In this course, you'll understand linear functions by exploring real-world patterns where quantities change at a constant rate. You'll find rates of change from graphs and coordinates, work backward to discover initial values, and calculate the slope of a line based on two points. You'll graph lines with any slope and confidently work with linear relationships in multiple representations.

Explore the mathematical structure of marbles dropping into a glass of water.

Constant Change

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Points on a Line

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Increasing by One

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Removing Objects

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Decreasing Functions

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Nonlinear Functions

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Level Review

predicting values in linear relationships

Making Predictions

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Finding Rates of Change

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Rates from Points

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Initial Conditions

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Using Two Points

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Slope of a Line

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Change per One

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Identifying Slopes

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Graph a Line

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Computing Slopes

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Coordinates to Slope

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Putting it all together

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Identify linear patterns, find rates of change, and write equations to describe lines.

Use coordinates and the areas of shapes to derive Pythagoras' Theorem.

Linear Functions

Level 1Constant Change

Level 2

Level 3Slope of a Line

Coordinate Geometry

Course description