€¦ · Web viewALCOS 39: Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more

Huntsville City SchoolsPacing Guide 2016 - 2017Course Algebra I Grade 9th

Note: Please see documents on A+ College Ready website for more details.ixl.com alignment for Pearson textbook is in the table at the end of the pacing guide.

Links and Additional Resources Dan Meyer Blog

http://blog.mrmeyer.com/category/3acts/ Dan Meyer List of Activities

https://docs.google.com/spreadsheet/ccc?

key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0

Granite City Math Vocabulary http://www.graniteschools.org/mathvocabulary/

Things to Remember:1. Mixed Reviews are at end of each section. The teacher book has a list of standards next to questions.

2. Interactmath.com, commoncorepal.com, and poweralgbra.com are good resources for practice and review.3. Cumulative Standards Review is located at the end of each chapter for in-depth practice problem.

Huntsville City Schools

http://www.graniteschools.org/mathvocabulary/

http://www.graniteschools.org/mathvocabulary/

https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0



http://blog.mrmeyer.com/category/3acts/

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www.bitingintothecore.com/standards-for-mathematical-practice.html&ei=l2qNVfTiI8ffsAWliLeQCA&bvm=bv.96783405,d.cGU&psig=AFQjCNHECQINL2gHLx705RSGxas0r8sZoQ&ust=1435417620765078

Pacing Guide 2016 - 2017Algebra I Ninth Grade by Standards

First Nine WeeksBasic Number, Quantity, Algebra, & Intro to Functions

Standard Resources

Approximate Pacing

Number of Days: 41

days

Unit: Basic Number & QuantityThe Real Number SystemUse properties of rational and irrational numbersALCOS 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer’s exponents to those values, allowing for a notation for radicals in terms of rational exponents. [N-RN1] Example: We define 51/

3 to be the cube root of 5 because we want (51/

3)3 = 5(1/3

)3 to hold, so (51/3)3 must equal 5.

F.1.a Exploring advanced Functions; Rational and Radical Expressions, Equations and Functions; a. Use properties of exponents (including zero and negative exponents) to evaluate and simplify expressions.

Pearson (textbook): 7-1, 7-2, 7-3, 7-4

ALCOS 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2]

F.1.a Exploring advanced Functions; Rational and Radical Expressions, Equations and Functions; a. Use properties of exponents (including zero and negative exponents) to evaluate and simplify expressions.

Pearson (textbook): 7-5

Extend the properties of exponents to rational exponentsALCOS 3: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. [N-RN3]F.1.d. Exploring advanced Functions; Rational and Radical Expressions, Equations and Functions; d. Final rational number square roots (without calculators) and approximate irrational square roots (with and without calculators)

Pearson (textbook): CB 1-6

F.1.e. Exploring advanced Functions; Rational and Radical Expressions, Equations, and Functions; e. Evaluate and simplify radical expressions. F.1.f. Exploring advanced Functions; Rational and Radical Expressions, Equations, and Functions; f. Multiply radical expressions.QuantitiesReason quantitatively and use units to solve problems. (Foundation for work with expressions, equations, and functions.)ALCOS 4: Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. [N-Q1]

D.1.a. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; a. Solve single-step and multistep equations and inequalities in one variable.

Pearson (textbook): 2-5, CB 2-5: , 2-6, 2-7, 4-4

Other: LTF: Connecting a Verbal Description to a Table or Graph LTF: Walk the Line LTF: Literal Equations-Reviewing and Foreshadowing

ALCOS 5: Define appropriate quantities for the purpose of descriptive modeling. [N-Q2]

Pearson (textbook): CB 2-5, 2-6, 3-3, 4-5

Other: LTF: Literal Equations-Reviewing and Foreshadowing

ALCOS 6: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. [N-Q3]


Unit: Basic Algebra/Pre-AlgebraSeeing Structure in ExpressionsInterpret the structure of expressions. (Linear, exponential, quadratic.)ALCOS 7: Interpret expressions that represent a quantity in terms of its context. [A-SSE1]

a. Interpret parts of an expression such as terms, factors, and coefficients. [A-SSE1a]

C.1.b. Establishing Number Sense and Operation Skills; 1. Foundations; b. Translate real-world problems into expressions using variables to represent values.

