Shmoop University
Shmoop: Ratios & Percentages: Solving Proportions
Students learn how to solve proportions. The mathematics resource consists of examples and practice problems with answers.
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.
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.
CK-12 Foundation
Ck 12: Arithmetic: Tip Estimation
[Free Registration/Login may be required to access all resource tools.] In this lesson students estimate 15% of a total price to estimate tips. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Sophia Learning
Sophia: Weighted Average
This lesson will introduce the meaning of weighted average, and demonstrate how to solve for the weighted average of a data set. Students can look at a presentation and then take an online quiz.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Walk a Thon 2
The purpose of this task is for students to translate information about a context involving constant speed into information presented in a table and to find the time it takes to travel a unit distance as well as the distance traveled per...
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...
Illustrative Mathematics
Illustrative Mathematics: 7.rp,ee Gotham City Taxis
The purpose of this task is to give middle schoolers 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.
PBS
Pbs Learning Media: Cyberchase: Bianca Gets in Gear
Bianca visits a bike shop and learns how bicycle gears work in this Cyberchase video segment. [3:26]
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.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Converting Square Units
In this task, 6th graders must inches to feet in order to find the area of a rectangular board and explain the error in the calculations made by the board owner. Aligns with 6.RP.A.3.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Sore Throats, Variation 2
In 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: 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...
Saddleback College
Algebra2 Go: Prealgebra
The resource consists of comprehensive learning tools such as class notes, video lectures, and templates through which students can review prealgebra topics.
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.
ClassFlow
Class Flow: Balancing Chemical Equations
[Free Registration/Login Required] Students learn how to balance and interpret chemical equations and cover the law of definite proportions and mole ratios. Done in an engaging fashion. Assessment is paper written.
Discovery Education
Discovery Education: Architects in Action
Through this instructional activity, middle schoolers 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...
Other
Nikon Corporation: Feel Nikon: Universcale
Amazing site examines size from the most elementary particle to the extremities of space, and everything in between. This interactive feature will encourage you to look differently at your size in relation to the rest of the universe.
OER Commons
Oer Commons: Scale
Seventh graders will explore scale and use it to find measurements in scale drawings.
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.
TeachEngineering
Teach Engineering: Renew a Bead
A quantitative illustration of how non-renewable resources are depleted while renewable resources continue to provide energy. The activity requires students to remove beads (units of energy) from a bag (representing a country). A certain...
Sophia Learning
Sophia: Weighted Average
This lesson will introduce the meaning of weighted average, and demonstrate how to solve for the weighted average of a data set. Students can look at a presentation and then take an online quiz.
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