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St. Mary High School

Course Outline: CSEC Mathematics- Grade 11

Rationale

To provide students with the opportunity to further their knowledge, skills, and attitudes related to mathematics. Using mathematics to confidently solve problems; using mathematics to better understand the world around us; communicating mathematics with real life situations.

Each assessment is worth 20% of the students overall grade.

|Topics |Week |Date |Objectives to be met |Assessment Pieces |

|Relations, Functions and Graphs|1- 6 |September |Distinguish between a relation and a function | |

| | | | |ASS 1 - Class Work #1: Relations |

| | | |Draw and interpret graphs of linear functions |and Functions Activity |

| | | | |Objectives 1-2, 4-5 |

| | | |Derive composite functions | |

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| | | |State the relationship between a function and its inverse and derive the inverse of a | |

| | | |function | |

| | | | |ASS 1 - Assignment #1: Composite |

| | | |Evaluate f(a), f-1(a), fg(a), (fg)-1(a) where a [pic] and use the relationship |Functions Objectives 4 - 5 |

| | | |(fg)-1=g -1f -1 | |

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| | | |Determine: | |

| | | |the gradient of a | |

| | | |straight line | |

| | | |the equation of a |ASS 1 – Test 1 |

| | | |straight line |Co-ordinate Geometry |

| | | |and solve problems involving the gradient of parallel and perpendicular lines |Objectives 6-7 |

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| | | |Determine from co-ordinates on a line segment | |

| | | |magnitude or length | |

| | | |co-ordinates of the midpoint | |

| | | |8. Represent the solution of linear inequalities in one variable using: |ASS 1 Assignment- Linear |

| | | |Set Notation |Programming |

| | | |The number line |Objectives 8-10 |

| | | |Graph | |

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| | | |9. Draw a graph to represent a linear inequality in two variables | |

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| | | |10. Use linear programming techniques to solve problems involving two variables | |

|School Based Assessment Draft 1– collected September 22, 2019 |

|Assessment 1 due |

|Relations, Functions and Graphs|Week 1- 6 | | | |

| | | |Draw and interpret distance-time graphs and speed-time graphs (straight line only) to | |

| | | |determine: |ASS #3- Worksheet 1 |

| | | |Distance |Distance Time Graph Objective 1 |

| | | |Time | |

| | | |Speed |Worksheet 2- Velocity Time Graph |

| | | |Magnitude of acceleration |Objective 1 |

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| | | |Solve graphically a system of two linear equations in two variables | |

| | | |Draw and interpret graphs of a quadratic function to determine: |Test Objectives 2-5 |

| | | |The maximum or minimum value of the function | |

| | | |The equation of the axis of symmetry | |

| | | |The interval of the domain for which the elements of the range may be greater than or less | |

| | | |than a given point | |

| | | |An estimate of the value of the gradient at a given point | |

| | | |Intercepts of the function | |

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| | | |4. Determine the axis of symmetry, maximum and minimum value of a quadratic function | |

| | | |expressed in the form a(x + h)2 + k | |

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| | | |5. Sketch graph of quadratic function expressed in the form a(x + h)2 + k and determine | |

| | | |number of roots | |

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| | | |6. Draw and interpret the graphs of other non-linear functions | |

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|School Based Assessment Draft- collected and graded |

|Assessment 2 due |

|End of term Examination |

|Two papers- Paper 1: 30 Multiple Choice Questions |

|Paper 2: Structured paper requiring students to show all necessary working |

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|Vectors and Matrices | | |Explain concepts associated with vectors |ASS #4 - Classwork Vector |

| | | |Magnitude |Concepts and vector algebra |

| | | |Direction |Objectives 1-3 |

| | | |Line | |

| | | |segment | |

| | | |Scalar | |

| | | | |Assignment: Position Vectors |

| | | |Triangle, parallelogram and polygon laws of vectors |Objectives 4- 6 |

| | | |Vector Algebra | |

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| | | |Express a point P(a,b) as a position vector [pic] = [pic] where O is the origin (0,0) |Test- Vectors |

| | | | |Objectives 1-6 |

| | | |Determine the magnitude of a vector including unit vectors | |

| | | |Use vectors to solve problems in Geometry, colinearity and parallel | |

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| | | |Explain concepts associated with matrices | |

| | | |Matrix |Classwork 2: Matrices Activity |

| | | |Row | |

| | | |Column |Assignment 2: Matrices Operations |

| | | |Order | |

| | | |Types of matrices |Worksheet 2: Matrices |

| | | |Practical use | |

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| | | |Perform: |Test: Vectors and Matrices |

| | | |Addition of matrices | |

| | | |Subtraction of matrices | |

| | | |Multiplication of matrices | |

| | | |Multiplication of matrices by a scalar | |

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| | | |Evaluate the determinant of a ‘2[pic]2’ matrix | |

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| | | |Solve problems involving a ‘2[pic]2’ singular matrix | |

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| | | |Obtain the inverse of a non-singular ‘2[pic]2’ matrix | |

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|Transformation Geometry and |Week 7- 14 | |Determine a ‘2[pic]2’ matrix associated with specified transformations | Worksheet 1- Transformation |

|Circle Theorem | | | |Geometry |

| | | |Determine a ‘2[pic]2’ matrix representation of the single transformation which is equivalent | |

| | | |to the composition of two linear transformations in a plane (where the origin remains fixed) | |

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| | | |Revise circle properties Grades 7-9 | |

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| | | |Solve Geometric problems using properties of circles and circle theorems |Worksheet 2- Circle Theorem |

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| | | |Revision Exercises | |

| | | | |Test: Multiple Choice |

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|Revision |

|Mock Examination – Date to be announced |

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