Last modified Nov 30

Algebra B

  • 8th Grade
Jordan Thill

IB Math Standards:

IB MYP Math

Assessment Criteria Grade 6 Year 1

 

Criterion

A

Knowing and Understanding

At the end of Year 1, students should be able to:

i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations

ii. apply the selected mathematics successfully when solving problems

iii. solve problems correctly in a variety of contexts.

Criterion B

Investigating Patterns

At the end of Year 1, students should be able to:

i. apply mathematical problem-solving techniques to recognize patterns

ii. describe patterns as relationships or general rules consistent with correct findings

iii. verify whether the pattern works for other examples.

Criterion C

Communicating

At the end of Year 1, students should be able to:

i. use appropriate mathematical language (notation, symbols and terminology) in both oral and written statements

ii. use different forms of mathematical representation to present information

iii. communicate coherent mathematical lines of reasoning

iv. organize information using a logical structure

Criterion D

Applying Math in Real-life Contexts

At the end of Year 1, students should be able to:

i. identify relevant elements of authentic real-life situations

ii. select appropriate mathematical strategies when solving authentic real-life situations

iii. apply the selected mathematical strategies successfully to reach a solution

iv. explain the degree of accuracy of a solution

v. describe whether a solution makes sense in the context of the authentic real-life situation

 

IB MYP Math

Assessment Criteria Grade 8 Year 3

 

Criterion

A

Knowing and Understanding

At the end of Year 3, students should be able to:

i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations

ii. apply the selected mathematics successfully when solving problems

iii. solve problems correctly in a variety of contexts.

Criterion B

Investigating Patterns

At the end of Year 3, students should be able to:

i. select and apply mathematical problem-solving techniques to discover complex patterns

ii. describe patterns as relationships and/or general rules consistent with findings

iii. verify and justify relationships and/or general rules

Criterion C

Communicating

At the end of Year 3, students should be able to:

i. use appropriate mathematical language (notation, symbols and terminology) in both oral and written explanations

ii. use different forms of mathematical representation to present information

iii. move between different forms of mathematical representation

iv. communicate complete and coherent mathematical lines of reasoning

v. organize information using a logical structure.

Criterion D

Applying Math in Real-life Contexts

At the end of Year 3, students should be able to:

i. identify relevant elements of authentic real-life situations

ii. select appropriate mathematical strategies when solving authentic real-life situations iii. apply the selected mathematical strategies successfully to reach a solution

iv. explain the degree of accuracy of a solution

v. explain whether a solution makes sense in the context of the authentic real-life situation

 

Performance Descriptors

IB Score Letter Score &

Percentage Range

Did not reach the standard 0 F

Below 70%

Minimal, limited, has difficulty 1-2   D

70-76%

Adequate, somewhat 3-4 C/B-

77-85%

Considerable, good, mostly accurate, appropriate 5-6 B/A-

86-93%

Thorough, clear, effective, excellent,

accurate with variety/detail

7-8 A

94-100%

 

Our Mathematical Mission:  As we approach the half way point the 8th grade class is preparing for the annual Math Bowl Tournament held at Xavier High School in Appleton.  This friendly competition consists of schools around the state pitting their math schools against each other.  We practice one day a week during their lunch hour.  It is both a fun and rewarding experience for each student that partakes in this event.  It is open to all middle school students and their is no fee for them.  Each year Holy Family is represented well by 40-50 students. This will be an exciting year for all who take part on this journey.  We will be discovering how math impacts us on a daily basis.  The goal of this class is to challenge you with out overwhelming you.  My goal is to prepare you for a life filled with success. Trust me to guide you on this Educational Adventure.   Class time: You   will be expected to give 100%.  Participation is the key to your success.  The “A” students ask questions.  Be all that you can be and ask the question.  We work hard every day.  When you go to band class you play your instrument, when you attend math class you will be doing math each and every day and have fun doing it.     Independent Work time/Homework: Although you will be given plenty of class time to learn and practice your new skills;part of your success will involve you thinking and working on your own.  You can expect homework 3 days a week.  This can be completed during class time, studyhall or outside of the school day.

 

 

Syllabus

Algebra II students are expected to:

  • Read mathematical problems actively and critically.
  • Write effective solutions to problems and projects
  • Present solutions to problems effectively
  • Use a variety of appropriate resources including the computer and calculator to solve mathematical problems
  • Employ multiple critical and creative thinking strategies in reasoning and problem solving
  • Demonstrate a knowledge and appreciation of how mathematics can be used outside the mathematics classroom
  • And meet all of the course objectives listed below

Topics Include:

  • Real Numbers and Algebraic Expressions
  • Equations, Inequalities and Problem Solving
  • Graphs and Functions
  • Rational Expressions
  • Rational Exponents, Radicals and Complex Numbers
  • Quadratic Equations and Functions
  • Probability and Statistics
  • Function Operations
  • Exponential and Logarithmic Functions
  • Systems of Equations
  • Exponents, Polynomial and Polynomial Functions
  • Analytical Geometry
  • Sequences and Series
Course ObjectivesThe student will be able to:

  • Identify, state the properties and perform arithmetic operations on real numbers in any format
  • Solve systems of linear equations and in two or three variables using algebraic and matrix methods
  • Describe and use the properties of exponents to simplify polynomial expressions
  • Simplify, multiply, divide, add and subtract rational expressions
  • Solve rational equations and real world applications that are modeled by rational equations
  • Use the remainder theorem to factor and evaluate polynomials
  • Describe and use the properties of rational exponents to simplify radical functions and expressions
  • Solve radical equations and real world problems modeled by radical equations
  • Identify, add, subtract, multiply and divide complex numbers
  • Solve quadratic equations and real world applications modeled by quadratic functions
  • Solve quadratic and rational inequalities
  • Graph and analyze the graphs of quadratic equations
  • Use combinations and permutations to solve problems
  • Use the binomial theorem to expand (x+y)n
  • Find probability of various single, compound, dependent and independent events
  • Perform algebraic, composition and inverse operations on functions
  • Describe the characteristics of exponential functions and show how are they useful in solving real-world problems
  • Describe characteristics of logarithmic functions and show how are they useful in solving real-world problems
  • Solve systems of non-linear equations
  • Demonstrate the ability to identify and evaluate arithmetic and geometric sequences and series
  • Identify, evaluate, perform arithmetic operations and create algebraic expressions
  • Find solutions of linear equations
  • Find solution of simple and compound linear inequalities
  • Translate real world applications into equations or inequalities and solve them
  • Understand the properties of functions and demonstrate how relations and functions can be represented numerically, graphically, algebraically, and/or verbally
  • Find the equations of linear functions and use those equations to solve real world applications
  • Solve real world applications which use systems of linear equations in two or three variables using algebraic and matrix methods
  • Add, subtract and multiply polynomials and polynomial functions
  • Factor polynomials and use this method to solve polynomials
  • Find the distance and midpoint between points in the coordinate plane

Textbook

Algebra 2 -Larson, Boswell, Kanold, and Stiff – Published by McDougal Littell Inc. – 2011

Homework/Tests

Home work/ Independent work will be part of your success.  You can anticipate having assignments 3-4 days per week. A quiz or test will be given each week so that you and I can see your progress and make any modifications necessary for the benefit of the class.

 

The week of 5/1-5/5

Mon:Geometry

Tues: Geometry

Wed: Geometry

Thurs: Geometry

Fri: Geometry

 

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Problem of the Week

http://mathcounts.org/resources/problem-of-the-week

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