Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
Curated OER
Stock Swaps, Variation 2
If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
101 Questions
Volcano
This resource will blow your mind! Young mathematicians estimate the rate of volcanic lava flow by watching a video. They apply the rate formula to determine how long it would take the lava to reach a city. Let's hope everyone gets out...
101 Questions
Split Time
Stay on track to learn about proportions. Scholars watch an introductory video that shows the split time for a runner on an outdoor track. Applying concepts of proportional reasoning, they determine what the runner's split time would be...
Curated OER
Reflecting a Rectangle Over a Diagonal
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
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.
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...
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...
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,...
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...
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.
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