Proportions and percent applications
- constant of proportionality
- scale drawings
- percent change
- multi-step rates
Grade 7 · typical sequence
Grade 7 proportional reasoning
Use proportional relationships and signed arithmetic to solve equations, geometry, and probability problems.
Rational operations and equations
- signed rational arithmetic
- equivalent expressions
- equations and inequalities
Geometry, sampling, and chance
- circles and angles
- surface area and volume
- probability models
- sample inference
Practice inventory
16 deterministic activities are available now.
Find a rate with fractions
Divide fractional quantities to express an amount per one unit.
Identify a proportional relationship
Check for a constant ratio and a graph through the origin.
Write a proportional equation
Use the constant of proportionality in an equation of the form y = kx.
Solve a percent-change problem
Use the original quantity as the percent-change reference.
Add and subtract signed numbers
Model direction and distance while combining signed quantities.
Multiply and divide signed numbers
Use sign relationships and magnitude separately.
Rewrite an expression
Use distribution and combining like terms without changing value.
Solve a multi-step equation
Undo distribution and combine like terms while preserving equality.
Solve an inequality
Reverse the comparison only when multiplying or dividing by a negative.
Use a scale drawing
Apply a scale factor consistently to corresponding lengths.
Find circle measures
Distinguish radius, diameter, circumference, and area.
Use angle relationships
Use complementary, supplementary, vertical, and adjacent relationships.
Solve a solid-measure problem
Choose and apply the measure appropriate to a three-dimensional situation.
Reason from a sample
Judge whether a sample can represent a population and interpret its estimate cautiously.
Find a simple probability
Compare favorable equally likely outcomes with all possible outcomes.
Find a compound probability
Use organized lists or trees to count multistage outcomes.