Mid Module 2 Review

Mid Module 2 Review -- Common Mistakes

Distance Formula |p - q|

• Where students most commonly lost points:

  • Did not write the formula

  • Wrote the formula incorrectly - missing absolute value symbols

  • Wrote the formula incorrectly - added instead of subtracting endpoints

  • Wrote the formula incorrectly - used incorrect numbers. Remember, p and q represent the endpoints.

Multiple Choice

What is the distance formula?

• p + q

• p - q

• |p + q|

• |p - q|

Multiple Choice

What is the distance between -5 and 6?

• 10

• -11

• 11

• -10

"Change In"

• This represents the amount by which a value changes

• Can be positive OR negative

• To accurately represent a negative dollar amount you need the correct sign, the units ($) and the correct number, including cents (if applicable)

Multiple Choice

Michael paid $5 each month for a streaming music subscription. What was the change in his account balance at the end of the year?

• -5

• 60

• -$60

• $5

Real-World Scenarios

• Follow the directions! Include the answer in your story!

• Keep it short and to the point.

• Use scenarios reviewed in class!

Multiple Choice

Which equation correctly models the following scenario? Lucy began exercising and lost 3 pounds each month for 5 months. She lost a total of 15 pounds after 5 months.

• -3(5) = -15

• 3(-5) = -15

• -3(-5) = 15

• -3(5) = 15

Properties of Operations

• Whenever possible, utilize various properties (Commutative, Associative etc.) to help make a problem easier

• Multiplying by 10 helps because you are just adding a zero to the number being multiplied. Example: 34•10 = 340

• If there is a number in the problem that you can multiply the fraction by that will eliminate the fraction, that is another great strategy. Example: 6 • 5/6 = 5

• ​Split up mixed numbers into the integer and fractional parts.

  Example: -5 5/8 = -5 + (-5/8)

Multiple Choice

Which property is used below?

2 • (51/3) • 5 • 3 = 2 • 5 • (51/3) • 3

• Commutative Property

• Distributive Property

• Additive Property

• Multiplicative Identity Property

Open Ended

Why would we want to rearrange the order of the factors in this particular expression?

2 • (51/3) • 5 • 3 = 2 • 5 • (51/3) • 3