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Law of Cosines
Students model scenarios using functions and their properties. In this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
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Investigating the properties of a circle
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
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Math- A Level Differentiated Lesson
Students investigate the gradient function of a polynomial and they conduct a class discussion about its meaning. Then students use graphing software in order to examine tangents that can be seen visually to aid those who need visual...
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Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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E, Pi, and Exponential Functions
Young scholars discuss the difference between y=x^2 and y=2^x. They listen as the teacher defines "e." Students receive an information sheet on "e," as well as a history sheet on pi. They solve equations involving exponents and "e."
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Integrals with Odd Powers of Sine and Cosine
Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
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Integrals with Even Powers of Secant and Tangent
Young scholars integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first...
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Integrals by Partial Fractions (Heaviside Method)
Learners listen as the teacher describes the Heaviside Method of integrating integrals. They solve several problems using the Heaviside Method, and practice deciding when this method can and can not be used. Students work several...
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Completing Precalculus Computations
In this precalculus worksheet, 12th graders find the solutions to four problems. They verify the identity of sine and find the exact value of cosine.
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MT-A141 PreCalculus: Worksheet 6.4
In this precalculus worksheet, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of given problems. ...
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Functions
In this function worksheet, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then, students...
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Second Order ODE's
For this second order ODE's worksheet, students solve 2 different problems that are related to determining the second order ODE's in each equation given. First, they set up an equation where the applied force is the cosine plus the sine...
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Circle Proofs
In this circle proofs activity, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
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Cosine
In this cosine instructional activity, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and...
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Sine
In this sine learning exercise, 10th graders solve 10 different problems by determining the sine in each right triangle shown. They determine the sine of one point by applying the other points given in the problem.
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Trigonometry Worksheet: Double Angle Formula (1)
Students use the double angle formula to solve one problem. They are given the problem: if sin(a)=3/5, and a is an acute angle, use the double angle formula to find exact values of given sin, cosign, and tangent within the quadrant of...
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Trigonometry Worksheet: Addition Formula
In this trigonometry worksheet, learners solve 2 problems involving the addition formula. Students find the sine of a given angle using the addition formula.
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Geometry Worksheet: Area (6)
In this geometry learning exercise, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle. The one page learning exercise contains a drawing of and an...
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The Sine Function
Young scholars explore the concept of the sine function. In this sine function lesson, students use a plexiglass sine wave generator to visualize the sine function. Young scholars use a computer program/calculator to adjust aspects of...
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Unit Circle Triangle
Learners find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
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Some More Trigonometry
Students define the law of cosine and its correct usage. In this trigonometry lesson, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
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I Have Who Has..Cards
In this algebra worksheet, students solve word problems by rewriting the words into equations and answering the questions. There is an answer key.
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
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