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Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
IMSA
Geometric Transformations with Matrices
For this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...
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Chapter 3 - Worksheet 3E - Functions
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Worksheet 4.12, Induction
In this math worksheet, students prove given propositions for all integer values of the variable. Students use induction to prove statements true.
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra worksheet, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer...
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Precalculus Worksheet
In this Precalculus worksheet, learners solve four problems in detail by working with the functions and figuring out the angles. The worksheet could be shrunk to fit on one page.
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Length of an Arc
Pupils compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
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Functions / Domain
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Types of Functions
Pupils graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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NUMB3RS Activity: Financial Futures
High schoolers discuss the calculated risk example in Numb3rs about a businesswoman from a company that made its money trading in futures. They use a formula given by the teacher to compute the estimated value of an investment after...
Curated OER
Find Minimum and Maximum
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
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Linear Approximation
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
Texas Instruments
Serious Series
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
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Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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The Closer I Get To You
Pupils explore the law of reflection. Through experimentation and problem solving, they collect and analyze data pertaining to reflection. The data is plotted on a graph and formulas for calculating the x and y values are evaluated.
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Let's Play Some Ball!
Pupils review horizontal and vertical shifts of a parabola and how they effect a specific quadratic formula. They play a basketball review game in which they try to find the right quadratic equation for a given problem in order to earn...
Curated OER
Math: Gears and Wheels
Twelfth graders solve problems involving linear and angular speed. Using information about a compact disc, they solve the problem using multiple rates and conversion factors. Students also solve additional problems involving bicycle...
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Precalculus: Function Models for Real-Life Situations
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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Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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Forces in a Climb
High schoolers use a NASA website to use a given formula to find acceleration and distance after a specific time and how it relates to engine propulsion.
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Computer Graphing Calculator Explorations
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
Curated OER
To Be Linear or Not to be Linear, That is the Question
Students use their knowledge and understanding of equations of lines to explore independent and dependent variables. They determine how to isolate a variable and how to predict data points not represented in data.
Curated OER
One Matrix and Two Vector Problems
In this matrix and vector worksheet, students find elementary matrices in one problems and show whether vectors and linearly independent or dependent in two problems.