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Worksheet
Curated OER

Properties of Real Numbers

For Students 9th
In this properties of real numbers worksheet, 9th graders solve and complete 24 different problems that include applying the various property types of real numbers. First, they name the set of numbers to which each number belongs. Then,...
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Lesson Plan
Curated OER

Lesson 2 Ordering Numbers

For Teachers 6th - 8th
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
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Worksheet
Curated OER

Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)

For Students 9th - 12th
In this algebra worksheet, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page worksheet contains a variety of 67 problems.
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Lesson Plan
Curated OER

Use Models to Compare and Order Integers

For Teachers 6th - 7th
Students investigate the concept of integers and how they should occur in the realm of irrational numbers. The lesson includes the use of positive and negative integers. The lesson is a good foundation in order to move into calculating...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 8th - 10th
In this Algebra II worksheet, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page worksheet provides explanation and examples in addition to ten practice problems. Solutions are...
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
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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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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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Lesson Plan
Curated OER

Real Number System Graduated Bowl Activity

For Teachers 8th
Eighth graders determine which numbers are rational numbers. For this number lesson students answer a series of questions related to natural and whole numbers as well as integers and rational numbers. Students work cooperatively in groups.
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Lesson Plan
Curated OER

Number Types: Where Vocabulary Meets Numbers

For Teachers 6th - 12th Standards
Rational, irrational, real, natural. All these words can refer to numbers. Who knew? Learners use the Visual Thesaurus and a semantic feature analysis grid to examine the different attributes of numbers. Step-by-step instructions for...
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Lesson Plan
Curated OER

Positive and Negative Numbers

For Teachers 6th - 9th
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics instructional activity, learners use Algebra blocks to demonstrate multiplying polynomials.
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Worksheet
Curated OER

Integrated Algebra Practice: Square Roots

For Students 8th - 10th
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
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Lesson Plan
Virginia Department of Education

Ground Zero

For Teachers 6th
Don't harbor any negative feelings toward negative numbers. Scholars learn about different classifications of rational numbers, including negative integers. They also develop definitions of the opposite and the absolute value of a...
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Lesson Plan
Curated OER

Meter Marker Mania

For Teachers 4th - 6th
Students identify integers as rational and irrational numbers. In this algebra lesson, students measure and construct number lines using positive and negative integers. They convert between decimals and fractions.
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Lesson Plan
Curated OER

Worksheet Chapter 1, 1.2-1.8 College Prep Algebra

For Teachers 8th - 12th
In this algebra worksheet, students complete a variety of basic algebra problems. They compare integers, identify sets of numbers, simplify equations, translate words into numerical expressions, and identify properties. This worksheet...
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Worksheet
Curated OER

Signed Numbers

For Students 6th
In this signed numbers worksheet, 6th graders solve and complete 4 different types of problems. First, they calculate each problem using a number line. Then, students solve each word problem as indicated.
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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
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
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Handout
Curated OER

The Number System

For Students 11th - 12th
Review complex numbers, real numbers, irrational and rational numbers, integers, and whole numbers with math students. Use this guide as a reference sheet or handout. 
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Lesson Plan
Curated OER

Coordinates

For Teachers 9th - 10th
Students identify and label the coordinate planes by the four different quadrants. In this geometry lesson, students plot an ordered pair correctly. They identify and differentiate between rational and irrational numbers.
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Lesson Plan
Curated OER

Squares and Square Roots II

For Teachers 7th - 8th
Students evaluate squares and square roots. Through practice, they discover the inverse relationship between squares and square roots. Students take notes, solve square root and square root problems, and classify numbers as rational or...
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Lesson Plan
Curated OER

Addition Review

For Teachers 8th - 12th
Students explore the concept of addition as used in the subject of Algebra while reviewing the different methods using a number line. The instructional activity includes examples for students to use for scaffolding for group work or...
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Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...