MCR3U LEARNING GOAL CHECKLIST UNIT 1: Introduction to Functions DATE DONE HMK PAGE MY RATING NOTES DATE DONE HMK PAGE MY RATING NOTES DATE DONE HMK PAGE MY RATING NOTES LG: I know different ways to represent a function and I have different ways to justify why a relation is/isn't a function. LG: I understand what function notation is and I can use it to find values. LG: I have a good grasp of the similarities, differences and properties of linear, quadratic, square root, reciprocal and absolute value functions. LG: I can write domain and range of function using the right symbols - it's important in many units! LG: I know how to inverse many different forms of a function. In particular, I can solve for the inverse of an equation. LG: I can use the TI-83 to graph and examine functions; and I can tell from a function's equation how it has been transformed. LG: I understand all the transformations of functions, including if there is a number multiplying the x. LG: I can do a rough sketch of a transformed function by visually changing it's parent, or I can do an accurate graph by transforming its table of values. UNIT 2: Equivalent Expressions - Rational and Polynomial LG: I can add, subtract or multiply different polynomials together. LG: I can factor polynomials, including difference of squares, common factoring, and when there are two letters. LG: I can simplify fractions with polynomials on the top and bottom, and I know how to find which values are not allowed. LG: I can multiply and divide rational expressions, and I know how to find the restrictions. LG: I can add and subtract rational expressions, and I know how to find the restrictions. LG: I can simplify rational expressions when there are multiple fractions, and I know how to find the restrictions. UNIT 3: Quadratics and Radicals LG: I am very familiar with many of the properties of parabolae. LG: I know what the max/min of a parabola is, and I can find it in several different ways. LG: I know how to inverse a parabola's table, equation and graph. LG: I can simplify a radical by making what's inside the root into something times a square, and then moving that square outside the root. LG: I can add, subtract and multiply radicals together. LG: I can solve equations that require factoring and/or the quadratic formula. LG: I can find where a parabola has its zeros in a variety of situations, including using the discriminant for SF. LG: I know how to classify different families of parabola, depending on what form their equation is in. LG: I can find a quadratic's equation given its zeroes and a point. LG: I can find where a line meets a parabola either by graphing, or using the equations and solving. UNIT 4 - Exponential Functions DATE DONE HMK PAGE MY RATING NOTES DATE DONE HMK PAGE MY RATING NOTES DATE DONE HMK PAGE MY RATING NOTES DATE DONE HMK PAGE MY RATING NOTES LG: I understand and can apply the exponent rules, in order to simplify, before I evaluate an expression. LG: I know what it means if an exponent is a fraction, and I know how to evaluate them. LG: I can simplify exponential expressions using the rules I have learnt; I can then sub in and/or evaluate the expressions. LG: I am familiar with the similarities and differences between lines, parabolae and exponentials. LG: I understand how to move and stretch an exponential. LG: I understand the similarities and differences of exponentials that grow versus those that decay. UNIT 5: Trigonometry LG: I remember and can apply the equations from the acronym SOH CAH TOA to solve for sides and angles. LG: I can solve for sides and angles using cosecant, secant and cotangent. LG: I understand what the special triangles are, how to remember them, and how to use them to find an exact answer. LG: I understand how my SOH CAH TOA equations can be used in working with rotations, and can use them to find angles of rotations. LG: I know how to work with trig equations, and can use a number of strategies to prove LS = RS in trig identities. LG: I remember Sine Law and Cosine Law - I know when to use them, and how to use them. LG : I can use PT, SOH CAH TOA, Sine Law, Cosine Law and Triangle Angles Sum to 180 to find angles and sides in 3D Problems. UNIT 6: Periodic Functions LG: I understand what periodic means, what the properties of periodics are, and I know how to find those properties. LG: I am familiar with the graphs of sine and cosine, and can determine their properties from word problems. LG: I understand how to write the transformations of sine and cosine functions, and I can explain what each part of the equation does to the graph. LG: I know what transformation results from each part (each letter) of sine and cosine functions; and I know how to use the transformations to draw their graphs. LG: I can use my knowledge of transformations to solve word problems. UNIT 7: Sequences, Series and Financial Applications LG: I know what a sequence is; I know the difference between arithmetic and geometric; I can find formulae for both and use the formulae to find missing numbers. LG: I can find the general term and recursive formula for both arithmetic and geometric sequences. LG: I can solve sequences when only partial information is given. LG: I know what a series is, and I can calculate the sum of an arithmetic or geometric series. LG: I know what Pascal's Triangle is, and how to use it to expand any binomial. LG: I can know the difference between present value and future value, and can solve financial problems involving compound interest. LG: I can solve annuities for future value or present value.
