Publisher: Agile Mind, Inc Date: 19-May-14 Course and/or Algebra I Grade Level: TN Core Standard Standard Description Agile Mind Lesson / Activity Page / Link to Resource Create equations that describe numbers or relationships. [Linear, quadratic, and exponential (integer inputs only); for A.CED.3 linear only.] A-CED 1. Create equations and inequalities in one variable and use them to solve problems. Topic 3: Functions: Exploring 2, "Modeling with functions" pp 9-10 Include equations arising from linear and quadratic functions, and simple rational and exponential functions.* Topic 8: Solving linear equations and inequalities: Overview page 1 Topic 9: Absolute value equations and piecewise functions: Exploring 1, The definitions of absolute value Topic 9: Absolute value equations and piecewise functions: Exploring 2, Solving with graphs and tables pages 9-11 pages 1-7 A-CED 2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.* Topic 14: Exponential functions and equations: Exploring 2, "Growth and decay" Topic 19: Solving quadratic equations: Exploring 1, "Solving by graphing" pg 4 pp 1-3 Topic 3: Functions: Exploring 2, "Modeling with functions" pg 5 and pg 8 Topic 6: Moving beyond slope-intercept: Exploring 1, pp 10-11 Topic 8: Solving linear equations and inequalities: Overview page 1 A-CED 3. A-CED 4. 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. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. * Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm s law V = IR to highlight resistance R. * Topic 12: Other nonlinear relationships: Exploring 1, "Building blocks" Topic 12: Other nonlinear relationships: Exploring 2, "Too many triangles" pp 1-7 Topic 16: Graphs of quadratic functions: Exploring 1, "y = ax 2 " pp 1-6 Topic 8: Solving linear equations and inequalities: Exploring 1, "Solving linear equations" Topic 8: Solving linear equations and inequalities: Exploring 3, "Linear inequalities in one variable" Topic 8: Solving linear equations and inequalities: Exploring 2, "More solving linear equations" pg 5 and pg 8 pp 6-8 pp 1-4 pages 7-8 Solve equations and inequalities in one variable. [Linear inequalities; literal that are linear in the variables being solved for; quadratics with real solutions.] A-REI 3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Topic 8: Solving linear equations and inequalities: Exploring 1, "Solving linear equations" Topic 8: Solving linear equations and inequalities: Exploring 2, "More solving linear equations" Agile Mind Algebra I Alignment to TN CCSS 1
A-REI 3.1. Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context. Topic 9: Absolute value equations and piecewise functions: Exploring 1, The definitions of absolute value pages 9-11 Topic 9: Absolute value equations and piecewise functions: Exploring 2, Solving with graphs and tables pages 1-7 Topic 9: Absolute value equations and piecewise functions: Exploring 3, Solving analytically pages 1-5 A-REI 4a. A-REI 4b. Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x p) 2 = q that has the same solutions. Derive the quadratic formula from this form. Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the Topic 19: Solving quadratic equations: Exploring 4, "Completing the square" Topic 20: The quadratic formula: Exploring 3, "Using the quadratic formula" Topic 19: Solving quadratic equations: Exploring 4, "Completing the square" Topic 20: The quadratic formula: Exploring 3, "Using the quadratic formula" pp 3-11 pp 3-11 Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.] A-REI 10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Topic 8: Solving linear equations and inequalities: Overview page 1 Topic 8: Solving linear equations and inequalities: Exploring 1, "Solving linear equations" pp 6-8 A-REI 11. A-REI 12. 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 solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f (x ) and/or g (x ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* 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. Topic 8: Solving linear equations and inequalities: Overview page 1 Topic 8: Solving linear equations and inequalities: Exploring 1, "Solving linear equations" Topic 8: Solving linear equations and inequalities: Exploring 2, "More solving linear equations, Topic 8: Solving linear equations and inequalities: Exploring 4, "Linear inequalities in two variables" Topic 10: Solving systems of linear equations and inequalities: Exploring 3, "Systems of inequalities" page 8 page 3 and page 6 Agile Mind Algebra I Alignment to TN CCSS 2
