## Module-Lessons

II. Number-Operations

# Modules

Math4 – Number Operations

M4.1 – Concepts of Fractions, Ratios, and Percents

• Fractions
• Ratios: Part to Whole
• Ratios: Part to Part
• Percent
• Conclusion

M4.2 – Concepts of Decimal Place Value and Fraction and Percent Equivalents

• Decimal Place Value and Fraction and Percent Equivalents
• Changing Decimals to Fractions and Fractions to Decimals
• Changing Fraction to a Percent
• Benchmark Fraction and Fraction Equivalents
• Conclusion

M4.3 – Factors and Prime Factorization

• Finding Factors of a Number
• Finding the Prime Factorization of a Number
• Common Factors and Greatest Common Factor
• Using Prime Factorization to Find the GCF

M4.4 – Prime Factorization, GCF, and LCM

• Least Common Multiple
• Using Prime Factorization to Find the LCM
• Applications Using the LCM of More Than Two Numbers
• Applications Using the GCF of More Than Two Numbers
• Conclusion

M4.5 – Simplifying and Converting Fractions

• Rational Numbers and Equivalent Fractions
• Simplifying Fractions to Lowest Terms
• Converting an Improper Fraction to a Mixed Number
• Converting Mixed Number to Improper Fractions
• Conclusion

Math5 – Decimal Operations, Exponent, and Powers

M5.1 – Rounding and Comparing Decimals

• Rounding Decimals to a Given Place Value
• Comparing Positive Decimals
• Comparing Negative Decimals
• Conclusion

M5.2 – Converting, Comparing, and Ordering

• Ordering Fractions, Decimals, and Integers
• Comparing Fractions, Decimals, and Percents
• Conclusion

M5.3 – Adding and Subtracting Decimals

• Estimation of Decimal Sums and Differences
• Adding Decimals Using Models and Standard Algorithm
• Subtracting Decimals Using Models
• Standard Decimal Subtraction
• Conclusion

M5.4 – Multiplying Decimals

• Model Multiplication of Decimals
• Multiply Decimals by Powers of Ten
• Estimating Decimal Products
• Multiplying Decimals Using the Standard Method
• Conclusion

M5.5 – Dividing Decimals

• Estimating Quotients using Front-end Estimation, Rounding, and Compatible Numbers
• Dividing Decimals Using Models
• Dividing Decimals by Whole Numbers
• Dividing Decimals by Decimals
• Conclusion

M5.6 – Exponents and Powers

• Exponents and Powers
• Using Exponents and Powers in Expressions
• Zero and Negative Exponents
• Solving Problems with Exponents and Powers
• Conclusion

M5.7 – Scientific Notation

• Powers of 10 with Integers Exponents
• Multiply by a Power of Ten with an Integer Exponent
• Scientific Notation
• Converting Between Standard and Scientific Notations (Numbers Greater than One)
• Conclusion

Math6 – Computational Fluency and Fractions

M6.1 – Adding and Subtracting Fractions with Like Denominators

• Adding Fractions with Like Denominators
• Subtracting Fractions with Like Denominators
• Conclusion

M6.2 – Adding Fractions with Unlike Denominators

• Model Adding Fractions with Unlike Denominators
• Adding Fractions with Unlike Denominators
• Conclusion

M6.3 – Subtracting Fractions with Unlike Denominators

• Model Subtracting Fractions with Unlike Denominators
• Subtracting Fractions with Unlike Denominators Using the LCM/LCD
• Conclusion

M6.4 – Adding and Subtracting Mixed Numbers

• Subtracting Mixed Numbers
• Conclusion

M6.5 – Multiplying Fractions

• Multiplying Fractions with or without Models
• Simplifying Fractions before Multiplying
• Multiplying with Mixed Numbers
• Conclusion

M6.6 – Dividing Fractions

• Fraction or Mixed Number Divided by a Nonzero Whole Number Using Models and the Invert-and-Multiply Algorithm
• Whole Number, Mixed Number, or Fraction Divided by a Fraction Using Models and the Denominator Algorithm
• Conclusion

Math7 – Ratio, Proportion, and Percent

M7.1 – Square Roots

• Number Models
• Perfect Squares and Their Square Roots
• Problem Solving Using Squares and Square Roots
• Conclusion

M7.2 – Finding Percents

• Percent and Ratio
• Finding the Percent of a Number
• Proportions
• Conclusion

M7.3 – Decimal and Percent Equivalents

• Decimal and Percent Equivalent for Proper Fractions
• Decimal and Percent Equivalent for Repeating Decimals
• Decimal and Percent Equivalent of Mixed Numbers
• Conclusion

M7.4 – Ratios, Rates, and Proportional Reasoning

• Ratios, Rates, and Unit Rates
• Use Ratios and Proportions to Solve Problems
• Comparing Rates
• Conclusion

M7.5 – Percent Proportions

• Use the Percent Proportion to Write Fractions as Percents
• Estimate a Percent of a Number
• Determine the Percent of a Number and Solve Problems
• Conclusion

M7.6 – Using Percent Equations

• Find the Percent of a Number
• Find the Percent One Number is of Another
• Find a Number When a Percent is Given
• Conclusion

M7.7 – Problem Solving with Percents

• Percent of Increase and Percent of Decrease
• Simple Interest
• Compound Interest
• Conclusion