Elementary Math: Addition Facts

Study Notes

Number sense: understanding that numbers can be combined to make a total or a whole
Basic addition: combining two or more numbers to get a total or a sum
Addition facts: basic number combinations that are memorized to solve simple addition problems quickly
- Examples: 2+2=4, 5+1=6, 8+0=8
Number lines: a visual representation of numbers to help students understand relationships between numbers
Counting on: starting with a number and counting on to find the total
- Example: 3+2=? Start with 3, count on 2 more: 4, 5

Repetition and patterns: understanding that multiplication is repeated addition
Basic multiplication: combining a number a certain number of times to get a product
Multiplication tables: memorized charts of multiplication facts for quick recall
- Examples: 2 x 3 = 6, 5 x 4 = 20
Arrays: visual representations of objects arranged in rows and columns to represent multiplication
Real-world applications: using multiplication to solve everyday problems (e.g., arranging blocks, seating at a table)

Number sense: understanding that numbers can be taken away to get a difference
Basic subtraction: finding the difference between two numbers
Counting back: starting with a number and counting back to find the difference
- Example: 8-3=? Start with 8, count back 3: 7, 6, 5
Number lines: a visual representation of numbers to help students understand relationships between numbers
Real-world applications: using subtraction to solve everyday problems (e.g., subtracting blocks, finding the difference in height)

Number sense is essential to understand that numbers can be combined to make a total or a whole.
Basic addition involves combining two or more numbers to get a total or a sum.
Addition facts are basic number combinations that are memorized to solve simple addition problems quickly, such as 2+2=4, 5+1=6, and 8+0=8.
Number lines provide a visual representation of numbers, helping students understand relationships between numbers.
Counting on is a strategy that starts with a number and counts on to find the total, such as 3+2=? Start with 3, count on 2 more: 4, 5.

Repetition and patterns are crucial to understand that multiplication is repeated addition.
Basic multiplication involves combining a number a certain number of times to get a product.
Multiplication tables are memorized charts of multiplication facts for quick recall, such as 2 x 3 = 6 and 5 x 4 = 20.
Arrays provide visual representations of objects arranged in rows and columns to represent multiplication.
Real-world applications involve using multiplication to solve everyday problems, such as arranging blocks or seating at a table.

Number sense is essential to understand that numbers can be taken away to get a difference.
Basic subtraction involves finding the difference between two numbers.
Counting back is a strategy that starts with a number and counts back to find the difference, such as 8-3=? Start with 8, count back 3: 7, 6, 5.
Number lines provide a visual representation of numbers, helping students understand relationships between numbers.
Real-world applications involve using subtraction to solve everyday problems, such as subtracting blocks or finding the difference in height.