Download
1 / 34
340 likes | 474 Vues
Join our tutoring sessions designed for Grade 9 students tackling the MPM1D curriculum. Led by passionate university student volunteers, we focus on key math topics such as algebra, geometry, and linear relations. Our charity, SOS Tutoring, is dedicated to raising funds to build a school/community center in Haiti. We're committed to building your confidence and skills in math with engaging problem-solving activities and exam tips. Get involved and excel in your studies while supporting a great cause!
E N D
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.