Interpret functions that arise in applications in terms of the context. [Linear, exponential, and quadratic.] F-IF 4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. * Topic 3: Functions: Exploring 3, "Graphs" pp 6-8 Topic 4: Exploring rate of change in motion problems: Overview page 3 2, "More graph matching" page 9 2, "More graph matching" Topic 4: Exploring rate of change in motion problems: Student Activity Sheet 2 Topic 4: Exploring rate of change in motion problems: Student Activity Sheet 3, Topic 6: Moving beyond slope-intercept: Exploring 1, "Using slopeintercept form" Topic 6: Moving beyond slope-intercept: Exploring 3, "Intercepts and standard form" Topic 14: Exponential functions and equations: Exploring 2, "Growth and decay" Topic 18: Modeling with quadratic functions: Exploring 2, "Quadratic forms" Topic 19: Solving quadratic equations: Exploring 1, "Solving by graphing" page 9 question 13 question 8 page 11 pages 2 and 4 pp 8-10 pp 12-13 page 2, pp 4-5 F-IF 5. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h gives the number of personhours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. * Topic 1: Constructing graphs: Exploring 3, "Domain and range" Topic 3: Functions: Exploring 3, "Graphs" pp 3-5 Topic 12: Other nonlinear relationships: Exploring 1, "Building blocks" page 11 F-IF 6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.* 4, "What's my rate" Topic 5: Exploring rate of change in other situations: Exploring 1, "Constant rates" Topic 5: Exploring rate of change in other situations: EX 3, "Rates that are not constant" pp 3-7; pp 9-11 pp 2-7 pages 3, 6, and 9 Use properties of rational and irrational numbers. N-RN 3. Explain why the sum or product of two rational numbers is rational; that the sum of a Topic 20: The quadratic formula: Student Activity Sheet 4 question 23 rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Agile Mind Algebra I Alignment to TN CCSS 3
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions.] N-Q 1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.* Topic 1: Constructing graphs: Exploring 1, "Representing data" N-Q 2. Define appropriate quantities for the purpose of descriptive modeling.* Topic 7: Creating linear models for data: Overview page 2 N-Q 3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.* 4, "What's my rate" p 3 Interpret the structure of expressions [Linear, exponential, quadratic.] A-SSE 1a. Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients.* Topic 2: Multiple representations in the real world: Exploring 1, "Tiling square pools" page 5 Topic 2: Multiple representations in the real world: Exploring 2, "What's in a rule" Topic 14: Exponential functions and equations: Exploring 2, "Growth and decay" pp 5-10 Topic 17: Operations on polynomials: Exploring 3, "Factoring" page 3 A-SSE 1b. Interpret expressions that represent a quantity in terms of its context. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r) n as the product of P and a factor not depending on P. * Topic 2: Multiple representations in the real world: Exploring 2, "What's in a rule" Topic 14: Exponential functions and equations: Exploring 3, "Modeling with exponential functions" A-SSE 2. Use the structure of an expression to identify ways to rewrite it. Topic 14: Exponential functions and equations: Exploring 3, "Modeling with exponential functions" page 11 Topic 17: Operations on polynomials: Exploring 3, "Factoring" Topic 18: Modeling with quadratic functions: Exploring 3, "Completing the square" Topic 20: The quadratic formula: Exploring 2, "The algebra of square roots" pages 2 and 4-7 Write expressions in equivalent forms to solve problems. [Quadratic and exponential.] A-SSE 3a. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Factor a quadratic expression to reveal the zeros of the function it defines.* Topic 17: Operations on polynomials: Exploring 3, "Factoring" A-SSE 3b. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.* Topic 18: Modeling with quadratic functions: Exploring 3, "Completing the square" Agile Mind Algebra I Alignment to TN CCSS 4
