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
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
Curated OER
A Matter of Proportion
Learners measure the relative heights of the mosaic giraffe and its trainer and compare their proportions to an actual giraffe and zoo trainer.
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Proportions
Students study proportions. In this mathematics lesson, students measure their body length, head length, and ratio of their body, write their findings on a group chart, and discuss how a person's head size or arm span are in proportion...
Curated OER
Are You a Golden Ratio?
Learners explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
Curated OER
Applications, Proportions, and Problem Solving
For this math worksheet, students find the solutions to the problems involving proportions. They also compare the similar triangles.
Curated OER
Ratios
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The lesson is taught using a table or graph to compare two categories of data.
Curated OER
Frame Yourself
Young ratio masters calculate and cut a frame (out of poster board) to accurately create an even frame around a picture of themselves. The frame needs to be proportional to the picture with constraints determined by the instructor.
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Curated OER
Rates and Proportions
Young scholars read a cookie recipe and complete a worksheet that asks them to establish ratios and proportions for various ingredients in the recipe.
Curated OER
Ratios (Cost of a Habit)
Students consider an individual habit and its cost. They study ratios and proportions, and use that knowledge to calculate the cost of a habit over extended periods of time. write a detailed comparison of the costs.
Curated OER
Gears and Proportions
Students explore gears. In this simple machines and ratio lesson, students view a video clip in which front and rear bicycle gears are explained. From a set of gear combinations and gear ratios, students identify high and low gear ratio...
Curated OER
Currency Exchange
Learners investigate the currency exchange rate. In this middle school mathematics lesson plan, student use proportions to exchange between the U.S. dollar and the euro. Students come up with a product they would like to buy and...
Curated OER
Decimal Fractions of a Set
Sixth graders practice problem solving equations of fractions, ratios and proportions, addition and subtraction stage 6 as well as advanced additive. Emphasis is placed on decimal fractions and then they convert fractions to decimals.
Curated OER
What Are the Odds?
Middle schoolers identify and interpret various ways of expressing probability as a decimal, fraction, percent, or ratio. They solve problems based on probability as they apply to real world applications.
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school bus!
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
Curated OER
Scale Drawing: Insulating an Attic
Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...
Curated OER
Scale Drawing: Insulating Another Attic
Give your future household repair specialists a real-life chance to apply the concepts of ratio and proportion. Using a scale drawing, they calculate the missing dimensions of two walls of a compound-shaped attic. They then figure how...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Curated OER
Ratios
Students identify ratios to compare quantities and understand proportions. In this math lesson plan, students work in groups and use facts from the Holocaust to calculate ratios and percentages.
Curated OER
Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
Curated OER
Dried Meat
Students investigate the traditional method of drying meat used by Native Americans. They apply math concepts such as ratio, proportion, percent, and scientific notation to determine the amount of meat the is dried from an animal using...
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