Full 5th Grade Math
Knowledge Points & Study Guide

The full 5th Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions โ€” covering every CCSS standard for this grade.

Tip: every topic guide below is printer-friendly โ€” open a guide and choose "Print โ†’ Save as PDF" to generate a free worksheet.

Handbook Learning Route

Use this handbook to cover the full 5th Grade skill map

Grade 5 is the bridge into middle-school math. Students should operate with fractions and decimals confidently, understand volume and coordinate planes, use order of operations, and recognize patterns and shape hierarchies.

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5th Grade Knowledge Points

12 Topics ยท Common Core Aligned
  1. ๐Ÿ”„
    01

    Multi-Step Unit Conversions

    5.MD.A.1

    Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step problems.

    Conversion Factor Equivalent Measure Multi-Step Unit
  2. ๐Ÿ“
    02

    Coordinate Plane

    5.G.A.1

    Use a pair of perpendicular number lines, called axes, to define a coordinate system. Plot points in the first quadrant.

    x-axis y-axis Origin Ordered Pair Quadrant
  3. ๐Ÿ”ข
    03

    Decimal Place Value (Thousandths)

    5.NBT.A.3

    Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form.

    Thousandths Place Value Expanded Form Decimal Comparison
  4. ๐Ÿงฎ
    04

    Decimal Operations (+ โˆ’ ร— รท)

    5.NBT.B.7

    Add, subtract, multiply, and divide decimals to hundredths using concrete models and place-value strategies.

    Decimal Point Alignment Place Value Hundredths Estimate
  5. ๐Ÿ“Š
    05

    Line Plots (Fraction Data)

    5.MD.B.2

    Make a line plot to display a data set of measurements in fractions of a unit. Use operations on fractions to solve problems.

    Line Plot X-Mark Frequency Range
  6. โž—
    06

    Long Division (2-Digit Divisor)

    5.NBT.B.6

    Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.

    Dividend Divisor Quotient Partial Quotient Estimation
  7. โœ–๏ธ
    07

    Multiply & Divide Fractions

    5.NF.B.4

    Apply previous understandings of multiplication to multiply a fraction or whole number by a fraction; divide unit fractions by whole numbers and vice versa.

    Numerator ร— Numerator Denominator ร— Denominator Reciprocal Unit Fraction
  8. ๐Ÿ”ข
    08

    Order of Operations

    5.OA.A.1

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

    PEMDAS Parentheses Operator Precedence Brackets
  9. ๐Ÿ”
    09

    Number Patterns

    5.OA.B.3

    Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms.

    Pattern Rule Corresponding Terms Sequence Function
  10. ๐Ÿ”บ
    10

    Quadrilateral Hierarchy

    5.G.B.4

    Classify two-dimensional figures in a hierarchy based on properties.

    Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid
  11. โž•
    11

    Add Fractions (Unlike Denominators)

    5.NF.A.1

    Add and subtract fractions with unlike denominators by replacing them with equivalent fractions sharing a common denominator.

    Common Denominator Equivalent Fraction LCD Cross-Multiply
  12. ๐Ÿ“ฆ
    12

    Volume (Rectangular Prisms)

    5.MD.C.5

    Relate volume to the operations of multiplication and addition. Find volumes of right rectangular prisms with whole-number side lengths.

    Unit Cube Cubic Unit Length ร— Width ร— Height Base ร— Height

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