Foundations for College Mathematics – MAP4C

Course Prerequisite

Grade 11 Foundations for College Mathematics, College, or Grade 11 Functions and Applications, University/College

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  

Course Info

Course Outline & Units

Unit Order

Unit Name

Suggested Time

Unit 1

Data Management Working with Data

In this unit, students will learn how to:

  • -Collect, analyze, and summarize one-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data
  • -Distinguish situations requiring one-variable and two-variable data analysis

-Analyze the use and misuse of data in the media

12 hours
Unit 2

Data Management -Two-variable data analysis

In this unit, students will learn how to:

  • -Collect, analyze, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data
  • -Distinguish situations requiring one-variable and two-variable data analysis

-Analyze the use and misuse of data in the media

15 Hours
Unit 3

Exponentials

  • Solve exponential equations
  • Investigate the effects of changing parameters when investing in an annuity or a mortgage
23 hours
Unit 4

Personal Finance

  • Gather, interpret, and compare information about owning or renting accommodation
  • Prepare budgets based on possible wages connected to career choice and case studies
  • Collect data regarding career choice in a portfolio for use with culminating project
24 hours
Unit 5

Geometry

  • Understand the relationships between imperial and metric units
  • Consolidate understanding of perimeter, area, surface area, and volume through real-life problems

Explore optimization of two-dimensional and three-dimensional figures

13 hours
Unit 6

Trigonometry

  • Consolidate understanding of primary trigonometric ratios, sine and cosine laws for acute triangles, using imperial and/ or metric measure as appropriate
  • Extend understanding of primary trigonometric ratios to include obtuse angles

Solve problems using the sine or cosine laws for oblique triangles (non-ambiguous cases only)

14 hours
Final Evaluation 30%

Final Culminating Project: 

Prepare a presentation to showcase an occupation that makes use of the material in this course, to describe the education and training needed for the occupation, and to highlight a particulate use of mathematics in this course in the occupation.

Final Exam

7 hours

2 hours

Total 110 hours
Learning Strategies

A wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests and ability levels. These strategies include, but are not limited to:

·    Oral Presentation ·    Independent Study
·    Activity Learning Centers ·    Note Making
·    Discussion ·    Inquiry Process
·    Think Pair Share ·    Research Process
·    Lecture ·    Scientific Method
·    Socratic Lesson ·    Computer Assisted Instruction                         
·    Visual Stimuli ·    Media Presentation            
·    Worksheet ·     Brainstorming
Course FAQ
The course duration is 110 hours, delivered in an online school format. 
Grade 11 Foundations for College Mathematics, College, or Grade 11 Functions and Applications, University/College
The course fee is based on the selected option of Online Instructor-Class Credit For detailed information and pricing, please check our website.
Assessment & Resources

Purpose   

The primary purpose of assessment is to improve student learning. Assessment relates directly to the expectations for the course.

A variety of assessments for and as learning are conducted on a regular basis to allow ample opportunities for students to improve and ultimately demonstrate their full range of learning and for the teacher to gather information to provide feedback. Assessment tasks relate to the success criteria set out in lesson plans. Success criteria allow students to see what quality looks like.

Evaluation is the process of judging the quality of student work in relation to the achievement chart categories and criteria and assigning a percentage grade to represent that quality. Evaluation is based on gathering evidence of student achievement through:

  • Products
  • Observations
  • Conversations

Assessment for Learning – we provide feedback and coaching. Assessment FOR Learning is the process of seeking and interpreting evidence for the use of learners and their teachers to decide where the learners are in their learning, where they need to go, and how best to go there.

Assessment as Learning – we help students monitor progress, set goals, reflect on their learning

Assessment AS Learning is the process of the explicit fostering of students’ capacity over time to be their own best assessors, but teachers need to start by presenting and modeling external, structured opportunities for students to assess themselves.

Assessment of Learning – we use assessments to provide evaluative statements about student achievement. Assessment OF Learning is the assessment that becomes public and results in statements of symbols

(marks/grades/levels of achievement) about how well students are learning. It often contributes to pivotal decisions that will affect students’ future.

ASSESSMENT TOOLS  

Units Duration Overall Expectations AFL AAL AOL K

25%

I

25%

C

20%

A

30%

A 25 hours A1-A3 Student-Teacher Conferencing

Homework

 

Peer Assessment   Presentation
 

 

70%

B 25 hours B1-B3 Worksheet

Class Discussion

Homework

 

KWL Chart Unit Test

Class Discussion

C 30 hours C1-C3 Worksheet

Pair Discussion

Homework

 

Learning Log  

Unit Test

Written Assignment

D 30 hours D1-D2 Homework

Student – Teacher Conferencing

Reflective Discussion Unit Test

Portfolio Assignment

30% A1-D2  

and Final Exam 30% (Written Component)

 

 

 

 

Resources 

  • Growing Success: Assessment, Evaluation and Reporting in Ontario Schools(2010)
  • http://www.edu.gov.on.ca/eng/policyfunding/growSuccess.pdf  
  • Erdman, W., et al. Foundations for College Mathematics 12. McGraw-Hill Ryerson, 2010. *
  • Coene, C., et al. Foundations for College Mathematics 12. Pearson Education Canada Inc., 2009.
  • MAP 4C: Foundations for College Mathematics, College Preparation, and Draft (created Summer 2007).
  • Learning for All A Guide to Effective Assessment and Instruction for All Students, Kindergarten to Grade 12 (2013)
Course Final Grade & Report Card

Grading  

  • The final grade is based on performance in 3 areas: products, observations, conversations.
  • 70% of the grade is based on evaluations conducted throughout the course.
  • 30% is based on a final evaluation.

Weighting of categories 

Knowledge/Understanding  Thinking/Inquiry  Communication  Application 
25%  25%  25%  25% 
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Course Grade

Grade 12

Course Code

MAP4C

Course Category

Mathematics

Course Type

College Preparation

Course Delivery

Online

Course Duration

110h

Course Credit

1.00
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