Balanced Assessment
Oops! Glass Top
A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the circular top...
Balanced Assessment
Telephone Service
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Balanced Assessment
Vacation in Bramilia
This performance task gives the population model of different types of flies and asks scholars to analyze the two populations. After interpreting the functions individually, participants compare the two populations and find the time when...
Balanced Assessment
Shirts and Flags
Learn the importance of geometry to tailors. Given a shirt sewing pattern, scholars determine the actual size of the shirt. After which they answer questions that require problem solving and extending their understanding of scale.
Balanced Assessment
Compact-Ness
Creating a definition may be easier than it sounds! Give your classes experience creating their own definition. Scholars examine the meaning of the compact-ness of a scatter plot and create their own definitions based on measurements.
Balanced Assessment
The Triskaidecaphobia Conference
Triskaidecaphobia is an extreme superstition to the number 13—and ironically the answer to the word problem is 13! Presented with a series of descriptive data, individuals analyze the data to determine the population size. They must...
Balanced Assessment
Cost of Living
Math scholars investigate the cost of living in Hong Kong compared to Chicago but must first convert the different types of currency. They then choose a type of graph to compare different spending categories and finish the activity by...
Mathwire
Shamrock Paths
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed worksheet that prompts learners to find the word shamrock as many times as they can.
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Illustrative Mathematics
Identifying Even and Odd Functions
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
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...
Mathed Up!
Probability
How likely is it to draw a blue marble? Pupils find the likelihood of events and connect that to the probability of the event. They find the probabilities of simple events and show their probabilities on a scale.
Illustrative Mathematics
Temperature Conversions
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
Mathed Up!
Frequency Polygons
Frequency polygons are a different way to represent frequencies over intervals. Pupils take frequencies for intervals of data from a frequency table and plot them as a frequency polygon. Budding mathematicians find information about the...
Mathed Up!
Using a Calculator
Here's a video that presents several numerical expressions to be evaluated using a calculator.Viewers come to realize that sometimes it is not just a matter of punching in the numbers, but they also need to be concerned about how the...
Mathed Up!
Angles in Polygons
Show your class that finding angle measures is a regular calculation with a resource that provides 12 problems dealing with the measures of angles in regular polygons. Pupils use formulas for the sum of measures of angles in a polygon to...
Mathed Up!
Reflections
Tracing paper is not just for art anymore — pupils can use it to find reflected images, too! Two videos show how to reflect images using tracing paper and find the reflection between the pre-image and image. Learners perform reflections...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Mathed Up!
Stratified Sampling
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a activity of questions on this topic.
Mathed Up!
Proof
Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
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