6th-Grade Math

Numbers

• What are Natural Numbers 
• What are Whole Numbers
• Properties of Zero
• Properties of One  
• Properties of Addition  
• Properties of Multiplication  
• Properties of Division  
• Adding through 6-Digit Numbers 
• Subtracting through 6-Digit Numbers  
• Estimating Sums and Differences  
• Multiplying and Dividing Whole Numbers 
• Multiply 2, 3, and 4 Digits by 1 Digit  
• Multiply 2, 3, and 4 Digits by 2 Digits  
• Multiply 3 and 4 Digits by 3 Digits
• Dividing 2 Digits by 2 Digits
• Estimating Products and Quotients
• What are Even and Odd Numbers
• What are Prime Numbers  
• What are Composite Numbers  

Factors and Multiples

• Define Factors  
• Define Multiples  
• Factorization
• What is Highest Common Factor (HCF)  
• What is Least Common Multiples ( LCM) 
• How to Find L.C.M by Prime Factorization Method  
• How to Find L.C.M by Division Method  
• Relationship between H.C.F and L.C.M of Two Numbers 
• Using HCF with Distributive Property

Decimals and Fractions

• Adding and Subtracting Decimals  
• Multiplying and Dividing Decimals  
• Fraction to Decimals Conversion  
• Decimals to Fraction Conversion  
• Comparing and Ordering Decimals 
• Inserting Zeros when Adding/Subtracting Decimals  
• Whole Number Divided by Decimals  
• Decimals by Decimals Division  
• Changing Fractions and Decimals to Percentages  
• Reducing Fractions to Simplest Forms  
• Common Denominators  
• Improper Fractions and Mixed Numbers  
• Simplifying Mixed Numbers  
• Adding and Subtracting Fractions with Like Denominators  
• Adding and Subtracting Fractions with Unlike Denominators
• Adding and Subtracting Mixed Numbers with Unlike Denominators  
• Adding Fractions and Mixed Numbers  
• Subtracting Fractions and Mixed Numbers  

Money (Reality Examples)

• Adding Money 
• Subtracting Money  
• Multiplying Money  
• Dividing Money

Integers

• Introduction to Integers 
• Comparing of Integers 
• Addition Operation on Integers
• Subtraction Operation on Integers
• Multiplication Operation on Integers
• Division Operation on Integers

Square Roots

• Square Roots of Whole Numbers
• Square Roots by using Prime Factors

Ratio and Proportion

• Define Ratio and Proportion
• Cross Production
• What is Percentage
• Learn about Interest and Loss
• What is Rate
• What is Unit Price 

Geometry

• What are Points and Rays
• What is line
• What is Plane 
• Properties of Points and Lines
• Define an Angle
• Types of Angles
• Introduction to Triangles
• Properties of Triangles
• Introduction of Circle

Percents

• Finding Percentages
• Wacky Wanda Method
• Finding Equivalent Fractions and Decimals using Percents
• Using Percents in Tax, Tip, and Discount
• Changing Percents to Decimals
• Changing Percents to Fractions in Simplest Forms

Preparing for Algebra

• Translating Algebraic Phrases
• Addition in Equations
• Subtraction in Equations
• Multiplication in Equations
• Division in Equations 
• Solving 2-step Equations
• Exponents and Scientific Notation
• Order of Operations
•  P.E.M.D.A.S Method

Measurement and Shapes

• Calculating Area
• Calculating Perimeter
• Area of Parallelogram
• Area of Triangle
• Classifying Quadrilaterals
• Area of Quadrilaterals
• Solid Shapes
• Finding Volume of Shapes
• Customary Measurement
• Units of Length
• Units of Capacity
• Units of Weight
• Metric Measurements
• Probability