Roosevelt Union Free School District Common Core Curriculum Map in Mathematics Grade 5 Modules: 1-6
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1 Roosevelt Union Free School District Common Core Curriculum Map in Mathematics Grade 5 Modules: 1-6
2 Roosevelt Union Free School District Math Alignment Map: Story of Units Module 1 ~ Grade 5 Grade Whole Number and Decimal Fraction Place Value to the One Thousandths Clusters: Understand the Place value system/ Convert like measurement within a given measurement system Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 20 Days 5.NBT.1 Recognize that in a multidigit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of NBT.3 Read, write, and compare decimals to thousandths 5.NBT.4 Use place value understanding to round decimals to any place. pp Lessons: 7-9 Lesson 9,12 Multi- digit Multiplication pp Lessons: Lesson: 12 pp Lessons: 14,15 Lesson: 9, 10 pp Lesson: 16 Lesson: 11 Multiply by powers of 10 Add and Subtract within 1,000,000 Place Value with Decimals Thinking Maps Circle Map Bubble Map Double Bubble Map Brace Map Tree Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning 5.MD.1 Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems pp pp pp pp Lessons: Lessons: 25,26
3 Roosevelt Union Free School District Math Alignment Map: Story of Units Module 2~ Grade 5 Multi-Digit Whole Number and Decimal Fraction Operations Clusters: Write and interpret numerical expressions/understand the place value system/perform operations with multi-digit whole numbers and with decimals to hundredths Grade Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 35 Days 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. 5.NBT.1 Recognize that in a multidigit number, a digit in the ones place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. Lesson: 4.3 pp Lessons: 1-3 Lessons: 1-3 Multi- digit Multiplication Lesson: 4.3 pp Lessons: 5.1 pp pp Lesson: 2.4 pp Lessons: 12,13, Lessons: 1-3 Lessons: 1-3 Lessons: 7-9 Lessons: 9, 12 pp.186 Lessons: 10, 11 Lesson: 12 17,18 Lesson: 6 Multiply by powers of 10 Place Value with Decimals Add and Subtract within 1,000,000 Thinking Maps Circle Map Bubble Map Double Bubble Map Brace Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning
4 5.NBT.6 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 Lesson: 3.2 pp Lessons: Lessons: 7,8 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. Lessons: 6.2 pp pp pp pp pp Lessons: Lessons: 13-16
5 Grade Roosevelt Union Free School District Math Alignment Map: Story of Units Module 3 ~ Grades 5 Addition, Subtraction, Multiplication and Division of Fractions Clusters: Write and Interpret numerical expressions/ Use equivalent fractions as strategy to add and subtract fractions Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 35 Days 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 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators 5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers 5.NF.3 Interpret a fraction as division of the numerator by the denominator. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers Lesson 4.1 pp Lesson1-2 Lesson 2,3 Multiplying by powers of 10 Lesson 4.2 pp Lesson 3 Lesson 1 Lesson 12.2 pp Lesson 12.4 pp Lesson 13.1 pp Lesson 13.5 pp Lesson 13.6 pp Lesson Lesson Lesson Lesson 19,20 Lesson 15.6 pp Lesson 63 Lesson 23 Place Value with Decimals Add and Subtract within 1,000,000 Multi-digit multiplication Thinking Maps Circle Map Tree Map Flow Map Brace Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning
6 5.MD.1 Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems 5.MD.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. pp Lesson78-84 Lesson 25, 26 pp Lesson 85 Lesson 29
7 Grade Roosevelt Union Free School District Math Alignment Map: Story of Units Module 4 ~ Grade 5 Extensions and Applications of Multiplication and Division of Fractions and Decimal Fractions Clusters: Perform operations with multi-digit whole numbers and with decimals to hundredths/ Apply and extend previous understandings of multiplication and division to multiply and divide fractions Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 25 Days 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.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. 5.NF.5 Interpret multiplication as scaling (resizing), by: a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given Lesson Lesson Lesson Lesson Lesson Lesson Lesson Lesson Lesson 15.1 pp Lesson 15.3 pp Lesson 15.4 pp Lessons: Lessons Place Value with Decimals Lessons: Lesson 22 Lesson 15.2 pp Lessons: Lesson 21 Multi-Digit Multiplication Fact Families Add and Subtract within 1,000,000 Thinking Maps Circle Map Tree Map Double Bubble Map Brace Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning
8 number; and relating the principle of fraction equivalence a/b = (n a)/(n b) to the effect of multiplying a/b by 1 5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem 5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Lesson 15.4 pp Lesson 73 Lesson 22 Lesson 15.5 pp Lesson 15.6 pp Lesson Lesson 24
9 Roosevelt Union Free School District Math Alignment Map: Story of Units Module 5 ~ Grade 5 Addition and Multiplication with Volume and Area Clusters: Apply and extend previous understandings of multiplication and division to multiply and divide fractions/ Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition/classify two dimensional figures into categories based on their properties Grade Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 25 Days 5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction 5.MD.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement 5.MD.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units 5.MD.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. 5.G.3 Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. 5.G.4 Classify two-dimensional figures in a hierarchy based on properties Lesson 15.1 pp Lesson 15.3 pp Lesson 15.4 pp Lessons: Lesson 22 Multi- digit Multiplication Lesson 24.8 pp Lessons: Lesson 27 Lesson 24.8 pp Lesson: 89 Lessons: 27,28 Lesson pp. 673 Lessons: Lesson: 27,28 Lesson 18.3 pp Lessons: Lessons: Lesson 18.3 pp Lesson: 100 Lessons: 33,34 Multiply by powers of 10 Thinking Maps Circle Map Bubble Map Double Bubble Map Brace Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning
10 Roosevelt Union Free School District Math Alignment Map: Story of Units Module 6 ~ Grade 5 Graph Points on the Coordinate Plane to Solve Problems Clusters: Write and interpret numerical expressions/ Analyze patterns and relationships/graph points on the coordinate plane to solve real-world and mathematical problems Grade Time (Approx.) Common Core Math Standards HSP Math On Core Mathematics Crosswalk Coach Fluency Suggestions Resources 5 40 Days 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane 5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y- coordinate). Lesson 4.3 pp Lessons: 1-3 Lessons: 1-3 Multi- digit Multiplication Lesson 20.4 pp Lesson 21.1 pp Lessons: 4-6 Lessons: 4,5 Lesson Lesson: 94 Lesson: 30 Multiply by powers of 10 Thinking Maps Circle Map Bubble Map Double Bubble Map Brace Map Websites parcconline.org thinkcentral.com K-5mathteachingresources.com Theteachingchannel.org illustrativemathematics.org Thesingaporemaths.com engageny.org learnzillion.com MathBlaster.com Internet4classrooms.com apples4theteacher.com/math Fast Math Teach21Project Based Learning
11 5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. 5.NBT.6 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 Lesson Lessons: 95,96 Lesson: 31 Lesson: 3.2 pp Lessons: Lessons: 7,8 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. Lessons: 6.2 pp pp pp pp pp Lessons: Lessons: 13-16
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