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Parametric Equations
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson plan for...
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Functions / Domain
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Composition Of Functions
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson plan for guided practice with scaffolding provided by the teacher.
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Types of Functions
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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Applications Of Rational Functions
Students engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...
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Family Forms
Students discuss how the family structure has changed over time. In groups, they identify the strengths and weaknesses in each family form and functions. To end the lesson plan, they share their own family's structure and take a short...
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Algebra 2 - Linear Programming
Young scholars read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...
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Find Minimum and Maximum
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
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Using Symmetry to Find the Vertex of a Parabola
Learners engage in a lesson that is about finding the vertex of a parabola while using symmetry. They use the symmetry to find out where the two lines meet. The line is displayed with the help of a graphing calculator. The lesson...
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The Standard Form of A Quadratic Equation
Students investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...
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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 lesson gives instructions for the use...
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Factoring
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The lesson also...
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Quadratic Function Graph
Learnerss engage in a study of quadratic functions and how the coefficient of x^2 has on the graph of it. They study the quadratic function for review with the help of index cards. The lesson includes a resource link to align the it with...
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Reflections of a Linear Function
Students reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.
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Ellipse
Young scholars 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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Exploring Trigonometric Functions
Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
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The Unit Circle
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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Exploring the Witch of Agnesi
learners construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Model Construction
In this lesson, students explore shapes and forms in architecture. Students understand that the function of architecture influences its form as well as construst a simple architectural model. As an assessment, have students with a...
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Graphing Linear Functions - Review
Pupils graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon...
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Guess My Rule (Function Tables)
Seventh graders recognize and solve functions. To reinforce the solving of word problems, 7th graders play a guessing game where they try to identify the functions used. They complete worksheets and draw graphs to match the problem in...
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Algebra I - Test
Students participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Students practice graphing linear functions.
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Linear Equations Project Fram
Students engage in a lesson that focuses on the concept of linear equations. They practice solving problems with a variety of problems and graphing the solution set for each. Students write a summary paragraph about two methods of...
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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,...