Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are included.
Curated OER
Solving Problems and Proportions
In this proportion worksheet, students read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
Curated OER
Proportionality, Ratios and Constant Variation
Students use Scion Image to estimate the proportion of space images. In this proportion lesson, students investigate the online site of Image of the Orbitor and relate the dimensions and sizes to known sizes.
Curated OER
Similar Triangles and Proportions
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
Curated OER
Ratios, Proportions and Percents
Fifth graders complete 3 activities centered around percents. In this ratios, proportions and percents activity, 5th graders create designs on grid paper that illustrate a variety of percents, solve percent problems mentally, and use...
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Curated OER
Writing Proportions-#3
In this proportions worksheet, students solve 7 word problems using proportion. A reference web site is given.
NTTI
If You Hopped Like a Frog
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
Curated OER
How Many Noses Are in Your Arm?
Middle schoolers apply concept of ratio and proportion to determine length of Statue of Liberty's torch-bearing arm. They view video of Statue of Liberty, determine how long statue's arm would be if its nose measures four feet six...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Curated OER
Mark, Recapture, Sampling
Learners conduct a simulation to explore how scientists estimate the size of animal populations. They analyze a random sample and then extrapolate those results to a larger population. Additionally, they will apply the principals of...
Curated OER
Pike Problems in Lake Davis
Pike fish pose a threat to native trout and catfish in lakes. Would you drain and poison a lake to get rid of the Pike fish? If the lake was drained and poisoned, then refilled and repopulated with trout and catfish, how would you...
Curated OER
Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
Curated OER
Rational Equations and Proportions
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
Utah Education Network (UEN)
Linear Graphs Using Proportions and Rates
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share...
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Our Solar System - Comparing Planetary Travel Distances
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
Curated OER
The Foundation of Math and Science
Students uncover the mathematical proportions as well as the history of the Parthenon. In this math and science lesson, students use research to find the contributions of ancient Greeks made to our current society. They explore the...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Curated OER
Proportional Problems 1
Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...
Curated OER
Proportions
Learners examine the mathematical concept of proportions in an attempt to apply them in various types of problems. The real application of proportions is often found in word problems which requires a them to also practice a systematic...
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