Algebra II

Algebra II

 

Content Area: Algebra 2

Beaumont ISD

Grade Level: 11th

Revision Date: 6/30/16

1st Nine Weeks

August 24 – October 14

(37 School Days)

 31 Instructional Days 6 Flex Days

Pre-Test (8/24-9/2/16)

Mid 9-week Test (9/12-16/16)

9-week Test & Pre-Test (10/10-14/16)

2nd Nine Weeks

October 17 – December 16

(39 School Days)

32 Instructional Days 7 Flex Days

Mid 9-week Test (11/7-11/16)

9-week Test & Pre-Test (12/12-16/16)

Refer to instructional timelines when planning units of instruction.

See list of Ongoing Process TEKS that should be embedded in all Units of Instruction.

ALL Process TEKS are eligible for incorporating into the assessment of at least 40% of Content TEKS.

 

STAAR Standard Key:    Blue= STAAR Readiness Standard

                                              Yellow= STAAR Supporting Standard

                                                         Bold= Highest Stakes TEKS (greatest need)

                        Italics= High Stakes TEKS

Units

Unit 1: Linear Functions (20 days)

 

Unit 2: Solving Systems of Equations and Inequalities (10 days)

 

TEKS/SEs

 

Unit 1: Linear Functions (20 days)

2A.6(K) determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation

 

2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation

 

2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,

f(x) = , f(x) = , f(x) = |x|, and f(x) =  where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

 

2A.6(C) analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x c), and f(x) + d for specific positive and negative real values of a, b, c, and d

 

2A.6(D) formulate absolute value linear equations

 

2A.6(E) solve absolute value linear equations

 

2A.6(F) solve absolute value linear inequalities

 

2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential Models

 

2A.8(B) use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data

 

2A.8(C) predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models

 

Unit 2: Solving Systems of Equations and Inequalities  ( 10 days)

2A.3(A) formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic

 

2A.3(B) solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution

 

2A.3(E) formulate systems of at least two linear inequalities in two variables

 

2A.3(F) solve systems of two or more linear inequalities in two variables

 

2A.3(G) determine possible solutions in the solution set of systems of two or more linear inequalities in

two variables

Units

Unit 3: Quadratic Functions (13 days)

 

Unit 4: Quadratic Equations and Complex Numbers ( 18 days)

 

 

TEKS/SEs

 

Unit 3: Quadratic Functions (13 days)

2A.4(B) write the equation of a parabola using given attributes, including

vertex, focus, directrix, axis of symmetry, and direction of opening

 

2A.4(A) write the quadratic function given three specified points in the plane

 

2A.4(E) formulate quadratic and square root equations using technology given a table of data

 

2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential Models

 

2A.8(B) use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data

 

2A.8(C) predict and make decisions and critical judgments from a given

set of data using linear, quadratic, and exponential models

 

Unit 4: Quadratic Equations and Complex Numbers ( 18 days)

2A.4(F) solve quadratic and square root equations

 

2A.7(A) add, subtract, and multiply complex numbers

 

2A.4(D) transform a quadratic function f(x) = ax2 + bx + c to the form f(x) = a(x h)2 + k to identify the different attributes of f(x)

 

2A.3(A) formulate systems of equations, including systems consisting of

three linear equations in three variables and systems consisting of

two equations, the first linear and the second quadratic

 

2A.3(C) solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation

 

2A.3(D) determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables

 

2A.4(H) solve quadratic inequalities

Mathematical Process Standards

2A.1(A)  apply mathematics to problems arising in everyday life, society, and the workplace

 

2A.1(B)  use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution,  justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

 

2A.1(C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

 

2A.1(D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs,

and language as  appropriate

 

2A.1(E) create and use representations to organize, record, and communicate mathematical ideas

 

2A.1(F) analyze mathematical relationships to connect and communicate mathematical ideas

 

2A.1(G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication

 

Beaumont  22nd Century Skills

 


Critical Thinking and Reasoning:  Thinking Deeply,

Thinking Differently

Information Literacy: Untangling the Web

Collaboration: Working Together, Learning Together

Self-Direction: Own Your Learning

Invention: Creating Solutions

 

 

 

Content Area: Algebra 2

Beaumont ISD

Grade Level: 11th

Revision Date: 6/8/16

3rd Nine Weeks

January 3 – March 10

(47 School Days)

42 Instructional Days 5 Flex Days

 

 

4th Nine Weeks

March 20 – June 1

(52 School Days)

46 Instructional Days 6 Flex Days

 

 

Refer to instructional timelines when planning units of instruction.

See list of Ongoing Process TEKS that should be embedded in all Units of Instruction.

ALL Process TEKS are eligible for incorporating into the assessment of at least 40% of Content TEKS.

