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Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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Chapter 2 Practice test
Overall, this worksheet contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...
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Chapter 4 Test: Functions and Integers
In this functions and integers worksheet, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...
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Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
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Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
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Identify and Graph Linear Equations
Students investigate linear functions. In this mathematics activity, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
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Linear Functions of Two Variables
In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
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Building Understanding of Rate of Change/Slopes Using Alice
Students explore slope as a rate of change. In this eighth grade mathematics instructional activity, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining...
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Exponential Graph Functions
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for each...
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Graphing and Interpreting Linear Equations in Two Variables
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Wind-Up Car
Students produce an equation from a graph, based on an engineering-context story provided. In this production of equations instructional activity, students write an equation given the graph and description. Students also describe what...
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Linear Functions
In this algebra worksheet, learners identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
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Mathematics of Doodles
Students use the slope and y-intercept to graph lines. In this algebra lesson plan, students graph linear equations and apply it to solving real life problems.
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Applying Linear Functions
In this algebra worksheet, students rewrite word problems using algebra and relate linear functions to real life scenarios. There are 2 questions with an answer key.
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Calculus 30: Domain and Range
In this domain and range worksheet, students find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
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Connecting Factors and Zeros
In this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
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Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
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Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, young scholars explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson plan is designed to...
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Flipping Coins: Density as a Characteristic Property
Young scholars explore linear functions in a crime solving context. They collect and analyze data using linear equations, then interpret the slope and intercepts from a linear model.
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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.
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You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic instructional activity, students draw lines that intersect a cubic at three different...
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Linear and Exponential Models
High schoolers investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. High schoolers determine if the data is linear or...
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Properties of Logarithms
Students explore the concept of logarithms. In this logarithms lesson plan, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log...