STILLWATER CROSSING · THE COURSE NOTES · BRIDGE MATH 5/6

Week 32 · Temperature and Formulas

This week

Lessons 151, 152, 153, 154, & 155

Papers

Quiz 15 in class · Last test graded and signed at home · Escape Room 8 opens

Method

No calculators, ever · show every step

Instructional notes

Converting Celsius to Fahrenheit

9 Formula: F = C + 32 5 Reminder: Order of operations: multiply first, then add 32.

EXAMPLE PROBLEM

Convert to Fahrenheit.

40°C = 104°F 85°C = 185°F 9 9 F = C + 32 F = C + 32

F = x + 32 F = ( )( ) + 32

F = 104°F F = 185°F

Practice

Convert to Fahrenheit.

20 °C = 68°F 55°C = 131°F

100°C= 212°F 25°C = 77°F

Instructional notes

Converting Fahrenheit to Celsius

5 Formula: C= (F-32) 9 Reminder: Order of operations subtract 32 first then multiply.

EXAMPLE PROBLEM

Convert to Celsius.

176°F = 80°C 212°F = 100°C 5 5 C = ( F - 32 ) C = (F-32)

C = x 144 C = x 180 9 9 C = 80°C C = 100°C

Practice

Convert to Celsius. 50°F = 10°C 32°F = 0°C

86°F = 30°C 68°F = 20°C

Instructional notes

Negative Numbers

When comparing numbers on a number line, the number on the left is less than the number on the right.

Example

Compare each pair of numbers using >or <.

0 < 4 -3 > -6 -15° < -10°

Practice

Compare each pair of numbers using >or <.

4 > -10 -5° < 12° 7° > -7° 6 > 3

Instructional notes

Graphing Ordered Pairs

To plot a point (ordered pair) on a Cartesian Plane

• Start at the origin (0,0) • Move right or left the number of spaces shown by the

first number (x-coordinate) • Move up or down the number of spaces shown by the

second number (y-coordinate) • Mark the point with a dot

Example

Plot the following points on the Cartesian plane.

A) (2,1) B) (4,-2) C) (-6,3) D) (-8,-4)

Practice

Plot the following points on the Cartesian plane.

Instructional notes

Adding & Subtracting Negative Numbers on a number line

Adding on a number line Move to the right Subtracting on a number line Move to the left

To add or subtract on a number line: • Start at the first number

• Determine which direction to go

• Move the second number of places

• Ending point is the answer

Example

-6 + 3 = -3

Example

2 - 6 = -4

Practice

Use the number line to solve. Show your work on the number line. -4 + 2 = -2

2- 3 = -1

-8 + 12 = 4

-2 - 6 = -8

✍ In your own words

Why does the formula for converting Celsius to Fahrenheit multiply by 95 and then add 32? What do those numbers represent? Suggested Answer: The 95 adjusts for the different size of degrees (Celsius degrees are bigger than Fahrenheit degrees, there are 180 Fahrenheit degrees between freezing and boiling but only 100 Celsius degrees). The +32 adjusts for the different starting point (water freezes at 32°F, not 0°F).

Homework this week

Work-text	Lesson 151	Lesson 152	Lesson 153	Lesson 154	Lesson 155
Speed drill	151	152	153	155

Terms on the record

Term	Meaning
negative numbers	When comparing numbers on a number line, the number

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