HADDONFIELD PUBLIC SCHOOLS Curriculum Map for Algebra II

Transcription

1 Curriculum Map for Algebra II September Solving problems involving number operations and algebraic expressions. Solving linear equations, literal equations, formulas and inequalities. Solving word problems by setting up equations and inequalities. Use order of operations in solving numerical and algebraic expressions. Use properties of algebra to solve linear equations, literal equations, formulas and inequalities. Use algebraic strategies to solve word problems. practicing examples taught at the board. dividually. Quiz Number Operations, Algebraic Expressions, Linear Equations, Word Problems. (Short response and openended questions 30 minutes. ) Test Material from Quiz plus Literal Equations, Formulas and Linear Inequalities. (Short response and open-ended questions 50 minutes. ) s 8/2009R 1

2 October and November MA All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena. Algorithms can effectively and efficiently be used to quantify and interpret discrete information. Essential Questions: What is a linear equation in two variables? How do you graph linear equations? What is slope? What is slope-intercept form, and standard form for linear equations? How do you write equations of lines? How do you graph linear inequalities in two variables? What are absolute value equations and how are they graphed? What is the stock market/categories? What is a system of linear equations? How do you solve systems? How do you solve problems using systems? How do you solve systems of linear inequalities? What is linear programming? What is a linear equation in two variables? Solving and graphing linear equations in Use properties of algebra and the Quiz Graphs of Linear Equations, How do you graph linear equations? two variables. coordinate plane to solve and graph linear Slope, Slope Intercept From, Standard What is slope? Finding the slope of a line and writing equations in two variables. Form. What is slope-intercept form, and standard equations of lines. Use properties of slope to write equations of (Short response and open-ended form for linear equations? Graphing linear inequalities and absolute lines. How do you write equations of lines? value equations. Solve and graph linear inequalities and Test Material from Quiz plus writing How do you graph linear inequalities in two Selecting stocks from different categories absolute value equations on the xy plane. Equations of Lines, Linear Inequalities, variables? Set up a stock chart with specific pieces of and Absolute Value Equations. (Short What are absolute value equations and how Use substitution and linear combination information. response and open-ended questions are they graphed? to solve systems of linear equations 50 minutes.) What is the stock market/categories? algebraically. practicing examples taught at the board. Quiz Solving and Graphing Linear Solving and graphing systems of linear Use the coordinate plane to graphically Systems, Word Problems using equations. solve systems of equations. systems. (Short response and openended Solving word problems using linear Solve and graph systems of linear dividually 8/2009R 2

3 systems. Solving and graphing systems of linear inequalities. Solving problems using linear programming HADDONFIELD PUBLIC SCHOOLS inequalities on the coordinate plane. Solving linear programming problems using the coordinate plane and constraints Test Material from Quiz plus systems of Linear Inequalities, Linear Programming. (Short response and open-ended Project (Stock Market) selection of five stocks totaling ten thousand dollars plus justifications. 8/2009R 3

4 Curriculum Map for Algebra II December One representation may sometimes be more helpful than another; and, used together, multiple representations give a fuller understanding of a problem. Essential Questions: What are matrices? How do you perform operations on matrices? What is a determinant? What is the GEPA? practicing examples taught at the board. dividually Performing operations on matrices. Finding the determinant of a matrix. Solving GEPA related problems Resources/Technology: Text/Graphing Calculator Solve the basic mathematical operations on matrices. Finding the determinant of a matrix using the correct algorithm. Using practice problems review for GEPA test. Quiz Matrix operations, Determinants. (Short response and open-ended Project (stock market) first update due. 8/2009R 4

5 January One representation may sometimes be more helpful than another; and, used together, multiple representations give a fuller understanding of a problem. Essential Questions: How do you find the inverse of a matrix? How do you solve systems of equations using inverse matrices? How do you factor polynomials completely? What are the math/geometry terms for the GEPA? Finding the inverse of a matrix. Solving systems of equations using inverse matrices. Factoring polynomials completely Defining and applying GEPA vocabulary terms Finding the inverse of a matrix using the correct algorithm. Use the graphing calculator in order to solve systems of equations using inverse matrices. Factor polynomials by using GCF, difference between two squares and reverse FOIL in order to factor trinomials. practicing examples taught at the board. dividually Direct instruction with students listening and practicing examples taught at the board. Students working on problems individually Review GEPA terms using definition sheets. 8/2009R 5

