What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Scholars demonstrate their proficiency in subtracting one-digit numbers and color squares a specific color depending on whether their resulting values are one, two, or three. A completed practice page shows a festive four-leaf clover!

See how famous books of literature have different perspectives with a short worksheet. After reviewing the difference between first and third person points of view, learners look over six passages from various novels and decide...

Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...

Sixteen number families test young mathematicians' knowledge of the commutative and associative property of addition. Pupils list four problems—two addition and two subtraction—related to a given set of three numbers.

Using their knowledge of the associative and commutative properties of addition, class members work with fact families to create two addition and two subtraction problems with three given numbers. 

Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...

Three, two, one...liftoff! Elevate math skills to new heights while having a blast. A great resource that combines entertainment and education for children of all ages.

Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...

How quickly do animals evolve? Can comparing different samples of the same fossil answer timeline questions? Scholars use virtual labs to examine fossils and learn about stickleback evolution. They compare pelvic morphology in lakes...

Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 

Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...

Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...

Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...

Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with...

In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...

Change the way you teach about rewriting expressions. A diagnostic task asks learners to transform expressions in different ways. Given two linear expressions and two quadratic expressions, they rewrite them into the indicated forms.