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.

Number and Operations in Base Ten Understand place value.

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.

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.

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.

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.

Measurement and Data 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.

Represent and Interpret Data 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. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers wereredistributed equally.

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

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.

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 in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

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).

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.

Classify 2-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.

Number and Operations – Fractions Standards 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.)

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. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

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.

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

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.

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 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.

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) × 4 = 1/3.

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 × (1/5) = 4.

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?

## Common Core Resources - Math Grade 5

Operations and Algebraic ThinkingWrite and Interpret numerical Expressions5.OA.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.Web ResourcesMathScore.com CCSS Math Standards and Practice – choose a standard

Mr. Wolfe’s IWB Games – All Standards

Learn Zillion – Lessons and Videos – all standards

Illustrative Mathematics – Covers all standards

**IXL Math Practice**

Printable Worksheets

Target Number Dash

Numerical Expressions Clock

iPad Apps5th Grade Splash Math CCSS Worksheets

Bubble Combo Math App

iTooch Elementary School Math App

Futaba Classroom Games

Math Bingo

5th Grade Math Test Prep

Factor Samurai App

Math Evolve

Chicken Coop Fractions

Hooda Math – Games

Hooda Math - Apps

5.OA.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.Printable Worksheets

Verbal Expressions

XP Math Games – Order of Operations

XP Games – Call of Hierarchy

Analyze Patterns and Relationships5. OA.3Generate 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.Web Resources**IXL Math Practice**

**Printable Worksheets**

Function Table and Graph Template

Function Table and Coordinate Plane Paper

Addition on the Coordinate Plane

Subtraction on the Coordinate Plane

Number and Operations in Base TenUnderstand place value.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.Printable Worksheets

Comparing Digits

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.Web Resources**IXL Math Practice**

Printable Worksheets

**Multiplying a Whole Number by a Power of 10**

**Multiplying a Decimal by a Power of 10**

**Dividing a Whole Number by a Power of 10**

**Dividing a Decimal by a Power of 10**

Multiplying Decimals – Game

Decimals Jeopardy Game

5.NBT.3. Read, write, and compare decimals to thousandths.Printable Worksheets

Representing Decimals with Base 10 Blocks

Representing Decimals in Different Ways

Hunt for Decimals

Decimal Place Value Chart (to thousandths)

5.NBT.4. Use place value understanding to round decimals to any place.**Printable Worksheets**

Rounding Decimals to the Nearest Hundredth

Perform operations with multi-digit whole numbers and with decimals to hundredths5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.Web Resources**IXL Math Practice**

Printable Worksheets

Make the Largest ProductMake the Smallest Product

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.Printable Worksheets

Division Strategy: Partial Quotients (3)

Division Strategy: Partition the Dividend

Division Strategy: Multiplying Up Estimating Quotients

Creating and Solving a Division Problem

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.Printable Worksheets

Decimals of the Week Use as morning work or for homework!

Base 10 Pictures with Decimals

Base 10 Buildings with Decimals

Base 10 Decimal Bag Addition

Base 10 Decimal Bag Subtraction

Total Ten

Decimal Cross Number Puzzles

Decimal Subtraction Spin

Decimal Addition to 500

Decimal Addition Bingo

Decimal Race to Zero

Decimal Magic Triangle

Magic Squares (adding decimals)

Measurement and DataConvert 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.Printable Worksheets

Represent and Interpret Data5.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. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers wereredistributed equally.Printable Worksheets

Converting Mixed Numbers to Improper Fractions

Multiplying Fractions by Whole Numbers

Multiplying Fractions Game

Football Math – Fractions

Baseball Math – Simplifying Fractions

Geometric measurement: understand concepts of volume and relate volume to multiplication and addition5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.Web Resources**IXL Math Practice**

Printable Worksheets

Minecraft Volume Game

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

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

Coins Mystery Game

GeometryGraph points on the coordinate plane to solve real-world and mathematical problems5.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).Printable Worksheets

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.Printable Worksheets

Classify 2-Dimensional figures into categories based on their properties5.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.Printable Worksheets

5.G.4. Classify two-dimensional figures in a hierarchy based on properties.Call of Geometry Game

Printable Worksheets

Number and Operations – Fractions StandardsUse 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.)**Printable Worksheets**

**Creating Equiv. Fractions to Add Unlike Fractions**

**Creating Equiv. Fractions to Subtract Unlike Fractions** **Fraction Word Problems (unlike denominator)**

**Adding Mixed Numbers with Unlike Denominators**

**Subtracting Mixed Numbers with Unlike Denominators**

**Closest to 25**

**Magic Squares (adding fractions)**

**Mixed Number Sum**

**Mixed Number Difference**

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. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.Printable Worksheets

Using Equivalent Fractions to Subtract Fractions

Addition Word Problems with Fractions

Subtraction Word Problems with Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions5.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.Printable Worksheets

Relating Fractions to Division Problems

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

Multiplying Fractions by Dividing Rectangles

Fraction x Fraction Word Problems

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

Multiplication and Scale Problems

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.Printable Worksheets

Fraction x Mixed Number Word Problems

Whole Number x Mixed Number Models

Mixed Number x Fraction Models

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

Divide a Unit Fraction by a Whole Number