MATH 226 Final Exam Review Competency 2 Theory Exam (21% of final mark) – Tuesday, June 12th, 2018 @ 9:00 AM – 12:00 PM (Multi. Choice: Six, 4-mark Q’s =24%. Short Ans: Four, 4-mark Q’s =16%. Long Ans: 6, 10mark Q’s =60%) Competency 1 Situational Exam (9% of final mark) – Friday, June 15th, 2018 @ 9:00 – 11:00 AM Resources:
Class website (mrgraysymmes.weebly.com), MAT226 Student Files (http://goo.gl/cpfxBj), Mission notes/worksheets, practice exams, corrected tests/situationals, Khan Academy
Required Materials for exam: 1-page, 2-sided Memory Aid (hand-written on the provided blue 8.5”x11” paper), pencils (NO work in pen), erasers, scientific calculator, highlighters, full geometry set with ruler, set squares, protractor, and compass. ***You MUST bring EACH item listed here! There will be no supplies provided/shared during the exam.*** Mission 10: Modes of Representation § Tables of values & rules § Plotting & reading coordinates on a Cartesian Plane § Understanding scenarios represented with graphs Mission 11: Rate, Ratios, & Proportion § Ratios o Part-to-Whole & Part-to-Part (turning Part:Part to fraction of total to find amounts) § Rates & unit rates: being able to compare rates of different units § Proportions o Proportional situations & graphs o Finding the missing term in a proportion § Representing situations with ratios, rates, and proportions & solving proportional situations § Dilatations: finding scale factor and drawling enlargements & reductions of shapes Mission 12: Percent (%) § Converting fractions-decimals-percentages § Finding percentage from a part of a whole, finding percent of a number, and finding the quantity equal to 100% § Percentage scenarios o Sales & discounts o Tax o Commission o Interest (& principal): Interest = Principal X Rate (per year as decimal) X Time (in years) Mission 13: Circles § Parts of a circle: circle, disc, chord, radius, diameter, circumference, central angle, arc, sector § Constructing circles § Find radius (r), diameter (d), circumference (C), arc length, area (A), sector area, central angle § Working backwards from area to find other measurements Mission 14: Polygons § Identifying polygons o regular vs irregular, convex vs concave (*regular hexagon made up 6 equilateral triangles) § Constructing a polygon (free standing & inscribed within a circle) § Diagonals, interior angles (individual & sum), and exterior angles (sum always equals 360°) § Calculating perimeter (P) & working backwards to find side lengths or number of sides § Area of regular polygons & complex shapes (decomposable, inscribed, or featuring circles)
Mission 15: Surface Area § Solids: cube, rectangular prism, triangular prism, pyramids (square-based & triangular-based), cylinders § Drawing a net of a solid § Calculating surface area of solids & decomposable solids § Finding dimensions from a given surface area Mission 16: Algebra § Identifying algebraic components o Terms (like vs. unlike) o Variables (x) o Coefficients (*no # in front is the same as a value of 1. Can be + or – & whole/decimals/fractions) o Constants (#’s) § Translation of word problems into expressions and equations o List of key words that indicate particular operations § *Remember “2 less than a number” means x – 2 NOT 2 – x § Rearranging to bring like terms together (use colours/shapes to identify & group like terms) § Simplifying through collecting like terms o Rules for dropping brackets for addition & subtraction (turns ALL signs inside to opposite) o Rules for multiplying terms outside & inside of brackets (the double rainbow!) § Solving & validating Type 1 –> 5 equations o Want to simplify to “x = …” o Variables (x) to the LEFT, constants (#’s) to the RIGHT when possible o Simplify by performing the opposite operation underneath (*Remember the GOLDEN RULE: whatever you do to one side, you MUST do to the other) o Move constants first, then variables. Move + & - first, then take care of x & ÷ (attached to variable) o SHOW ALL YOUR WORK! Line up equal signs, work vertically, show all opposite operations. § Substitution (“plugging in”) to evaluate expressions & solve/validate equations § Solving algebra word problems: age, quantities, money, coins, geometry problems (expressions/equations to find perimeter/area), etc. o 1) Determine your unknown to represent with the variable. 2) Make expressions for other parts of problem. 3) Setup your equation. 4) Solve for unknown. 5) Determine values of all parts & validate. Mission 17: Probability § Random experiments (a fair game) o Simple (one step) vs compound (multiple steps) § Dependent vs independent steps • With vs without replacement o Identifying & listing possible outcomes § Set of all possible outcomes (ex. Ω = {1, 2, 3, 4, 5, 6}) § Tree diagrams & tables § Multiplication & Addition Rules § Events o Compatible vs incompatible (impossible) o Complementary events § Probability o calculating, writing (fraction/percentage/decimal), & reading o likelihood of an event (impossible, possible, certain) o scenarios: coins, dice, spinners, cards, marbles, etc. *Set out regularly scheduled blocks of time to study for the math exams between now and June 12. *Communicate with your teachers early and often as you are reviewing. Go to Math Help & Tutorial Day! *Do not just read your notes. SOLVE & CORRECT practice exams and problems & USE your Memory Aid. *Hard work now will pay off later!*
