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Properties of Real Numbers

For Teachers 8th - 10th
Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.
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Lesson Plan
Curated OER

Identify and Apply the Properties of Real Numbers

For Teachers 10th - 11th
Young scholars apply the properties of real numbers. In this algebra worksheet, students identify elements of an operation given a table of values. They identify the missing values in the table. There are 5 questions with an answer key.
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Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra worksheet , students apply the properties of numbers to answer problems written in a certain way, The answer must make the property a true statement. There are 32 questions with an answer key.
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Worksheet
Curated OER

Properties of Real Numbers

For Students 8th - 10th
In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
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Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
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Lesson Plan
Curated OER

Properties of Real Numbers Reference Chart

For Teachers 9th - 12th
In this algebra worksheet, young scholars reference the six properties of real numbers over multiplication and addition in an easy to read format. There are 10 examples.
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Worksheet
Easy Work Sheet

Easy Worksheet: Properties

For Students 9th - 12th Standards
In this properties worksheet, 10 short answer problems are solved. Learners name the property illustrated such as the inverse property or associative property of multiplication.
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Lesson Plan
EngageNY

Matrix Multiplication Is Distributive and Associative

For Teachers 11th - 12th Standards
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson plan in the series, pupils now test the associative and distributive properties. The...
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Lesson Plan
Curated OER

Matrix

For Teachers 10th - 11th
Students 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 a...
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Lesson Plan
Curated OER

Watts Up Doc?

For Teachers 9th - 12th
Students examine the wattage of a light bulb using math. In this algebra lesson, students find the inverse square of given parameter. They work in groups collecting and analyzing data.
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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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Lesson Plan
EngageNY

Matrix Multiplication and Addition

For Teachers 11th - 12th Standards
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
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Lesson Plan
Curated OER

Perfect Squares and Factoring

For Teachers 9th - 12th
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
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Worksheet
Curated OER

Further Trigonometry

For Students 11th - Higher Ed
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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Worksheet
Curated OER

Periodic Functions

For Students 10th - 12th
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
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Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
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Lesson Plan
EngageNY

Addition and Subtraction Formulas 2

For Teachers 11th - 12th Standards
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
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Worksheet
Curated OER

PreCalculus: Final Examination

For Students 10th - 12th
For this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80 problems.
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Lesson Plan
Curated OER

Logarithms - Week 2

For Teachers 10th - 12th
In this logarithms worksheet, students use the basic properties of exponents to solve logarithm problems. This two-page worksheet contains eight problems.
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Worksheet
Curated OER

Linear Systems: Other Methods of Computing Determinants

For Students 12th - Higher Ed
In this computing determinants instructional activity, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This...
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Lesson Plan
Curated OER

Matrix Math

For Teachers 10th
Tenth graders practice adding, subtracting, and multiplying matrices. After completing and reviewing bell ringer problems they review homework from night before and discuss any questions. Students are introduced to new matrix...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Unit Plan
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EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Unit Plan
Mathematics Vision Project

Module 10: Matrices Revisited

For Students 10th - 12th Standards
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...

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