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Grade 06 Mathematics - EC: M06.A-R.1.1.5

Grade 06 Mathematics - EC: M06.A-R.1.1.5

Continuum of Activities

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

  • Instructional activities designed to be integrated into planned lessons
  • Questions/activities that grow in complexity
  • Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Activities

  1. 30 is 25% of what number?

  2. 30% of what number is 270?

  3. What is 12% of 85?

  1. On a recent science quiz you scored 75%.  If there was a total of 20 questions on the test how many did you get correct?  Show your work.
  1. A bakery sells the day old baked goods at a discount of 40% off.  If the bagels regularly cost $1.50, how much would you save if you bought it when it is a day old?  Show your work.
  1. Compare using <, > or =.  Show your work.
    15% of 60         25% of 40 
  1. A department store is having a sale.  All clothing items are 30% off.  Fill in the chart below finding the amount saved and the sale price of each item. Show your work.



  2. Your family is planning a family vacation and is trying to find the best deal on hotel prices.  The Happy Family hotel charges $99.00 per night for a room but has a special that gives you 15% off your room.  The Merry Place hotel charges $124.00 per night for a room but they have a special for 30% off your room.  Which hotel is a better value for your family to stay in?  Justify your answer.

Answer Key/Rubric

  1. 120
  1. 900
  1. 10.2

  2. You got 15 questions correct.

        Work might include, but is not limited to:

  • To solve the missing part of the equation you have to find the relation between 100 and 20.  100 ÷ 5= 20.  So you must perform the same operation to the numerators to find the missing value.
  • 75÷5 = 15
  • The student scored
  1. You would save $0.60.

        Work might include, but is not limited to:

  • Change 40% to a decimal. 40% = 0.40
  • Multiply the original price by 0.40.  $1.50 * 0.40 = $0.60
  1. 15% of 60 25% of 40

        Work might include, but is not limited to:

  • Find the value of each expression and compare.
  • Change 15% to 0.15
  • Multiply 60 * 0.15 = 9
  • Change 25% to 0.25
  • Multiply 40 * 0.25 = 10
  • 9 < 10


  1. The work of each item might include, but is not limited to:

  • Changing the discount of 30% to 0.30 for each one
  • Multiplying the original price buy the discount; this will be the amount saved
  • 50 * 0.30 = 15
  • 120 * 0.30 = 36
  • 75 * 0.30 = 22.5
  • To find the sale price you have to subtract the amount saved from the original price.
  • 50 – 15 = 35
  • 120 – 36 = 84
  • 75 – 22.5 = 52.5
  1. The Happy Family Hotel is cheaper per night.

        Work might include, but is not limited to (two different methods are shown below):

  • Find the price of each hotel and compare
  • Happy family discount is 15% which means you are paying 85%.  100 – 15 = 85
  • Change 85% to 0.85
  • Multiply $99.00 * 0.85 = $84.15.  That is the amount that you will pay per night.
  • For the Merry Place Hotel change 30% = 0.30
  • Multiply the price by the decimal $124.00 * 0.30 = $37.20.  That is the amount of money that you would save.
  • Subtract the discount from the original price $124.00 – 37.20 = $86.80
  • Compare the price and you will see that $84.15 < $86.80

 

 

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