Pre-Calculus Teacher Resources

Find Pre-Calculus lesson plans and worksheets
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Pre-Calculus Review Sheet

For Students 10th - 12th Standards
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 
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Pre-Calculus Sudoku Puzzle

For Students 11th
In this pre-calculus worksheet, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This worksheet would be a great warm up or fun test review.
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Chapter 3, Worksheet 3Z: Pre-Calculus

For Students 9th - Higher Ed
In this pre-calculus learning exercise, students graph 18 equations on a calculator. Then they create a sketch of each the graph as it appears on the calculator.
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Pre-Calculus Graphing

For Students 11th - 12th
In this graphing worksheet, students solve and complete 13 various types of problems. First, they find the domain and graph writing the answer in inequality notation. Then, students describe the transformation shown and graph the figure....
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End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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Mid-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
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Mid-Module Assessment Task: Pre-Calculus Module 5

For Teachers 11th - 12th Standards
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
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Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
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End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
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Pre-calculus Unit 3 Test 2

For Students 10th - 12th
Learners will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
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Pre-Calculus Test Chapter 5: Identities

For Students 10th - 12th
In this identities learning exercise, students match equivalent expressions containing sine, cosine, and tangent.  They solve equations, find intervals, and determine all solutions to an interval.  Students prove given identities.  This...
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Dr. Nestler's Math 2 Pre-calculus

For Students 7th - 11th
Learners are given a description of a scenario of Professor Fink searching for a group of children. When he finds them, he states that he can express their location as a function of his hand. Students analyze the scenario and determine...
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Investigating Functions

For Teachers 10th - 12th Standards
Late in algebra 2 or early in pre-calculus, learners are developing a kind of functional intuition. This worksheet goes a long way toward training this skill by helping to expose patterns of transformations through both general and...
2 In 2 Collections
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Trig Cheat Sheet

For Teachers 10th - 12th Standards
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
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Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
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Sixteen Angle Pre-calculus Trig Problems

For Students 11th - Higher Ed
In this angle worksheet, students solve ten multiple choice and six free response questions.  These precalculus questions cover angles, radians, and right triangles.
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Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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Angles in Standard Positions

For Teachers 9th - 11th
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson plan, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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Just Move It

For Teachers 11th - 12th
Students translate and predict the location of functions. In this pre-calculus lesson, students investigate the formula for transformation and predict the shift of the graph. This assignment contains a fill in the blank worksheet.
7:37
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Squeeze Theorem

For Students 11th - Higher Ed
Sal uses an intuitive example to explain how the squeeze theorem got its name and applies it in the next video to prove the limit as x approaches 0 of (sin x)/x = 1.
11:32
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Introduction to Limits (HD)

For Students 11th - Higher Ed
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
3:56
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Introduction to Limits

For Students 11th - Higher Ed
Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos.  He starts by introducing the...
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Extrema on an Interval

For Teachers 9th - Higher Ed
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus instructional activity, students solve optimization problems and find rates of change.
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Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus instructional activity is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four...
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Basic Theorems and Proofs

For Students 11th
In this pre-calculus worksheet, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There are 15...
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Precalculus, Droodle Review Sheet

For Students 10th - 12th
In this pre-calculus worksheet, students solve 20 problems in order to determine the "Droodle." Each correct answer the students achieve will be associated with a letter, that letter will be used to uncover the identity of a strange...
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Tangent Properties

For Students 10th - 12th
In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
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Velocity

For Students 9th - 11th
In this pre-calculus worksheet, students calculate the velocity of a linear graph by observing the slope of a line. There are 10 velocity questions.
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Getting started with Pre-Calculus

For Teachers 10th - 12th
Young scholars investigate exponential decay using a calculator. In this math lesson, the student will use a handheld calculator, to graph a scatter plot using data.  The student will then interpret this data and make predictions.   ...
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Shedding Light on the Subject

