Curated OER
Changing It Up
How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
101 Questions
They Cost Peanuts
Save pennies on your peanuts. Scholars first examine a picture of a supermarket display showing salted peanuts sold by the pound and by the bag. They apply the idea of unit rate to determine which is cheaper.
Curated OER
Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
101 Questions
Yellow Starbursts
Let the task burst your mind. Scholars estimate the frequency that both Starbursts in a pack are yellow out of 287 packs. They apply probability concepts to complete the sweet task.
101 Questions
The Ticket Roll
This is your ticket to understanding estimation. Scholars estimate the number of tickets on a ticket roll. To perform the task, they use pictures and given dimensions of a ticket roll and of a single ticket and apply concepts of area and...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Lincoln Public Schools
Cereal Box Project
Challenge your class with this fun and engaging engineering design project. The goal, to create a brand new cereal complete with a list of ingredients, a name and logo, and a box to hold it in. Starting with a survey to determine the...
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
University of Wisconsin
Sizing a Rain Garden
Most appropriate if you are applying the entire unit to build a rain garden at your school, this installment involves calculating the area that will drain into it. Your garden planners will need data from previous lessons, so this one...
Howard Hughes Medical Institute
Population Genetics, Selection, and Evolution
The Hardy-Weinberg principle states that alleles and genotypes remain constant in the absence of evolutionary influences. Scholars complete a simple hands-on activity applying the Hardy-Weinberg principle to sample data. They observe how...
Education Development Center
Rational Exponents
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
101 Questions
Best Midpoint
Develop a strong understanding of what it means to be a midpoint. Learners analyze the angles, coordinates, and lengths of segments and their approximated midpoints. They use their analyses to develop a formula to rank four attempts at...
101 Questions
Apple Mothership
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee.
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
Telling a Story With Graphs
Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...
Curated OER
Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
Curated OER
Powerpoint Tutorial Project
Students create non-linear, user-directed presentations in a presentation software application. They create, using Powerpoints, tutorial movies using the topic of solving a math story problem.
Curated OER
Percents: What's the Use?
Students explore percentages in real world situations. In this percents lesson plan, students determine the final sales price after discounts. Students interview community members and determine how percentages are used in the real world.
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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