Lesson Plan
Pennsylvania Department of Education

Alike and Different

For Teachers Pre-K - 2nd
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....
Lesson Plan
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Sinusoidal modelling of Canad'a youth cohorts

For Teachers 11th - 12th
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...
Lesson Plan
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Introduction To Functions

For Teachers 8th - 10th
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.
Activity
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Integer Solutions to Inequality

For Teachers 8th - 11th Standards
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...
Lesson Plan
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Exponential Functions

For Teachers 11th - 12th
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
Worksheet
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Precalculus Test 4 (Sections 4.5-4.7)

For Students 10th - 12th
In this precalculus test, students answer 5 multiple choice, 5 short answer, and six graphing questions.
Lesson Plan
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Quadratics Introduction

For Teachers 5th - 8th
Students investigate quadratic functions graphically and algebraically.
Worksheet
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Logarithms

For Students 11th - 12th
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.
Lesson Plan
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Maximize It!

For Teachers 4th - 6th
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...
Lesson Plan
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Function Composition

For Teachers 9th - 12th Standards
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.
Lesson Plan
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Inverse Trigonometric Functions (Review)

For Teachers 11th - Higher Ed
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.
Lesson Plan
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Woody Sine

For Teachers 9th - 12th
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...
Lesson Plan
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Exploring Quadratic Equations

For Teachers 11th
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...
Lesson Plan
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Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
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.
Worksheet
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Math Honors 2: Semester 1 Review

For Students 10th - 12th
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 Teachers Higher Ed
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.
Lesson Plan
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Composition of Functions

For Teachers 9th - 12th
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,...
Lesson Plan
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Price of Apples- Linear Data

For Teachers 8th - 10th
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.
Worksheet
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Rational Expressions

For Students 9th - 10th
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.
Lesson Plan
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Functional Analysis

For Teachers 9th - 10th
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.
Worksheet
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Functions of Two Variables

For Students Higher Ed
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...
Worksheet
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Inverse Trigonometric Values

For Students 11th - 12th
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.
Worksheet
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AP Calculus Exam

For Students 10th - 11th
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.
Lesson Plan
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Trash or Treasure

For Teachers K - 3rd
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.