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MA 11.1 Number
- MA 11.1.2 Students will compute with real and complex numbers.
- MA 11.1.2.b Simplify expressions with rational exponents.
- MA 11.1.2.c Select, apply, and explain the method of computation when problem solving using real numbers (e.g., models, mental computation, paper-pencil, or technology).
- MA 11.1.2.d Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation (including appropriate rounding) or an exact number.
- Checkpoint opportunity
MA 11.2 Algebra
- MA 11.2.1 Students will demonstrate, represent, and show relationships with functions.
- MA 11.2.1.a Define a function and use function notation.
- MA 11.2.1.b Analyze a relation to determine if it is a function given graphs, tables, or algebraic notation.
- MA 11.2.1.c Classify a function given graphs, tables, or algebraic notation, as linear, quadratic, or neither.
- MA 11.2.1.d Identify domain and range of functions represented in either algebraic or graphical form.
- MA 11.2.1.e Analyze and graph linear functions and inequalities (point-slope form, slope-intercept form, standard form, intercepts, rate of change, parallel and perpendicular lines, vertical and horizontal lines, and inequalities).
- MA 11.2.1.g Analyze and graph quadratic functions (standard form, vertex form, finding zeros, symmetry, transformations, determine intercepts, and minimums or maximums).
- Checkpoint opportunity
- MA 11.2.2 Students will apply the operational properties when evaluating rational expressions, and solving linear and quadratic equations, and inequalities.
- MA 11.2.2.a Convert equivalent rates (e.g., miles per hour to feet per second).
- MA 11.2.2.b Identify and explain the properties used in solving equations and inequalities.
- MA 11.2.2.c Simplify algebraic expressions involving integer and fractional exponents.
- MA 11.2.2.e Evaluate expressions at specified values of their variables (polynomial, rational, radical, and absolute value).
- MA 11.2.2.f Solve an equation involving several variables for one variable in terms of the others.
- MA 11.2.2.g Solve linear and absolute value equations and inequalities.
- MA 11.2.2.h Analyze and solve systems of two linear equations and inequalities in two variables algebraically and graphically.
- MA 11.2.2.i Perform operations (addition subtraction, multiplication, and division) on polynomials.
- MA 11.2.2.j Factor polynomials to include factoring out monomial terms and factoring quadratic expressions.
- MA 11.2.2 k. Recognize polynomial multiplication patterns and their related factoring patterns (e.g., (a + b)² = a² + 2ab + b², a² – b² = (a + b) (a – b)).
- MA 11.2.2.n Solve quadratic equations involving real coefficients and real or imaginary roots.
- Checkpoint opportunity
- MA 11.2.3 Students will solve real-world problems involving linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions.
- MA 11.2.3.a Analyze, model, and solve real-world problems using various representations (graphs, tables, linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions).
- Checkpoint opportunity
MA 11.4 Data
- MA 11.4.2 Students will analyze data to address the situation.
- MA 11.4.2.a Identify and compute measures of central tendency (mean, median, mode) when provided data both with and without technology.
- MA 11.4.2.b Explain how transformations of data, including outliers, affect measures of central tendency.
- MA 11.4.2.c Compare data sets and formulate conclusions.
- MA 11.4.2.d Support conclusions with valid arguments.
- MA 11.4.2.e Develop linear equations for linear models to predict unobserved outcomes using the regression line and correlation coefficient with technology.
- MA 11.4.2.f Describe the shape, identify any outliers, and determine the spread of a data set.
- MA 11.4.2.i Using scatter plots, analyze patterns and describe relationships in paired data.
- MA 11.4.2.j Recognize when arguments based on data confuse correlation with causation.
- Checkpoint opportunity