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Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Students classify object and build ideas about variables....
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Sinusoidal modelling of Canad'a youth cohorts
Pupils explore the general form of the sine equation. In this trigonometry lesson, students explore the relationship between the changing parameters and the graph of the sine equation. Pupils use data and a statistical...
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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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Integer Solutions to Inequality
When is the last time you assigned your learners only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
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Exponential Functions
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
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Precalculus Test 4 (Sections 4.5-4.7)
In this precalculus test, students answer 5 multiple choice, 5 short answer, and six graphing questions.
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Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
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Logarithms
In this logarithm instructional activity, students read given statements about logarithms and determine if the statement is true or false. This one-page instructional activity contains approximately 35 problems.
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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Function Composition
Students solve two functions at once. For this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. For this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Woody Sine
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
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Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The lesson is...
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Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In 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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Math Honors 2: Semester 1 Review
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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The Number "e"
For this college level mathematics worksheet, students explore the number e and graph functions involving e. The two page worksheet contains thirty-two problems. Answers are included.
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Composition of Functions
Learners solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Price of Apples- Linear Data
Learners collect data and create a graph. In this algebra lesson, students describe functions graphically, algebraically and verbally. They identify functions as being independent and dependent using variables.
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Rational Expressions
In this algebra worksheet, students identify the solution to rational expressions. They solve word problems using the correct formula and equation set up. There are 10 questions with a bonus.
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Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Inverse Trigonometric Values
In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
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AP Calculus Exam
In this calculus instructional activity, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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Trash or Treasure
Students explore the importance of recycling. Students are read "Can Kids Save the Earth", they are then guided in a recycling project. Students discuss Earth Day, and make poster to promote Earth Day.