GED39 - The GED Mathematics Test Special Topics in Algebra...

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1 The GED Mathematics Test Special Topics in Algebra and Geometry Margaret A. Rogers, M.A. ABE/GED Teacher Adult School Administrator Education Consultant California Distance Learning Project
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2 GED Video Partner Passing the GED Math Test Life is like an ever-shifting kaleidoscope- -- a slight change and all patterns alter. Sharon Salzberg Video 39 Focus: how you use patterns and coordinate grids in math and life. You Will Learn From Video 39: ! How to use patterns to solve problems. ! How to locate points on a coordinate grid. ! How to plot points on a coordinate grid. ! That solution sets can be displayed on the coordinate plane. ! How to find the slope of a line. Words You Need to Know: While viewing the video, put the letter of the meaning by the correct vocabulary word. Answers are on page 20. _____1. pattern a. the point on a coordinate grid plotted at (0, 0) _____2. ordered pair b. steepness or angle of a line _____3. origin c. basic units or shapes that repeat themselves _____4. axes d. pair of coordinates to plot _____5. slope a point (x, y) e. horizontal and vertical lines that form the coordinate plane grid Points to Remember: The ability to recognize patterns is a math skill. Look for patterns among solutions to help see the big picture. Understanding the coordinate plane is important for algebra, geometry, and the GED Math Test. Graphing solution sets to equations gives you a picture. #39
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3 Introduction to Special Topics in Algebra and Geometry There are some special topics in algebra and geometry that are tested on the GED Math Test. These topics include patterns, the coordinate plane, and slope of the line. A pattern is a concept that repeats systematically. It can be linear or spatial, simple or complex, artistic or mechanical. Patterns frequently occur in mathematics. They also occur in nature. Looking for patterns can often help to solve problems in math and in life as well. For example, if someone is habitually late, that pattern can cause problems for family and work. Breaking the pattern of lateness and becoming more punctual will help the person succeed. The coordinate plane is used in both algebra and geometry. Coordinate geometry is tested on the GED Math Test. The coordinate plane is a flat surface divided by a horizontal number line and a vertical number line in order to form four quadrants, or sections. The number lines intersect at the point of origin (0, 0). The four quadrants are numbered with Roman numerals starting with the top right side and progressing clockwise. 10 9 8 7 IV 6 I 5 4 3 2 1 origin (0,0) -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 III -6 II -7 -8 -9 -10 The slope of a line is the measure of its steepness or incline. The formula to find the slope of a line is found on the formula page of the GED Math Test. You may have to compute the slope of a line that is formed by points plotted on the coordinate plane.
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