EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Curated OER
Linear Inequalities in One and Two Variables: Rays and Half Planes
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written instructional activity. Learners decide the type of graph represented based on the differences in the function...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Curated OER
Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. Students determine if the data is linear or exponential by plotting the data...
Curated OER
Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. For this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Curated OER
Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
Curated OER
Finding Patterns and Graphing Functions
Young scholars investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Young scholars graph their results and...
Curated OER
MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
EngageNY
Why Do Banks Pay YOU to Provide Their Services?
How does a bank make money? That is the question at the based of a activity that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern.
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The instructional activity leads learners through a process to develop...
Curated OER
Functions & Algebra
Young scholars examine linear equations. For this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Curated OER
Linear Relationship
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in slope- intercept form. Answer key included.
Curated OER
Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
EngageNY
Analyzing a Data Set
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 to...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Curated OER
Move It
Studens collect and graph data. In this algebra activity, students use a CBL and CBR with a TI Calcualtor to observe linear graphs. They use the correct vocabualry as they discuss the collected data.
Curated OER
That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...