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Lesson Plan
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
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Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
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Activity
Education Development Center

Word Problem with Rational Numbers—Balancing Bars of Soap

For Teachers 4th - 5th Standards
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
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Lesson Plan
Ohio Department of Education

Number Subsets: Winning the Number Game - Grade Eight

For Teachers 7th - 9th
Young leearners identify subsets of the real number system and play a number game to identify natural numbers, whole numbers, integers, rational and irrational numbers.
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Assessment
1
1
Balanced Assessment

Smaller, Larger, In-Between

For Students 7th - 12th Standards
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
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Lesson Plan
PBS

Adding Integers

For Teachers 6th - 7th Standards
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
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Lesson Plan
EngageNY

Infinite Decimals

For Students 8th Standards
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
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Lesson Plan
Curated OER

Rational Functions

For Teachers 9th - 11th
Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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Assessment
1
1
Balanced Assessment

Transformation II

For Students 9th - 12th Standards
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
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Lesson Plan
Curated OER

Watch Your P' and Q's

For Teachers 9th - 12th Standards
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
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Lesson Plan
Curated OER

One Size Fits All, Part 1

For Teachers 5th - 8th
Can you tell how tall someone is just by looking at their feet? In this activity, young mathematicians measure their height, arm span, and foot size, graph their findings, and answer questions about how these measurements are related....
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Activity
5280 Math

Decimal Patterns

For Teachers 8th - 10th Standards
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
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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 lesson plan in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and...
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Worksheet
Mathematics Assessment Project

Division

For Students 6th - 8th Standards
When you divide two integers you can get a decimal form of a rational number that repeats. How do you interpret that number in real-world situations? Her is an example question: What does 2.6666666666 mean in terms of an amount of money? 
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Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
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Lesson Plan
1
1
Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
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Lesson Plan
Curated OER

Rational Expressions

For Teachers 9th - 11th
Young scholars simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
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Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
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Lesson Plan
1
1
EngageNY

Equations Involving a Variable Expression in the Denominator

For Students 9th - 10th Standards
0/0 doesn't equal 0! Begin this lesson plan by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
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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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Lesson Plan
Curated OER

Real Number System

For Teachers 9th
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
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Lesson Plan
Curated OER

Rational Numbers

For Teachers 6th - 8th Standards
Young scholars investigate rational numbers in this algebra lesson. They graph systems of equations and use technology to find the point of intersection. They need a TI for this assignment.
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Lesson Plan
Curated OER

Represent Rational Numbers

For Teachers 6th - 7th
Students identify expanded notation and scientific notation. In this rational numbers activity, students use a calculator to discover the powers of 10. Students practice writing numbers in expanded notation using powers of 10. Students...

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