Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...

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...

This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...

Many students like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In order...

What is the most efficient way to ensure everyone is connected? Individual pupils determine the least expensive route to pave roads in a fictional city. In doing so, they learn to find the minimal spanning tree for the situation. They...

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.

Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...

Add some randomization into simulations. The 11th installment in a series of 25 presents two new methods to use in simulations--colored disks, and random numbers. Pupils use random numbers to run simulations where the probabilities make...

Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...

There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...

Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

Is that a right triangle or a wrong triangle? Young mathematicians look at eleven different shapes and use a measuring tool of their choice to determine which triangles have right angles. Consider cutting out sets of the shapes to...

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...

Everyone loves a good deal, and your mathematician's job is to calculate the original price when given the discount. A different type of problem than the traditional "find the percent change" has your learners working backwards to...

Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while...

Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...

Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...

Learners multiply 9 pairs of fractions and mixed numbers. They divide on six problems. They solve four whole  number problems using the distributive property. There are 20 problems total on the page.

Introduce scholars to the commutative and additive identity properties of addition with two sets of practice problems. First, they fill in the missing addend by choosing from a group of three possible answers. These six addition...

Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...

Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.

Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...