Transformations on the Coordinate Grid

We have discussed three basic transformations on the coordinate grid.

• Translation - (slide) every point moves the same distance in the same direction.  To translate points of a figure simply add the number of spaces moved horizontally to the x value and the number of spaces moved vertically to the y value.
• Reflection - (flip) figures can be flipped horizontally or vertically at any point or can be flipped across an axis.  If you reflect figure across the x axis, change the y values in each point to their opposite to create reflected points.
• Rotation - (turn) the figure is turned around a single point.  You describe the rotation in degrees either counter-clockwise or clockwise

Use this site to develop your understanding of transformations.  Their are different levels you can choose as you get more comfortable with the concepts.

Key Transformations on the Coordinate Graph

Online Plotting Practice and Games

Use the following sites to practice your plotting.

http://www.mathsisfun.com/data/cartesian-coordinates-interactive.html

Find the Aliens

http://www.mathplayground.com/locate_aliens.html

Looking for the Top Quark (similar to Battleship)

http://education.jlab.org/topquarkgame/index.html

The Coordinate Graph

Vocabulary to know:

• Ordered Pair or Coordinate - this is a point on the coordinate graph designated by a value of  x (horizontal) and a value of y (vertical).  They are always ordered alphabetically (x,y)
• Quadrant - one of four sections on the coordinate plane created by the intersection of the x and y axis.  Quadrant I is the section where both the x and y are positive.  We go counter clockwise to name the remaining three quadrants.
• Origin - (0,0) on the coordinate graph.  This is the point where the x axis crosses the y axis.
• x-axis - horizontal number line
• y- axis - vertical number line

image from www.math.com

New Jobs Are Here! (Period 1& 2)

Job List Marking Period 2 Period 1_2 2011-2012

New Jobs Are Here! (Period 5& 6)

Job List Marking Period 2 Period 5_6 2011-2012

New Jobs Are Here! (Period 8& 9)

Job List Marking Period 2 Period 8_9 2011-2012

Finding Percentages for Data on a Table

Here is a question that is similar to one you will see on future assessments.  The key to these types of questions is determining the whole.  You need to determine the total to find the percentage of the part.  For example, to complete number 1 below, you need to add the number of boys (85) and the number of girls (65) to determine the total number of people who prefer tacos.  To find the percentage of boys who like tacos create the fraction 85/150, then convert to a decimal to easily convert to a percent.  I would recommending reducing the fraction first to 17/30 to make the division easier when converting the fraction to a decimal.

Benchmarks

Remember in class I mentioned that it is really helpful to have a few fractions and decimal equivalents memorized.  Having a handful of these memorized will help you with your fluency to convert among the various forms of a number.

Take a look at the following tables.  Look for patterns.  You might notice that you don't have to memorize the whole table but only one fraction for a given denominator.  For example, if you know that every eighth is equal to 0.125, you can determine 3/8 by adding 0.125 to itself three times.

Notice that the ninths are missing from both tables.  Just remember that the numerator is the decimal repeated.  So 4/9 is equal to .4444...