Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...

The vocabulary for working with variable is expressions is listed at the top of this handout. Prealgebra pros evaluate four expressions when a value is assigned to the variables. Then an explanation is given about how changing the value...

Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...

Delve into graphing! The concepts covered begin with basic graphing basic coordinates and algebraic expressions on coordinate planes, and build up to graphing linear inequalities and equations. Learners solve and simplify various...

Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...

Antarctica is a big place, large enough to provide ample opportunities to learn about math. A two-week unit teaches middle school mathematics concepts using project-based learning. The resource covers functions, geometry (area,...

Students create wax sculptures of a full body using mathematical calculations and information gathered from a video in this excellent art project. The instructional activity can be used along or within the unit provided.

Middle schoolers use the popular game of Jeopardy to explore different mathematical concepts. They are highly engaged with the use of technology for this lesson plan. They function using higher-order thinking skills in order to create...

Fifth graders get to practice the skill of doing operations that are inside parentheses first when solving a mathematical equation. There are 30 problems for learners to solve. Each of them gives pupils a chance to practice this...

Make learning visible! Have your mathematicians follow along as you use paper strips to demonstrate the concept of multiplying unit fractions. Then, offer a different way of solving the problem using a number line. Finally, introduce the...

In this using the distributive property to simplify algebraic expressions worksheet, students rewrite ten expressions in simplified form.

In this distributive property worksheet, students use the distributive property to simplify expressions by combining like terms. Students simplify 10 problems.

In this variables and expressions worksheet, students solve 7 problems using different mathematical formulae to find the length of Earth's day in the future, the distance to the galaxy Andromeda, the temperature of a gas cloud emitting...

In this exponential expressions worksheet, students simplify the first four expressions by following the rules of exponents. For number 5 they rewrite the exponential expression shown as a radical expression. Finally, for the last five...

In this variable expression worksheet, students solve and check given one and two-step variable expressions using algebra. This one-page worksheet contains ten problems.

What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...

Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...

One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...

It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...

Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate...