Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...

Students evaluate the area of a picture frame and write algebraic representations. In this algebra activity, students work in groups to find the area of different picture frames.  Students then write algebraic expressions and...

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

Learners explore the concept of 2-variable equations and expressions. In this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.

Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...

Students analyze multiple strategies of multiplication: clustering, area model, breaking apart/decomposing, etc. They create their own strategies to approaching multiplication problems and share them with their classmates. Discussion...

For this radical worksheet, students simplify radicals containing integers, two variables, and numbers in exponential notation. Variables are found both inside and outside of the radical. Thirty problems are available on this worksheet.

Young scholars solve systems of inequalities. In this lesson, they identify the solution of the two lines and shade the solution. They identify the boundary line and the region representing the solution.

Harry needs a new wardrobe. Mathematicians watch a Cyberchase episode in which Harry uses a $100 budget for a fashion update. This anticipatory video prepares your class for a lesson in the use of two variables to solve real-world...

Young scholars identify the probability of an event occurring. Learners explore the complement of an event in finding why an event will not happen. They also explore basics of probability within algebra.

Students analyze graphs of two equations. In this algebra lesson, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...

It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each...

Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...

Let's hope class participants don't get motion sickness. In the lesson, class members first solve motion problems using tables and graphs. They then use algebraic techniques to solve motion problems.

Geometry learners touch the surface of how a global positioning system works. The end goal is to find the intersections of three different spheres geometrically and algebraically given their algebraic representations.

Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...

Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...

Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....