Pearson (textbook): 1-1, 1-2, 3-7, 4-5, 4-7, 5-3, 5-4, 7-7, 7-8, 8-5, 8-6, 8-7, 8-8, 9-5

ALCOS 7: Interpret expressions that represent a quantity in terms of its context. [A-SSE1]

b. Interpret complicated expressions by viewing one or more of their parts as a single entity. [A-SSE1b]Example: Interpret P(1+r)n as the product of P and a factor not depending on P.


Pearson (textbook): 3-7, 4-7, 7-7, 8-6, 8-7, 8-8, 9-5

Unit: Intro to FunctionsCreate Equations Create equations that describe numbers or relationships. (Linear, quadratic, and exponential (integer inputs only); for Standard 14, linear only.)

ALCOS 12: Create equations and inequalities in one variable, and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [A-CED1]

C.1.b. Establishing Number Sense and Operation Skills; 1. Foundations; b. Translate real-world problems into expressions using variables to represent values.D.1.a. Exploring Expressions, Equation, and Functions in the First given Degree; 1. Expressions, Equations, and Inequalities; a. Solve single-step and multistep equations and inequalities in one variable.D.1.e. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; e. Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation. D.2.a. Exploring Expressions. Equation, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Graph linear inequalities in one variable on the real number line to solve problems. F.1.b Exploring advanced Functions; Rational and Radical Expressions, Equations and Functions; b. Evaluate and simplify rational expressions.

Pearson (textbook): 1-8, 2-1, 2-2, 2-3, 2-4, 2-5, 2-7, 2-8, 3-2, 3-3, 3-4, 3-6, 3-7, 3-8, 9-3, 9-4, 9-5, 9-6, 11-5

Other: LTF: Linear Functions LTF: Literal equations- Reviewing and Foreshadowing

ALCOS 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]

C.1.b. Establishing Number Sense and Operation Skills; 1. Foundations; b. Translate real-world problems into expressions using variables to represent values.D.1.a. Exploring Expressions, Equation, and Functions in the First given Degree; 1. Expressions, Equations, and Inequalities; a. Solve single-step and multistep equations and inequalities in one variable.D.1.e. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; e. Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation. D.1.f. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; f. Identify, formulate, and obtain solutions to problems involving direct and inverse variation. D.2.a. Exploring Expressions. Equation, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Graph linear inequalities in one variable on the real number line to solve problems. D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between different representations of relations and functions: graphs, equations, sets of ordered pairs, verbal descriptions, and tables.

Pearson (textbook): 1-9, 4-5

Other: LTF: Connecting a Verbal Description to a Table or Graph LTF: Walk the Line

ALCOS 15: Rearrange formulas to highlight a quantity of interest, Pearson (textbook): 2-5

using the same reasoning as in solving equations. [A-CED4] Example: Rearrange Ohm’s law V = IR to highlight resistance R.

D.1.c. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; c. Solve formulas for a specified variable.

Other: LTF: Literal Equations – Reviewing and Foreshadowing LTF: Linear Functions

Reasoning with Equations and InequalitiesUnderstand solving equations as a process of reasoning and explain the reasoning. (Master linear; learn as general principle.)ALCOS 16: 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. [A-REI1]

D.2.a Exploring Expressions, Equation, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Graph linear inequalities in one variable on the real number line to solve problems.


Other: LTF: Literal Equations – Reviewing and Foreshadowing

Solve equations and inequalities in one variable. (Linear inequalities; literal that are linear in the variables being solved for; quadratics with real solutions.)ALCOS 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [A-REI3]

D.1.a. Exploring Expressions, Equation, and Functions in the First given Degree; 1. Expressions, Equations, and Inequalities; a. Solve single-step and multistep equations and inequalities in one variable.D.2.a. Exploring Expressions. Equation, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Graph linear inequalities in one variable on the real number line to solve problems.

Pearson (textbook): 2-1, 2-2, 2-3, 2-4, 2-5, 2-7, 2-8, 3-2, 3-3, 3-4, 3-5, 3-6

Other: LTF: Literal Equations – Reviewing and Foreshadowing

Represent and solve equations and inequalities graphically. (Linear and exponential; learn as general principle.)ALCOS 22: 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). [A-REI10]

D.1.e. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; e. Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation. D.1.d. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; d. Identify graphs of relations and functions and analyze them to determine whether a relation is a functions (e.g., vertical line test).


