edTPA lesson plan
Slope as a rate of change
| Subject | Math | Grade | 8 |
|---|---|---|---|
| Date | Length | 50 minutes |
Central focus
Students understand linear relationships by connecting tables, graphs and equations, and interpreting slope as a rate of change in context.
Standards
CCSS.MATH.CONTENT.8.EE.B.5 (graph proportional relationships, interpreting the unit rate as the slope).
Learning objectives
Students will calculate the slope of a line from a graph and a table and interpret it as a rate in context (e.g. dollars per hour).
Prior academic learning and prerequisite skills
Unit rates, plotting points, reading tables. Some students still confuse x and y when describing change.
Academic language
Academic language: language function
Interpret: explain what the slope means in a real situation.
Academic language: vocabulary, syntax and discourse
Vocabulary: slope, rate of change, rise, run, per. Syntax: "For every ___, the ___ increases by ___." Discourse: justify with evidence from the graph.
Language supports
Sentence frame on the board; word wall with visuals; teacher models the language before students use it.
Lesson
Instructional strategies and learning tasks
| Time | Activity |
|---|---|
| 5 min | Launch: two babysitting job offers shown as a graph and a table. Which pays more per hour? |
| 12 min | Instruction: rise over run on the graph; change in y over change in x in the table; connect both to "dollars per hour". |
| 20 min | Structured practice: card sort matching graphs, tables and stories; pairs justify matches using the frame. |
| 8 min | Independent: two context problems. |
| 5 min | Closure: answer the launch question with evidence. |
Differentiation and planned supports
Whole class: frames and visual word wall. Small group: graph paper with axes labeled. Students with IEPs/504 plans: follow accommodations (extended time, reduced problem set). English learners: partner who shares a language where possible.
Assessment and evaluation criteria
Informal: listen to justifications during the card sort. Formal: exit problems. Meets the objective if the slope is correct and interpreted with units in context.
Materials and resources
Slides, card sort sets, graph paper, exit slips
Research and theory
Multiple representations deepen understanding of function; structured talk with sentence frames supports academic language development.
Planned time: 50 minutes of 50