Learn on PengiSaxon Math, Intermediate 4Chapter 3: Lessons 21–30, Investigation 3

Lesson 25: Subtraction Word Problems

In Saxon Math Intermediate 4, Grade 4 students learn to identify and solve "some went away" subtraction word problems using the formula Some minus Some went away equals What is left. Students practice applying a four-step problem-solving process to write subtraction equations with a variable for the missing number, whether that missing number is the starting amount, the amount that went away, or the amount remaining. The lesson also reinforces the inverse relationship between addition and subtraction as a strategy for finding and checking unknown values.

Section 1

πŸ“˜ Subtraction Word Problems

New Concept

Formula: Some βˆ’- Some went away == What is left

What’s next

Next, you'll use this formula to write equations and find the missing piece in different subtraction scenarios.

Section 2

The Some Went Away Formula

Property

Some βˆ’ Some went away = What is left

Examples

  • LuAnn had 65 beads and used 13, so she has 65βˆ’13=5265 - 13 = 52 beads left.
  • Celia had 42 shells and 29 are left, so she sent 42βˆ’29=1342 - 29 = 13 shells away.

Explanation

This is your formula for any 'disappearing act' problem! It connects your starting amount, what went away, and what's left. Use it to find any missing piece by plugging in the two numbers you already know. It's your secret weapon for solving subtraction word problems.

Section 3

Finding The Starting Amount

Property

To find the starting amount, solve for the first number in the formula: pβˆ’a=lp - a = l.

Examples

  • Jaxon gave away 15 pencils and has 22 left. He started with 22+15=3722 + 15 = 37 pencils.
  • Tamika donated 42 books and has 26 left. She began with 42+26=6842 + 26 = 68 books.

Explanation

Forgot how much you started with? Easy fix! Just add the 'went away' amount back to what you have left to find the original total. It’s like reverse-engineering the disappearing act!

Section 4

Finding What Went Away

Property

To find the amount that 'went away', solve for the middle number: aβˆ’s=la - s = l.

Examples

  • Celia had 42 shells and ended with 29. She sent away 42βˆ’29=1342 - 29 = 13 shells.
  • Marko had 42 cards and now has 26. He mailed 42βˆ’26=1642 - 26 = 16 cards.

Explanation

To figure out how many items vanished, subtract what's left from your starting amount. The difference is the missing 'went away' number. It's a simple subtraction puzzle!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Lessons 21–30, Investigation 3

  1. Lesson 1

    Lesson 21: Triangles, Rectangles, Squares, and Circles, Activity Drawing a Circle

  2. Lesson 2

    Lesson 22: Naming Fractions, Adding Dollars and Cents, Activity Counting Money

  3. Lesson 3

    Lesson 23: Lines, Segments, Rays, and Angles, Activity Real-World Segments and Angles

  4. Lesson 4

    Lesson 24: Inverse Operations

  5. Lesson 5Current

    Lesson 25: Subtraction Word Problems

  6. Lesson 6

    Lesson 26: Drawing Pictures of Fractions

  7. Lesson 7

    Lesson 27: Multiplication as Repeated Addition, More Elapsed Time Problems, Activity Finding Time

  8. Lesson 8

    Lesson 28: Multiplication Table

  9. Lesson 9

    Lesson 29: Multiplication Facts: 0s, 1s, 2s, 5s

  10. Lesson 10

    Lesson 30: Subtracting Three-Digit Numbers with Regrouping, Activity Subtracting Money

  11. Lesson 11

    Investigation 3: Multiplication Patterns, Area, Squares and Square Roots, Activity 1 Finding Perimeter and Area, Activity 2 Estimating Perimeter and Area

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

πŸ“˜ Subtraction Word Problems

New Concept

Formula: Some βˆ’- Some went away == What is left

What’s next

Next, you'll use this formula to write equations and find the missing piece in different subtraction scenarios.

Section 2

The Some Went Away Formula

Property

Some βˆ’ Some went away = What is left

Examples

  • LuAnn had 65 beads and used 13, so she has 65βˆ’13=5265 - 13 = 52 beads left.
  • Celia had 42 shells and 29 are left, so she sent 42βˆ’29=1342 - 29 = 13 shells away.

Explanation

This is your formula for any 'disappearing act' problem! It connects your starting amount, what went away, and what's left. Use it to find any missing piece by plugging in the two numbers you already know. It's your secret weapon for solving subtraction word problems.

Section 3

Finding The Starting Amount

Property

To find the starting amount, solve for the first number in the formula: pβˆ’a=lp - a = l.

Examples

  • Jaxon gave away 15 pencils and has 22 left. He started with 22+15=3722 + 15 = 37 pencils.
  • Tamika donated 42 books and has 26 left. She began with 42+26=6842 + 26 = 68 books.

Explanation

Forgot how much you started with? Easy fix! Just add the 'went away' amount back to what you have left to find the original total. It’s like reverse-engineering the disappearing act!

Section 4

Finding What Went Away

Property

To find the amount that 'went away', solve for the middle number: aβˆ’s=la - s = l.

Examples

  • Celia had 42 shells and ended with 29. She sent away 42βˆ’29=1342 - 29 = 13 shells.
  • Marko had 42 cards and now has 26. He mailed 42βˆ’26=1642 - 26 = 16 cards.

Explanation

To figure out how many items vanished, subtract what's left from your starting amount. The difference is the missing 'went away' number. It's a simple subtraction puzzle!

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Lessons 21–30, Investigation 3

  1. Lesson 1

    Lesson 21: Triangles, Rectangles, Squares, and Circles, Activity Drawing a Circle

  2. Lesson 2

    Lesson 22: Naming Fractions, Adding Dollars and Cents, Activity Counting Money

  3. Lesson 3

    Lesson 23: Lines, Segments, Rays, and Angles, Activity Real-World Segments and Angles

  4. Lesson 4

    Lesson 24: Inverse Operations

  5. Lesson 5Current

    Lesson 25: Subtraction Word Problems

  6. Lesson 6

    Lesson 26: Drawing Pictures of Fractions

  7. Lesson 7

    Lesson 27: Multiplication as Repeated Addition, More Elapsed Time Problems, Activity Finding Time

  8. Lesson 8

    Lesson 28: Multiplication Table

  9. Lesson 9

    Lesson 29: Multiplication Facts: 0s, 1s, 2s, 5s

  10. Lesson 10

    Lesson 30: Subtracting Three-Digit Numbers with Regrouping, Activity Subtracting Money

  11. Lesson 11

    Investigation 3: Multiplication Patterns, Area, Squares and Square Roots, Activity 1 Finding Perimeter and Area, Activity 2 Estimating Perimeter and Area