Illustrative Mathematics
Function Rules
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
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Bouncing Ball : Function Families
A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...
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Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due 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...
Texas Instruments
Changing Functions
Your algebra 2 learners show what they can do in this assessment activity on shifting, reflecting, and stretching graphs. Given the graphs of various functions, they write the represented equation.
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Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
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How Long Can You Go?
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
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Cell Analogies!
Liken a cell and its organelles to a tiny person and its organs. After gathering information on cell structures and their functions, small groups collaborate to come up with an analogy of their own. They produce a collage describing the...
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Investigation - Patterns/Functions
Students will display the first five rows of Pascal's Triangle and discuss in their groups what patterns they see in the rows of numbers. They will give responses and discuss that these numbers form what is called Pascal's Triangle.
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Math TODAY - Breast Cancer Risks
Learners explore data that be modeled by a logistic function. They have the opportunity to study real-life data and create a mathematical function to model the data and make a prediction.
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Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
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Linear Functions
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
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Mathematical Jeopardy
Middle schoolers use the popular game of Jeopardy to explore different mathematical concepts. They are highly engaged with the use of technology for this lesson. They function using higher-order thinking skills in order to create their...
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What's My Function?
Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
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Exploring Trigonometric Functions
Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
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Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
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Calculator Curiosities: Order of Operations, Domain, And Inverse Functions
In this math worksheet, students investigate the concepts of order of operations, domains, and inverse functions while using a calculator.
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Function Machines
Sixth graders complete a function table and determine a rule for the use of one. They graph different functons from the tables. The analogy of a machine is used as an example for teaching students about functions.
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Introduction to Inverse Functions
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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The Function Machine
Fourth graders solve division problems by practicing on function machine.
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The Function Box
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
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Properties of Logarithmic Functions
Young scholars solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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Exploring Multiplication Functions
Fourth graders investigate the terms "factor" and "product." In this mathematics lesson, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
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Piecewise Modeling with Multiple Functions: Federal Debt
Young scholars analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
