Algebra I Course Online/Outcomes

Transcription

1 Teacher: Abdallah Jabr Algebra I Course Online/Outcomes Michigan Islamic Academy abdallah.jaber@mia-aa.org Text: Algebra I (Common Core 2011) Course Description: Algebra I begins with the development of the real number system and operations on the real numbers. Topics include open sentences in one and two variables, systems of equations, graphing of linear functions, polynomials, factoring, algebraic fractions,, radicals, quadratic conditions, and computer and calculator activities. Class time: Daily 5 th period. Course Outline: Chapter Section Title 5.2 Direct Variation 5.6 Parallel and Perpendicular Lines 5.7 Scatter Plots and Trend Lines 6.4 Applications of Linear Systems 6.5 Linear Inequalities 6.6 System of Linear Inequalities 7.1 Zero and Negative Exponents 7.2 Multiplying Powers with the same Base 7. More Multiplication Properties of Exponents 7.4 Division Properties of Exponents 7.5 Rational Exponents and Radicals 7.6 Exponential Functions 7.7 Exponential Growth and Decay 8.4 Multiplying Special Cases 8.5 Factoring x 2 +bx+c 8.6 Factoring ax 2 +bx+c 8.7 Factoring Special Cases 8.8 Factoring by Graphing

2 9.1 Quadratic Graphs and their Properties 9.2 Quadratic Functions 9. Solving Quadratic Equations 9.4 Factoring to solve Quadratic Equations 9.5 Completing the Square 9.6 The Quadratic Formula and the Discriminant 9.7 Linear, Quadratic, and exponential Models 10.1 Pythagorean Theorem 10.2 Simplifying Radicals 10. Operations with Radical Expressions 10.4 Solving Radical Equations 10.5 Graphing Square Root Functions 10.6 Trigonometric Ratios 12.1 Organizing Data Using Matrices 12.2 Frequency and Histograms 12. Measures of central Tendency and Dispersion Pacing Guide with Objectives: Book Outcome/Objective HSCE Time Spent Section 5.2 Express directly and inversely proportional A.42 Relationships as functions and recognize their characteristics. 5.6 Find an equation of the line parallel or perpendicular to A.14 given line through a given point. Understand and use the facts that no vertical parallel lines have equal slopes and that non-vertical perpendicular lines have slope that multiply to give Express directly and inversely proportional A.42 1 day Relationships as functions and recognize their characteristics. 6.4 Write an d solve equations and inequalities with two A1.2.1 variables to represent mathematical or applied situations 6.5 Write an d solve equations and inequalities with two A1.2.1 variables to represent mathematical or applied situations 6.6 Write an d solve equations and inequalities with two A1.2.1

3 variables to represent mathematical or applied situations 7.1 Know the properties of and roots, and apply them in algebraic expressions A Calculate fluently with numerical expressions involving L Calculate fluently with numerical expressions involving L Calculate fluently with numerical expressions involving L Calculate fluently with numerical expressions involving L Describe the reasons for the different effects of L1.1.4 exponentiation of a positive number by a number less than 0, a number between 0 and 1, and a number greater than Understand and use the fact that the base of an A.2.4 exponential function determines whether the function increases or decreases and how base affects the rate of A.2.5 growth or decay. Relate exponential functions to real phenomena, including half-life and doubling time. 8.4 Factor algebraic expressions using, for example, greatest A Factor algebraic expressions using, for example, greatest A Factor algebraic expressions using, for example, greatest A Factor algebraic expressions using, for example, greatest A Factor algebraic expressions using, for example, greatest A Associate a given equation with a function whose zeros are A1.2.2 the solutions of the equation. SFAB Know that the imaginary number i is one of two solutions to L day 2days

4 x^2 = Associate a given equation with a function whose zeros are the solutions of the equation. Identify the elements of a parabola (vertex, axis of symmetry, and direction of opening) given its symbolic form or its graph and relate these elements to the coefficient(s) of the symbolic form of the function. A1.2.2 A Write the symbolic form and sketch the graph of a quadratic A..1 function given appropriate information (e.g., vertex, intercepts, etc.). 9.4 Solve quadratic equations and Justify steps in the solutions, A1.2. and apply the quadratic formula appropriately. 9.5 Convert quadratic functions from standard to vertex form by completing the square. A Solve quadratic equations and Justify steps in the solutions, and apply the quadratic formula appropriately. Relate the number of real solutions of a quadratic equation to the graph of the associated quadratic function A1.2. A..4 Identify the elements of a parabola (vertex, axis of A..2 symmetry, and direction of opening) given its symbolic form or its graph and relate these elements to the coefficient(s) of the symbolic form of the function. Express quadratic functions in vertex form to identify their maxima or minima and in factored form to identify their zeros. A Linear, Quadratic and Exponential Models 10.1 Pythagorean Theorem 10.2 Simplifying Radicals 10. Operations with radical Expressions 10.4 Solving Radical Equations 10.5 Graphing Square Root Function -4 days 10.6 Tragicomic Ratios 12.2 Organize and summarize a data set in a table, plot, chart, or L1.2.4 spreadsheet; find patterns in a display of data; understand and critique data displays in the media. 12. Explain the meanings and uses of weighted averages (e.g., GNP, consumer price index, grade point average) L2.1.1 The following objectives should be covered as time allows: Write the symbolic form and sketch the graph of simple polynomial functions. Understand the effects of degree. Leading coefficient, and number of real zeros on the graphs of polynomial functions o f degree greater than 2, A.5. 1 A.5. 2

5 Determine the maximum possible number of zeroes of a polynomial function and understand the relationship between the x-intercepts of the graph and the factored form of the function. Identify the zeros of a function and the intervals where the values of a function are positive or negative. Describe the behavior of a function as x approaches positive or negative infinity, given the symbolic and graphical representations. Identify and interpret the key features of a function from its graph or its formula(e), (e.g., slope, intercept(s), asymptote(s), maximum and minimum value(s), symmetry, and average rate of change over an interval). Determine whether a function (given in tabular or graphical form) has an inverse and recognizesimple inverse pairs Write the symbolic form and sketch the graph of power functions. Analyze the graphs of power functions, noting reflectional or rotational symmetry A.5. A A2.17 A2.2. A.4. 1 A.4. *Supplement from another book (SFAB)