Other: LTF: Connecting a Verbal Description to Table and Graph LTF: Discrete and Continuous Data

Other Resources for Chapters 1-3 Dan Meyer:Circle-SquareWorld Record AirbagFalling GlowsticksFalling Rocks

Other Resources for Chapter 4 Dan Meyer:Taco Cart

Algebra I Benchmark 1Power Standards include: A-CED12, A-CED15, A-REI17, A-REI16, A-SSE7.a(Note: Keep in mind that Chapter 2 and 3 can be covered together for the majority; However, Benchmark 1 will not have inequalities on it. Students will not see inequalities until Benchmark 2.)

Huntsville City SchoolsPacing Guide 2016 - 2017

Algebra I Ninth Grade by StandardsSecond Nine Weeks

Functions: Linear (Including Systems) & Exponential (Including Growth and Decay)

Standard Resources

Approximate Pacing

Number of Days: 44

days

Unit: Number & QuantitySeeing Structure in ExpressionsInterpret the structure of expressions. (Linear & Exponential)ALCOS 8: Use the structure of an expression to identify ways to rewrite it. [A-SSE2] Example: See x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a

difference of squares that can be factored as (x2 - y2)(x2 + y2).

E.1.a Exploring Quadratic Equations and Functions; 1.Equations and Inequalities; a. Factor perfect square trinomials and the difference of two squares. E.1.b Exploring Quadratic Equations and Functions; 1. Equations and Inequalities; b. Factor trinomials in the form ax2 + bx + c.F.1.e Exploring Quadratic Equations and Functions; e. Evaluate and simplify radical expressions.

Pearson (textbook): 5-3, 5-4, 5-5

Write expressions in equivalent forms to solve problems. (Exponential)ALCOS 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. [A-SSE3]

b. Use the properties of exponents to transform expressions for exponential functions. [A-SSE3c]Example: The expression 1.15t can be rewritten as (1.151/

12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.


F.1.e Exploring Quadratic Equations and Functions; e. Evaluate and simplify radical expressions.Create Equations Create equations that describe numbers or relationships. (Linear& exponential (integer inputs only); for Standard 14, linear only.)ALCOS 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]

C.1.b. Establishing Number Sense and Operation Skills; 1. Foundations; b. Translate real-world problems into expressions using variables to represent values.D.1.a. Exploring Expressions, Equation, and Functions in the First given Degree; 1. Expressions, Equations, and Inequalities; a. Solve single-step and multistep equations and inequalities in one variable.D.1.e. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; e. Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation. D.1.f. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; f. Identify, formulate, and obtain solutions to problems involving direct and inverse variation. D.2.a. Exploring Expressions. Equation, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Graph linear inequalities in one variable on the real number line to solve problems. D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between different representations of relations and functions: graphs, equations, sets of ordered pairs, verbal descriptions, and tables. .

Pearson (textbook): 1-9, 4-5, 5-2, 5-3, 5-4, 5-5

ALCOS 14: 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. [A-CED3] Example: Represent inequalities describing nutritional and cost constraints on combinations of different foods.


Other: LTF: Maximizing Profit

Reasoning with Equations and InequalitiesSolve systems of equations. (Linear-linear)

ALCOS 19: 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. [A-REI5]D.1.g. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; g. Solve systems of two equations using various methods, including elimination, substitution, and graphing with and without technology.


Other:

LTF: Painting the House LTF: Solving systems of Linear Equations

ALCOS 20: Solve systems of linear equations exactly and Pearson (textbook): 6-1, 6-2, 6-3, 6-4

approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [A-REI6]

D.1.g. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; g. Solve systems of two equations using various methods, including elimination, substitution, and graphing with and without technology.

Other: LTF: Painting the House LTF: Solving systems of Linear Equations

Represent and solve equations and inequalities graphically. (Linear and exponential; learn as general principle.)ALCOS 24: 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. [A-REI12]

D.2.e. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; e. Graph linear inequalities with two variables on the standard (x, y) coordinate plane.

Pearson (textbook): 6-5, 6-6, CB 6-6

Other: LTF: Maximizing Profit

Unit: Functions (linear & exponential)Interpreting FunctionsUnderstand the concept of a function and use function notation. (Learn as general principle; focus on linear and exponential and on arithmetic and geometric sequences.)ALCOS 25: 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). [F-IF1]

D.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b. Give the domain and range of relations and functionsD.2.c. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; c. Evaluate functions at given values. D.2.d. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; d. Identify graphs of relations and functions and analyze them to determine whether a relation is a function (e.g. vertical line test)


Other: LTF: Introduction to Function Notation LTF: Connecting Table Graph and Function Notation

ALCOS 26: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. [F-IF2]

D.2.c. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; c. Evaluate functions at given values.


