B4 Pre-Algebra

Welcome to Pre-Algebra!  Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts that arise from them.  Together with geometry, analysis, number theory and others, algebra is one of the main branches of pure mathematics.  The roots of algebra can be traced to the ancient Babylonians,who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion.

In Pre-Algebra, we will build upon our understanding of the arithmetic operations of adding, subtracting, multiplying and dividing.  Our units of study will include Variables and Equations, Integer Operations, Solving Equations and Inequalities, Factors Fractions and Exponents, Real and Rational Number Operations, Multi-Step Equations and Inequalities, Ratio Proportions and Percent, Linear and Non-Linear Functions, and Right Triangles and the Pythagorean Theorem.

The student will be asked to demonstrate a basic understanding of Numbers and Operations, Algebra, Linear Functions, Geometry and Data Interpretation.

Pre Algebra students will also work on systematic methods of Problem Solving and learn eight basic problem solving methodologies.  The methodologies we will study are:

  • Using and Looking for Patterns
  • Using and Making a Table
  • Making an Organized List
  • Guess and Check

 
  • Using Logical Reasoning
  • Problem Simplification
  • Working Backwards
  • Using Pictures and Diagrams

 

We are committed to working with you to help you better understand numbers, number operations, and problem solving and to prepare you to be successful as you move into Algebra and Geometry.

Pre-Algebra Syllabus

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August 19, 2011 | | No Comments »

B2 Geometry

Welcome to Geometry! The roots of the word GEOMETRY mean “to measure the earth,” so this course will help you learn how to measure and describe many shapes.  But this course will be much more than just measuring things, we will also emphasize abstract concepts and logical thinking.

Through the course of the year, we will explore how lines, planes, polygons, circles, as well as spheres and other three-dimensional figures can be used to represent and solve a variety of abstract and real-world problems.  The skills you learned in Algebra I will be revisited, reinforced, and applied throughout the year.  Our work in this course will help you understand how all fields of mathematics are intertwined and how they depend on each other.

Our units of study will include Reasoning and Proof, Parallel and Perpendicular Lines, Congruent Triangles, Relationships within Triangles, Ratios Proportions and the Geometric Mean, Right Triangles and Trigonometry, Transformations, Properties of Circles, and Measurements.

The student will be asked to demonstrate their ability to:

  • Calculate measurements of geometric figures
  • Construct logical arguments to prove theorems and geometric results
  • Apply properties of geometric figures to solve real-world mathematical problems
  • Solve real-world and mathematical geometric problems using algebraic methods.

We are committed to working with you to help you understand Geometry and to prepare for further studies in the areas of Advanced Algebra, Trigonometry, and Calculus.

Geometry Syllabus

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B1 Geometry

Welcome to Geometry! The roots of the word GEOMETRY mean “to measure the earth,” so this course will help you learn how to measure and describe many shapes.  But this course will be much more than just measuring things, we will also emphasize abstract concepts and logical thinking.

Through the course of the year, we will explore how lines, planes, polygons, circles, as well as spheres and other three-dimensional figures can be used to represent and solve a variety of abstract and real-world problems.  The skills you learned in Algebra I will be revisited, reinforced, and applied throughout the year.  Our work in this course will help you understand how all fields of mathematics are intertwined and how they depend on each other.

Our units of study will include Reasoning and Proof, Parallel and Perpendicular Lines, Congruent Triangles, Relationships within Triangles, Ratios Proportions and the Geometric Mean, Right Triangles and Trigonometry, Transformations, Properties of Circles, and Measurements.

The student will be asked to demonstrate their ability to:

  • Calculate measurements of geometric figures
  • Construct logical arguments to prove theorems and geometric results
  • Apply properties of geometric figures to solve real-world mathematical problems
  • Solve real-world and mathematical geometric problems using algebraic methods.

We are committed to working with you to help you understand Geometry and to prepare for further studies in the areas of Advanced Algebra, Trigonometry, and Calculus.

Geometry Syllabus

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A1 Pre-Algebra

Welcome to Pre-Algebra!  Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts that arise from them.  Together with geometry, analysis, number theory and others, algebra is one of the main branches of pure mathematics.  The roots of algebra can be traced to the ancient Babylonians,who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion.

In Pre-Algebra, we will build upon our understanding of the arithmetic operations of adding, subtracting, multiplying and dividing.  Our units of study will include Variables and Equations, Integer Operations, Solving Equations and Inequalities, Factors Fractions and Exponents, Real and Rational Number Operations, Multi-Step Equations and Inequalities, Ratio Proportions and Percent, Linear and Non-Linear Functions, and Right Triangles and the Pythagorean Theorem.

The student will be asked to demonstrate a basic understanding of Numbers and Operations, Algebra, Linear Functions, Geometry and Data Interpretation.

Pre Algebra students will also work on systematic methods of Problem Solving and learn eight basic problem solving methodologies.  The methodologies we will study are:

  • Using and Looking for Patterns
  • Using and Making a Table
  • Making an Organized List
  • Guess and Check

 
  • Using Logical Reasoning
  • Problem Simplification
  • Working Backwards
  • Using Pictures and Diagrams

 

We are committed to working with you to help you better understand numbers, number operations, and problem solving and to prepare you to be successful as you move into Algebra and Geometry.

Pre-Algebra Syllabus

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August 12, 2011 | | No Comments »

A3 Algebra 1

Welcome to Algebra 1!  ALGEBRA is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts that arise from them.  Together with geometry, analysis, number theory and others, algebra is one of the main branches of pure mathematics.

The roots of algebra can be traced to the ancient Babylonians,who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using linear equations, quadratic equations, and indeterminate linear equations.  We will learn what the ancient Babylonians knew and much more.

Our units of study will include Properties of Real Numbers, Solving Linear Equations, Graphing Linear Equations and Functions, Writing Linear Equations, Solving and Graphing Linear Inequalities, Systems of Equations and Inequalities, Exponents and Exponential Functions, and Probability and Data Analysis.

The student will be asked to demonstrate their understanding of:

  • Functions
  • Linear Functions
  • Equivalent Algebraic Expressions
  • Representing real-world situations using Equations and Inequalities
  • Data Analysis and Probability

We are committed to working with you to help you better understand numbers, number operations, and problem solving and to prepare you to be successful as you move into Geometry and Algebra II.

Algebra 1 Syllabus

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A2 Algebra 1

Welcome to Algebra 1!  ALGEBRA is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts that arise from them.  Together with geometry, analysis, number theory and others, algebra is one of the main branches of pure mathematics.

The roots of algebra can be traced to the ancient Babylonians,who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using linear equations, quadratic equations, and indeterminate linear equations.  We will learn what the ancient Babylonians knew and much more.

Our units of study will include Properties of Real Numbers, Solving Linear Equations, Graphing Linear Equations and Functions, Writing Linear Equations, Solving and Graphing Linear Inequalities, Systems of Equations and Inequalities, Exponents and Exponential Functions, and Probability and Data Analysis.

The student will be asked to demonstrate their understanding of:

  • Functions
  • Linear Functions
  • Equivalent Algebraic Expressions
  • Representing real-world situations using Equations and Inequalities
  • Data Analysis and Probability

We are committed to working with you to help you better understand numbers, number operations, and problem solving and to prepare you to be successful as you move into Geometry and Algebra II.

Algebra 1 Syllabus

What’s New In Algebra 1

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