For Teachers 11th - 12th
Students explore the decay of light passing through water.  In this Algebra II/Pre-calculus lesson, students collect and analyze data.  Students use a graphing tool to develop a mathematical model to determine the function that fits the...
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Optimization Exploration: The Inscribed Rectangle

For Teachers 11th - 12th
Students explore optimization problems.  In this Pre-Calculus/Calculus/Algebra II instructional activity, students use Geometer’s sketchpad to investigate the dimensions of the largest rectangle that can be inscribed under a parabola. ...
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Humidity Makes Air Feel Even Hotter

For Teachers 9th - 12th
Students explore scatter functions. In this pre-calculus instructional activity, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The instructional activity employs...
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Optimization: The Switchboard Problem

For Teachers 11th - 12th
Students explore an optimization problem.  In this Pre-Calculus lesson, students investigate a problem in which the distance between three points is minimized in order to determine the location of a switchboard.  Students use Geometer’s...
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General Quadratics, Cubics,and Quartics

For Teachers 11th - 12th
Students explore cubic and quartic functions.  In this Pre-calculus/Calculus lesson, students examine the properties of third and fourth degree functions.  Students examine the intercepts and inflection points and examine the conditions...
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NUMB3RS Activity: Narrowing the Search

For Teachers 9th - 12th Standards
Students explore the length of an n-dimensional vector.  In this Algebra II/Pre-calculus lesson, students investigate an expansion of the Pythagorean Theorem to n-dimensional space. 
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Buying Your First New Car!

For Teachers 11th - 12th Standards
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson. They investigate the cost of a new car by calculating depreciation and payments.
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Radian Measure

For Teachers 9th - 12th Standards
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson. They identify the proportion of the circle based on its radius while they convert between degrees and radians measurements.
1 In 1 Collection
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Sum of Infinite Geometric Series

For Teachers 9th - 12th Standards
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
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Polynomial Functions

For Students 11th - Higher Ed
In this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page worksheet contains sixty problems.  Answers are included. 
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Writing Formulas for Piecewise Functions

For Teachers 11th - 12th
Students explore piecewise functions.  For this Algebra II/Pre-calculus lesson, students write formulas for piecewise functions and check their work on the calculator.  The lesson assumes that students have seen piecewise functions prior...
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Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus instructional activity, 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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Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Young scholars investigate trigonometry.  For this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
1 In 1 Collection
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Rational Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
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Optimization: Constructing a Box

For Teachers 10th - 12th
Students look for patterns and determine the volume of a rectangular prism. In this optimization instructional activity, students solve optimization problems, and build a box using the provided worksheet. This instructional activity is...
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Linear and Quadratic Approximations

For Teachers 11th - 12th
Students explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Students examine the three graphs as they compare and contrast...
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Chill Out

For Teachers 11th - 12th
Young scholars investigate Newton’s Law of Cooling.  In this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid cools.  The...
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A comparison of Function, Polar, Parametric, and Implicit Plots

For Teachers 11th - 12th
Students explore different methods of graphing a function.   In this Pre-calculus/Calculus lesson, students compare the function mode, polar mode, parametric mode, and implicit plots as they use A TI-89 to graph the equation of a circle. 
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Limit Estimation

For Students 9th - 12th
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Vectors

For Students 12th - Higher Ed
In this vectors worksheet, students solve and complete 6 different types of pre-calculus problems. First, they sketch each vector as shown. Then, students sketch each vector on the axes described. In addition, they determine the...
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NUMB3RS Activity: Exponential Modeling

For Teachers 10th - 12th
Learners investigate exponential functions.  In this Algebra II/Pre-calculus lesson plan students find an exponential model from a set of data.  Learners investigate the affects of changing parameters have on the graph of an exponential...
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Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
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Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics instructional activity, learners solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This instructional activity contains, but is not limited to, radicals, inverse...
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PreCalculus Test Sections 5.1 - 5.2

For Students 10th - 12th
In this pre-calculus worksheet, students simplify given equations.  They prove given identities.  This two-page worksheet contains 12 multi-step problems. 
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Three Points and a Parabola

