. Look for and express regularity in repeated reasoning. Learning Objectives 5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm. Criteria for Success “What is good enough?” Relevant Essential Question2 Assessments 5.NBT.5 | Assessing 5.NBT.5 5.NBT.6 | Assessing 5.NBT.6 5.NBT.7 | Assessing 5.NBT.7 5.NBT.6. Find wholenumber quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 2 9 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Supporting Standards 5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2. Write simple 10 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 11 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Chapter 4 of 5 Tier 3 Vocabulary • Dividend • Divisor • Remainder Big Idea(s) addressed in this chapter: Divide with one digit divisors. Include vocabulary and standard algorithm. PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that govern arithmetic and algebra. BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. Emphasized Mathematical Practices: 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.4. Model with mathematics. 5.MP.6. Attend to precision. 5.MP.7. Look for and make use of structure 5.MP.8. Look for and express regularity in repeated 12 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) reasoning. Learning Objectives Criteria for Success “What is good enough?” 5.NBT.5. Fluently Given numbers and word multiply multi-digit whole problems, students can find numbers using the whole number quotients for standard algorithm. two and three-digit numbers divided by one-digit divisors with 80% accuracy 5.NBT.6. Find wholenumber quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Relevant Essential Questions3 How can I divide multi digit whole numbers? Assessments 5.NBT.5 | Assessing 5.NBT.5 5.NBT.6 | Assessing 5.NBT.6 5.NBT.7 | Assessing 5.NBT.7 3 13 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Supporting Standards 5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, 14 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 15 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Chapter 5 of 5 Big Idea(s) addressed in this chapter: Find whole number quotients of problems with up to four-digit dividends and two-digit divisors; performance tasks using real world problems. PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that govern arithmetic and algebra. BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of equivalence to transform calculations into simpler ones. Emphasized Mathematical Practices: 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.4. Model with mathematics. 5.MP.6. Attend to precision. 5.MP.7. Look for and make use of structure 5.MP.8. Look for and express regularity in repeated reasoning. 16 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Learning Objectives 5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm. 5.NBT.6. Find wholenumber quotients of whole numbers with up to fourdigit dividends and twodigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, Criteria for Success4 “What is good enough?” Given numbers and word problems, students can find whole number quotients for two and three-digit numbers divided by two-digit divisors with 80% accuracy Relevant Essential Questions5 Assessments 5.NBT.5 | Assessing 5.NBT.5 5.NBT.6 | Assessing 5.NBT.6 5.NBT.7 | Assessing 5.NBT.7 4 5 17 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) rectangular arrays, and/or area models. Supporting Standards 5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the 18 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Online Resources Organized by Priority Standards CCSS.Math.Content.5.NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm. https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.5 http://ccssmath.org/?page_id=440 http://www.pinterest.com/mathscisocohmy/5nbt-number-and-operations-in-base-ten/ http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt5 https://sites.google.com/a/bryantschools.org/math-common-core-resource-site/home-1/5th-grade/5-nbt-5 http://www.internet4classrooms.com/common_core/fluently_multiply_multi_digit_whole_numbers_using_number_operatio ns_in_base_ten_fifth_5th_grade_math_mathematics.htm 19 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Engage New York: https://www.engageny.org/taxonomy/term/9556 http://www.mathworksheetsland.com/5/ http://www.livebinders.com/play/play?id=406974 https://learnzillion.com/lessons/528-multiply-multidigit-numbers-using-an-area-model http://www.sharemylesson.com/TaxonomySearchResults.aspx?area=resources&keywords=5.NBT.5 http://www.mathgoodies.com/standards/alignments/grade5.html http://ccss5.watchknowlearn.org/Category.aspx?CategoryID=15540 http://www.orglib.com/5.nbt.5-practice-testviewTestQuestions_0d1520c2bb_c32f38effde140788221fe54e2fa0f28_748.html https://www.oercommons.org/browse/alignment/CCSS.Math.Content.5.NBT.B.5 http://njcore.org/ccss/ccssmathcontent5nbtb5 http://www.sumdog.com/en/Fluently_multiply_and_divide_within_100_-_multiplication_table_of_10/ Make the Largest Product (ver. 4) Make the Smallest Product (ver. 4) Multiplication Race (2 x 3 digit) CCSS.Math.Content.5.NBT6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 20 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.6 https://learnzillion.com/lessons/552-divide-4digit-dividends-by-2digit-divisors-by-using-an-area-model https://learnzillion.com/lessons/551-divide-4digit-dividends-by-2-digit-divisors-by-estimating-and-adjusting-the-quotient Engage New York: https://www.engageny.org/taxonomy/term/9561 http://www.mathworksheetsland.com/5/ http://www.internet4classrooms.com/common_core/find_whole_number_quotients_whole_numbers_up_number_operatio ns_in_base_ten_fifth_5th_grade_math_mathematics.htm http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt6 http://www.cpalms.org/Public/PreviewStandard/Preview/5417 http://www.pbslearningmedia.org/resource/2829430e-d445-4048-be89-7a785d6d0cf4/number-and-operations-in-base-10grade-5-5nbtb6-5nbtb7/ http://www.livebinders.com/play/play?id=406974 http://quizlet.com/13131075/5th-grade-math-common-core-5nbt6-flash-cards/ http://www.tncurriculumcenter.org/learning_expectation/2628 http://njcore.org/ccss/ccssmathcontent5nbtb6 CCSS.Math.Content.5.NBT7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and 21 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.7 http://ccssmath.org/?page_id=444 http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt7 https://sites.google.com/a/bryantschools.org/math-common-core-resource-site/home-1/5th-grade/5-nbt-7 http://www.livebinders.com/play/play?id=406974’ https://learnzillion.com/lessonsets/229-multiply-and-divide-by-decimals-to-the-hundredths http://www.internet4classrooms.com/common_core/add_subtract_multiply_divide_decimals_hundredths_number_operati ons_in_base_ten_fifth_5th_grade_math_mathematics.htm’ ’http://www.mathnook.com/math/ccss/5.NBT.B.7.php http://www.orglib.com/5.nbt.7-activities-viewtestquestions_0d1520c2bb_c32f38effde140788221fe54e2fa0f28_1185.html Engage New York: https://www.engageny.org/taxonomy/term/9566 http://www.tncurriculumcenter.org/learning_expectation/2629 22 Hueneme Elementary School District Unit 2 Outline: Multiplication and Division Grade 5 (@6-8 weeks) Possible Activities: Decimals of the Week Decimal Bag: Addition Decimal Bag: Subtraction Decimal Pictures Adding Decimals Subtracting Decimals ver. 1 Subtracting Decimals ver. 2 Total Ten Decimal Cross Number Puzzles Decimal Subtraction Spin Decimal Addition to 500 Decimal Addition Bingo Decimal Race to Zero Decimals Magic Triangle Decimal Magic Squares Multiplying Decimals Word Prob. Multiplying Decimals (whole x tenths) Multiplying Decimals (whole x hund.) Assessment Tasks 5.NBT.5 Task 1 5.NBT.5 Task 2 5.NBT.6 Task 1 5.NBT.6 Task 2 5.NBT.7 Task 1 5.NBT.7 Task 2 23