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Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Concord Consortium
Summertopia
What if the unit of money changes tomorrow? Would you be prepared? Learners calculate currency conversions using fictional units of money. The fictional unit's base is 60 rather than 100, which can connect to time or even degrees.
Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might...
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Mathematics Assessment Project
Patchwork
Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Balanced Assessment
Confetti Crush
In the first part of a middle school assessment task, learners analyze a given statement about the amount of confetti revelers throw at Times Square on New Year's Eve. The second part of the task requires learners to identify objects...
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Balanced Assessment
Time Line
Use a graph to tell a story! Given a graph, young scientists create a story to match. They must provide their own axes labels and description of the scenario. The graph has increasing, decreasing, and constant sections.
Balanced Assessment
Dollar Line
Challenge the class to develop a story that matches a graph. The short assessment provides a line graph with the vertical axis labeled as dollars. The task asks pupils to develop a description of a situation that could be represented by...
Illustrative Mathematics
Rainfall
Find the how long it has been raining based upon the amount of rainfall. Scholars analyze a table of the amount of rainfall as a function of time. Pupils first determine whether the function is invertible, then they find and interpret...
Illustrative Mathematics
Bank Account Balance
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...
CK-12 Foundation
Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
CK-12 Foundation
Scientific Notation: Light Years to Centaurus Constellation
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
CK-12 Foundation
Functions that Describe Situations: Manny's Mang-o-gurt
How much does it cost to add more mangos? An interactive allows users to see how the price of frozen yogurt changes based on the number of scoops and the number of slices of mango. Learners then answer a set of challenge questions...
CK-12 Foundation
Visual Patterns: Building the Queen's Tower
A resource fit for a queen. Scholars recognize and continue a pattern in towers people are building for a queen. They write and use an algebraic expression for the number of tiles in the towers.
CK-12 Foundation
Solving Real-World Problems Using Multi-Step Equations: Bowling Ball Delivery
How many bowling balls can a truck carry? A slider interactive changes the weight of boxes and the number of bowling balls per box. Investigating with this slider lets users find the maximum number of bowling balls.
CK-12 Foundation
Evaluate Expressions with One or More Variables: Water Bottle Expression
Fill your mind as you fill virtual water bottles. Pupils use an interactive to find the amount of water that can fit in given containers. Writing and evaluating an algebraic expression helps with this task.
CK-12 Foundation
Expressions for Real-Life Situations: Shopping for Sisters
Shopping for a resource on writing algebraic expressions? Look no further. Pupils use an interactive to drag shirts and pants out of a shopping bag. They create and evaluate an expression to represent the cost of the clothes.
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