For Teachers 11th - 12th
Students explore an optimization problem.  In this Pre-Calculus lesson plan, students investigate a problem in which the distance between three points is minimized in order to determine the location of a switchboard.  Students use...
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Buy on get x free...and go out of business

For Teachers 11th - 12th
Students investigate the fundamental notion of a limit.  For this Algebra II/Pre-calculus lesson, students analyze a real-world business scenario to explore limits by looking at trends in data. 
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Vectors

For Students 11th - 12th
In this Pre-Calculus worksheet, students determine if a set of vectors is linearly dependent or linearly dependent and if it is linearly dependent, express one of the vectors as a linear combination of the others.  The one page worksheet...
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Function and Graphs

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither.  The four page worksheet contains...
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Exponential Equations and Functions

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...
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Graph of the Tangent, cotangent, Secant, and Cosecant Functions

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions.  Students find the intercepts and any asymptotes.   The seven page worksheet contains sixty-six...
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Functional Notation

For Students 11th - 12th
In this Pre-Calculus worksheet, students express functions as a composition of two functions and compute and graph composite functions. The two page worksheet contains four problems. Answers are not provided. 
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Geometric and Arithmetic Sequences

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, learners solve advanced problems based on geometric and arithmetic sequences, including the use of sigma notation. The five page worksheet contains forty-five problems.  Answers are not included.
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Exponents and Logarithms Test

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve advanced logarithmic and exponential equations. The two page worksheet contains ten multipart problems. Answers are not provided.
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Exponential and Logarithmic Equations

For Students 11th - 12th
For this Algebra II/Pre-calculus worksheet, learners solve logarithmic and exponential equations in problem solving situations. The three page worksheet contains eleven problems. Answers are not provided.
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Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Infinite Geometric Series - ID: 9894

For Teachers 11th - 12th
Young scholars investigate geometric series.  In this Algebra II/Pre-Calculus lesson, students use a spreadsheet application to create partial sums of geometric series and observe convergence and divergence.  Young scholars investigate...
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Summations 1

For Students 11th - 12th
In this Pre-calculus worksheet, students determine the sum of the indicated number of terms of the arithmetic or geometric series.  The one page worksheet contains fifteen problems.  Answers are provided. 
1 In 1 Collection
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Unit Circle

For Teachers 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle.  The four page worksheet contains a combination of twenty multiple choice and free response problems.  Answers are provided. 
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Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
8:58
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Limit Examples (Part 1)

For Students 11th - Higher Ed
One example, find the limit as x approaches -1 of (2x+2)/(x+1), is solved by simplifying the expression and then is explored intuitively by looking at the left and right-hand limit. The second example of finding the limit as x approaches...
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Step Functions and Taxi Fares

For Teachers 10th - 12th
Young scholars investigate step functions.  For this Algebra II/Pre-calculus lesson, students examine various taxi fare schemes and model the fares with step functions by making use of the calculator’s greatest integer function’s step...
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Mathematices: Pre-Calculus

For Teachers 11th - 12th
Students relate polynomials to real life situations. In this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
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What's the Score?

For Teachers 11th - 12th
Students investigate matrix multiplication.  In the Pre-calculus lesson, students solve real-world problems using matrix multiplication. TI-nspire handheld and appropriate application is required.
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Law of Sines and Law of Cosines

For Students 11th - 12th
In this Pre-calculus/Trigonometry learning exercise, students use the laws of sines and cosines to solve triangles. The four page learning exercise contains thirteen problems. Answers are not included.
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Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
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Lesson #45 Graphs of Logarithmic and Exponential Functions

For Teachers 11th - 12th
Students investigate exponential and logarithmic functions.  In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x.  Students graph the functions and show they are inverses of each other. 
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Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus worksheet, learners calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Math 155 Worksheet 8

For Students Higher Ed
In this college level Pre-Calculus worksheet, students determine the critical points of a function and determine the interval where the function is increasing and decreasing.  The two page worksheet contains four problems.  Answers are...
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Homer/Scarecrow Worksheet

