Illustrative Mathematics
Identifying Graphs of Functions
Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...
EngageNY
Solving and Graphing Inequalities Joined by “And” or “Or”
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
Illustrative Mathematics
Transforming the Graph of a Function
Function notation is like a code waiting to be cracked. Learners take the graph of an unknown equation and manipulate it based on three different transformation changes of the function equation. The final step is to look at three points...
EngageNY
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
Illustrative Mathematics
Medieval Archer
Class members determine the distance a video game character must move to shoot an arrow over a castle wall. Players determine the new equation to enter to represent the trajectory of the arrow and find all the distances the character can...
EngageNY
Understanding Addition of Integers
Count up or down to find sums. The third activity in a 25-part series uses number lines to build an understanding of the sums of integers. Pupils make the connection between the distance and direction of a sum from the first addend, then...
EngageNY
Addition and Subtraction of Rational Numbers
Apply addition and subtraction of integers to solve problems with rational numbers. Pupils apply the rules for adding and subtracting integers to add and subtract rational numbers. Class members represent the problem with equations and...
Teach Engineering
Projectile Magic
What do the movies October Key and Harry Potter and the Sorcerer's Stone have in common? The fourth installment of a five-part module presents equations regarding projectile motion and how to rearrange them. Scholars view video clips...
PhysEdGames
Line Math
Call out an equation and have team members walk, run, or jog to the answer in a line. Then, the next player in line goes. This non-competitive game is good for reinforcing math skills that have answers under 10.
CK-12 Foundation
Translating Sine and Cosine Functions: Translating Sine
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Sine
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
CK-12 Foundation
Horizontal and Vertical Line Graphs
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.
CK-12 Foundation
Hyperbolas
Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...
Royal Society of Chemistry
State Symbols
When water is a solvent in a chemical equation, we consider it an aqueous solution. Scholars match the name of four states of matter to their proper symbol in a chemical equation. Four puzzles provide repetition to help pupils remember...
Physics Classroom
Newton's Second Law
Physics formulas provide more interest than simple math equations thanks to an informative installment from the series on Newton's laws of motion. The formulas guide pupils' thinking about how varying a quantity affects the rest of the...
EngageNY
Solving Problems by Function Composition
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...
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
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...
Flipped Math
Slopes of Parallel and Perpendicular Lines
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...
Overcoming Obstacles
Listening Responsibly
Responsible speaker + critical listener = effective communication is the equation at the heart of a responsible listening lesson about the power of words. Class members view the clip of the courtroom scene from the film A Few...
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Curated OER
The Canoe Trip, Variation 1
Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...
Pingry School
Gas Pressure and Temperature Relationship
Humans tend to huddle together when cold and move around more when warm, but do gas particles follow the same pattern? Scholars use a temperature probe, a pressure sensor, and air to study the relationship between temperature and gas...
Pingry School
Gas Pressure and Volume Relationship
Do your high school scientists know the four methods scientists use to communicate information? A simple experiment discovering the relationship between gas pressure and volume allows pupils to practice all four. After completing the...