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## CO.5.1.Number Sense, Properties, and Operations

Number Sense, Properties, and Operations
5.1.1. The decimal number system describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms. Students can:
5.1.1.a. Explain that in a multi-digit 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. (CCSS: 5.NBT.1)
5.1.1.a.i. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. (CCSS: 5.NBT.2)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

5.1.1.a.ii. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. (CCSS: 5.NBT.2)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

5.1.1.a.iii. Use whole-number exponents to denote powers of 10. (CCSS: 5.NBT.2)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

5.1.1.b. Read, write, and compare decimals to thousandths. (CCSS: 5.NBT.3)
5.1.1.b.i. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. (CCSS: 5.NBT.3a)
Flip Charts Box It Up
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

5.1.1.b.ii. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CCSS: 5.NBT.3b)
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

5.1.1.c. Use place value understanding to round decimals to any place. (CCSS: 5.NBT.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding

5.1.1.d. Convert like measurement units within a given measurement system. (CCSS: 5.MD)
5.1.1.d.i. Convert among different-sized standard measurement units within a given measurement system. (CCSS: 5.MD.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

5.1.1.d.ii. Use measurement conversions in solving multi-step, real world problems. (CCSS: 5.MD.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

5.1.2. Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency. Students can:
5.1.2.a. Fluently multiply multi-digit whole numbers using standard algorithms. (CCSS: 5.NBT.5)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

5.1.2.b. Find whole-number quotients of whole numbers. (CCSS: 5.NBT.6)
5.1.2.b.i. Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. (CCSS: 5.NBT.6)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Solving Equations
Flip Charts Solving Equations
Vocabulary Terms Algebra
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

5.1.2.b.ii. Illustrate and explain calculations by using equations, rectangular arrays, and/or area models. (CCSS: 5.NBT.6)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

5.1.2.c. Add, subtract, multiply, and divide decimals to hundredths. (CCSS: 5.NBT.7)
5.1.2.c.i. Use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (CCSS: 5.NBT.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

5.1.2.c.ii. Relate strategies to a written method and explain the reasoning used. (CCSS: 5.NBT.7)
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

5.1.2.d. Write and interpret numerical expressions. (CCSS: 5.OA)
5.1.2.d.i. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. (CCSS: 5.OA.1)
Vocabulary Terms Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

5.1.2.d.ii. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. (CCSS: 5.OA.2)
Vocabulary Terms Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

5.1.3. Formulate, represent, and use algorithms to add and subtract fractions with flexibility, accuracy, and efficiency. Students can:
5.1.3.a. Use equivalent fractions as a strategy to add and subtract fractions. (CCSS: 5.NF)
5.1.3.a.ii. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with like denominators. (CCSS: 5.NF.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

5.1.4. The concepts of multiplication and division can be applied to multiply and divide fractions (CCSS: 5.NF). Students can:
5.1.4.a. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). (CCSS: 5.NF.3)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Our Atmosphere
Flip Charts Triangle Tricks
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Ordering Fractions
Vocabulary Terms Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

5.1.4.b. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. (CCSS: 5.NF.3)
Vocabulary Terms Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

5.1.4.c. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. In general, (a/b) × (c/d) = ac/bd. (CCSS: 5.NF.4a)
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

5.1.4.d. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. (CCSS: 5.NF.4b)
5.1.4.d.i. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. (CCSS: 5.NF.4b)
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

5.1.4.e. Interpret multiplication as scaling (resizing). (CCSS: 5.NF.5)
5.1.4.e.i. Compare 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. (CCSS: 5.NF.5a)

5.1.4.e.ii. Apply the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1. (CCSS: 5.NF.5b)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

5.1.4.f. Solve real world problems involving multiplication of fractions and mixed numbers. (CCSS: 5.NF.6)
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

5.1.4.g. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. (CCSS: 5.NF.7a)

5.1.4.h. Interpret division of a whole number by a unit fraction, and compute such quotients. (CCSS: 5.NF.7b)
5.1.4.h.i. Solve real world problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions. (CCSS: 5.NF.7c)

## CO.5.2.Patterns, Functions, and Algebraic Structures

Patterns, Functions, and Algebraic Structures
5.2.1. Number patterns are based on operations and relationships. Students can:
5.2.1.a. Generate two numerical patterns using given rules. (CCSS: 5.OA.3)
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

## CO.5.4.Shape, Dimension, and Geometric Relationships

Shape, Dimension, and Geometric Relationships
5.4.1. Properties of multiplication and addition provide the foundation for volume an attribute of solids. Students can:
5.4.1.a. Model and justify the formula for volume of rectangular prisms. (CCSS: 5.MD.5b)
5.4.1.a.i. Model the volume of a right rectangular prism with whole number side lengths by packing it with unit cubes. (CCSS: 5.MD.5b)
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

5.4.1.a.iii. Represent threefold whole-number products as volumes to represent the associative property of multiplication. (CCSS: 5.MD.5a)
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

5.4.1.b. Find volume of rectangular prisms using a variety of methods and use these techniques to solve real world and mathematical problems. (CCSS: 5.MD.5a)
5.4.1.b.i. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. (CCSS: 5.MD.4)
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

5.4.1.b.ii. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths. (CCSS: 5.MD.5b)
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

5.4.2. Geometric figures can be described by their attributes and specific locations in the plane. Students can:
5.4.2.a. Graph points on the coordinate plane to solve real-world and mathematical problems. (CCSS: 5.G)
Flip Charts Shape Up
Vocabulary Terms Plot Points
Vocabulary Terms Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points

5.4.2.b. 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. (CCSS: 5.G.2)
Flip Charts Shape Up
Vocabulary Terms Plot Points
Vocabulary Terms Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points

5.4.2.c. Classify two-dimensional figures into categories based on their properties. (CCSS: 5.G)
5.4.2.c.i. Explain that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. (CCSS: 5.G.3)
Flip Charts Dot to Dot
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

5.4.2.c.ii. Classify two-dimensional figures in a hierarchy based on properties. (CCSS: 5.G.4)
Flip Charts Dot to Dot
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter