Subject:

Algebra 2

Year:

2016/17

Unit:

Introduction (IN)

Teacher:

Shaun Carter

 

Skill List

 

 

 

Initial Score

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IN1

I can apply the distributive property to a range of algebraic expressions.

 

 

IN2

I can factor expressions by identifying the Greatest Common Factor.

 

 

IN3

I can determine if a relation is a function and fully justify with reasons.

 

 

IN4

I can represent linear functions using equations, graphs and tables.

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Quadratics (QU)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.1 Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when they exist.

A2.A.2 Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.

A2.A.2.1 Factor polynomial expressions including but not limited to trinomials, differences of squares, sum and difference of cubes, and factoring by grouping using a variety of tools and strategies.

A2.A.2.3 Recognize that a quadratic function has different equivalent representations [, �and ]. Identify and use the representation that is most appropriate to solve real-world and mathematical problems.

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1 Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.3 Graph a quadratic function. Identify the x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.

Critical Gaps

A1.F.3.3 Add, subtract, and multiply functions using function notation.

 

Skill List

 

 

 

Initial Score

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QU1

I can factor quadratic expressions, selecting between methods as appropriate.

 

 

QU2

I can solve quadratic equations using factoring and applying the zero product property.

 

 

QU3

I can solve quadratic equations by completing the square.

 

 

QU4

I can solve quadratic equations using the quadratic formula.

 

 

QU5

I can graph quadratic functions and identify their important information.

 

 

QU6

I can solve problems by converting between different representations of quadratic functions.

 

 

QU7

I can use technology to solve problems involving quadratics.

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Polynomials (PO)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.4 Solve polynomial equations with real roots using various methods and tools that may include factoring, polynomial division, synthetic division, graphing calculators or other appropriate technology.

A2.A.2 Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.

A2.A.2.1 Factor polynomial expressions including but not limited to trinomials, differences of squares, sum and difference of cubes, and factoring by grouping using a variety of tools and strategies.

A2.A.2.2 Add, subtract, multiply, divide, and simplify polynomial and rational expressions.

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1 Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.5 Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.

Critical Gaps

A1.F.3.3 Add, subtract, and multiply functions using function notation.

 

Skill List

 

 

 

Initial Score

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PO1

I can add, subtract and multiply polynomials and simplify by combining like terms.

 

 

PO2

I can perform polynomial division and use the remainder theorem to verify results.

 

 

PO3

I can factor polynomial expressions and use the results to solve polynomial equations.

 

 

PO4

I can analyze a polynomial graph to by identifying its important information, and use these characteristics to find its function equation.

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Rational Functions (RF)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.3 Solve one-variable rational equations and check for extraneous solutions.

A2.A.2 Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.

A2.A.2.2 Add, subtract, multiply, divide, and simplify polynomial and rational expressions.

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1 Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.6 Graph a rational function and identify the x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology. (Excluding slant or oblique asymptotes and holes.)

Critical Gaps

A1.F.3.3 Add, subtract, and multiply functions using function notation.

 

Skill List

 

 

 

Initial Score

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RF1

I can graph rational functions and describe their important information.

 

 

RF2

I can multiply, divide and simplify rational expressions.

 

 

RF3

I can add and subtract rational expressions.

 

 

RF4

I can simplify rational expressions involving multiple operations.

 

 

RF5

I can solve rational equations and check for extraneous solutions.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Radicals (RA)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.N.1 Extend the understanding of number and operations to include complex numbers, matrices, radical expressions, and expressions written with rational exponents.

A2.N.1.4 Understand and apply the relationship of rational exponents to integer exponents and radicals to solve problems.

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.5 Solve square root equations with one variable and check for extraneous solutions.

A2.A.2 Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.

A2.A.2.4 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1 Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.7 Graph a radical function (square root and cube root only) and identify the x- and y-intercepts using various methods and tools that may include a graphing calculator or other appropriate technology.

Critical Gaps

A1.F.3.3 Add, subtract, and multiply functions using function notation.

