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Topic outline

  • General

    Algebra 1 (B)

    The main goal of Algebra is to develop fluency in working with linear equations. In this course, students will work with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. Students will learn how to simplify polynomials and begin to study quadratic relationships, along with analyzing mathematical situations verbally, numerically, graphically, and symbolically. Throughout the course, students will have opportunities to apply mathematical skills and make meaningful connections to life’s experiences.


    Creative Commons License
    Algebra 1 (B) course materials created by the Open High School of Utah are licensed under a Creative Commons Attribution 3.0 Unported License. This course contains open educational resources produced by other organizations which may use a different open license. Please confirm the license status of these third-party resources before reusing them. See OpenCourseWare for additional information about licensing. For materials in this course from www.hippocampus.org, terms of use are available at http://www.hippocampus.org/jsp/terms-hippo.jsp.
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  • Topic 1

    Week 1

    • INTRODUCTION to Week 1 Page
    • PRINT: Checklist for Week 1 URL

    • Unit 5: Exponents, Monomials, and Polynomials

    • Lesson 5.1 Introduction to Exponents

    • LEARN: Introduction to Exponents URL
    • WATCH: Powers and Exponents Page

    • Lesson 5.2 Product of Powers

    • LEARN: Product of Powers URL
    • WATCH: Product of Powers Page

    • Lesson 5.3 Power of Powers

    • LEARN: Power of Powers URL
    • WATCH: Power of Powers Page

    • Lesson 5.4 Quotient of Powers

    • LEARN: Quotient of Powers URL
    • WATCH: Quotient of Powers Page

    • End of Week Activities

  • Topic 2

    Week 2

    • INTRODUCTION to Week 2 Page
    • PRINT: Checklist for Week 2 URL

    • Lesson 5.5 Multiplication of Monomials

    • LEARN: Multiplication of Monomials URL
    • WATCH: Multiplication of Monomials Page

    • Lesson 5.6 Division of Monomials

    • LEARN: Division of Monomials URL
    • WATCH: Division of Monomials Page

    • Lesson 5.7 Using Rules of Exponents

    • WATCH: Practice Using Rules of Exponents Page
    • WATCH (optional): Simplify Expressions Using Properties of Exponents Page

    • End of Week Activities

  • Topic 3

    Week 3

    • INTRODUCTION to Week 3 Page
    • PRINT: Checklist for Week 3 URL

    • Lesson 5.8 Scientific Notation

    • LEARN: Scientific Notation URL
    • WATCH: Scientific Notation Page

    • Lesson 5.9 Operations with Scientific Notation

    • LEARN: Operations with Scientific Notation URL
    • WATCH: Operations with Scientific Notation Page
    • WATCH: Practice Scientific Notation Page

    • Lesson 5.10 Polynomials

    • LEARN: Introduction to Polynomials URL
    • WATCH: Polynomials Page
    • LEARN: Adding and Subtracting Polynomials URL
    • WATCH: Adding and Subtracting Polynomials Page

    • Lesson 5.11 Multiplying by a Monomial

    • LEARN: Multiplying by a Monomial URL
    • WATCH: Multiplying by a Monomial Page

    • End of Week Activities

  • Topic 4

    Week 4

    • INTRODUCTION to Week 4 Page
    • PRINT: Checklist for Week 4 URL

    • Lesson 5.12 Multiplying by a Polynomial

    • LEARN: Multiplying by a Polynomial URL
    • WATCH: Multiplying by a Polynomial Page

    • Lesson 5.13 FOIL

    • LEARN: Multiplication Shortcuts URL
    • WATCH: Multiplication Shortcuts Page

    • Lesson 5.14 Practice FOIL (Multiplying Polynomials)

    • WATCH: Practice Multiplying Polynomials (FOIL) Page
    • REVIEW: Scientific Notation & Polynomials Page

    • End of Week Activities

  • Topic 5

    Week 5

    • INTRODUCTION to Week 5 Page
    • PRINT: Checklist for Week 5 URL

    • Lesson 5.15 Factoring Monomials & Finding GCF of Polynomials

    • LEARN: Factors URL
    • WATCH: Factoring Monomials & Finding GCF of Polynomials Page

    • Lesson 5.16 Factor by Grouping (Using the Distributive Property)

    • LEARN: Using the Distributive Property URL
    • WATCH: Factoring by Grouping Page

