Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 4
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
EngageNY
Counting Problems
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...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
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...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 3
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete the...
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Mathed Up!
Algebra: Substitution
The sixteen problems in this resource present opportunities for pupils to practice substituting into algebraic expressions. Scholars evaluate algebraic expressions for given values of the variables. In a few cases, class members need to...
Mathed Up!
Best Buys
Which scenario is the better deal? Class members examine nine scenarios to determine which choice offers a better deal. Pupils decide whether they need to find unit costs or total prices to compare the two options.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
Balanced Assessment
Fermi Number
A fermi number is a rough estimate of a quantity that is difficult or impossible to measure. Individuals design a process for making an estimation of a given scenario. For example, they determine a plan for estimating the number of...
Yummy Math
US Holiday Candy Sales
Candy is a big business! Calculate the amount of money consumers spent on major holidays—Easter, Halloween, Christmas, Hanukkah, and Valentine's Day—based on the total amount of candy sales from 2011 and the percentage of each holiday's...
Mathematics Assessment Project
Solving Linear Equations
Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching equations, situations,...
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Mathematics Assessment Project
Designing a 3d Product in 2d: a Sports Bag
Sew up pupil interest with an engaging, hands-on lesson. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses of included...
Mathematics Assessment Project
Expressions and Equations
Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.
Mathematics Assessment Project
Fencing
Nail this assessment task to your list of resources. Learners must set up equations to model the cost of fencing that includes posts and panels. They then determine the cost of a fence with a specific number of posts and panels.
Mathed Up!
Negative Numbers
Eight independent worksheet pages challenge scholars to solve 12 problems that focus on negative numbers in the context of temperature in degrees of celsius.
Utah Education Network (UEN)
Real World Equations and Inequalities
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Utah Education Network (UEN)
Expressions and Equations Part 1
Express your love of equations! Pupils first learn to write and simplify numerical and algebraic expressions. Then, create and solve two-step equations. The progression is a great way to introduce the concept slowly.
Utah Education Network (UEN)
Probability, Percent, Rational Number Equivalence
Start seventh grade with a bang with the first chapter of an eight-part seventh-grade workbook series that asks learners to work through problems involving simple probability, percents, and rational number equivalence.
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and relationships....
Mathed Up!
Fractions, Decimals, and Percentages
After watching a video on making conversions, young mathematicians solve 16 math problems that involve making conversions of fractions to decimals and percents, decimals to fractions and percents, and percents to fractions and decimals.