Embedded Files
7th Grade Math
Scroll down for Practice & Games, Unit Objectives and Learning Standards
Scroll down for Practice & Games, Unit Objectives and Learning Standards
Unit 4 Topics
Unit 4 Topics
Unit Rates
Direct Variation
Proportionality on Graphs
Percent Applications
Click below for @HomeTutor from the 7th Grade Mathematics Textbook:
Click below for @HomeTutor from the 7th Grade Mathematics Textbook:
You can find videos, practice problems, vocabulary flip cards and extra help here.
You can find videos, practice problems, vocabulary flip cards and extra help here.
Discovery Ed.
Discovery Ed.
Activities that will help you practice the material in this unit
Activities that will help you practice the material in this unit
The following sections have Unit Objectives and Student Learning Standards for this Unit
The following sections have Unit Objectives and Student Learning Standards for this Unit
Unit Objectives:
- Compute unit rates with ratios made up of fractions.
- Apply concept of unit rate to problem solve.
- Discover whether ratios are proportional by using a table or a graph.
- Identify the constant of proportionality.
- Relate the constant of proportionality to unit rate.
- Use equations to represent proportional relationships.
- Understand what the points on a graph of a proportional relationship mean in terms of the context.
- Recognize what (1, r) on a graph represents, where r is the unit rate.
- Solve multi-step percent word problems that include tax, discount, commission, and simple interest.
- Find the solution to multi-step ratio word problems.
- Solve problems that involve percent error.
New Jersey Student Learning Standards for this Unit:
NJSLS.7.RP.A.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.
NJSLS.7.RP.A.2 Recognize and represent proportional relationships between quantities.
7.RP.A.2.A Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
7.RP.A.2.B Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.A.2.C Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
7.RP.A.2.D Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
NJSLS.7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error
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