K20 LEARN
You’re The Network: Data Analysis
How do you rate? Young scholars use graphical data to analyze ratings of different television episodes. Their analyses include best-fit lines, mean, median, mode, and range.
Mathematics Vision Project
Module 9: Modeling Data
How many different ways can you model data? Scholars learn several in the final module in a series of nine. Learners model data with dot plots, box plots, histograms, and scatter plots. They also analyze the data based on the data...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Concord Consortium
Center of Population
Let the resource take center stage in a lesson on population density. Scholars use provided historical data on the center of the US population to see how it shifted over time. They plot the data on a spreadsheet to look the speed of its...
Concord Consortium
Swimming Pool II
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 determine...
Concord Consortium
Swimming Pool I
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...
Concord Consortium
King for a Day
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...
PBS
The Lowdown — Examining California's Prison System: Real-World Ratio
Free yourself from the shackles of traditional math lessons. Young mathematicians investigate race, gender, and age differences in California's prison system. They use provided graphics to compare the prison population with the state's...
Corbett Maths
Inverse Proportion
Take an indirect view of proportionality. Using a similar approach of direct variation, the resource shows how to solve inverse proportions. The video steps through finding the constant of proportionality to write the formula for the...
Corbett Maths
Instantaneous Rates of Change
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
Corbett Maths
Average Rate of Change
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
College Board
2005 AP® Macroeconomics Free-Response Questions
What is the relationship over time between unemployment and inflation? Learners explore this question using authentic College Board problems. Other questions evaluate the supply and demand of loanable funds and the concept of gross...
ProCon
Gun Control
According to some estimates, there are more guns than people in the United States. Learners decide if America should enact more gun control laws. They analyze information about gun deaths in the United States by year, read about the...
ProCon
Obesity
Is obesity a disease or just a preventable risk factor for other diseases? Scholars attempt to form their own opinions by reading a background of the issue and watching videos that explore the main pro and con arguments using an included...
Concord Consortium
Outward Bound
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
Concord Consortium
Rectangle Space
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
Radford University
Midsummer Classic’s Homerun Derby
Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...
EngageNY
Introducing the Performance Task Prompt and Beginning a Visual Representation
What exactly is a visual representation? Scholars use a think-pair-share to answer questions and record their information on anchor charts. Next, they use what they've learned to create visual representations of their position papers on...
US Department of Commerce
Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance
Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...
US Department of Commerce
Over the Hill - Aging on a Normal Curve
Nobody is too old to learn something new. Young statisticians analyze census data on the percentage of the population older than 65 years old in US counties. They fit a normal distribution to the data, determine the mean and standard...
EngageNY
The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
Flipped Math
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
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