Other: LTF: Introduction to Function Notation LTF: Connecting Table Graph and Function Notation

Interpret functions that arise in applications in terms of the context. (Linear & exponential)ALCOS 28: For a function that models a relationship between two Pearson (textbook): 4-2, 4-3, 5-3, 5-4, 5-5, 7-6, 7-7

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.* [F-IF4]

D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.D.2.h. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; h. Graph a linear equation using a table of values, x- and y- intercepts, slope intercept form, and technology.

Other: LTF: Analysis of Functions LTF: Translations of Linear Functions LTF: Write the equation of the Line Review

ALCOS 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [F-IF5] 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.

D.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b. Give the domain and range of relations and functions.


ALCOS 30: 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.* [F-IF6]

D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.


Other: LTF: Walk the Line (MG) LTF: Average Rate of Change (MG) LTF: Calculating Average Rate of Change LTF: Slope Investigation

Analyze functions using different representations. (Linear &exponential, absolute value)ALCOS 31:Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

a. Graph linear and quadratic functions, and show intercepts, maxima, and minima. [F-IF7a]



ALCOS 31:Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value

Pearson (textbook): 5-8, CB 5-8

Other: LTF: Piecewise functions

functions. [F-IF7b]

D.1.b. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; b. Solve equations that contain absolute value. D.2.e. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; e. Graph linear inequalities with two variables on the standard (x, y) coordinate plane.ALCOS 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] Example: Given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between different representations of relations and functions: Graphs, equations, sets of ordered pairs, verbal descriptions, and tables.


Other: LTF: Analysis of Functions LTF: Translations of Linear Functions

Building FunctionsBuild a function that models a relationship between two quantities. (For standards 34 and 35, linear & exponential.)ALCOS 34:Write a function that describes a relationship between two quantities.* [F-BF1]

a. Determine an explicit expression, a recursive process, or steps for calculation from a context. [F-BF1a]

D.2.h. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; h. Graph a linear equation using a table of values, x- and y- intercepts, slope intercept form, and technology.

Pearson (textbook): 4-7, 5-3, 5-4, 5-5, 7-8

Other: LTF: Write the equation of the Line Review

Build new functions from existing functions. (Linear, exponential, and absolute value.)ALCOS 36:Identify the effect on the graph of replacing f(x) by f(x) + k, k f(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. [F-BF3]

D.2.h. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; h. Graph a linear equation using a table of values, x- and y- intercepts, slope intercept form, and technology.

Pearson (textbook): 5-3, CB 5-3, 5-4, 5-8, 7-7

Linear, Quadratic, and Exponential ModelsConstruct and compare linear and exponential models and solve problems.

ALCOS 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [F-LE1] b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. [F-LE1b]

D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.


Other: LTF: Walk the Line (MG) LTF: Average Rate of Change (MG) LTF: Calculating Average Rate of Change LTF: Slope Investigation

ALCOS 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [F-LE1] c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. [F-LE1c]

G.1.d. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; d. Identify patterns of growth (e.g. patterns of exponential growth) in a set of data.


Other: LTF: Exponential Function Exploration

Interpret expressions for functions in terms of the situation they model. (Linear and exponential of form f(x) = ,𝑏-𝑥.+𝑘ALCOS 40: Interpret the parameters in a linear or exponential function in terms of a context. [F-LE5]


Other: LTF: Exponential Function Exploration LTF: Exponential Growth (Found under Mathematical

Foundations)Interpret Linear Models

ALCOS 46: Interpret the slope (rate of change) and intercept (constant term) of a linear model in the context of the data. [S-ID7]D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.


Other: LTF: Calculating Average Rate of Change LTF: Slope Investigation

Other Resources for Chapter 5 Dan Meyer:Penny Circle

Other Resources for Chapter 6 Dan Meyer:Circle-Square

Other Resources for Chapter 7 Non LTF Lesson available on apluscollegeready.com:How do you start and how do you change?

