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Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
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Worksheet
Curated OER

Complex Fractions

For Students 9th - 11th
In this complex fractions worksheet, students simplify given expressions. This four-page worksheet contains 14 multi-step problems. Answers are provided on the last page.
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Worksheet
Curated OER

Graphing Calculator Activity

For Students 8th - 10th
In this graphing calculator worksheet, students explore the steps to analyze a complex fraction using a graphing calculator. They simplify a complex fraction to a proper fraction. This four page worksheet contains detailed instructions...
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Worksheet
Curated OER

Simplifying Complex Fractions/Expressions

For Students 8th - 9th
In this simplifying complex fractions and expressions worksheet, students solve 10 different problems that include simplifying fractions. First, they determine the least common denominator of all fractions with the complex fraction....
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Worksheet
Ms. McLaughlin's Homework Page

Simple, Compound, and Complex Sentences

For Students 5th - 9th Standards
Find out just how much your pupils know about simple sentences, subjects and predicates, sentence fragments, coordinating and subordinating conjunctions, compound sentences, complex sentences, and more! This review page includes...
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Worksheet
Curated OER

More Complex Fraction Problems

For Students 4th - 6th Standards
If your fifth graders have mastered fractions, push them to the next level! They multiply fractions by whole numbers and decimals (in the form of money math). The worksheet provides space for pupils to write out their work, based on two...
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Lesson Plan
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Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
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Worksheet
Curated OER

Math 121 - Complex Fractions and Radicals

For Students 9th - 11th
In this complex fraction learning exercise, students simplify complex fractions containing radicals. This two-page learning exercise contains approximately 25 problems. Answers are provided on the second page.
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Worksheet
Curated OER

Complex Fractions

For Students 9th
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
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Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
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Worksheet
Curated OER

Following Directions: Expanded and Complex Directions

For Students 3rd - 4th
For this expanded and complex directions worksheet, students indicate which 5 pictures best describe each of the 5 sentences at the bottom of the sheet.
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Lesson Plan
Curated OER

Algebraic Fractions

For Teachers 8th - 9th
In this algebra worksheet, students factor the numerator and denominator of 20 complex fraction to determine common terms. The first six problems require students to simplify. The final 14 problems require either multiplication or...
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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Worksheet
Curated OER

Imaginary Unit & Standard Complex Form

For Students 11th - 12th
In this imaginary unit activity, students solve quadratic equations. They write fractional expressions in standard form and identify the values of a complex number. Six of the ten problems on this one-page activity contain imaginary...
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Worksheet
Curated OER

Practice With Complex Fractions

For Students 6th - 8th
For this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
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Worksheet
Curated OER

Dividing Larger Numbers

For Students 5th - 6th Standards
As math scholars begin taking on more complex division problems, it's time to cover the different ways to show remainders. Here, they complete eight long-division equations with a fraction remainder and then eight more with a unit...
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Worksheet
Curated OER

What Time Is It? Part 2

For Students K - 2nd Standards
Tell time to the half hour with these analog clocks! The first six problems invite first graders to write the correct times below, while the second set of problems provide the time and empty clock faces. A great way to review your time...
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Assessment
Concord Consortium

A Monosignic Function

For Students 11th - 12th Standards
Complex fractions and trigonometric expressions combine to create a challenging task ... as if they aren't challenging enough on their own! The task challenges individuals to consider the range of possible values when substituting in the...
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Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Assessment
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California Education Partners

Cady's Cats

For Students 5th Standards
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
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Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
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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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Assessment
Illustrative Mathematics

Find 1 Starting from 5/3, Assessment Variation

For Students 3rd Standards
Take two steps back. Given 5/3 on a number line, the task asks pupils to determine where one goes. The activity is the most demanding in cognitive complexity of three tasks dealing with the placement of fractions on a number line.
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Lesson Plan
Curated OER

Solving Rational Equations

For Teachers 8th - 9th
Algebra learners solve various rational equations. These start out fairly basic and get a little more complex. 

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