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# New Jersey Common Core Standards Fifth Grade Mathematics resources

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Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

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).

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 Graphs and Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points

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.

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

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

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.G.4. Classify two-dimensional figures in a hierarchy based on properties.

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

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

5.MD.3.a. A cube with side length 1 unit, called a ''unit cube,'' is said to have ''one cubic unit'' of volume, and can be used to measure volume.

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.MD.3.b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

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.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

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.MD.5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

5.MD.5.a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

5.MD.5.b. Apply the formulas V = l x w x h and V = b x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized 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.

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

Number and Operations in Base Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

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.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.

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 Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

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.

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

Understand the place value system.

5.NBT.1. Recognize 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.

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts Math Grade 4

Flip Charts Math Grade 6

Flip Charts Numbers & Operations

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 Compare and Order Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Trillions

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 10.

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.NBT.3. Read, write, and compare decimals to thousandths.

5.NBT.3.a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.92 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

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.NBT.3.b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <. symbols to record the results of comparisons.

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.NBT.4. Use place value understanding to round decimals to any place.

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding

Number and Operations--Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a / b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

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.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

5.NF.4.a. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q / b. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.)

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.NF.4.b. 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. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

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.NF.5. Interpret multiplication as scaling (resizing), by:

5.NF.5.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.

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.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.

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.NF.7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

5.NF.7.a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) / 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) / 4 = 1/12 because (1/12) x 4 = 1/3.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

5.NF.7.b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 / (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 / (1/5) = 20 because 20 x (1/5) = 4.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

5.NF.7.c. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

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. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

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 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

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