Algebra I, 2nd 4.5 weeks

Transcription

1 07-08 The following practice standards will be used throughout 4.5 weeks:. Make sense of problems and persevere in solving them.. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. TN Academic Standards Student Friendly I Can Statements Prerequisite Knowledge ACT Readiness Instruction al Time TN Ready Questions/ Resources ACT Questions/ Resources A.REI.D.6 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the approximate solutions using technology. A.REI.C.4 Write and solve a system of linear equations in context. I can explain why the intersection of y =f(x) and y = g(x) for any linear function are the solutions of the equation. I can solve systems both algebraically and graphically. I can solve pairs of linear equations in two variables using substitution and elimination.

2 07-08 A.CED.A.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. I can graph a system of equations and determine its solution. I can choose the best method for solving a linear system, and I can justify my method. I can graph a system of equations and determine its solution. I can determine the number of solutions to the system of equations. I can write and use a system of equations and/or inequalities to solve a real world problem. I can represent constraints by equations or inequalities and by systems of equations and/or inequalities. I can interpret solutions as viable or nonviable options in a modeling context. I can solve systems of equations and inequalities with and without technology.

3 A.REI.D.7 Graph the solutions to a linear inequality in two variables as a half plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. F.IF.C.6 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. I can graph linear inequalities on the coordinates plane and describe the meaning of the solution set. I can graph the solutions to a linear inequality in two variables as a half-plane, excluding the boundary for non-inclusive inequalities. I can graph piecewise functions including step and absolute value (just lines) Write and graph linear equations and inequalities from real-world situations (e.g., a constant-rate distance/time problem) Graph linear inequalities with two variables on the standard (x,y) coordinate plane Translate between different representations of relations and functions: graphs, equations, sets of ordered pairs, verbal descriptions, and tables Relate factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions

4 A.REI.B. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. I can explain the meaning of absolute value in various contexts I can understand absolute value in terms of distance I can solve absolute value equations Solve single-step and multistep equations and inequalities in one variable Solve formulas for a specified variable Graph linear inequalities in one variable on the real number line to solve problems I can graph absolute value functions on the coordinate plane. I can solve absolute value inequalities and graph the solutions on a number line A-SSE.3.C Use the properties of exponents... A-EE. Simplify radical expressions I can simplify exponents using the appropriate property. (i.e. zero power, negative powers, multiplying like bases, dividing like bases, power of a power, power of a product, and power of a quotient) I can identify parts of a radical. This is in preparation for polynomials and quadratics. This is in preparation for polynomials and

5 I can simplify a radical including a radical that contains variables. Algebra I, nd 4.5 weeks quadratics. 5