Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

In this algebra review worksheet, students solve 100 open-ended and multiple choice problems.  Students factor, simplify, graph, and solve inequalities, expressions, and equations.

Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...

Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation. 

Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions. 

Square root and exponential powers are the focus of the assessment worksheets included in a math resource. Young mathematicians answer 10 questions, each with subset questions, involving solving a variety of exponential equations...

The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson plan are designed for business applications and require complex algebraic...

For this worksheet, algebra learners solve and complete 20 different equations that include combining like terms. First, they identify and define like terms and how they can be combined in solving an equation. Then, students combine like...

Get your learners ready for distributing with this two-page worksheet full of problems to simplify. The problems include positive and negative numbers that test integer skills, as well as the ability to simplify expressions. Answer key...

Here's a video that presents several numerical expressions to be evaluated using a calculator.Viewers come to realize that sometimes it is not just a matter of punching in the numbers, but they also need to be concerned about how...

It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...

Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...

Dig into a classic math problem with your classes. Through an engaging task, learners work with rate and distance information to make conclusions. In the task, two people walk at different rates; one leaves first, and scholars...

In this multiplying and dividing learning exercise, learners multiply and divide real numbers. They substitute given values into equations and evaluate expressions. This one-page learning exercise contains 42 multi-step problems.

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.

It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The lesson progresses to simplifying radicals involving algebraic expressions in the radicand.

Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...

A boss who can't do math? Oh, no! Young entrepreneurs use linear and exponential models to determine which discount will yield the most profit on ticket sales.

Students review the units of the metric system, and practice estimating measures before actually converting between the two systems of measurement. They participate in activities to visualize a concentration of one part per million....

Students apply their knowledge of math by rewriting word problems using equations. In this word problem instructional activity, students build upon previous knowledge as they set up the correct steps to solve word problems. This...

Do your mathematicians know how to use parentheses in equations? Give them a activity to hone their skills in order of operations. They work out 20 simple problems involving parentheses, then choose which problem out of six adds up to a...

Approach addition with young mathematicians in an engaging way through this penguin-inspired activity. In small groups, scholars think about times they have used addition in their real lives (there are some suggestions given), then watch...