To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...

Middle schoolers use inverse operations to solve two-step equations. They study a story problem about inverse operations, watch a video about the problem, and complete a handout for the inverse problem. Pupils finish with two...

In this distributive property learning exercise, students solve and complete 22 different equations that include applying the distributive property to each one. First, they simplify each expression listed by applying the distributive...

Learners use an array model of multiplication to solve four fill in the blank multiplication problems. A very nice math worksheet.

Dive head-first into this worksheet full of inverse operations, distributing, and combining like terms. Let your learners try these challenging problems to test their skills with multi-step equations and simplifying expressions with...

In this polynomials worksheet, students solve and complete 20 different problems that include multiplication. First, they multiply the first terms of each binomial. Then, students multiply the outside terms and then the inside terms....

Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...

Minimize the time it takes to create a fish dish. Scholars use their knowledge of time to devise an order that accounts for different constraints. Considering jobs that can be done in parallel is essential to solving the problem.

Examine the relationship between ratios and scale. Young math scholars compare ratios of two models. They use the ratios to make a comparison between the two models. Each image uses a different scale, which requires learners to think...

Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...

Use these number story cards to give scholars practice with arrays and number models. There are 12 cards here, each with a simple object scenario for learners to apply mathematically. Mathematicians are given the number of rows and how...

Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

Students use statistics to solve problems based on the spread of disease.  In this disease lesson students study the role that viruses and bacteria play in the spread of diseases and explain pandemics. 

Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative. 

Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...

Second graders study subtraction facts. In this mathematics lesson, 2nd graders discuss how to solve two digit subtraction problems. Students recognize that there are many different methods or strategies one can use such as using...

In this problem solving worksheet, students problems solve the answers to 5 mathematical word problems involving fractional parts. Students use data from a pictograph to assist them in solving each word problem.

In this problem solving learning exercise, students solve the answers to 6 mathematical questions about a box of balls by using a variety of formulas.

In this high school examination, learners complete four sections and a total of 34 questions from a wide variety of topics. The first section contains 20 multiple choice questions from both geometry and algebra. The second section is a...

Students practice solving mathematical word problems. In this math worksheet, they solve one probability problem, write in the missing numbers in a table, solve one mental math problem and interpret two graphs.

In this scientific notation, significant figures, and factor-label method, students solve 1 problem where they perform mathematical functions and identify their answer in scientific notation with the proper number of significant figures....

In this algebra worksheet, 11th graders rewrite a word problem using algebraic symbols. They calculate the distance flown before the impact of the two objects occurs. An answer key is provided.

First graders study addition and subtraction. In this mathematics and physical education lesson, 1st graders pop balloons and solve math sentences involving addition and subtraction inside each balloon.