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# Colorado Standards Fifth Grade Mathematics resources

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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

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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 Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts Box It Up

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Place Value - Understanding Numbers

Flip Charts Place Value - Understanding Numbers

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)

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)

Flip Charts Customary & Metric Units of Measurement

Flip Charts Customary & Metric Units of Measurement

Flip Charts Math Grade 4

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)

Flip Charts Customary & Metric Units of Measurement

Flip Charts Customary & Metric Units of Measurement

Flip Charts Math Grade 4

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

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

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 Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Solving Equations

Flip Charts Solving Equations

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 Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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)

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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)

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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)

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)

Flip Charts Math Grade 6

Flip Charts Numbers & 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 Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Flip Charts Our Atmosphere

Flip Charts Triangle Tricks

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)

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)

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

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)

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

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)

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

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 Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

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)

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

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)

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

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)

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

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

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)

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Math Grade 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 Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Shape Up

Flip Charts The Coordinate Plane

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 Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Shape Up

Flip Charts The Coordinate Plane

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 Math Grade 4

Flip Charts Polygons

Flip Charts Polygons

Flip Charts Shape Up

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 Area & Circumference of Circles

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Dot to Dot

Flip Charts Math Grade 4

Flip Charts Math Grade 6

Flip Charts Polygons

Flip Charts Polygons

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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