 

Skill List

 

 

 

Initial Score

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RA1

I can simplify radical expressions.

 

 

RA2

I can add and subtract radical expressions.

 

 

RA3

I can multiply radical expressions, including the use of the distributive property.

 

 

RA4

I can divide radical expressions and rationalize denominators as required.

 

 

RA5

I can convert between radical form and rational exponent form.

 

 

RA6

I can solve equations involving radicals and check for extraneous solutions.

 

 

RA7

I can graph radical functions and describe their important information.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Exponential & Logarithmic Functions (EL)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.2 Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically.

A2.A.1.6 Solve common and natural logarithmic equations using the properties of logarithms.

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.1 Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.4 Graph exponential and logarithmic functions. Identify asymptotes and x- and y-intercepts using various methods and tools that may include graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.

A2.F.2 Analyze functions through algebraic combinations, compositions, and inverses, if they exist.

A2.F.2.4 Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

Critical Gaps

A1.F.3.3 Add, subtract, and multiply functions using function notation.

 

Skill List

 

 

 

Initial Score

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EL1

I can solve exponential equations.

 

 

EL2

I can simplify logarithmic expressions.

 

 

EL3

I can solve logarithmic equations and equations involving exponents and logarithms.

 

 

EL4

I can graph exponential and logarithmic functions, and describe their important information.

 

 

EL5

I can recognize exponents and logarithms as inverse functions and convert between the two forms.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Transformations (TR)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.2 Recognize the graphs of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations [, , �and , where �is a positive or negative real-valued constant] algebraically and graphically, using various methods and tools that may include graphing calculators or other appropriate technology.

 

Skill List

 

 

 

Initial Score

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TR1

I can recognise the function of a graph as being exponential, radical, quadratic or logarithmic.

 

 

TR2

I can predict the effect of a dilation on a function, both algebraically and graphically.

 

 

TR3

I can predict the effect of a translation on a function, both algebraically and graphically.

 

 

TR4

I can find the function of a graph by describing it as the transformation of a parent function.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Combinations of Functions (CF)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together).

A2.F.1.8 Graph piecewise functions with no more than three branches (including linear, quadratic, or exponential branches) and analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant.

A2.F.2 Analyze functions through algebraic combinations, compositions, and inverses, if they exist.

A2.F.2.1 Add, subtract, multiply, and divide functions using function notation and recognize domain restrictions.

A2.F.2.2 Combine functions by composition and recognize that , the inverse function of , if and only if .

A2.F.2.3 Find and graph the inverse of a function, if it exists, in real-world and mathematical situations. Know that the domain of a function �is the range of the inverse function , and the range of the function �is the domain of the inverse function .

A2.F.2.4 Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

 

Skill List

 

 

 

Initial Score

Update Score

CF1

I can graph piecewise functions, and describe their important information.

 

 

CF2

I can create new functions by adding and subtracting.

 

 

CF3

I can create new functions by multiplying and dividing.

 

 

CF4

I can create a new function by composition and correctly identify its domain and range.

 

 

CF5

I can verify the existence of inverse functions and find them algebraically.

 

 

CF6

I can use the graph of a function to sketch its inverse.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Sequences and Series (SQ)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.7 Solve real-world and mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the th terms and sum formulas. Graphing calculators or other appropriate technology may be used.

Critical Gaps

A1.A.3.5 Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Use the pattern, find the next term.

A1.A.3.6 Recognize that geometric sequences are exponential using equations, tables, graphs and verbal descriptions. Given the formula , find the next term and define the meaning of �and �within the context of the problem.

 

Skill List

 

 

 

Initial Score

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SQ1

I can identify arithmetic and geometric sequences from tables, graphs and patterns.

 

 

SQ2

I can use recursion to find the th term of an arithmetic or geometric sequence.

 

 

SQ3

I can find an explicit formula to directly find the th term of an arithmetic or geometric sequence.

 

 

SQ4

I can use a formula to find the sum of the first �terms of an arithmetic or geometric series.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Complex Numbers (CN)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.N.1 Extend the understanding of number and operations to include complex numbers, matrices, radical expressions, and expressions written with rational exponents.

