Construct linear and exponential functions

Start lessonBegins with Construct from two points · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.LE.A.2

**HSF.LE.A.2**: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

What you'll learn

Construct a linear function from two input-output pairs using the slope formula and point-slope reasoning
Construct an exponential function from two input-output pairs by finding the common ratio and solving for the initial value
Read a table of values and determine whether the data represent a linear or exponential relationship
Write the equation of a linear or exponential function given a verbal description of constant additive or multiplicative change
Construct linear and exponential functions from a graph by identifying key features (slope, y-intercept, growth factor)
Connect arithmetic sequences to linear functions and geometric sequences to exponential functions, translating between sequence notation and function notation

Review first:

Slides

Step through the lesson, or watch it as a narrated video • 2 slide decks

Construct from two points

✓ Start here

Watch as video

Construct from graphs and descriptions

Watch as video

Practice

Try it on your own

Exercise

Practice problems, checked as you go

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