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Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Teach Engineering
Bridging to Polymers: Thermoset Lab
Investigate thermoset polymers through experimentation. In an effort to determine the strongest, most flexible mixture, groups conduct an experiment on different-ratio epoxy-amine polymers to finish the set of two lessons.
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th instructional activity in a series of 29. They represent percents as fractions, decimals, ratios, and models....
Cornell University
Splitting Water with Electricity
Explore how electricity splits water molecules into hydrogen and oxygen. Learners begin by calculating the voltage necessary to separate the water. They then perform the experiment and measure the ratio of hydrogen and oxygen bubbles.
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Curated OER
Do new kinds of insects appear after soil modification?
Students explore and experiment with the concept do new kinds of insects appear after soil modification. They assess and review scientific methods of observation, predicting, variables, math skills, ratio, proportions, graphs and the art...
Curated OER
Baseball Proportion: Student Worksheet
In this mathematics worksheet, students model a batting stance with a regulation size baseball bat. Then they model the batting stance with a souvenir miniature baseball bat. Students measure the length of each bat in centimeters and use...
Curated OER
Precipitation Stoichiometry
Students investigate combining positive and negative ions to form products. In this precipitation stoichiometry lesson plan, students make 8 combinations of ions from a given list and predict the optimum combining ratio. They record the...
Teach Engineering
Enough Energy? Play the Renew-a-Bead Game
Pairs simulate the energy usage of different countries by drawing beads from a bag, which contain different beginning ratios of non-renewable and renewable energy resources. The activity concludes with a series of questions to tie...
Curated OER
Largest Hamburger Ever?
If a 150 lb. person can comfortably eat and digest a 1 lb. burger, then how large would the person be who can comfortably eat and digest a 350 lb. burger? For a burger that size, it would take either a large person or a class of really...
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
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
EngageNY
Scale Factors
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...
NASA
Project X-51
In a nose-cone to nose-cone competition, which rocket will prevail? Teams form rocket companies to design and build a rocket while competing against other teams in an economic challenge. The team that comes up with the best benefit/cost...
Virginia Department of Education
Formulas and Percent Compositions of Ionic Compounds
Try not to blind anyone with science by following the safety rules. The lesson encourages scholars to form an ionic compound from magnesium and chlorine. Then they determine the empirical formula and determine the mole ratio and percent...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Curated OER
This is to That
Students look at ratio, what it means for numbers or objects to be in a given ratio, and how ratios and fractions are related. They write and solve story problems which involve whole numbers, using addition, subtraction, multiplication,...
Curated OER
Mixing Colours
Young scholars explore ratios and their relationships to fractions. They explain the process of identifying ratios and describe their comparison. Students write ratios as fractions and by using colons. They convert the ratios to...
Curated OER
Math: "Scales"
Third graders investigate ratios and rates. In this third grade mathematics lesson, 3rd graders identify equal ratios and rate and test for proportionality. This lesson is created to be use in conjunctions with a particular...
Curated OER
Comparing Candy Bars
Eighth graders identify that a ratio is a comparison of two numbers and that a proportion is an equation that equates two ratios. They identify the extremes and means of proportions, as well as the product of the extremes equals the...
Curated OER
Flying with Fractions
Students test their knowledge of the Wright Brothers and their aircraft, and compute ratio of two numbers to determine the ratio between wing span and length of aircraft.
Curated OER
House Dimensions
Fourth graders measure the perimeters of several different rooms. They convert the measurements using ratios that allow them to draw the rooms to scale on paper. They draw the dimensions of a house to scale. They measure length to the...
Curated OER
Ocean Animals vs. Humans
Students use critical thinking skills to solve word problems using ratios that allow them to compare humans to ocean animals.
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