How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...

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...

Streets, bridges, and intersections, oh my! Parallel lines and transversals are a present in the world around us. Learners begin by discovering the relationship of the angles formed by parallel lines and a transversal. They then...

Challenge scholars to plan a vacation with a $5,000 budget. Learners review costs of transportation, meals, and entertainment while considering the number of people and destination. Worksheets provide information and...

Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....

Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...

Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

A little context will go a long way. The six released free-response questions from the 2005 exam, show how AP® Statistics uses context within their problems. Pupils use the questions to practice their statistics skills within real-world...

Here's a TI step by step guided lesson on matrices. The class enters data into the TI calculator about movie ticket sales and uses matrices as a problem solving tool. They add and multiply matrices to determine profit.

Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...

Develop multiplication skills with your class. Youngsters will visualize multiplication as repeated addition. Then they will create a multiplication bug book and discover arrays as a strategy for multiplication problem solving....

Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated...

You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.

Students solve problems of dilation and velocity. In this geometry lesson, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.

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.

Teach teenagers to think critically about data. Young data analysts must create two questions that can be answered using a provided data set on Olympic cycling times. Of course, they then have to answer their questions using mathematics.

Put the graph into graphing and allow learners to understand the concept of point plotting and how it relates to data. The worksheet provides a nice way to connect data analysis to a graph and make predictions. The worksheets within...

Learners investigate matrices by exploring addition, subtraction and multiplication of matrices.  Students find the determinant and inverse of a matrix.  The lesson includes a set of practice problems

How can you measure the height of a tree or telephone pole with only a short measuring tape?  It's not a problem when you start by measuring your shadow and your height to create a ratio to use with taller objects. Additional...

This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...

Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...

The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...