The 5th Grade Skills below are based on the Common Core Standards For Mathematics. You can find out more about the Common Core Standards here.

You will also find a listing of related math resources (worksheets, charts, etc) here.

**Note: Math standards and curricula can vary by location or school. Check with your child’s school to determine what 5th grade math skills are expected in your location.**

## Operations & Algebraic Thinking

## Evaluating and using parentheses, brackets, and braces to define the order of operations in numeric expressions.

The listing of worksheets and other math resources below are related to the following standard extracted from the *Common Core Standards For Mathematics*:

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

### Example/Guidance

### Worksheet

- Identifying & Adding Parentheses – Pre-assessment
- Evaluating Expressions Worksheet – Practice
- Evaluating Expressions – Post-assessment (10 questions)
- Order of Operations in Expressions – Pre-assessment
- Evaluating Expressions – Post-assessment (10 questions)

## Writing and understanding the meaning of simple expressions with numbers.

e.g. 4 x (4 + 3) and 5 x (1682 + 976)

The listing of worksheets and other math resources below are related to the following standard extracted from the *Common Core Standards For Mathematics*:

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.*

### Example/Guidance

### Worksheet

- Order of Operations – Pre-assessment
- Writing Simple Expressions – Post-assessment (10 questions)

## Creating two different rule-based number patterns, recognizing and explaining relationships between the patterns, and creating and graphing the resultant ordered pairs.

The listing of worksheets and other math resources below are related to the following standard extracted from the *Common Core Standards For Mathematics*:

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. *For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.*

**Chart**

### Patterns and rules

- Customizable Pre-Algebra T-Chart – You enter the values!

### Example/Guidance

### Number Patterns

### Worksheet

## Number & Operations in Base Ten

## Understanding place value and knowing that each place represents 10 times that of the place to its right and one tenth of the place to its left.

## Understanding and using powers of ten (e.g. 103 = 10 x 10 x 10) and describing the effect on the number of zeros or the location of the decimal point when multiplying or dividing by powers of ten.

*Common Core Standards For Mathematics*:

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.

**Chart**

### Place Value Charts

- Place Value Chart For Wall Display – Landscape (22 Pages)
- Place Value Chart For Wall Display – Portrait (22 Pages)
- Place Value Chart For Wall Display – A5-size (17 Pages)
- Place Value Chart: To Quadrillions

### Example/Guidance

**Worksheet**

### Worksheet Generator

- Multiplying Decimals Worksheet Generator (inc. with multiples of 10 and 100)

## Reading, writing and comparing decimals with tenths, hundredths, and thousandths.

*Common Core Standards For Mathematics*:

Read, write, and compare decimals to thousandths.

1. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

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

**Chart**

### Place Value Charts

### Example/Guidance

- Comparing Decimals
- For Decimal Numbers
- For Decimal Numbers: Tenths
- For Decimal Numbers: Hundredths
- For Decimal Numbers: Thousandths

**Game**

### Build The Answer Games

- Comparing Decimals To Thousandths (using <, >, & = symbols)

### Matching Game

### Worksheet

- Representing Decimals with Place Value Blocks
- Comparing/ Sequencing Decimals Tenths and Hundreds
- Comparing/ Sequencing Decimals Hundredths and Thousandths
- Comparing & ordering decimals
- Identifying & writing decimals – tenths
- Identifying & writing decimals – hundredths
- Identifying & writing decimals – thousandths
- Thousandths to Decimals e.g. 487/1000 = .487
- Decimals to Fractions (2 of 3) e.g. tenths, hundredths, thousandths, with simplifying
- Decimals to Fractions (3 of 3) e.g. 3.75 = 3 3/4

## Rounding decimals to any place.

*Common Core Standards For Mathematics*:

Use place value understanding to round decimals to any place.

