Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the instructional activity connects greatest common factor to the largest square that can be drawn in a rectangle.

Do ratios have values? The seventh lesson in a series of 29 introduces the value of a ratio. Pupils create associated ratios to a given ratio. They also describe the fraction associated to the ratio as the value of the ratio.

Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...

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. 

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...

What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...

How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....

Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...

Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...

The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...

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...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.

Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...

Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...

Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...

Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...

Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.

What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...

What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...

To find x, you have to get it by itself, correct? Individuals solve a linear word problem and share their solutions with others that solved the problem in a similar fashion. They then complete a self-assessment on how they feel about...