Worksheet
Curated OER

Number Theory and The Real Numbers

For Students 9th
In this algebra learning exercise, 9th graders define rational and irrational numbers and answer questions about properties of real numbers. There are 38 questions on this test.
Worksheet
Curated OER

Irrational Numbers

For Students 9th
In this irrational numbers worksheet, 9th graders solve 10 different problems that include determining the approximations of various irrational numbers. First, they solve each irrational number in the first set to the nearest tenth....
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.
Lesson Plan
Curated OER

Simplify Radicals

For Teachers 7th - 8th
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
Lesson Plan
Curated OER

Order in the Classroom

For Teachers 1st
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Lesson Plan
Curated OER

A Slice of Pi

For Teachers 7th - 9th
Math pupils, by viewing a video, discover the history of pi and some of the applications of its uses in the world today. They conduct an experiment by measuring the diameter and circumference of various circular objects to calculate...
Lesson Plan
Curated OER

Discriminating Against the Zero

For Teachers 9th - 12th Standards
Students explore the concept of quadratic equations.  In this quadratic equations lesson plan, students find the roots or zeros of quadratic equations using the quadratic formula.  Students give examples of functions with 2...
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...
Lesson Plan
Curated OER

Add Positive And Negative Numbers

For Teachers 6th - 8th
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
Lesson Plan
Curated OER

Does the Decimal Point Really Make a Difference?

For Teachers 4th
Fourth graders study the decimal dilemma and discover major math mistakes in the real world with cheeseburgers advertised for .99 cents each or colas for .89 cents each.
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 1)

For Teachers 9th - 12th Standards
This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly...
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.
Lesson Plan
1
1
EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
Lesson Plan
Curated OER

Squares and Square Roots II

For Teachers 7th - 8th
Pupils 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...
Lesson Plan
Curated OER

Do You Have Number Sense?

For Teachers 7th
Seventh graders are grouped according to their ability level with a captain who is elected by the students in that particular group. Students demonstrate their knowledge of rational and irrational numbers by defining them. Students use a...
Worksheet
Curated OER

Math 32 Worksheet: Quadratic Equations

For Students 9th - 12th
For this quadratic equations worksheet, students solve 12 short-answer problems.  Students find real and irrational solutions to given functions.  Students raise irrational numbers to irrational powers.
Lesson Plan
Curated OER

Meter Marker Mania

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

Logic Homework

For Students 9th - 10th
In this algebra worksheet, learners use Venn diagrams to differentiate between rational and irrational numbers. They solve word problems using algebraic expressions. There are 14 questions.
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...
Lesson Plan
Curated OER

Numbers 1.1

For Teachers 11th - 12th
In this numbers 1.1 worksheet, pupils solve 64 problems about all kinds of numbers:  rational, irrational, prime, composite, square roots, fractions, decimals.
Lesson Plan
Curated OER

Numbers, Numbers Everywhere!

For Teachers 5th - 8th
Explore properties of integers! In this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.

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