### Example/Guidance

- Lesson on how to round decimals (to nearest whole number, tenth, & hundredth)

**Game**

### Matching Game

- Rounding To The Nearest Whole Number
- Rounding To The Nearest Tenth
- Rounding To The Nearest Hundredth

### Quiz

- Rounding Decimals e.g. 3.234 to nearest hundredth

### Worksheet

- Rounding decimals to the nearest whole number
- Rounding decimals to the nearest tenth
- Rounding decimals to the nearest hundredth

### Worksheet Generator

- Rounding Decimals Nearest whole unit, tenth, hundredth, and/ or thousandth.

## Multiplying multi-digit whole numbers.

*Common Core Standards For Mathematics*:

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

### Example/Guidance

### Worksheet

- 3 x 2-digit e.g. 234 x 36
- 4 x 2-digit e.g. 5316 x 28
- 3 x 3-digit e.g. 829 x 115
- 4-digit x 2-digit e.g. 3423 x 47

### Worksheet Generator

- Multiplication (multi-digit) inc. by multiples of 10 and of 100

## Dividing up to 4-digit numbers by up to 2-digit numbers. e.g. 5638 ÷ 34

*Common Core Standards For Mathematics*:

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.

### Lesson

- How to do long division (Animated mini-lesson)

### Worksheet

- 2-digit by 2-digit e.g. 78 ÷ 14
- 3-digit by 2-digit e.g. 448 ÷ 34
- 4-digit by 2-digit e.g. 5378 ÷ 27

### Worksheet Generator

## Adding, subtracting, multiplying, and dividing decimals with tenths and hundredths.

*Common Core Standards For Mathematics*:

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.

### Example/Guidance

### Summary

- Working with Decimals

### Worksheet

- Adding & Subtracting Decimals (5 pages inc. with whole numbers)
- Subtracting Decimals e.g. 4.234 – 3.438
- Subtracting Decimals e.g. 6.892 – 3.2
- Multiplying Decimals e.g. .4 x .6
- Multiplying Decimals e.g. .44 x 7.3
- Multiplying Decimals e.g. 6.004 x 100
- Multiplying Decimals e.g. 5.587 x .65
- Dividing Decimals e.g. 3.67 ÷ 7
- Dividing Decimals e.g. 86 ÷ .007
- Dividing Decimals e.g. 86 ÷ .007
- Adding Decimals e.g. 3.563 + 6.451
- Adding Decimals e.g. 3.754 + 2.1

### Worksheet Generator

- Multiplying Decimals Worksheet Generator (inc. with multiples of 10 and 100)
- Decimals Worksheet Generator
- Dividing Decimals Worksheet Generator

## Number & Operations—Fractions

## Adding and subtracting fractions and mixed numbers with different denominators by generating and using using common denominators.

*Common Core Standards For Mathematics*:

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.)*

### Calculator

- Fraction calculator

### Example/Guidance

### Lesson

### Worksheet

- Adding Fractions Graphically
- Adding Fractions (different denominator) e.g. 2/3 + 1/4
- Adding Mixed Numbers (different denominator) e.g. 5 1/8 + 6 2/5
- Subtracting Fractions (different denominator) e.g. 2/3 – 1/4
- Subtracting Mixed Numbers (different denominator) e.g. 6 1/8 – 6 2/5

### Worksheet Generator

- Fraction Worksheet Generator inc. adding, subtracting, multiplying, dividing
- Improper Fractions to Mixed Numbers Generator (and vice-versa)

## Solving word problems requiring the adding and/ or subtracting of fractions with different denominators.

## Understanding a fraction as being the division of the numerator by the denominator and using this to solve word problems.

## Multiplying fractions by fractions and by whole numbers.

*Common Core Standards For Mathematics*:

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

1. 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.)*

2. 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.

### Calculator

- Fraction calculator

### Example/Guidance

### Worksheet

- Multiplying Fractions e.g. 4/7 x 3/4
- Multiplying Fractions & Mixed Numbers e.g. 4 x 3 6/7
- Multiplying Mixed Numbers e.g. 4 2/3 x 5 3/8

### Worksheet Generator

- Fraction of a Whole Number
- Fraction Worksheet Generator inc. adding, subtracting, multiplying, dividing

## Recognizing multiplication as a form of scaling and describing why multiplication by a fraction greater than one produces a greater number and why multiplication by a fraction less than one produces a lesser number

## Multiplying fractions and mixed numbers to solve word problems.

## Dividing fractions by whole numbers and dividing whole numbers by fractions and, in doing so, solve real-world word problems.

