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5th Grade Math

Washington 5th Grade Math Curriculum

Video lessons and practice for every 5th grade math topic. Aligned to Washington State K-12 Mathematics Standards so your child keeps up with class.

Washington 5th Grade Math Curriculum | StudyPugHelp

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ID

Standard

StudyPug Topic

5.OA.A.1

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

5.OA.A.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

5.OA.B.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.

5.NBT.A.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.A.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.A.3

Read, write, and compare decimals to thousandths.

5.NBT.A.4

Use place value understanding to round decimals to any place.

5.NBT.B.5

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

5.NBT.B.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.

5.NBT.B.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.

5.NF.A.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.

5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.

5.NF.B.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

5.NF.B.4

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

5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers.

5.NF.B.7

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

5.MD.3

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

5.G.1

Use a pair of perpendicular number lines, called axes, to define a coordinate system.

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.

5th Grade Math in Washington State

Washington 5th graders follow the Washington State K-12 Mathematics Standards, which cover a wide range of topics from numerical expressions and place value to geometry and data analysis. StudyPug covers every one of these standards with clear video lessons and practice problems students can access anytime.

Key Topics in Washington 5th Grade Math

  • Algebraic Thinking: Students write and evaluate numerical expressions using parentheses, brackets, and braces, and generate patterns using given rules.
  • Place Value and Decimals: Understanding how digits shift in value by powers of 10, reading and writing decimals to the thousandths, and rounding decimals to any place.
  • Operations with Whole Numbers and Decimals: Multiplying multi-digit whole numbers, dividing with up to four-digit dividends, and performing all four operations with decimals to the hundredths.
  • Fractions: Adding and subtracting fractions with unlike denominators, multiplying fractions and mixed numbers, dividing unit fractions by whole numbers, and solving real-world fraction word problems.
  • Measurement and Data: Converting measurement units, creating line plots with fractional measurements, and understanding volume through counting unit cubes and applying formulas.
  • Geometry: Using coordinate planes, graphing points in the first quadrant, classifying two-dimensional figures, and understanding shape hierarchies based on properties.

How StudyPug Supports Washington 5th Grade Math

Every topic in the table above maps directly to the Washington State K-12 Mathematics Standards. Students can find the exact topic they're struggling with, watch a focused video lesson, and then practice with problems that mirror what they see in class. Parents and teachers can track progress as students work through each concept.

Washington 5th graders take the Smarter Balanced Assessment (SBA) in math. StudyPug's lessons cover all tested standards, so students aren't just keeping up with homework — they're building toward a stronger SBA result.

Building on 4th Grade, Preparing for 6th Grade

5th grade math is a critical bridge year. Students extend their understanding of place value and fractions from 4th grade while being introduced to algebraic thinking and coordinate geometry that will be central in 6th grade. StudyPug's lessons connect these ideas so students understand not just how to solve a problem, but why the method works.