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VocabularyDay 1 CIM MA.A.1.3.1 Associates Verbal Names With Written Names.

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Presentation on theme: "VocabularyDay 1 CIM MA.A.1.3.1 Associates Verbal Names With Written Names."— Presentation transcript:

1 VocabularyDay 1 CIM MA.A Associates Verbal Names With Written Names

2 VocabularyDay 1 CIM Negative numbers

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

5 VocabularyDay 1 CIM integers

6 VocabularyDay 1 CIM 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 CIM 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 CIM coordinate

9 VocabularyDay 1 CIM Which of the following is a coordinate? a.4 and 6 b.(-1.2, -4.5) c d.c and d

10 VocabularyDay 1 CIM 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 CIM inequality

12 VocabularyDay 1 CIM What is an inequality? An inequality is a math statement or expression 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 CIM absolute value

14 VocabularyDay 1 CIM 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 CIM Write the expression for: The absolute value of -1? A.) -|1| B.) |-1| C.) -|-1| D.) none of the above

16 VocabularyDay 1 CIM Write the expression for: The absolute value of 45? A.) |45| B.) -|45| C.) |-45| D.) -|-45|

17 VocabularyDay 1 CIM Write the expression for: The absolute value of -32.7? A.) -|32.7| B.) |-32.7| C.) -|-32.7| D.) none of the above

18 VocabularyDay 1 CIM Write the expression for: The absolute value of -x 2 ? A.) -|- x 2 | B.) -| x 2 | C.) |- x 2 | D.) | x 2 |

19 VocabularyDay 1 CIM Write the expression for: The absolute value of -(x + 3)? A.) |-(X + 3)| B.) -|(X + 3)| C.) |X + 3| D.) -|-(X + 3)|

20 VocabularyDay 1 CIM Evaluate: |-1| =

21 VocabularyDay 1 CIM Evaluate: |45| =

22 VocabularyDay 1 CIM Evaluate: The absolute value of -32.7?

23 VocabularyDay 1 CIM Evaluate: The absolute value of -x 2 ? A.) x 2 B.) - x 2

24 VocabularyDay 1 CIM Evaluate: The absolute value of -(x + 3)? A.) -(x + 3) B.) (x + 3) C.) -x + 3 D.) -x - 3

25 VocabularyDay 1 CIM bases

26 VocabularyDay 1 CIM What is a base? A base is a number that is to be multiplied in an exponential power expression.

27 VocabularyDay 1 CIM exponents

28 VocabularyDay 1 CIM 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 or exponential 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

29 VocabularyDay 1 CIM Evaluate: 2 4 = ____

30 VocabularyDay 1 CIM Evaluate: 7 3 = ____

31 VocabularyDay 1 CIM Exponential power

32 VocabularyDay 1 CIM What is an exponential power? An exponential power is a term that includes a base and an exponent. It is the number that is to be multiplied times itself the total number of times expressed by the exponent. It is many times called just a power.

33 VocabularyDay 1 CIM Scientific notation

34 VocabularyDay 1 CIM What is scientific notation? Scientific notation is a way of writing very big or very small numbers so they are easier to manipulate arithmetically. When you first see a number written in scientific notation, it might look hard to read. But it really isnt once you understand why it is written like it is and practice writing numbers that way. Scientific notation involves two parts: The base number The power of ten

35 VocabularyDay 1 CIM

36 VocabularyDay 1 CIM Write 6,543,210 in scientific notation? 1. Move the decimal point from the right of the zero ( ) to the right of the left-most digit, between the 6 and 5 ( ) 2. Count the number of place values the decimal has been moved to the left. (In this case, it has moved to the left six places.) 3. This number is now the exponent that will be used as the power of 10, so it is written as The answer then becomes x Drop any insignificant zeros on the end of the decimal.

