BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
West Contra Costa Unified School District
Introduction to Trigonometric Functions
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
National Sailing Hall of Fame
How a Sailboat Works: Hull Speed and Buoyancy
How can you determine the maximum speed of a sailboat? A sailing presentation included with a straightforward lesson plan prompts learners to calculate the maximum speed of a sailboat with a displacement hull. The presentation continues...
Teach Engineering
Bouncing Balls
How high will it bounce? Groups determine the height different balls bounce off of different surfaces. By performing the necessary calculations, they determine the initial and final momentum of the balls. The included worksheet provides...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Statistics Education Web
The Egg Roulette Game
Hard boiled or raw? Which egg will you get? A hands-on activity has scholars explore the impact of conditional probability. Based on a skit from the Tonight Show, pupils model the selection of the two types of eggs using beads. They...
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Teach Engineering
Better By Design
Which modification is the best? Using the scientific method, pairs determine the effects of each control surface on the distance of a glider's flight. The activity, section 16 in a 22-part unit on aviation, allows pupils to gain a better...
Bytes Arithmetic
Geometry Pad+
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
EngageNY
Piecewise and Step Functions in Context
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue.
Statistics Education Web
The Case of the Careless Zookeeper
Herbivores and carnivores just don't get along. Using a box of animal crackers, classes collect data about the injury status of herbivores and carnivores in the box. They complete the process of chi-square testing on the data from...
Mathed Up!
Compound Interest and Depreciation
Discover how to find the value of an interest-bearing account. Individuals watch a video to learn how to use exponential functions to model compound interest. After the video, they complete a worksheet of problems on compound interest.
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
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...
Concord Consortium
Spinning an Old Record
Take a trip back in time to examine angular velocity. Using the revolutions per minute, learners calculate the speed of a point on a 33 record. They compare the speed of a point on the edge of the record to the speed of a point closer to...
Alberta Learning
Area and Perimeter of Irregular Shapes
Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging learners to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...
Achieve
Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
EngageNY
The Mean Absolute Deviation (MAD)
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean absolute...
Chemistry Collective
Virtual Lab: Strong Acid and Base Problems
Strong acids and bases don't hesitate to dissociate! Your chemistry class won't hesitate calculating pH either, thanks to an engaging simulation. Individuals perform a series of pH determinations on paper, then use the virtual lab to...
Mascil Project
Drug Concentration
Different medications leave the body at different rates, and how people take them determines their effectiveness. Learners investigate this effectiveness by charting the concentration of a given medication in the body. Using exponential...
Teach Engineering
Ranking the Rocks for Desired Properties
Math rocks! Cavern design teams determine the rankings of rock types based upon desirability points. The points are connected to the properties of the rocks and their usefulness in building a cavern.