Notation in mathematics can be intimidating. Use this lesson plan to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if...

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.

Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...

How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...

Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...

In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...

Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...

Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...

Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.

Investigate the results of multiple translations on an image. Scholars use vectors to perform a sequence of translations in the seventh instructional activity of 18. They examine the results and determine the importance of using a...

Don't get out of order! Examine the effect of order on a sequence of transformations. Learners perform reflections and translation transformations in sequence. They see that changing the order of the transformations does not always have...

Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...

Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...

Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....

Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps...

No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...

Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...

Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within...

Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th instructional activity in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even...

The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.

Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...