Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Acid-base Homework Problem Set 2
In this acid-base reaction worksheet, students calculate the ion concentration and pH for 6 solutions, graph titration results for 11 reactions and use Henderson-Hasselbach equations for three problems.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Ellipse
Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...
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Ellipse
Students find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.
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Parabolas
In this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers are...
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Multiplying Monomials
High schoolers differentiate between linear and quadratic functions. In this algebra activity, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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Parabolas
In this parabolas worksheet, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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Graphs and Functions
Pupils are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Polynomial Functions
Students explore polynomial functions. For 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...
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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
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Polynomials Degree and Finite Differences
In this algebra worksheet, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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Linear Functions: Are You Ready for the REAL World?
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
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Bouncing Ball Experiment
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
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Complex Number
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
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Get a Half-life!
High schoolers explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. High...
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Leap Into Exponential Functions
Young scholars use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
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Iterating the Function over Real Numbers
Students use a spreadsheet to find sequences of numbers. In this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
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Using the Distance Formula
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
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Transforming Parabolas
In this Algebra II activity, 11th graders examine the affects of changing h and k in the vertex form of the parabola. The three page activity provides explanation of topic, worked examples, and four practice problems. Answers...
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Introduction To Data Analysis
Seventh graders investigate the concept of looking at the data put in a variety of ways that could include graphs or data sets. They analyze data critically in order to formulate some sound conclusions based on real data. Students graph...
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Vertical and Horizontal Translations
Eleventh graders study seven functions. They use their handheld calculator to determine which family of functions the equation belongs, the parent function described, and they calculate the vertical and horizontal translation.