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Illustrative Mathematics

Logistic Growth Model, Abstract Version

For Teachers 9th - 12th Standards
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...
Lesson Plan
Curated OER

Relations and Functions

For Teachers 9th - 12th
High schoolers differentiate between a relation and a function. In this algebra instructional activity, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.
Lesson Plan
Texas Instraments

Getting Started Dilemma

For Teachers 8th - 10th Standards
Get out those thinking caps and apply graphing functions to a real-world problem. Use the TI-83 graphing calculator to evaluate algebraic expressions that are imbedded in a series of real-world scenarios. A great lesson!
Worksheet
Curated OER

Algebra 1: Unit 5 Review

For Students 6th
For this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.
Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
In this Algebra II activity, 11th graders graph rational functions and use the graph to solve real-life problems. The four page activity contains forty-one problems. Answers are not provided.
Worksheet
Curated OER

Exponential Functions

For Students 9th - 11th
In this algebra instructional activity, students calculate the solution using properties of exponential functions. There is an answer key.
Worksheet
Curated OER

Finding the Inverse from a List or Function

For Students 8th - 12th
In this algebra worksheet, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
Lesson Plan
Annenberg Foundation

Skeeters Are Overrunning the World

For Teachers 8th - 10th Standards
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Lesson Plan
Curated OER

Problem Solving Model

For Teachers 6th - 8th
Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Lesson Plan
Illustrative Mathematics

Delivering the Mail

For Teachers 7th - 9th Standards
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Worksheet
Curated OER

Graph Logarithmic Functions

For Students 11th - 12th
Practice graphing with this worksheet. High schoolers solve logarithms and graph the solution. This one-page worksheet contains eight problems, varying in complexity.
Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Assessment
Del Mar College

Intermediate Algebra Assessment Review

For Students 9th - 12th Standards
Put on your Algebra cap because this review provides practice on topics such as linear equations, rational expressions, and function problems. All the questions are multiple choice, and while the focus is on a few main sections,...
Lesson Plan
Curated OER

Functions in Motion

For Teachers 6th - 9th
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Lesson Plan
EngageNY

Analyzing a Verbal Description

For Teachers 9th - 10th Standards
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
Lesson Plan
West Contra Costa Unified School District

Key Features of Graphs

For Teachers 9th - 11th Standards
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...
Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...

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