For Students 11th - Higher Ed
For this Pre-calculus worksheet, learners consider a scenes from The Wizard of Oz and The Simpsons refering to the Pythagorean Theorem. Students analyze the statement for errors and write about another mathematical formula that they...
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Product Rule

For Teachers 9th - 12th
Students investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the lesson to help find the solutions to...
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Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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Saxon Math: Algebra 2 (Section 10)

For Teachers 9th - 12th Standards
In this 10th of 12 Saxon math sections, the curriculum definitely has an end-of-course feel to it. Conic sections, polar graphing, rational equations, and exponential inequalities all work to stretch the young algebrist and prepare them...
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Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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Characteristics of Functions

For Teachers 11th - 12th
Investigate the characteristics of various functions. In this pre-calculus lesson, learners analyze absolute value, piecewise, and odd and even functions. They identify domain and range and absolute and relative extrema. TI-nspire...
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Transformation of Graphs

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems.  Answers...
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The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, learners prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
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Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students estimate the amplitude, period, and horizontal and vertical translations of a graph and find a rule that models the data. The three page worksheet contains fourteen problems. Answers...
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Definition Of The Derivative

For Teachers 9th - 12th
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
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Graph Of The Derivative

For Teachers 11th - 12th
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Rules For Differentiation

For Teachers 9th - 12th
Learners investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Worksheet 5 Math 126-Hyperbolas

For Students 12th - Higher Ed
In this Pre-calculus instructional activity, learners solve problems involving hyperbolas. The two page instructional activity contains explanation and four multi-part questions. Answers are not included.    
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Mathematics Definitions -- Calculus

For Students 10th - 11th
In this calculus worksheet, students define words related to math to emphasize the importance of knowing the vocabulary in order to understand what is being asked of the problem. This worksheet contains 17 questions dealing with...
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Looking at Polynomials as Dynamic Mathematical Objects

For Teachers 11th - 12th
Students explore graphs of polynomials.  For this Pre-calculus/Calculus lesson, students investigate the problem of constructing the expression for a polynomial curve based on the dynamic properties of the curve.  TI-Interactive is...
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Cobweb Graphs: Investigating Chaos ID: 9974

For Teachers 11th - 12th
Students investigate chaos theory.  In this Pre-calculus/Calculus lesson, students explore population growth leading to observations about stable and unstable populations in this introduction to chaos theory.   TI-nspire handheld and...
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Introduction to Series

For Students 11th
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation.  The two page worksheet contains 32 problems.  Answers are provided.
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Periodic Transformations

For Teachers 11th - 12th
Students review transformations of the sine and cosine functions.  In this Algebra II/Pre-calculus lesson, students explore the effect of changing parameters of the graph of the parent sine and cosine function.    Students work with...
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Just Move It

For Teachers 11th - 12th
Students explore second and third degree equations.  In this pre-calculus lesson, students use technology to explore translations, compressions, and stretches of the parent functions of quadratic and cubic equations.
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Cell Phone Towers

For Teachers 11th - 12th
Students investigate the Apollonius circle. For this Algebra II/Pre-calculus lesson, students explore the locus of a point that is located twice as far form a given Point A as it is from given Point B. Students visualize and draw a...
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Can you find them all?

For Students 11th - 12th
In this Algebra II/Pre-calculus learning exercise, students examine a 10 X 10 array and determine the pseudotrace of the array.  The six page learning exercise contains three problems.  Detailed solutions are provided. 
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Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
For this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six problems. ...
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Geometric Sequences or Progressions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration.  The one page worksheet contains thirty-six problems.  Answers are not provided. 
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Logarithms #2

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students simplify logarithmic expressions and use a calculator to determine the value of a logarithmic expression.  The three page worksheet contains a combination of twenty-five free response...
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Review of Precalculus

