Linear Functions

Standards

• CCSS.MATH.CONTENT.HSA.REI.C.9 — (+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
• CCSS.MATH.CONTENT.HSF.LE.A.1.A — Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
• CCSS.MATH.CONTENT.HSF.LE.A.1.C — Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
• CCSS.MATH.CONTENT.HSF.LE.A.1 — Distinguish between situations that can be modeled with linear functions and with exponential functions.
• CCSS.MATH.CONTENT.HSF.LE.A.1.B — Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
• CCSS.MATH.CONTENT.6.EE.A.2.B — Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
• CCSS.MATH.CONTENT.HSF.LE.A.2 — 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).
• CCSS.MATH.CONTENT.HSA.REI.C.8 — (+) Represent a system of linear equations as a single matrix equation in a vector variable.
• CCSS.MATH.CONTENT.HSF.LE.A.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.
• CCSS.MATH.CONTENT.HSA.REI.C.6 — Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
• CCSS.MATH.CONTENT.HSF.LE.B.5 — Interpret the parameters in a linear or exponential function in terms of a context.
• CCSS.MATH.CONTENT.HSA.REI.D.12 — 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.
• CCSS.MATH.CONTENT.HSF.LE.A.4 — For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
• CCSS.MATH.CONTENT.HSF.IF.C.7.A — Graph linear and quadratic functions and show intercepts, maxima, and minima.
• CCSS.MATH.CONTENT.HSA.REI.C.7 — Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
• CCSS.MATH.CONTENT.6.SP.B.5.C — Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
• CCSS.MATH.CONTENT.HSA.REI.B.3 — Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.