Proportions

Practice 5 items →

Direct proportion is a line through the origin; inverse proportion is a hyperbola with xy constant. Students recognize each from a table (constant ratio versus constant product), find k, and fill a missing value.

Specification · for a parent or teacher

Part no.: direct-inverse-proportion
Course: Advanced Math 7 · Unit 14
Realm: Change
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

$y=kx$ and $y=\frac{k}{x}$ ; recognize each from a table (constant ratio vs constant product); solve by unitary, fraction, or algebra.

Ready when

a table is classified correctly, $k$ is found, and one missing value is filled.

Formulas

Direct

y = kx

Inverse

y = \frac{k}{x} \iff xy = k

Watch for

inverse graphed as a line; “twice $x$ , twice $y$ ” said of an inverse situation.

Before · requires

Coordinates and linear graphsslope-linear-graphs · Math 7
Ratiosratios-grade6 · Math 6

After · used by

Relations and functionsfunction-foundations · Math 1

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