Dan Meyer:Super Stairs

Algebra I Benchmark 2

Power Standards include: A-CED13, A-REI20, F-IF30, F-IF31, F-IF25, F-IF26 (Also, all of Benchmark 1 standards, since Benchmark 2 is cumulative of 1st and 2nd 9weeks)


Algebra I Ninth Grade by StandardsThird Nine Weeks

Functions: Quadratics (include step and piecewise)

Standard Resources

Approximate Pacing

Number of Days: 41

days

Unit: Algebra& Quadratic Functions (Distributing polynomials & Factoring)Seeing Structure in ExpressionsInterpret the structure of expressions. (Linear, exponential, quadratic.)ALCOS 7: Interpret expressions that represent a quantity in terms of its context. [A-SSE1]

a. Interpret parts of an expression such as terms, factors, and coefficients. [A-SSE1a]



ALCOS 7: Interpret expressions that represent a quantity in terms of its context. [A-SSE1]

b. Interpret parts of an expression such as terms, factors, and coefficients. [A-SSE1a]



ALCOS 8: Use the structure of an expression to identify ways to rewrite it. [A-SSE2] Example: See x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a

difference of squares that can be factored as (x2 - y2)(x2 + y2).

E.1.a. Exploring Quadratic Equations and Functions; 1. Equations and Inequalities; a. Factor perfect square trinomials and the difference of two squares. F.1.e Exploring Quadratic Equations and Functions; e. Evaluate and simplify radical expressions.


Write expressions in equivalent forms to solve problems. (Quadratic and exponential)ALCOS 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. [A-SSE3]a.Factor a quadratic expression to reveal the zeros of the function it defines. [A.SSE3a]

C.1.e. Establishing Number Sense and Operation skills; 1. Foundations; e. Factor a monomial and polynomial. E.1.a. Exploring Quadratic Equations and Functions; 1. Equations and Inequalities; a. Factor perfect square trinomials and the difference of two squares. F.1.e Exploring Quadratic Equations and Functions; e. Evaluate and simplify radical expressions.


ALCOS 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. [A-SSE3]

c. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. [A-SSE3b]



ALCOS 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. [A-SSE3]

d. Determine a quadratic equation when given its graph or roots.


Pearson (textbook): 9-3, CB 9-3

Arithmetic With Polynomials and Rational ExpressionsPerform arithmetic operations on polynomials (Linear and quadratic.)ALCOS 10: 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. [A-APR1]

C.1.d. Establishing Number Sense and Operation Skills; 1. Foundations; d. Add & Subtract polynomials.


C.1.f. Establishing Number sense and Operation Skills; 1. Foundations; f. Multiply monomials, binomials, trinomials, and polynomials. Create Equations Create equations that describe numbers or relationships. (Linear, quadratic, and exponential (integer inputs only); for Standard 14, linear only.)ALCOS 12: Create equations and inequalities in one variable, and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [A-CED1]


ALCOS 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]

E.1.c. Exploring Quadratic Equations, and Functions; 1. Equations and Inequalities; c. Solve quadratic equations using multiple methods, including graphing, factoring, and the square root principle. E.2.b. Exploring Quadratic Equations and Functions; 2. Graphs, Relations, and Functions; b. Relate factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions.


Reasoning with Equations and InequalitiesSolve equations and inequalities in one variable. (Linear inequalities; literal that are linear in the variables being solved for; quadratics with real solutions.)ALCOS 18: Solve quadratic equations in one variable. [A-REI4]

a. 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. [A-REI4a]

E.1.c. Exploring Quadratic Equations, and Functions; 1. Equations and Inequalities; c. Solve quadratic equations using multiple methods, including graphing, factoring, and the square root principle. D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between different representations of relations and functions: graphs, equations, sets of ordered pairs, verbal descriptions, and tables. .


ALCOS 18: Solve quadratic equations in one variable. [A-REI4]b. Solve quadratic equations by inspection (e.g., for x2 = 49),

taking square roots, completing the square and the quadratic formula, and factoring as appropriate to the initial form of the equation.[A-REI4b]

E.1.c. Exploring Quadratic Equations, and Functions; 1. Equations and Inequalities; c. Solve quadratic equations using multiple methods, including graphing, factoring, and the square root principle. D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between


different representations of relations and functions: graphs, equations, sets of ordered pairs, verbal descriptions, and tables. .Reasoning with Equations and InequalitiesSolve systems of equations. (Linear-linear and linear-quadratic)ALCOS 21: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. [A-REI7]

Example: Find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.


