Mathematics, Grade 9

MTH1W

Mathematics, Grade 9

Description and Overall Expectations

This course enables students to consolidate, and continue to develop, an understanding of mathematical concepts related to number sense and operation, algebra, measurement, geometry, data, probability and financial literacy. Students will use mathematical processes, mathematical modelling, and coding to make sense of the mathematics they are learning and to apply their understanding to culturally responsive and relevant real-world situations. Students will continue to enhance their
mathematical reasoning skills, including proportional reasoning, spatial reasoning and algebraic reasoning as they solve problems and communicate their thinking.

AA. Social Emotional Learning Skills: students will develop and explore a variety of social-emotional learning skills in a context that supports and reflects this learning in connection with the expectations across all other strands.

A. Mathematical Thinking and Making Connections: apply the mathematical processes to develop a conceptual understanding of, and procedural fluency with, the mathematics they are learning; make connections between mathematics and various knowledge systems, their lived experiences and various real-life applications of mathematics, including careers. Learning related to this strand takes place
throughout strands B through F.

B. Number: demonstrate an understanding of the development and use of numbers and make connections between sets of numbers; represent numbers in various ways, evaluate powers, an simplify expressions by using relationships between powers and their exponents; apply an understanding of
rational numbers, ratios, rates, percentages, and proportions, in various mathematical contexts, and to solve problems.

C. Algebra: demonstrate an understanding of the development and use of algebraic concepts and of their connection to numbers, using various tools and representations; apply coding skills to represent mathematical concepts and relationships dynamically, and to solve problems, in algebra and across
other strands; represent and compare linear and non-linear relations that model real-life situations, and use these representations to make predictions; demonstrate an understanding of the characteristics of various representations of linear and non-linear relations, using tools, including coding when
appropriate.

D. Data: describe the collection and use of data, and represent and analyze data involving one and two variables; apply the process of mathematical modelling, using data and mathematical concepts from other strands, to represent, analyse, make predictions, and provide insight into real-life situations.

E. Geometric and Measurement Relationships: demonstrate an understanding and development and use of geometric and measurement relationships, and apply these relationships to solve problems, including real-life situations.

F. Financial Literacy: demonstrate the knowledge and skills needed to make informed financial
decisions.

Outline of Course Content

Unit TitleTime
1 Numbers
This unit will expand on the use of fractions, ratios, rates, proportions, and number sets, as well as introduce the rules for working with exponents. Students will also be introduced to abstract concepts like infinite sets and limits of a pattern.
20 hours
2 Algebra and Coding
This unit will focus on setting the foundations for working with linear relationships. Students will investigate the properties of linear and non-linear relationships, the different representations of linear relationships, and solve theoretical and application problems involving linear relationships. The unit will also connect algebraic concepts to coding applications. Students will read and write pseudocode, making use of comparative statements and loops, that produces solutions to real-life problems.
28 hours
3 Geometry and Measurement
This unit explores variety of measurement systems and introduces the factor label method for converting between different unit types. Students will also investigate geometric relationships such as the volume differences between pyramids and prisms as well as cones and cylinders.
20hours
4 Data
This unit will expand on the foundations of data collection and data analysis and build toward a project where students conduct a survey and analyze their data. Students will create a mathematical model for their data and test its validity.
23hours
5 Financial Literacy
This unit will build on the idea of compound interest and students will learn about models of appreciation and depreciation in a Canadian context. Students will also learn methods to adapt a budget so that it continues to work under moderate changes in circumstances.
15 hours
Culminating Task 2hrs
Final Exam 2hrs
Total 110 hours

Teacher and Learning Strategies

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 in order 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

Weighting of categories

Assessment Criteria (for all assignments, projects, tests, exams)Evaluation
Knowledge/Understanding25%
Communication25%
Thinking25%
Application25%
Total100%

The final grade is based on performance in 3 areas: products, observations, conversations.