 

STAAR Standard Key:    Blue= STAAR Readiness Standard

                                              Yellow= STAAR Supporting Standard

                                                         Bold= Highest Stakes TEKS (greatest need)

                        Italics= High Stakes TEKS

Units

Unit 5: Polynomial Functions (21 days)

 

Unit 6: Rational Exponents and Radical Functions (19 days)

 

TEKS/SEs

 

Unit 5: Polynomial Functions (21 days)

2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,

f(x) = , f(x) = , f(x) = |x|, and f(x) =  where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

 

2A.7(B) add, subtract, and multiply polynomials

 

2A.7(C) determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two

 

2A.7(D) determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods

2A.7(E) determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping

 

2A.7(A) add, subtract, and multiply complex numbers

 

2A.6(A) analyze the effect on the graphs of f(x) = x3 and f(x) = 3√?? when f(x) is replaced by af(x), f(bx), f(x c), and f(x) + d for specific positive and negative real values of a, b, c, and d

 

2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential Models

 

 

2A.8(C) predict and make decisions and critical judgments from a given

set of data using linear, quadratic, and exponential models

 

Unit 6: Rational Exponents and Radical Functions (19 days)

2A.7(G) rewrite radical expressions that contain variables to equivalent forms

 

2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,

f(x) = , f(x) = , f(x) = |x|, and f(x) =  where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

 

2A.4(C) determine the effect on the graph of f(x) = √?? when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x c) for specific positive and negative values of a, b, c, and d

 

2A.4(E) formulate quadratic and square root equations using technology given a table of data

 

2A.6(A) analyze the effect on the graphs of f(x) = x3 and f(x) = 3√?? when f(x) is replaced by af(x), f(bx), f(x c), and f(x) + d for specific positive and negative real values of a, b, c, and d

 

2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation

 

2A.4(F) solve quadratic and square root equations

 

2A.4(G) identify extraneous solutions of square root equations

 

2A.6(B) solve cube root equations that have real roots

 

2A.7(H) solve equations involving rational exponents

 

2A.7(B) add, subtract, and multiply polynomials

 

2A.2(B) graph and write the inverse of a function using notation such as f –1(x)

 

2A.2(C) describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range

 

2A.2(D) use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other

 

2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation

 

Units

Unit 7: Exponential and Logarithmic Functions (19 days)

 

Unit 8: Rational Functions (18days)

 

 

TEKS/SEs

 

Unit 7: Exponential and Logarithmic Functions (19 days)

2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,

f(x) = , f(x) = , f(x) = |x|, and f(x) =  where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

 

2A.2(B) graph and write the inverse of a function using notation such as f –1(x)

 

2A.2(C) describe and analyze the relationship between a function and its

inverse (quadratic and square root, logarithmic and exponential),

including the restriction(s) on domain, which will restrict its range

 

2A.5(C) rewrite exponential equations as their corresponding logarithmic equations and logarithmic

equations as their corresponding exponential equations

 

2A.5(A) determine the effects on the key attributes on the graphs of

f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is

replaced by af(x), f(x) + d, and f(x c) for specific positive and

negative real values o f a, c, and d

 

2A.5(D) solve exponential equations of the form y = abx where a is a

nonzero real number and b is greater than zero and not equal to

one and single logarithmic equations having real solutions

 

2A.5(E) determine the reasonableness of a solution to a logarithmic equation

 

2A.5(B) formulate exponential and logarithmic equations that model real-world situations, including

exponential relationships written in recursive notation

 

2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential

models

2A.8(B) use regression methods available through technology to write a linear function, a quadratic

function, and an exponential function from a given set of data

 

2A.8(C) predict and make decisions and critical judgments from a given

set of data using linear, quadratic, and exponential models

 

2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential

Models

 

2A.8(B) use regression methods available through technology to write a linear function, a quadratic

function, and an exponential function from a given set of data

 

2A.8(C) predict and make decisions and critical judgments from a given

set of data using linear, quadratic, and exponential models

 

Unit 8: Rational Functions (19 days)

2A.6(L) formulate and solve equations involving inverse variation

 

2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,

f(x) = , f(x) = , f(x) = |x|, and f(x) =  where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

 

2A.6(G) analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x c), and

f(x) + d for specific positive and negative real values of a, b, c, and d

 

2A.6(H) formulate rational equations that model real-world situations

 

2A.6(K) determine the asymptotic restrictions on the domain of a rational function and represent

domain and range using interval notation, inequalities, and set notation

 

2A.7(F) determine the sum, difference, product, and quotient of rational

expressions with integral exponents of degree one and of degree

two

 

2A.6(I) solve rational equations that have real solutions

 

2A.6(J) determine the reasonableness of a solution to a rational equation

Beaumont  22nd Century Skills

 

Critical Thinking and Reasoning:  Thinking Deeply, Thinking Differently

Information Literacy: Untangling the Web

Collaboration: Working Together, Learning Together

Self-Direction: Own Your Learning

Invention: Creating Solutions