An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...

Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...

Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...

Pupils determine scale factors from one figure to another and the scale factor in the reverse direction. Scholars compute the percent changes between three figures. 

Class members solve problems to find the whole when given a percent. They  use double line numbers and factors of hundred to help break the 100 percent into equal segments. 

Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...

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...

Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...

Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...

No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...

Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within...

How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...

Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...

Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.

Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson, they order rational numbers written in different forms.

Order up a resource on absolute value and order. The 12th installment of a 21-part module investigates the relationship between absolute value and the order of numbers on a number line. Scholars determine how the actual values and the...

Positive and negative numbers are all around us. Groups read short story contexts and identify a rational number that represents the values in the context. They order the rational numbers and interpret statements of inequality.

The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.

Scholars learn how to find the distance of vertical and horizontal line segments on the coordinate plane in the 19th installment of a 21-part module. The use of absolute value comes in handy.

It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of...

Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.

Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...

Place the data in a box. Pupils experiment with placing dividers within a data set and discover a need for a systematic method to group the data. The 14th lesson in a series of 22 outlines the procedure for making a box plot based...