Addition: Combining two or more groups to find the total amount
- Identify the starting amount (3 apples)
- Identify what is added (4 apples)
- Add the numbers together
Sarah starts with 3 apples, then gets 4 more apples
We have 3 apples and 4 apples to combine
3 + 4 = ?
Counting: 3, 4, 5, 6, 7 (counting up 4 from 3)
Sarah has 7 apples altogether
Sarah has 7 apples now.
β’ Keywords: "more", "total", "altogether", "combined" indicate addition
β’ Visual counting: Use fingers or drawings to verify
β’ Always state the answer in context
Multiple additions: Adding more than two numbers together
Tom starts with 5 cars, gets 2 more, then 3 more
5 + 2 + 3 = ?
First: 5 + 2 = 7, then: 7 + 3 = 10
Count: 5, 6, 7, 8, 9, 10
Tom has 10 cars altogether
Tom has 10 cars altogether.
β’ Multiple additions: Add numbers in any order
β’ Step by step: Add two numbers at a time
β’ Always check: Count to verify the answer
Total: Finding the sum of different groups combined
There are 6 red balloons and 4 blue balloons
6 red + 4 blue = ? total
6 + 4 = 10
Count all balloons: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
There are 10 balloons in total
There are 10 balloons in total.
β’ Combining groups: Different types can be added together
β’ Key words: "total", "altogether", "in all" mean addition
β’ Visual representation: Draw pictures to help understand
Addition: Combining two or more quantities to find the total
Sum: The result of adding numbers together
Addends: The numbers being added
- Counting all: Count all objects together
- Counting on: Start from one number and count up
- Using doubles: Know facts like 5+5=10 to solve 5+6=11
- Number line: Jump forward on a number line
β’ Order doesn't matter: 3 + 4 = 4 + 3
β’ Adding zero: Any number plus zero equals itself
β’ Counting on: Start with the larger number to make it easier
β’ Doubles: Numbers added to themselves (5+5, 6+6, etc.)
Start at 3, jump 4 spaces: 3β4β5β6β7
Sequential addition: Adding multiple amounts in sequence
Emma begins with 8 stickers
She finds 3 more, then gets 2 more
8 + 3 + 2 = ?
First: 8 + 3 = 11, then: 11 + 2 = 13
Count: 8, 9, 10, 11, 12, 13. Emma has 13 stickers.
Emma has 13 stickers now.
β’ Sequential operations: Handle additions in order
β’ Multiple additions: Group numbers that make tens
β’ Context matters: Always answer with units
Real-world addition: Applying math to everyday situations
There are 7 lions initially, then 5 more join
"More lions come out" indicates addition
7 + 5 = ?
7 + 5 = 12 (can think of 7 + 3 = 10, then 10 + 2 = 12)
There are 12 lions at the zoo now.
There are 12 lions at the zoo now.
β’ Real-world context: Math applies to real situations
β’ Problem-solving: Identify what's happening in the story
β’ Verification: Check if the answer makes sense
Word problem: A math problem presented in sentence form
Key words: Words that indicate mathematical operations
Number sentence: Writing the problem as an equation
- Read: Carefully read the entire problem
- Find: Identify what you need to find
- Circle: Circle important numbers
- Draw: Draw a picture or diagram
- Solve: Write the equation and solve
β’ Doubles: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10
β’ Plus one: 1+2=3, 2+3=5, 3+4=7, 4+5=9, 5+6=11
β’ Making ten: 1+9=10, 2+8=10, 3+7=10, 4+6=10, 5+5=10
β’ Commutative property: 3+4=4+3