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Algebra I - EC: A1.1.1.1.1

Algebra I - EC: A1.1.1.1.1

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

Activities

  1. Estimate the value of to the nearest tenth without using a calculator.
  1. Place the following list of numbers in order from least to greatest.
    a. 22/7             b. -3.14            c. π                  d. 31/10           e.
  1. Put the following in order from least to greatest, x, x2, x3 and x4 when x = -1/2?
  1. Place the following numbers in order from least to greatest:
  1. Which letter on the number line is the best approximation of   –  ?

  1. Put the following three numbers in order from greatest to least:  0.5, , and (0.5)2.
  1. Which point on the number line best represents 154?

 

  1. The number k – 9 is how much less than k + 5?
  1. List three irrational numbers that fall between 0 and 4.
  1. For what values of x is (–x)3 > (x3) ?
  1. Using the numbers 2, 3, 7 and 10, write three different inequalities of the form where each integer is used once in each inequality.
  1. Place the correct inequality sign in each blank.

a.            b.       c.                      

  1. How many integers are between and ?
  1. Write the fraction and decimal values that represent each line between 0 and 1 inch. All lines are equally spaced apart.

  1. Between which two integers can you find the following fractions:

a.                  b.             c.                d.                e. 

  1. Assuming the number line below is drawn to scale, which letter is closest to 1,000,000,000?

  1. For what values of b is |b| > b2?
  1. Determine at least one value that would make the following inequalities true and one value that would make the inequalities not true.

a. (2x)2 > 3x2               b. –x > x2                     c. |x| > 2 – x

 

 

 

Answer Key/Rubric

  1. 3.8 or 3.9 (exact 3.87)
  1. b, d, c, a, and e
  1. x, x3, x4 and x2
  1. D
  1. , 0.5, then (0.5)2
  1. D
  1. 14 units less
  1. Various answers including:  π,
  1. x < 0
  1. Various answers including:  
  1. a. < , b. ≤ or ≥ , c. >
  1. 6

Decimal answers: 0, 0.0625, 0.125, 0.1875, 0.25, 0.3125, 0.375, 0.4375, 0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875, 0.9375, 1

  1. a. between 5 and 6    b. between -8 and -7   c. between 2 and 3   d. between 403 and 404   e. between 1 and 2
  1. A
  1. -1 < b < 1 except b ≠ 0
  1. Various answers including
  1. True: any number except 0 Not True: 0
  2. True: -1 < x < 0 Not True: x ≥ 0 or x ≤ -1
  3. True: x > 1  Not True: x ≤ 1

 

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