Properly teach properties with three activities that allow learners to investigate properties of real numbers. The resource covers the identity properties for addition and multiplication, the inverse property for multiplication, and the...

In this relations worksheet learners solve eighteen problems related to relations, functions, and equations.  The first part of this worksheet is designer to be completed with a computer program.

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...

Introduce your young math scholars to functions. Because the answer is explained at the bottom of the page, consider projecting this and covering it up until you hear the class responses. They observe a rule (in this case to add 15) and...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Don't let a little challenge get between your pupils and their learning! Scholars compare two absolute value functions to recognize patterns and use them to build their own functions with outputs that are between the given. They then...

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...

In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.

Hopefully nothing gets lost in translation. Pupils translate between verbal phrases and algebraic expressions. They then use candy to determine what values to substitute into the expressions.

Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...

Patch up any misconceptions about writing functions. Scholars undertake a performance task that has them first examine a pattern in patchwork cushions. They represent the patterns in triangular and rectangular blocks using a table and as...

Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of...

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

Will Social Security still be around when you retire? Given data on the predicted balance of the social security fund over time, scholars plot the points on a coordinate grid and determine if a quadratic regression fits the data. They...

Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...

Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  

In this algebra worksheet, students graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.

In this complex function activity students identify the derivative of given functions and explore the rules of differentiation. This two-page activity contains explanations and examples, followed by ten problems.

Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.