Return to the classic word problem with these speed scenarios. Learners use some combination of the variables speed, distance, and speed to solve six problems, all of which ask for one of these as an answer. The examples do a nice job of...

My, what big ears you have! Novice JavaScript programmers adjust Mickey's ears to be proportional with his face and any changes to it. The key is to use variable expressions so that the values used are dependent upon the variable that...

Clothing design, do you know any teenagers that are interested in that? How about mixing what they have learned about JavaScript programing and the creativity of designing a piece of clothing? This activity does just that. Practice the...

Combine creativity and coding in an activity where you are free to create your own animal. Try for something recognizable or not, the design is up to your unique students. The challenge is to use variables and variable expressions so...

Resistance is not futile, it is voltage divided by current. A creative simulation presents a wire graphic and allows participants to alter the area, length, and resistivity. As scholars increase or decrease a variable within the...

Is the transfer of energy different in bumper cars with stable versus bouncy bumpers? One of the variables explored in the simulation is bumper type; other variables are the mass and velocity of each car. This allows pupils to see the...

Does the depth of a pond matter to the waves created when rain is falling? Many people assume the answer is no, but interestingly, it does matter. Pupils explore this concept and other variables related to wave behavior through a...

Touch screens are becoming more common, but how do they work? The simulation shows the electric potential versus system charge as scholars alter three variables. The schematic of the capacitance demonstrates the set up as each variable...

What variables change heart rate? Young scientists observe the beating heart in Daphnia to understand these variables. They make changes in temperature, chemicals, and other factors as they graph the heart rates. Analysis questions help...

You might not be able to learn through osmosis, but you sure can observe it! Scholars observe and measure osmosis using chicken eggs. They control for multiple variables to determine which variables have an impact and how the impact...

Why are gym walls padded and cars required to have air bags? Scholars observe two similar situations, such as those listed above, with only one variable altered. They identify the different variable and determine how the variation...

G is for generating equations. Scholars answer eight questions covering the SBAC Claim 1 Target G high school item specifications. They write one-variable and multi-variable equations and inequalities to model relationships between...

Making decisions about things like what to do after high school can be a challenge. So many factors are involved. The decision-making worksheet in this resource helps to simplify the process by asking individuals to fill in a matrix for...

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...

Take a field trip to a location where water and land meet to study patterns of sediment organization in wet habitats: river or ocean beaches, sand dunes, tidal marshes, the edge of a pond, or a woodland stream. Small groups collect pairs...