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Lesson Plan
Curated OER

Inductive and Deductive Reasoning

For Teachers 9th - 12th
High schoolers use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In...
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Worksheet
Curated OER

Roots and Radical Expressions

For Students 11th
In this Algebra II worksheet, 11th graders simplify radical expressions.  The two page worksheet contains explanation, worked example, and three practice problems.  Answers are not included. 
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Worksheet
Curated OER

Ad for Computer Engineers

For Students 9th - 11th
In this algebra worksheet, students figure out the phone number from an ad asking to hire an Engineer given a clue. There is a solution with a full explanation provided.
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Worksheet
Curated OER

Squares

For Students 10th
In this squares worksheet, 10th graders solve and complete 7 various types of problems. First, they divide a product of one with a square of the other. Then, students find the dimensions of a rectangle that will maximize the area. In...
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Worksheet
Curated OER

Multiplying Matrices

For Students 10th - 12th Standards
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...
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Lesson Plan
Curated OER

Solving Polynomial Equations by Factoring

For Teachers 9th - 10th
Students factor polynomial equations. In this algebra lesson, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
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Worksheet
Curated OER

Matrix Operations

For Students 10th - 12th Standards
Here is a worksheet to practice or review basic matrix operations of addition, subtraction, and scalar multiplication. First, define and discuss key vocabulary terms, then have individuals work five simple problems. There are detailed...
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Lesson Plan
Curated OER

Matrix

For Teachers 10th - 11th
Young scholars examine characteristics of a matrix. After identifying the determinant of a matrix, students explore the properties of matrix multiplication. They review the properties of matrix multiplication and identify determinants in...
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Lesson Plan
Curated OER

The Complex Numbers

For Teachers 9th - 10th
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
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Worksheet
Curated OER

Solving Linear Systems Using Matrices

For Students 9th - 12th Standards
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Worksheet
Curated OER

Calculate Area Using Pi

For Students 7th - 9th
Geometers find the area of four circles given their circumferences. Circumference is presented in the form of "numeral (diameter) x pi"; the answer key shows solutions as  "numeral (radius squared) x pi," so computation is limited to...
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Worksheet
Curated OER

Order of Operations

For Students 9th - Higher Ed
In this order of operations learning exercise, students simplify and evaluate 10 different types of problems by applying the order of operations in each. They simplify basic equations whether multiplication, division, addition, or...
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Worksheet
Curated OER

Fiddling with Fours

For Students 11th
In this algebra worksheet, 11th graders are solving word problem, where they are given only symbols and asked to find the answers. They get some clues to help them arrive at the answer. There is an answer key.
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Lesson Plan
Curated OER

Multiply Polynomials

For Teachers 9th - 11th
Learners solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
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Worksheet
Curated OER

Natural Logarithm Rules

For Students 9th - 11th
In this algebra worksheet, students solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.
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Lesson Plan
EngageNY

Multiplying and Dividing Expressions with Radicals

For Students 9th - 10th Standards
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide radical...
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Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
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Lesson Plan
Curated OER

Scale factors: Ratios and Proportions

For Teachers 8th - 11th
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
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Lesson Plan
Curated OER

Finding the Area of Triangles

For Teachers 12th
Twelfth graders apply the formula for finding the area of a triangle to various problems. They work real life problems for finding the area of a bathroom and the cost of tiling it. They play a game, Triangle Bingo, where they match...
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Lesson Plan
Curated OER

The Meaning of Algebraic Expressions

For Teachers 6th - 9th
Students define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
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Lesson Plan
Curated OER

What's the Area?

For Teachers 5th
Fifth graders use area to calculate the cost for new flooring. They find the area of a square or rectangle. Calculating Area problems and worksheet are attached.
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Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In 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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Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
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Worksheet
Curated OER

Introduction to Vector Spaces

For Students 10th - 12th
In this vector spaces learning exercise, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page learning exercise contains 13 problems.

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