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. 

Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...

Young geometers investigate and apply properties of quadrilaterals.  After a review and discussion of key terms, students use a computer applet to explore four-sided figures and classify them according to their attributes. The...

Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take...

Looking for a performance assessment that asks individuals to demonstrate their competency in writing about informational text? Use Frederick Douglass' essay "On the Dred Scott Decision," and an excerpt from Abraham Lincoln's 1857 speech...

Learners explore the concept of univariate and bivariate data. In this univaritate and bivariate data lesson, pupils discuss the differences between univariate and bivariate data. They work sample problems where they must construct box...

Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...

Here is a lesson that takes an interesting approach to analyzing data using box and whisker plots.  By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that fits...

A simple real-world problem involving taxi cab fares is used to practice the multplicaiton and division of integers. How many of two different-sized taxis  are needed to transport 75 people to the airport? What is the least...

Watch the damage from a forest fire in this interactive simulation activity that challenges learners to estimate the burn area using different approaches. Learners are given a worksheet to track the different burn patterns and practice...

What middle schooler does not enjoy an occasional online game? In this lesson play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree models,...

Review basic probability concepts with your class using different-colored marbles in a bag. Then pair up learners and have them play a cool online interactive game in which they race miniature cars using the roll of a die or...

Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.  

Students explore the concept of fairness. In this fairness lesson, students play four probability games. Students determine who has the best chance of winning each of the four games. Students discuss which games gave an unfair advantage.

Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.

Learners explore scatter plots. In this linear regression lesson, groups of pupils graph scatter plots and then find the line of best fit. They identify outliers and explain the correlation. Each group summarizes and shares their...

While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...

Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...

Assign an interactive poster activity to assess your class's knowledge and skill concerning data analysis. The teacher reference provides solid questions to ask individuals or groups as they complete their posters.

Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson plan in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to...

If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 

Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.

Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...

Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.