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Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
Texas Instruments
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus instructional activity. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation...
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Riemann Rectangle Errors
High schoolers calculate the area under a curve. In this calculus lesson plan, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
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Zeros of a Quadratic Function
Factor quadratic equations by teaching your students how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
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Standard Form of Quadratic Functions
High schoolers factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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Walk the Line
Learners create constant speed versus motion graphs. They will perform linear regressions on their data to describe the graphs mathematically.
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Multiplying Monomials
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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Cramer's Rule ID: 8793
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions. Students use TI-Nspire to graph the systems to verify their answers and...
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Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Texas Instruments
Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
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Definite Integral
Learners investigate the intervals represented by a function in this calculus activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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Distributive Property
Students solve problems using distribution. In this algebra instructional activity, students factor equations using the distributive property. They graph their solution on a graph.
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Horizontal and Vertical Lines
Students solve equations and graph-their solutions. In this algebra lesson plan, students, identify the type of line using the slope of the equation. They graph and observe their lines.
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Comparing Linear and Exponential Data
Students graph linear and exponential equations. In this algebra lesson, students differentiate between linear and exponential equations. They relate it to the real world.
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Extraneous Solutions
Students find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
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Properties of Logarithms
Learners investigate properties of logarithmic function as they add, subtract and multiply logarithms. They graph and analyze the graph for exponential equivalency.
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Polynomial Rollercoaster
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
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Falling Objects
High schoolers examine the velocities of two different falling objects. They produce distance vs. time and velocity vs. time graphs using a Motion Detector and a CBL 2 to collect experimental data. Learners analyze and interpret the...
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.