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

Week 5 · Converting Measures and Order of Operations

This week

Lessons 21, 22, 23, 24, & 25

Papers

Quiz 2 in class · Last test graded and signed at home

Method

No calculators, ever · show every step

Note-Taking Tip: Notice how conversion rules follow a pattern. Writing down patterns will help you remember them.

Instructional notes

Converting Measures To change from a larger unit to a smaller unit we multiply To change from a smaller unit to a larger unit we divide

Steps for Converting Measures: • Decide to multiply or divide • How many smaller units equal the larger unit? • Solve

Example

Convert the following measures.

Practice

48 oz. = 3 lb. 7 tons = 14,000 lbs. 1. X 1. X

4 tablespoons = 12 teaspoons 5 hours = 300 minutes

Instructional notes

Solving Measurement Equations with Differing Units

To solve measurement equations: • Rewrite the equation using the desired unit • Draw a box around the different measures • Convert • Solve

Example

Solve the measurement problem.

15 tsp. + 4 tbsp. = 9 tbsp. 5 tbsp. + 4 tbsp = 9 tbsp.

1. ÷

Practice

54 ft. − 4 yd. = 14 yd. 3 gal. + 6 qt. = 18 qt.

2 lb. − 8 oz. = 24 oz. 112 fl. oz. - 7 cups = 7 cups

Instructional notes

Square Numbers and Square Roots

Exponents tell us how many times to multiply the base. If the exponent is 2 we say the base is squared.

bbbb 52 eeeeeeee means 5 × 5

The opposite of squaring a number is to find the square root.

√16 = 4 because 4 × 4 = 16

Exponents and square roots are the second step in the order of operations. Remember PEMDAS.

P = Parentheses E = Exponents and roots MD = Multiply and divide left to right AS = Add and subtract left to right

Example

Write the value of each. 82 = 64 √100 = 10 62 = 36 √25 = 5

Practice

Write the value of each.

Instructional notes

Word Problem Strategies • Underline or highlight what the problem is asking you to find • Circle all needed information • Cross out the extra information • Decide which math operation (or operations) you need to use to solve the problem • Solve and check

Example

Timothy is turning 9 next week. He is having a skating party. He invited 25 friends. Four friends cannot attend. How many friends are coming to Timothy’s party?

Underline what the problem is asking. How many friends are coming? Circle the needed information. 25 friends invited; 4 cannot come Cross out extra information. Timothy is turning 9. What operation? Subtraction Solve and check 25 - 4 = 21 friends 21 + 4 = 25

Practice

Friendly Critter Daycare for animals is growing fast! Last year, they had 25 dogs and 10 cats each day. This year, they have twice as many dogs and three times as many cats as last year! How many dogs and cats are at the daycare this year?

25 × 2 + 10 × 3 = 80 animals

Homework this week

Work-text	Lesson 21	Lesson 22	Lesson 23	Lesson 24	Lesson 25
Speed drill	21	22	23	25

Terms on the record

Term	Meaning
converting measures	To change from a larger unit to a smaller unit we multiply
box	• Draw a box around the different measures
different	• Draw a box around the different measures
squared	exponent is 2 we say the base is squared.
root	The opposite of squaring a number is to find the square root.
second	Exponents and square roots are the second step in the order of
underline	• Underline or highlight what the problem is asking you to find
asking	• Underline or highlight what the problem is asking you to find

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