37 VocabularyDay 1 CIM Write 43,671 in scientific notation?

38 VocabularyDay 1 CIM Square root

39 VocabularyDay 1 CIM 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

40 VocabularyDay 1 CIM Evaluate: = ____

41 VocabularyDay 1 CIM Perfect square

42 VocabularyDay 1 CIM What is a perfect square? A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because 4 · 4 = 16

43 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Every student should know the perfect squares up through 144. They arent that hard. Lets see if you can name them. 1 2 = _______

44 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Good, now lets try: 2 2 = _______

45 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Next: 3 2 = _______

46 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Try this one: 4 2 = _______

47 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? How about? 5 2 = _______

48 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Keep going = _______

49 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Youre more than half way! 7 2 = _______

50 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This one is easy: 8 2 = _______

51 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This is the last single digit one: 9 2 = _______

52 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Everybody knows this one = _______

53 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This one is a bit tough for some: 11 2 = _______

54 VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? And last but not least: 12 2 = _______ Great! Now lets see how knowing this can help with square roots.

55 VocabularyDay 1 CIM Radical sign

56 VocabularyDay 1 CIM What is a radical sign? A radical sign is the sign used to identify the Operation of taking the square root of a number. Here are the square roots shown with the radical sign for the perfect squares through 144:

57 VocabularyDay 1 CIM Principal square root

58 VocabularyDay 1 CIM What is a principal square root? A principal square root is the positive value of a square root of a number. For example, the principal 16 = 4.

59 VocabularyDay 1 CIM Ratio

60 VocabularyDay 1 CIM What is a ratio? A ratio is a mathematical comparison of two numbers to each other that have the same dimensional units (so units are not required). The two numbers can be separated by either a colon (:) or placed on both sides of a fraction line. e.g. 4:5 is a ratio;

61 VocabularyDay 1 CIM Calculate a ratio. A math class has a total of 23 students. 10 are boys. Write the ratio of boys to girls in this class as a fraction? [Note: Since we are comparing students to students, there is no need to include dimensions.]

62 VocabularyDay 1 CIM Rewriting a ratio. Write the answer to the previous problem using the colon instead of the fractional form for a ratio.

63 VocabularyDay 1 CIM Rate

64 VocabularyDay 1 CIM What is a rate? A rate is a measurement that compares two scalar dimensions, normally, but not always, between quantity and time, to each other. It is a ratio that says how long it takes to do something, or how two dimensions relate to each other in the physical world. It compares two different kinds of units, or two different things measured in different portions of the same units. Examples of rate units are: miles per hour feet per minute kilometers per day dollars per week liters per second gallons per month ounces per pound (notice different portions of the same units here) Rates are usually in dimensions of length (distance) in the numerator and time in the denominator, but not always

65 VocabularyDay 1 CIM When converting between rate units we use a tool called Dimensional Analysis. Dimensional analysis allows us to convert from one rate unit to another. For example, if we want to convert the number of inches per day that a snail moves to compare it to the speed of a man walking, we would use dimensional analysis to convert inches per day to miles per hour. Since certain units can be equated, for instance, 12 inches = 1 foot, we can relate them into a rate unit like this: 12 inches 1 foot

66 VocabularyDay 1 CIM Percent

67 VocabularyDay 1 CIM What is percent? A percent is a number representing the ratio between a quantity and 100. Per cent means divided by 100 Thus, a numbers percentage is the relationship between the part associated with the number versus the whole quantity, represented by 100. It is equivalent to a fraction with 100 in the denominator. It is written as a number followed by the symbol %.

68 VocabularyDay 1 CIM Write 21 / 70 as a percent? 21 / 70 is the same as 21 divided by / 70 =.3 = 3/10 (10/10) = 30 / 100 = 30%

69 VocabularyDay 1 CIM Write 4 / 5 as a percent? a.80% b.75% c.70% d.60%

70 VocabularyDay 1 CIM Percent proportion

71 VocabularyDay 1 CIM What is percent proportion? A percent proportion is a relationship between two fractions that us often used to solve percent problems. It looks like this:

72 VocabularyDay 1 CIM Solving percent proportion problems: Using the percent proportion equation: The fraction of part-to-whole is expressed in this equation: What percent of 200 is 60? 60 is the part; 200 is the whole. So the equation becomes: Solving: 60:200=?:100 (The product of the means = the product of the extremes.) 6000 = 200?; ? = 6000/200 = 30

73 VocabularyDay 1 CIM Part

74 VocabularyDay 1 CIM What is a part? A part is a piece of the whole in a math problem. For example, What is 20% of 600? What represents the part, 600 is the whole. So the percent proportion problem is: part:600=20:100 (part)100=12000 part = =


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