A-SSE 3c. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15 t can be rewritten as (1.15 1/12 ) 12t 1.012 12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. * Topic 14: Exponential functions and equations: Exploring 3, "Modeling with exponential functions" page 11 Perform arithmetic operations on polynomials. [Linear and quadratic.] A-APR 1. A-APR.3 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial Topic 17 Operations on Polynomials: Exploring 1, "Multiplying polynomials" Topic 17 Operations on Polynomials: Exploring 2 "Finding sums and differences" Topic 19 Solving quadratic equations: Exploring 3 page 5, 12 Topic 19 Solving quadratic equations:constructed response page 3 Understand solving equations as a process of reasoning and explain the reasoning. [Master linear; learn as general principle.] A-REI 1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Topic 8: Solving linear equations and inequalities: Exploring 1, "Solving linear equations" Topic 8: Solving linear equations and inequalities: Exploring 2, "More solving linear equations" page 1, page 3, page 5 and page 1 Solve Systems of Equations. [Linear-linear and linear-quadratic.] A-REI 5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Topic 11: Other methods for solving systems: Exploring 2, "Linear combination method" Topic 11: Other methods for solving systems: Exploring 3, "Why linear combination works" page 2 Topic 11: Other methods for solving systems: Guided assessment A-REI 6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Topic 10: Systems of linear equations and inequalites: Exploring 1, "Solving systems of equations in slope-intercept form" Topic 10: Systems of linear equations and inequalites: Exploring 2, "Solving systems of equations in standard form" Topic 11: Other methods for solving systems: Constructed response Understand the concept of a function and use function notation. [Learn as general principle; focus on linear and exponential and on arithmetic and geometric sequences] F-IF 1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f (x ) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f (x ). Topic 1: Constructing graphs: Exploring 3, "Domain and range" Topic 3: Functions: Exploring 3, "Graphs" pp 3-5 Agile Mind Algebra I Alignment to TN CCSS 5
F-IF 2. F-IF 3. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n - 1) for n 1. Topic 3: Functions: Exploring 1, "Function notation" pp 5-6 Topic 3: Functions: Exploring 2, "Modeling with functions" pp 9-10 Topic 3: Functions: Exploring 1, "Function notation" pp 7-13 Analyze functions using different representations. [Linear, exponential, quadratic, absolute value, step, piecewise-defined.] F-IF 7a. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima.* Topic 6: Moving beyond slope-intercept: Exploring 1, "Using slopeintercept form" page 10 Topic 6: Moving beyond slope-intercept: EX 3, "Intercepts and standard form" pp 6-8 Topic 18: Modeling with quadratic functions: Exploring 4, "Using y = ax 2 + bx + c to model data" pages 3-6 F-IF 7b. F-IF 7e. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.* Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. * Topic 9: Absolute value and piecewise functions: Exploring 1, "The definitions of absolute value" Topic 9: Absolute value and piecewise functions: Exploring 4, "Other piecewise functions" Topic 12: Other nonlinear relationships: EX 3, Cubic and cube root functions Topic 14: Exponential functions and equations: Exploring 1, "Comparing linear and exponential growth" Topic 18: Modeling with quadratic functions: Exploring 4, "Using y = ax 2 + bx + c to model data" pp 5-6 pages 2, 5, and 11 page 4 pages 3-6 F-IF 8a. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. Topic 18: Modeling with quadratic functions: Exploring 3, "Completing the square" Topic 19: Solving quadratic equations: Exploring 2, "Solving by factoring" pages 2, 5, and 7 page 3 Topic 19: Solving quadratic equations: Exploring 3, "Roots, factors, and zeros" page 3 F-IF 8b. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02) t, y = (0.97) t, y = (1.01) 12t, and y = (1.2) t/10, and classify them as representing exponential growth or decay. Topic 14: Exponential functions and equations: Guided assessment, pages 5 and 7 F-IF 9. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum. Topic 3: Functions: Exploring 3, "Graphs" page 9 Agile Mind Algebra I Alignment to TN CCSS 6
