Algebra II – Grades 9-12

District 2853

Month

Content

Performance Standards Addressed

         Grades 9-11                 Grades 11-12

Skills for Student Achievement

Assessment

 

September

·         Functions

Mathematical Reasoning

 - Benchmarks #1, #2, #3,

Computation & Operation

 - Benchmarks #1, #5, #6

Patterns and Functions

 - Benchmarks #4, #5

Algebra

 - Benchmarks #1, #5, #7,

   #9, #10

Algebra

 - Benchmark #16

·         Evaluate expressions & formulas      

·         Use four operations to write expressions

·         Determine whether a relation is a function

·         Determine domain and range of a function

·         Use functions to solve real-world problems

·         Solve and check linear functions

·         Use linear functions to solve real-world problems

·         Rewrite formulas

·         Evaluate sequences

·         Write recursive and explicit formulas for sequences

 

October

·         Variations and Graphs

Computation & Operation

 - Benchmark #6

Patterns and Functions

 - Benchmark #1, #3, #4,

   #5

Geometry

 - Benchmark #5

Algebra

 - Benchmark #11

·         Translate direct variation and inverse variation language into formulas

·         Solve direct and inverse variation problems

·         Use the fundamental theorem of variation

·         Find slope

·         Graph variation equations

·         Identify variation equations from graphs

·         Fit an appropriate model to data

 

November to Mid-December

·         Linear Functions

Geometry

 - Benchmark  #5

Computation & Operation

 - Benchmark #6

Patterns and Functions

 - Benchmarks #4, #5

Algebra

 - Benchmarks #3, #12

 

·         Determine the slope and y-intercept of a line

·         Determine  the equation of a line

·         Graph and interpret graphs of linear functions

·         Recognize properties of linear functions

·         Evaluate and find recursive and explicit formulas for arithmetic sequences

 

December

·         Matrix

Geometry

 - Benchmark #6

 

·         Use matrix to store data

·         Graph figures using matrix

·         Perform operations with matrix

·         Use matrix to achieve transformation of geometric figures

·         Determine equations of lines perpendicular to given lines

 

January

·         Systems

Algebra

 - Benchmarks #7, #11

Algebra

 - Benchmark #1

·         Solve and graph linear inequalities

·         Solve systems of equations

·         Find the determine and the inverse of a square matrix

·         Use matrix to solve systems of equations

·         Graph linear inequalities

·         Solve systems of inequalities

 

February

·         Quadratic Functions

Patterns and Functions

 - Benchmark #1

Algebra

 - Benchmarks #2, #8

 

·         Solve quadratic equations by graphing, completing the square and using the quadratic formula

·         Graph quadratic functions

·         Use quadratic equations to solve problems

·         Graph absolute value functions

·         Graph and interpret parabolas

·         Transform quadratic equations from vertex form to standard form

·         Fit a quadratic model to data

·         Perform operations with complex numbers

·         Determine the nature of the solutions of an equation

·         Determine the number of x-intercepts of a graph

 

March

·         Quadratic Functions and Powers

Patterns and Functions

 - Benchmarks #1, #3, #4

Algebra

 - Benchmarks #6, #8

Algebra

 - Benchmarks #5, #6,

   #7, #13

·         Graph power functions

·         Simplify expressions using properties of exponents

·         Simplify expressions with negative exponents

·         Solve real-world problems which can be modeled by expressions with nth powers

·         Describe geometric sequences explicitly and recursively

·         Solve equations with negative exponents

·         Solve equations with rational exponents

 

April

·         Inverses and Radicals

Computation & Operation

 - Benchmark #4

Algebra

- Benchmarks #4, #9,

  #15

·         Find values and rules for composites of functions

·         Apply properties of inverse relations and functions

·         Make and interpret graphs of inverses of relations

·         Evaluate radicals

·         Simplify expressions with radicals

·         Solve equations with radicals

 

May

·         Polynomials

Algebra

 - Benchmark #1

Algebra

 - Benchmarks #3, #10

·         Graph polynomial functions

·         Multiply polynomials

·         Factor polynomials

·         Find factors and zeros of polynomials