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CIM MathStrand A: Number Sense MA.A.1.3.2 Understanding Relative Sizes of Integers and Fractions.

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Presentation on theme: "CIM MathStrand A: Number Sense MA.A.1.3.2 Understanding Relative Sizes of Integers and Fractions."— Presentation transcript:

1 CIM MathStrand A: Number Sense MA.A Understanding Relative Sizes of Integers and Fractions

2 VocabularyDay 1 Negative numbers

3 VocabularyDay 1 What are negative numbers? a.All numbers less than or equal to zero b.All numbers less then negative 1 (i.e., -1). c.All numbers equal to or less than negative 1 (i.e., -1). d.All numbers that students dont want to learn. e.All numbers less than zero (i.e., 0).

4 VocabularyDay 1 What are negative numbers? Negative numbers are numbers that are less than zero. Examples: / /8 - 83

5 VocabularyDay 1 integer

6 VocabularyDay 1 What is an integer? a.An integer is a whole number. b.An integer is a negative whole number. c.An integer is a positive whole number, zero, or a negative whole number. d.An integer is a number that can be written as a ratio of two numbers.

7 VocabularyDay 1 What is an integer? An integer is a whole number that can be written as a positive whole number, zero, or a negative whole number. The numbers..., -4, -3, -2, -1, 0, 1, 2, 3, 4,... consisting of the negative whole numbers, zero, and the positive whole numbers are called integers. -3 and 31 are both examples of integers. They contain no decimals or fractional components.

8 VocabularyDay 1 coordinate

9 VocabularyDay 1 Which of the following is a coordinate? a.a and b b.3 and 5 c.-2.2 d.(5, -20.5)

10 VocabularyDay 1 What is a coordinate? A coordinate is a pair of values that represent a point on a coordinate plane, also known as an ordered pair, (x,y). The coordinate plane is also known as the Cartesian Coordinate System. It is made up of a horizontal and a vertical number line that intersect at right angles, called the x-axis and y-axis respectively.

11 VocabularyDay 1 inequality

12 VocabularyDay 1 What is an inequality? An inequality is a math statement formed by placing a less than or greater than sign between two expressions. For example, 1 < 2 or 3x + 3 > 6 - y

13 VocabularyDay 1 absolute value

14 VocabularyDay 1 What is absolute value? Absolute value is the distance of a number from zero on the number line. It is written as |n|, where n is a real number. For example, |-4| = 4 or |x| = x and |-x| = x

15 VocabularyDay 1 Write the absolute value of ?

16 VocabularyDay 1 less than

17 VocabularyDay 1 The phrase less than is a form of inequality where the real number prior to the phrase or symbol is smaller than the real number that follows the phrase or symbol. For example, 6 < 3 means six is less than three and y < x means y is less than x

18 VocabularyDay 1 Which of the following is correct? a.7 > 76 b.8 < 9 c.26 < -26 d >

19 VocabularyDay 1 irrational number

20 VocabularyDay 1 An irrational number is a real number that cannot be written as a fraction, and as a decimal neither repeats nor terminates. For example, π = Or – are both irrational numbers

21 VocabularyDay 1 Which of the following is an irrational number? a.3.14 b c. d

22 VocabularyDay 1 real number

23 VocabularyDay 1 A real number is a number that is either a rational number or an irrational number.

24 VocabularyDay 1 True or False is a rational number.

25 Pre-requisite SkillsDay 2 Conversion of fractions

26 Pre-requisite SkillsDay 2 Conversion of fractions ¼ =.25 1/3 =.33 (repeating) ½ = 4/8 = 3/6 = 500/1000 =.5 = 50% 10/1 = / 0 = undefined

27 Pre-requisite SkillsDay 2 Conversion of fractions Convert 22/7 to an equivalent form? (any real mathematical symbol is acceptable)

28 Pre-requisite SkillsDay 2 decimals

29 Pre-requisite SkillsDay 2 Write in expanded form?

30 Pre-requisite SkillsDay 2 percents

31 Pre-requisite SkillsDay 2 Write 16 / 80 as a percent? 16 / 80 is the same as 16 divided by / 80 =.2 = 2/10 (10/10) = 20 / 100 = 20%

32 Pre-requisite SkillsDay 2 Write 3 / 4 as a percent? a.80% b.75% c.70% d.60%

33 Pre-requisite SkillsDay 2 integers

34 Pre-requisite SkillsDay 2 Integers are real numbers. They make up the set of whole numbers: greater than zero, less than zero, or equal to zero.

35 Pre-requisite SkillsDay 2 Which of these is an integer? a b..28 c.4/1 d.537,685

36 Pre-requisite SkillsDay 2 exponents

37 Pre-requisite SkillsDay 2 What is an exponent? An Exponent is a number that appears as a superscript next to a number called a base. It tells you how many times the base needs to be multiplied. The entire number is called a power. For example, 2 4 = 2 · 2 · 2 · 2 = 16; 4 is the exponent a 8 = a · a · a · a · a · a · a · a; 8 is the exponent

38 Pre-requisite SkillsDay 2 Evaluate: 2 4 = ____

39 Pre-requisite SkillsDay 2 Evaluate: 7 3 = ____

40 Pre-requisite SkillsDay 2 square roots

41 Pre-requisite SkillsDay 2 What is a square root? A square root is the number that is multiplied by itself to get the number that is being evaluated. For example, 16 = 4 because 4 · 4 = 16

42 Pre-requisite SkillsDay 2 Evaluate: = ____

43 Pre-requisite SkillsDay 2 Understand fractional meanings

44 Pre-requisite SkillsDay 2 A fraction is made up of two parts: the top number (x) is the a.denominator, divisor b.denominator, dividend c.numerator, divisor d.numerator, dividend

45 Pre-requisite SkillsDay 2 A fraction is made up of two parts: the bottom number (y) is the a.denominator, divisor b.denominator, dividend c.numerator, divisor d.numerator, dividend

46 Pre-requisite SkillsDay 2 A fraction is made up of two parts: the numerator (x) and the denominator (y) The bar between the two numbers means divided by, out of, per, or over (i.e. x over y). The top number is the dividend and the bottom number is the divisor.

47 Pre-requisite SkillsDay 2 When you convert a fraction, you may solve it by dividing the numerator by the denominator. The numerator becomes the dividend and the denominator becomes the divisor of the operation: X ÷ Y = Y Г X In this case, the bar between the two numbers means divided by. The top number is the dividend and the bottom number is the divisor. e.g. = 4 ÷ 5 = 5 Г 4.0 =.8

48 Pre-requisite SkillsDay 2 A fraction is made up of two parts: The bar between the two numbers means divided by, over, out of, or per. x over y = x out of y = x per y = 7 over 8 = 7 out of 8 = 7 per 8

49 Pre-requisite SkillsDay 2 A fraction is also used for units of measure: The bar between the two numbers means per. e.g., miles per hour; dollars per week

50 PracticeDay 3 1. The coldest temperatures ever recorded for the four U.S. states beginning with the letter W (Washington, West Virginia, Wisconsin, and Wyoming) are –48°, –37°, –55°, and –66°. Which of the following shows these temperatures ordered from least to greatest? a.–48°, –37°, –55°, –66° b.–66°, –55°, –37°, –48° c.–37°, –48°, –55°, –66° d.–66°, –55°, –48°, –37°

51 PracticeDay 3 2. Which of the following shows the numbers in order from greatest to least? a. b. c. d.

52 PracticeDay 3 a. 8 and 9 b. 9 and 10 c. 10 and 11 d. 11 and is between which two whole numbers?

53 PracticeDay 3 a. b. c. d. 2.5, 5, For which set of three numbers is the second number exactly between the first and third numbers of the set?

54 PracticeDay 3 a. b. c. d. 5. Which of the following numbers represents the greatest amount?


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