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Grade Nine Mathematics Exam Outline: June 2008 Chapters 2, 3, 6, & 8 Chapter 2: Patterns and Relations 1. Representing Patterns in a Varity of Forms - finding the nth term - Completing table of values - plotting points (ordered pairs) on a grid - plot points from a table of values - identify the coordinates of an ordered pair - making a Cartesian Grid and identify the quadrants - interpreting data through graphs, tables, equations and words. - create a set of ordered pairs from a table of values 2. Interpreting Linear and Non-Linear Relations: - Identifying linear, exponential and quadratic relations through tables and graphs with justification from first differences.(a reason) - Know the definition of terms 3. Discovering Slope: - Determine the slope of a line from a graphs - Find the slope of a line connecting a pair of points - Draw a line through a point if given the slope - What is slope? - Definitions - Negative and positive slope 4. The Equation of a Line: y = mx + b - Find the equation of a line from a graph - Find the equation of a line from a table of values - Be able to create a table of values from an equation of a line - Find the slope, y-intercept and x-intercept - Graph a line using the equation of a line - Definitions 5. Graphing Horizontal and Vertical lines (x-axis, y-axis) Chapter 3: Set Notation and Inequalities 1. Writing set notation from words and graphically. 2. Describe set notation in words. 3. Be able to graph set notation on a number line. 4. Solve, verify and graph inequalities. 5. Set up and solve inequalities from word problems. Chapter (6) Geometry Geometric Definitions: point, path, line segment, ray, line, Angles: acute, obtuse, straight, reflex, right, adjacent, opposite, supplementary, and complimentary. Triangles: Equilateral, Isosceles, Scalene, Acute Triangle, Obtuse Triangle, Right Triangle. Lines that Intersect: angles formed--- Alternate Interior opposite, exterior opposite, corresponding, supplementary. Triangles: Unique Congruent Similar know proofs (sss,asa,sas,aas) know proofs (sss,asa,sas,aas) know proofs (aa, a + 2 proportional sides, or 3 proportional sides) Transformational Geometry Cartesian coordinate System Translations: Properties and Mapping Rules Reflections: Properties and Mapping Rules Dilations: Properties and Mapping Rules Rotations: Properties only Ratio and Proportion Chapter (8) Scatterplots Line of best fit Finding the equation of the line of best fit Slope and y-intercept Data interpretation Identifying the relationship between two variables Identifying the correlation between data (strong/weak, positive/negative) Making predictions using the line of best fit Interpolate and extrapolate to find both independent and dependent coordinate Evaluating the reliability of the data Definitions (all definitions are in your scribbler or in the back of your book) **** Any and all definitions that have been mentioned in class on the topics above could be added to this list. x-intercept linear equation slope ratio Obtuse angle Acute angle Reflex angle Complimentary angle Adjacent angles Vertex Translation Rotation Isosceles Similar Transversal Continuous Data Dependent Variable Orientation Parabola Perpendicular Lines Radius Congruent y-intercept variable line of best fit Proportion Obtuse triangle Acute triangle Straight angle Supplementary angle Congruent Dilatation Reflection Ray Scalene Trapezoid Equilateral Correlation Discrete data Origin Pentagon Polygon Transversal Similar