Pre-Calculus Math 11
UNIT 1: Patterns
|
|
Arithmetic Sequence Formulas:
|
Geometric Sequence Formulas:
|
Chapter 1: Sequences & Series
Prescribed Learning Outcomes: C9. Analyze arithmetic sequences and series to solve problems. C10. Analyze geometric sequences and series to solve problems. Sec1.1 - Arithmetic Sequences - Find terms of an arithmetic sequence X2 textbook assignment pg16-17 #1-7 Sec1.2 - Arithmetic Series - Write a formula for an arithmetic sequence X6. textbook assignment pg27 #1-7 Sec1.3 - Geometric Sequences - Find terms of a geometric sequence X3., Write a formula for a geometric sequence X7. textbook assignment pg39 #1-6 Sec1.4 - Geometric Series textbook assignment pg53 #1-7 Sec1.5 - Infinite Geometric Series - Evaluate formulas for sequences X5. textbook assignment pg63 #1-7 Review: Textbook assignment pg66-68 #1-23 |
Chapter 2: Trigonometry Prescribed Learning Outcomes: B1. Demonstrate an understanding of angles in standard position [0° to 360°]. B2. Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position. B3. Solve problems, using the cosine law and sine law, including the ambiguous case. Sec2.1 - Angles in Standard Position - Quadrants O1, Graphs of angles 02, Reference angles 04. textbook assignment pg83-85 #1-10,13,16 Sec2.2 - Trigonometric Ratios of Any Angle - Trig ratios Q1. Trig ratios in similar triangles Q3., Find trig ratios using the unit circle Q4., Sin/Cos/Tan of special angles Q5 textbook assignment pg96-97 #1-6, 11-13 Sec2.3 - The Sine Law - area of a triangle: sine formula Q17. textbook assignment pg108-109 #1-5, 6-8, 10-13 Sec2.4 - The Cosine Law - Cosine Law Q16. textbook assignment pg119-123 #1-11, 15, 21, 23 Review: Solve a right triangle Q14. Review: Textbook assignment pgs126-128 #12-15,17,19-24Prescribed Learning Outcomes: |
Unit 2: Quadratics
Chapter 3: Quadratic Functions Prescribed Learning Outcomes: C3. Analyze quadratic functions of the form y=a(x-p)2 +q and determine the: -vertex -domain & range -direction of opening -axis of symmetry -x&y intercepts Sec3.1 - Investigating Quadratic Functions in Vertex Form - Identify the direction a parabola opens I1., Find the vertex of a parabola I2., Find the axis of symmetry I3. textbook assignment pg157-159 #1-12 Sec3.2 - Investigating Quadratic Functions in Standard Form textbook pg174-176 #1-10 Sec3.3 - Completing the Square - Completing the square H9 textbook assignment pg192-193 #1-8 Review: Graph parabolas I6 Review: Textbook assignment pg198-200 #1-17 |
Chapter 4: Quadratic Equations
C4. Analyze quadratic functions of the form y=ax2+bx+c to identify characteristics of the corresponding graph, including: -vertex -domain & range -direction of opening -axis of symmetry -x&y intercepts C5. Solve problems that involve quadratic equations. Sec4.1 - Graphical Solutions to Quadratic Equations - Characteristics of a quadratic function H1. Graph a quadratic function H4., Solve a quadratic function using the zero product property H7. Find a quadratic function H3., Factor quadratics G2. textbook assignment pg215-216 #1-11 Sec4.2 - Factoring Quadratic Equations - (Grade 10 Level) Factor Quadratics with other leading coefficient P4. textbook assignment pg229-230 #1-12 skip #5 Sec4.3 - Solving Quadratic Equations by Completing the Square - (Grade 12 Level) Completing the Square C7. textbook pg240-241 #1-3, 5-7 Sec4.4 - The Quadratic Formula - Using the discriminant H11., Solve a quadratic equation using the quadratic formula H10. textbook assignment pg254-255 #1-4 Review: Textbook assignment pg258-260 #1,6ab,7-9,14cd,18,19 |
Unit 3: Functions & Equations
Chapter 5: Radical Expressions and Equations Prescribed Learning Outcomes: A2. Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands. A3. Solve problems that involve radical equations (limited to square roots). Sec5.1 - Working with Radicals - Add/Subtract radical expressions K9. Sec5.2 - Multiplying and Dividing Radical Expressions - Multiply radical expression K7. Divide radical expressions K8., Simplify radical expressions using the distributive property K10., Simplify radical expressions using conjugates K11. Sec5.3 - Radical Equations - Solve radical equations K13. |
Chapter 6: Rational Expressions & Equations
Prescribed Learning Outcomes:
A5. Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
A4. Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
Sec6.1 - Rational Expressions
Sec6.2 - Multiplying & Dividing Rational Expressions - Multiply and divide rational expressions M5.
Sec6.3 - Adding & Subtracting Rational Expressions - Add/Subtract rational expressions M6.
Sec6.4 - Rational Expressions - Simplify rational expressions M4.
Prescribed Learning Outcomes:
A5. Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
A4. Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
Sec6.1 - Rational Expressions
Sec6.2 - Multiplying & Dividing Rational Expressions - Multiply and divide rational expressions M5.
Sec6.3 - Adding & Subtracting Rational Expressions - Add/Subtract rational expressions M6.
Sec6.4 - Rational Expressions - Simplify rational expressions M4.