Ongoing Semester Assessments 70%
Culminating Activity 15%
Final Exam 15%
Total 100%

Assessment Strategies

Assessment for Learning Assessment as Learning Assessment of Learning
Quizzes Journal Tests
TestsExit and Entrance CardsPresentations
Presentations KWL Chart Journals
Journals Self/Peer assessment Essays
Essays Feedback Logs Independent Study Assignment
Models Conferencing with teacherProjects
Projects 60-second think/self-evaluation of learningConferencing
Demonstrations Concept sun – individual brainstorm web, then teacher conversation
ConferencingFeedback Sandwich (good/bad/good news) did well, need improvement, future goal
Questioning Venn Diagram (2 circles overlapping: know, confused, don’t know)
Independent Study AssignmentBrainstorming
Art ExhibitsIndependent work
Researching
Reading Aloud
Problem Solving (process focused)
Debates
Work Sheets
Role Playing
Direct Instruction
Class Discussion
Small Group Discussion
Pair/Share
Teacher reading to class
Silent individual reading
Group based reading

Program Planning Considerations

Instructional Approaches
Students come to secondary school with a natural curiosity developed throughout the elementary grades. They also bring with them individual interests and abilities as well as diverse personal and cultural experiences, all of which have an impact on their prior knowledge about science, technology, the environment, and the world they live in. Effective instructional approaches and learning activities draw on students’ prior knowledge, capture their interest, and encourage meaningful practice both inside and outside the classroom. Students at Leslie Academy will be engaged when they are able to see the connection between the scientific concepts they are learning and their application in the world
around them and in real-life situations.

Health and Safety in Science
This course will provide the reading and analytical skills for the student to be able to explore the variety of concepts relating to health and safety in the workplace. The teachers at Maple Ridge Academy will also take the necessary steps to ensure that students have the knowledge and skills for safe participation in Science activities.

Program Considerations for English Language Learner
English language learners (students who are learning English as a second or additional language in English-language schools) bring a rich diversity of background knowledge and experience to the classroom. These students’ linguistic and cultural backgrounds not only support their learning in their new environment but also become a cultural asset in the classroom community. Teachers at Maple Ridge Academy will find positive ways to incorporate this diversity into their instructional programs and into the classroom environment.

Environmental Education
Environmental education is an approach to critical thinking, citizenship, and personal responsibility. It is a context that can enrich and enliven education in all subject areas, and offer students the opportunity to develop a deeper connection with themselves, their role in society, and their interdependence on one another and the earth’s natural systems. The teacher at Leslie Academy will emphasize on relating science to technology, society, and the environment (STSE) within the Ontario curriculum to provide meaningful contexts for applying what has been learned about the environment.

Antidiscrimination Education
Diverse groups of people involved in scientific activities and careers will be explored in case studies. The examples used to illustrate knowledge and skills, and the practical applications and topics that students explore as part of the learning process will vary so that they appeal to both boys and girls and relate to students’ diverse backgrounds, interests, and experiences. It will include opportunities for students at Maple Ridge Academy to describe, study, or research how women and men from a variety of backgrounds, including Aboriginal peoples, have contributed to science, used science to solve problems in their daily life and work, or been affected by scientific processes or phenomena.

Critical Thinking and Critical Literacy in Science
At Leslie Academy critical thinking includes skills such as questioning, predicting, hypothesizing, analyzing, synthesizing, examining opinions, identifying values and issues, detecting bias, and distinguishing between alternatives. Students will use critical thinking skills in science when they assess, analyze, and/or evaluate the impact of something on society and the environment; when they form an opinion about something and support that opinion with logical reasons; or when they create personal plans of action with regard to making a difference. The teacher will educate the student about critical literacy as the capacity for a particular type of critical thinking that involves looking beyond the literal meaning of a text to determine what is present and what is missing, in order to analyze and evaluate the text’s complete meaning and the author’s intent.

