Ch. 1 Inquiry Lab - Unit Rates

1. HOW can you use a bar
diagram to solve a real-world
problem involving ratios?
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1

2. • 7.RP.1
Compute unit rates associated with ratios of fractions, including ratios of
lengths, areas and other quantities measured in like or different units.
• 7.RP.2
Recognize and represent proportional relationships between quantities.
• 7.RP.2b
Identify the constant of proportionality (unit rate) in tables, graphs,
equations, diagrams, and verbal descriptions of proportional relationships.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1 Common Core State Standards © Copyright 2010. National Governors Association Center
for Best Practices and Council of Chief State School Officers. All rights reserved.

3. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1
Activity 1
continued

When Jeremy gets his allowance, he agrees to save part of it. His
savings and expenses are in the ratio 7:5. If his daily allowance is
$3, find how much he saves each day.
Complete the bar diagram below by writing savings, expenses,
and $3 in the correct boxes.
--------------------- -------------------
Total amount
------------- ------------ =
(Daily Allowance)

4. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1
Activity 1
continued

When Jeremy gets his allowance, he agrees to save part of it. His
savings and expenses are in the ratio 7:5. If his daily allowance is $3,
find how much he saves each day.
Let x represent each part of a bar. Write and solve an equation
to find the amount of money each bar represents.
7x + x = 3 Write the equation.
12x = 3 There are 12 parts in all.
12x = 3 Division Property of Equality
x = or 0.25 Simplify.

5. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1
When Jeremy gets his allowance, he agrees to save part of it.
His savings and expenses are in the ratio 7:5. If his daily
allowance is $3, find how much he saves each day.
Determine the amount Jeremy saves each
day. Since each part of the bar represents
$0.25, Jeremy’s savings are represented by
7 x $ or $1.75
So, Jeremy saves $ each day.

6. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-1
HOW can you use a bar
diagram to solve a real-world
problem involving ratios?