Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...

Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...

Here's a spelling program that includes 36 lists of 21 words and 20 suggestions for weekly activities. Each list includes common and proper nouns, sight words, academic vocabulary, and words built on a specific Greek roots.

Factoring is an essential component in algebra, and this worksheet prepares learners with a quick reference guide and examples. After they find all the factors, they decipher whether the number is prime or composite.

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.

This unit on fractions allows for upper-aged elementary learners to explore ways to find the greatest common factor and least common multiple of two numbers. Ultimately, young mathematicians will be able to identify equivalent fractions,...

Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...

There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...

From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...

Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...

Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...

You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.

In Beacon Valley, katabatic winds regularly knock fit adults to the ground. The lesson plan compares the actual temperatures to the wind chill after factoring in katabatic winds in Beacon Valley. Scholars learn to calculate wind chill...

Develop a sketchy approach to solving quadratic inequalities! Using a sketch of a graph, the presenter shows a way to solve quadratic inequalities. Pupils then practice that method to solve their own quadratic inequalities and apply the...

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...

Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials. 

This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...

In this algebra worksheet, pupils multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.

Solving factor trees is a helpful way to introduce prime numbers. Your math class practices using this method along with two-column tables to find if a number is prime or not. They also learn other vocabulary, such as composite numbers,...

Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.

In this finding the sums of word problems worksheet, students add the one-digit word numbers and numerals and use the pictures to assist them. Students solve four problems.