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

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

In this Grade 4 Saxon Math lesson, students learn to identify and name fractions by understanding the roles of the numerator and denominator, including special terms like "half" and "quarter." Students also practice adding dollars and cents by aligning decimal points and regrouping, and apply compatible numbers to estimate money totals. The lesson connects fraction concepts to real-world money, such as recognizing that a dime equals one tenth of a dollar.

Section 1

📘 Naming Fractions, Adding Dollars and Cents

New Concept

Part of a whole can be named with a fraction. A fraction is written with two numbers.

What’s next

Next, you’ll practice naming and comparing fractions and apply this concept to understand parts of a dollar.

Section 2

Naming Fractions

Property

A fraction has a numerator (top number) showing parts counted and a denominator (bottom number) showing total equal parts. We name the numerator first, then the denominator using an ordinal number, like 'three fifths' for 35\frac{3}{5}.

Examples

A dime is 110\frac{1}{10} of a dollar because ten dimes make one whole dollar. Three quarters are 34\frac{3}{4} of a dollar, since four quarters make a whole dollar. If a circle has eight equal parts and seven are shaded, the fraction is 78\frac{7}{8}.

Explanation

Think of a pizza! The denominator is how many total slices exist, and the numerator is how many you get. Using ordinals like 'fourth' or 'eighth' sounds official. Remember, 'half' (for 2) and 'quarter' (for 4) are special nicknames we use instead of 'second' or 'fourth' to sound extra smart!

Section 3

Adding Dollars and Cents

Property

To add money, treat it like whole numbers but always align the decimal points to separate dollars from cents. The dollar sign and decimal point must be included in the final sum.

Examples

To add 3.75 dollars and 2.75 dollars, align the decimals: 3.75+2.75=6.503.75 + 2.75 = 6.50. Combining 3.65 dollars and 4.28 dollars works the same way: 3.65+4.28=7.933.65 + 4.28 = 7.93. Two identical items at 2.75 dollars each would total: 2.75+2.75=5.502.75 + 2.75 = 5.50.

Explanation

Adding money is like stacking blocks, with one golden rule: line up the decimal points! This ensures dollars add to dollars and cents to cents. If your cents pile up to 100, they level up and become a brand new dollar to carry over. Don't forget to write the dollar sign—it's the VIP pass!

Section 4

Compatible numbers

Property

Compatible numbers are numbers that are easy to work with mentally, like money amounts ending in 25, 50, and 75 cents. They are used to estimate an approximate value quickly.

Examples

To estimate 3.27 dollars plus 4.49 dollars, use friendlier numbers: 3.25+4.503.25 + 4.50 is about 7.757.75. For two notebooks at 1.49 dollars each, think of it as 1.50+1.501.50 + 1.50, which is about 3.003.00. To estimate 1.26 dollars plus 3.73 dollars, use 1.25+3.751.25 + 3.75 for an easy 5.005.00.

Explanation

Compatible numbers are your brain's best friends for quick math! Instead of fighting with messy numbers like 3.27 dollars, you can swap them for nearby, friendly numbers like 3.25 dollars. It’s all about estimating to find an answer that's 'close enough' without a calculator. Perfect for seeing if you have enough cash for snacks!

Book overview

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Chapter 3: Lessons 21–30, Investigation 3

  1. Lesson 1

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

  2. Lesson 2Current

    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 5

    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

📘 Naming Fractions, Adding Dollars and Cents

New Concept

Part of a whole can be named with a fraction. A fraction is written with two numbers.

What’s next

Next, you’ll practice naming and comparing fractions and apply this concept to understand parts of a dollar.

Section 2

Naming Fractions

Property

A fraction has a numerator (top number) showing parts counted and a denominator (bottom number) showing total equal parts. We name the numerator first, then the denominator using an ordinal number, like 'three fifths' for 35\frac{3}{5}.

Examples

A dime is 110\frac{1}{10} of a dollar because ten dimes make one whole dollar. Three quarters are 34\frac{3}{4} of a dollar, since four quarters make a whole dollar. If a circle has eight equal parts and seven are shaded, the fraction is 78\frac{7}{8}.

Explanation

Think of a pizza! The denominator is how many total slices exist, and the numerator is how many you get. Using ordinals like 'fourth' or 'eighth' sounds official. Remember, 'half' (for 2) and 'quarter' (for 4) are special nicknames we use instead of 'second' or 'fourth' to sound extra smart!

Section 3

Adding Dollars and Cents

Property

To add money, treat it like whole numbers but always align the decimal points to separate dollars from cents. The dollar sign and decimal point must be included in the final sum.

Examples

To add 3.75 dollars and 2.75 dollars, align the decimals: 3.75+2.75=6.503.75 + 2.75 = 6.50. Combining 3.65 dollars and 4.28 dollars works the same way: 3.65+4.28=7.933.65 + 4.28 = 7.93. Two identical items at 2.75 dollars each would total: 2.75+2.75=5.502.75 + 2.75 = 5.50.

Explanation

Adding money is like stacking blocks, with one golden rule: line up the decimal points! This ensures dollars add to dollars and cents to cents. If your cents pile up to 100, they level up and become a brand new dollar to carry over. Don't forget to write the dollar sign—it's the VIP pass!

Section 4

Compatible numbers

Property

Compatible numbers are numbers that are easy to work with mentally, like money amounts ending in 25, 50, and 75 cents. They are used to estimate an approximate value quickly.

Examples

To estimate 3.27 dollars plus 4.49 dollars, use friendlier numbers: 3.25+4.503.25 + 4.50 is about 7.757.75. For two notebooks at 1.49 dollars each, think of it as 1.50+1.501.50 + 1.50, which is about 3.003.00. To estimate 1.26 dollars plus 3.73 dollars, use 1.25+3.751.25 + 3.75 for an easy 5.005.00.

Explanation

Compatible numbers are your brain's best friends for quick math! Instead of fighting with messy numbers like 3.27 dollars, you can swap them for nearby, friendly numbers like 3.25 dollars. It’s all about estimating to find an answer that's 'close enough' without a calculator. Perfect for seeing if you have enough cash for snacks!

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 2Current

    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 5

    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