Reasoning with Equations and InequalitiesRepresent and solve equations and inequalities graphically. (Linear and exponential; learn as general principle.)ALCOS 23: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.* [A-REI11]

D.1.g. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; g. Solve systems of two equations using various methods, including elimination, substitution, and graphing with and without technology.D.1.b Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; b. Solve equations that contain absolute value.

Pearson (textbook): CB 4-4, CB 6-1, 7-6, 9-8

Interpreting FunctionsInterpret functions that arise in applications in terms of the context. (Linear, exponential, and quadratic.)ALCOS 28: 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.* [F-IF4]

Pearson (textbook): 9-1, 9-2, 9-7,

ALCOS 29:Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [F-IF5] 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.

D.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b. Give the domain and range of relations and functions


ALCOS 30: 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.* [F-IF6]


D.2.g. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; g. Recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points, or a verbal description.Interpreting FunctionsAnalyze functions using different representations. (Linear, exponential, quadratic, absolute value, step, and awareness of piecewise-defined.)ALCOS 31:Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

a. Graph linear and quadratic functions, and show intercepts, maxima, and minima. [F-IF7a]



ALCOS 31:Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. [F-IF7b]

D.1.b. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; b. Solve equations that contain absolute value. D.2.e. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; e. Graph linear inequalities with two variables on the standard (x, y) coordinate plane.E.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b, Relate factors, solutions, (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions.


ALCOS 32: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [F-IF8]

a. 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. [F-IF8a]

E.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b, Relate factors, solutions, (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions.


ALCOS 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9]


Example: Given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

D.2.i. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; i. Translate between different representations of relations and functions: Graphs, equations, sets of ordered pairs, verbal descriptions, and tables. Building FunctionsBuild a function that models a relationship between two quantities. (For standards 34 and 35, linear, exponential, and quadratic.)ALCOS 34: Write a function that describes a relationship between two quantities.* [F-BF1]

b. Combine standard function types using arithmetic operations. [F-BF1b] Example: Build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.


Building FunctionsBuild new functions from existing functions. (Linear, exponential, quadratic, and absolute value.)ALCOS 36:Identify the effect on the graph of replacing f(x) by f(x) + k, k f(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. [F-BF3]

D.2.h. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; h. Graph a linear equation using a table of values, x- and y- intercepts, slope intercept form, and technology.E.2.a. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; a. Identify graphs of quadratic functions.E.2.b. Exploring Expressions, Equations, and Functions in the First Degree; 1. Graphs, Relations, and Functions; b. Relate factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions.


Linear, Quadratic, and Exponential ModelsConstruct and compare linear, quadratic, and exponential models and solve problems. ALCOS 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [F-LE1] a. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. [F-LE1a]G.1.d. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; c. Identify patterns of growth (e.g. patters of exponential growth) in a set of data.


ALCOS 39: Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial

Pearson (textbook): CB 9-2, 9-7

function. [F-LE3]Other Resources forChapters 8 & 9

LTF Lessons: Investigation- Graphing Quadratic Functions Graphing Quadratics Functions (Example 1) Analyzing Quadratic Functions (MG) Quadratic Optimization Another Way to Look at Factoring Graphing Quadratic Functions (Example 2 and problems 1,2)

Another great resource is Differentiating Instruction in Algebra 1 by Kelli Jurek. (Note: This book is not free or furnished for you. It has to be bought by you if you wish to use it. A teacher in the system has access to it (Ms. Hawkins at GHS). If you would like to see the resource before purchasing.)

Algebra I Benchmark 3Power Standards include:A-APR 10, A-REI 24, N-RN 1, N-RN 2, A-SSE 8

(Note: Keep in mind that Chapter 8 and 9 can be covered together for the majority; However, Benchmark 3 will not have solving quadratics on it. Students will not see the solving side of quadratics until EOC)


Algebra I Ninth Grade by StandardsFourth Nine Weeks

Sequences, Statistics & Probability

Standard Resources

Approximate Pacing

Number of Days: 52

days

Unit: Sequences & Rational Expressions/Functions

ALCOS 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3] Example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥1.

G.1.c. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; c. Identify arithmetic sequences and patterns in a set of data. G.1.d. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; d. Identify patterns of growth (e.g. patterns of exponential growth) in a set of data.


Other: LTF: Arithmetic Sequences (MG) LTF: Writing Equations Using Sequences

ALCOS 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

G.1.c. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; c. Identify arithmetic sequences and patterns in a set of data. G.1.d. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; d. Identify patterns of growth (e.g. patterns of exponential growth) in a set of data.



