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MYP Course Outline - Algebra 1/Algebra Connections

Level: 8th and 9th
Course Title: Algebra 1/Algebra Connections
Course Description: Algebra Connections is the first course in a five-year sequence of college preparatory mathematics courses that delivers traditionally rigorous algebraic content using a problem-based approach. It has strong threads woven throughout the course on multiple representations and the meaning of a solution. A major focus of the course is to develop multiple strategies to solve problems and to recognize multiple ways of understanding concepts.
The course is structured around problems and investigations that build the conceptual understanding of these algebraic topics and an awareness of connections between the different ideas. Students are encouraged to investigate, communicate their thinking, and generalize.
MYP Aims Addressed by this Course:
The aims of teaching and learning mathematics are to encourage and enable students to:

recognize that mathematics permeates the world around us
appreciate the usefulness, power and beauty of mathematics
enjoy mathematics and develop patience and persistence when solving problems
understand and be able to use the language, symbols and notation of mathematics
develop mathematical curiosity and use inductive and deductive reasoning when solving problems
become confident in using mathematics to analyze and solve problems both in school and in real-life situations
develop the knowledge, skills and attitudes necessary to pursue further studies in mathematics
develop abstract, logical and critical thinking and the ability to reflect critically upon their work and the work of others
develop a critical appreciation of the use of the information and communication technology (ICT) in mathematics
appreciate the international dimension of mathematics and its multicultural and historical perspectives

Time (weeks)	Instructional Units for the Year	Essential and/or Guiding Questions	Area of Interaction	Assessment
3 weeks	Variables and Proportions Simplifying expressions by combining like terms Writing algebraic expressions Using algebra tiles to simplify and compare algebraic expressions Using algebra tiles to solve for x Solving problems with proportional intuition	What is a variable? What can I do with a variable? How can I solve for a variable How many different ways can I write an expression? What is the relationship?	Community and service	Standardized tests and rubrics Group work Projects Criterion A: Knowledge and Understanding
3 weeks	Graphs and Equations Using tables, graphs and rules to make predictions Identifying common graphing errors Solving equations and testing the solutions Solving equations to solve problems	What is a variable? What is the pattern? In how many different ways can you represent it? How can you solve it? How can you check your answer?	Environment	Standardized tests and rubrics Group work Projects Criterion C: Communication in mathematics:
3 weeks	Multiple Representations Use the connections between graphs, tables, rules and patterns to solve problems Connecting linear rules and graphs Solving systems of equations algebraically	What is the connection? Is there a pattern? In how many different ways can it be represented? How does the pattern show up in the rule, table or graph? How does the pattern grow?	Health and social education	Standardized tests and rubrics Group work Projects Criterion C: Communication in mathematics
3 weeks	Multiplication and proportions Multiplying binomials and using the distributive property Setting up and solving proportions	What is the area? How can you write it? What is the relationship? How can you solve it? Is there another way?	Human ingenuity	Standardized tests and rubrics Group work Projects Criterion A: Knowledge and understanding
4 weeks	Systems of Equations Solving problems by writing equations Solving systems of equations using substitution and elimination	What is a solution? How can you represent it algebraically? How can you solve it? Is there another way? How can you check your answer?	Community and Service	Standardized tests and rubrics Group work Projects Criterion D: Reflection in mathematics: explain whether his or her results make sense in the context of the problem
4 weeks	Linear Relationships Introduction of slope an y=mx+b Finding an equation given a slope and a point Slopes of parallel and perpendicular lines Finding the equation of a line through two points.	What is slope? What is a rate? What information is necessary to find the equation of a line? How are the slopes of two lines related?	Human ingenuity	Standardized tests and rubrics Group work Projects Criterion A: Knowledge and understanding
4 weeks	Quadratics Solving quadratic equations by factoring Multiple representations for quadratics Zero product property Intro to quadratic equations	How can I rewrite it? What's the connection? What's special about zero? Is there another method?	Human ingenuity	Standardized tests and rubrics Group work Projects Criterion B: Investigating patterns
4 weeks	Inequalities Solving linear inequalities Graphing linear und non-linear inequalities Systems of inequalities	How can you represent it algebraically? How can you solve it? What's the solution? What's the connection?	Environment	Standardized tests and rubrics Group work Projects Criterion A: Knowledge and understanding
4 weeks	Simplifying and solving Simplifying expressions Solving inequalities with absolute value Solving absolute value and quadratic inequalities Completing the square Simplifying exponential expressions	How can you rewrite it? How can you solve it? Is there another method? What is special about number 1?	Human ingenuity	Standardized tests and rubrics Group work Projects Criterion A: Knowledge and understanding
4 weeks	Functions and relations Find the domain and range of a function Recognize symmetry in a graph Determine if a relation is a function by looking at its table or graph Predict the shape of a graph by its rule	What does the graph look like? Is there a pattern? How does it grow? Is it a function? How can you describe it?	Environment	Standardized tests and rubrics Group work Projects Criterion B: Investigating patterns

Course Outlines - Math

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