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Unit 1: Numerical Understanding Integers and Positive Rational Numbers

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1 Unit 1: Numerical Understanding Integers and Positive Rational Numbers
Pictorial model- a picture describing a situation or event Justify- to defend or uphold as warranted or well-grounded-to back-up. Ascending-moving upward; rising Ex. 2, 3, 4, 5, 6, Descending-to go or pass from a higher to a lower place; move or come down Ex. 10, 9, 8, 7, 6 Equivalent-equal in value or measure. Ex. 5 = 5 Inequality-the condition of being unequal. Ex Slide 1

2 Unit 1 (cont.) Positive rational numbers- a positive number that can expressed as a fraction Ex. 4/1, 50%, 3 1/5, etc. Consecutive- following one another in uninterrupted succession or order; such as 5, 6, 7, 8, 9, Decimals- a number representing less one using the tenths, hundredths, etc. Ex or .37 Terminating – has an ending point - stops Ex Repeating- a number or group of numbers that occurs again and again Ex … Slide 2

3 Unit 1 (cont.) Variety-a number of different types of things
Evaluate-to ascertain the numerical value of; to determine or set the value or amount of; appraise: to evaluate property Conclusion-a result, issue, or outcome; a reasoned thought Drawn-to come to a conclusion Slide 3

4 Unit 1 (cont.) Improper fraction-a fraction having the numerator greater than the denominator. Ex /2 Mixed numbers-a number consisting of a whole number and a fraction or decimal, Ex /2 or 4.5 Slide 4

5 Unit 1 (cont.) Percent- a number expressed on the basis of a rate or proportion per hundred ex: interest rate, discount, tax, tips. Fraction-a way of expressing a quantity based on an amount that is divided into a number of equal-sized parts. Integer-one of the positive or negative numbers 1, 2, 3, etc., or zero. Natural numbers-a positive integer or zero Counting numbers- a positive integer or zero Slide 5

6 Unit 1 (cont.) Square Root: The square roots of a number “n” are the numbers “s” such that s^2=n. For example, the square roots of 4 are 2 and -2; the square roots of 9 are 3 and -3. (^ indicates exponent) Squared: Square numbers are numbers that are the square of an integer, like 1 (which is 1^2), 4 (which is 2^2), 9 (which is 3^2), 16 (which is 4^2), 25 (which is 5^2), etc. (^ indicates exponent) Perfect Square: an integer that is the square of the integer. Also has a whole number square root. Examples: 1,4,9,16… Simplify: To reduce to its lowest form. Order of Operation: In mathematical operations, the standard order of operations is: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Within a category, operations are done from left to right. Example: 2(6) 14 Slide 6

7 (^ indicates exponent)
Unit 1 (cont.) Parenthesis: either or both of a pair of signs ( ) used in writing to mark off an interjected explanatory or qualifying remark, to indicate separate groupings of symbols in mathematics and symbolic logic, etc. Exponents: An exponent is when a little number is to the right and a bit above a number.  It's also called a "power.“ It also means to multiply the base (the big number) times itself that many times. (^ indicates exponent) Example: 3^4 which is read as 3 to the 4th power. 3^4 = 3 X 3 X 3 X 3 = 81 Slide 7


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