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Math:

Math:. Quarter end. Chapter 1 Section 1. Divisibility patterns 2-if the last digit is even 3-if the sum of digits is divisible by three 5-if the last digit is 0 or 5 6-if the number is divisible by 2 & 3 9-if the sum of the last 2 digits is divisible by 9 10-if the last digit is 0

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Math:

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  1. Math: Quarter end

  2. Chapter 1 Section 1 • Divisibility patterns • 2-if the last digit is even • 3-if the sum of digits is divisible by three • 5-if the last digit is 0 or 5 • 6-if the number is divisible by 2 & 3 • 9-if the sum of the last 2 digits is divisible by 9 • 10-if the last digit is 0 • Ex: number is 309, divisible by 3 and 9 • Ex: number is 210, divisible by 2,3,5,6, and 10

  3. Chapter 1 Section 2 • Dividing by 2 digit divisors • DMSCB ( Divide, Multiply, Subtract, Compare, Bring Down • Ex:

  4. Chapter 1 Section 3 • Prime Factorization • Factor- numbers multiplied by each other • Ex: 6x4=24 6 and 4 are factors of 24 • Prime Numbers- numbers that have only 2 factors, 1 and itself • Ex: 7 is a prime number, its factors are 1 and 7 • Composite number- a number that has more than 2 factors • Ex: 32 is composite, factors are 1,2,4,8,16,32 • Prime Factorization- when a number is expressed as a product of prime numbers

  5. Chapter 1 Section 3 (continued) • Ex of prime factorization:

  6. Chapter 1 Section 4 • Powers and Exponents • Powers- numbers expressed by using examples • Base- in a power, the number as a factor • Ex: in 23 the base is 2, 23= 2x2x2, 3 is the exponent • Exponents- the number of times a number needs to be multiplied to obtain the product • 56= 5x5x5x5x5x5= 15,625

  7. Chapter 1 Section 5 • Order of Operations (PEMDAS) • Please Excuse My Dear Aunt Sally • P- Parentheses. Complete operation inside parentheses first, if there are any • E- Exponents. Find the value of exponents in the equation • M- Multiply and or Divide. Perform any multiplication and division from left to right. • Addition and or Subtraction. Perform any addition and subtraction from left to right.

  8. Chapter 1 Section 5 continued • Ex of order of operations: 4+(2x3)-4x2 4+6-4x2 4+6-8 10-8=2 The answer is 2

  9. Chapter 1 Section 6 • Algebra: Variables and expressions • Algebra: A part of Mathematics where letters are used to represent numbers • Variable: A symbol, usually a letter, used to represent a number • Algebraic Expression- combination of variables, numbers, and or at least one operation. • Ex- 4+x • Evaluate- find the answer or value to an algebraic expression

  10. Chapter 1 Section 6 continued • The symbol is frequently used in place of the traditional multiplication symbol, this is because x is a common used variable. • Ex: 6 4 means 2x3 • Ex: 8n means 8xn • Ex: St means Sxt • T=3 5t+4=5 3+4=15+4=19

  11. Chapter 1 Section 7 • Algebra: Solving equations • Uses an variable in place of a number in an equation • Usually done mentally • Solve for solution to make equation true • Ex: 4+n=16 • 16-4=12 • N=12 • 2y=14 • 14 2=7 • Y=7

  12. Chapter 1 Section 8 • Geometry: Area of Rectangles • To find the area of a rectangle, multiply the number of units in length and number of units in width • The formula for area is l w • Ex: a=l w • a=12 5 a=60in2

  13. Chapter 2 Section 1 • Frequency Tables • A frequency table shows the number of pieces of data that falls between a given interval • It includes a scale, tally marks, intervals, and a table • Starts off with pieces of data. • N/a Example

  14. Chapter 2 Section 1 continued • Ex: Data Ex: Frequency Table

  15. Chapter 2 Section 2 • Bar graphs and line graphs • Make bar graphs and line graphs from frequency tables • Includes bar which is frequency, scale on vertical axis, categories on horizontal axis, possible key, title, possible compression mark • Same for line graph, except line and line segments which show frequency

  16. Chapter 2 Section 3 • Circle graphs • Used to compare parts of a whole (percentages) • Always add up to 100 percent • Also comes from frequency tables

  17. Chapter 2 Section 3 continued • Ex:

  18. Chapter 2 Section 4 • Making predictions • Find patterns in graphs(line graphs especially they show changes over time) • Ex: A line graph increases by five million dollars every year until 2005, when it is at 25 million. What will it be in 2006 • Answer 30 million

  19. Chapter 2 Section 5 • Stem and Leaf plots • Step 1, order the data in order from least to greatest • Step 2 Draw a vertical line and write the tens digit(Stems) Draw a horizontal line and write the ones digits for each tens, (ones) • Use title, key, data, leaf, and stem

  20. Chapter 2 Section 5 contined • Ex: Temperatures in California in August Key 8/2= 820

  21. Chapter 2 Section 6 • Mean, Median, Mode and Range • Mean is all the numbers in a data set added up then divided by the numbers of pieces there were. • Median is the data pieces in order from least to greatest, is the middle number. If to find the mean of those two • Mode is the most common number, can be more that one • Range is the smallest number subtracted from the smallest number

  22. Chapter 2 Section 6 continued • Ex: 10, 12, 8, 15, 5, 10 • Mean- 6 • Median-10 • Mode-10 • Range-10

  23. The End

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