Illustrative Mathematics
Illustrative Mathematics: 6.rp Gianna's Job
Students use ratios and rates to answer two questions in this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Overlapping Squares
Students use ratio and rate to answer this performance task: The data transfer rate of an Internet connection is the rate in bytes per second that a file can be transmitted across the connection. Data transfer is typically measured in...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Currency Exchange
Students use ratio and rate to answer this performance task: Joe was planning a business trip to Canada, so he went to the bank to exchange $200 U.S. dollars for Canadian dollars (at a rate of $1.02 CDN per $1 US). On the way home from...
Illustrative Mathematics
Illustrative Mathematics: 7.rp,ee Gotham City Taxis
The purpose of this task is to give students an opportunity to solve a multi-step ratio problem that can be approached in many ways. The site includes a task and the solution.
Illustrative Mathematics
Illustrative Mathematics: 6.ee,rp 7.ee,rp Anna in d.c.
The purpose of this task is to give students an opportunity to solve a multi-step percentage problem that can be approached in many ways. Because the tax and tip in this problem are a fixed percentage of the cost of the meal, the total...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Two, Variation 2
Students use ratios to solve the following performance task: John and Will ran for 6th grade class president. There were 36 students voting. John got two votes for every vote Will got. How many more votes did John get than Will?
Illustrative Mathematics
Illustrative Mathematics: 7.rp Sore Throats, Variation 1
A performance task asking students to choose and apply an appropriate equation to determine an equivalent ratio for two salt and water mixtures.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Sore Throats, Variation 2
For this task where two saltwater solutions are compared, 8th graders must find equivalent ratios, write an equation that works for both solutions, draw the equation's graph, and interpret the slope as a unit rate. Aligns with 8.EE.B.5.
Learning Wave Communications
Learning Wave: Fractions
This resource contains information about fractions and includes ratios, equivalent fractions, basic operations, and reciprocals. Several links for practice problems are also included, along with links to a post and pretest.
Common Core Sheets
Common Core Sheets: Ratios and Proportional Relationships 7.rp.2b Worksheets
Print or create worksheets or flashcards to assess students' understanding of the constant of proportionality.
Common Core Sheets
Common Core Sheets: Ratios and Proportional Relationships 7.rp.2d Worksheets
Print or create worksheets or flashcards to assess students' understanding of graphs and the significance of x and y in relation to proportionality.
Social Science Education Consortium
Ssec: Employment Unemployment: How Can Both Rates Rise at the Same Time? [Pdf]
In this investigation, students are asked to explain a Wall Street Journal (WSJ) announcement about unemployment, and look for a contradiction in the message. Then they are introduced to the definitions of employment, unemployment, and...
Math2
Math2.org: Series Convergence Tests
This is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.
Science Buddies
Science Buddies: Gears Go Round!
Music boxes, bicycles, and clocks all have one thing in common: GEARS. You might say that gears make the world turn, since they are in so many mechanical instruments. How do they work and how do you know which gears to use? Find out in...
CK-12 Foundation
Ck 12: Interactive Geometry: 9.6 Density Problems
Density is a ratio of the mass/people/things to volume/area. Given the density and one of the two quantities in the ratio, solve for the other quantity in the ratio.
Khan Academy
Khan Academy: Proportional Relationships
Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
CK-12 Foundation
Ck 12: Interactive Geometry: 17.4 Inverse Trigonometric Ratios
Define the trigonometric ratios in terms of ratios of the sides of a right triangle.
Khan Academy
Khan Academy: Rates With Fractions: Practice
Practice computing rates associated with ratios of fractions or decimals. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Varsity Tutors
Varsity Tutors: Hotmath: Sequences and Series
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
CK-12 Foundation
Ck 12: Arithmetic: Proportions
[Free Registration/Login may be required to access all resource tools.] In this lesson students recognize proportions as a statement of equivalent ratios. Students examine guided notes, review guided practice, watch instructional videos...
Khan Academy
Khan Academy: Interpret Basic Exponential Functions
Find features of exponential functions of the basic form f(x)=a*r^x given their formula. Features in question are the initial value, the common ratio, and output-values that correspond to various input-values. Students receive immediate...
CK-12 Foundation
Ck 12: Measurement: Scale Distances or Dimensions
[Free Registration/Login may be required to access all resource tools.] Recognize unit scale as a ratio between units of measure of scale dimension to actual dimension.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Cooking With the Whole Cup
In this lesson plan, 7th graders use knowledge of ratios of fractions to solve the word problems.
CK-12 Foundation
Ck 12: Arithmetic: Proportions
[Free Registration/Login may be required to access all resource tools.] In this lesson students write proportions and then solve proportions by using equivalent rates. Students examine guided notes, review guided practice, watch...