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Worksheet 22 - Spring 1996

For Students 11th - Higher Ed
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.
Lesson Plan
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Polynomials and Factoring

For Teachers 7th - 9th
Students classify, add, subtract, and factor polynomials. In 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

For Teachers 6th - 9th
The lesson plan includes scaffolding with the use of a teacher assistant and peer tutoring. The lesson has good intentions and the set up for instruction is well thought out. However, there is not enough information in this lesson to...
Lesson Plan
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Balancing the Scales: Understanding Ratios

For Teachers 5th - 8th
Students 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 Students 11th - Higher Ed
In this rates of convergence worksheet, students 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

For Students 11th - Higher Ed
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

For Students 11th - Higher Ed
For this graphical interpretation of vectors worksheet, students 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 Students Higher Ed
In 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...
Lesson Plan
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Interest Calculation and Spreadsheets

For Teachers 5th - 12th
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 instructional...
Lesson Plan
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Badminton or Basketball?

For Teachers 6th - 8th
Pupils 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.
Lesson Plan
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Sort it Out

For Teachers 2nd - 4th
Students 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...
Lesson Plan
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Cubic Unit Models

For Teachers 4th
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

For Teachers Higher Ed
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

For Students 9th - 10th
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

For Students Higher Ed
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

For Students Higher Ed
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 Students Higher Ed
In 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 Students Higher Ed
In 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...
Lesson Plan
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Arithmetic and Square Roots - Week 1

For Teachers 9th - 11th
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

For Students 8th - 10th
In this word problems worksheet, students solve twenty-eight motion/rate word problems.  The formula used in solving rate problems is provided at the top of the worksheet.  Answers are provided at the bottom of the worksheet.
Lesson Plan
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Comparing and Ordering Fractions

For Teachers 4th - 5th
Students practice ordering fractions. In this fractions lesson, 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

For Teachers 3rd - 5th
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...
Lesson Plan
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Exploring Trigonometric Ratios

For Teachers 9th - 10th
Young scholars 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.
Lesson Plan
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Properties of Special Parallelograms

For Teachers 9th - 10th
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.

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