Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...

Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...

Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...

A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.

Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson plan, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude,...

Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...

The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...

Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.

Explore the concept of this perfect square trinomial and difference of squares lesson. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.

Build on your classes' understanding of irrational numbers by comparing their values. The 13th activity in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on...

In this shape lesson, learners cut out tangram shapes and create different pictures with them. They look at 3-D shapes as well. There is a nice, hands-on component built into this lesson.

This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...

Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.

Domain can be a tricky topic, especially when you relate it to context, but here is a lesson plan that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin...

Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.

Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...

All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...

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...

Young scholars differentiate between perfect roots and rational roots. In this algebra lesson plan, students perform operation using roots. They add, subtract, multiply and divide rational expressions.

Students explore the concept of multiplying polynomials. In this multiplying polynomials lesson, students watch a video clip about basic math skills. Students work in groups on an exploration about why a binomial squared equals a perfect...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...