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Grade 05 Mathematics - EC: M05.A-T.1.1.3

Grade 05 Mathematics - EC: M05.A-T.1.1.3

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

5th Grade

Course, Subject

Mathematics

Activities

  1. True or false.  4.5 = 4 + 5 x (0.1)

  2. Is this equation correct?  120.4 = 100 + 20 + .4

  3. Write 7.89 in expanded form.

  4. Write 5.03 in base ten form.

  5. Identify what form the decimal is written in  6.34 = 6 x 1 + 3 x (0.1)+ 4 x (0.01)
  1. Show the number 67.09 written in expanded form and base ten form.  Identify each form.

  2. Fill in the blanks to make the number sentence true.   
                835.404 = 8 x _____ + 3 x 10 + ______ + 4 x (0.1) + 4 x (_______)

  3. Write the decimal 85.71 in word form.

  4. Identify which form of the number 1,287.042 is incorrect.
    1. 1000 + 200 + 80 + 7 + .04 + .002
    2. 1 x 1000 + 2 x 100 + 8 x 10 + 7 x 1 + 4 x (.1) + 2 x (.01)
    3. one thousand, two hundred eighty seven and forty two thousandths

  5. Write the word form for the number 235.004.

  6. What is incorrect in the written form of the decimal 49.45:
                forty nine and forty five thousandths

  7. Correct the error(s) in the expanded form of two thousand nine and seven hundredths.
                2 x 1000 + 9 x 10 + 7 x (0.1)

  8. Given the decimal 392.871, write the hundredths and thousandths places in base ten form.

  9. Make as many changes as necessary to correct the number sentence.
                6 x 1000  + 8 x 10 + 7 + 4 x (.1) + 3 x (.01) =  687.403

  10. Write the base ten form for the decimal 19.482.
  1. Explain why six and thirty nine thousandths is not equivalent to 6 + .3 + .09.

  2. Identify any errors in the following  statement and explain the reason the error is incorrect: 
     twenty seven hundred two and forty nine thousandths is written as 272.49

  3. Write the number a,b3c.x0y in base ten form and in word form where a, b, c, x and y represent digits.  What digit do a and y not represent?

  4. Which representation of the number x0y.00z is not correct?
    1. x hundred y and z thousandths
    2. x00 + y + .00z
    3. x(100) + y + z(.01)

  5. Write the decimal x0y.00z in word form.  What digits in the decimal x0y.00z are not zeroes?  Why?

  6. Read the decimal 504.03 and then write it in base ten form.  Justify why the base ten form is the equivalent to the number 504.03.

  7. Write the number x thousand 7 hundred b and y hundredths in base ten form.  Explain your solution.

  8. Which representation of 6 tens and xy thousandths is correct?
    1. 6.xy
    2. 6(10) + x(.01) + y(.001)
    3. 60 + .x + .0y

  9. Read the decimal 200.123 and then write it in expanded form.  Justify why the expanded form is the equivalent to the number 200.123.

  10. Write the number 3 thousand x hundred b and y tenths in expanded form.  Explain your solution.

Answer Key/Rubric

  1. True

  2. Yes

  3. 7 x 1 + 8 x (0.1) + 9 x (0.01)

  4. 5 + .03

  5. Expanded form
  1. 60  + 7 + .09 base ten form;    6 x 10 + 7 x 1 + 9 x (.01) expanded form

  2. 100; 5 x 1; .001

  3. Eighty five and seventy one hundredths

  4. b

  5. Two hundred thirty five and four thousandths

  6. It should be forty five hundredths

  7. 2 x 1000 + 9 x 1 + 7 x (.01)

  8. .07 + .001

  9. Change to 6 x 100 or change the number to 6087.403 AND change to 3 x .001 or change the number to 6087.43

  10. 10 + 9 + .4 + .08 + .002
  1. Six and thirty nine thousandths is written as 6.039.  6 + .3 + .09 is equal to 6.39 which does not equal 6.039.

  2. Twenty seven hundred two is written as 2702 and forty nine thousandths is written as .049. 

  3. Word form: a thousand b hundred thirty c and x hundred y thousandths
    Base ten form: a000 + b00 + 30 + c + .x + .00y
    a and y do not represent zero

  4. c

  5. x hundred y and z thousandths.  x and z are not zeroes.  X is not a zero because the first digit in a number (which is greater than 0) is greater than 0.  Z is not a zero because the last digit in the decimal portion of a number is greater than 0.

  6. 500 + 4 + .03    The five represents hundreds and the four represents ones because of the place these digits are in the number 504.03.  The three represents hundredths because it is in the hundredths place in the number 504.03

  7. x000 + 700 + b + .0y    The x is in the thousands place + 700 + b which can represent tens and / or ones because we do not write tens and ones separately in written form; y is in the hundredths place and since there are no tenths mentioned it must be zero.

  8. b

  9. 2(100) + 1(.1) + 2(.01) + 3(.001)   Student must indicate that by following order of operations multiplication is first and then addition.  They must also indicate the step by step math.

  10. 3(1000) + x(100) + b + y (.1)   Three thousand is 3 thousands. X hundreds is x times 100.  B can represent tens and / or ones because we do not write tens and ones in written form.  Y tenths is y times .1
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