SOS Tutoring

SOS TutoringGrade Nine MathMPM1DWhats SOS?Students Offering SupportUniversity student run charityRaising money to build a school/community centre in Haiti

Who Are We?Jessye Nielsen, second year neuroscience and psychology student at U of TPhillip Ko MATH! What is it GOOD for?When/where will I ever have to use this again?!

ANYTIME AND EVERYWHERE! Major questions? What are you most worried about for your exam?Number Sense and AlgebraTopicsEvaluating algebraic expressionsExponent rulesSimplification of expressions with rational numbers and integersOperations using polynomials with two variablesMultiplying polynomials by monomials Expanding polynomials and simplifyingFirst degree equation solving with fractional coefficientsProblem-solving!Exponent RulesAddition MultiplicationDivisionPower of a Power

Practice QuestionsSimplificationBasic simplificationWith rational numbers and integersPolynomials!Two variable equations(Polynomial) x (monomial)Expansion and simplification

Fractional CoefficientsSimplificationProblem solving Any questions?Linear RelationsTopicsUnderstanding data (inferences, trends etc.)Tables of ValuesGraphingProperties of linear relationshipsy=mx+b

DataWhat does it mean?PatterningDescribing dataTable of valuesPattern findingSlope and intercepts

GraphingFrom raw dataFrom a table of values

Types of GraphsScatterplotsBar graphs

Y=MX+BM= slopeB= y-intercept(X,Y) is a point on the line

Slope and Y-InterceptSlopeRise/run=M(Y2-Y1)/(X2-X1)=MRequires two points on the line

Y-InterceptThe value of y when x=0Practice Questions!

ANY QUESTIONS?Applications with LinesDifferent equations of a lineRates of ChangeProblem-solvingWhat does it all mean?Different Equations of a LineAx+By+C=0X=AY=B

Rates of ChangeHow do we describe changes in the line?-speed-size etc.

Therefore a rate of change is equal to the ________!Other ApplicationsDistances

Practice questions Any QUESTIONS?GeometryPythagorean theoremMaximum areasMinimum perimetersSurface areasVolumesAnglesPythagorean TheoremA^2+B^2=C^2

ApplicationsMaximum AreasPerimeter is givenMethod: Constructing rectangles

Minimum PerimeterArea is givenMethod: Constructing rectanglesSurface AreaCubesPrismsSpheresCones

VolumesCubesPrismsSpheresConesAnglesTriangles-Isosceles -Equilateral-AcuteQuadrilateralsOther polygons SOHCAHTOASOHCAHTOA

ANY QUESTIONS?Exam TipsDo SLEEP.Dont cram hours and hours the night before.Do EAT.Dont panic.Do take your time.Dont waste time at the beginning struggling with questions. Do the ones you know first.GOOD LUCK!!