Arithmetic | 1 Big School (By Blue Brain)

Course Content

Addition and subtraction

Basic addition and subtraction
Basic addition
Basic subtraction
Addition and subtraction within 20
Adding 8 + 7
Subtracting 14 – 6
Strategies for adding and subtracting within 100
Adding 53+17 by making a group of 10
Adding by making a group of 10
Strategies for adding 2-digit numbers
Addition and subtraction with number lines
Addition within 100
Adding 2-digit numbers without regrouping 2
Adding with regrouping
Subtraction within 100
Subtracting 2-digit numbers without regrouping 1
Subtracting with regrouping (borrowing)
Multi-digit addition with regrouping
Using place value to add 3-digit numbers: part 2
Adding 3-digit numbers
Relate place value to standard algorithm for multi-digit addition
Adding multi-digit numbers: 48,029+233,930
Three digit addition word problems
Multi-digit subtraction with regrouping
Methods for subtracting 3-digit numbers
Relate place value to standard algorithm for multi-digit subtraction
Worked example: Subtracting 3-digit numbers (regrouping)
Worked example: Subtracting 3-digit numbers (regrouping twice)
Worked example: Subtracting 3-digit numbers (regrouping from 0)
Subtracting in your head (no regrouping)
Multi-digit subtraction: 389,002-76,151
Subtraction by breaking apart
Missing number for 3-digit subtraction within 1000
Three digit subtraction word problems

Multiplication and division

Multiplication intro
Introduction to multiplication
Equal groups
Multiplication as equal groups
Multiplication as repeated addition
Multiplication on the number line
Multiplication with arrays
More ways to multiply
Multiplication by 10s, 100s, and 1000s
Multiplying 1-digit numbers by multiples of 10, 100, and 1000
Multiplying by multiples of 10
Multiplying 10s
Multiplying 1-digit numbers by 10, 100, and 1000
Multiplying and dividing by 10, 100, 1000
Multiplication: place value and area models
Using area model and properties to multiply
Multiplying with distributive property
Multiplying with area model: 6 x 7981
Multiplying with area model: 78 x 65
Relate multiplication with area models to the standard algorithm
Multi-digit multiplication
Multiplying 2-digit by 1-digit
Multiplying 3-digit by 1-digit
Multiplying 3-digit by 1-digit (regrouping)
Multiplying 4-digit by 1-digit (regrouping)
Multiplying 2-digit numbers
Multiplying multi-digit numbers
Division intro
The idea of division
Visualizing division with arrays
Division in context
Division: place value and area
Division using place value
Division with area models
Multi-digit division (no remainders)
Intro to long division (no remainders)
Long division: 280÷5
Introduction to dividing by 2-digits
Remainders
Intro to remainders
Long division with remainders: 3771÷8
Multi-digit division (remainders)
Dividing by 2-digits: 9815÷65
Multiplication and division word problems
Multiplication in real world contexts
Multiplication word problem: pizza
Division word problem: field goals
Intro to negative numbers
Intro to negative numbers

Negative numbers

Order negative numbers
Ordering negative numbers
Number opposites
Number opposites
Negative symbol as opposite
Absolute value
Absolute value examples
Comparing absolute values
Placing absolute values on the number line
Absolute value as distance between numbers
Intro to adding negative numbers
Adding negative numbers example
Adding numbers with different signs
Intro to subtracting negative numbers
Adding & subtracting negative numbers
Subtracting a negative = adding a positive
Adding & subtracting negative numbers
Adding numbers with different signs
Multiplying & dividing negative numbers
Why a negative times a negative is a positive
Why a negative times a negative makes sense
Multiplying positive & negative numbers
Dividing positive & negative numbers
Intro to fractions
Cutting shapes into equal parts
Identifying unit fractions word problem
Recognize fractions
Recognizing fractions greater than 1
Identifying numerators and denominators
Fractions intro
Fractions on a number line
Fractions on number line widget
Fractions on the number line

Fractions

Equivalent fractions
Visualizing equivalent fractions
Equivalent fraction models
More on equivalent fractions
Equivalent fractions
Comparing fractions with > and < symbols
Comparing fractions with like numerators and denominators
Comparing fractions
Comparing fractions 2 (unlike denominators)
Comparing and ordering fractions
Ordering fractions
Comparing fractions
Finding common denominators
Common denominators: 3/5 and 7/2
Common denominators
Decomposing a fraction visually
Decomposing a mixed number
Decomposing fractions
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding mixed numbers with like denominators
Subtracting mixed numbers with like denominators
Adding and subtracting fractions with like denominators
Writing mixed numbers as improper fractions
Writing improper fractions as mixed numbers
Comparing improper fractions and mixed numbers
Mixed numbers
Visually adding fractions: 5/6+1/4
Visually subtracting fractions: 3/4-5/8
Adding fractions with unlike denominators
Subtracting fractions with unlike denominators
Adding and subtracting fractions with unlike denominators
Adding mixed numbers: 19 3/18 + 18 2/3
Subtracting mixed numbers: 7 6/9 – 3 2/5
Adding mixed numbers with regrouping
Subtracting mixed numbers with regrouping (unlike denominators)
Adding and subtracting mixed number with unlike denominators
Adding fractions word problem: paint
Subtracting fractions word problem: tomatoes
Adding and subtracting fractions word problems
Multiplying fractions and whole numbers visually
Equivalent fraction and whole number multiplication problems
Multiplying whole numbers and fractions
Multiplication as scaling with fractions
Multiplication as scaling
Intro to multiplying 2 fractions
Multiplying 2 fractions: fraction model
Multiplying 2 fractions: number line
Multiplying 2 fractions: 5/6 x 2/3
Multiplying fractions
Multiplying mixed numbers
Multiplying mixed numbers
Multiplying fractions word problem: muffins
Multiplying fractions word problem: laundry
Multiplying fractions word problems
Understanding fractions as division
Creating a fraction through division
Fractions as division
Dividing a unit fraction by a whole number
Dividing a whole number by a unit fraction
Dividing unit fractions and whole numbers
Understanding division of fractions
Dividing fractions: 2/5 ÷ 7/3
Dividing fractions by fractions
Dividing fractions word problems
Dividing whole numbers & fractions: t-shirts
Intro to decimals
Decimal place value
Relating decimals and fractions in words
Decimals as words
Write decimal in expanded form
Writing decimal numbers shown in grids
Writing decimals and fractions greater than 1 shown on grids
Place value with decimals
Visual understanding of regrouping decimals
Expressing decimals in multiple forms
Graphing hundredths from 0 to 0.1
Identifying hundredths on a number line
Thousandths on the number line
Writing decimals and fractions shown on number lines
Decimals on the number line
Graphing tenths from 0 to 1
Identifying tenths on a number line
Plotting decimal numbers on a number line
Worked example: Rounding decimals to nearest tenth
Rounding decimals on the number line
Rounding decimals

