Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...

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.

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,...

Students plot the migration paths of birds using latitude and longitude data from a table.

In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...

The second lesson plan on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding...

Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.

A great activity for scaffolding critical thinking about mathematical concepts. This resource provides students with a brief explanation of multiples followed by 29 practice problems which gradually increase in difficulty. Several tables...

The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...

Learners explore how to tell time by looking at their daily schedule. Everyone's days start out the same (with school), but what does each learner do after school? How do they spend their time? 

Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of...

Explore prime numbers. Learners use an interactive 100's chart to identify prime numbers, discuss a glossary of terms, use cards to list multiples of 2,3,4,5, and play a bingo game.

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. 

A thorough exploration into subtracting multi-digit numbers, this series of lessons is an excellent way to guide learners of any skill level. With a step-by-step lesson plan and straightforward assessment tools, kids are sure to...

Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.

Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.

Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...

Solve and complete 18 problems about angles. First,  demonstrate that each conjecture is false by giving a counterexample. Then write the inverse, contrapositive, and converse for the each statement. In addition, write a...

Learners use Cuisenaire rods to explore common denominators. In this fractions lesson, students build Cuisenaire representations of fractions, then find their equivalent counterparts to find the common denominator.

This hundreds chart is missing some numbers! Your scholars fill them in (92 are missing), and then they challenge themselves with a chart that looks a bit different. Using the same 10 x 10 layout, the second chart is filled with letters,...

Tiles are not just for algebra—see how they can help with multiplication too. Young mathematicians learn to use algebra tiles to model polynomial multiplication. A follow-up worksheet provides practice with the skill.

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...

Students explore patterns involving objects or figures and geometric shapes. They identify the missing shapes in patterns and discuss what would come next in the pattern, analyze patterns using different objects, and complete a...

Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...