**01 Addition and Subtraction**

**Introduction to Addition and Subtraction**

**Two Digit Addition and Subtraction**

**Addition with Carrying**

**Subtraction with Borrowing**

**Addition and Subtraction Word Problem**

subtraction word problem (video)

**02 Multiplication and Division**

**Multiplication**

**Division**

**Distributive Property**

distributive property (1) (video)

distributive property (2) (video)

**Order of Operations**

order of operations (1) (video)

order of operations (2) (video)

order of operations (3) (video)

order of operations (4) (video)

order of operations (5) (video)

**Place Value**

**Multi-Digit Multiplication**

2 digits times 1 digit number (video)

2 digits time 2 digit number (video)

multiple digit numbers (video)

**Rounding Whole Numbers**

rounding whole numbers (1) (video)

rounding whole numbers (2) (video)

rounding whole numbers (3) (video)

**03 Factors and Multiples**

**Divisibility Tests**

divisibility tests for 2, 3, 4, 5, 6, 9, 10 (video)

recognizing divisibility (video)

the why of the 3 divisibility rule (video)

the why of the 9 divisibility rule (video)

**Divisibility and Factors**

finding factors of a number (video)

divisibility intuition (video)

**Least Common Multiple**

least common multiple (1) (video)

least common multiple (2) (video)

**Greatest Common Divisor**

greatest common divisor (video)

## **04 Negative Numbers and Absolute Value**

**Negative Number Basics**

negative numbers introduction (video)

ordering negative numbers (video)

**Adding and Subtracting Negative Numbers**

adding negative numbers (video)

adding integers with different signs (video)

why subtracting a negative is equivalent to adding a positive (video)

adding decimals of different signs word problems (video)

adding and subtracting negative numbers (video)

**Multiplying and Dividing Negative Numbers**

multiplying positive and negative numbers (video)

why a negative times a negative is a positive (video)

why a negative times a negative makes intuitive sense (video)

dividing positive and negative numbers (video)

multiplying and dividing negative numbers (video)

**Absolute Value**

absolute value and number lines (video)

absolute value of integers(video)

comparing absolute value (video)

**05 Decimals and Percent**

**Conceptualizing Decimal and Percent Notation**

decimal place value (1) (video)

decimal place value (2) (video)

decimals on a number line (video)

points on a number line (video)

**Adding and Subtracting Decimals**

subtracting decimals word problem (video)

adding decimals of different signs word problem (video)

**Multiplying Decimals**

multiplying decimals (1) (video)

multiplying decimals (2) (video)

multiplying a decimal by a power of 10 (video)

dividing a decimal by a power of 10 (video)

**Dividing Decimals**

**Converting between Fractions and Decimals**

decimals and fractions (video)

converting fractions to decimals (video)

converting fractions to decimals (example) (video)

converting decimals to fractions (example) (video)

**Introduction to Percentages**

describing the meaning of percent (1) (video)

describing the meaning of percent (2) (video)

representing a number as a decimal, percent and as a fraction (1) (video)

converting decimals to percent (example) (video)

identifying percent amount and base (video)

representing a number as a decimal, percent and as a fraction (2) (video)

**Percent Word Problems**

growing by a percentage (video)

solving percent problems (1) (video)

solving percent problems (2) (video)

solving percent problems (3) (video)

**Estimating and Rounding with Decimals**

estimation with decimals (video)

**Significant Figures**

more on significant figures (video)

addition and subtraction of significant figures (video)

multiplying and dividing of significant figures (video)

**Moving a Decimal to Multiply and Divide by 10**

multiplying a decimal by a power of ten (video)

dividing a decimal by a power of ten (video)

dividing a decimal by a power of ten (2) (video)

**Adding and Subtracting Decimals, Percentages and Fractions**

adding and subtracting a decimal percentage and fraction (video)

adding fractions, decimals and percentages (video)

adding and subtracting three fractions (video)

**06 Fractions**

**Understanding Fractions**

introduction to fractions (video)

identifying fraction parts (video)

numerator and denominator of a fraction (video)

plotting basic fractions on a number line (video)

**Visualizing Equivalent Fractions**

visualizing equivalent fractions (video)

**Equivalent Fractions and Simplified Form**

fractions in lowest terms (video)

finding common denominators (video)

**Comparing Fractions**

comparing fractions (1) (video)

comparing fractions (2) (video)

**Decomposing Fractions**

decomposing fractions visually (video)

decomposing a mixed number (video)

