PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
101 Questions
Stopping Distances
In 2016, one in every four fatal car crashes listed speeding as a contributing factor. Pupils view videos of a car trying to come to a quick stop from four different rates of speed. They use context clues to measure and determine the...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Illustrative Mathematics
How Many Leaves on a Tree?
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
Teach Engineering
Applying Statistics to Nano-Circuit Dimensions in Fabrication
Do flexible circuits change dimensions during fabrication? Groups use GeoGebra software to measure the length of pictures of flexible nano-circuits. To determine if the circuits change dimensions, future engineers use Microsoft Excel to...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Curated OER
Sunrise, Sunset
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
Curated OER
Sunken Treasure
You've located buried treasure, now what? Explore how to use algebraic and geometric methods to determine where to place a recovery ship based on the location of the treasure.
Illustrative Mathematics
Do You Fit In This Car?
A short activity that focuses on the normal distribution as a model for data distribution. Using given means and standard deviations, your budding statisticians can use statistical tables, calculators, or other statistical software to...
Curated OER
Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
Computer Science Unplugged
Twenty Guesses—Information Theory
How do we determine how much information to include and what can be left out? By playing a game of 20 questions, the class generates the best strategies for finding a number. They then move on to guessing the next letter in a short...
NASA
Code a Mars Sample Collection Video Game
Video game designer meets science in a lesson examining the science of space exploration. Young learners use online software to create a video game that mimics the process of sample collection on Mars. They must make appropriate...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
PBL Pathways
Biscuits
Calculate the nutrients in different types of dog biscuits. Pupils create a technical report outlining the amount of calcium, protein, and carbohydrates in three types of dog biscuits. The project-based learning activity requires...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
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
Animated Project for Curriculum Areas
Learners use an animation program plan and create a short animation movie showing what they have learned in math or any other curriculum area.
Teach Engineering
About Accuracy and Approximation
How accurate are robots? Groups draw lines by moving robots backwards and forwards by one rotation of the wheels. Using the appropriate formula, they determine the percent error in the length of the lines in relation to the calculated...
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
Illustrative Mathematics
Block Scheduling
If a random sample determines that 45% of students favor block scheduling, is it possible that the actual percentage might be 50% or 60%? In this task, learners use data from a computer-generated simulation to determine the plausibility...
Curated OER
Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Illustrative Mathematics
Placing a Fire Hydrant
Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this lesson. Here the class investigates the measure of center that is equidistant to the three...
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