Illustrative Mathematics
Hours of Daylight 1
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
Flipped Math
Calculus AB/BC - Connecting Multiple Representations of Limits
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
Balanced Assessment
Telephone Service
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Curated OER
Introduction to Linear Functions
Young scholars 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...
Curated OER
VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
Curated OER
Graphing Integers
Fifth graders complete an integer graphing activity. In this integer graphing lesson, 5th graders use coordinate grids to help them complete linear functions and integer graphing.
Curated OER
Graphing Linear Functions
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
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Linear Functions
In this linear function worksheet, 6th graders solve and complete 3 various types of problems. First, they write the equation of a straight line that passes through a pair of points. Then, students complete each table by filling in the...
Curated OER
Polynomial Functions
Students explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation...
Curated OER
Rational Functions and Their Graphs
In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page activity contains explanation of topic, several...
Curated OER
Generating Points and Graphing
Young scholars create a table of values to help them plot. In this algebra lesson, students plot their points on a coordinate plane creating a graph. They observe and analyze linear functions.
Curated OER
Using Graphs and Charts
Students complete T charts and manipulate numbers using graphs and charts. In this math graphs and charts lesson plan, students review the concepts of pattern and function. Students then complete practice pages where they manipulate...
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More Complicated Functions: Introduction to Linear Functions
Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in...
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
Curated OER
Function Tables
Students practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.
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Composite Functions
Students create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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Get the Picture with Graphs
Fifth graders examine line, bar and circle graphs in the newspaper and on the Internet. They complete sketches of graphs with an emphasis on selecting the best model to depict the data collected.
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Linear Functions
Students solve and graph linear equations. In this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Algebra—Quadratic Equations and Functions
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Curated OER
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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Introduction to functions
In this functions worksheet, students plot points on a graph according to the rule. Students plot 7 points on each of the 2 graphs given to them.
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Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...