Build a function that models a relationship between two quantities. [For F.BF.1, 2, linear, exponential, and quadratic.] F-BF 1a. Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context.* Topic 2: Multiple representations in the real world: Exploring 1 "Tiling square pools" page 6 Topic 6: Moving beyond slope-intercept: Exploring 1, "Using slopeintercept form" pages 2, 6, 10 Topic 12: Other nonlinear relationships: Exploring 1, "Building blocks" Topic 12: Other nonlinear relationships: Exploring 2, "Too many triangles" page 4 page 5 Topic 14: Exponential functions and equations: Exploring 3, "Modeling with exponential functions" page 2 Topic 16: Graphs of quadratic functions: Exploring 2, "y = x 2 + c " pages 1-4 Build new functions from existing functions. [Linear, exponential, quadratic, and absolute value; for F.BF.4a, linear only.] F-BF 3. Identify the effect on the graph of replacing f (x ) by f (x ) + k, kf (x ), f (kx ), and f (x + k ) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Topic 6: Moving beyond slope-intercept: Exploring, "m, b, and the graph of y = mx + b" Topic 7: Creating linear models for data: Exploring 3, "Transformations on linear functions" Topic 14: Exponential functions and equations: Exploring 1, "Comparing exponential and linear growth" Topic 16: Graphs of quadratic functions: Exploring 3, "Changes to the parent function" Topic 18: Modeling with quadratic functions: Exploring 2, "Quadatic forms" pp 1-2 page 6 pp 4-5 and pp 7 pp 5-7 Construct and compare linear, quadratic, and exponential models and solve problems. F-LE 1a. Distinguish between situations that can be modeled with linear functions and with exponential functions. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.* Topic 6: Moving beyond slope-intercept: Exploring 1, Using slopeintercept form page 12 F-LE 1b. Distinguish between situations that can be modeled with linear functions and with exponential functions. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.* 4, What s my rate Topic 5: Exploring rate of change in other situations: Exploring 1, Constant rates Topic 6: Moving beyond slope-intercept: Overview Topic 6: Moving beyond slope-intercept: Exploring 1, Using slopeintercept form Topic 6: Moving beyond slope-intercept: Exploring 3, Point-slope form ; Topic 14: Exponential functions and equations: Exploring 1 Comparing exponential and linear growth Agile Mind Algebra I Alignment to TN CCSS 7
F-LE 1c. F-LE 2. Distinguish between situations that can be modeled with linear functions and with exponential functions. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.* Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).* Topic 14: Exponential functions and equations: Exploring 3 Modeling with exponential functions Topic 6: Moving beyond slope-intercept: Overview, pp 1-3 Topic 6: Moving beyond slope-intercept: Exploring 1, "Using slopeintercept form" page 2, pp 6-7 and page 10 Topic 6: Moving beyond slope-intercept: Exploring 4, "Point-slope form" pages 5 and 7; Topic 7: Creating linear models for data: Exploring 2, "Rate of change" page 5 Topic 14: Exponential functions and equations: Exploring 1, "Comparing linear and exponential growth" pp 3-4; F-LE 3. Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.* Topic 14: Exponential functions and equations: Exploring 1, "Comparing linear and exponential growth" pages 4 and 7 Interpret expressions for functions in terms of the situation they model. F-LE 5. Interpret the parameters in a linear or exponential function in terms of a context.* [Linear and exponential of form f(x)=b x +k.] Summarize, represent, and interpret data on a single count or measurement variable. Topic 2: Multiple representations in the real world: Constructed response Topic 14: Exponential functions and equations: Exploring 1, "Comparing linear and exponential growth" pp 4-5 S-ID 1. Represent data with plots on the real number line (dot plots, histograms, and box plots).* Topic 15: Descriptive statistics: Exploring 1, "Measures of center" S-ID 2. