What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...

Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...

The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...

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...

Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The...

Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...

Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...

Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...

Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 

In this proportional reasoning worksheet, students use proportions to solve discount and sale problems. This two-page worksheet contains 4 multi-step problems.

In this ratio applications worksheet, 8th graders solve and complete 24 various types of problems that include proportional reasoning. First, they solve each pair of similar figures for the given variable. Then, students write and solve...

Direct change by finding the constant. Using two known values within a direct proportion, the resource shows how to find the constant of proportionality. Once individuals do that, they then find any value given the other. The video works...

Middle school math masters use ratios to determine the missing dimensions of various HD television screens. They also compare different dimensions of screens and determine whether or not they fit the same ratio. They perform similar...

In this proportions instructional activity, students identify and complete 8 different problems that include using proportions to build scale models of various animals. First, they use the scale to complete the chart and draw lines...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

Cut-and-paste a great activity into your lesson plans. Scholars analyze real-world problems involving proportions. To change things up a bit they cut-and-paste quantities to create a proportion on their way to solving the problems.

Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...

It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...

Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...

Challenging worksheets to drill your mathematicians as they crunch numbers to find the proportional relationship using fractions.

This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...

Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.