Shmoop University
Shmoop: Ratios & Percentages: Ratios & Proportions
Students learn about ratios and percentages in the tutorial. The mathematics resource consists of examples and practice problems with answers.
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.
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PBS
Pbs Teachers: Something Fishy [Pdf]
Estimate the size of a large population (fish in a bay) by applying the concepts of ratio and proportion through the capture-recapture statistical procedure.
University of South Florida
Fcat: Two for One Box Company: Teacher Notes
At this site learners use proportions to explore how volume is effected by dimension changes. This hands-on activity can be done individually or in pairs.
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Learning Ratios & Proportions Through Scale Drawings
Website which strengthens the conceptual connection between scale drawings and ratios through an activity lesson.
ClassFlow
Class Flow: Proportions
[Free Registration/Login Required] This lesson contains notes and examples for instructing how to solve proportions. Begins with relations to equivalent fractions, and then gets into solving algebraically using cross products. It...
University of Cambridge
University of Cambridge: Maths and Sports: Triathlon and Fitness
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories? This activity provides a real-life context for working with proportionality, speed, rates, and units of measurement and is aimed...
CK-12 Foundation
Ck 12: Arithmetic: Fractions as Percents Grade 7
[Free Registration/Login may be required to access all resource tools.] Write fractions as percents by using proportions and equal ratios.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Jim and Jesse's Money
In this real-world context, 6th graders are given the ratio of Jim's money to Jesse's and the amounts they have spent so far on a road trip, and they must calculate what each person had at the start of the trip. Aligns with 6.RP.A.3.
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.
Better Lesson
Better Lesson: Understanding Tape Diagrams
Using a tape diagram is one of the key models for ratios and proportions.
Common Core Sheets
Common Core Sheets: Rate Language 6.rp.2 Worksheets
Print or create worksheets or flashcards to assess students' understanding of ratio concepts.
Other
P.u.e.m.a.c.: Que Es La Razon Aurea?
Find out how to calculate the Golden Ratio in this exercise.
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: 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.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Tax and Tip
This site provides a problem with completed solutions for that problem. This problem covers the topic of sales tax and tips. The problem aligns with 7.RP.A.3.
National Council of Teachers of Mathematics
Nctm: Figure This: Vcr
This resource presents an interesting challenge for the serious mathematician with strong reasoning skills. Explore proportional reasoning, probabilities, fractions, and ratios in this challenge to figure out if you always get six hours...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Track Practice
Angel and Jayden were at track practice. The track is $\frac25$ kilometers around. Aligns with 7.RP.A.
ClassFlow
Class Flow: Math Ratio
[Free Registration/Login Required] The teacher will use this lesson plan flipchart to review simple problems.
Jim Loy
Jl's Math Page: The Golden Rectangle and the Golden Ratio
This is a personal site from Jim Loy that describes the golden rectangle and the golden ratio. Includes several diagrams and pictures as well as formulas. A good background in math is helpful.
CK-12 Foundation
Ck 12: Algebra: Ratio, Proportion, and Variation
[Free Registration/Login may be required to access all resource tools.] Understand direct and inverse variation.
Other
Desmos: Tile Pile
Students explore proportional relationships in this activity as they build a ratio table in order to project how many tiles would be needed to cover the area of a floor.
Discovery Education
Discovery Education: Architects in Action
Through this lesson, students will learn how to use ratios to create a scale drawing of their classroom's floor plan. It provides adaptations, discussion questions, assessment rubric, and suggested readings to help develop students'...
Other
Desmos: Put the Point on the Line
In this activity, students investigate slope and how it can be explained as a ratio of change between the vertical and horizontal coordinates.
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