This transfer course will provide students who have successfully completed Foundations of Mathematics, Grade 9, Applied with an opportunity to achieve the expectations not covered in that course but included in Principles of Mathematics, Grade 9, Academic. On successful completion of this transfer course, students may proceed to Principles of Mathematics, Grade 10, Academic (MPM2D). This Transfer course focuses on developing number sense and algebra, linear relations, analytic geometry and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
By the end of the course, students will gain proficiency in the following areas:
Number Sense and Algebra
demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;
manipulate numerical and polynomial expressions, and solve first-degree equations
demonstrate an understanding of the characteristics of a linear relation;
determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity;
determine, through investigation, the properties of the slope and y-intercept of a linear relation;
solve problems involving linear relations
Measurement and Geometry
solve problems involving the surface areas and volumes of three-dimensional figures;
verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.
Unit 1: Number Sense and Algebra In this first unit, you will work with exponent laws to solidify your learning. You will learn new algebra terminology which will prove useful throughout the rest of the course. You will learn how to recognize as well as manipulate different types of polynomials. Furthermore, you will delve into more complex problem-solving situations involving real-life scenarios.
Unit 2: Analytic Geometry In this unit, you will gather, analyze, manipulate, and display data from primary and secondary sources to model and communicate results. You will explore the characteristics of lines and their corresponding equations. To solve problems, you will recognize and model realistic situations that involve constant rates of change. Several different types of technologies will be introduced for gathering, analyzing and displaying data.
Unit 3: Measurement of Geometry In this unit, you are reintroduced to area, perimeter, surface area, and volume. As it is not expected that you have all of these formulas memorized, the formulas sheet from the EQAO has been provided in each activity to assist with problem solving.
Unit 4: Final Examination
Teaching and Learning Strategies
Enthusiastic teachers and instructors bring unique teaching and assessment methods to the classroom because students learn best when they are engaged in a range of different learning techniques. The activities allow students to apply learned concepts to current world social, economic, and environmental issues which impact daily life. Opportunities to relate knowledge and skills to these wider contexts will motivate students to learn in a meaningful way and to become life-long learners. Instructors also inspire students to become successful problem solvers by investigating, providing alternative reasoning and solutions to problems as well as dedicating time and energy to the tasks at hand.
Effective instructional techniques utilize students’ existing knowledge and by capturing their interest and engaging in meaningful participation. Students will be engaged when they are able to see the correlation between the learned concepts and their ability to apply them to the world around them and in real-life situations. Students will have the chance to learn using a wide range of methods which include self-learning, cooperative learning as well as learning through teacher guidance as well has hands-on experiences. The methods and strategies teachers implement will be tailored to the learning requirements and the individual needs of the students. Teachers will achieve effective instruction in an online environment by using videos, interactive animations and virtual labs and discussion forums and video conferencing/live chat.
Individualized Accommodations for Students
Our methodology for student assessment follows the Growing Success Assessment, Evaluation and Reporting in Ontario Schools First Edition, Covering Grades 1 to 12 (2010) manual published by the Ontario Ministry of Education. Assessment is the process of gathering information that accurately reflects how well a student is achieving the curriculum expectations in a subject or course. Assessment tools are designed to improve student learning which includes descriptive feedback, coaching, observations and self-assessments. In addition, student can be independent and set individual goals, monitor progress against these goals, determine next steps and reflect on their thinking and learning.
For a student with special education needs who requires modified or alternative expectations, assessment and evaluation of his or her achievement will be based on the modified curriculum expectations or alternative expectations outlined in the student’s Individual Education Plan (IEP). Accommodations required to facilitate the student’s learning may be identified by the teacher, however recommendations from a School Board generated in the form of an Individual Education Plan (IEP) should be used, if available.
For a student with special education needs who requires “accommodations only”, as described in his or her IEP, assessment and evaluation of achievement will be based on the appropriate subject/ grade/course curriculum expectations and the achievement levels outlined in the curriculum documents.
A student’s Individual Education Plan (IEP) describes his or her educational program and any accommodations that may be required. The IEP specifies whether the student requires: accommodations only; or modified learning expectations, with the possibility of accommodations;
Assessment accommodations are changes in procedures that enable the student to demonstrate his or her learning. These may include: visual supports to clarify verbal instructions, assistive devices, or some form of human support; alternative methods for the student to demonstrate his or her achievement of expectations (e.g., allowing the student to take tests orally) or the allowance of extra time to complete the assessment; alternative settings that may be more suitable for the student to demonstrate his or her learning.
If accommodations are required to assess and evaluate student learning, the strategies to be used are outlined in the student’s IEP. For further details about the different types of accommodations, modified learning expectation and alternative programs please refer to Growing Success Assessment, Evaluation and Reporting in Ontario Schools First Edition, Covering Grades 1 to 12 (2010)
Standard Computer Requirements for all courses: -Processor speed of 2 GHz or faster -Memory of 4 GB RAM or greater -A high speed internet connection with a connection speed of 10 MB/s or better. -Monitor and video card with 1024×768 or greater resolution -Keyboard and Mouse is recommended -Speakers/Headphones