ALCOS 38: 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). [F-LE2]

Pearson (textbook): 4-7, 5-3, 5-4, 5-5, 7-6, 7-8, 9-7


D.1.e. Exploring Expressions, Equation, and Functions in the First Degree; 1. Expressions, Equations, and Inequalities; e. Write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation. G.1.c. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; c. Identify arithmetic sequences and patterns in a set of data.Arithmetic With Polynomials and Rational ExpressionsPerform arithmetic operations on polynomials (Linear and quadratic.)ALCOS 11: Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.


Other: LTF: Transformations of Functions Explorations LTF: Even/Odd Functions

Unit: Statistics & Probability

ALCOS 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [S-ID1]

G.1.a. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; a. Identify the effect on mean, median, mode, and range when a set of data is changed. G.1.b. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; b. Interpret data from line, bar, and circle graphs, histograms, scatter plots, box-and-whisker plots, stem-and leaf plots, and frequency tables to draw inferences and make predictions.


Other: Use Dotplots LTF: (Line Plots) to Determine Mean, Median, Mode, and

Range LTF: Analyzing Mean, Median, Mode and Range

ALCOS 42: 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. [S-ID2]

G.1.a. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; a. Identify the effect on mean, median, mode, and range when a set of data is changed. G.1.b. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; b. Interpret data from line, bar, and circle graphs, histograms, scatter plots, box-and-whisker plots, stem-and leaf plots, and frequency tables to draw inferences and make predictions. G.1.h. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; h. Identify the most efficient way to display data.

Pearson (textbook): 12-3, CB 12-3, 12-4

Other: LTF: Describing Distributions: Standard Deviation

ALCOS 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

G.1.b. Organizing and Analyzing Data and Applying Probability; 1.


Other: LTF: Describing Distributions: Standard Deviation

Data Relations, Probability, and Statistics; b. Interpret data from line, bar, and circle graphs, histograms, scatter plots, box-and-whisker plots, stem-and leaf plots, and frequency tables to draw inferences and make predictions. Interpreting Categorical and Quantitative DataSummarize, represent, and interpret data on two categorical and quantitative variables. (Linear focus, discuss general principle.)

ALCOS 44: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. [S-ID5]

G.1.g. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; g. Identify an approximate line of best fit to model data and make predictions.


Other: LTF: Does Gender Make a Difference?

ALCOS 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]

a. Fit a function to the data; use functions fitted to data to solve problems in the context of data. Use given function or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models. [S-ID6a]



Other: LTF: Fitting a Line to Data LTF: Use Dotplots


b. Informally assess the fit of a function by plotting and analyzing residuals


Pearson (textbook): CB 5-7, CB 9-7



c. Fit a linear function for scatter plot that suggests a linear association. [S-ID6c]




Conditional Probability and Rules of ProbabilityUnderstand independence and conditional probability and use them to interpret data. (Link to data from simulations or experiments.)

ALCOS 47: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their


probabilities, and use this characterization to determine if they are independent. [S-CP2]

G.1.e. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; e. Find the probability of a simple event. G.1.f. Organizing and Analyzing Data and Applying Probability; 1. Data Relations, Probability, and Statistics; f. Distinguish between independent and dependent events.

Other: Movie Probability (MG) Does Gender Make a Difference?

Algebra I EOC

IXL-Pearson Correlation Assignments

Pearson Chapter-Section IXL Assignments Pearson Chapter-Section IXL Assignments1.1 I.1, I.4 4.7 P.1-P.71.2 B.1, B.3, B.7 (Possibly V.1 & V.8) 5.1 S.2, S.3, S.41.3 A.1, A.2, A.4 5.2 R.1, R.2, R.3, R.4, R.51.4 H.1, H.2, H.3, H.4 5.3 S.5, S.6, S.7, S.81.5 B.2, B.4, B.6 5.4 S.17, S.18, S.191.6 A.3, A.7, B.5 5.5 S.12, S.13, S.141.7 (none) 5.6 S.20, S.211.8 I.5, I.6, I.7 5.7 N.61.9 J.2 5.8 DD.1, DD.2, DD.3, DD.42.1 J.3 6.1 U.1, U.2, U.42.2 J.4 6.2 U.82.3 J.5 6.3 U.5, U.102.4 J.6 6.4 U.3, U.9, U.11, U.13, U.14, U.152.5 S.9 6.5 T.1, T.2, T.3, T.42.6 C.1, C.2, C.3 (C.4) 6.6 T.5, T.62.7 C.5, C.6 7.1 V.32.8 C.7 7.2 V.42.9 D.1, D.2, D.3 7.3 V.7