Literacy, Mathematical Literacy, and Investigation (Inquiry/Research) Skills
When reading in science, students will use a different set of skills than they do when reading fiction or general non-fiction. They will need to develop / understand vocabulary and terminology that are unique to science, and must be able to interpret symbols, charts, diagrams, and graphs. In addition, they will work on their ability to make sense of the organization of science textbooks, scientific journals, and research papers. Teachers at Leslie Academy will model and teach the strategies that support learning to read while students are reading to learn in science. Writing in science employs special forms and therefore also requires specific and focused learning opportunities. Students will use writing skills to describe and explain their observations, to support the process of critically analyzing information in both informal and formal contexts, and to present their findings in written, graphic, and multimedia forms. Students are expected to use appropriate and correct terminology, and are encouraged to use language with care and precision in order to communicate effectively.

The Role of Information and Communications Technology in Science
Students at Leslie Academy will develop transferable skills through their experience with word processing, internet research, presentation software, and telecommunication tools, as would be expected in any environment. Technology will also be used for simulations, for instance, when field
studies on a particular topic are not feasible or dissections are not acceptable due to various possible reasons.

The Ontario Skills Passport and Essential Skills
The skills described in the OSP are the Essential Skills that the Government of Canada and other national and international agencies have identified and validated, through extensive research, as the skills needed for work, learning, and life. These Essential Skills provide the foundation for learning all other skills and enable people to evolve with their jobs and adapt to workplace change. For further information on the OSP and the Essential Skills, visit http://skills.edu.gov.on.ca.

Career Education
Ongoing scientific discoveries and innovations coupled with rapidly evolving technologies have resulted in an exciting environment in which creativity and innovation thrive, bringing about new career opportunities. Throughout the course, courses, students at Leslie Academy will develop a variety of important capabilities, including the ability to identify issues, conduct research, carry out experiments, solve problems, present results, and work on projects both independently and as a team. Students will also be given opportunities to explore various careers related to the areas of science under study and to research the education and training required for these careers.

Pathways and Programs
At Leslie Academy Islamic school, the teachers will partner with community members with scientific professions to help develop a pathway for student interested in acquiring academic knowledge and skills important to particular industry sectors and required for success in the workplace and postsecondary education, including apprenticeship. Science courses may also be combined with cooperative education credits to provide the workplace experience required for some programs. In addition, the Vice Principals and Guidance councillors assist in student services for post-secondary planning by holding formal sessions on College and University options for parents and guardians.

Planning Science Programs for Students with Special Education Needs *currently, there are no students enrolled at Maple Ridge Academy with Special Needs.

Cooperative Education and other forms of Experimental Learning *currently not offered at Maple Ridge Academy.

Resources

In addition to the lessons and activities found in this course, students are also referred to additional books, handouts, worksheets and websites. It is the students’ responsibility to keep track of any changes/updates on the course webpage, including calendar/homework/handouts etc. The course webpage can be accessed anytime by following the link that will be provided. In case of webpage accessibility issues the student must notify the teacher in order to get assistance. Textbook

  1. Physics 12. Nelson Education Ltd., 2010 Internet Sources:

  2. http://www.interactivephysics.com (A source of a variety of Physics simulations).

  3. https://phet.colorado.edu/ (A source of a variety of Physics simulations).

  4. http://www.disctronics.co.uk/dvd/dvdspecs/dvdphys.htm (Describes differences between CDs and DVDs)

  5. http://atschool.eduweb.co.uk/rmext04/92andwed/pf_quant.html (Resource explaining oddities of quantum, particle and special relativity physics)

  6. http://phys.educ.ksu.edu/vqm/html/doubleslit/index.html (Simulation of the interference of electrons or larger particles)

  7. http://www-ed.fnal.gov/projects/labyrinth/games/index1.html (Games and simulations to demonstrate different concepts of quantum physics)

  8. http://www.howstuffworks.com/relativity.htm (A resource describing special relativity)

  9. http://www.elibrary.com (A site containing a wide variety of recent newspaper and magazine articles)