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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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Lesson Plan
Virginia Department of Education

Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
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Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
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Worksheet
Curated OER

Comparing Numbers

For Students 7th - 9th
In this comparing worksheet, students compare decimals and percents.  They identify the largest and smallest number in a dequence.  This one-page worksheet contains 10 multiple-choice problems.  Answers are provided.
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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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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
Ohio Department of Education

Writing and Comparing Numbers in Scientific Notation-Grade Eight

For Teachers 7th - 9th Standards
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...
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Lesson Plan
Illustrative Mathematics

Comparing Speeds in Graphs and Equations

For Teachers 7th - 9th Standards
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 
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Worksheet
Curated OER

Mat 0024 Section 1.4: Signed Numbers and Decimals

For Students 7th - 10th
This activity has a little of everything. Compare fractions, determine if numbers are less than, greater than, or equal to. Then practice lining up the decimals to add and subtract decimal numbers. Then multiply decimals remembering to...
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Lesson Plan
Curated OER

Rational and Irrational Numbers 1

For Teachers 8th - 10th Standards
You'll need scissors, glue sticks, and mini whiteboards for this activity on rational and irrational numbers. Learners work in groups to classify a variety of expressions as rational or irrational. They are also given a mock discussion...
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Lesson Plan
Curated OER

Rational and Irrational Numbers 2

For Teachers 9th - 12th Standards
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
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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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Worksheet
Curated OER

Exploring Real Numbers

For Students 11th
For this algebra worksheet, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.
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Worksheet
Math Mammoth

Multiply By Whole Tens And Hundreds 1

For Students 5th - 9th
In this multiply by whole tens and hundreds worksheet, students problem solve and calculate fifty seven equations either by writing the additions as multiplications, solving and comparing and/or filling in the missing factors.
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Worksheet
Curated OER

Negative Numbers on the Number Line Using the TI-83

For Students 7th - 9th
In this negative numbers worksheet, students use the TI-83 calculator to compare the value of negative numbers. Students explain in short answer format how they used the calculator to determine their answers.
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Worksheet
Curated OER

Quiz: Exponents to Numbers and Compare Exponents

For Students 9th - 10th
In this exponent worksheet, students multiply fractions and decimal numbers according to the given power and identify the value as a standard number. The integers contain both negative and positive exponents. This one-page worksheet...
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Lesson Plan
Curated OER

Multiplying Mixed Numbers

For Teachers 7th - 9th
In this multiplying mixed numbers worksheet, young scholars with a partner problem solve and calculate the answers to ten word problems and mathematical equations.
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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
Virginia Department of Education

Exponents

For Teachers 7th - 10th Standards
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
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Lesson Plan
Curated OER

Dividing By Two-digit Divisors

For Teachers 7th - 9th
In this dividing by two-digit divisors worksheet, students working with a partner problem solve and calculate the answers to ten word problems and mathematical division equations.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
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Assessment
Concord Consortium

Last Digit Arithmetic

For Students 7th - 10th Standards
Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve both...
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Worksheet
Curated OER

Multiplying Mixed Numbers Worksheet

For Students 8th - 9th
To practice multiplying fractions and mixed numbers, students choose a starting whole number and multiply it by a mixed number. Students then answer a number of questions about ratios for different problems. This worksheet is intended...

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