Download MYP 10 Mathematics End of Year Review Topics

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Transcript
MYP 10 Mathematics
Semester 1 & 2 Exam Review Topics
This review list includes topics from the whole year and although the final exam will concentrate
on semester two topics, there will be questions from all of the semester one topics included in the
final year exam therefore students must review all the topics on this list. To help, the semester
two topics are in bold. A good use of your time would be to do the Review exercises at the end
of each chapter and the Cumulative Review also located at the end of every chapter.
Topic
Details
I have
reviewed
and
understand
Number Sequences
Chapter 1
Arithmetic Sequences and Series
tn  a   n 1 d
n
 2a   n  1 d 
2
OR
( a  tn )
Sn 
n
2
Sn 
Geometric Sequences and Series
tn  ar n 1
Sn 
Real Numbers
Chapter 2
Radicals
a(1  r n )
1 r
OR
Sn 
a(r n  1)
r 1
Adding and subtracting radicals
Multiplying radicals
Dividing radicals
The Laws of Exponents
Applications of radicals
The Pythagorean Theorem
Number
Irrational Numbers
Rounding: Significant digits
Special Triangles
Relating sides of special 30,60,90 triangles
Combined operations with radicals
Coordinate Geometry
Chapter 3 & 4
Straight Lines
Slope, Gradient Formula
Parallel and Perpendicular Lines Facts
The Pythagorean Theorem
Solving Equations
The Cartesian Plane
Distance Between Two Points Formula
Mid-Point Formula
y  mx  b
y  m x  p  q
Ax  By  C  0
Does a point lie on the line?
Properties of Quadrilaterals
Trigonometry
Chapter 8
Sine Ratio
Cosine Ratio
Tangent Ratio
Right Triangles
Sine Rule
Cosine Rule
Non Right Triangles
Probability & Statistics
Worksheets
Mean
Median
Mode
Frequency Tables
Cumulative Frequency
Simple Probability
Possibility Space Diagrams
Exclusive and Independent Events
Tree Diagrams
Polynomials
Chapter 6
Measurement Formulas
Multiplying and Dividing Monomials
Adding and Subtracting Polynomials
Factoring Trinomials
Factoring Difference of Squares
Solving Quadratics