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Criterion B: Investigating Patterns

ii. describe patterns as general rules consistent with findings.

1

Determine which of these real numbers could be an absolute value.

1

Recheck your answer and write down a general rule for what kind of real numbers could be absolute values.

Find |a x b| and |a| x |b| for each of the following pairs of a and b

1

a= 11 and b = 7

1

a = -6 and b = 4

1

a = -0.2 and b = -15

1

a = -√3 and b = -3

1

Describe what you notice in the above set of questions. Do you see any pattern?

1

Write down your findings as a general property.

1

a = 5

1

a = -3

1

a = √6

1

Describe what you notice.

1

Write a general rule consistent with your findings.

1

Complete the following table

1

Describe any generalizations you noticed.

1

Complete the following table

1

Draw conclusions from the table above.
Choose the correct answer.

|a - b| ≥ |b - a|

|a - b| = |b - a|

|a - b| ≤ |b - a|

1

Draw conclusions from the table above.
Choose the correct answer.

|a + b| ≥ |b + a|

|a + b| = |b + a|

|a + b| ≤ |b + a|

1

Draw conclusions from the table above.
Choose the correct answer.

|a + b| ≥ |a| - |b|

|a + b| = |a| - |b|

|a + b| ≤ |a| - |b|

1

Draw conclusions from the table above.
Choose the correct answer.

|a - b| ≥ |a| - |b|

|a - b| = |a| - |b|

|a - b| ≤ |a| - |b|

Self check.

After submitting your work, you will be able to see the correct answers to all the questions. Make a note of what went wrong (if any) and redo the questions you made mistakes in.

Absolute Values Investigations

Absolute Values Investigations

Determine which of these real numbers could be an absolute value.

Recheck your answer and write down a general rule for what kind of real numbers could be absolute values.

a= 11 and b = 7

a = -6 and b = 4

a = -0.2 and b = -15

a = -√3 and b = -3

Describe what you notice in the above set of questions. Do you see any pattern?

Write down your findings as a general property.

a = 5

a = -3

a = √6

Describe what you notice.

Write a general rule consistent with your findings.

Complete the following table

Describe any generalizations you noticed.

Complete the following table

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Determine which of these real numbers could be an absolute value.

Recheck your answer and write down a general rule for what kind of real numbers could be absolute values.

a= 11 and b = 7

a = -6 and b = 4

a = -0.2 and b = -15

a = -√3 and b = -3

Describe what you notice in the above set of questions. Do you see any pattern?

Write down your findings as a general property.

a = 5

a = -3

a = √6

Describe what you notice.

Write a general rule consistent with your findings.

Complete the following table

Describe any generalizations you noticed.

Complete the following table

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above. Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.

Draw conclusions from the table above.
Choose the correct answer.