**Adding and Subtracting Fractions**

adding fractions with like denominators (video)

subtracting fractions with like denominators (video)

adding and subtracting fractions (video)

adding fractions with unlike denominators (video)

subtracting fractions with unlike denominators (video)

adding fractions with different signs (video)

**Multiplying Fractions**

multiplying fractions and whole numbers (video)

multiplying a fraction by a fraction (video)

multiplying negative and positive fractions (video)

**Dividing Fractions**

**Mixed Numbers and Improper Fractions**

comparing improper fractions and mixed numbers (video)

mixed numbers and improper fractions (video)

proper and improper fractions (video)

converting mixed numbers to improper fractions (video)

changing a mixed number to an improper fractions (video)

changing an improper fraction to a mixed number (video)

positive improper fractions on a number line (video)

ordering improper fractions and mixed numbers (video)

points on a number line (video)

**Mixed Number Addition and Subtraction**

adding mixed numbers with unlike denominators (video)

subtracting mixed numbers (1) (video)

subtracting mixed numbers (2) (video)

**Mixed Number Multiplication and Division**

multiplying fractions and mixed numbers (video)

multiplying mixed numbers (video)

reciprocal of a mixed number (video)

dividing mixed numbers (video)

dividing mixed numbers and fractions (video)

**Decimals and Fractions**

decimals and fractions (video)

converting fractions to decimals (video)

representing a number as a decimal, percent and fraction (1) (video)

representing a number as a decimal, percent and fraction (2) (video)

ordering numeric expressions (video)

converting a fraction to a repeating decimal (video)

**Number Sets**

**07 Ratios, Proportions, Units and Rates**

**Ratios and Proportions**

introduction to ratios (video)

ratios as fractions in simplest form (video)

simplifying rates and ratios (video)

**Rates**

usain bolt’s average speed (video)

**Unit Conversion (Imperial)**

converting pounds to ounces (video)

converting gallons to quarts, pints and cups (video)

converting yards into inches (video)

performing arithmetic calculations on units of volume (video)

application problems involving units of weight (video)

solving application problems involving units of volume (video)

converting units of length (video)

unit conversion with fractions (video)

**Metric System Unit Conversion**

unit conversion within the metric system (video)

converting within the metric system (video)

perimeter and unit conversion (video)

applying the metric system (video)

conversion between metric units (video)

united states and metric units (video)

**Farenheit and Celsius Conversion**

converting farenheit to celsius (video)

comparing farenheit and celsius scales (video)

**08 Exponents, Radicals and Scientific Notation**

**The World of Exponents**

introduction to exponents (video)

raising a number to the 0th and the 1st power (video)

**The Square Root**

understanding square roots (video)

approximate square roots (video)

simplifying square roots (video)

square roots and real numbers (video)

adding and simplifying radicals (video)

**The Cube Root**

cube roots of non-perfect cubes (video)

simplifying cube roots (video)

**Exponent Properties**

exponent rules (part 01) (video)

exponent rules (part 02 (video)

exponent properties involving quotients (video)

**Negative and Fractional Exponents**

negative exponent intuition (video)

zero, negative, and fractional exponents (video)

basic fractional exponents (video)

fractional exponents with numerators other than 1 (video)

**Scientific Notation**

introduction to scientific notation (video)

**Computing with Scientific Notation**

multiplying with scientific notation (video)

dividing in scientific notation (video)

multiplying and dividing in scientific notation (video)

simplifying a complicated expression into scientific notation (video)

**09 Arithmetic Properties**

**Place Value**

comparing place values (video)

**Rounding Whole Numbers**

rounding whole numbers (1) (video)

rounding whole numbers (2) (video)

rounding whole numbers (3) (video)

**Understanding Whole Number Representations**

regrouping numbers into various place values (video)

comparing whole number place values (video)

**Regrouping Whole Numbers**

regrouping whole numbers (video)

**Rational and Irrational Numbers**

recognizing irrational numbers (video)

**Order of Operations**

introduction to order of operations (video)

order of operations (1) (video)

order of operations (2) (video)

**The Distributive Property**

the distributive property (1) (video)

the distributive property (2) (video)

**Arithmetic Properties**

commutative law of addition (video)

commutative property for addition (video)

commutative law of multiplication (video)

associative law of addition (video)

associative law of multiplication (video)

properties of numbers (1) (video)

number properties terminology (video)

identity property of 1 (video)

identity property of 0 (video)

inverse property of addition (video)

inverse property of multiplication (video)

properties of numbers (2) (video)

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