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Lesson Plan
Curated OER

Ordering Rational Numbers and Finding Their Approximate

For Teachers 6th - 8th
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
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Workbook
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University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Worksheet
Curated OER

Study Guide: Rational Numbers

For Students 6th - 8th
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
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Lesson Plan
Curated OER

The Number Line

For Teachers 6th - 8th
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
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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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Lesson Plan
Curated OER

Is Bigger Always Better?

For Teachers 6th - 8th
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
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Worksheet
Math Doctor

Chapter 2: Integers & the Number Line

For Students 6th - 8th Standards
Here is an extensive set of teacher's notes to help you teach all about integers. Begin by introducing a number line and how it can be used to visualize positive and negative numbers. Talk about absolute value and the additive inverse...
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Lesson Plan
Mathematics Assessment Project

Using Positive and Negative Numbers in Context

For Teachers 6th - 8th Standards
Measure the temperature of your math class with a temperature-based instructional activity on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a...
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Lesson Plan
Curated OER

Does Order Really Matter?

For Teachers 7th - 9th
Investigate the order of operations! Learners participate in interactive multi-media activities to examine and solve multi-step equations, inequalities. They evaluate formulas and simplify monomials and polynomials.
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Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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Lesson Plan
Curated OER

Alternative Algorithms

For Teachers 6th - 8th
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
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Worksheet
Curated OER

Rational Numbers

For Students 7th - 8th
In this rational numbers learning exercise, students solve and complete 15 different problems that include comparing and ordering various rational numbers. First, they fill in each blank with the correct symbol to make the sentence true....
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Worksheet
Curated OER

Fractions and Rationals

For Students 5th - 8th
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
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Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 7

For Students 8th Standards
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
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Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
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Worksheet
Curated OER

Descending Order of Rational Numbers Worksheets

For Students 6th - 8th
In this rational numbers worksheet, students order 5 rational numbers in descending order in each of 20 examples. They order the fractions and decimals on-line and print the pages as needed.
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Worksheet
Curated OER

Rational Numbers

For Students 8th - 9th
For this rational numbers worksheet, students solve and complete 35 different problems that include identifying a number of rational numbers. First, they replace each blank line with greater than, less than, or equal to symbols to make...
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Worksheet
Curated OER

Rational Numbers

For Students 8th - 9th
In this rational numbers worksheet, learners solve and complete 31 different problems that include multiplication of each. First, they determine the product of each problems, changing their signs when needed. Then, students simplify each...
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Lesson Plan
Curated OER

Make a Math Mascot

For Teachers 7th - 8th
Create a math mascot by identifying irrational and rational numbers. Learners will also solve linear equations.
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Lesson Plan
Curated OER

Real Numbers in the Real World

For Teachers 6th - 8th
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson, pupils perform order of operations on the set of real numbers using a calculator.
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Assessment
Charleston School District

Review Unit 7: Real Numbers

For Students 8th Standards
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
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Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
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Lesson Plan
Curated OER

Algebra 1: Simplifying Radicals

For Teachers 8th - 9th Standards
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...