Algebra II Unit I

“Algebra II” – Unit I High School Mathematics “Advanced Algebra – An Algebra II Course” 14 - 18 Days

DEPTH for ESSENTIAL STANDARD ESSENTIAL QUESTION Sections COMMENTS MASTERY 1 - Solves problems throughout this How do we use problem All Throughout course that involve: solving skills? course -selecting appropriate approaches and tools, -using estimating strategies to predict computational results, and -judging reasonableness of results. 2 - Solves problems that relate concepts How is technology useful in All Throughout to other concepts and to practical solving problems? course applications using tools such as scientific or graphing calculators and computers. 3 - Identifies and lists the properties of How can we identify All 1.7 the real number system in algebraic different number sets? proofs. 4 - Solves formulas for one variable. How do we solve one- All 2.4 Supplement with literal variable equations? equations

5 - Solves and graphs linear inequalities How do we solve one All 2.4 *Not absolute value in one variable, including compound variable, including inequalities and absolute value equations compound inequalities and and inequalities. absolute value equations and inequalities? 6 - Identifies and graphs linear equations -How do we identify and All 2.1, 2.2, *Use math toolbox p. 11 in two variables, including vertical and graph linear equations in 2.3, 2.5 (review slope formula) horizontal lines, two variables? - Writes equations for lines using various -How do we write linear combinations of required information equations? (such as slope, intercepts, points on the line.) DEPTH for ESSENTIAL STANDARD ESSENTIAL QUESTION Sections COMMENTS MASTERY 7 - Identifies, defines, and graphs What is a relation, domain, All 1.3 relations, and states their domain and and range? range. 8 - Identifies relations that are functions. -What is a function? All 1.3, 1.4 *Teach vertical line test -Names functions by using multiple representations. -What does f(x) mean? -Defines functions, draws their graphs, and evaluates f(x) for given values of x, including the absolute value function. 9 - Determines the composition of two -What is a composition of All 1.4 *Stress multiple representations functions, using multiple representations, functions? for functions (different ways to such as f(g(x)) or (f o g)(x). -What are the different write f(g(x)). notations for functions? *Remember (f +g)(x), (f-g)(x), etc. 17 - Solves problems using rational equations, including proportions, rate, and How do you solve problems variation (direct, inverse, or joint) involving proportions, rates, 2.2 *Direct variation only problems and variations?

27 - Solves problems using quadratics, such as problems involving motion and How do we make maximum/minimum values. predictions using linear 1.1, 1.2 *Use math toolbox page 19 -Makes predictions from collected data regression? using regression techniques 32 - Recognizes the graph of an inverse How do you solve direct variation as a hyperbola and solves and inverse variation 2.2 *Direct variation only! problems involving both direct and problems? inverse variation.