For Students 11th - 12th
In this Pre-calculus learning exercise, student’s knowledge of a wide variety of topics is assessed in this on-line review.  The one page interactive learning exercise contains fifty problems.  Answers are not provided. 
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Digital Codes

For Students 11th - 12th
In this Algebra II/Pre-Calculus instructional activity, students convert numbers into binary, octal, and hexadecimal code and examine different uses for writing numbers in other bases.   The four page instructional activity contains...
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Binary Math Circuits

For Students 11th - Higher Ed
In this Algebra II/Pre-calculus worksheet, students analyze and build digital circuits.  The six page worksheet contains eleven problems.  Answers not included. 
1 In 1 Collection
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Radian Measure

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students explore radian measure of an angle and convert between degree and radian measure. The seven page worksheet contains explanation, examples, and nineteen multi-part problems. Answers are...
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Applications and Writing Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet, students use polynomial and rational functions to solve application word problems.  The three page worksheet contains forty-four problems.  Answers are not included. 
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Mixed Math Practice

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students find the area and perimeter of sectors of a circle.  The four page worksheet contains sixteen problems.  Answer key is included.
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Area of a Triangle

For Teachers 10th - 11th
Learners solve the area of triangles. In this precalculus activity, students are given two sides of a triangle and asked to calculate the area. They apply the law of sine and the side-angle-side area formula to solve.
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PreCalculus Worksheet

For Students 11th - 12th
For this Pre-Calculus worksheet, students solve problems that involve determining averages and missing grades and arithmetic series. The three page worksheet contains ten problems. Answers are not provided. 
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Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.
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Fractal Worksheets

For Students 11th - 12th
This page contains links to 4 different worksheets containing fractal problems relating to calculus.There are also 2 links to triangular and square dot paper. All items are available for download.
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Exploring Rational Functions

For Teachers 11th
Eleventh graders differentiate between rational and their properties. In this algebra instructional activity, 11th graders identify the asymptote as vertical or horizontal and the graph as being continuous or not. They examine the...
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Balloon Powered Car Velocity/Acceleration Activity

For Teachers 11th - 12th
Pupils explore acceleration and velocity.  In this Pre-Calculus/Calculus lesson, students collect and analyze data from balloon powered cars to investigate the graphical and algebraic representation of acceleration and velocity.  Pupils...
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Graphing an Extra Dimension

For Teachers 11th - 12th
Students investigate three-dimensional graphing.  In this Algebra II/Pre-calculus lesson, students use Voyage 200 PLT to graph in three dimensions focusing on the characteristics of surface types called paraboloids.
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Maximum Volume of a cuboid and open-topped box

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box.  Additionally, students determine the acceptable size for boxes to meet parcel service...
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Logarithms #3

For Students 11th - 12th
In this Pre-Calculus activity, learners solve logarithmic equations.  The four page activity contains twenty problems.  Answers are not provided. 
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Logarithms #4

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students solve problems that involve the applications of logs and exponentials.  The eight page worksheet contains seventeen problems.  Answers are not provided.   
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Logarithms

For Teachers 11th - 12th
In this pre-calculus worksheet, pupils write equations in exponential form and logarithmic form.  Students solve and graph logarithmic equations.  The two page worksheet contains eighty-six problems.  Answers are provided. 
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Trigonometric Expressions and Identities

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions.  Students use algebra to prove various trigonometric identities.   The three page worksheet...
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Graphs of the Sine and Cosine Function

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided. 
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Double-Angle and Half-Angle Formulas

For Teachers 12th - Higher Ed
In this college level Pre-Calculus worksheet, students use the double-angle and half-angle formulas to evaluate trigonometric expressions and solve trigonometric equations. The six page worksheet contains fifty-six problems. Answers are...
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Exponential and Logarithmic Functions

For Students Higher Ed
In this college level Pre-calculus worksheet, students graph and solve exponential and logarithmic equations.  The two page worksheet contains three problems.  Answers are not provided. 
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Binary Math

