Need a unique approach to adding and subtracting polynomials? A helpful math lesson approaches the concept by relating polynomials to base 10. It encourages pupils to see each term as having a specific value, and therefore,...

Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....

How do you build a polygon from an inequality? An engaging instructional activity challenges pupils to do just that. Building from the previous instructional activity in this series, learners write systems of inequalities to model...

How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...

Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math. 

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

What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...

Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...

The 10th lesson plan in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and...

Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of...

Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...

Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.

Create an understanding of solving problems that require more than one equation. The activity introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...

Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...

Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then...

Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios. 

Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...

Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...

Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...

Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...

Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...

Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...

What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...