1
Unit of Study: MatricesResources: Textbook: “Algebra 2” (Holt, Rinehart & Winston), Ch. 4
Length of Study: 6 days
Unit of Study: Quadratic Functions
Resources: Textbook: “Algebra 2” (Holt, Rinehart & Winston), Ch. 5
Length of Study: 9 days
Unit of Study: Polynomials Functions
Resources: Textbook: “Algebra 2” (Holt, Rinehart & Winston), Ch. 6 Length of Study: 9 days
Algebraic Concepts Algebraic Concepts Writing
Algebraic Concepts
Benchmarks
MA 12.6.2 The student will solve problems involving equations and inequalities.
Benchmarks
MA 12.6.4 The student will solve problems using patterns and functions.
Benchmarks
MA 12.6.3 The student will solve problems involving systems of two equations, and systems of two or more inequalities.
Benchmarks
Interpret results of a prediction using equations of best fit (quadratic)
Skills Skills Skills Skills
Possible Assessments
FOR Learning
Benchmark
MA 12.6.2 The student will solve problems involving equations and inequalities.
Solve quadratic equations Factor & solve polynomial equations
UBD
Application
UBD
Application
UBD UBD
Type of Assessment Performance
Type of Assessment Performance
Type of Assessment Type of Assessment
Suggestion: Solve quadratics by factoring & finding square roots.
Suggestion: Solve polynomial functions by synthetic division.
Suggestion Suggestion:
Selected Response Suggestion:
Matching graphs with equations Multiple choice
Essay Suggestion:
Use equation of best fit to make and interpret a prediction
Performance Assessment Suggestion:
Graph polynom. Functions Solve equations by factoring
Personal Communication Suggestion:
Required Assessments OF Learning
3
AVERAGE PERFORMING STUDENT
MA 12.6.2 The student
will solve problems involving equations and inequalities.
Skills (UBD):
Application
Solve quadratic
equations by various
methods
Solve polynomial
equations by various
methods.
Strategies:
Homework & practice
HIGH PERFORMING STUDENT
Activities:Same as average students
Strategies:
Homework & practice
AVERAGE PERFORMING STUDENT
Activities:Graph quadratic functions
Solve quadratic equations by factoring, square roots, complete the square.
Factor and solve polynomial equations
Strategies:
Identify similarities &
differences
Strategies:
Nonlinguistic representation
LOW PERFORMING STUDENT
Activities:Compare long division with synthetic division
ELL
Activities:Provide formulas
Skills Skills Skills Skills
Possible Assessments
FOR Learning
Benchmark
MA 12.6.3 The student will solve problems involving systems of two equations, and systems of two or more inequalities.
Use matrices to solve systems.
UBD
Application
UBD UBD UBD
Type of Assessment Performance
Type of Assessment Type of Assessment Type of Assessment
Suggestion: Use determinants, Cramer’s Rule, inverse
matrices to solve systems.
Suggestion: Suggestion: Suggestion:
Selected Response Suggestion:
Match matrix operations with correct solutions.
Essay Suggestion:
Performance Assessment Suggestion:
Solve a system using inverses.
Find determinants
Use determinants and Cramer’s
Personal Communication Suggestion:
Required Assessments OF Learning
5
AVERAGE PERFORMING STUDENT
MA 12.6.3 The student
will solve problems involving systems of two equations, and systems of two or more inequalities.
Skills (UBD):
Application
Solve systems using
matrices
Strategies:
Summarizing & note taking
HIGH PERFORMING STUDENT
Activities:Identify steps involved in using Cramer’s Rule or inverse matrices
Strategies:
Homework &
practice
AVERAGE PERFORMING STUDENT
Activities:Provide problems using Cramer’s Rule and inverse matrices to solve systems.
Strategies:
Identify similarities &
differences
Strategies:
Nonlinguistic representations
LOW PERFORMING STUDENT
Activities:Determine whether a product of matrices is defined by comparing dimensions
ELL
Activities:Provide examples of completed problems.
Skills Skills Skills Skills
Possible Assessments
FOR Learning
Benchmark
MA 12.6.4 The student will solve problems using patterns and functions.
Graph polynomial functions
Graph quadratic
equations & inequalities
UBD
Explanation
UBD
Application
UBD UBD
Type of Assessment Performance
Type of Assessment Performance
Type of Assessment Type of Assessment
Suggestion: Determine end behaviors of graphs
Suggestion: Graph quadratic equations in standard, vertex, &
intercepts form.
Suggestion: Suggestion:
Selected Response Suggestion:
Match graphs with polynom.
functions of various degrees.
Essay Suggestion:
Performance Assessment Suggestion:
Find end behaviors
Graph quadratic equations using various forms.
Personal Communication Suggestion:
Required Assessments OF Learning
7
AVERAGE PERFORMING STUDENT
MA 12.6.4 The student
will solve problems using patterns and functions.
Skills (UBD):
Explanation
Determining end
behaviors
Graphing quadratics
Strategies:
Homework &
practice
HIGH PERFORMING STUDENT
Activities:Same as average students
Strategies:
Homework &
practice
AVERAGE PERFORMING STUDENT
Activities:Provide examples of polynomials of various degrees, determine end behaviors.
Given quadratics in standard vertex & intercepts form, students graph.
Strategies:
Identify similarities &
differences
Strategies:
Nonlinguistic representations
LOW PERFORMING STUDENT
Activities:Discuss similarities of end behaviors for polynomials of even degrees, odd degrees
Look at effect of a negative reading coefficient on graphs.
ELL
Activities:Provide examples of graphs, “function dance” – show end behaviors with arms.
