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IB SL1 QUARTER 3: LEARNING TARGET 7.1: I can use the binomial theorem to expand polynomials and to identify terms for a given polynomial. How can I use Pascalβs triangle to find binomial coefficients? What is the relationship between the sum of the powers for each term and the degree of the polynomial? π $! How can you use the formula = to find binomial coefficients? What is π!? &! $'& ! π LEARNING TARGET 7.2: I can use the binomial theorem to calculate the probability of success or failure in a binomial experiment. How can you find the possible outcomes using permutations (nPr) and combinations (nCr)? What are some examples of binomial experiments? LEARNING TARGET 8.1: I can use the unit circle to evaluate and solve trigonometric functions. What is the relationship between degrees and radians? What are the exact cosines and sines of the angles in the first quadrant of the unit circle (0°, 30°, 45°, 60°, and 90°)? How can you use the identify sin+ π + cos + π = 1 to find the cosine or sine value of an angle? What is the relationship between tan π and the slope (gradient) of a line? LEARNING TARGET 8.2: I can move fluently among multiple representations of trigonometric functions. How can you identify the midline (principal axis), amplitude and period of a sine or cosine function from a table, graph, or equation? Can more than one equation represent a trigonometric function? What does it mean to be periodic? LEARNING TARGET 9.1: I can use multiple approaches (algebraic and graphical) to solve trigonometric equations. How do you βundoβ trigonometric functions? Why do trigonometric equations have infinitely many solutions? How does the sign of the trigonometric value indicate the quadrant of the angle? LEARNING TARGET 9.2: I can use trigonometric identifies to simplify trigonometric expressions and verify a trigonometry identity. Why does sin 2π = 2 sin π cos π? Why does cos 2π = cos + π β sin+ π? LEARNING TARGET 10.1: I can solve problems with oblique triangles (triangles that have no right angles). How can you find the area of a triangle? When can you use the cosine rule? When can you use the sine rule? **DISCLAIMER: SCHEDULE SUBJECT TO CHANGE. CHECK BACK REGULARLY.** MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY 30 31 Feb. 1 2 3 No School Binomial Coefficient Binomial Expansion Binomial Theorem LT Check: 7.1 How can I use Pascalβs triangle to find binomial coefficients? How can I use patterns to expand a binomial expression? Week 1 Practice Reflection How can you determine the number of outcomes for a situation with two possibilities? (π + π)$ = 6 7 8 Permutations and Combinations Binomial Experiments Binomial Experiments How can you find the number of outcomes when order does and doesnβt matter? How can you tell if an experiment is binomial? How can you find the probability of success or failure? 13 14 15 16 17 Radian Measure Arc Length and Sector Area The Unit Circle Applications of the Unit Circle No School How can you convert between radians and degrees? βπ © Math How can you use the length of the radius and an angle to find the arc length and area of a sector? What are the exact cosines and sines of the angles in the unit circle? 9 10 LT Check: 7.1 and 7.2 Conferences How can you find tangent if you know sine and cosine? How can you find sine if you know cosine? 20 21 22 23 24 No School Mixed Review LT Check: 7.2 and 8.1 Trigonometric Functions The Sine and Cosine Function What does it mean to be periodic? What are the characteristics of the graphs for π¦ = sin(π₯) and π¦ = cos(π₯)? 27 28 March 1 2 3 Modelling Using Trigonometric Functions ACT DAY Modelling Using Trigonometric Functions Periodic Behavior LT Check: 8.1 and 8.2 How can you transform sine and cosine graphs? How can you transform sine and cosine graphs? How can we determine if data is periodic? Is π¦ = tan(π₯) periodic? 6 7 8 9 10 Solving Trig Equations More Solving Trig Equations More Solving Trig Equations More Solving Trig Equations LT Check: 8.2 and 9.1 13 14 Happy π day!! 15 16 17 Trigonometric Relationships Trigonometric Relationships Trigonometric Relationships Trigonometric Relationships Trigonometric Relationships How can you simplify trigonometric expressions? How can you simplify trigonometric expressions? How can you simplify trigonometric expressions? Double Angle Formulae Double Angle Formulae 20 21 22 23 24 Trigonometric Relationships LT Check: 9.1 and 9.2 Areas of Triangles The Cosine Rule The Sine Rule How can you find the area of a triangle if you know two sides and the sine of the included angle? How can you find the missing side or angle of any triangle? How can you find the missing side or angle of any triangle? 27 28 29 30 31 Using the Sine and Cosine Rules LT Check: 9.2 and 10.1 Something really cool End of Quarter 3 No School Why do trig equations have infinitely many solutions? Review Spring Break! April 3 - 7 Available times for review and retakes: Advisory β Monday, Wednesday, or Thursday After school β Tuesday 3-4 pm, Wednesday 3-3:30 pm, or Thursday 3-4 pm Before school β by appointment
