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5th Grade Skills in Math

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

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

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

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.

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Example/Guidance

Worksheet

Worksheet Generator

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Game

Build The Answer Games

Matching Game

Worksheet

Rounding decimals to any place.

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

Use place value understanding to round decimals to any place.

Example/Guidance

Game

Matching Game

Quiz

Worksheet

Worksheet Generator

Multiplying multi-digit whole numbers.

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

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

Example/Guidance

Worksheet

Worksheet Generator

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Worksheet

Worksheet Generator

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Worksheet Generator

Number & Operations—Fractions

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Worksheet Generator

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.

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Worksheet Generator

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.

The listing of worksheets and other math resources below are related to the following standard extracted from the 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.

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

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.

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Measuring volume by determining the number of cubic units.

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

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

Worksheet

Volume

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

Geometry

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

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

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

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)

The listing of worksheets and other math resources below are related to the following standard extracted from the 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

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

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