Addition key words: Words that indicate addition is needed (more, total, altogether, in all)
- Look for words that suggest combining
- Identify words indicating increase
- Recognize total or sum indicators
"found 3 more shells" - "more" indicates addition
"in all" asks for the total amount
5 + 3 = 8
Tom has 8 shells in all
Tom has 8 shells in all
• Addition key words: "more," "total," "altogether," "in all," "sum"
• Combining: Words that suggest putting things together
• Increasing: Words that indicate growing amounts
Subtraction key words: Words that indicate subtraction is needed (left, take away, ate, gave away)
"ate 4 cookies" - "ate" means taking away
"have left" asks for what remains
12 - 4 = 8
Sarah has 8 cookies left
Sarah has 8 cookies left
• Subtraction key words: "left," "take away," "ate," "gave," "spent," "fewer"
• Taking away: Words that suggest removing or consuming
• Remaining: Words that ask for what is left
Part-part-whole key words: Words that indicate combining two parts to make a whole (altogether, combined, total)
There are 6 red apples
There are 5 green apples
"altogether" means to combine both parts
6 + 5 = 11
There are 11 apples altogether
• Part-part-whole key words: "altogether," "combined," "total," "in all"
• Combining parts: Words that suggest bringing two groups together
• Grouping: Identifying separate parts that make a whole
Key Words: Words that signal which mathematical operation to use
Signal Words: Words that indicate mathematical relationships
Clue Words: Words that provide hints about the solution method
- Scan the problem: Look for key words that indicate operations
- Identify the operation: Match words to addition or subtraction
- Confirm with context: Make sure the operation fits the situation
- Solve the problem: Use the identified operation
• Addition key words: more, total, altogether, sum, in all, combined, increased by, plus
• Subtraction key words: left, take away, ate, gave, spent, fewer, difference, decreased by
• Part-part-whole: altogether, combined, total, in all, both, sum
• Compare: more than, less than, difference, how many more, how many less
Compare key words: Words that indicate finding the difference between two amounts (more than, less than, difference)
"how many more" indicates finding the difference
Mike has 10, John has 7
10 - 7 = 3
Mike has 3 more toy cars than John
Mike has 3 more toy cars than John
• Compare key words: "how many more," "how many less," "difference," "than"
• Subtraction operation: Comparing amounts requires subtraction
• Difference finding: Words that ask for the gap between amounts
Mixed key words: Problems containing multiple key words that require different operations
"flew away" indicates subtraction (15 - 6)
"more...came" indicates addition (9 + 3)
15 - 6 = 9, then 9 + 3 = 12
There are 12 birds on the tree now
There are 12 birds on the tree now
• Mixed key words: Multiple operations may be needed
• Sequential operations: Solve in the order events occur
• Multi-step problems: Use previous result for next step
Key Words: Words that signal which mathematical operation to use
Signal Words: Words that indicate mathematical relationships
Clue Words: Words that provide hints about the solution method
- Read carefully: Understand the entire problem situation
- Scan for signals: Look for key words that indicate operations
- Match to operation: Connect words to addition or subtraction
- Consider context: Make sure the operation makes sense
- Solve systematically: Apply the identified operation
• Addition: more, total, altogether, sum, in all, combined, increased by, plus, added to
• Subtraction: left, take away, ate, gave, spent, fewer, difference, decreased by, less than, take from
• Part-part-whole: altogether, combined, total, in all, both, sum, together
• Compare: more than, less than, difference, how many more, how many less, greater than, fewer than
• Context always matters: Some words can have different meanings in different situations
Addition words: 45% of all key words
Subtraction words: 35% of all key words
Part-part-whole words: 15% of all key words
Compare words: 5% of all key words
Pattern Analysis: Key words follow predictable patterns that help identify mathematical operations.
- Addition words: Most common, indicate combining or increasing
- Subtraction words: Common, indicate taking away or decreasing
- Part-part-whole: Indicate combining two separate groups
- Compare words: Indicate finding differences between amounts