Integrated Mathematics 3

This course is run through a google classroom. On that platform all of the lessons are posted, and as needed review guides, calendars, and any other necessary resources will be added. For parents, if you wish to have access to the google classroom, simply e-mail me (at edunham@cacegypt.org) and indicate which class you would like to join, and I will send you the link.

Students, use this link below to go to the google classroom.

Mr. Dunham's IM3 Class

Course Overview

Integrated Mathematics 3 is a continuation of Integrated Mathematics 2. Students that come into the high school as 9th graders typically take IM2, which means that for most 10th grade students this is the course they take. This course is similar to the American "Algebra 2" course in that it's focus is on functions and algebra. Unlike Algebra 2 however, this course also covers some probability, statistics, and trigonometry. The reason for this is that IM3 is a course designed to prepare students for any level of IB mathematics in their 11th grade year. For stronger students there are optional extension questions scattered throughout the IM3 lessons, these are not assessed, but for students that are pursuing higher level IB mathematics it is expected that they complete these questions. IM3 is an excellent foundation of mathematics for any student, and it well-prepares them for whatever course they will encounter in 11th grade, whether that is IB SLAA, IB SLAI, IB HLAA, or whatever course they might take at another school.

Syllabus

IM3 is broken into six units across two semesters. Within each unit students are expected to complete a series of Problem Sets. This forms the foundation of the course. We do not use a textbook explicitly in this course, but they are available to check-out if a student or parent would like to have one.

Unit 1: Linear Functions

Students will build upon their understanding of linear functions from IM2. Forms of lines, gradient, function form, function notation, function inverses both graphically and algebraically. They will learn to solve systems of equations with and without technology, as well as use the idea of domain restrictions to answer questions about linear inequalities.

Unit 2: Exponential Functions

In this unit students learn about exponential growth and decay with an emphasis on applications to finance and population change. Using technology to find regression lines, and intersections between exponential and linear functions.

Unit 3: Trigonometry

Students will build on their understanding of right-triangle trigonometry, soh-cah-toa, and angle of elevation and depression. In addition to that students will be introduced to the sine law and cosine law. Finally students will start working with algebraic trigonometry, sinusoidal functions and trigonometric identities.

Unit 4: Quadratic Functions

Students will further their understanding of algebra using quadratic equations. Understanding the different forms of a quadratic equation, factoring, using the vertex-form to find inverse equations, and using the quadratic formula to solve equations.

Unit 5: Polynomial and Rational Functions

Students will work with higher-order polynomials. They will learn about function analysis, focused on increasing and decreasing domains, and also basic function division through the use of synthetic division. They will also be introduced to linear-over-linear rational functions.

Unit 6: Statistics and Probability.

Students will develop basic probably skills through the use of Venn diagrams and tree diagrams. Counting, order, independent vs. dependent events and conditional probability. Then students will build on IM2 to further understand statistical analysis through measures of center (mean, median, mode) and measures of spread (range, standard deviation, variance). They will be introduced to the standard normal distribution.

Class Expectations

WHAT TO EXPECT IN CLASS

Lessons are predominantly modeled upon a student directed discussion based format. Usually, the discussions are led and directed by individual students or small groups of students as they work through the examples and problems that have been prepared and compiled for each lesson. Students are expected to engage with the problem sets collaboratively, supporting each other as they are able and receiving help and instruction from the teacher as needed. The solutions to all problems will eventually be presented on the board during class.

WHAT TO EXPECT FROM THE PROBLEM SETS

The teacher will prepare sets of questions which form the core material of this class. Some questions are meant for review, some are meant for extension of current skills, and some for the introduction of new concepts or skills.

WHAT TO EXPECT FROM THE TEACHER

The teacher will usually circulate around the room, listening to students as they develop solutions. The teacher may interject ideas, or engage in conversations to guide students. Additionally the teacher will sometimes pull the class together and go over topics explicitly on the board. The teacher’s job is to ensure that the students are receiving a good education, and that requires a blend of conversation, instruction and observation.

WHAT IS EXPECTED OF STUDENTS

Students are expected to participate in the exchange of ideas during class. This is essential for the development of the concepts and skills during the lesson. So during the classwork students should not be disruptive or off-task. Doing so only harms the student’s ability to learn.

REGARDING HOMEWORK

Feel free to collaborate with your peers, but make sure your work is your own.
Clearly label each assignment, and clearly number each question within an assignment. Failure to do so may result in assignments not being accepted.
There are no answer keys, but all the questions are presented on the boards during class. Students are expected to take that opportunity to make any necessary corrections.
Homework will be checked about once a week. Late assignments will impact a student’s participation grade.

REGARDING EXAMS

For Integrated Math courses, each text will cover the material from that unit, and the semester finals will cover the material from that semester. For the IB courses the content is cumulative, meaning any material from past and present problem sets can be assessed. Students will be given some advance notice about some of the topics or concepts of emphasis on upcoming assessments.
Students ARE STRONGLY ENCOURAGED TO BE current on ALL lesson notes and ALL homework assignments and other class assignments that were presented in our current unit.
Test Reflection and Correction initiative. After a major assessment students are expected to complete test corrections wherein they redo whichever questions they got wrong on the assessment and turn that work in as an assignment.

REGARDING ATTENDANCE

TESTS: If you are absent for a test, your parents will email me (as well as the school - HS Office) that morning. You will write a make-up test on the day of your return. Failure to comply: this qualifies as an unexcused absence and will result in a 0% score on the test and NO retake. If you are going to miss a test due to extracurricular activities, inform me prior to the activity.
LESSONS: You are required to do the lesson on your own at home (seeing that they are posted on this site and since you have a textbook)! All assigned class work & homework MUST be completed (seeing that it is posted on this site and since you have a textbook). If you have questions, ask your classmates or email me
HOMEWORK: You will submit your homework from the previous lessons and/or from the lesson(s) you missed.
Students who will be legitimately absent for a prolonged period of time should notify me in advance of the absenteeism and obtain an outline of the topics and a list of pages that will be studied (i.e. sports, family issues, etc....)
Exceptions will be made on an individual basis for legitimate affairs like family emergencies etc....

REGARDING TECHNOLOGY

You are strongly encouraged to bring a laptop or tablet to class. The expectation is that technology use is limited to relevant class activities.
Phone use is not permitted in class for any reason, especially not as a calculator.
All students are expected to have a GDC (graphic display calculator) in class with them every day. We mainly use the TI-84 model, but any GDC is acceptable.

EXTRA HELP

I will make myself available to you at any mutually agreed upon time. My free periods are Blocks D, E and F. I usually arrive to my class at 7:30 am and remain at school after classes, usually until 5:00pm. Additionally, I am available most lunch period sand during break time.

WHERE TO FIND ME

I will usually be in CLASSROOM MS327.