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Grade 6 · typical sequence

Grade 6 ratios and variables

Move from arithmetic into ratios, rational numbers, variables, geometry, and distributions.

ratios

Ratios, rates, and percent

  • ratio language
  • unit rates
  • percent of a quantity
  • unit conversion
number algebra

Rational numbers and expressions

  • signed numbers
  • fraction division
  • expressions
  • one-variable equations
geometry statistics

Geometry and statistical distributions

  • area and surface area
  • volume
  • center and spread
  • data displays

Practice inventory

16 deterministic activities are available now.

Available

Describe a ratio

Describe how two quantities compare using an ordered pair of multiplicities.

Available

Complete a ratio table

Scale both quantities by the same factor and organize equivalent pairs.

Available

Find a unit rate

Divide both quantities to find an amount for one unit.

Available

Find a percent of a quantity

Connect percent, fractions with denominator 100, and multiplication.

Available

Divide fractions

Interpret fraction division through measurement and reciprocal multiplication.

Available

Find a GCF or LCM

Analyze factor and multiple structure without relying on isolated lists.

Available

Compare signed numbers

Use position and context to compare positive and negative quantities.

Available

Interpret absolute value

Separate a number's direction from its distance to zero.

Available

Plot in four quadrants

Interpret signs as horizontal and vertical directions from the origin.

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Evaluate whole-number exponents

Interpret an exponent as repeated multiplication of equal factors.

Available

Evaluate a variable expression

Substitute a value while preserving grouping and operation order.

Available

Solve a one-step equation

Use inverse operations while maintaining equality.

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Represent an inequality

Connect a boundary, strictness, and direction to infinitely many solutions.

Available

Find polygon area

Split triangles and quadrilaterals into familiar area models.

Available

Reason about prisms

Connect nets and layers to surface area and rectangular-prism volume.

Available

Describe a distribution

Use center, variability, and shape together to describe numerical data.