College Board
1999 AP® Microeconomics Free-Response Questions
Imports often affect the production of domestic goods. Scholars consider the variables in this situation with a scaffolded prompt from College Board. Other items examine factors in production and compare the production advantage between...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
PHET
Equality Explorer
Find the right balance between concrete and abstract thinking. After using interactive balances to explore inverse operations, learners solve multi-step equations with variables on both sides. Of course, they can still use the...
Radford University
Land Development
Groups work with polynomials to devise functions that will model a selling price for property. The teams determine variables to create expressions to represent the cost required to develop land into a housing addition. Classmates then...
Radford University
Mathematical Modeling: Lesson 1
Will more deer result in more big game licenses? Scholars first research data on the number of deer and the number of big game licenses in Virginia between 1990 to 2009. They apply polynomial, exponential, and logarithmic regression to...
Radford University
Mathematical Modeling: Lessons 2-3
Not all functions are created equal. Pupils apply regression analysis using polynomial, exponential, and logarithmic functions to investigate the relationship between variables and to decide which function would be best to model the...
Radford University
Body Measurement Activity
Don't keep the resource at an arm's length. A hands-on activity has scholars measure the heights, arm spans, hair lengths, and foot lengths of their classmates. They create scatter plots to determine if there is a correlation between...
Radford University
The Normal Distribution Activity
For whom does the bell fit? Pupils begin by working in groups gather data on three different variables. They then determine the mean and standard deviation of each data set and create bell curves. To finish, they answer guiding questions...
Radford University
Exploring Types of Variation Activity
Create a variable list of problems. Groups come up with four scenarios. Each situation represents different types of variation, direct, inverse, joint, and combined. Teams then generate questions about their contextual problems for...
Las Cumbres Observatory
Star In a Box
Stars may all look the same from down here, but their surfaces tell a different story. Using an animation, learners collect data about the temperature and luminosity of stars and compare them to their mass and radius. They then answer...
Bonneville
Titanium Dioxide Raspberry Solar Cell Data Sharing
Concerned about how well others did on the experiment? Scholars share results from the titanium dioxide raspberry solar cell test they performed in the previous lesson. After analyzing the data, they come up with a claim about the...
Flipped Math
Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
PBS
Blowin’ in the Wind
Wind energy is making a comeback recently, and classes will want to take part! A hands-on lesson asks groups to build their own windmill that will lift a cup with varying weight. They use their windmill designs to experiment with angles,...
Utah Education Network (UEN)
Expressions and Equations
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
PBS
Light Absorption: Effects of Light | UNC-TV Science
Beat the summer heat by exploring the properties of color. Scientists view a video explaining the relationship between light absorption and energy transfer using variables including intensity, time, and wavelength. A multiple-choice...
Bonneville
Compost Bioreactor Design
Organic waste is a hot topic. The second of three installments in the Bioreactor Water Heating unit challenges pupils to create bioreactors that collect energy released from compost. After watching videos on the properties of water and...
GLOBE Program
Calculating Relative Air Mass
Combine math and science with fun in the sun! Scientists build a solar gnomon using reusable materials to calculate relative air mass. Mathematicians measure the pole's shadow and use the data to solve for relative air mass....
American Statistical Association
Nonlinear Modeling: Something Fishy
There are plenty of fish in the sea, but only a few good resources on regression. Young mathematicians first perform a linear regression analysis on provided weight and length data for fish. After determining that a linear model is not...
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
Curated OER
Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at the...
Curated OER
Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Curated OER
Examine the Data
Seventh graders examine a teacher-created database and identify specific variables and develop hypothesis statements as to their possible effect. They create a summary statement either proving or disproving their hypothesis.
Curated OER
Measuring Temperature and the Production of CO2 in Yeast
Learners use a model experiment to complete an experiment on yeast. In groups, they identify the independent and dependent variables and use the scientific method to complete the activity. They record their observations and discuss them...
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