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1 ation ledge -How m lio Learner's Name: ALGEBRA II CAPACITY TRANSCRIPT Equations & Inequalities (Chapter 1) [L1.2.1, A1.1.4, A1.2.9, L3.2.1] Linear Equations and (Chapter 2) [L1.2.1, A1.2.9, A2.3.3, A3.1.2, L2.1.6, A2.3.3] Breakdown Apply properties of real numbers Apply proper use of orders of operations Evaluate and simplify algebraic epressions Solve linear equations Rewrite formulas and equations Evaluate formulas and equations Use problem solving strategies and models Represent relations and functions Determine whether a relation is a function Identify the domain and range Graph linear functions Apply the vertical line test Use function notation Use a function in real life Find slopes of lines and rates of change Use slope to determine if lines are parallel or perpendicular Graph linear equations in slope-intercept form Graph linear equations in standard form Graph horizontal and veritcal lines Slopes and intercepts of horizontal and vertical lines Write equations of lines using slope-intercept, point-slope form Model direct variation Draw scatter plots and best-fitting lines Use a graphing claculator to find correlation and best-fit line Page 1

2 ation ledge -How m lio Quadratic and Factoring (Chapter 4) [A2.3.3, L1.2.1, A1.2.9, A3.1.2] Breakdown Graph quadratic functions in standard form Find maimum and minimum values Civil engineering Find and label the ais of symmetry Find and label the verte Graph quadratic functions in verte or intercept form Change from intercept or verte form to standard form (use FOIL) Solve quadratic equations Factor trinomials Factor with special patterns Use the zero product property to solve quadratic equations Use quadratic equations as models Find the zeros of quadratic functions Use properties of square roots to simplify epressions Rationalize denominators of fractions with radicals Use square roots to solve quadratic equations Perform operations with comple numbers Use comple numbers in real life Simplify comple numbers Simplify imaginary numbers Multiply and Divide comple numbers Find the comple conjugate Plot comple numbers Find the absolute value of a comple number Solve quadratic equations by completing the square Use the quadratic formula to solve quadratic equations Find the discriminant Use the discriminant to determine the number/type of solutions Graph and solve quadratic inequalities Write quadratic functions and models Page 2

3 ation ledge -How m lio Polynomials and Polynomial (Chapter 5) [L1.2.1, L3.2.1, A1.1.4, A1.1.5, A1.2.5, A3.1.2] Breakdown Apply properties of eponents to simplify epressions Use scientific notation in real life Identify polynomial functions: cubic, quartic Evaluate polynomial functions by direct substitution Understand the end behavior of a function's graph Graph polynomial functions Add polynomials vertically and horizontally Subtract polynomilas vertically and horizontally Multiply polynomials vertically and horizontally Multiply three binomials Use sum and difference product pattern Use square of a binomial product pattern Use cube of a binomial product pattern Use polynomial models to solve problems Factor using the sum of two cubes Factor using the difference of two cubes Factor polynomials in quadratic form Factor by grouping Find the real-number solutions of polynomial equations Use a polynomial equation to solve a problem Use polynomial long division to factor a polynomial Use synthetic division to factor a polynomial Use -intercepts to graph polynomial functions Find turning points and correspond to local ma and min values Learner's Name: Data Analysis and Statistics [S1.1.1, S1.1.2, S1.2.1, S1.2.2, S1.2.3] Breakdown Construct and interpret dot plots KISSES Project Construct and interpret histograms KISSES Project Construct and interpret relative frequency histograms Construct and interpret bar graphs KISSES Project Construct and interpret basic control charts KISSES Project Construct and interpret bo plots KISSES Project Determine which kinds of plots are appropriate for different KISSES Project Page 3

4 le -H types of data Compare data sets and interpret differences based on KISSES Project graphs and summary statistics. Given a distribution of a variable in a data set, describe its shape, including symmetry or skewness, and state how the shape is related to measures of center (mean and median) and measures of variation (range and standard deviation) with particular attention to the effects of outliers Calculate & interpret measures of center: mean, median, mode Eplain uses, advantages, and disadvantages of each KISSES Project measure given a particular set of data & its contet. Estimate the postion of the mean, median, mode in both symmetrical and skewed distributions, and from a frequency distribution or histogram Compute and interpret measures of variation, including percentiles, quartiles, interquartile range, variance, and standard deviation Rational Eponents and Radical (Chapter 6) [L1.2.1, L2.1.6, A2.2.5, A2.3.3] Breakdown Find nth roots Evaluate epressions with rational eponents Approimate roots with a calculator Solve equations using nth roots Use nth roots in problem solving Use properties of rational eponents to simplify epressions Use properties of radicals to simplify epressions Write radicals in simplest form Add and subract like radicals and roots Simplify radical epressions involing variables Write variable epressions in simplest form Page 4

5 le -H Add and subtract functions g() f() Multiply and divide functions Find composites of functions Find the domain of functions Graph a square root function Graph a cube root function Graph a translated square root function, state domain & range Graph a translated cube root function, state domain & range Eponential and Logarithmic (Chapter 7) [A2.5.2, A2.5.3, A1.2.7] Breakdown Recongnize the parent function for eponential growth Graph eponential growth functions Apply & graph translations to eponential growth functions Use eponential growth models to solve problems Use the compound interest formula for real-life problems Recognize the parent function for eponential decay Graph eponential decay functions Apply & graph translations to eponential decay functions Use eponential decay models to solve problems Simplify natural base epressions Evaluate natural base epresssions using a calculator Determine if a natural base eponential function is growth or decay Page 5

6 Graph natural base functions; state domain and range Use the continuously compounded interest formula Convert eponential form to logarithmic form Evaluate logarithms Use inverse properties to simplify epressions Find inverse function Note the inverse relationship between eponential and logarithmic functions when graphing. Recognize the parent graphs for Logarithmic Graph logarithmic functions; apply translations Use propeties of logarithms Epand a logarithmic epression Use the change-of-base formula Solve eponential equations by equating eponents Use an eponential model Take a logarithm of each side Solve a logarithmic equation Eponentiate each side of an equation Trigonometric Ratios and (Chapter 13) [L1.2.1, A2.10.1, A2.10.2, a2.10.3, A2.2.4] Breakdown Use pythagorean theorem to find lengths in right triangle Evaluate the 6 trigonometric functions of an acute angle Properties of triangle Properties of triangle Find an unknown side length of a right triangle Use a caculator to solve a right triangle Use trignometry to solve for indirect measurements Use angle of elevations to solve problems Draw angles in standard position Find coterminal angles Convert between degrees and radians Find arc length and area of a sector Evaluate trignometric functions given a point Use the unit circle to evaluate trig functions Find reference angles and understand the relationships Use reference angles to evaluate functions Trig functions in quadrants I - IV Model with trigonometric functions Page 6

7 Trigonometric Graphs (Chapter 14) [A2.10.4] Find angles given values of trigonometric functions Evaluate inverse trigonometric functions Solve trigonometric equations Write and solve a trigonometric equations Solve a triangle using the Law of Sines Find the area of a triangle Solve a triangle using the Law of Cosines Apply the Laws of Sine and Cosine to real-world problems Understand characteristics of y = sin and y = cos Speghetti Trig Graph sine functions Speghetti Trig Graph cosine functions Speghetti Trig Apply properties of a unit circle to the graphs Speghetti Trig Understand characteristics of y = tan Speghetti Trig Graph tangent functions Speghetti Trig Page 7