    • Lesson 5.17 Factoring by Grouping

    • WATCH: More Factoring by Grouping Page

    • End of Week Activities

  • Topic 6

    Week 6

    • INTRODUCTION to Week 6 Page
    • PRINT: Checklist for Week 6 URL

    • Lesson 5.18 Factoring Trinomials $$x^{2}+bx+c$$

    • LEARN: Factoring Trinomials URL
    • WATCH: Factoring Trinomials Page

    • Lesson 5.19 Factoring Trinomials II

    • WATCH: Factoring Trinomials II Page

    • Lesson 5.20 Factoring Trinomials $$ax^{2}+bx+c$$

    • LEARN: More Factoring Trinomials URL
    • WATCH: More Factoring Trinomials Page

    • Lesson 5.21 Practice Factoring Trinomials

    • WATCH: Practice Factoring Trinomials Page

    • End of Week Activities

  • Topic 7

    Week 7

    • INTRODUCTION to Week 7 Page
    • PRINT: Checklist for Week 7 URL

    • Lesson 5.22 Factoring Differences of Squares

    • LEARN: Factoring Differences of Squares URL
    • WATCH: Factoring Differences of Squares Page

    • Lesson 5.23 Factoring Perfect Squares

    • LEARN: Factoring Perfect Squares URL
    • WATCH: Factoring Perfect Squares Page
    • WATCH: Factoring Perfect Squares Page
    • WATCH: Reviewing Factoring Polynomials Page

    • Unit 5 Exam

  • Topic 8

    Week 8

    • INTRODUCTION to Week 8 Page
    • PRINT: Checklist for Week 8 URL

    • Unit 6: Quadratic Equations

    • Lesson 6.1 Quadratic Equations and Functions

    • WATCH: Quadratic Equations and Functions Page

    • Lesson 6.2 Graphing Quadratic Equations

    • WATCH: Using a Table of Values to Graph a Parabola Page
    • WATCH: Identifying the Vertex, Axis of Symmetry and y intercept of Graphs Page
    • WATCH: Identifying Characteristics of Quadratic Functions Page
    • WATCH: Maximum and Minimum Values URL
    • WATCH: Example of Graphing Quadratic Equations Page

    • Lesson 6.3 Transformations of Quadratic Functions

    • WATCH: Vertical and Horizontal Shifts of Quadratic Equations Page
    • WATCH: Dialations of Quadratic Graphs Page
    • CHECK: Self-check of Transformations of Quadratics URL

    • 6.4 Solving Quadratic Equations by Graphing

    • WATCH: Vocabulary of Quadratic Polynomials Page
    • WATCH: Solving Quadratic Equations by Graphing (Two Roots) Page
    • WATCH: Solving Quadratic Equations by Graphing (1 Root) URL
    • WATCH: Solving Quadratic Equations by Graphing (No Real Roots) Page

    • End of Week Activities

  • Topic 9

    Week 9

    • INTRODUCTION to Week 9 Page
    • PRINT: Checklist for Week 9 URL

    • Lesson 6.5 Solving Quadratic Equations using Square Roots

    • LEARN: Solving Quadratic Equations URL
    • WATCH: Solving Quadratic Equations Page

    • Lesson 6.6 Practice Solving Quadratic Equations using Square Roots

    • WATCH: Solving Quadratic Equations by Taking a Square Root Page

    • Lesson 6.7 Solving Quadratic Equations by Factoring

    • LEARN: Solving Quadratic Equations by Factoring URL
    • WATCH: Solving Quadratic Equations by Factoring Page
    • WATCH: Writing a Quadratic Equation from its Solutions Page

    • Lesson 6.8 More Solving Equations by Factoring

    • LEARN: More Solving Quadratic Equations by Factoring URL
    • WATCH: More Solving Quadratic Equations by Factoring Page

    • End of Week Activities

    • WATCH: Factoring Quadratic Equations Review Page

  • Topic 10

    Week 10

    • INTRODUCTION to Week 10 Page
    • PRINT: Checklist for Week 10 URL

    • Lesson 6.9 Practice Solving Quadratic Equations

    • WATCH: Practice Solving Quadratic Equations by Factoring Page
    • WATCH: Additional Examples Solving Quadratic Equations by Factoring Page

    • Lesson 6.10 Review Quadratic Equations

    • WATCH: Review Solving Quadratics- 2 Ways Page
    • WATCH: Solving Quadratics not in Standard Form Page

