Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
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...
Assessment
Achieve

Greenhouse Management

For Teachers 8th - 10th Standards
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
Assessment
Concord Consortium

Heights and Weights

For Students 7th - 9th Standards
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Worksheet
Curated OER

Ratio & Proportion for Algebra I

For Students 7th - 8th
In this ration & proportion for Algebra I activity, students answer twenty-three word problems involving ratio and proportion.
Worksheet
Curated OER

Proportions

For Students 8th - 10th
In this proportions worksheet, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
Assessment
Mathematics Assessment Project

100 People

For Teachers 6th - 8th Standards
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...
Worksheet
Curated OER

Equivalent Ratios (Homework 18.2)

For Students 5th - 6th
In this ratios worksheet, students solve 20 problems that pertain to equivalent ratios and writing ratios in the simplest form.
Lesson Plan
Curated OER

Effects of Changing Dimensions Proportionally

For Teachers 10th
For this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area.  The one page worksheet contains six problems.  Answers are...
Worksheet
Helping with Math

Ratio and Proportion: Writing Ratios (1 of 2)

For Students 4th - 6th Standards
Here is the first of two printable ratio worksheets. For the first three problems, pupils count the numbers of two different objects and simply write down the ratios. There are then four problems in word form for which they also write...
Worksheet
Helping with Math

Ratio and Proportion: Simplifying Ratios (1 of 2)

For Students 5th - 10th Standards
Here is a set of 24 pairs of numbers for which kids reduce the ratios to their simplest form. It is a simple and straightforward assignment, meant by the publisher to address CCSS.Math.Content.6.RP.3. Note, however, that it only requires...
Assessment
Noyce Foundation

Lawn Mowing

For Teachers 6th - 7th Standards
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...
Assessment
1
1
California Education Partners

Photos

For Students 7th Standards
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
Lesson Plan
Illustrative Mathematics

Buying Protein Bars and Magazines

For Teachers 6th - 8th Standards
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Lesson Plan
Curated OER

Solving Problems and Proportions

For Teachers 7th - 10th
In this proportion worksheet, learners read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
Lesson Plan
02 x 02 Worksheets

Proportions

For Teachers 7th
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.
Assessment
Achieve

Corn and Oats

For Students 6th - 10th Standards
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis. 
Lesson Plan
University of Nottingham

Drawing to Scale: A Garden

For Students 6th - 9th Standards
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Worksheet
Curated OER

Ratio Word Problems: Multiple Choice

For Students 5th - 8th
Learners complete ratio word problems containing one and two-digit numbers. They complete 10 multiple choice questions.
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Worksheet
Curated OER

Simplifying Ratios

For Students 10th
In this simplifying ratios worksheet, 10th graders solve and complete 24 various types of problems. First, they complete each ratio and reduce when necessary. Then, students find the length and width of each rectangle described. They...
Worksheet
Curated OER

Using Proportions

For Students 8th - 12th
In this similarities worksheet, students set up ratios and solve proportions using algebra. All of the equations turn out to be linear with no quadratics to solve. There are 20 questions.  
Worksheet
Curated OER

Ratio Problems and Bar/Block Models Two

For Students 5th - 8th
Learners complete word problems about ratios using fractions, money, and more. Pupils complete four problems.
Worksheet
Curated OER

Equivalent Ratios (Practice 18.2)

For Students 5th - 6th
In this ratios worksheet, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.
Lesson Plan
Curated OER

Worksheet #4: Simplify Algebraic Expressions With Two Variables

For Teachers 9th - 10th
In this algebraic expression worksheet, students simplify algebraic expressions and solve proportions, and write equations from story problems. Thirteen of the 49 problems are fill in the blank, and the remainder are multiple choice.