{
 "source": "https://peabody.kids/flashcards/math-word-problem-keywords",
 "id": "math-word-problem-keywords",
 "title": "Word Problem Keywords",
 "category": "math",
 "subject": "Math",
 "levels": [
  "k-2",
  "3-5",
  "6-8"
 ],
 "description": "Phrases in word problems and the operation or symbol they usually suggest. Always read the whole problem, since keywords are clues and not rules.",
 "tags": [
  "word problems",
  "operations"
 ],
 "frontLabel": "Phrase",
 "backLabel": "Usually means",
 "cards": [
  [
   "In all",
   "Add"
  ],
  [
   "Altogether",
   "Add"
  ],
  [
   "Total",
   "Add"
  ],
  [
   "Sum",
   "Add"
  ],
  [
   "Combined",
   "Add"
  ],
  [
   "Plus",
   "Add"
  ],
  [
   "More than",
   "Add (but 'A is 3 more than B' means A = B + 3)"
  ],
  [
   "Increased by",
   "Add"
  ],
  [
   "Gained",
   "Add"
  ],
  [
   "Both",
   "Add the two amounts"
  ],
  [
   "How many are left",
   "Subtract"
  ],
  [
   "Remain",
   "Subtract"
  ],
  [
   "Difference",
   "Subtract"
  ],
  [
   "Fewer than",
   "Subtract"
  ],
  [
   "Less than",
   "Subtract (order is flipped: '5 less than 9' is 9 − 5)"
  ],
  [
   "Decreased by",
   "Subtract"
  ],
  [
   "Take away",
   "Subtract"
  ],
  [
   "How many more",
   "Subtract to compare two amounts"
  ],
  [
   "Lost",
   "Subtract"
  ],
  [
   "Gave away",
   "Subtract"
  ],
  [
   "Minus",
   "Subtract"
  ],
  [
   "Times",
   "Multiply"
  ],
  [
   "Product",
   "Multiply"
  ],
  [
   "Of (with a fraction or percent)",
   "Multiply",
   "1/2 of 10 is 1/2 × 10"
  ],
  [
   "Each (with a total needed)",
   "Multiply"
  ],
  [
   "Every",
   "Multiply or divide, depending on the question"
  ],
  [
   "Twice",
   "Multiply by 2"
  ],
  [
   "Double",
   "Multiply by 2"
  ],
  [
   "Triple",
   "Multiply by 3"
  ],
  [
   "Per",
   "Multiply or divide; it marks a rate",
   "Miles per hour"
  ],
  [
   "At this rate",
   "Multiply a rate by an amount"
  ],
  [
   "Groups of",
   "Multiply"
  ],
  [
   "Rows of",
   "Multiply"
  ],
  [
   "Quotient",
   "Divide"
  ],
  [
   "Divided equally",
   "Divide"
  ],
  [
   "Shared equally",
   "Divide"
  ],
  [
   "Split among",
   "Divide"
  ],
  [
   "Half of",
   "Divide by 2"
  ],
  [
   "Average",
   "Add the values, then divide by how many"
  ],
  [
   "Per person",
   "Divide the total by the number of people"
  ],
  [
   "How many in each group",
   "Divide"
  ],
  [
   "How many groups",
   "Divide"
  ],
  [
   "Ratio of",
   "Compare using division or a fraction"
  ],
  [
   "Percent of",
   "Convert to a decimal and multiply"
  ],
  [
   "Is (as an equals sign)",
   "="
  ],
  [
   "What is",
   "The unknown value, a variable"
  ],
  [
   "At most",
   "≤"
  ],
  [
   "At least",
   "≥"
  ],
  [
   "No more than",
   "≤"
  ],
  [
   "No less than",
   "≥"
  ],
  [
   "More than (inequality)",
   ">"
  ],
  [
   "Fewer than (inequality)",
   "<"
  ],
  [
   "Is the same as",
   "="
  ],
  [
   "Consecutive numbers",
   "Numbers in order with no gaps, such as n, n + 1, n + 2"
  ],
  [
   "Consecutive even numbers",
   "n, n + 2, n + 4"
  ],
  [
   "Perimeter",
   "Add the lengths of all the sides"
  ],
  [
   "Area",
   "Multiply (for a rectangle, length times width)"
  ],
  [
   "Step 1 of solving a word problem",
   "Read it and decide what the question asks"
  ],
  [
   "Step 2 of solving a word problem",
   "Pick out the numbers and units you need"
  ],
  [
   "Step 3 of solving a word problem",
   "Choose the operation and write an equation"
  ],
  [
   "Step 4 of solving a word problem",
   "Solve it, then check that the answer makes sense and has the right units"
  ],
  [
   "Extra information",
   "A number in a problem you do not need"
  ],
  [
   "Multi-step problem",
   "A problem needing two or more operations"
  ]
 ]
}