Using Mathematics to Solve Everyday Problems

1
Using Mathematics to Solve Everyday Problems

• Lesson 3 4
• TEKS 6.11A/B

2
Follow these steps when solving problems

• Understand the Problem. Organize the information
  and identify exactly what you must find.
  Information that is not given in the problem,
  such as a formula, may be needed. Information
  that is not needed in order to solve the problem
  may be given.

3

• Make a plan. Decide how to use this information
  to find an answer. Think about the math concepts
  that apply to the situation. Identify the order
  in which to find new information and the formulas
  or equations to be used to find an answer.

4

• Carry out the plan. After choosing a
  problem-solving strategy, use the strategy to
  work toward a solution to the problem. Go
  step-by-step through the plan, writing down
  important information at each step.

5

• Check to see whether the answer is reasonable.
  Check to see whether the answer makes sense. Does
  it answer the question asked? Is it stated in the
  correct units? Is it reasonable?

6
EX 1

• One string on a musical instrument vibrates at a
  constant rate of 196 vibrations each second. At
  this rate, how many times does the string vibrate
  in 45 seconds?
• Understand
• What do you know?
• One string on a musical instrument vibrates at a
  constant rate of 196 vibrations each second.

7

• One string on a musical instrument vibrates at
  a constant rate of 196 vibrations each second. At
  this rate, how many times does the string vibrate
  in 45 seconds?
• What do you want to know?
• How many times the string vibrates in 45 seconds?
• Plan
• How do you find number of times the string
  vibrates in 45 seconds?
• Multiply the number of times the string vibrates
  each second by the number of seconds to find the
  number of times the string vibrates in 45
  seconds.

8

• One string on a musical instrument vibrates at a
  constant rate of 196 vibrations each second. At
  this rate, how many times does the string vibrate
  in 45 seconds?
• Solve
• 196 x 45 v
• V 8,820
• Look Back
• 196 rounds to 200
• 200 x 45 9,000

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Ex 2

• Carmella is planning a budget for her clothes
  for her family vacation. She is saving 25 per
  week. So far she has saved 125. She plans to
  spend about 200 on clothes for the vacation. She
  is planning to purchase items that range in price
  from 2 to 50. Will Carmella have enough money
  for her clothes for vacation?

10

• Carmella is planning a budget for her clothes
  for her family vacation. She is saving 25 per
  week. So far she has saved 125. She plans to
  spend about 200 on clothes for the vacation. She
  is planning to purchase items that range in price
  from 2 to 50. Will Carmella have enough money
  for her clothes for vacation?
• Understand
• What do you know?
• Camella saves 25 per week.
• She has already saved 125.
• She plans to spend 200 on clothes for her
  vacation.

11

• Carmella is planning a budget for her clothes
  for her family vacation. She is saving 25 per
  week. So far she has saved 125. She plans to
  spend about 200 on clothes for the vacation. She
  is planning to purchase items that range in price
  from 2 to 50. Will Carmella have enough money
  for her clothes for vacation?
• What do you want to know?
• Will Carmella have enough money for her vacation
  clothes?
• Do we have enough information?
• We dont know when she will go shopping.
• We dont know how many weeks she has left to
  save.
• No we need more information