Curated OER
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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Graphs and Direct Variation
Students solve problems with direct variation. In this algebra instructional activity, students analyze graphs to figure out the direct variation of a line. They observe the slopes based the steepness of the lines.
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Determining Functions
Students determine whether given examples represent functions, or not. In this algebra lesson, students analyze algebraic relations in order to hone their understanding of functions. They analyze the graphs to determine relationship...
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Graphing Radical Functions-A Graphic Introduction
For this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior. students use that information to transform the graphs of root functions. The...
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Transformations: Dilating Functions
Students dilate functions using transformation. For this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.
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Graphs of Functions
In this graphs of functions worksheet, students use a table of information on packages of gum/total pieces per package to solve a set of 6 word problems.
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Transformations and Translation of Functions
Students translate functions horizontally and vertically. For this algebra lesson, students identify the parts of the formula that allows the graph to move left, right, up and down. They perform a transformation on the coordinate plane.
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Graph Trigonometric Functions
In this graphing trigonometric functions worksheet, students graph 1 sine equation. Students plot the graph of the function y=-0.5sin(-3x).
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Graph a csc Trigonometric Function
For this trigonometry function worksheet, students graph one csc function with transformations. A grid for graphing is provided.
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Finding a Line of Best Fit
Pupils engage in the practice of creating a scatter plot with the data obtained from measuring different resting heart rates. The data is used to create the table that is translated into a graph. The instructional activity gives...
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Tables and Linear Graphs
In this tables and linear graphs activity, students examine linear functions. They solve equations and graph them on a coordinate plane. This four-page activity contains 8 multi-step problems. Answers are provided on the last page.
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Find Parabolas through Two Points
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
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A Saturating Exponential
Your learners analyze the familiar model of a cold beverage warming when it is taken out of the refrigerator. The general form of the equation and its graph are presented. Learners learn about the specific pieces of the function by...
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Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions....
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Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
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Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
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The Coordinate Plane
Use this Saxon math coordinate plane worksheet to have your learners utilize a graphing calculator, equate the vertices of a rectangle, and then graph their conclusions as well as answer a variety of fill in the blank equations.
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Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
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Curve Ball
Create a Height-Time plot of a bouncing ball using a graphing calculator. Graph height as a function of time and identify the vertex form of a quadratic equation that is generated to describe the ball's motion. Finally, answer questions...
101 Questions
Ferris Wheel
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
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Number Line: Negative Numbers
In this graphing calculator worksheet for the TI-83 calculator, students first observe a demonstration for calculating negative numbers. Next, students use their graphing calculator to answer 6 thoughtful T/F and short answer...
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs and...
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Area of Regions
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
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