Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...

Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

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...

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...

Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....

Students define equations and expressions. For this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...

Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...

Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...

Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.

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...

Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...

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...

Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

Learners write equations for their graphs. In this algebra activity, students analyze graphs after they plot them using coordinate points and write an equation for the line given the slope and y-intercept. They express their answers...

Students solve equations by writing expressions. In this algebra lesson, students identify the different values for each variable. They use the navigator to see how to solve equations.

Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...

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. 

Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...

Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...

Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...