For Students 11th - 12th
For this Algebra II/Pre-calculus worksheet, students represent decimal numbers in binary form and compute with binary numbers.  The four page worksheet contains eleven questions.   Answers are included.
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The Hiring Problem

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students explore a problem in which they determine how to hire new faculty base on the needs of a school. Students must explain why their decision is fair to all departments and students. The...
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Modelling Periodic Phenomena

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
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Solving Trigonometry Problems in Two and Three Dimensions

For Students 11th - 12th
In this Pre-calculus/Trigonometry activity, students solve trigonometry problems in two and three dimensions. The eleven page activity contains explanation, examples, and twenty problems. Answers are not included.
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Using Series to Analyze Financial Situations: future Value

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students investigate a method of finding the accumulated value of an annuity by considering it a series. The eleven page worksheet contains explanation, examples, and twenty-three problems....
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Triangle and Circle Trigonometry

For Students 11th - 12th
In this Pre-calculus/Trigonometry activity, students apply advanced triangle and circle trigonometry to solve application problems. The three page activity contains sixteen problems. Answers are not included.
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Lesson #2 Absolute Value and Symmetry

For Teachers 11th - 12th
Pupils investigate absolute value functions.  In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems.  Pupils explore...
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The 2x2 Systems Assignment

For Teachers 8th - 9th
Students solve systems of equations. In this algebra and pre-calculus lesson, students use a graphing calculator to solve linear systems of equations.
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Absolute Value Investigation

For Teachers 11th - 12th
Students investigate the absolute value function.  In this Pre-Calculus lesson, students use a TI-89 calculator to explore the graphs of various absolute value equations, including logarithms and Euler’s number. 
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Precalculus: Function Models for Real-Life Situations

For Teachers 10th - 12th
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
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Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A lesson introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson checks to see if the Law of Sines also...
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Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson plan introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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Mathematical Modeling

For Students 11th - 12th
In this Pre-Calculus worksheet, students investigate the process of formulating, solving, and interpreting mathematical models.  The ten page worksheet contains explanation and four solved examples to serve as a guide for the modeling...
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Monthly Payment

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet students compare the monthly payments and total interest for two loans.  The one page worksheet contains one problem.  Solution is provided. 
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Cobweb Plots: Investigating Chaos ID> 9974

For Teachers 11th - 12th
Students investigate population growth.  In this Algebra II/Pre-calculus lesson students examine population growth leading to observations about stable and unstable populations.  The lesson is a introduction to chaos theory. 
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Financial Futures

For Teachers 11th - 12th
Students explore compound interest.  In this pre-calculus lesson, students investigate the formula for compound interest as they compare several different savings plans.  Additionally, students explore continuously compounding interest  
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How Many? ID: 10256

For Teachers 11th - 12th
Young scholars explore linear inequalities.  For this Pre-calculus lesson, students graph inequalities and investigate maximizing or minimizing functions in an application problem.
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Precalculus Test

For Students Higher Ed
In this college level Pre-Calculus worksheet, students assess their knowledge and understanding of inverse trigonometric functions.  The two page worksheet contains sixteen multiple choice and short answers questions.  Answers are not...
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Max/Min Problems for Review

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students determine the points of inflections for various functions and use the answers to complete a riddle.  The one page worksheet contains seven problems.  Answers are included. 
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The Probability of Compression

For Teachers 11th - 12th
Students investigate the compression of data for storage purposes.  In this Algebra II/Pre-Calculus lesson, students explore relative frequency a means of taking the probability of certain characters to appear in a given situation and...
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Periodic Functions

For Students 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving periodic functions.  The three page worksheet contains twenty-three problems.  Answers are not provided. 
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Water Quality Data Analysis

For Teachers 11th - 12th
Students develop a process for analyzing collected bayou data. They find the mathematical relationships among various biological factors. Students, work collaboratively using technology in their data analysis.
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Proof: d/dx(x^n)

For Students 11th - Higher Ed
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.
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TI-Nspire™ CAS

For Students 8th - Higher Ed Standards
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
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TI-Nspire™

For Students 6th - Higher Ed Standards
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...
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Exploration Activities with Electrostatic Interactions

For Teachers 11th - 12th Standards
Step out of the 21st century and discover protons and electrons through observation. Using common materials, participants continually adjust their explanation of charges. The final assessment requires pupils to design their own...
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Measuring Up

For Teachers 6th - 8th
Proportional reasoning, ratio, and indirect measurement come to life in a series of seven lessons. Learners will convert measurements into customary and metric units. They also use real-world examples to solve problems involving scale as...
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Attack of the Aphids!

