A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | AA | AB | AC | AD | |
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1 | Math Honors Algebra II | |||||||||||||||||||||||||||||
2 | Math Item Specifications | DESE Prioriity Standards | Resources located in "Algebra 2" Google Shared Drive | Highlighted GREEN indicates a Priority Standard | ||||||||||||||||||||||||||
3 | Proficiency Scales | Standards for Mathematical Practices | Effective Mathematics Teaching Practices | |||||||||||||||||||||||||||
4 | Essential Skills Embedded throughout the SDOW Curriculum: Link | |||||||||||||||||||||||||||||
5 | Professional Communication | Critical Thinking | Emotional Intelligence | Time Management/Organization | Leadership | |||||||||||||||||||||||||
6 | Technology | Digital Citizenship | Learning from Failure | Conflict Resolution | Teamwork | |||||||||||||||||||||||||
7 | Unit 1: Equations and Inequalities (Review of Algebra I) | PLC Questions I: What is it the student is to know and do? Critical Area of Focus: Solve an linear equations using communative, distributive, asosociative properties and with variables on both sides. Include order or opertions and fractions. Common Language: Multi Step Equation, Inequality, Solution Set, Solution of an Inequality, Graph of an Inequality, Compound Inequality, Absolute Value Inequality | DOK | Introduce (I) Dev. Mastery (DM) Master (M) Reinforce (R) | ||||||||||||||||||||||||||
8 | Essential Question: | What is an equation? How do you create and solve equations? | 1st | 2nd | 3rd | 4th | ||||||||||||||||||||||||
9 | Strand: A1.NQ.B | Use units to solve problems. | ||||||||||||||||||||||||||||
10 | A1.NQ.B.3 | Use units of measure as a way to understand and solve problems involving quantities. a.Identify, label and use appropriate units of measure within a problem. b.Convert units and rates. c.Use units within problems. d.Choose and interpret the scale and the origin in graphs and data displays. | 1 | R | ||||||||||||||||||||||||||
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12 | Strand: A1.CED.A | Create equations that describe linear, quadratic and exponential relationships. | ||||||||||||||||||||||||||||
13 | A1.CED.A.1 | Create equations and inequalities in one variable and use them to model and/or solve problems. | 3 | R | ||||||||||||||||||||||||||
14 | A1.CED.A.4 | Solve literal equations and formulas for a specified variable that highlights a quantity of interest. | 2 | R | ||||||||||||||||||||||||||
15 | Strand: A1.REI.A | Understand solving equations as a process, and solve equations and inequalities in one variable. | ||||||||||||||||||||||||||||
16 | A1.REI.A.1 | Explain how each step taken when solving an equation or inequality in one variable creates an equivalent equation or inequality that has the same solution(s) as the original. | 2 | R | ||||||||||||||||||||||||||
17 | A.2.REI.A.1 | A2.REI.A.1 Create and solve equations and inequalities, including those that involve absolute value | I can create and solve equations and inequalities, including those that involve absolute value. (A2.REI.A.1) | 3 | DM/M | |||||||||||||||||||||||||
18 | Strand: A1.SSE.A | Interpret and use structure. | ||||||||||||||||||||||||||||
19 | SDOW.SSE | Choose and produce an equivalent form of an expression involving a fraction and order of operations without a calculator. | 4 | R | ||||||||||||||||||||||||||
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21 | Unit 2: Systems of Linear Equations & Inequalities | Critcal Area of Focus: Graphing a system of equation and inequality, including absolute value. Solve system of equations, including substitution and elimination. Common Language: Inequality, Solution Set, Solution of an Inequality, Graph of an Inequality, Compound Inequality, Absolute Value Inequality, System of Linear Equation, Solution of a System of Linear Equations, Substitution, Elimination, One Solution, No Solution, Infinitely Many Solutions, System of Linear Inequalities, Solution of a System of Linear Inequalities, Graph of a System of Linear Inequalities | DOK | Introduce (I) Dev. Mastery (DM) Master (M) Reinforce (R) | ||||||||||||||||||||||||||
22 | Essential Question: | How can you solve a system of linear equations in 2/3 variables? | ||||||||||||||||||||||||||||
23 | Strand: A2.REI.B | Solve general systems of equations and inequalities. | ||||||||||||||||||||||||||||
