5th grade · Math
What a 5th grade student learns in Math
Develop and apply fluency with operations involving whole numbers, fractions, and decimals; analyze and solve a variety of problems using mathematical reasoning and the introduction of volume and coordinate graphing.
The skills for the year
- 1Write and interpret numerical expressions with grouping symbols (parentheses, brackets, braces)
- 2Understand the place value system for decimals to thousandths
- 3Perform multi-digit whole number division
- 4Add, subtract, multiply, and divide decimals to hundredths
- 5Add and subtract fractions with unlike denominators
- 6Multiply fractions and mixed numbers (including area models)
- 7Divide unit fractions by whole numbers and vice versa
- 8Interpret and solve word problems involving all operations with fractions and decimals
- 9Use equivalent fractions as a strategy to add and subtract fractions
- 10Understand and convert measurement units within a given system
- 11Represent and interpret data using line plots with fractional measurements
- 12Develop and apply understanding of volume as a measurement attribute of solids
- 13Calculate the volume of right rectangular prisms using appropriate formulas (V = l × w × h and V = B × h)
- 14Classify two-dimensional figures in a hierarchy based on properties
- 15Understand and locate points on a coordinate plane using ordered pairs (first quadrant)
- 16Graph and interpret real-world and mathematical problems on a coordinate grid
- 17Analyze patterns and relationships in numerical sequences
- 18Explain patterns in the number of zeros of products when multiplying by powers of 10
- 19Fluently multiply multi-digit whole numbers
- 20Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols
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