A2.N.1.1 Find the value of �for any whole number .

A2.N.1.2 Simplify, add, subtract, multiply, and divide complex numbers.

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.1 Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when they exist.

 

Skill List

 

 

 

Initial Score

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CN1

I can find the value of �for any whole number .

 

 

CN2

I can add and subtract complex numbers.

 

 

CN3

I can multiply complex numbers.

 

 

CN4

I can divide complex numbers.

 

 

CN5

I can find non-real solutions to quadratic equations.

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Systems of Equations & Matrices (SY)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.N.1 Extend the understanding of number and operations to include complex numbers, matrices, radical expressions, and expressions written with rational exponents.

A2.N.1.3 Use matrices to organize and represent data. Identify the order (dimension) of a matrix, add and subtract matrices of appropriate dimensions, and multiply a matrix by a scalar to create a new matrix to solve problems.

A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.8 Represent real-world or mathematical problems using systems of linear equations with a maximum of three variables and solve using various methods that may include substitution, elimination, and graphing (may include graphing calculators or other appropriate technology).

A2.A.1.9 Solve systems of equations containing one linear equation and one quadratic equation using tools that may include graphing calculators or other appropriate technology.

Critical Gaps

A1.A.2.3 Solve systems of linear inequalities with a maximum of two variables; graph and interpret the solutions on a coordinate plane.

 

Skill List

 

 

 

Initial Score

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SY1

I can solve systems of linear equations by graphing the equations as lines.

 

 

SY2

I can solve systems of linear equations involving two variables algebraically.

 

 

SY3

I can solve systems of linear equations involving three variables.

 

 

SY4

I can solve systems involving non-linear equations.

 

 

SY5

I can solve systems of linear inequalities.

 

 

SY6

I can organize data using a matrix.

 

 

SY7

I can add and subtract matrices, and multiple matrices by scalars.

 

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Statistical Operations (SO)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.D.1 Display, describe, and compare data. For linear and nonlinear relationships, make predictions and assess the reliability of those predictions.

A2.D.1.1 Use the mean and standard deviation of a data set to fit it to a normal distribution (bell-shaped curve).

A2.D.1.2 Collect data and use scatterplots to analyze patterns and describe linear, exponential or quadratic relationships between two variables. Using graphing calculators or other appropriate technology, determine regression equation and correlation coefficients; use regression equations to make predictions and correlation coefficients to assess the reliability of those predictions.

A2.D.1.3 Based upon a real-world context, recognize whether a discrete or continuous graphical representation is appropriate and then create the graph.

 

Skill List

 

 

 

Initial Score

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SO1

I can fit a data set to the normal distribution using the mean and standard deviation.

 

 

SO2

I can collect data, represent it using scatterplots, and describe relationships between variables.

 

 

SO3

I can determine the regression equation for a set of data and use it to make predictions.

 

 

SO4

I can create a graph for a set of data by choosing between discrete and continuous graphical representations appropriately.

 

 

 

 

Subject:

Algebra 2

Year:

2016/17

Unit:

Statistical Thinking (ST)

Teacher:

Shaun Carter

 

Oklahoma Academic Standards

A2.D.2 Analyze statistical thinking to draw inferences, make predictions, and justify conclusions.

A2.D.2.1 Evaluate reports based on data published in the media by identifying the source of the data, the design of the study, and the way the data are analyzed and displayed. Given spreadsheets, tables, or graphs, recognize and analyze distortions in data displays. Show how graphs and data can be distorted to support different points of view.

A2.D.2.2 Identify and explain misleading uses of data. Recognize when arguments based on data confuse correlation and causation.

 

Skill List

 

 

 

Initial Score

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ST1

I can examine media reports and evaluate the reliability of the data and conclusions that are presented.

 

 

ST2

I can recognize and analyze data distortions in data displays and show distortions can be used to support different points of view.

 

 

ST3

I can explain misleading uses of data and identify examples of misused data.