Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.

You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.

Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...

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.

Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.

Students solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...

Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.

Use this graphing worksheet to have learners evaluate and graph linear equations. A coordinate plane, for graphing, is provided below each equation. This one-page worksheet contains seven problems.

In this logarithms worksheet, students solve logarithm equations.  They read story problems and find equivalent expressions to given logarithms.  This three-page worksheet contains 13 problems.  Answers are provided on the...

In this math worksheet, students are given 8 questions regarding Kepler's first law of motion. The questions include definitions, short essay explanations, and formulaic expressions.

Sixth graders evaluate algebraic expressions. For this introduction to algebra lesson plan, 6th graders use manipulatives (algebra tiles) to solve problems involving one and two variables. Students apply this knowledge to real life...

Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...

Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...

Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...

MIddle schoolers use the distributive property to combine terms in six expressions. They write nine expressions in simplest form. Middle schoolers perform one mental math problem, describing how they would solve the multiplication mentally.

Order of operations is foundational for the future study of algebra. With ample time for instruction and independent practice these activities will help your class improve their understanding of this important concept. Includes the...

Students work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.

Learners solve linear equations. In this algebra lesson, students use manipulative's to see the steps taken when solving linear equations. They solve using addition, subtraction, multiplication and division.

Students solve one step linear equations. For this algebra lesson, students manipulate their variables and numbers to answer each problem. They make sure the equations stay balanced at all times.

Students participate in a two-week real-life math unit. In pairs, they calculate salaries, taxes, and a budget, plan a vacation, buy insurance, make a will, and design a room. They conduct Internet research to plan the vacation, and...

Sixth graders are shown a variety of algebraic equations. In groups, they use tiles to represent each expression in the equations. To end the lesson, they solve story problems with one and two unknown variables. Individuals share their...