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Grade 9 Math in review… Represent each outcome in each chapter with an explanation and/or diagram and an example to support it. Look in your text book, notes, assignments, quizzes, tests, etc. Remember all chapters have problem solving that will also be a part of the final assessment. Chapter 1: Number Sense Chapter 2: Patterns and Relations Chapter 3: Equations and Inequalities Chapter 5: Measurement Chapter 6: Geometry Chapter 7: Polynomials Chapter 8: Data Management All 4 operations with integers (rules)(add, subtract, multiply, divide) Table of values Solve equations by doing opposite operations Perimeter Represent Expressions Using Algebra Tiles BEDMAS with integers, fractions and exponents Finding the y = mx + b (pattern) from a table of values Solve equations with variables on both sides of the equal sign Pythagorean Relationship Scatterplots and drawing the line of best fit and finding its equation Interpret data from a given graph Powers, base,exponents Plot ordered pairs on a Cartesian grid Solve equations with brackets Surface area of 3-D shapes Developing and using mapping notation to describe transformations Know all properties of transformations (similarities and differences) Properly name the pre-image and the image to describe corresponding parts 6 laws of exponents Make a table of values and plot data Solve equations with fractions need to find common denominator Volume of 3-D shapes Scientific Notation Linear = straight exponential= curve Verify solution by substitution 3-D shapes studied: Prisms, pyramids, spheres, cones, cylinders Square Roots Slope of line (rise/run) vertical change over horizontal change Represent an inequality on a number line List of real numbers (natural, whole, integers, rational, irrational) Writing equations of a line from its graph (y-intercept + slope) Solve inequalities (multiply or divide by a negative number means to reverse sign) Number lines Graphs and slopes of horizontal and vertical lines Finding the solution of 2 lines Greatest common factor Graphs and equations of parallel and perpendicular lines Substitution (when x = -5) All rules for adding, subtracting, multiplying and dividing rational numbers Adding, subtracting and multiplying matrices of the same dimensions. Describe the minimum sufficient conditions to confirm a transformation The 3 postulates for similar triangles Use proportions to solve for missing side lengths of similar triangles The zero principle Polynomial vocabulary (term, numerical coefficient, literal coefficient, monomial, binomial, trinomial) Add polynomials Subtract polynomials (add the opposite, brackets) Multiply polynomials (distributive property) Divide polynomials Factoring polynomials Display data from a story in the form of a graph