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Worksheet 22 - Spring 1996
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Polynomials and Factoring
Learners classify, add, subtract, and factor polynomials. For this polynomials lesson, students classify polynomials by creating their own system. During a discussion, the class decides on a common system. They add and subtract...
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Using Pattern Blocks and Fractions
The lesson plan includes scaffolding with the use of a teacher assistant and peer tutoring. The instructional activity has good intentions and the set up for instruction is well thought out. However, there is not enough information in...
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Balancing the Scales: Understanding Ratios
Learners are introduced to the concept of ratios. In groups, they convert sets of numbers into a ratio. After practicing, they use the ratios and proportions to solve story problems. They also calculate map distances and discover map...
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Numerical Analysis: Rates of Convergence
For this rates of convergence worksheet, learners explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...
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Multivariable calculus: Partial Derivatives
In this partial derivative worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, learners execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
For this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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Interest Calculation and Spreadsheets
Students, while in the computer lab working on a spreadsheet program, calculate interest and accumulated value of a savings plan. They follow specific directives on how to create their spreadsheets. At the end of the lesson they print...
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Badminton or Basketball?
Students explain why for a group of n people, there are an equal number of possibilities for subgroups of size k (such that k < n) and size n - k.
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Sort it Out
Young scholars identify and sort a variety of two- and three-dimensional objects and compare and contrast their attributes. They identify shapes, locate shapes on the faces of solids, sort real objects and explain the sorting rule, and...
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Cubic Unit Models
Fourth graders find the volume of solids. In groups, 4th graders use spinners to determine the dimensions of solids. They construct the shapes, creating a model of the figure Students count the cubes in the model to determine the...
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Properties of Trigonometric Functions
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
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Rational Root Theorem
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Introduction to the S-I-R Model of Disease
In this introduction to the S-I-R Model, students explore a scenario concerning the spread of an infectious disease. They use the S-I-R model to determine the number of people infected, how many will recover, etc. Students write an...
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Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Analyzing Solutions Computed Using Euler's Method
For this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...
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The Babylonian Algorithm, Limits and Rates of Change
For this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
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Arithmetic and Square Roots - Week 1
In this basic arithmetic and square root worksheet, students solve basic arithmetic problems such as determining the cost of a meal. They solve equations containing square roots. This three-page worksheet contains eight problems.
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Solving Motion Word Problems
In this word problems instructional activity, students solve twenty-eight motion/rate word problems. The formula used in solving rate problems is provided at the top of the instructional activity. Answers are provided at the...
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Comparing and Ordering Fractions
Students practice ordering fractions. In this fractions instructional activity, students determine how to tell when a fraction is close to 1, 1/2 and other various fractions. Students use benchmarks to order fractions.
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To Infinity: A Numbers Game
Students explore number values by participating in a class game. In this number sense lesson, students utilize dice, cards, and chess pieces to move their piece closer to the end of a number line, the point of infinity. Students answer...
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Exploring Trigonometric Ratios
Learners identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
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Properties of Special Parallelograms
Students identify properties of trapezoids. In this geometry lesson, students are put into groups and use computer programs to analyze polygons. They drag and move the shapes around as they make predictions.