MATH 10 COURSE OUTLINE

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CHARLES P. ALLEN HIGH SCHOOL ∞ MATHEMATICS DEPARTMENT ∞

MATH 10 COURSE OUTLINE

Teaching Staff 2015 – 2016:

M. Andrecyk

G. Gallant

I. MacLellan

J. Grey

M. MacKenzie

M. Mawson

MAndrecyk@hrsb.ca ggallant@hrsb.ca

IMacLellan@hrsb.ca greyj@hrsb.ca mackenziem@hrsb.ca mmawson@hrsb.ca

Room 335

Room 338

Room 326

Room 334

Room 325

Room 340

Prerequisite

: Successful completion of Mathematics: Grade 9 and good to excellent performance in relation to the curriculum outcomes prescribed for Mathematics grade 9.

Textbooks

: Foundations and PreCalculus Mathematics 10 (Pearson)

Financial Mathematics (McGraw-Hill Ryerson)

Course Overview:

Mathematics 10 is a full year academic high school mathematics course which is a pre-requisite for all other academic and advanced mathematics courses. Students in Mathematics 10 will explore topics that include measurement systems, surface area and volume, right triangle trigonometry, exponents and radicals, polynomials, linear relations and functions, linear equations and graphs, solving systems of equations, and financial mathematics.

Course Outline:

Measurement (50 – 55 hours) Assessment: 25%

Students will be expected to:

Solve problems that involve linear measurement, using SI and imperial units of measure, estimation strategies, and measurement strategies

Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure

Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids and spheres

Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

Algebra and Number (50 – 55 hours) Assessment: 25%

Students will be expected to:

Demonstrate an understanding of irrational numbers by representing, identifying, simplifying, aned ordering irrational mumbers

Demonstrate an understanding of irrational numbers by representing, identifying, simplifying, and ordering irrational numbers

Demonstrate an understanding of powers with integral and rational exponents

Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomial, and trinomials), concretely, pictorially, and symbolically

Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.

Relations and Functions (70 – 75 hours) Assessment: 35%

Students will be expected to:

Interpret and explain the relationships among data, graphs and situations

Demonstrate an understanding of relations and functions

Demonstrate an understanding of slope with respect to rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.

Describe and represent linear relations, using words, ordered pairs, tables of values, graphs and equations.

Determine the characteristics of the graphs of linear relations. Including the intercepts, slopes, domain and range.

Relate linear relations to their graphs expressed in o slope-intercept form ( y = mx + b) o general form (Ax + By + C = 0) o slope- point form (y

– y

1

) = m(x

– x

1

)

Determine the equation of a linear relation to solve problems, given a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line.

Solve problems that involve the distance between two points and the midpoint of a line segment.

Represent a linear function using function notation

Solve problems that involve systems of the linear equations in two variables, graphically and algebraically.

Financial Mathematics (40 – 45 hours) Assessment: 15%

Students will be expected to:

Solve problems that involve unit pricing and currency exchange, using proportional reasoning.

Demonstrate an understanding of income to calculate gross pay and net pay, including wages, salary, contracts, commissions, and piecework.

Investigate personal budgets

Explore and give a presentation on an area of interest that involves financial mathematics.

Assessment:

Assessment is the process of gathering, from a variety of sources, information that accurately reflects how well a student is achieving the learning outcomes in a subject or course.

A) Formative assessment is to show growth over time, determine student needs, plan next steps in instruction, and provide students with descriptive feedback.

B) Summative assessment is to determine the extent to which learning has occurred for students.

Evaluation is the process of analyzing, reflecting upon, and summarizing assessment information and making judgements and / or decisions based on the information gathered.

Unit assessments will consist of multiple opportunities for a student to demonstrate their understanding of the outcomes.

Such opportunities include (but are not limited to) tests, quizzes, in-class assignments, portfolios, comprehension questions, and projects. Teachers will employ both formative and summative assessments in gathering information to determine a student grade. No one method of assessment will be worth more than 50% of the unit.

Throughout the semester, students may feel that they have not successfully demonstrated their understanding of particular outcomes and would like another opportunity to demonstrate that they now “Get It”. Please refer to the Multiple

Opportunities document on teacher/school website for more details.

Mathematics courses require commitment and students must take responsibility for achieving the outcomes. Students need to make sure that they keep up with the work and seek help early if they encounter difficulties before they become insurmountable. Extra help is available, please check with your teacher for times.

Students are NOT permitted to exempt the final exam. There will be a provincially mandated exam for this course.

Final Assessment:

Continuous School Improvement (CSI):

80% Course Outline

20% Final Exam

Literacy Goal: Students will develop their critical thinking skills.

Math Goal: Students will develop their mathematical critical thinking skills with a focus on improving achievement on

Analysis questions (formerly called level three questions).

Levels of cognitive demand include Knowledge, Application and Analysis . Analysis, a level 3 question, is one in which students have the necessary skills/tools to solve a problem which is unfamiliar. This requires higher order thinking skills and problem solving techniques. Throughout the course of this year, as part of our CSI goal, teachers in the math department will expose their students to these types of problems and give them strategies that will help refine their critical thinking skills.

Communication of Student Achievement:

A collaborative effort of all stakeholders (student / parent/ teacher) is important to ensure student academic success. In an effort to maintain communications, a number of avenues are available.

Class Web sites are updated daily

Marks and attendance can be checked at any time on the Parent/ Student Portal of Powerschool. (If you do not have a password for the portal, please contact the main office)

The Auto-dialer calls home regarding unexcused absences and upcoming events.

Parents and students are encouraged to contact the teacher via email if they have any concerns regarding academic progress.

Important dates include: o o

Curriculum night:

Parent/teacher interviews: o Multiple Opportunity Testing week:

September 15, 2015

Nov 25 (evening) & Nov 26 (afternoon)

January 4 - 8, 2016

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