*Common Core Standards For Mathematics*:

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

1. 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.*

2. 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.*

3. 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?*

### Example/Guidance

## Measurement & Data

## Converting between larger and smaller units of measurement (e.g. 30m = 0.03 km) and solving multi-step word problems by doing so.

*Common Core Standards For Mathematics*:

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.

**Worksheet**

### 24 Hour Clock

- Telling Time: 24 Hour Clock (1 of 2) e.g. identify afternoon times from clock face
- Telling Time: 24 Hour Clock (2 of 2)
- 12 Hour to 24 Hour Clock Conversion (1 of 2) e.g.3:15 p.m. is 15:15
- 12 Hour to 24 Hour Clock Conversion (2 of 2)
- 24 Hour to 12 Hour Clock Conversion (1 of 2) e.g.16:40 is 4:40 p.m.
- 24 Hour to 12 Hour Clock Conversion (2 of 2)
- Converting Between the 24 Hour & 12 Hour Clock e.g. mixed conversions

### Converting Metric Units

## Displaying measurement data with fractions on a line plot and solving related problems.

## Understanding volume as it relates to solid figures and recognizing and using one cubic unit to measure volume.

*Common Core Standards For Mathematics*:

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

1. 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.

2. 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.

**Example/Guidance**

### Shapes and Figures

### Volume

### Worksheet

- Finding Volume in Cubic Units – rectangular prisms and composites

## Measuring volume by determining the number of cubic units.

*Common Core Standards For Mathematics*:

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

**Worksheet**

### Volume

- Finding Volume in Cubic Units – rectangular prisms and composites

## Solving real world problems with volume by using multiplication and addition and formulas e.g. V = l x w x h

*Common Core Standards For Mathematics*:

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

1. 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.

2. 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.

3. 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.

**Worksheet**

### Volume

- Volumes of Rectangular Prisms
- Volumes of Rectangular Prisms
- Volumes of “Real-world” objects e.g. of cereal boxes
- Finding Volume in Cubic Units – rectangular prisms and composites

## Geometry

## Plot ordered pairs on a coordinate system with x and y-axis.

*Common Core Standards For Mathematics*:

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).

**Example/Guidance**

### Coordinate Geometry

### Worksheet

- Identifying X-Y Coordinates – based on coordinates shown on 0 to +10 grid ( 1 of 10)
- Identifying X-Y Coordinates – based on coordinates shown on 0 to +10 grid ( 2 of 10)
- Plotting X-Y Coordinates – for coordinates shown on a 0 to +10 grid ( 3 of 10)
- Plotting X-Y Coordinates – for coordinates shown on a 0 to +10 grid ( 4 of 10)
- Navigating a Number Line : foundation/ pre-assessment questions
- The Coordinate Graphing System : foundation questions about x and y-axes
- Printable Graph Paper Generator
- X-Y Coordinates – blank grid from 0 to 10 on x and y axes

## Graphing and interpreting points plot on the first quadrant of a coordinate grid.

*Common Core Standards For Mathematics*:

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.

**Example/Guidance**

### Coordinate Geometry

### Worksheet

- Coordinate Graphing 1 : creating and plotting ordered pairs
- Coordinate Graphing 2 : creating and plotting ordered pairs
- Plotting Polygons & Finding Lengths :3-page with triangles and quadrilaterals

## Recognizing that some categories of shape are also sub-categories of other shapes. e.g. squares are also rectangles and exhibit the same defining attributes (having 4 right angles)

*Common Core Standards For Mathematics*:

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.

**Example/Guidance**

### Shapes and Figures

### Worksheet

- Quadrilaterals (1 of 2)
- Quadrilaterals (2 of 2)

## Classifying 2-D shapes in a property-based hierarchy.

Browse for skills and worksheets at other grade levels by clicking in the table below.