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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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....

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...

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...

Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...

Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...

Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...

The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...

You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...

Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept. 

Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...