Step Up

A Linear Functions Task

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

What would you need to know to answer the questions?

• How many steps would it take you to walk the length of a football field?

• How many minutes would it take you to walk the length of a football field?

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

Find your quantities. Include units.

• _______________ distance walked (I will

determine the distance)

• _______________ time it took you to walk

that distance

• _______________ number of steps taken

when you walked that distance

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

What did we do yesterday?

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

CHALLENGE 1

• Determine your walking rate in feet per second.

• Determine your length in feet of your stride (distance between steps).

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

Function

Use your quantities and function notation to write a function that can be used to answer the questions.

Define any variables you use and the corresponding measurement units.

Find the domain and range of your functions.

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

OK? Or edit function?

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

Use Your Functions

• How many steps would it take you to walk the length of a football field?

• How many minutes would it take you to walk the length of a football field?

• How long would it take you to walk a mile?

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

Write all of your answers in function notation.

1. Find the distance you can walk in 12 seconds.

3. Find the distance you can walk in 12 steps.

5. How long would it take you to walk 100 feet?

2. Find the number of steps it would take you to walk 100 feet.

4. Find the distance you can walk in 7.5 seconds.

6. Find the distance you can walk in 7.5 steps.

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015

What else could we measure with our feet?

• Find 2 of them.

• Practice: Use your functions to find the time and distance for me to walk something at home.

Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative Commons Attribution 4.0 International License. 2014-2015