2.10 D.4, D.5, D.6, D.7, D.8 7.4 V.5, V.6, V.93.1 K.1, K.2, K.3 7.5 V.103.2 K.4 7.6 X.1, X.23.3 K.5 (Mix of 3.2-3.2: K.6, K.7) 7.7 X.33.4 K.8, K.9, K.10, K.11 7.8 P.1-P.73.5 (none) 8.1 (Review with Y.1-Y.5) Z.1, Z.4, Z.53.6 K.12, K.13, K.14, K.15 8.2 Z.6, Z.10, AA.1, AA.23.7 L.1, L.2, L.3, L.4 8.3 Z.83.8 (none) 8.4 Z.94.1 Q.1 8.5 AA.34.2 Q.3, Q.13, Q.14 8.6 AA.44.3 S.1, Q.4, Q.5, Q.6 8.7 AA.54.4 Q.7, Q.8, Q.9 8.8 AA.7 (AA.8 is good review at this point)4.5 Q.10 9.1 BB.1, BB.24.6 Q.2 9.2 BB.3

Pearson Chapter-Section IXL Assignments9.3 BB.4, BB.59.4 BB.69.5 BB.7, BB.89.6 BB.9, BB.109.7 CC.1, CC.29.8 BB.11

10.1 (none) 10.2 EE.1, EE.210.3 EE.3, EE.4, EE.5, EE.6, EE.710.4 FF.1, FF.2, FF.3, FF.410.5 (none) 11.1 GG.311.2 GG.411.3 GG.511.4 GG.611.5 GG.711.6 R.6, R.7, R.811.7 GG.112.1 M.1-M.2, M.3, M.4, M.5, M.612.2 N.212.3 KK.112.4 N.5, KK.212.5 KK.3, KK.4, KK.5, KK.6, KK.7, KK.812.6 JJ.6, JJ.8 (JJ.4, JJ.5, JJ.7)12.7 JJ.1, JJ.212.8 JJ.3

Listed below are the technology standards for grades nine through twelve. You are to make every effort to incorporate the applicable standards into your daily classroom lessons. These standards should be noted in your lesson plans.

Alabama Technology Standards Ninth – Twelfth GradeOperations and Concepts

Students will:

2. Diagnose hardware and software problems.Examples: viruses, error messagesApplying strategies to correct malfunctioning hardware and softwarePerforming routine hardware maintenanceDescribing the importance of antivirus and security software

3. Demonstrate advanced technology skills, including compressing, converting, importing, exporting, and backing up files.Transferring data among applicationsDemonstrating digital file transferExamples: attaching, uploading, downloading

4. Utilize advanced features of word processing software, including outlining, tracking changes, hyperlinking, and mail merging.

5. Utilize advanced features of spreadsheet software, including creating charts and graphs, sorting and filtering data, creating formulas, and applying functions.

6. Utilize advanced features of multimedia software, including image, video, and audio editing.

Digital Citizenship

9. Practice ethical and legal use of technology systems and digital content.Explaining consequences of illegal and unethical use of technology systems and digital contentExamples: cyberbullying, plagiarismInterpreting copyright laws and policies with regard to ownership and use of digital contentCiting sources of digital content using a style manualExamples: Modern Language Association (MLA), American Psychological Association (APA)

Research and Information Fluency

11. Critique digital content for validity, accuracy, bias, currency, and relevance.

Communication and Collaboration

12. Use digital tools to publish curriculum-related content.Examples: Web page authoring software, coding software, wikis, blogs, podcasts

13. Demonstrate collaborative skills using curriculum-related content in digital environments.Examples: completing assignments online; interacting with experts and peers in a structured, online learning environment

Critical Thinking, Problem Solving, and Decision Making

14. Use digital tools to defend solutions to authentic problems.Example: disaggregating data electronically

Creativity and Innovation

1. Create a product that integrates information from multiple software applications.Example: pasting spreadsheet-generated charts into a presentation

Documents

€¦ · Web viewALCOS 39: Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more