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Ellipses And Kepler's First Law
High schoolers explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
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Lesson #73 Absolute Maximum and Minimum
Students listen to a lecture about absolute maximum and absolute minimum. In this maximum and minimum lesson students use steps to find points and practice with an example.
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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
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Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus instructional activity. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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Riemann Rectangle Errors
Young scholars calculate the area under a curve. In this calculus lesson, 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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Multiple Representations
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...
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How Many Solutions 2
Young scholars solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.
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Trigonometry Triangles
In this trig learning exercise, 11th graders investigate the 6 trigonometry identities and their cofunctions. They use them to solve trig problems as related to right triangles. There are 5 questions with an answer key.
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Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson plan. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to...
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus instructional activity, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
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Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
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Factoring Trinomials
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...
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Mended Hearts, Broken Hearts, Healthy Hearts, Half-Hearted
Students integrate locomotor movements with nutrition information. They solve simple math functions related to the calories-per-gram contents of each nutrient and perform fitness activities to match the number of calories contained in...
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Calculus Inverse Derivative
Students solve equations using a given derivative. For this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Polar Graphs
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Why Are Hot Things Red?
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Order of Operations
Ninth graders investigate the order of operations. In this Algebra I lesson, 9th graders explore the rules of arithmetic and algebra as they review and practice simplifying increasingly complex numeric expressions using the order...
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Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Collecting Ball Bounce Data
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
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The Slope of a Line
In this slope worksheet, learners examine graph and determine the slope of a line. They determine coordinates of a point to make a true statement. Students identify the dependent variable and the independent...