Unit 1: Number Systems and Operations

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Master the fundamentals of numbers, from basic operations to advanced concepts, building a solid foundation for mathematical success

📚 7 Sections⏱️ 45-60 min🎯 Interactive

Learning Objectives

  • Understand place value in whole numbers up to millions
  • Perform addition and subtraction with multi-digit numbers
  • Master multiplication and division facts
  • Solve word problems involving basic operations
  • Use estimation to check reasonableness of answers

Your Progress

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Unit Overviewvideo
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Khan Academy Videosvideo
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Math Antics Videosvideo
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Virtual Nerd Videosvideo
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Practice Problemspractice
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My Worksheetspractice
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Unit 1 Quizquiz
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Khan Academy Videos

Factors and Multiples

Understanding factors, multiples, and prime numbers

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Dividing Fractions

Learn how to divide fractions step by step

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Decimals

Master decimal operations and place value

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Math Antics Videos

Prime Factorization

This video explains how to perform prime factorization, breaking down a number into its prime factors. It uses clear visuals to show how to identify and write prime factors for any number.

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Long Division

This video covers long division, showing a fast and simple method to divide large numbers. It breaks down each step, making long division easy to understand and master.

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Adding and Subtracting Fractions

This video teaches how to add and subtract fractions, explaining how to find a common denominator and perform the operations accurately.

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Multiply Fractions

This video demonstrates how to multiply fractions, showing how to multiply numerators and denominators directly and how to simplify the result.

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Dividing Fractions

This video explains how to divide fractions using the concept of reciprocals. It shows a simple, step-by-step process for dividing fractions: flip the second fraction (reciprocal) and multiply. Clear visuals and examples make the method easy to understand.

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Virtual Nerd Videos

Subtracting Decimals

This video explains how to subtract decimals by lining up the decimal points and subtracting as you would with whole numbers. It provides clear examples and tips for avoiding common mistakes.

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Multiplying Decimals

This video demonstrates how to multiply decimals, focusing on ignoring the decimal points until the final step. It shows how to correctly place the decimal in the final answer.

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Multiplying Fractions

This video covers how to multiply fractions by multiplying the numerators and denominators directly. It also explains how to simplify the resulting fraction.

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Adding Fractions

This video teaches how to add fractions with the same denominator, showing how to simply add the numerators. It also covers finding a common denominator for fractions with different denominators.

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Practice Worksheets

K5 Learning Worksheets

Free Grade 6 math worksheets covering all topics

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Factors Worksheets

Practice finding factors and prime factorization

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GCF Worksheets

Greatest Common Factor practice problems

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LCM Worksheets

Least Common Multiple practice problems

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Fractions Worksheets

Comprehensive fraction practice problems

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Decimals Worksheets

Decimal operations and place value practice

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My Worksheets

Worksheet 1

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Worksheet 2

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Unit 1: Number System and Operations Quiz

easy1 of 4

What is the area of a rectangle with length 8 cm and width 5 cm?