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Comparing & Ordering Integers August 24 th – 6A

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Page 1: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Comparing & Ordering Integers

August 24th – 6A

Page 2: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Objective• Content Objective: We will compare and

order integers. We will communicate mathematical ideas using graphical models.

• Why learn this: We use positive and negative numbers to measure temperature, height (as in above and below sea level), money, and more. We use absolute value to determine the distance from a point, without regard to the direction we are moving from that point.

Page 3: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Vocabulary

• integers: all positive whole numbers, their opposites, and zero.

• opposites: two numbers that are the same distance from zero on the number line, but in opposite directions.

• absolute value: a number’s distance from zero on the number line (always a positive value).

Page 4: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Finding Absolute Value

Find the l3l and l-3l.

l3l and l-3l = 3

Page 5: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Quick Practice

Write the opposite of each number. a)2 b) 4 c) -3 d) -11

a) -2 b) -4 c) 3 d) 11

Page 6: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Quick Practice

Find each absolute value.

a)l-21l b)l14l c) l-1l d)l21l

a) 21 b)14 c) 1 d)21

Page 7: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Comparing Integers

Compare -4 and 1 using <, =, or >.

Remember, numbers increase going from left to right.

-4 < 1

Page 8: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Quick Practice

Which number in the pair is farther away from zero.

a) 4, -5 b) 2, 5 c) -1, -3 d) -12, 11 a) -5 b) 5 c) -3 d) -12

Page 9: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Quick Check

Compare using <, =, or >.

a) -6 -3 b) -23 0 c) 17 -18 d) 5 -1a) -6 < -3 b) -23 < 0 c) 17 > -18 d) 5 > -1

e) l-21l 21 f) -14 l14l c) l-1l -5e) l-21l = 21 f) -14 < l14l c) l-1l > -5

Page 10: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Ordering Integers

Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest.

Remember, numbers increase going from left to right.

-8, -4, 3, and 7

Page 11: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

Quick PracticeIn golf, the person with the lowest score is the winner. Rank the players below by ordering their scores from lowest to highest.

Player ScoreB. Hive -12L. Emons -4T. Ricks +10J. Umps -3P. Tree -5

1.B. Hive

2.P. Tree

1.L. Emons

2.J. Umps

3.T. Ricks

Page 12: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-4l l-3l>

Page 13: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l12l l-12l=

Page 14: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-20l l10l>

Page 15: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-14l l-15l<

Page 16: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-7l 6>

Page 17: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

-5 l-4l<

Page 18: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

-15 5<

Page 19: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-13l l12l>

Page 20: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

19 l-19l=

Page 21: Comparing & Ordering Integers August 24 th – 6A. Objective Content Objective: We will compare and order integers. We will communicate mathematical ideas

l-27l 28<