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M.3 Subtraction up to 10: word problems

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Understanding Subtraction in Stories

Subtraction is finding out how many are left when some are taken away. In a story problem, students look for the starting number, the part that is removed, and the number that remains. This skill helps connect real-life events to math thinking.

Example Problems:
  • 8 apples were on the counter. 3 were eaten. How many are left? β†’ 5
  • 6 ducks were swimming. 2 swam away. How many are still in the pond? β†’ 4
  • 5 balloons were floating. All 5 popped. How many are left? β†’ 0
Helpful Reminder

Listen for action words like β€œleft,” β€œgave away,” β€œpopped,” or β€œflew away.” These are strong clues that subtraction is needed.

Modeling with Real Objects

Using objects such as counters, blocks, or small toys can make subtraction easier to see and understand. Students can act out the problem by starting with a group, removing some, and counting what is left.

Hands-On Examples:
  • Begin with 7 blocks. Remove 2 to match the story β€œ7 blocks, 2 taken.” Count the blocks left: 5.
  • Place 4 toy cars on a table. Take away 1 to match β€œ4 cars, 1 drove away.” Count the cars left: 3.
  • Set out 3 cookies. Eat all 3. Count what remains: 0.
Teaching Tip

Moving objects by hand helps students connect the action in the story to the subtraction they write down.

Drawing to Show Subtraction

Drawing simple pictures helps students see subtraction without needing real objects. They can cross out the items that are removed and count the ones that remain.

Drawing Examples:
  • Draw 9 balloons. Cross out 4 for β€œ4 floated away.” Count what is left: 5.
  • Draw 5 apples. Cross out 2 for β€œ2 were eaten.” Count what is left: 3.
  • Draw 6 fish. Cross out all 6 for β€œall swam away.” Count what is left: 0.
Helpful Strategy

Keep pictures quick and simple so the focus is on counting, not detailed artwork.

Using Number Lines

Number lines are a visual way to count backward. Start at the first number, then hop back the number of times being subtracted to find the answer.

Number Line Examples:
  • 8 βˆ’ 3 β†’ Start at 8, hop back 3: 8 β†’ 7 β†’ 6 β†’ 5. Answer: 5.
  • 6 βˆ’ 1 β†’ Start at 6, hop back 1: 6 β†’ 5. Answer: 5.
  • 4 βˆ’ 4 β†’ Start at 4, hop back 4: 4 β†’ 3 β†’ 2 β†’ 1 β†’ 0. Answer: 0.
Classroom Tip

Use a large floor number line or a whiteboard number line so students can physically hop backward and see the subtraction process.

Checking Subtraction with Addition

Students can check their answers by adding the number taken away to the number left. This sum should match the starting number in the problem.

Checking Examples:
  • Story: 9 apples, 5 eaten, 4 remain. Check: 4 + 5 = 9 βœ“
  • Story: 6 pencils, 2 lost, 4 remain. Check: 4 + 2 = 6 βœ“
  • Story: 7 birds, all 7 flew away, 0 remain. Check: 0 + 7 = 7 βœ“
Helpful Reminder

Checking answers with addition helps students see how subtraction and addition work together.

Solving Multi-Step Story Problems

Sometimes a story has two subtraction steps. Students solve the first subtraction, then use that answer to solve the second. This helps build flexible problem-solving skills.

Multi-Step Examples:
  • 10 balloons, 3 popped, 7 left. Then 2 more popped. How many remain? First: 10 βˆ’ 3 = 7, then 7 βˆ’ 2 = 5.
  • 8 cookies, 2 eaten, 6 left. Then 4 eaten. 6 βˆ’ 4 = 2.
  • 7 frogs, 1 jumped away, 6 left. Then all 6 jumped. 6 βˆ’ 6 = 0.
Challenge Tip

Encourage students to write each subtraction step separately so they can track their thinking clearly.