###### Mathematics Grade 7 [2011]
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Analyze proportional relationships and use them to solve real-world and mathematical problems.
1.
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

• Approximate unit rates from verbal descriptions
In this LearnZillion lesson, students will learn how to approximate unit rates from verbal descriptions and equations by estimating.
• Equations from Unit Rates
This lesson involves finding a linear equation and confirming the equation represents a proportional relationship with numeric values in ordered pairs or in functions tables.
• Find the best deal by comparing unit rates
In this lesson students will learn how to find the best deal by comparing unit rates.
• Find unit rates in situations involving fractions
In this LearnZillion lesson students will learn how to find unit rates in situations involving fractions by using division.
• Holes
After watching a clip of the movie Holes from Walt Disney Pictures students will answer a series of questions, such as "If Stanley and X-Ray both dig one hole per day for a year, how much extra dirt will Stanley have dug than X-Ray?" and "How many times could that extra dirt fill one of the holes X-Ray digs?"
• Ratios and Proportional Relationships Curriculum Guide
The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for Mathematics Grade 7 Cluster "Analyze Proportional Relationships and Use Them to Solve Real-World and Mathematical Problems." / Standards 1, 2 and 3.
• Scale recipes by applying unit rates
In this lesson students will learn how to scale recipes by applying unit rates.
• Using unit rates to interpret scale maps and scale models
In this LearnZillion lesson, students will learn how to apply scale maps and scale models by using unit rates.
• What's My Ratio?
In this lesson students investigate proportionality by using linear measurement. They also find the ratio between similar figures.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Office of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Office of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.

For more information about this core curriculum, contact the USOE Specialist, DIANA SUDDRETH or visit the Mathematics - Secondary Home Page. For general questions about Utah's Core Curriculum, contact the USOE Curriculum Director, Sydnee Dickson . UEN Contact Info: 801-581-2999 | 800-866-5852 | Contact Us