24 | A2.REI.B.3 | Create and solve systems of equations and inequalities. Interpret solutions as viable or nonviable options in a modeling context. Including simple systems with 3 variables. | I can create and solve systems of equations that may include non-linear equations and inequalities. (A2.REI.B.3) | 3 | DM | |||||||||||||||||||||||||
25 | Strand: A2.REI.A | Solve equations and inequalities. | ||||||||||||||||||||||||||||
26 | A2.REI.A.1 | Create and solve equations and inequalities, including those that involve absolute value. 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. | I can create and solve equations and inequalities, including those that involve absolute value. (A2.REI.A.1) | 3 | DM | DM | M | |||||||||||||||||||||||
27 | Unit 3: Linear Equations & Functions | Critical Area of Focus: Graph a linear equation. Finding slope including parallel and perpendicular lines. Write equation of line in slope-intercept, standard, and point-slope form. Common Language: Linear Equation, Slope, Perpendicular Lines, Parallel Lines, X-Intercept, Y-Intercept, Slope-Intercept Form, Standard Form, Point-Slope Form | DOK | Introduce (I) Dev. Mastery (DM) Master (M) Reinforce (R) | ||||||||||||||||||||||||||
28 | Essential Question: | How do you graph linear equations? How do you write the equation of a line? How do you graph transformations of functions? How do you describe transformed functions? | ||||||||||||||||||||||||||||
29 | Strand: A1.CED.A | Create equations that describe linear, quadratic and exponential relationships. | ||||||||||||||||||||||||||||
30 | A1.CED.A.2 | Create and graph linear, quadratic and exponential equations in two variables. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. Interpret the parameters in a linear or exponential function in terms of a context. | 3 | R | ||||||||||||||||||||||||||
31 | Strand: A1.IF.C | Analyze linear, quadratic and exponential functions using different representations. | ||||||||||||||||||||||||||||
32 | A1.IF.C.7 | Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. (a) Graph linear and quadratic functions and show intercepts, maxima, and minima. | 2 | R | ||||||||||||||||||||||||||
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34 | Strand: A2.APR.A | Perform operations on polynomials and rational expressions. | ||||||||||||||||||||||||||||
35 | A2.APR.A.5 | Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial. 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 piece-wise defined functions including step functions and absolute value. | 2 | I | DM | DM | M | |||||||||||||||||||||||
36 | Strand: A2.IF.A | Use and interpret functions. | ||||||||||||||||||||||||||||
37 | A2.IF.A.1 | Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems. Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. | I can identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems. (A2.IF.A.1 | 4 | I | DM | DM | M | ||||||||||||||||||||||
38 | A2.IF.A.2 | Translate between equivalent forms of functions. 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. | 3 | I | DM | DM | DM | |||||||||||||||||||||||
39 | Strand: A1.DS.A | Summarize, represent and interpret data. | ||||||||||||||||||||||||||||
40 | A1.DS.A.5 | Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship. a.Construct a linear function to model bivariate data represented on a scatter plot that minimizes residuals. b.Construct an exponential function to model bivariate data represented on a scatter plot that minimizes residuals. | 4 | R | ||||||||||||||||||||||||||
41 | A1.DS.A.6 | Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data. | 3 | R | ||||||||||||||||||||||||||
42 | A1.DS.A.7 | Determine and interpret the correlation coefficient for a linear association. | 3 | R | ||||||||||||||||||||||||||
43 | A1.DS.A.8 | Distinguish between correlation and causation. | 2 | R | ||||||||||||||||||||||||||
44 | Strand: A2.BF.A | Create new functions from existing functions. | ||||||||||||||||||||||||||||
45 | A2.BF.A.3 | A2.BF.A.3 Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections and dilations (expansions/compressions) for linear, quadratic, cubic, square and cube root, absolute value, exponential, and logarithmic functions | I can describe the effects of transformations algebraically and graphically. (A2.BF.A.3) | 2 | DM | DM | M | |||||||||||||||||||||||
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