Overview

Task: Study and work through the following math lesson AND complete the Math Gathering Activity prior to Gathering.

Last week you started learning how to solve for an unknown variable in an equation. Learning to do this is the foundation for knowing how to answer real-life questions. It is important to remember that there is a story behind each equation, you just may not know the story yet. However, this week you will be introduced to solving for distance, rate, or time given two of the three variables for the distance formula. This is an example of solving for a variable to answer a real-life question.

Real-life Connection

Imagine you have a bicycle delivery business. How could you calculate your average speed on your bike? What information would you need in order to do this? Why would it be important to know how fast you can deliver a package compared to the distance you must go?

Math Instruction and Practice

This math lesson is broken into several mini-lessons, each containing a lot of material. Be sure to start early in the week in case you need extra time to study and practice. To save you time and quickly discover which concepts you need more help with, you may first take the W12 Math Exercises quiz. If you choose a wrong answer on any quiz question, you will receive feedback linking to lessons you can study to improve your skills in that area. You may take these quizzes as many times as you like until the due date in order to improve your score.

All the mini-lessons to help you improve your skills in this week's Math concepts are linked below, located in the PathwayConnect Resource Center. If you still need help after going through the available materials, there are suggestions at the bottom of each lesson page to get more help.

Solving for a Variable

Week 12 Math Gathering Activity

You have a bicycle delivery business and you need to deliver a package for a restaurant that offers delivery services. The restaurant needs you to deliver the package to a location 7.5 km away in less than $\frac{1}{3}$ hour. The average speed you can go on your bike is 28 kilometers per hour. Can you get the package there in less than $\frac{1}{3}$ hour? Hint: Use the equation Distance = Rate x Time and solve for time.

Check Answers

Use the equation Distance = Rate x Time
7.5 km = 28 kph(T) = [(28km)/1hr]T
7.5/28 hr= $T$
0.268 hr = $T$
$\frac{1}{3}$ = 0.33…
$T$ is less than $\frac{1}{3}$ hour so you should be able to deliver the package on time.