Assessment
Achieve

Ivy Smith Grows Up

For Students 9th - 12th Standards
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Lesson Plan
Curated OER

Comparing Linear and Exponential Functions

For Teachers 9th - 12th Standards
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Lesson Plan
Curated OER

Comparing Linear and Exponential Data

For Teachers 9th - 12th Standards
Students graph linear and exponential equations. In this algebra activity, students differentiate between linear and exponential equations. They relate it to the real world.
Lesson Plan
Curated OER

Application of Graph Theory

For Teachers 9th - 11th
Students investigate different online tutorials as they study graphing. In this graphing lesson, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.
Lesson Plan
Curated OER

Sandia Aerial Tram

For Teachers 9th - 12th Standards
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
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...
Unit Plan
Mathematics Vision Project

Features of Functions

For Teachers 9th - 10th Standards
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Lesson Plan
Curated OER

Peter's Third String

For Teachers 6th - 9th
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
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

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,...
Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Lesson Plan
Curated OER

Investigation - Looking For Triangles

For Teachers 7th
Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
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...
Lesson Plan
EngageNY

Modeling a Context from Data (part 2)

For Teachers 9th - 10th Standards
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Worksheet
Curated OER

Algebra 1: Unit 5 Review

For Students 6th
In 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.
Lesson Plan
Curated OER

Exponential and Exponents Functions

For Teachers 9th - 11th
Students solve problems using exponential properties. In this algebra lesson, students differentiate between exponents, exponential and log functions. They graph their functions using table and exponents.
Activity
Howard County Schools

Generous Aunt

For Teachers 9th - 11th Standards
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
Assessment
Illustrative Mathematics

Modeling London's Population

For Students 9th - 12th Standards
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Lesson Plan
Curated OER

How Long Can You Go?

For Teachers 8th
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...
Lesson Plan
Curated OER

Basketball Bounces, Assessment Variation 1

For Teachers 9th - 12th Standards
This highly scaffolded, summative assessment tasks learners to choose the model that represents the height of a bouncing basketball given the data in graph and table form. Learners then use the model to answer questions about the...
Worksheet
Math Guy

Algebra 1 Practice Final

For Students 8th - 11th Standards
What makes this resource special? The amazing answer key that comes with worked out solutions and notes for each problem. Practice problems include all topics ranging from linear systems to simplifying exponential expressions. The...
Worksheet
Curated OER

Analyzing Cubes

For Students 9th
In this analyzing cubes worksheet, 9th graders solve and complete 6 different types of problems. First, they organize the given data into the table provided. Then, students study the patterns in the table and tell whether the pattern of...
Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...