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. 

Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more...

Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.

How much do you know about exponents? The pre-test covers the concepts of integer exponents with both numerical and algebraic one-variable expressions. The test is also over representing numbers in scientific notation, operating with...

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...

Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...

Learners understand that algebra is a branch of mathematics that uses symbols or letters to represent unknown numbers in problems. They also understand the definition for an algebraic expression. Make sure to click on the Download the...

First, middle school mathematicians read phrases and translate them into a variable expression. Then, they make statements that explain expressions. On a second page, they combine variables to simplify expressions, and then they...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

Explore how to deal with fractional and negative exponents. Scholars watch a video reviewing fractional, zero, and negative exponents. After the video, they test their skills by completing a learning exercise covering the concepts.

Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...

Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.

Student use mental math to solve linear equations. In this algebra lesson, students solve one and two steps equations. They write expressions using variables to identify the unknown.

Students name and sketch numerical expressions. For this order of operation lesson, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their motivation lesson.

For this algebra worksheet, young scholars evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.

Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...

Clothing design, do you know any teenagers that are interested in that? How about mixing what they have learned about JavaScript programing and the creativity of designing a piece of clothing? This activity does just that. Practice the...

Middle schoolers brainstorm pizza toppings and determine the number of possible ways to order a pizza. For this algebra lesson, students analyze and investigate geometric patterns as they relate to the concept of a variable. Middle...

In this equations worksheet, students explore mathematical expressions.  They solve algebraic equations with one variable and identify the domain and range.  This five-page worksheet contains detailed notes, examples, and 4...

Middle schoolers discover and discuss relationships and functions between varying dependent variables and how they affect the period of the pendulum. They use graphing calculator to express the data collected in a graph, to analyze the...

Students study the concept of fraction using mathematical reasoning. In this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...

In this order of operations activity, students solve equations with one variable using order of operations. Equations contain fractions, exponents, parenthesis, and the four basic operations of addition, subtraction, multiplication and...