Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson plan asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions...

Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....

Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions. 

It's time for your young artists to shine! Learners examine images to determine possible similarity transformations. They then provide a sequence of transformations that map one image to the next, or give an explanation why it is...

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

There are four activities in this extensive instructional activity covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use...

Tenth graders investigate transformations.  In this geometry lesson, 10th graders are provided the coordinates of a fish and are directed to transform the fish according to the instructions. 

In this system of axes instructional activity, 10th graders solve and complete 1 word problem. First, they determine the figure shown in the illustration and set-up an expression. Then, students solve to find the shaded region of the...

Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.

This resource is composed of five separate worksheets on ordered pairs. After plotting each ordered pair, learners label each point, connect the points to create a figure, identify the polygon type, find the perimeter and area of the...

In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

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.

Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...

Students calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.

In this midpoint worksheet, students answer ten multiple choice and five free-response problems using the midpoint formula.  The solutions are provided.

Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.

In this isosceles triangle worksheet, students use theorems to determine if given triangles are congruent or not congruent. In addition, they identify the described triangles as isosceles or right. This one-page worksheet contains ten...

High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...

High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....

Young scholars make observations about shapes and 1-, 2-, and 3-dimensional objects. They conduct observations and make predictions regarding transformations of simple geometric shapes. They identify shapes that occur in household items.

Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.