Students translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations and...

Sixth graders participate in a lesson that involves the concept of inequalities. They translate the words of problems and put them into a visual illustration. The illustration should include a number line for assessment.

Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both...

Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...

Students investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...

In this math worksheet, learners find the points on the Cartesian plane. The graphs use the color green and red to differentiate the positive and negative points.

Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.

Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....

Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...

Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...

Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

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.

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions. 

Learners examine the process of drawing a picture to scale. They analyze and discuss real-life blueprints for a house, and create a scale drawing of an original invention using calculators and rulers.

Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.

With graphic organizers galore, learners will follow the changes of church and state in early colonial America. They look at the differences between the pilgrims and the puritans in terms of beliefs and life ways. Myths and...

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 

Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Fifth graders use the guess and check technique to solve a problem involving transformations. They work with a grid and criteria provided by the teacher to solve a sequence with black and white rows.

Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.

You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...