Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...

Don't compromise the identity. Given pairs of equations, scholars determine whether the equations are true for the same set of values. They explain their reasoning, considering whether it's possible to combine the equations into an...

Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...

What to do with more than one variable? Part of a larger series, the video shows how to solve a formula for another variable. Pupils solve equations with more than one variable for a given variable of interest. Problems include linear,...

Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.

A five-question interactive focuses on integers and absolute value. A number line shows the distance to aide mathematicians in answering multiple-choice, true or false, and discussion questions.

Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...

An interactive challenges mathematicians to multiply fractions by whole numbers. A model provides a clear visual aid in preparing whole numbers to be multiplied. Six questions include multiple-choice, fill in the blank, short answer, and...

An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...

Understanding the importance of SAT scores is as easy as ABC. A set of three statistics lessons teaches scholars about normal distributions, the Empirical Rule, and z-scores. They apply their newfound knowledge to investigate data...

Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...

Use the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...

Transform the classroom into a coordinate plane. Scholars walk along parallel lines drawn on a coordinate plane on the classroom floor. They measure angles and slopes and use the results to develop criteria that would make the lines...

Try to find the triangles in various polygons. An investigation has learners develop a formula for the sum of the measures of the interior angles of a polygon. They use manipulatives to partition each polygon into triangles, then...

No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...

Using the net of a can, learners develop formulas for the surface area and volume of a cylinder. They then apply their formulas to solve problems about a cylindrical container used to disperse confetti.

Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...

Get to know quadratics from a couple of different perspectives. Classmates work in small groups to determine the optimal cooking time for microwave popcorn. Group members pop bags of popcorn for different times and collect data on the...

There's value in using a video to analyze a table of values. Pupils learn how to find the limit of a function from a table of values in the fourth of 18 lessons in Unit 1 - Limits and Continuity. An engaging video gives a tutorial on how...

There's no limit to what one can learn about limits. The second of 18 videos in Unit 1 - Limits and Continuity focuses on understanding the basic concept of a limit. Pupils learn the definition of limits and see how to determine a limit...

Acquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...

Confirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...

Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...

Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...