Decimals

Comparing decimals 2
Comparing decimals 3
Comparing decimals: 9.97 and 9.798
Comparing decimals: 156.378 and 156.348
Comparing decimals in different representations
Ordering decimals 1
Ordering decimals 2
Ordering decimals
Ordering decimals through thousandths
Comparing decimals
Writing a number as a fraction and decimal
Rewriting decimals as fractions: 0.15
Rewriting decimals as fractions: 0.8
Fraction to decimal: 11/25
Worked example: Converting a fraction (7/8) to a decimal
Converting decimals to fractions 2 (ex 1)
Converting decimals to fractions 2 (ex 2)
Rewriting decimals as fractions
Introduction to adding decimals: tenths
Adding decimals with hundredths
Adding decimals: 9.087+15.31
Adding three decimals
Adding decimals
Strategies for subtracting more complex decimals with tenths
More advanced subtraction strategies with hundredths
Subtracting decimals: 39.1 – 0.794
Subtracting decimals
Adding decimals word problem
Adding & subtracting decimals word problem
Adding and subtracting decimals word problems
Intro to multiplying decimals
Developing strategies for multiplying decimals
Multiplying decimals: place value
Multiplying challenging decimals
Multiplying decimals
Dividing decimals
Dividing whole numbers to get a decimal
Division strategies for decimal quotients
Multiplying and dividing decimals by 10
Multi-digit division strategies for decimals
Strategies for dividing by tenths
Dividing decimals completely
Dividing decimals with hundredths
Long division with decimals
Dividing by a multi-digit decimal
Multiplying and dividing decimals by 10, 100, 1000

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Course Content

Addition and subtraction

Basic addition and subtraction

Basic addition

Basic subtraction

Addition and subtraction within 20

Adding 8 + 7

Subtracting 14 – 6

Strategies for adding and subtracting within 100

Adding 53+17 by making a group of 10

Adding by making a group of 10

Strategies for adding 2-digit numbers

Addition and subtraction with number lines

Addition within 100

Adding 2-digit numbers without regrouping 2

Adding with regrouping

Subtraction within 100

Subtracting 2-digit numbers without regrouping 1

Subtracting with regrouping (borrowing)

Multi-digit addition with regrouping

Using place value to add 3-digit numbers: part 2

Adding 3-digit numbers

Relate place value to standard algorithm for multi-digit addition

Adding multi-digit numbers: 48,029+233,930

Three digit addition word problems

Multi-digit subtraction with regrouping

Methods for subtracting 3-digit numbers

Relate place value to standard algorithm for multi-digit subtraction

Worked example: Subtracting 3-digit numbers (regrouping)

Worked example: Subtracting 3-digit numbers (regrouping twice)

Worked example: Subtracting 3-digit numbers (regrouping from 0)

Subtracting in your head (no regrouping)

Multi-digit subtraction: 389,002-76,151

Subtraction by breaking apart

Missing number for 3-digit subtraction within 1000

Three digit subtraction word problems

Multiplication and division

Multiplication intro

Introduction to multiplication

Equal groups

Multiplication as equal groups

Multiplication as repeated addition

Multiplication on the number line

Multiplication with arrays

More ways to multiply

Multiplication by 10s, 100s, and 1000s

Multiplying 1-digit numbers by multiples of 10, 100, and 1000

Multiplying by multiples of 10

Multiplying 10s

Multiplying 1-digit numbers by 10, 100, and 1000

Multiplying and dividing by 10, 100, 1000

Multiplication: place value and area models

Using area model and properties to multiply

Multiplying with distributive property

Multiplying with area model: 6 x 7981

Multiplying with area model: 78 x 65

Relate multiplication with area models to the standard algorithm

Multi-digit multiplication

Multiplying 2-digit by 1-digit

Multiplying 3-digit by 1-digit

Multiplying 3-digit by 1-digit (regrouping)

Multiplying 4-digit by 1-digit (regrouping)

Multiplying 2-digit numbers

Multiplying multi-digit numbers

Division intro

The idea of division

Visualizing division with arrays

Division in context

Division: place value and area

Division using place value

Division with area models

Multi-digit division (no remainders)

Intro to long division (no remainders)

Long division: 280÷5

Introduction to dividing by 2-digits

Remainders

Intro to remainders

Long division with remainders: 3771÷8

Multi-digit division (remainders)

Dividing by 2-digits: 9815÷65