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Datasheet NROC Algebra 1: An Open Course

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Datasheet on NROC Algebra 1 course.

Datasheet on NROC Algebra 1 course.

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  • 1. Algebra 1: An Open Course Coming Summer 2010 Goal: To offer a multi-modal approach to Algebra I that incorporates cutting edge online learning methods and technologies and is delivered to the world as an Open Educational Resource. Curriculum. Offering a scope and sequence of a two-semester Algebra 1 course that is traditionally a student’s first exposure to Algebra in middle or high school, this course will be correlated to national common core standards and to standards across the 50 states. Approach. Designed to be a flexible, learner-centered experience, this project takes into account learning theory, research in mathematics education, and new research in technology, media and learning. The design process is informed by a rigorous study of current and proposed curriculum standards and products, including textbooks, software, web applications and tools. The evolving design concepts were further refined by an advisory panel of math experts, educational membership organizations, practitioners, and a series of focus groups around the country with administrators, instructors, and students. We will continue to collaborate with a full range of stakeholders throughout the development process. Flexible Design. The learning experience integrates a broad range of approaches designed to open the door to mathematics concepts, procedures, mathematical reasoning and critical thinking for teachers and learners. The Learning Object architecture allows institutions and instructors to adapt the content to different programs and learners' needs. Components. The portfolio of learning objects includes dynamic audio and video presentations, active and collaborative learning activities, problem sets, self-tests with feedback, and formative and summative assessment. Students work through activities in the sequence that leverages their own successful learning st strategies while building their 21 century skills. Components include: • Warm-ups: a series of problems to assess prior knowledge and recommend review. • Presentations: the new media equivalent of a session with a teacher explaining the topic. • Text: a textbook-style explanation that reinforces the concepts being taught. • Worked Examples: narrated step-by-step presentations of a problem being solved. • Problems: questions designed in adaptive sets, giving students practice and feedback. • Review: self-test mastery before moving to the next lesson. • Projects: promote collaboration in the project-based learning tradition to solve real-world problems. • Study Group Simulations: put students in a virtual study group to help fellow students solve problems. • Simple Games: give learners a chance to practice what they have learned in a no-fault environment. • Assessment: formative and summative assessment designed to guide a learner's progress. Distribution. Course content will be distributed to educational institutions through the National Repository of Online Courses (NROC), MITE’s highly respected library of learning objects and courses, and will be accessible to individual learners and teachers free of charge online at Hippocampus (www.hippocampus.org ). A project of the Monterey Institute for Technology and Education (MITE) with support from The William and Flora Hewlett Foundation. NROC is an Open Educational Resource, part of a movement fueled by the belief that everyone is entitled to an education, regardless of their financial or social circumstances.
  • 2. Algebra 1: An Open Course (Semester 1) Algebra 1: An Open Course (Semester 2) UNIT 1: THE LANGUAGE OF ALGEBRA UNIT 7: RADICAL EXPRESSIONS Lesson 1: Algebraic Expressions Lesson 14: Exponents Variables and Expressions Scientific Notation Evaluating Expressions Simplifying Expressions with Exponents Lesson 2: Properties of Numbers Fractional Exponents Associative and Commutative Properties Lesson 15: Radical Expressions and Equations The Distributive Property Simplifying Radical Expressions Properties of Equality, Identity and Inverse Solving Radical Equations Applying Radical Equations UNIT 2: SOLVE LINEAR EQUATIONS Lesson 16: The Pythagorean Theorem Lesson 3: Writing and Solving Equations Applications of the Pythagorean Theorem Solving Equations (+, - , *, /) Solving Multi-Step Equations UNIT 8: POLYNOMIALS Writing Expressions and Equations Lesson 17: Operations on Monomials Solving for a Specific Variable Multiplying and Dividing Monomials Lesson 4: Absolute Value Equations Lesson 18: Operations on Polynomials Absolute Value Polynomials Solving Absolute Value Equations Adding and Subtracting Polynomials Multiplying Polynomials UNIT 3: FUNCTIONS AND PATTERNS Special Products of Polynomials Lesson 5: Working with Patterns Inductive Patterns UNIT 9: FACTORING Representing Patterns Lesson 19: Factoring Monomials and Polynomials Lesson 6: Graphing Functions and Relations Factoring and the Distributive Property Representing Functions and Relations Factoring Trinomials by Grouping 1 Domain and Range Factoring Trinomials by Grouping 2 Proportional Functions (Direct Variation) Lesson 20: Factoring Special Products of Polynomials Linear Functions Factoring Special Products Non-linear Functions Solving Quadratic Equations by Factoring UNIT 4: ANALYZE AND GRAPH LINEAR EQUATIONS, FUNCTIONS UNIT 10: QUADRATIC FUNCTIONS AND RELATIONS Lesson 21: Quadratic Functions Lesson 7: Graphing Linear Equations Graphing Quadratic Functions Rate of Change and Slope Solving Quadratic Equations by Completing the Intercepts of Linear Equations Square Graphing Equations in Slope Intercept Form Proving the Quadratic Formula Point Slope Form and Standard Form of Linear Solving Quadratic Equations Using the Quadratic Equations Formula Lesson 8: Parallel and Perpendicular Lines The Discriminant Parallel Lines Lesson 22: Applying Quadratic Functions Perpendicular Lines Applications of Quadratic Functions Systems of Non-Linear Equations UNIT 5: ANALYZE, SOLVE, AND GRAPH LINEAR INEQUALITIES Lesson 9: Writing, Solving and Graphing Inequalities UNIT 11: RATIONAL EXPRESSIONS AND EQUATIONS in One Variable Lesson 23: Rational Expressions Solving and Graphing Inequalities in One Variable Simplifying Rational Expressions Solving and Graphing Absolute Value Inequalities Multiplying and Dividing Rational Expressions Writing and Using Inequalities Adding and Subtracting Rational Expressions Lesson 10: Solving and Graphing Linear Inequalities Lesson 24: Rational Equations in Two Variables Solving Rational Equations Solving and Graphing Linear Inequalities in Two Applying Rational Equations Variables UNIT 12: EXTENSIONS AND APPLICATIONS UNIT 6: SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES Lesson 25: Logical Reasoning and Number Sets Lesson 11: Solving Systems of Linear Equations Logic and Properties of Numbers Solving Systems by Graphing Inductive and Deductive Reasoning Solving Systems by Substitution Logic and Counterexamples Solving Systems by Elimination Always, Sometimes and Never True Lesson 12: Applying Systems of Equations Number Sets Rate Problems Lesson 26: Probability Mixture Problems Events and Outcomes (Counting) Lesson 13: Graphing Systems of Inequalities Permutations and Combinations Graphing Systems of Inequalities Probability of Independent Events Probability of Compound Events

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