BASIC MATH SKILLS

01 Addition and Subtraction

Introduction to Addition and Subtraction

addition (1) (video)

subtraction (1) (video)

Two Digit Addition and Subtraction

addition (2) (video)

subtraction (2) (video)

Addition with Carrying

addition (3) (video)

addition (3) (video)

Subtraction with Borrowing

subtraction (3) (video)

why borrowing works (video)

subtraction (4) (video)

Addition and Subtraction Word Problem

subtraction word problem (video)

02 Multiplication and Division

Multiplication

multiplication (1) (video)

multiplication (2) (video)

multiplication (3) (video)

Division

division (1) (video)

division (2) (video)

division (3) (video)

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

place value (1) (video)

place value (2) (video)

place value (3) (video)

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 (1) (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)

comparing decimals (video)

decimals on a number line (video)

points on a number line (video)

Adding and Subtracting Decimals

adding decimals (video)

subtracting decimals (video)

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

dividing decimals (1) (video)

dividing decimals (2) (video)

dividing decimals (3) (video)

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

rounding decimals (video)

estimation with decimals (video)

Significant Figures

significant figures (video)

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)

equivalent fractions (video)

finding common denominators (video)

Comparing Fractions

comparing fractions (1) (video)

comparing fractions (2) (video)

ordering fractions (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 fractions (video)

multiplying negative and positive fractions (video)

Dividing Fractions

dividing fractions (video)

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 (video)

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

number sets (1) (video)

number sets (2) (video)

number sets (3) (video)

number sets (4) (video)

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)

finding unit rates (video)

finding unit prices (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)

speed translation (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)

powers of +1 and -1 (video)

powers of fractions (video)

powers of zero (video)

The Square Root

understanding square roots (video)

approximate square roots (video)

simplifying square roots (video)

simplifying radicals (video)

square roots and real numbers (video)

adding and simplifying radicals (video)

The Cube Root

finding cube roots (video)

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 exponents (video)

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)

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

place value (1) (video)

place value (2) (video)

place value (3) (video)

representing numbers (video)

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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