EngageNY
Infinite Decimals
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....
Curated OER
Numbers, Numbers Everywhere!
Explore properties of integers! For this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.
Curated OER
Number Sense and Numeration
Young scholars add and subtract integers. In this algebra instructional activity, students discuss number sense as they sort numbers in the correct order. They analyze and label numbers differentiating between rational and irrational...
Curated OER
Real Number System Graduated Bowl Activity
Eighth graders determine which numbers are rational numbers. In 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.
Curated OER
Number Theory and The Real Numbers
In this algebra worksheet, 9th graders define rational and irrational numbers and answer questions about properties of real numbers. There are 38 questions on this test.
Curated OER
Algebra Test
In this algebra worksheet, students solve problems that are rational and irrational. They rewrite fractions as decimals and show understanding of basic number properties. There are 25 questions.
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to illicit...
Curated OER
Square Roots and Exponents
Eleventh graders solve problems with roots and exponents. In this algebra lesson, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root of rational and...
Curated OER
Topic 6.4 - The Quadratic Formula and Discriminant
In this quadratic equation worksheet, students find the exact value of the discriminant and describe the nature of the roots of each quadratic equation. They then solve the equation. There are 9 problems on this page to solve.
Curated OER
Properties of Real Numbers
In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
Curated OER
Special Right Triangles
Students identify the different parts of a right triangle. For this geometry lesson, students use the Pythagorean Theorem to identify missing sides and angles of a right triangle. They work with irrational and rational roots.
Curated OER
Coordinates
Students identify and label the coordinate planes by the four different quadrants. In this geometry lesson plan, students plot an ordered pair correctly. They identify and differentiate between rational and irrational numbers.
Curated OER
Number Theory - Week 12
In this number theory worksheet, pupils study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.
Curated OER
The Number System
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.
Curated OER
Simplifying Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Curated OER
Integrated Algebra Practice: Square Roots
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....
CK-12 Foundation
The Real Numbers: Number System
Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.
Curated OER
Number Systems and Mental Math
In this Number System worksheet, students solve thirty problems using mental math and ten with a calculator. Students also classify numbers as rational or irrational.
Curated OER
Logic Homework
In this algebra worksheet, students use Venn diagrams to differentiate between rational and irrational numbers. They solve word problems using algebraic expressions. There are 14 questions.
Curated OER
Meter Marker Mania
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.
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Curated OER
Whole Numbers
A game is a great way to learn. Study what makes an integers, their traits, and characteristics. This instructional activity includes 3 separate activities intended to promote an understanding of integers, whole numbers, and opposites....
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