EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Texas Instruments
Finding Linear Models Part III
Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
EngageNY
The Motion of the Moon, Sun, and Stars—Motivating Mathematics
What does math have to do with the behavior of the earth and sun? Learn how the movement of celestial bodies has influenced the development of trigonometry. Scholars connects the details in mathematics to their real-world meaning.
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Curated OER
Temperature Conversions
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Curated OER
Substitution "Plugging In"
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
Curated OER
Cell Phones
Your texters will enjoy assessing their knowledge of function notation in this simple set of exercises. They will also interpret function notation in terms of the given context.
West Contra Costa Unified School District
Key Features of Graphs
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using graphs.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
Howard County Schools
Exponential Decay Exploration
How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
Curated OER
Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
Curated OER
Mathematical Modeling
Study various types of mathematical models in this math lesson plan. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they...
Curated OER
Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
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