6 February MA All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena. The magnitude of numbers affects the outcome of operations on them. Essential Questions: What is a quadratic equation? How do you solve quadratic equations? How do you graph quadratic equations? What is the quadratic formula? What are complex numbers? How do you graph quadratic inequalities? Solving quadratic equations by finding square roots, completing the square and practicing examples taught at the board. using the quadratic formula. Graphing quadratic equations using the coordinate plane. dividually Solving problems with complex numbers by applying the properties of algebra. Using the coordinate plane graph quadratic inequalities Solving quadratic equations. Graphing quadratic equations. Solving problems involving the quadratic formula. Solving problems with complex numbers. Graphing quadratic inequalities Quiz Solving Quadratic Equations, Graphing Quadratic Equations, Completing the Square/ (Short response and open-ended Test Material from quiz plus the Quadratic Formula, Complex Numbers, Quadratic Inequalities. (Short response and open-ended questions 50 minutes.) Project (Stock Market) 2 nd update due 8/2009R 6

7 March MA All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena. MA All students will develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data. One representation may sometimes be more helpful than another; and, used together, multiple representations give a fuller understanding of a problem. Algorithms can effectively and efficiently be used to quantify and interpret discrete information. Essential Questions: What is a relation? And a function? How do you perform operations on functions? What are inverse functions? How do you perform transformations on functions? What is a recursive function? What are the measures of central tendency? Solving problems using relations and functions. Performing operations on functions. Finding and graphing inverse functions. Graphing transformations of functions. Finding recursive functions Finding the measures of central tendency Solve problems using input/output of variables with relations and functions. Perform all basic mathematical operations on functions. Graph transformations of functions and inverse functions using the coordinate plane. Find recursive functions using systems of equations. Find the three basic measures of central practicing examples taught at the board. dividually. Quiz Relations and Functions, Function Operations, Inverse Functions(Short response and openended Quiz Transformations of Functions, Special Functions, Recursive Functions, Measures of Central Tendency. (Short response and open-ended questions 30 minutes) tendency using real-life data. 8/2009R 7

8 April The magnitude of numbers affects the outcome of operations on them. Everyday objects have a variety of attributes, each of which can be measured in many ways. Shape and area can be conserved during mathematical transformations. Essential Questions: What are the properties of exponents? What are the practical applications of exponents? What are nth roots and rational exponents? What are the properties of roots of real numbers? How do you solve radical equations? How do you graph square root and cube root functions? Solve problems using powers/roots/properties of exponents. practicing examples taught at the board. Solve problems involving compound interest and exponential growth/decay. Solve radical equations by applying rules dividually of algebra Graphing square root and cube root functions on the coordinate plane and on the graphing calculator Solving problems by applying the properties of exponents. Solving real-life problems using exponents. Solving problems using nth roots and rational exponents along with roots of real numbers. Solving radical equations. Graphing square root and cube root functions. Quiz Properties of Exponents, Compound Interest, Exponential Growth/Decay, nth roots and Rational Exponents. (Short response and openended questions 30 minutes) Test Material from Quiz plus Radical Equations, Square Root and Cube Root Functions. (Short response and open-ended questions 50 minutes 8/2009R 8

9 May/June Shape and area can be conserved during mathematical transformations. The magnitude of numbers affects the outcome of operations on them. Algorithms can effectively and efficiently be used to quantify and interpret discrete information. Essential Questions: What are exponential and logarithmic functions? What are the properties of logarithms? What are natural logarithms? How do you solve exponential and logarithmic equations? How do we prepare for a final exam? Use exponential and logarithmic functions to solve application problems. practicing examples taught at the board. Solve compound interest problems using natural logarithms. Using algebraic properties to solve dividually exponential and logarithmic equations. Solve problems similar to those on the final exam using review packets. Solving problems on exponential and logarithmic functions. Solving natural logarithms. Using the properties of logarithms to solve problems. Solving exponential and logarithmic equations. Solving problems similar to those on the final exam Quiz Exponential and Logarithmic Functions, Properties of Logarithms. (Short response and open-ended Project (stock market) Part 3 Final same as part 1 and 2 with a final update on all stocks an essay will be included consisting of how one chosen stock performed based on a set of criteria. Final Exam entire course (50 multiple choice questions 90 minutes) 8/2009R 9