    • Unit 6 Exam

  • Topic 11

    Week 11

    • INTRODUCTION to Week 11 Page
    • PRINT: Checklist for Week 11 URL

    • Unit 7: Rational Expressions

    • Lesson 7.1 Introduction to Rational Expressions

    • LEARN: Introduction to Rational Expressions URL
    • WATCH: Rational Expressions Page

    • Lesson 7.2 Multiplying Rational Expressions

    • LEARN: Multiplying Rational Expressions URL
    • WATCH: Multiplying Rational Expressions Page
    • OPTIONAL VIDEO: Simplifying Rational Expressions Page

    • Lesson 7.3 Dividing Rational Expressions

    • LEARN: Dividing Rational Expressions URL
    • WATCH: Dividing Rational Expressions Page

    • Lesson 7.4 Simplifying Rational Expressions

    • End of Week Activities

  • Topic 12

    Week 12

    • INTRODUCTION to Week 12 Page
    • PRINT: Checklist for Week 12 URL

    • Lesson 7.5 Practice Multiplying & Dividing Rational Expressions

    • WATCH: Practice Multiplying & Dividing Rational Expressions Page
    • OPTIONAL VIDEO: Additional Examples of Operations with Rational Expressions Page

    • Lesson 7.6 Dividing a Polynomial by a Monomial

    • LEARN: Dividing a Polynomial by a Monomial URL
    • WATCH: Dividing a Polynomial by a Monomial Page
    • WATCH: Practice with Polynomials and Rational Expressions Page

    • Lesson 7.7 Solving Proportions

    • WATCH: Solving Proportions Page
    • WATCH: Practice Solving Proportions Page

    • Unit 7 Test

  • Topic 13

    Week 13

    • INTRODUCTION to Week 13 Page
    • PRINT: Checklist for Week 13 URL

    • Unit 8: Radical Expressions

    • Lesson 8.1 Introduction to Radical Expressions

    • LEARN: Introduction to Radical Expressions URL
    • WATCH: Introduction to Radical Expressions Page

    • Lesson 8.2 Properties of Square Roots

    • LEARN: Properties of Square Roots URL
    • WATCH: Properties of Square Roots Page

    • Lesson 8.3 Multiplying Radical Expressions

    • WATCH: Multiplying Radical Expressions Page

    • Lesson 8.4 Adding and Subtracting Radical Expressions

    • LEARN: Adding & Subtracting Radical Expressions URL
    • WATCH: Adding & Subtracting Radical Expressions Page

    • End of Week Activities

  • Topic 14

    Week 14

    • INTRODUCTION to Week 14 Page
    • PRINT: Checklist for Week 14 URL

    • Lesson 8.5 Multiplying Radical Expressions (Using the Distributive Property)

    • LEARN: Multiplying Radical Expressions URL
    • WATCH: Multiplying Radical Expressions (using the Distributive Property) Page

    • Lesson 8.6 Practice Operations with Radical Expressions

    • WATCH: Practice Operations with Radical Expressions Page

    • Lesson 8.7 Solving Radical Equations

    • LEARN: Solving Radical Equations URL
    • WATCH: Solving Radical Equations Page

    • Lesson 8.8 Pythagorean Theorem

    • LEARN: Pythagorean Theorem URL
    • WATCH: Pythagorean Theorem Page

    • End of Week Activities

  • Topic 15

    Week 15

    • Lesson 8.9 Distance Formula

    • LEARN: Distance Formula URL
    • WATCH: Distance Formula Page

    • Lesson 8.10 Practice Pythagorean Theorem & Distance Formula

    • WATCH: Practice Pythagorean Theorem & Distance Forumula Page

    • Unit 8 Exam

    • WATCH: Unit 8 Review- Radical Expressions & Equations Page

  • Topic 16

    CRT Review

    • Topic 17

      Week 17

      • Algebra 1 Review: Units 0 - 8

      • Review Unit 0: Prealgebra
      • Review Unit 1: Basic Algebra Principles
      • Review Unit 2: Inequalities and Absolute Value
      • Review Unit 3: Functions and Linear Equations
      • Review Unit 4: Systems of Equations and Inequalities
      • Review Unit 5: Exponents, Monomials, and Polynomials
      • Review Unit 6: Quadratic Equations
      • Review Unit 7: Rational Expressions
      • Review Unit 8: Radical Expressions

    • Topic 18

      Week 18

      • Algebra 1 Final Exam

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