First Grade Math Skills & Concepts Continuum



|Fifth Grade Math Skills Report |

|Explanation of Color Coding |

|Pink: Just beginning to utilize this skill or concept |

|Yellow: Developing an understanding of this skill or concept |

|Green: Proficient with this skill or concept |

| November |February | June |

|Multiplication and Division---Algebraic Thinking |

|Fluently multiply multi-digit whole numbers |Fluently multiply multi-digit whole numbers |Fluently multiply multi-digit whole numbers |

| | |5.NBT.5 |

|Find whole number quotients of whole numbers with up |Find whole number quotients of whole numbers with up to|Find whole number quotients of whole numbers with up to |

|to four-digit dividends and two digit divisors using |four-digit dividends and two digit divisors using |four-digit dividends and two digit divisors using strategies |

|strategies based on place value, properties, and the |strategies based on place value, properties, and the |based on place value, properties, and the relationship of |

|relationship of multiplication to division. |relationship of multiplication to division. Illustrate|multiplication to division. Illustrate and explain by using |

|Illustrate and explain by using equations, arrays, |and explain by using equations, arrays, and/or area |equations, arrays, and/or area models |

|and/or area models. |models |5.NBT.6 |

|Recognize that in a multi-digit number, a digit in |Recognize that in a multi-digit number, a digit in one |Recognize that in a multi-digit number, a digit in one place |

|one place represents 10 times as much as it |place represents 10 times as much as it represents in |represents 10 times as much as it represents in the place to its|

|represents in the place to its right. |the place to its right and 1/10 of what it represents |right and 1/10 of what it represents in the place to its left. |

| |in the place to its left. |5.NBT.1 |

|Explain patterns in the number of zeros of the |Explain patterns in the number of zeros of the product |Explain patterns in the number of zeros of the product when |

|product when multiplying a number by powers of 10. |when multiplying a number by powers of 10 and explain |multiplying a number by powers of 10 and explain patterns in |

| |patterns in placement of the decimal point when a |placement of the decimal point when a decimal is multiplied or |

| |decimal is multiplied or divided by a power of 10. |divided by a power of 10. |

| | |5.NBT.2 |

|Use parentheses, brackets or braces in numerical |Use parentheses, brackets or braces in numerical |Use parentheses, brackets or braces in numerical expressions and|

|expressions and evaluate expressions |expressions and evaluate expressions |evaluate expressions 5.OA.1 |

|Write simple expressions that record calculations |Write simple expressions that record calculations with |Write simple expressions that record calculations with numbers |

|with numbers and interpret numerical expressions |numbers and interpret numerical expressions without |and interpret numerical expressions without evaluating them |

|without evaluating them |evaluating them |5.OA.2 |

| |Generate two numerical patterns using two given rules. |Generate two numerical patterns using two given rules. Identify |

| |Identify relationships between terms. |relationships between terms. Form ordered pairs and graph the |

| | |pairs on a coordinate plane. |

| | |5.OA.3 |

|Basic Facts /Number Fluency |

|Fluency with 0-9 multiplication and division facts |Fluency with 0-9 multiplication and division facts |Fluency with 0-12 multiplication and division facts |

| | | |

| | |3.OA.7 |

|Fractions/Decimals |

|NOT ASSESSED |Read, write, and compare decimals to thousandths |Read, write, and compare decimals to thousandths. |

| | | |

| | |5.NBT.3 |

|NOT ASSESSED |Use place value to round decimals to any place |Use place value to round decimals to any place. |

| | |5.NBT.4 |

|NOT ASSESSED |Add, subtract, multiply and divide decimals to |Add, subtract, multiply and divide decimals to hundredths using |

| |hundredths using concrete models or drawings and |concrete models or drawings and strategies based on place value,|

| |strategies based on place value, properties and/or the |properties and/or the relationship of multiplication to division|

| |relationship of multiplication to division to explain |to explain thinking |

| |thinking |5.NBT.7 |

|NOT ASSESSED |Add and subtract fractions with unlike denominators |Add and subtract fractions with unlike denominators (including |

| |(including mixed numbers) |mixed numbers) 5.NF.1 |

|NOT ASSESSED |Solve word problems involving addition and subtraction |Solve word problems involving addition and subtraction of |

| |of fractions including cases of unlike denominators by |fractions including cases of unlike denominators by using |

| |using estimation strategies, visual models, and/or |estimation strategies, visual models, and/or benchmark fractions|

| |benchmark fractions | |

| | |5.NF.2 |

|NOT ASSESSED |Interpret a fractions as division of the numerator by |Interpret a fractions as division of the numerator by the |

| |the denominator. Solve word problems involving |denominator. Solve word problems involving division of whole |

| |division of whole numbers leading to answers in the |numbers leading to answers in the form of fractions or mixed |

| |form of fractions or mixed numbers and using visual |numbers and using visual models or equations to represent the |

| |models or equations to represent the problem. |problem. |

| | |5.NF.3 |

|NOT ASSESSED |NOT ASSESSED |Multiply and divide fractions 5.NF.4 |

|NOT ASSESSED |NOT ASSESSED |Interpret multiplication as scaling or resizing 5.NF.5 |

|NOT ASSESSED |NOT ASSESSED |Solve real world problems involving multiplication of fractions |

| | |and mixed numbers by using visual models or equations to |

| | |represent the problem |

| | |5.NF.6 |

|NOT ASSESSED |NOT ASSESSED |Divide unit fractions by whole numbers and whole numbers by unit|

| | |fractions. Solve real world problems involving division of unit |

| | |fractions by non-zero whole number by using visual models and |

| | |equations to represent the problem. 5.NF.7 |

|Problem Solving |

|Solve word problems using addition, subtraction, |Solve multi-step step word problems using addition, |Solve multi-step step word problems using addition, subtraction,|

|multiplication and division of whole numbers with a |subtraction, multiplication and division with a variety|multiplication and division with a variety of strategies. |

|variety of strategies |of strategies |4.OA.3, 5.NF.2, 5.NF.6 |

|4.OA.3 | | |

|Measurement |

|. NOT ASSESSED |NOT ASSESSED |Convert among different sized standard measurement units within |

| | |a given measurement system and solve real world problems |

| | |5.MD.1 |

|NOT ASSESSED |NOT ASSESSED |Make a line plot to display a data set of fractions of unit |

| | |(1/2, ¼, 1/8) Solve problems involving addition, subtraction, |

| | |and multiplication of fractions by using information presented |

| | |in the line plot. |

| | | |

| | |5.MD.2 |

|NOT ASSESSED |NOT ASSESSED |Recognize volume as an attribute of solid figures and measure |

| | |volume in cubic units (cubic cm, cubic ft) Solve real world |

| | |problems involving volume. |

| | |5.MD.3,4,5 |

|Geometry |

|NOT ASSESSED |NOT ASSESSED |Graph points on the coordinate plane to solve real-world |

| | |problems. 5.G.1,2 |

|NOT ASSESSED |NOT ASSESSED |Classify two-dimensional figures into categories based on their |

| | |properties 5.G.3,4 |

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