Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...

Teams learn about the size of a nanometer by measuring objects and converting those measurements. A worksheet then tests the groups' abilities to use nanometers by having them determine the size of objects that are too small to...

This isn't your typical basic lesson—it's more acidic! Learners use pH information to determine the hydroxide ion concentration of different substances and then use these values to analyze information. The calculations require...

Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...

The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...

A slideshow covering the Smarter Balanced Target I on solving problems involving volume of cylinders, cones, and spheres contains five sample items. Items range from finding the volume of a figure to finding the altitude of a cone given...

The last installment of the 18-part Grade 5 Math Module 1 is an end-of-module assessment. Scholars answer questions that require explaining the connection between powers of 10 and place value, rewriting decimals in different forms,...

Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...

What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and...

If you are looking for a visual warm-up on the commutative property, this might be the one. There is just one problem here, and you will need to guide learners through it since the objective isn't clear. They practice the commutative...

Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...

Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.

What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...

Class members have some catching up to do. Given a linear equation describing the distance of a runner, young mathematicians interpret the equation in terms of the context. They consider a general equation of the same form and describe...

Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...

Students investigate polynomials. In this algebra lesson, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Students also describe how the...

To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...

Math scholars investigate the cost of living in Hong Kong compared to Chicago but must first convert the different types of currency. They then choose a type of graph to compare different spending categories and finish the activity by...

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

In this area worksheet, students use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.

Students use water filled pipes to play a tune and consider the mathematics behind the sound waves. In this sound wave activity, students play a tune with water filled pipes. They create a mathematical model to evaluate the wavelengths...

Students explore the different methods used in celestial Navigation and astronavigation. In this math activity, students construct a sextant and demonstrate how it works.

In this geometry activity, learners calculate the distance between two cities, trying to find the shortest distance. There are 30 questions with an answer key.

Eighth graders investigate properties of circles.  In this eight grade mathematics lesson, 8th graders apply proportional reasoning to data gathered with “Google Earth” to calculate equatorial and polar circumference of the...