A bdeyah, bdeyah, bdeyah, that's all folks. Come in Monday or Tuesday afternoon if you want some help reviewing for your final - or better yet, come in together and study in my room! Here is a link to the Final Exam Study Guide - with markscheme that I handed out in class. You can also look back over previous tests and problem sets. I have summarized the main ideas below. Don't forget to turn in your textbooks on the day of the final (H&H, and Exeter 2 & 3). Good luck on your finals and have a wonderful summer. See you next year!
Mr. Alei
SL 1 Assignments: Week of 5/14/12
Wed 5/23: Math Final Exam 8:30-10am Big Room
Don't forget to have a copy of your Formula Sheet for your exam.
Some direction for your studying: Since we have recently worked on quadratics and binomials, these will not be stressed on the final. There are 10 problems, 6 without a calculator and 4 with a calculator. There is one problem that involves quadratics (multi-part), 2 involving vectors (one basic, one multi-part), two involving matrices, two involving sequences, one involving logs, one involving exponentials, and one involving your calculator. Below is a summary of the ideas that we covered in each area.
Vectors:
Find a vector between two points
Calculate the length of a vector (2D and 3D)
Scale a vector to a given length
Write a vector equation of a line
Find the intersection of two vector lines
Show that two vectors are perpendicular (or not)
Find the angle between two vectors (use the dot product)
Interpret a vector equation of a line as an object moving along a line
Find the speed of an object moving along a line described by a vector equation
Use the angle between two vectors to identify components of the vector (use the dot product)
Matrices:
Manipulate and solve a matrix equation
Multiply matrices
Find the inverse of a 2x2 matrix
Find the determinant of a 2x2 or a 3x3 matrix
Know what makes a matrix singular and what that means. Solve problems involving this idea.
Exponents and Logs:
Manipulate and simplify exponential and logarithmic expressions
Solve exponential and logarithmic equations
Work with exponential growth and decay functions
Find the log with a base other than 10 or e
Series:
Find the common ratio of a geometric sequence
Find a given term in a geometric sequence
Find the sum of an infinite geometric series
Find the common difference of an arithmetic sequence
Find a given term in an arithmetic sequence
Find information about an arithmetic sequence given terms and/or sums
Functions:
Compose two functions
Find the inverse of a function
Identify the domain and range of a function and its inverse
Translate a function in the x and y directions directly or by a given vector
Scale a function in the x and y directions
Recognize a reflection of a function over the x or the y axis
Quadratics:
Manipulate quadratic equations into different forms
Graph quadratic equations from different forms
Find quadratic equations from a graph
Understand the use of the discriminant
Graphing calculator:
Graph an unfamiliar function
Solve an unfamiliar equation by graphing both sides and finding intersections
Items of interest for download:
Overall Algebra/Functions Unit Plan (HW assignments).
Vector Practice
Vector Practice Set 2
Matrix Practice Problems
IB Functions Practice Problems
IB Series Practice Problems
IB Exponents & Logarithms Practice Problems
IB Transformation Practice Problems
IB Quadratic Practice Problems
IB Binomial Expansion Practice Problems
Class Notes - Ch 1: Functions
Class Notes - Ch 2: Sequences & Series
Class Notes - Ch 3: Exponentials
Class Notes - Ch 4: Logarithms
Class Notes - Ch 5: Transformations
Class Notes - Ch 6: Quadratics
Class Notes - Ch 7: Binomial Expansions
The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is assigned. It is always due on the following class meeting. SL text links below.
Updated 5/19/12 10:33 pm-----------Edline
