Virginia Department of Education
Ground Zero
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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Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
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Number Types: Where Vocabulary Meets Numbers
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...
EngageNY
The Long Division Algorithm
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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Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
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Number Theory - Week 12
In this number theory worksheet, students study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.
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Numbers Beyond Reason!
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
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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.
EngageNY
What Is Area?
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...
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
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Real Number System
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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Do You Have Number Sense?
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...
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Number Subsets: Winning the Number Game
Eighth graders review their examineing about numbers and number systems through playing the Number Game. They create a list of numbers and based upon the characteristics and properties of the numbers they earn points.
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Number Sense: Real Numbers
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
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Mathematical Jeopardy
Middle schoolers use the popular game of Jeopardy to explore different mathematical concepts. They are highly engaged with the use of technology for this instructional activity. They function using higher-order thinking skills in order...
EngageNY
Using the Quadratic Formula
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, and...
EngageNY
Square Roots
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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Simplify Radicals
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.
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Use Models to Compare and Order Integers
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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Subtraction With Integers
This thorough introduction to the concept of subtracting negative integers walk learners through the necessary steps using teacher modeling and guided practice. Number lines and various word problems are used to support understanding of...
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Order in the Classroom
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
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A Slice of Pi
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...
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Fractions And Integers Review
Investigate the concepts of fractions and integers in order to review for a future assessment. The teacher reviews the major concepts with the class and provides help throughout the lesson as needed. Math middle schoolers work together...
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