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Lesson Plan
Curated OER

Multiplying and Dividing Fractions and Mixed Numbers

For Teachers 4th - 6th
Upper graders study fraction and mixed number division and also review fraction multiplication. In this fraction and mixed numbers lesson, learners work with the teacher in an oral problem solving method to multiply and divide fractions...
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Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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Worksheet
Lesson Snips

Multiplying and Dividing Fractions

For Students 4th - 7th Standards
Multiplying and dividing fractions can be simple! Help your students access these skills using this fractions activity, where they will first learn the steps by reading short informational text. The instructions are good, however the...
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Worksheet
Curated OER

Multiplying and Dividing Fractions 2

For Students 5th - 8th
Practice makes perfect when it comes to dividing and multiplying fractions! This problem-solving worksheet packet has learners putting these skills to test with negative numbers, mixed numbers, and whole numbers. Four pages give simple,...
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Worksheet
Curated OER

What Number Differs from its Reciprocal by 1?

For Students 10th - Higher Ed
In this reciprocal instructional activity, students identify the number that differs from its reciprocal by 1.  The significance of this number is that it is the golden ratio.  The solution to the problem is provided.
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Worksheet
Curated OER

Divide and Multiply Fractions

For Students 6th - 8th
In this fractions worksheet, students solve 19 short answer problems. Students convert mixed numbers to improper fractions, multiply and divide fractions, and reduce fractions.
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Worksheet
Curated OER

Dividing Mixed Numbers

For Students 6th
In this mixed numbers worksheet, 6th graders solve 20 different problems that include the division of mixed numbers. First, they change each mixed number to an improper fraction. Then, students multiply the reciprocal of the divisor,...
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Lesson Plan
Curated OER

Dividing Fractions

For Teachers 5th
Reciprocals are the method used for dividing fractions in this instructional session. A fraction is defined as being a division problem, and then the whole group works together to solve several problems. They check for the reasonableness...
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Worksheet
Curated OER

Signed Numbers

For Students 6th - 7th
Sixth and seventh graders solve and complete 8 different types of problems. First, they multiply and divide by signed numbers. Then, they rewrite any division as multiplication by the reciprocal. Pupils also work out the absolute value...
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Lesson Plan
EngageNY

The Relationship Between Visual Fraction Models and Equations

For Teachers 6th Standards
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
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Worksheet
Curated OER

Multiply Exponents

For Students 9th
In this multiplying exponents worksheet, 9th graders solve 18 different problems related to multiplying various exponents. First, they list the multiples for each number and add the new exponents. Then, students write each response out...
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Worksheet
Curated OER

Fractions and Rationals

For Students 5th - 8th
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
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Worksheet
Curated OER

Multiplying and Dividing Fractions

For Students 7th - 8th
In this math worksheet, students multiply and divide fractions and mixed numbers. They multiply two fractions, convert mixed numbers to improper fractions, and then multiply mixed numbers. Students find the reciprocals of fractions and...
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Activity
Illustrative Mathematics

Origami Stars

For Teachers 4th - 6th Standards
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
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Worksheet
Curated OER

Reteaching Page: Equations with Fractions

For Students 6th - 7th
In this equations with fractions learning exercise, students review inverse operations and reciprocals along with sample problems, then find the reciprocal and solve 3 equations with fractions.
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Lesson Plan
Curated OER

Worksheet Chapter 1 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students compare integers, translate words to a numerical expression, identify sets of numbers, identify properties, use order of operations, multiply fractions, and solve simple word problems. This 13 page...
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Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 8th - 9th
In this rational expressions worksheet, students solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students factor the...
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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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Lesson Plan
Illustrative Mathematics

How Many Servings of Oatmeal?

For Teachers 4th - 6th Standards
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...
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Worksheet
Math-U-See

Algebra 1 Readiness Test

For Students 8th - 11th
Your learners will appreciate this assessment of basic skill calculations that are prerequisite to Algebra1. Adding, subtracting, multiplying, and dividing procedures are addressed in conjunction with whole numbers, decimals, fractions,...
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Lesson Plan
Curated OER

Dividing Fractions

For Teachers 6th
In this mathematics worksheet, 6th graders identify what the quotient looks like when they divide a smaller fraction by a larger fraction. They also write the reciprocal of each divisor and multiply when necessary.
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Lesson Plan
Curated OER

Topsy-Turvy Math With Rational Numbers

For Teachers 4th
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
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Worksheet
Curated OER

Matrices

For Students 11th
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice problems. Answers...
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Lesson Plan
Curated OER

Dividing Fractions

For Teachers 5th - 7th
In this fractions worksheet, students multiply and divide fractions. Students multiply 4 fraction problems for review and divide 11 fraction problems.