AFNORTH International School

Canadian Section

Course Outline

 

MFM1P

Foundations of Mathematics Grade 9, Applied

 

Course Description:

 

This course enables students to develop an understanding of mathematical concepts related to

introductory algebra, proportional reasoning, and measurement and geometry through investigation,

the effective use of technology, and hands-on activities. Students will investigate

real-life examples to develop various representations of linear relations, and will determine

the connections between the representations. They will also explore certain relationships that

emerge from the measurement of three-dimensional figures and two-dimensional shapes.

Students will consolidate their mathematical skills as they solve problems and communicate

their thinking.

 

9           

 
Grade  11                                                                                                                                                     

Foundations of Mathematics

Grade 9, Applied
 

MFM1P
 
 


                                   

 

1.0                       

 

The Ontario Curriculum

Grades 9 and 10

Mathematics, 2005 (revised)
 
 


Credit Value:              Ontario Ministry of

                                                                Education Document(s):                                                                                                                                          

 

 

 

 

 

Mathematics, Grade 8

 
 

N/A
 
 


Prerequisite(s):                                                             Corequisite(s):

 

 

 

Mathematics
 
 


DND/DoDDS
 
                                                                                    Department:

 

AFNORTH International School
 

 
 
                                                                                   

Dept. Head:

 

 

 

 
 
 


Developer(s):    

 

May 2007
 

May 2007
 
 


Development Date:                                                               Revision Date:

 

 

Overall Expectations:

By the end of this course, students will:

 

·               develop, select, apply, and compare a variety of problem-solving strategies as they pose and solve problems and conduct investigations, to help deepen their mathematical understanding;

·               develop and apply reasoning skills (e.g., recognition of relationships, generalization through inductive reasoning, use of counter-examples) to make mathematical conjectures, assess conjectures, and justify conclusions, and plan and construct organized mathematical arguments;

·               demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by assessing the effectiveness of strategies and processes used, by proposing alternative approaches, by judging the reasonableness of results, by verifying solutions);

·               select and use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to investigate mathematical ideas and to solve problems;

·               make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts (e.g., other curriculum areas, daily life, current events, art and culture, sports);

·               create a variety of representations of mathematical ideas (e.g., numeric, geometric, algebraic, graphical, pictorial representations; onscreen dynamic representations), connect and compare them, and select and apply the appropriate representations to solve problems;

·              communicate mathematical thinking orally, visually, and in writing, using mathematical vocabulary and a variety of appropriate representations, and observing mathematical conventions.
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Overall and Specific Expectations

 

Number Sense and Algebra

 

 
 

By the end of this course, students will:

  • solve problems involving proportional reasoning;
  • simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations.
 
 

 

 

 

 

 

 

 

 

Linear Relations

 

 
 

By the end of this course, students will be:

  • apply data-management techniques to investigate relationships between two variables;
  • determine the characteristics of linear relations;
  • demonstrate an understanding of constant rate of change and its connection to linear relations;
  • connect various representations of a linear relation, and solve problems using the representations.
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Measurement and Geometry

 

 
 

By the end of this course, students will:

  • determine, through investigation, the optimal values of various measurements of rectangles;
  • solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures;
  • determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.

 
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



Chapters:   Titles and Time

 

Unit #

Unit Title

Number of days

Number of hours

1

Measuring Figures and objects

12

16

2

Investigating Perimeter and Area of Rectangles

8

11

3

Relationships in geometry

14

18

4

Proportional Reasoning

14

18

5

Graphing Relations

14

18

6

Linear Relations

12

16

7

Polynomials

16

21

 

 

 

Teaching Strategies:

 

A variety of teaching strategies will be used.

  • work independently
  • use technology effectively
  • extend problem solving strategies
  • apply skills to meaningful applications
  • explore, use  method of inquiry, individually and in groups
  • develop skills within contexts
  • explain reasoning in writing, and orally to teachers and peers
  • study of examples followed by practice

 
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Assessment and Evaluation Strategies:

 

A variety of assessment tools and strategies will be used throughout the course including but not limited to:

·        rubrics

·        assignments

·        tests, quizzes

·        observations of performance tasks

·        performance assessments

·        presentations

 

 

Term work will represent 70% of the final mark while 30% will be based on a final evaluation in the form of an exam.
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The Role of Technology in the Curriculum. Technology helps to make students more powerful learners by giving them the means to explore mathematical concepts more effectively. In the time gained by using technology, students can study fundamental ideas in greater depth, develop higher skill levels, and explore more applications.

Career Education. Teachers should promote students’ understanding of the role of mathematics in daily life and its relation to career opportunities by exploring applications of concepts, providing opportunities for career-related project work, and promoting independent investigations. Such activities allow students the opportunity to investigate mathematics-related careers compatible with their interests, aspirations, and abilities.

 
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 


Math 9 Pearson, 2007
 
Textbook(s):

 

 

 

Course Profile:  Principles of Mathematics, Grade 9 AppliedProfile

Mathematics 9 : Addison-Wesley

Addison-Wesley Mathematics 9 Teacher’s Guide and Resource Book

OMCA, OAME:  Linking Assessment and Instruction in Mathematics

Grade 9 Mathematics Exemplar:  Ontario Ministry of Education
 
Other Resources: