Fifth graders build increasingly larger squares and triangles using pattern blocks. They record the growth patterns on a chart and look for corresponding numerical patterns. Students describe the patterns they find and use them to...

Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...

Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

Fourth graders use square tiles to help them explain the concept of square numbers.

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...

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...

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

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

Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.

Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...

Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.

Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....

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...

Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...

Turn Pride and Prejudice into a math activity with a magic squares lesson. Kids read nine character traits and pair them to a list of the book's characters in order to complete the activity and find the magic number.

Vocabulary really adds up with magic squares! Using words from Shizuko's Daughter by Kyoko Mori, kids line up words and definitions to come up with the same sum across and down the square.

Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.

Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.

When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The instructional activity focuses on expressions related to...

Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

Square away any doubts about using a new resource. Pupils learn about squares and square roots in the mini-lesson. They complete a worksheet identifying roots of perfect squares up to 400.

Students investigate fractions while adding and subtracting mixed numbers. They discuss how to add and subtract mixed numbers and they practice working with mixed numbers. They complete a worksheet while working with mixed numbers.