Linear Equations Introduction

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: (1) Provide a context for slope and y-intercepts (2) Understand that linear functions have a constant rate of change and can be represented in multiple ways.

Prework

• Read the implementation guide for this 3 Act Math lesson

• Consider joining our free online workshop to explore 3 Act Math more in depth

• If possible, use big whiteboards and have each group member write with different colors

• Write pre-scripted questions for audience members to ask during presentations

Answer Keys

• Link to Answer Keys

Classwork

• 3 Act Math - Stacking Cups (Dan Meyer)

• Connection Handout

Standards

Common Core

• HSF.BF.A.1 – Write a function that describes a relationship between two quantities.

• HSF.LE.A.1.B – Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

• 8.F.A.3 – Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

• 8.F.B.4 – Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

TEKS

• A.2(C) – write linear equations in two variables given a table of values, a graph, and a verbal description

• A.3(C) – graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems