Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...

Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

Written to assess high schoolers' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.

Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...

Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second instructional activity of a four-part Algebra series. A series of activities...

Learners simplify simple equations. Using a maze game, young mathematicians speculate about the size of different algebraic values and what other equivalent expressions might look like. It is a nice beginning activity for introducing...

Students, using algebraic operations, solve and check linear equations. At the beginning of class, they write a paragraph comparing the solving of math problems to solving real life problems. Students observe solving systems of two...

Students create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....

Can a person solve and graph inequalities in one variable? Sounds impossible but it's not! Young mathematicians solve and graph inequalities in algebraic equations. They find a range of possible values for a variable as they solve...

Identify the slope of a linear equation in this algebra instructional activity. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.

A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...

Create a slide show that explains and applies any of the operations and algebraic properties using integers. Slideshows are compiled, shown to the class, and critiqued for accuracy by the rest of the class.

Explore early algebra by participating in a pattern identification activity using a random assortment of different household materials. The class creates, completes, and analyzes different patterns with the help of leggos, buttons,...

Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.

Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...

A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...

Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...

Order of operations is foundational for the future study of algebra. With ample time for instruction and independent practice these activities will help your class improve their understanding of this important concept. Includes the...

Study linear equations with this algebra lesson. Middle schoolers solve linear equations using the appropriate properties and create their own equations for each other to solve.

In this midpoint worksheet, learners use a number line to find the midpoint of a line segment. Next, they find the midpoint of a line using the coordinate plane. Examples of how to use each method are given at the beginning of the...

Students play a game to realize the rules of signs.

Students investigate the concept of polygons using a variety of activities. They explore the vocabulary of polygons by constructing a graphic organizer. Then students categorize the characteristics of several polygons and contribute the...

Students discover how to apply the order of operations to evaluating algebraic expressions. In pairs, they solve problems by placing the order of operations steps in correct order. As an exit slip, students write paragraphs about an...

Students collect and organize data, make a scatterplot, fit a curve to the appropriate parent function, and interpret the results. Students translate among the various representations of the quadratic function, formulate equations, use a...