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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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Spreadsheet Function Machine
Learners create a spreadsheet to analyze functions. In this algebra lesson, students use spreadsheets to find the intersection of systems of equations. They identify the dependent and independent function as it relates to a line.
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Properties of Trigonometric Functions
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
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Introduction To Functions
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
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Finding the Vertex of a Quadratic Function
Students solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Graphs of Logarithmic and Exponential Functions
Students watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Students...
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Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the height of high...
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Prairie Math
Students work together to build models of prairie plants. Using the model, they estimate the height and then measure them using metric and standard units. They write a fraction to represent their part of the whole set and compare and...
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Wind-Up Car
Learners produce an equation from a graph, based on an engineering-context story provided. In this production of equations activity, students write an equation given the graph and description. Learners also describe what the y-intercept...
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Graphing and Interpreting Linear Equations in Two Variables
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Linear Equations and Functions - Area and Perimeter
Students use information they know to decorate a room at a reasonable cost by comparing the cost of companies for a decorating job. In this cost lesson plan, students take into consideration the area and perimeter of the room.
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Marble Math
In this equal equations worksheet, students look at the addition and subtraction problems on both sides of the equal sign and decide if they are equal or not. Students complete 8 problems.
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Students investigate exponential and logarithmic functions. In this Pre-calculus/Calculus instructional activity, students investigate the relationship between y = ln(x) and y = e^x. Students graph the functions and show they are...
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Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. For this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
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Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
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Make a Pass at Me
Students identify different types of functions and units of measurements. In this statistics lesson, students will collect data, graph their data and make predictions about their data. They plot a linear regression graph.
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Cockroach Slope
Students identify the slope of linear functions. In this slope lesson, students collect data and graph it. They write equations with no more than two variables and use technology to explain their data.
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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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Count the Differences
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data. They continue finding the differences in consecutive y-values using lists on their calculator. Learners conclude as they...
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Graphing Real World Situations
High schoolers solve linear equations using graphs. In this algebra lesson, students depict real life situation using lines and functions. They identify the slope, data and predict graphing behavior.
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Exponential Growth
Students study exponential functions. In this exponential growth lesson, students conduct a simulation in which a population grows at random but predictable rate. Students compare and contrast linear and exponential functions. Students...
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Making Connections
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
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