The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....

While examining fractions and ratios, your leaners get to read about one of their favorite subjects: candy! There are four word problems on this worksheet. Learners consider situations in which "for every x caramels there are y...

Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation. 

Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.

Are congruent shapes compatible? Congruent shapes are identical to one another, and throughout the assessment, young mathematicians identify given shapes as congruent.

Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices. 

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...

How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...

Challenge the class to prove that the dilation properties always hold. The instructional activity develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member...

Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...

What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...

Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...

Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...

Review area, perimeter and volume using this lesson. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes. 

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...

Your geometers are used to finding the perimeter of a square or rectangle, so give them something different this time! With this lesson, small groups will receive a picture of a shoreline and calculate the perimeter. The website listed...

High schoolers explore the distance formula using real world data from nonviolent marches for social change.  In this secondary mathematics lesson, students investigate the marches of Gandhi and King using maps overlaid with a...

Compose and decompose sets of 13 and 14 and compare sets of each with your little learners. They use objects to construct sets of 13 and 14, record their answers, and compare sets in several different ways.

Eighth graders understand that proportional enlargement of shapes doesn't change the angles of those shapes. In this similarity lesson, 8th graders complete exercises to create enlargements of shapes and understand similar shapes.

In this Big Bang worksheet, students are given the equation used to determine the rate at which the universe is expanding according to the Big Bang theory. Students solve 4 problems using this equation. They find the integral for time,...

In this geometry activity students explore similar polygons and determine measure of missing sides and angles. Students use indirect measurement with similar triangles and determine the area and volume of similar figures. The seven...

Fourth graders visit a real pond. They mark the pond's curvilinear perimeter using string. They measure the string to find the actual perimeter of the pond.

Eighth graders measure in feet and inches and convert to explore the relationship between the converted measurements. In this measurement lesson, 8th graders use the whisker and box plot to represent the measurement of a cat. ...

Students construct models of microorganisms recognizing size relationships-comparing the size of viruses with the sizes of bacterial and eukaryotic cells. They put into perspective just how small microbes are by comparing the size of...