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SOS Tutoring. Grade Nine Math MPM1D. What’s SOS?. Students Offering Support University student run charity Raising money to build a school/community centre in Haiti . Who Are We?. Jessye Nielsen, second year neuroscience and psychology student at U of T Phillip Ko.
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SOS Tutoring Grade Nine Math MPM1D
What’s SOS? • Students Offering Support • University student run charity • Raising money to build a school/community centre in Haiti
Who Are We? • Jessye Nielsen, second year neuroscience and psychology student at U of T • Phillip 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 Algebra Topics • Evaluating algebraic expressions • Exponent rules • Simplification of expressions with rational numbers and integers • Operations using polynomials with two variables • Multiplying polynomials by monomials • Expanding polynomials and simplifying • First degree equation solving with fractional coefficients • Problem-solving!
Exponent Rules • Addition • Multiplication • Division • Power of a Power Practice Questions
Simplification • Basic simplification • With rational numbers and integers
Polynomials! • Two variable equations • (Polynomial) x (monomial) • Expansion and simplification
Fractional Coefficients • Simplification • Problem solving
Linear Relations Topics • Understanding data (inferences, trends etc.) • Tables of Values • Graphing • Properties of linear relationships • y=mx+b
Data • What does it mean? • Patterning • Describing data
Table of values • Pattern finding • Slope and intercepts
Graphing • From raw data • From a table of values Types of Graphs • Scatterplots • Bar graphs
Y=MX+B • M= slope • B= y-intercept • (X,Y) is a point on the line
Slope and Y-Intercept Slope • Rise/run=M • (Y2-Y1)/(X2-X1)=M Requires two points on the line Y-Intercept • The value of y when x=0 Practice Questions!
Applications with Lines • Different equations of a line • Rates of Change • Problem-solving • What does it all mean?
Different Equations of a Line • Ax+By+C=0 • X=A • Y=B
Rates of Change • How do we describe changes in the line? -speed -size etc. • Therefore a rate of change is equal to the ________!
Other Applications • Distances Practice questions
Geometry • Pythagorean theorem • Maximum areas • Minimum perimeters • Surface areas • Volumes • Angles
Pythagorean Theorem • A^2+B^2=C^2 • Applications
Maximum Areas • Perimeter is given • Method: Constructing rectangles
Minimum Perimeter • Area is given • Method: Constructing rectangles
Surface Area • Cubes • Prisms • Spheres • Cones
Volumes • Cubes • Prisms • Spheres • Cones
Angles • Triangles -Isosceles -Equilateral -Acute • Quadrilaterals • Other polygons
SOHCAHTOA • SOH • CAH • TOA
Exam Tips • Do SLEEP. • Don’t cram hours and hours the night before. • Do EAT. • Don’t panic. • Do take your time. • Don’t waste time at the beginning struggling with questions. Do the ones you know first.