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Balanced Assessment
At the Supermarket
Grocery managers and chefs sure use lots of math. Scholars first use ratios and unit rates to determine a price for a can of corn. Once individuals have the pricing, they determine the amount of ingredients necessary to make brownies...
CK-12 Foundation
Points that Partition Line Segments: Cutting a Log
Teach ratios of line segments using an interactive approach. Scholars examine a line segment in the shape of a log and use their knowledge of ratios to divide it into various partitions. As an introductory lesson, the segment has a...
PBS
KidVid: Fractions and Scale
Scale the challenge of learning about ratios and scales. Young mathematicians learn to incorporate fractional measurements when considering scales and scale factors. They use an interactive to investigate the concept and critically...
PHET
Unit Rates
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
CK-12 Foundation
Properties of Rational Numbers: Lollipop Trees
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios. Question types include multiple-choice, true or false, and a discussion.
National Council of Teachers of Mathematics
Math Challenge #23: Fractals
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. For this exploratory lesson, middle schoolers are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate...
Illustrative Mathematics
Solar Eclipse
Learners take on the role of astronomers, calculating conditions necessary for a total solar eclipse. Concepts of similar triangles and properties of circles come together as pupils create ratios and use real measurements in determining...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided...
Mathematics Assessment Project
Bird’s Eggs
Are the length and width of birds' eggs related? Young ornathologists use a scatter plot to investigate the relationship between the length and width of eggs for Mallard ducks. They then determine the egg with the greatest...
Mathematics Assessment Project
100 People
It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...
American Heart Association
Pi Day
Did you know a mathematician's favorite dessert is a fruit "pi"? By participating in a fruit cutting activity, young mathematicians realize one constant—the ratio of a circle's circumference to its diameter is always pi. It is a perfect...
California Mathematics Project
Meteorology
See how estimation is essential to making temperature weather maps. Scholars use ratios and rates of change to estimate temperatures at locations where temperature readings have not been made. They connect this idea to linear functions.
Noyce Foundation
Measuring Up
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
101 Questions
Finals Week
What energy drinks have the highest concentration of caffeine? Pupils compare five energy drinks with different amounts of caffeine and different volumes. They must solve the ratios to understand the differences. An extension compares...
101 Questions
Gas Station Ripoff
Ever wonder if you can trust the pump that pumps your gas? Budding mathematicians use video evidence to analyze the cost-per-gallon ratio at different intervals for three different pumps. Their goal is to identify the pump that is...
101 Questions
Nana's Chocolate Milk
Nobody wants to make Nana mad! Help Mr. Meyer fix the chocolate milk he prepared for his Nana using too many scoops of chocolate. Youngsters develop a problem-solving strategy that leads to the solution using ratios and proportions.
101 Questions
Print Job
A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...
PBS
Real-World Proportional Relationships: Gender Wage Gap
When will the gender wage gap disappear? Scholars use a provided infographic to see trends in wage gap over time. They use ratios of women's wages to men's wages to determine which decades had the greatest change in the wage gap. The...
PBS
The Lowdown — U.S. Gun Homicides: Visualizing the Numbers
Is gun violence a big issue in America? Pupils explore gun deaths by type, race, and age group in a Math at the Core: Ratios interactive. The class tries to determine whether America is a safe place to live and use bar graphs and pie...
PBS
Math with Jake: Frequencies and Pitch
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
Purdue University
Plastic Water Bottle Design – What’s the Best Shape?
Join the fight to reduce plastic waste. A hands-on STEM activity first teaches scholars about the scourge of plastic waste. They then measure the dimensions of water bottles to calculate surface areas and volumes before using the surface...
CK-12 Foundation
Percent of a Number: Acid Solution
Mathematicians answer five questions about percents, ratios, and proportions with help from an interactive graduated cylinder. Question types include multiple-choice, fill-in-the-blank, and discussion.
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