In this parallel and perpendicular line instructional activity, students find equations of a line, then determine an equation of a line that is parallel or perpendicular to the original one. They graph problems and plot points. There are...

Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.

Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.

Find the age of a fictional sample of rocks using a genuine approach. A well-designed lesson asks young mathematicians to use exponential modeling to analyze half-life. As a project-based learning activity, scholars communicate...

Quiz your learners on density, mass, and volume with six equations. Each equation prompts kids to consider an object made of a different material, and to find the desired measurement.

This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...

Combine math, creative writing, and leprechauns in a fun St. Patrick's Day activity! Using a bag of gold coins and marshmallows, kids write a math story about a leprechaun that includes a multi-step equation to solve.

Use a simple warm-up that has pupils solving math equations to determine the number of reps for a certain exercise. Learners use mental math to solve basic equations. Next, they must do the same number reps of whatever exercise...

Examine the concept of stoichiometry using common household products. Scholars perform chemical reactions and measure the reactants and products. They compare their measurements to predictions made from the chemical equations.

How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...

Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...

Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...

Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...

Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...

Working in groups, learners research four countries' populations over the past 30 years. Using the data collected, the teams find regression equations that best fit the data. Taking the regression equations, they then make predictions...

Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...

Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth instructional activity in a unit of 23. Scholars analyze basic...

Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...

Create a graph for anything in the world. Pupils continue to work with graphs that model situations. The learners analyze different graphs to answer questions about the scenario along with finding equations of graphs. Scholars use...

Find a solution in the field. An informative video presentation shows pupils how to use the information from a slope field to sketch the graph of a particular solution to a differential equation. Individuals learn how to determine the...

The more you know, the better your predictions! Using a hands-on lab experiment, collaborative groups collect information about ionic interactions. They record data describing the precipitate of reactions and use their information to...

Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

Apply slopes and not slipping. Learners discover the relationship between slopes of parallel and perpendicular lines. Individuals use that information to find equations of lines through a given point that is either parallel or...