MAP4C
Foundations for College Mathematics | Grade 12 | MAP4C
COURSE DESCRIPTION
This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.
PREREQUISITE
Foundations for College Mathematics, Grade 11, College Preparation, or Functions and Applications, Grade 11, University/College Preparation
OVERALL EXPECTATIONS
By the end of the course, students will…
- evaluate powers with rational exponents, simplify algebraic expressions involving exponents, and solve problems involving exponential equations graphically and using common bases;
- describe trends based on the interpretation of graphs, compare graphs using initial conditions and rates of change, and solve problems by modelling relationships graphically and algebraically;
- make connections between formulas and linear, quadratic, and exponential relations, solve problems using formulas arising from real-world applications, and describe applications of mathematical modelling in various occupations.
- demonstrate an understanding of annuities, including mortgages, and solve related problems using technology;
- gather, interpret, and compare information about owning or renting accommodation, and solve problems involving the associated costs;
- design, justify, and adjust budgets for individuals and families described in case studies, and describe applications of the mathematics of personal finance.
- solve problems involving measurement and geometry and arising from real-world applications;
- explain the significance of optimal dimensions in real-world applications, and determine optimal dimensions of two-dimensional shapes and three-dimensional figures;
- solve problems using primary trigonometric ratios of acute and obtuse angles, the sine law, and the cosine law, including problems arising from real-world applications, and describe applications of trigonometry in various occupations.
- collect, analyse, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data;
- demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.
UNITS
Unit 1 | Mathematical Models | 30 hours
Unit 2 | Personal Finance | 25 hours
Unit 3 | Geometry & Trigonometry | 25 hours
Unit 4 | Data Management | 20 hours
Unit 5 | Summative Evaluation | 10 hours
Total | 110 hours
ASSESSMENT
Assessment is based on The Achievement Chart for Mathematics and is weighted as follows:
Knowledge & Understanding 15%
Thinking & Inquiry 20%
Communication 15%
Application 20%
Total 70%
FINAL EVALUATION
The remaining 30% of the final mark is allotted to the final evaluation, as follows:
Summative Activity 10%
Final Examination 20%
LATE ASSIGNMENT POLICY
All assignments are expected to be submitted on or before the due date. Should this not be possible due to extenuating circumstances, students should speak to me and an extension may be granted. If assignments are not handed in, students can expect to be assigned a supervised time to finish their work. This may include lunch hours, before/after school, study halls, etc.
ABSENCES
Due to the highly participatory nature of this course, attendance is important to achieving success. Students who are absent are responsible for all notes, class work and assignments missed. Students absent for tests, presentations or other evaluations will complete the evaluation at the earliest opportunity.
RESOURCES
Students should come to class prepared with:
- Foundations for College Mathematics 12 text
- A binder with dividers (one for each unit)
- An adequate supply of paper
- Pens/pencils
- Laptop computers are welcome, providing you are using them for academic purposes (note taking, assignments, etc). Personal music devices (iPods, etc) may only be used during independent work times and should not be used during lessons, discussions or group work.
RESPECT FOR EQUIPMENT
Students are expected to treat all equipment with respect. Treat everything as if it were your own. Specifically in the APS classroom, this includes, but is not limited to:
- Handling books and other resources with care & not writing in them
- Returning borrowed materials in the condition they were lent
- Helping to keep our classroom environment clean
- Not touching the projector or my laptop unless specifically invited to do so
ACADEMIC HONESTY
Academic honesty is paramount to student success. Plagiarism is a serious academic offence. Simply put, plagiarism is any use of another person’s research, ideas or language without properly acknowledging the original source.
Students guilty of flagrant plagiarism on individual assignments, papers/projects or cheating on tests/exams will be reported to the Principal, automatically withdraw themselves from a course of study (suspension), will receive a grade of zero on the item in question, may lose credit in a course of study and/or be expelled from school.
A system of honour and personal integrity is the basis for Christian education at Great Lakes and for a Christian presence in the wider world.
EXTRA HELP
Students wishing to improve their understanding of the course material, expectations, etc, are encouraged to seek extra help. I am available at lunch and after school until 4 pm on a drop-in basis. I can be available before school on an appointment basis.