For Teachers 10th - Higher Ed Standards
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
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InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Easy Worksheet: Composition Functions

For Students 9th - 12th
What should a function activity look like? This demo activity show the type of product that can be made using easyactivity.com. It is composed of 4 problems, composition function of f(g(x)) given the f(x) and g(x) functions. Learners...
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Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Do You Hear What I Hear?

For Teachers 8th - 12th
Middle and high schoolers explore the dynamics of a sound wave and distinguish between parameters and statistics. In this statistics lesson, pupils use a computer generated sound to discover the relationship between a vibrating string,...
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Junior Architects

For Teachers 3rd - 5th
What could be more fun than designing a clubhouse? Uppe graders explore linear measurement, scale drawings, and perimeter and area as they deign their clubhouses. They identify, compare and analyze the attributes of two- and...
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Variables Lesson

For Teachers 6th - 8th Standards
Explore variable expressions with middle schoolers. They will examine the relationship between variables and quantities in algebraic expressions. Then they solve word problems using variables.
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Basic Math: PEMDAS 5

For Students 4th - 7th
For this order of operations worksheet, students complete problems where there are all 6 basic order of operations and up to 3 digit numbers. Students complete 16 problems.
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Adding and Subtracting Fractions 2

For Students 5th - 6th
In this addition and subtraction of fractions worksheet, students complete a set of 12 simple problems. Page has multiple links to additional resources.
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Arithmetic Identity Property of Addition 2

For Students 1st - 2nd Standards
In this identity property instructional activity, students solve 16 problems in which zero is added to a number. There are no rules or examples provided.
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Arithmetic Identity Property of Addition 3

For Students 1st - 3rd
In this identity property worksheet, students identify the one digit number missing in the identity property in each problem. Students complete 16 problems.
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Adding 1

For Students 1st - 2nd
In this addition activity, students add one digit numbers together to get the sum. Students complete 16 problems total on this addition activity.
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Basic Math Order of Operations 5

For Students 4th - 8th
In this order of operations learning exercise, students complete problems with all 4 basic order of operations and parenthesis. Students complete 16 problems.
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Basic Math Order of Operations 3

For Students 4th - 8th
In this order of operations worksheet, students complete order of operations problems including all 4 operations and one and two digit numbers. Students complete 16 problems.
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Basic Math Subtraction of Fractions

For Students 4th - 6th
In this subtraction of fractions worksheet, students subtract fractions containing one and two digit numbers and unlike denominators. Students complete 16 problems.
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Is there Treasure in Trash?

For Teachers 7th - 10th
More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...
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How Does Your Population Grown?

For Teachers 8th - 11th
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
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Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Graphs and Data

For Teachers 7th - 10th
Students investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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On Graphing Certain Rational Functions

For Teachers 10th - 12th
Mathematicians explore number values by completing a fraction activity in class. In this data graphing lesson, learners identify the term rational function and practice converting them into graphs. Then they check their work with the...
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Trigonometric Music Video Parody

For Teachers 10th - 12th Standards
Dust off those dance skills and warm up those vocal cords—math meets song in this student-centered and engaging project. Budding videographers are challenged to integrate trigonometric concepts and features into a Weird-Al-style parody...
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Basic Math Multiplication of Decimals

For Students 2nd - 3rd
In this decimal multiplication learning exercise, students complete a set of 10 problems, multiplying decimals to the tenths place. Page has links to multiply resources.
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Basic Math Multiplication of Decimals 2

