Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are...

One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...

Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

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...

What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...

Determine equivalent methods to find sums of consecutive numbers. Learners watch a video of a computer program that finds the sum of five consecutive numbers given a starting number. Pupils hypothesize how to determine the sum without...

Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...

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.

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....

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.

Learners first determine the slope-intercept and standard forms of inequalities given graphs, and then determine key features of the graphs.

An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...

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...

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...

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.

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'...

Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...

Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...

How can learners use algebra to solve a geometry problem? Help learners create an equation that shows the relationship between the number of sides of a polygon and the sum of the interior angles. Young scholars are asked to divide 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....

Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...