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What Is Slope?
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What Is Slope?

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Subject Math — Algebra
Grade Level Grades 8-9
Standards Alignment
Common Core State Standards

About This Lesson

This lesson introduces slope as the ratio of vertical change (rise) to horizontal change (run) between two points on a line. Students use real-world examples such as the steepness of staircases to see how slope measures the steepness and direction of a line, then calculate and interpret slope in context. The lesson plan includes learning objectives, prerequisite skills, key vocabulary with multimedia links, three warm-up options, worked examples, a review, a 10-question quiz, and an answer key. Aligned to CCSS 8.EE.B.5, 8.EE.B.6, and HSF.IF.B.6. Free from Media4Math; no login required.

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Standards

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
Use similar triangles to explain why the slope ? is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation ? = ?? for a line through the origin and the equation ? = ?? + ? for a line intercepting the vertical axis at ?.
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

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