Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 

Scholars investigate transforming parabolas.  In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...

Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...

First graders play Shape Stretch to practice mathematical concepts.

Sixth graders visualize different percentages as parts of a whole on visual images. They observe alterations of photographs, and models of circles, squares and sets. This incredibly detailed, eight-page plan leads you through everything...

Explore parabolas in this algebra lesson with the graphing calculator. The class investigates what effects the changing of the parameters of the vertex form of a quadrati have to its graph. They find the zeros of a quadratic graphically...

Students read the novel Stone Fox by John Reynold Gardiner. Using Lego RCX units, students build and program sleds to re-enact the "home stretch" of the National Dog Sled Race.

Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...

Students count by multiples while performing stretches or exercises. They listen to music and skip count by a given multiple. The rhythm of the music as well as the repitition assists them in their memorization of multiplication facts.

Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson plan, especially for aspiring engineers. Just be aware that it might be a stretch to meet all...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...

Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...

One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...

Students calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They create an equation of a line of best fit from a set of ordered pairs or...

Students examine ways to extend their budget with coupons. In this budgeting lesson, students read information about using coupons at the given website. Students make a list of 30-50 products they use in their homes and use online...

Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...

Students investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the function to...

By stretching and translating the parabola given and determining the effects on the equation, learners explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...

Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...

High schoolers perform dilation on various geometric shapes. They also discuss pros and cons of dilation and employ the Frayer Model to study the vocabulary words in this section.

Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the...

Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...