For Students 2nd - 3rd
In this multiplying decimals worksheet, students complete a set of 16 simple problems using decimals to the tenths place. Page has multiple links to additional resources.
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Adding 3

For Students 1st - 2nd
In this adding 1 worksheet, learners complete a set of 10 simple problems. Page has multiple links to additional resources.
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Heights of Students in Our Class

For Teachers 7th - 10th
Students construct box-and-whisker plots.  In this heights of students lesson, students collect data on the heights of others in the class.  They construct a box-and-whisker plot, line plots, and line graphs from the data.
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Hunter Fred's Quest for Dinner

For Teachers 9th - 12th Standards
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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Easy Worksheet: Domain and Range

For Students 9th - 12th
In this domain and range worksheet, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.
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Finding the Inverse from a List or Function

For Students 8th - 12th
In this algebra worksheet, learners reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
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Easy Worksheet: Maximizing Volume

For Students 9th - 12th
In this maximizing volume worksheet, high schoolers solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. High schoolers determine the time at which the object in motion...
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Finding Atomic Weight with Matrices

For Teachers 10th - 12th
There is something magical about atomic weight. Let learners in your class use a graphing calculator to solve systems of equations related to atomic weight. They use matrix equations and inverse operations to create matrices that...
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Arithmetic Addition of Fractions 1

For Students 3rd - 4th
In this fraction addition worksheet, students complete a set of 16 simple problems. Page has multiple links to additional resources.
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Basic Math Addition of Decimals

For Students 2nd - 3rd
In this addition of decimals worksheet, students complete a set of 16 simple problems. Page has multiple links to additional resources.
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Arithmetic Addition of Fractions 2

For Students 3rd - 4th
In this addition of fractions worksheet, students complete a set of 16 simple problems. Page has multiple links to additional resources.
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Miras, Mirrors, and Kaleidoscopes!

For Teachers 9th - 12th
Students use hands-on activities to explore transformations. They view a video segment that demonstrate how M. C. Escher employed geometry and transformations to create so many of his famous drawings.
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Organizing data about Counties in Your State

For Teachers 4th - 6th
Students explore the concepts of census, mean, median, and mode using 2000 Census Bureau data. For this data analysis lesson, students write numbers in standard and expanded form transfer data to a spreadsheet and create a graph.
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Patterns and Products

For Teachers 3rd - 5th
Students focus on the multiplications facts they have not yet memorized.  In this third through fifth grade mathematics lesson, students explore the patterns in multiplication in the multiplication tables.  Students play a...
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Sticks and Stones: Probability

For Teachers 3rd - 8th
Students collect data and determine the mean.  In this probability lesson plan, students play a game and collect information on the various moves.  From the collected information, they determine the probability of winning the game. ...
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Inclined Plane

For Teachers 8th - 12th
Students apply techniques and formulas to determine measurements. In this calculation lesson students divide into groups and complete a experiment using a ball and incline.
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Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms instructional activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and...
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Symmetries II

For Teachers 9th - 12th
High schoolers reflect images and determine their symmetry.  In this reflecting images and determining their symmetry lesson, students determine if various pictures/objects have mirror or bilateral symmetry.  High schoolers reflect...
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Basic Math PEMDAS 2 Worksheet

For Students 4th - 6th
In this order of operations worksheet, students solve 16 problems in which PEMDAS rules are applied. All four operations are needed to solve. No rules or examples are given.
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Basic Math Subtraction of Fractions 2 Worksheet

For Students 3rd - 5th
In this fraction worksheet, learners answer 16 questions where they subtract horizontally written fractions with uncommon denominators. 
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Decode Word Is..

For Teachers 8th - 10th
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Adding 3

For Students K - 1st
In this adding 3 learning exercise, students complete a set of 10 simple 1-digit problems. Page has multiple links to additional resources.
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Translations, Reflections, and Rotations

For Teachers 10th
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.