Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...

What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...

What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...

Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...

Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...

Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...

Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...

Transform your pupils into mathematicians as they learn to prove the popular Pythagorean Theorem. The 16th lesson in the series of 25 continues by teaching learners how to develop a proof. It shows how to prove the Pythagorean Theorem...

Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...

Use powers of 10 to convert between fractions and decimals. Pupils convert decimals to fractions by using place values in the 13th installment of a 25-part series. Class members reverse the process and find equivalent fractions with a...

Use more than one whole to solve percent problems. The ninth installment in a 20-part series has pupils work percent problems in which they must determine two wholes. Individuals use double number lines to represent and solve the...

What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...

Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.

Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...

Connect algebraic and geometric concepts to solve problems. The first instructional activity in the 29-part series examines complementary and supplementary angle relationships. Scholars write equations to represent the relationships and...

Discover how to apply the commutative and associative properties to generate equivalent expressions. The second lesson in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they can combine...

Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...

Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...

The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...

The class makes the connection between finding the area of a right prism and a right pyramid in the 23rd installment in a series of 28. The pupils find the surface area of figures created by stacked cubes and prisms with cutouts.

Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...

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 build confidence working with percents as they work several types of percent problems to increase their fluency. The resource contains two sets of problems specifically designed to build efficiency in finding solutions of basic...

Individuals measure a computer monitor and determine how accurate their measures are. The eighth segment in a series of 20 introduces the concept of percent error. Pupils find the percent error of their measurements and discuss the...