Mathematics Assessment Project
Ratios and Proportional Relationships
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.
Kentucky Educational Television
The Road to Proportional Reasoning
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 last day of...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided sample...
Mathematics Assessment Project
Classifying Proportion and Non-Proportion Situations
Proportions, proportions, everywhere. Class members complete an assessment task solving problems involving proportionality. They then complete an activity classifying given situations as proportional or non-proportional.
Mathematics Assessment Project
100 People
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...
Noyce Foundation
Photographs
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.
Noyce Foundation
Lawn Mowing
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...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear relationships...
Curated OER
Proportions and Scale Factor for Measurement
Students explore the concept of proportion. In this proportion lesson, students use google maps to find the distance the their school is from home. Students discuss what a scale factor is through teacher led discussion. Students...
Curated OER
Blazing the Trail
Learning about proportions through measuring and mapping distances is the focus of this real-world math lesson that doubles as an activity. Mathematicians complete a course designed to measure and map locations in order to put the...
Bowland
Alien Invasion
Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...
Mathematics Assessment Project
Sale!
Let's save some money! High schoolers investigate different options for price reductions. They then determine the best and worst sale from a list of options.
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare them to...
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions and equations...
Curated OER
Discovering New Mexico
Seventh graders discuss the elements of maps and using basic linear measurement. They calculate the distance between the cities and create a simulated journey around New Mexico using a road map. They write out the directions for their...
Mathematics Assessment Project
A Golden Crown?
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
Bowland
Reducing Road Accidents
By making the following changes to the roads, we can prevent several accidents. A multiple-day lesson prompts pupils to investigate accidents in a small town. Pairs develop a proposal on what to do to help reduce the number of accidents....
Curated OER
Balancing the Scales: Understanding Ratios
Students are introduced to the concept of ratios. In groups, they convert sets of numbers into a ratio. After practicing, they use the ratios and proportions to solve story problems. They also calculate map distances and discover map...
Curated OER
As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
Your task today: count all the trees on a tree farm. To complete the assignment, learners first estimate the number of trees on a tree farm using random sampling. To improve their own response they then evaluate provided responses to the...
Mathematics Assessment Project
Increasing and Decreasing Quantities by a Percent
As part of a study of percent and percent change, learners first complete an assessment task with several percent change problems. They then complete an activity using cards to create a diagram expressing percent increases and decreases...
Curated OER
Aldridge Sawmill - The Story in Numbers
Seventh graders view overhead maps of Texas, explore history of Aldrige Sawmill, and practice math skills while becoming familiar with Texas' "Boom & Bust" economy and natural history of east Texas Piney Woods.
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve and...
Illustrative Mathematics
Setting Goals
Setting financial goals is a common occurrence in middle school that your learners can practice using this activity. They will be able to solve for how many hours Seth needs to work to save up for a skateboard, helmet, and trip. The...