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.* Topic 15: Descriptive statistics, Exploring 2, "Measures of spread" S-ID 3. Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).* Topic 15: Descriptive statistics, Exploring 2, "Bivariate categorical data" Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus, discuss general principle.] S-ID 5. Summarize categorical data for two categories in two-way frequency tables. Interpret Topic 15: Descriptive statistics, Exploring 3, "Bivariate categorical relative frequencies in the context of the data (including joint, marginal, and conditional data" relative frequencies). Recognize possible associations and trends in the data.* S-ID 6a. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models * Topic 7: Creating linear models for data: Exploring 1, "Trend lines" pp 1-2 Topic 7: Creating linear models for data: Exploring 4, "Line of best fit" Topic 14: Exponential functions and equations: Constructed response Topic 18: Modeling with quadratic functions: Exploring 4, Using y = ax 2 + bx + c to model data Agile Mind Algebra I Alignment to TN CCSS 8
S-ID 6b. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Informally assess the fit of a function by plotting and analyzing residuals.* Topic 7: Creating linear models for data: Exploring 4, "Line of best fit" pp 7-8 S-ID 6c. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a linear function for a scatter plot that suggests a linear association.* Topic 7: Creating linear models for data: Exploring 1, "Trend lines" pp 1-2 Topic 7: Creating linear models for data: Exploring 2, Rate of change Topic 7: Creating linear models for data: Exploring 4, "Line of best fit" Interpret linear models. S-ID 7. Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.* Topic 6: Moving beyond slope-intercept: More practice, pages 4 and 7 Topic 7: Creating linear models for data: Exploring 2, "Rate of change" Topic 7: Creating linear models for data: Exploring 4, "Line of best fit" S-ID 8. Compute (using technology) and interpret the correlation coefficient of a linear fit.* Topic 7: Creating linear models for data: Exploring 4, "Line of best fit" S-ID 9. Distinguish between correlation and causation.* Topic 7: Creating linear models for data: Exploring 2, "Rate of change" MATHEMATICAL PRACTICES MP 1. Make sense of problems and persevere in solving them. Topic 5: Exploring rate of change in other situations: MARS Task: "Differences"; Topic 10: Systems of linear equations and inequalities: MARS Task: "Pathways"; page 6 page 2 (panel 4) pp 2-3 pp 11-13 Topic 12: Other nonlinear relationships: MARS Task: "Patchwork"; Block 2 MP 2. Reason abstractly and quantitatively. Topic 10: Systems of linear equations and inequalities: MARS Task: "Pathways"; Topic 12: Other nonlinear relationships: MARS Task: "Patchwork"; Block 2 MP 3. Construct viable arguments and critique the reasoning of others. Topic 5: Exploring rate of change in other situations: MARS Task: "Differences"; Topic 10: Systems of linear equations and inequalities: MARS Task: "Pathways"; MP 4. Model with mathematics. Topic 7: Creating linear models for data: EX 2, "Rate of change" Topic 10: Systems of linear equations and inequalities: MARS Task: "Pathways"; Topic 14: Exponential functions and equations: EX 1, "Comparing linear and exponential growth" Agile Mind Algebra I Alignment to TN CCSS 9
MP 5. Use appropriate tools strategically. Topic 12: Other nonlinear relationships: MARS Task: "Patchwork"; Block 2 Topic 18: Modeling with quadratic functions: EX 1, "Using y = ax 2 + c to model data" Topic 18: Modeling with quadratic functions: Exploring 3, "Completing the square," pages 1, 4, and 6 MP 6. Attend to precision. Topic 1: Constructing graphs: Exploring 1, "Representing data" Topic 1: Constructing graphs: Exploring 2 "Focus on the action," pg 4 4, "What's my rate," page 3 MP 7. Look for and make use of structure. Topic 5: Exploring rate of change in other situations: MARS Task: "Differences"; Topic 17: Operations on polynomials: Exploring 3, "Factoring" MP 8. Look for and express regularity in repeated reasoning. Topic 12: Other nonlinear relationships: MARS Task: "Patchwork"; Block 2 Agile Mind Algebra I Alignment to TN CCSS 10