|Course title:||Algebra 1-2|
|: 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. Lessons are structured for students to collaborate actively by working in study teams. During class time, students work in study teams on challenging problems that introduce new material. The homework in the “Review & Preview” section of each lesson reinforces previously learned skills and concepts and prepares students for new ones. The homework problems also allow students to apply previously learned concepts and skills in new contexts and deepen their understanding by solving the same type of problem in different ways. CPM offers homework support through Hotmath (www.hotmath.com) and also provides teachers with the answers to problems.|
|Schedule of topics/units covered:|
|1.Problem Solving 2.Variables & Proportions 3.Graphs & Equations 4.Multiple Representations 5.Multiplication & Proportions
6.Systems of Equations 7.Linear Relationships 8.Quadratics
9.Inequalities 10.Simplifying & Solving 11.Functions & Relations 12.Algebraic Extensions
|District adopted materials:|
|College Preparatory Mathematics, Algebra Connections|
|Standards and Benchmarks
Instructional strategies that maximize learner engagement through strategic and differentiated teaching
Assessments/assignments used to monitor student achievement and inform instruction and school improvement plans
Materials and Resources: Technology, graphing calculators, supplemental materials.
|Differentiation/accessibility strategies and support (TAG, ELL, SpEd, other):|
Templates and manipulatives
Spiraling of material
Make connections to previous ideas
|Represent a function with a graph, table, rule, and context and should be able to find any representation when provided one of the others (for linear and quadratic relationships).
Collect and analyze data and make predictions based on the trend of the data.
Symbolically manipulate expressions in order to solve problems, such as factoring, distributing, multiplying polynomials, reducing rational expressions, expanding exponential expressions, etc.
Solve simple and complex equations and inequalities using a variety of strategies, including rewriting (such as factoring, distributing, or completing the square), undoing (such as extracting the square root or subtracting a term from both sides of an equation), and looking inside (such as determining the possible values of the argument of an absolute value expression).
Solve contextual word problems using multiple strategies, including making tables, looking for patterns, drawing diagrams, and creating “Guess and Check” tables to assist with writing and solving a variable equation.
Analyze the slope of a line multiple ways, including graphically, numerically, contextually (as a rate of change), and algebraically.
Solve a system of two linear or non-linear equations and inequalities with two variables using a variety of strategies, both graphically and algebraically.
|Career-related learning experiences (CRLEs):|
|Essential skills to be taught:|
|Essential skills to be assessed:|
|Students are assessed and an ongoing basis through teacher observation, homework, quizzes and test. Grades are determined by 4 categories:
Classroom Participation (10%)
Homework, Warm Ups, Homework Quizzes (30%)
Individual Test and Quizzes (50%)
Team Test (a practice test taken before the individual test) (10%)
|Come to class every day prepared to learn and ready to pay attention.
Begin and end class on time.
Treat yourself and others with respect---other’s opinions, feelings, beliefs, and property.
Use language that is descriptive and does not offend others.Exercise academic integrity.
Seek to understand other peoples’ points of view
|Safety issues and requirements:|
Approved by Margaret Calvert on 9/24/2008.