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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
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Worksheet
1
1
Kuta Software

Quadratic Equations with Square Roots

For Students 9th - 12th Standards
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions they...
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Worksheet
Curated OER

The Rational Root Theorem

For Students 11th
In this algebra activity, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
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Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem activity, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Lesson Plan
EngageNY

The Decimal Expansion of Some Irrational Numbers

For Students 8th Standards
Develop a definition of irrational numbers through an exploration of square roots. The 11th instructional activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends...
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Worksheet
Curated OER

Higher Roots and Rational Exponents

For Students 9th
In this higher roots worksheet, 9th graders solve and complete 40 various types of problems. First, they simplify each root by taking the number inside times another number. Then, students write out the root using rational exponents.
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Worksheet
Curated OER

Regents Exam Questions: Rationalizing Denominators 1

For Students 9th - 12th
In this rationalizing worksheet, learners simplify expressions containing rational numbers.  They identify equivalent expressions containing fractions and square roots.  This four-page worksheet contains 16 multiple-choice problems.  An...
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Lesson Plan
Curated OER

Squares, Square Roots, and Exponential Expressions

For Teachers 7th - 8th
Students explore the concepts of square roots and exponential expressions. For this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
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Worksheet
Curated OER

Rational and Irrational Numbers

For Students 8th - 9th
Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
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Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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Worksheet
Curated OER

The Real Number System: Rational or Irrational

For Students 9th - 12th
In this real numbers worksheet, learners determine if 14 expressions when simplified are rational or irrational.  Students take the square and cube roots of numbers to determine if the result is rational or irrational.
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Lesson Plan
Curated OER

Organization and Simplifying Roots

For Teachers 9th - 11th
Students simply roots and organize it. In this algebra lesson, students solve radicals by simplifying them. They solve for squares by taking the square root of both sides of the equation. They simplify and rationalize the denominator.
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Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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Lesson Plan
Curated OER

Babylonian Mathematics I

For Teachers 8th - 10th
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
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Lesson Plan
Curated OER

Discriminating Against the Zero

For Teachers 9th - 12th Standards
Students explore the concept of quadratic equations.  In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula.  Students give examples of functions with 2...
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Activity
2
2
Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
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Activity
2
2
Illustrative Mathematics

Calculating the square root of 2

For Teachers 7th - 10th Standards
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
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Interactive
Curated OER

Review of Pre-Algebra

For Students 7th - 9th
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
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Worksheet
Curated OER

Formulae

For Students 6th - 9th
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
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Worksheet
Curated OER

Rational Exponents

For Students 11th
In this worksheet, 11th graders solve 10 different problems that include various computations with radicals. Answers are not included.
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
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Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...

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