MIddle schoolers use the distributive property to combine terms in six expressions. They write nine expressions in simplest form. Pupils perform one mental math problem, describing how they would solve the multiplication mentally.

Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...

Learners discuss and review examples of the Pythagorean Theorem using a GSP, Geometer's Sketchpad, activity.

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.

Students, who are adult learners, participate in an Internet scavenger hunt in order to assimilate information about the biography of Alexander Hamilton and the Federalist Papers. They look at the Federalist and Anti-Federalist Papers...

In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...

This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.

Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

Return to the classic word problem with these speed scenarios. Learners use some combination of the variables speed, distance, and speed to solve six problems, all of which ask for one of these as an answer. The examples do a nice job of...

Students solve two steps equations. In this algebra worksheet, students follow specific steps to solve 2 steps equations. The steps are written out nicely for each student to follow along. This worksheet is a good guide for students...

Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...

Students solve linear equations using word problems. In this algebra lesson, students rewrite the word problems by identifying the important information. They make a table and graph their results to analyze it.

A monopoly gives a company exclusive rights to a market. What is the impact of that decision on the economy? Problem sets from College Board explore this question, as well as variables in labor markets and government regulations on profit.

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

In this algebra activity, students solve exponential functions using common bases. They have to solv for the missing variable. There are 20 questions.

For this electric circuit worksheet, learners use Algebraic equations to manipulate the electrical resistance of a conductor. The answer a series of 19 open-ended questions. This worksheet is printable and the answers are revealed online.

In this gas stoichiometry worksheet, students use the ideal gas law and balanced chemical equations to solve for unknown values such as volume and mass of gases.

Students graph a line without making a table of vales. In this algebra instructional activity, students are given a verbal scenario and asked to write a linear functions representing the scenario and graph it on a number line without...

In this function tables learning exercise, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine...

Here are the complete set of the math practice standards and the Common Core standards for first grade. They cover operations & algebraic thinking, operations in base 10, measurement and data, and geometry. Illustrated nicely with...

Learners brainstorm on ways they use water, and where water comes from. They view video, Down the Drain, to gain specific facts about water use, properties of water, problems of water and the water cycle. They perform a lab activity...