Assessment
Concord Consortium

Swimming Pool II

For Students 10th - 12th Standards
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Assessment
Concord Consortium

Swimming Pool I

For Students 9th - 11th Standards
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
Assessment
Concord Consortium

Sum and Product

For Students 8th - 11th Standards
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
Assessment
Concord Consortium

Squares and Cubes

For Students 9th - 10th Standards
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis...
Assessment
Concord Consortium

Circumscribed Polygon

For Students 11th - 12th Standards
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
Assessment
Concord Consortium

City of New Orleans

For Students 9th - 12th Standards
In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...
Assessment
Concord Consortium

Cities and Gas Stations

For Students 7th - 12th Standards
In Utah, one stretch of highway goes for 106 miles without a single gas station. Where should people build one? Scholars face the dilemma of where to place a new gas station between three cities. They consider distance and proximity to...
Assessment
Concord Consortium

Crossing the Axis

For Students 10th - 12th Standards
Mathematicians typically reference eight different types of functions. Scholars learn about the requirements for graphing a function and must decide how many different functions fit. To finish, they define each specific function meeting...
Assessment
Concord Consortium

Cultural Growth

For Students 11th - 12th Standards
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
Assessment
Concord Consortium

Defining Logarithms

For Students 11th - 12th Standards
An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...
Assessment
Concord Consortium

Divisions

For Students 7th - 12th Standards
Divide and conquer the geometry problem. Young scholars consider how to subdivide triangles into smaller ones that have equal areas. They must apply their knowledge of medians to help accomplish the task.
Assessment
Concord Consortium

Flying High

For Students 7th - 12th
Some planes are just more efficient than others. Young mathematicians use data on the number of seats, airborne speed, flight length, fuel consumption, and operating cost for airplanes to analyze their efficiency. They select and use...
Assessment
Concord Consortium

From Tan to Ten

For Students 10th - 12th Standards
Combine simplifying trigonometric expressions with evaluating them! An open-ended question presents a trigonometric expression and numeric values for additional expressions. Learners must determine a value for the original expression by...
Assessment
Concord Consortium

Integer Solutions

For Students 7th - 10th Standards
Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.
Assessment
Concord Consortium

Intersections II

For Students 8th - 12th Standards
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Assessment
Concord Consortium

King for a Day

For Students 9th - 12th Standards
Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...
Assessment
Concord Consortium

Intersections I

For Students 8th - 12th Standards
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
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.
Assessment
Concord Consortium

Look but Do Not Touch

For Students 9th - 12th Standards
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.
Assessment
Concord Consortium

Keeping Pace

For Students 9th - 12th Standards
What came first, pedestrian one or pedestrian two? Scholars consider a problem scenario in which two people walk at different rates at different times. They must decide who reaches a checkpoint first. Their answers are likely to surprise...
Assessment
Concord Consortium

"Equal" Equations

For Students 7th - 12th Standards
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
Assessment
Concord Consortium

Dubious Dice

For Students 9th - 12th Standards
How many ways can you slice dice distribution? A short performance task asks pupils to consider different types of distributions. Given histograms showing a triangular distribution and a bimodal distribution, they create pairs of dice...
Assessment
Concord Consortium

Looking through a Window

For Students 7th - 12th Standards
Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.
Assessment
Concord Consortium

Losing Track

For Students 9th - 12th Standards
Don't lose the chance to use the task. Given three diagrams of curved pieces of wires, young mathematicians must explain whether it's possible to conclusively match the wires as representing cubic, exponential, or quadratic functions....

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