Comparing and Ordering Positive and Negative Numbers

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Presentation transcript:

Comparing and Ordering Positive and Negative Numbers Lesson 6.1 Page 218-220

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: 12L 12R

CA Content Standards Number Sense 1.1***: We compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Mathematical Reasoning 1.1: We analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: Vocabulary: 12L 12R

Vocabulary: INTEGERS The set of positive whole numbers, their opposites, and zero. (Ex: -2, -1, 0, +1, +2) -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Vocabulary: OPPOSITES Pairs of numbers that are the same distance on a number line from zero. (Ex: -7 & +7)

Vocabulary: POSITIVE NUMBERS Numbers whose value is greater than zero. (Ex: +4 & +9)

Vocabulary: NEGATIVE NUMBERS Numbers whose value is less than zero. (Ex: -3 & -8)

Vocabulary: ABSOLUTE VALUE The distance from zero to an integer on the number line. Absolute values are always neutral (neither + nor -).

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: Vocabulary: Objective: 12L 12R

Objective: Compare and order positive and negative numbers. Math Link: You know how to compare and order whole numbers, decimals, and fractions. Now you will learn how to compare and order positive and negative numbers.

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: Vocabulary: Objective: Notes & Examples: 12L 12R

Parts of a Number Line Bigger numbers are to the RIGHT Smaller numbers are to the LEFT

Place +5, -4, +2, 0, and -2 on a number line Place +5, -4, +2, 0, and -2 on a number line. Then write them in order from least to greatest. REMEMBER… Bigger numbers are to the RIGHT Smaller numbers are to the LEFT From least to greatest: -4, -2, 0, 2, 5 Example 1.

Place +2, -0. 5, 0, -3, and + 1. 75 on a number line Place +2, -0.5, 0, -3, and + 1.75 on a number line. Then write them in order from least to greatest. REMEMBER… Bigger numbers are to the RIGHT Smaller numbers are to the LEFT From least to greatest: -3, -0.5, 0, +1.75, +2 Example 2.

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: Vocabulary: Objective: Notes & Examples: pg. 219, # 7-10; pg. 220, # 19-24 12L 12R

Write the absolute value and the opposite of -4. -4 Absolute value (always neutral) = 4 Opposite = +4 Example 3.

Write the absolute value and the opposite of +386, 942. +386,942 Absolute value (always neutral) = 386,942 Opposite = -386,942 Example 4.

Comparing & Ordering Positive and Negative Numbers (pg. 218-220) 10/06/08 10/06/08 Lesson 1.2: pg. 219, # 1-6; pg. 220, # 12-17 Lesson 6.1: Comparing & Ordering Positive and Negative Numbers (pg. 218-220) Standards: Vocabulary: Objective: Notes & Examples: Moral of the Story: pg. 219, # 7-10; pg. 220, # 19-24 12L 12R

The Moral of the Story To order positive and negative numbers, use their position on the number line to assess their relative value.

10/08/08 10/08/08 Math Minute # 3 Math Minute # 3 13L 13R

Math Minute # 3 The product of 4 and 6 is ___. 2,463 x 0 = 1, 10, 2, 9, 3, ___, ___, ___ 8/4= 4 48

Math Minute # 3 Continued 8 + 6 ÷ 3 = 3 + 4  3 = Apples: 4 for $ 2. How much does each apple cost? 5 + (3 – 1) = The difference between 9 and 5 is ___.