This week
Lessons 51, 52, 53, 54, & 55
STILLWATER CROSSING · THE COURSE NOTES · BRIDGE MATH 5/6
Week 11 · Borrowing with Fractions
Papers
Quiz 5 in class · Last test graded and signed at home
Method
No calculators, ever · show every step
Note-Taking Tip: Reflecting on your notes and rewriting them in your own words builds deeper understanding. At the end of your notes, you will begin seeing a new section to help you do this.
Instructional notes
Borrowing When the Minuend is One
When subtracting a fraction from the whole number 1: • Rewrite the whole number as a fraction with a common denominator • Subtract
Example
Solve.
- = - = 5 5 5 12 12 12
Practice
Solve.
5 3 2 3 1- = 1- = 8 8 5 5
Instructional notes
Borrowing When the Minuend is Not One
When subtracting a fraction from a whole number other than one:
1. Borrow 1 from the whole number 2. Rewrite the borrowed 1 as a fraction with a common denominator 3. Add the borrowed fraction to the fraction in the minuend. You will end up with an improper fraction 4. Subtract 5. Simplify if needed
Example
Solve.
Practice
Solve. 1 5 7 4 3 1 5 2 _ - -2
4 8 3 3 3 2 4 6 1 4 8 3
Instructional notes
Elapsed Time
To find how much time has passed or elapsed, we subtract.
If the minutes cannot be subtracted: • Borrow 1 hour from the minuend • Add 60 minutes to the minuend’s minutes • Subtract
Example
Write the elapsed time.
Practice
Write the elapsed time.
Kent left for his aunt’s house at 9:35 on Saturday morning. He arrived at 12:17. How long did it take Kent to travel to his aunt’s house?
2:42 or 2 hours and 42 minutes
Instructional notes
Borrowing with Different Denominators
To borrow when the denominators are different:
• Find a common denominator for the fractions • Change to equivalent fractions with the common denominator • Borrow 1 from the whole number in the minuend • Write as an improper fraction • Add the borrowed fraction to the existing fractional part • Subtract • Simplify if needed
EXAMPLE PROBLEM
Solve.
Practice
Solve.
✍ In your own words
When we borrow is the value changed? Explain your answer. Suggested Answer: No, the value does not change when we borrow. Only the form has changed. It is like exchanging a dollar for ten dimes.
Homework this week
| Work-text | Lesson 51 | Lesson 52 | Lesson 53 | Lesson 54 | Lesson 55 |
|---|---|---|---|---|---|
| Speed drill | 51 | 52 | 53 | 55 |
Terms on the record
| Term | Meaning |
|---|---|
| elapsed time | To find how much time has passed or elapsed, we subtract. |
STILLWATER CROSSING // BRIDGE MATH // PENUMBRA · steady on