Here is another opportunity for math learners to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...

Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...

Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes.  This practices "how many groups?" style division problems which help them comprehend why...

Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

Following a brief survey about tobacco, scholars examine a fact sheet to answer questions about the substance. A practice page challenges the class to determine the cost of the habit using money math. Pupils discuss their findings...

Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.

A career in aeronautics might be calling your class members. Building from the previous two lessons in the series, learners continue analyzing the mathematics of aeronautics. Groups create a paper airplane using paperclips for balance....

When the membership in a chess club changes, it is your mathematicians' job to find out how many boys and girls are attending and the percent change from last year. The activity provides a great compound problem finding the different...

The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...

This resource sneaks in the math so your learners will be adding and subtracting positive and negatives on a number line while thinking they are mapping out houses. The activity starts by putting houses the appropriate distance away from...

Master place value with a series of lessons that use math journals, manipulatives, and place value mats. Kids follow the instructions to represent numbers of all sizes with base ten blocks and recording sheets. 

Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...

Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...

A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...

When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...

Designed specifically for math instructors, the seventh workshop of a 15-part series allows time to explore Webb's DOK, ponder open-ended questions, and create lessons to apply what is learned. Teachers craft high-quality math problems...

Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...

Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...

Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and...

Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 

Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson plan of a 16-part series. They use inverse...

In this algebra review worksheet, students solve 100 open-ended and multiple choice problems.  Students factor, simplify, graph, and solve inequalities, expressions, and equations.