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Assessment
Concord Consortium

It's In the Mail

For Students 9th - 12th Standards
It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...
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Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
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Assessment
CCSS Math Activities

Sandwich Shop

For Students 9th - 12th Standards
Eat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...
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Lesson Plan
Illustrative Mathematics

Distance across the channel

For Teachers 7th - 9th Standards
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Assessment
Mathematics Assessment Project

Buying Chips and Candy

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
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Assessment
1
1
Balanced Assessment

Local and Global Behavior

For Students 11th - 12th Standards
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in the...
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Assessment
1
1
California Education Partners

T Shirts

For Students 7th Standards
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure. Individuals finish the seventh...
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Assessment
Concord Consortium

Systematic Solution I

For Students 10th - 12th Standards
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
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Lesson Plan
EngageNY

Population Problems

For Teachers 7th Standards
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups of the...
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Lesson Plan
Curated OER

Sandia Aerial Tram

For Teachers 9th - 12th Standards
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
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Assessment
Concord Consortium

The Line and the Ellipse

For Students 10th - 12th Standards
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
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Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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Lesson Plan
Curated OER

US Population 1982-1988

For Teachers 9th - 12th Standards
Your algebra learners make predictions using the concepts of a linear model from real-life data given in table form. Learners analyze and discuss solutions without having to write a linear equation.
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Assessment
Concord Consortium

Betweenness I

For Students 8th - 11th Standards
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
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Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
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Assessment
Concord Consortium

In a Triangle

For Students 9th - 12th Standards
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
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Assessment
Bowland

Mobile Phones

For Teachers 6th - 9th
Cheaper cell phone bills? Learners compare two different cell phone plans for a specified number of minutes of phone usage each day. They also determine the conditions for which one plan is cheaper than the other.
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Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
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Lesson Plan
Curated OER

Solution Sets

For Teachers 9th - 12th Standards
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 5

For Students 8th Standards
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and spheres.
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Assessment
Noyce Foundation

Toy Trains

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

Linflower Seeds

For Students 7th Standards
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...