Grade 5 — Math

Common Core Aligned

Grade 5 — Math

Grade 5 Mathematics extends number operations to decimals and fractions with unlike denominators, introduces the coordinate plane and volume, and reinforces order of operations and numerical expressions — aligned to the Common Core State Standards.

Units & Topics Covered

5 units  ·  28 topics

Operations & Algebraic Thinking

  • Write and interpret numerical expressions using parentheses and brackets
  • Apply order of operations (PEMDAS) to evaluate expressions
  • Generate two numerical patterns using two given rules
  • Form and graph ordered pairs from two patterns
  • Analyse and describe relationships between corresponding terms

Number & Operations in Base Ten

  • Understand the place value system: powers of 10 and decimal place value
  • Read, write, and compare decimals to thousandths
  • Round decimals to any place
  • Fluently multiply multi-digit whole numbers
  • Find whole-number quotients with up to 4-digit dividends
  • Add, subtract, multiply, and divide decimals to hundredths

Fractions

  • Add and subtract fractions and mixed numbers with unlike denominators
  • Solve word problems involving adding and subtracting fractions
  • Interpret multiplication of a fraction as scaling
  • Multiply fractions and mixed numbers
  • Interpret division of whole numbers as fractions
  • Divide unit fractions by whole numbers and vice versa

Measurement & Data

  • Convert between measurement units within the same system
  • Create and interpret line plots with fractional data
  • Understand volume as the amount of space a 3D figure takes up
  • Find volume by counting unit cubes
  • Apply formulas V = l × w × h and V = B × h
  • Find volume of composite 3D figures

Geometry

  • Understand and use the coordinate plane (first quadrant)
  • Plot and interpret points as solutions to real-world problems
  • Classify 2D figures into a hierarchy based on properties
  • Understand that all rectangles are parallelograms, etc.
  • Describe properties of 3D shapes: faces, edges, and vertices
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