Learn on PengiSaxon Math, Intermediate 4Chapter 2: Lessons 11–20, Investigation 2

Lesson 11: Addition Word Problems with Missing Addends

In this Grade 4 Saxon Math lesson from Chapter 2, students learn to solve addition word problems with missing addends using the "some and some more" and "part plus part equals whole" formulas. Students practice identifying the problem type, writing equations with a variable to represent the unknown addend, and using subtraction to find the missing number. The lesson builds skills in translating real-world scenarios into number sentences and checking whether answers are reasonable.

Section 1

📘 Addition Word Problems with Missing Addends

New Concept

We can represent addition problems about parts adding up to a whole with this formula:

Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

What’s next

Next, you'll apply this formula to various scenarios, translating stories into equations to find the missing part.

Section 2

Missing Addend Word Problems

Property

Some+Some more=Total \text{Some} + \text{Some more} = \text{Total}
Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

Examples

Jamie picked some apples, then picked 5 more to have 12 total. How many at first?
n+5=12n + 5 = 12, so n=125=7n = 12 - 5 = 7 apples.
A class has 25 students, 12 of whom are girls. How many are boys?
12+b=2512 + b = 25, so b=2512=13b = 25 - 12 = 13 boys.

Explanation

When a story gives you the total but hides one of the parts, you can solve the mystery! Set up an addition equation with a variable for the missing number, then subtract the part you know from the total to find your answer.

Section 3

Part-Part-Whole Problems

Property

Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

Examples

A 24-hour day has 10 hours of light. How many hours of dark?
10+d=2410 + d = 24, so d=14d = 14 hours.
A team of 30 players has 18 on the field. How many are on the bench?
18+p=3018 + p = 30, so p=12p = 12.

Explanation

Think of a whole group made of two parts. If you know the size of the whole group and one part, you can easily find the other part by subtracting.

Section 4

Some and Some More Problems

Property

Some+Some more=Total \text{Some} + \text{Some more} = \text{Total}

Examples

Walter had 8 marbles and now has 17. How many more did he get?
8+m=178 + m = 17, so m=9m = 9.
Tamira read 6 pages, then more, totaling 13. How many more pages?
6+p=136 + p = 13, so p=7p = 7.

Explanation

This is for stories where an amount grows. You start with 'some,' get 'some more,' and end with a total. To find the missing amount, just subtract what you started with!

Book overview

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

Continue this chapter

Chapter 2: Lessons 11–20, Investigation 2

  1. Lesson 1Current

    Lesson 11: Addition Word Problems with Missing Addends

  2. Lesson 2

    Lesson 12: Missing Numbers in Subtraction

  3. Lesson 3

    Lesson 13: Adding Three-Digit Numbers, Activity Adding Money

  4. Lesson 4

    Lesson 14: Subtracting Two-Digit and Three-Digit Numbers, Missing Two-Digit Addends

  5. Lesson 5

    Lesson 15: Subtracting Two-Digit Numbers with Regrouping, Activity Subtracting Money

  6. Lesson 6

    Lesson 16: Expanded Form, More on Missing Numbers in Subtraction

  7. Lesson 7

    Lesson 17: Adding Columns of Numbers with Regrouping

  8. Lesson 8

    Lesson 18: Temperature, Activity Measuring Temperature

  9. Lesson 9

    Lesson 19: Elapsed Time Problems, Activity Finding Elapsed Time

  10. Lesson 10

    Lesson 20: Rounding

  11. Lesson 11

    Investigation 2: Units of Length and Perimeter, Activity Estimating the Perimeter

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Addition Word Problems with Missing Addends

New Concept

We can represent addition problems about parts adding up to a whole with this formula:

Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

What’s next

Next, you'll apply this formula to various scenarios, translating stories into equations to find the missing part.

Section 2

Missing Addend Word Problems

Property

Some+Some more=Total \text{Some} + \text{Some more} = \text{Total}
Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

Examples

Jamie picked some apples, then picked 5 more to have 12 total. How many at first?
n+5=12n + 5 = 12, so n=125=7n = 12 - 5 = 7 apples.
A class has 25 students, 12 of whom are girls. How many are boys?
12+b=2512 + b = 25, so b=2512=13b = 25 - 12 = 13 boys.

Explanation

When a story gives you the total but hides one of the parts, you can solve the mystery! Set up an addition equation with a variable for the missing number, then subtract the part you know from the total to find your answer.

Section 3

Part-Part-Whole Problems

Property

Part+Part=Whole \text{Part} + \text{Part} = \text{Whole}

Examples

A 24-hour day has 10 hours of light. How many hours of dark?
10+d=2410 + d = 24, so d=14d = 14 hours.
A team of 30 players has 18 on the field. How many are on the bench?
18+p=3018 + p = 30, so p=12p = 12.

Explanation

Think of a whole group made of two parts. If you know the size of the whole group and one part, you can easily find the other part by subtracting.

Section 4

Some and Some More Problems

Property

Some+Some more=Total \text{Some} + \text{Some more} = \text{Total}

Examples

Walter had 8 marbles and now has 17. How many more did he get?
8+m=178 + m = 17, so m=9m = 9.
Tamira read 6 pages, then more, totaling 13. How many more pages?
6+p=136 + p = 13, so p=7p = 7.

Explanation

This is for stories where an amount grows. You start with 'some,' get 'some more,' and end with a total. To find the missing amount, just subtract what you started with!

Book overview

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

Continue this chapter

Chapter 2: Lessons 11–20, Investigation 2

  1. Lesson 1Current

    Lesson 11: Addition Word Problems with Missing Addends

  2. Lesson 2

    Lesson 12: Missing Numbers in Subtraction

  3. Lesson 3

    Lesson 13: Adding Three-Digit Numbers, Activity Adding Money

  4. Lesson 4

    Lesson 14: Subtracting Two-Digit and Three-Digit Numbers, Missing Two-Digit Addends

  5. Lesson 5

    Lesson 15: Subtracting Two-Digit Numbers with Regrouping, Activity Subtracting Money

  6. Lesson 6

    Lesson 16: Expanded Form, More on Missing Numbers in Subtraction

  7. Lesson 7

    Lesson 17: Adding Columns of Numbers with Regrouping

  8. Lesson 8

    Lesson 18: Temperature, Activity Measuring Temperature

  9. Lesson 9

    Lesson 19: Elapsed Time Problems, Activity Finding Elapsed Time

  10. Lesson 10

    Lesson 20: Rounding

  11. Lesson 11

    Investigation 2: Units of Length and Perimeter, Activity Estimating the Perimeter