Sew up pupil interest with an engaging, hands-on lesson. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses of included...

Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...

Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept. 

True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th instructional activity in a module of 36.

Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...

Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...

Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of...

Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...

Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...

Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...

Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson in a series of 36. They use different symbols for multiplication and translate between standard and...

You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.

Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.

Ninth graders are investigating slope of a line. The line is plotted using the slope and points on a line. They also write an equation given the right information. The use of a PowerPoint is part of the presentation.

In this mixture word problem worksheet, students read story problems and determine what information is necessary to solve the mixture problem. They identify the correct solution, graph inequalities, and solve inequality equations. Nine...

In this algebra worksheet, students solve 11 quadratic equations for the given variable. Four problems require students to multiply two binomials. The final 5 problems students are to solve by completing the square.

Sixth graders analyze expressions and equations. In this algebra lesson, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This lesson uses the formulas for the perimeter of a square and rectangle as...

Students create a scatter plot of their experimental data. In this algebra lesson, students use M&M's to determine an algebraic model. They discuss results in class.

Learners represent algebraic patterns in various ways.

Students use large numbers and learn exponential representation and explain patterns and relations of powers of 2.

Middle schoolers brainstorm several animal/personal scenarios, select one, and write out an explanation of the comparison. They apply the measurements/characteristics to themselves and use algebraic equations to demonstrate the comparison.

Learners solve the problem that comes up in the story. They realize the explosive growth of the powers of 2.