VIEWS: 17 PAGES: 9 POSTED ON: 4/1/2012 Public Domain
Curriculum Map: School___BHS________________ ALGEBRAIC CONNECTIONS Algebraic Connections is designed for students who have successfully completed Algebra I (or its equivalent) and Geometry (or its equivalent). Algebraic Connections will build on a foundation of previously taught Algebra and Geometry concepts, enlarge upon the development of each concept, and introduce new concepts. Students will be expected to evaluate data, interpret data, analyze linear functions, write and solve equations and inequalities and their systems, and use algebraic, graphical, and numerical methods for analysis. Arkansas teachers are responsible for integrating technology in the course work for Algebraic Connections. Bryant School District Teacher__N. Clark______________ August 2006-May 2007 Grade___Subject: Algebraic Connections Time Framework/SLE # How framework/SLE# was Activities/Strategies Assessment used Teacher Objectives/Skills taught? other than the general Notes/Comments Connection with Textbook Assessments: Teacher made test, Textbook assessment, Quiz, Observation, Student modeling, Performance assessments (projects, open response writing, log/journal, portfolio, student created math problems) Strand: Probability and Statistics CONTENT STANDARD 1. Students will evaluate and interpret data, make predictions based on data, and apply basic understanding of probability to solve real-world problems. Strand: Linear Functions CONTENT STANDARD 2. Students will analyze linear functions by investigating rates of change, intercepts, and zeros. Page1 Solving Equations and Inequalities CONTENT STANDARD 3. Students will write and solve, with and without appropriate technology, equations, inequalities, systems of equations and systems of inequalities. Strand: Nonlinear Functions CONTENT STANDARD 4. Students will use algebraic, graphical and numerical methods to analyze, compare, transform, and solve nonlinear equations (absolute value, quadratic, and exponential). 1 PS.1.AC.1 Advanced Mathematics Pages 742-754 Apply counting techniques textbook to determine the number of Section 14.1-14.2 outcomes tree diagram fundamental Counting Principle permutations (with and without repetition) combinations Page2 2 Advanced Mathematics Coin toss game Pages 755-760 textbook Spinner game PS.1.AC.2 Section 14.3 Dice roll Conduct and interpret simple probability experiments using Discovering Algebra textbook Pages 122-131 manipulatives Section 2.6-2.7 (spinners, dice, cards, coins) simulations (using random number tables, graphing calculators, or computer software) 3 Advanced Mathematics Pages 755-769 PS.1.AC.3 textbook Compute and display Section 14.3-14.4 theoretical and experimental probability including the use Discovering Algebra textbook Pages 123,131 of Venn diagrams. Section 2.6 simple complementary compound (mutually exclusive, inclusive, independent and dependent events) 4 Advanced Mathematics Pages 770-776 textbook Sections 14.5 PS.1.AC.4 Apply probability to real- Discovering Algebra textbook Pages 122-131 world situations such as Section 2.6-2.7 weather prediction, game theory, fair division, insurance tables, and election theory. Page3 5 Discovering Algebra textbook Pages 38-69 PS.1.AC.5 Section 1.1-1.7 Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for consistency with the data appropriateness of type of graph or data display scale overall message 6 Discovering Algebra textbook Pages 139-179, 225-232 Section 3.1-3.5, 4.7 LF.2.AC.4 Interpret the rate of change (slope) and intercepts within the context of everyday life (Ex. telephone charges based on base rate (y-intercept) plus rate per minute (slope)) 7 Discovering Algebra textbook Pages 190-198 Section 4.2 SEI.3.AC.3 Solve linear formulas and literal equations for a specified variable Page4 8 Discovering Algebra textbook Pages 216-224 LF.2.AC.7 Section 4.6 Write an equation given Section 5.2-5.5 Pages 261-287 two points a point and y- intercept an x-intercept and y- intercept a point and slope a table of data the graph of a line 9 SEI.3.AC.1 Discovering Algebra textbook Pages 190-198, 233-241, 276-283 Solve, with and without Section 4.2, 4.8,5.4 appropriate technology, multi- step equations and inequalities with rational coefficients numerically, algebraically and graphically 10 Discovering Algebra textbook Pages 251-260 Section 5.1 LF.2.AC.5 Calculate the slope given two points a graph of a line an equation of a line 11 Discovering Algebra textbook Pages 308-330 Section 6.1-6.3 SEI.3.AC.2 Solve, with and without appropriate technology, systems of two linear equations and systems of two inequalities numerically, algebraically and graphically Page5 12a Discovering Algebra textbook Pages 424-459 Section 8.1-8.5 LF.2.AC.3 Determine the independent and dependent variables, domain and range of a relation from an algebraic expression, graph, set of ordered pairs, or table of data 12b Discovering Algebra textbook Pages 424-459 Section 8.1-8.5 NF.4.AC.4 Determine the independent and dependent variables, domain and range of a relation from algebraic equations, graphs, sets of ordered pairs, or tables of data 13 LF.2.AC.1 Discovering Algebra textbook Pages 441-459 Create, given a graph without Section 8.3-8.5 an explicit formula, a written or oral interpretation of the relationship between the independent and dependent variables 15 Discovering Algebra textbook Pages 452-459 NF.4.AC.5 Section 8.5 Identify and apply nonlinear functions to real world situations such as acceleration, area, volume, population, bacteria, compound interest, percent depreciation and appreciation, amortization, geometric sequences, etc. Page6 16 Discovering Algebra textbook Pages 452-459 Section 8.5 LF.2.AC.2 Create, given a situation, a graph that models the relationship between the independent and dependent variables 17 Discovering Algebra textbook Pages 483-491 Section 9.2 NF.4.AC.6 Recognize function families including vertical shifts, horizontal shifts and reflections over the x-axis 18 NF.4.AC.1 Discovering Algebra textbook Pages 276-283, 560-565, 575 Factor polynomials Section 5.4, 10.6, 10.8 greatest common factor binominals (difference of squares) trinomials combinations of the above 19 Discovering Algebra textbook Pages 532-571 Section 10.1-10.7 NF.4.AC.3 Solve, with and without appropriate technology, quadratic equations with real number solutions using factoring and the quadratic formula Page7 20 Discovering Algebra textbook Pages 583-587 Section 11.1 LF.2.AC.6 Determine, using slope, whether a pair of lines are parallel, perpendicular, or neither 21 Discovering Algebra textbook Pages 588-592, 598-603 611-616 Section 11.2, 11.4, 11.6 SEI.3.AC.4 Use, with and without appropriate technology, coordinate geometry to represent and solve problems including midpoint, length of a line segment and Pythagorean Theorem 22 Discovering Algebra textbook Pages 604-610 Section 11.5 NF.4.AC.2 Simplify, add, subtract and multiply radical expressions 23 LF.2.AC.8 Algebra 2 textbook Pages 103-108 Graph, with and without Section 2.6 appropriate technology, functions defined as piece- wise and step Page8 24 SEI.3.AC.6 Algebra 2 textbook Pages 103-108 Apply linear, piece-wise and Section 2.6 step functions to real world situations that involve a combination of rates, proportions and percents such as sales tax, simple interest, social security, constant depreciation and appreciation, arithmetic sequences, constant rate of change, income taxes, postage, utility bills, commission, and traffic tickets 25 Discovering Algebra textbook Pages 593-597 SEI.3.AC.5 Section 11.3 Determine and describe, with and without appropriate technology, the resulting change in the perimeter, area, and volume when one or more dimensions change (apply this idea in solving real world problems) Page9