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...

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

What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and...

Don't let the rules overrule the lesson. Mental math steps in and helps learners understand exponent patterns. The material focuses on the introductory problems of exponents, such as simplifying expressions. Teacher guides are...

Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...

Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...

It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...

Young mathematicians dive into the number line to discover decimals and how the numbers infinitely get smaller in between. They click the zoom button a few times and learn that the number line doesn't just stop at integers. Includes...

Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...

Investigate the order of operations! Learners participate in interactive multi-media activities to examine and solve multi-step equations, inequalities. They evaluate formulas and simplify monomials and polynomials.

Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.

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.

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Put the graph into graphing and allow learners to understand the concept of point plotting and how it relates to data. The worksheet provides a nice way to connect data analysis to a graph and make predictions. The worksheets within...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...