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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson plan, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson plan, students investigate Pascal’s...
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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...
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Numerical Analysis: Polynomials
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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Polynomials Degree and Finite Differences
For 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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Pigs, Goats and Sheep
Student are able to devise and use problem solving strategies to explore problems systematically and mathematically. They also form and solve various types of equations. This instructional activity requires some prior knowledge of...
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Diophantus II
Students use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.
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Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
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Complex Number
For this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
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STRETCHING SPRING
Students calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They create an equation of a line of best fit from a set of ordered pairs or...
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Get a Half Life!
Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.
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Leap Into Exponential Functions
Pupils 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 plan, 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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Get a Half-life!
Pupils 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. Pupils...
Mathed Up!
Transformation of Graphs
In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.
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Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
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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
For this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola. The three page worksheet provides explanation of topic, worked examples, and four practice problems. ...
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Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Completing the Square Lesson Plan
Students investigate the origin of the quadratic function. In this algebra lesson plan, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
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Reading Graphs
Middle schoolers practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Chapter 11 - Objective 6.1 Parabola
In this parabolic exercise, students find the vertex and axis of symmetry of parabolas, hyperbolas, and ellipses. They sketch the graph. This one-page worksheet contains ten problems.
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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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.
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The Lady's Age
Students use a game to establish the context of solving problems in a systematic and mathematical fashion. They also solve various types of equations to find reasonable solutions.
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