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Square roots and the coordinate plane

Square roots and the coordinate plane.

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Square roots and the coordinate plane

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  1. Square roots and the coordinate plane 36 Simplify square roots35 Multiply and simplify square roots34 Graph Ordered Pairs33 Graph a line from standard form32 Find slope from two points31 Graph lines from point and slope30 Find slopes from equations29 Graph lines, slope intercept form28 Graphing systems of equations

  2. Riddle Which of the following statements are true? 1.         Exactly one of these ten statements is false.2.         Exactly two of these ten statements are false.3.         Exactly three of these ten statements are false.4.         Exactly four of these ten statements are false.5.         Exactly five of these ten statements are false.6.         Exactly six of these ten statements are false.7.         Exactly seven of these ten statements are false.8.         Exactly eight of these ten statements are false.9.         Exactly nine of these ten statements are false.10. Exactly ten of these ten statements are false.

  3. 36a Simplify Square Roots Perfect squares Ex2. Ex1. 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 Ex4. Ex3. 82 = 64 92 = 81 102 = 100 112 = 121 122 = 144 132 = 169

  4. Riddle Mr. Gray charges $5.00 to cut a log into two pieces. How much would he charge to cut a log into four pieces?

  5. 35a Multiply and simplify square roots Ex2. Ex1. 4 9 16 25 36 49 Ex3. 64 81 100 121 144 169 196 225

  6. Riddle How far apart are the rails on railroad tracks? 4 ‘ 11 ¾” How did we devise that measurement?

  7. 34a – Ordered pairs Remember that ordered pairs describe a location in terms of x and y such that (x,y). These are always in alphabetical order Where is point A and M located? A (-3,4) M(1,2) Also recall the quadrant values II IIII IV

  8. Riddle Many people who are interested in American history and politics, and especially Republicans, never tire of pointing out that Woodrow Wilson, a Democrat, was a character of such dubious qualities that when he ran for the presidency, his own mother didn't vote for him. Although he did win, why couldn't he have counted on his own mother's vote?

  9. 33a – Graph a line from standard form Recall standard form of a line. ax+by=c Graph x+y=3 To graph this, let’s find the intercepts x y 0 3 0+y=3 3 0 x+0=3 Graph the points and connect the dots

  10. 33b – Graph a line from standard form Graph 3x-y=6 x y 0 (3)0-y=6 -6 2 0 3x-0=6 Graph the points and connect the dots

  11. 33c – Graph a line from standard form Graph 3x-4y=-12 x y 0 (3)0-4y=-12 3 -4 0 3x-(4)0=-12 Graph the points and connect the dots

  12. Riddle In 1969 Pan American Airlines accepted over 80,000 reservations for commercial flights, but failed to specify either the dates or times of the trips. Furthermore, to this day, they have not bothered to honor a single reservation. Ironically, they haven't received any formal complaints. Why not?

  13. 32a Find slopes from two points Slope can be defined as m= or or Ex1. Find the slope of a line passing through points A(-2,-5) and B(6,1) -5-1 -6 3 = = -2-6 4 -8 Ex2. Find the slope of a line passing through points A(-2,4) and B(6,-5) 4--5 | 9 -9 = -2-6 -8 8

  14. Riddle Two girls are born of the same parents in Boston, but not at the same time, otherwise they'd be twins. One of them, however, is a citizen of the United States and the other is not. How could this be? And one did not give up her citizenship.

  15. 31a Graph line from slope & point Recall slope is Rise over Run Ex1. Graph the line that goes through the point (-3, – 2) and has slope

  16. 31b Graph line from slope & point Ex2. Graph the line that goes through the point (-4,1) and has slope

  17. 31c Graph line from slope & point Ex3. Graph the line that goes through the point (3,-1) and has slope

  18. Riddle A cowboy leaves on Sunday and returns on Sunday. He was only gone 5 days, how is this possible?

  19. 30a Find slopes from equations Remember y=mx+b ? What type of an equation was this? Slope-intercept What did the ‘m’ represent? Slope What did the ‘b’ represent? y-intercept To find the slope from an equation: Solve for ‘y’. ( Get y = ) Whatever is in front of the ‘x’ is the slope!

  20. 30b Find slopes from equations Ex1. What is the slope of the line 6x+3y=54? 6x+3y=54 3y=-6x+54 Subtract 6x from both sides y=-2x+18 Divide both sides by 3  Slope is -2 Ex2. What is the slope of the line y= x+6  Slope is

  21. 30c Find slopes from equations Ex3. Find slope of y+4=3(x-2) y+4=3x-6 y = 3x-10  The slope is 3

  22. Riddle What is so unusual about this sentence: Jackdaw loves my big sphinx of quartz. Jackdaw is a bird similar to a crow

  23. 29a Graph lines, SI form y=mx+b Graph by placing the point and then using slope for Rise over Run y-intercept Slope Ex1. Graph y=1/4x+2

  24. 29b Graph lines, SI form Ex2. Graph y=-x+4 Ex3. Graph f(x)=4x-3

  25. Riddle There is a new medical complex being built and Larry was hired to paint the numbers 1 to 100 on the doors. How manytimes will Larry paint the numeral nine?

  26. 28a Graph systems of equations -x+2y=-6 x+3y=-6 2y=x-6 3y=-x-6 y=-1/3x-2 y=1/2x-3

  27. 28b Graph systems of equations x+y=2 2x-y=-5 -y=-2x-5 y=-x+2 y=2x+5

  28. 28c Graph systems of equations y=2x+2 -6x+3y=12 3y=6x+12 y=2x+4

  29. 28d Graph systems of equations Test tomorrow on sections: 75 Simplify square roots74 Multiply and simplify square roots73 Use square roots to solve equations72 Graph Ordered Pairs71Graph a line from standard form70 Find slope from two points69 Graph lines from point and slope68 Find slopes from equations67 Graph lines, slope intercept form66 Graphing systems of equations

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