Algebra 1

Algebrs 1 DavidSchool
22
Aug
$19.00

Credit Value: 1 

Anticipated Grade Level(s): 8th and 9th. 

Prerequisites:  Pre-Algebra or equivalent. 

Course Description:   

The content of Algebra 1 is organized around families of functions, with special emphasis on linear and quadratic functions.  As students learn about each family of functions, they will learn to represent them in multiple ways – as verbal descriptions, equations, tables, and graphs.  They will also learn to model real-world situations using functions in order to solve problems arising from those situations.  In addition to its algebra content, the course includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry.

This is a first-year algebra course in which you will learn to reason symbolically. The key content involves writing, solving, and graphing linear and quadratic equations, including systems of two linear equations in two unknowns. Quadratic equations are solved by factoring, completing the square, graphically, or by application of the quadratic formula. The course also includes a study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion. Algebraic skills are applied in a wide variety of problem-solving situations.

Algebra 1 topics include recognizing and developing patterns using tables, graphs, and equations. In addition,  students will explore operations on algebraic expressions, apply mathematical properties to algebraic equations. Students will solve problems using equations, graphs, and tables to investigate linear relationships. Technology will be used to introduce and expand upon the areas of study listed above. Use of computers and graphing calculators will be incorporated into each module.

Aims & Goals:  

Algebraic thinking is an important life-skill expected of all school graduates.  The course provides a solid foundation for subsequent mathematics courses in the upper school.  It also plays an essential role in preparation for standardized tests.

Course Content

Total learning: 74 lessons Time: 30 weeks
  • Chapter 1: Expressions, Equations, and Functions  0/7

    • Lecture1.1
    • Lecture1.2
    • Lecture1.3
    • Lecture1.4
    • Lecture1.5
    • Lecture1.6
    • Lecture1.7
  • Chapter 2: Solving Linear Equations  0/8

    • Lecture2.1
    • Lecture2.2
    • Lecture2.3
    • Lecture2.4
    • Lecture2.5
    • Lecture2.6
    • Lecture2.7
    • Lecture2.8
  • Chapter 3: Graphing Linear Equations and Functions  0/7

    • Lecture3.1
    • Lecture3.2
    • Lecture3.3
    • Lecture3.4
    • Lecture3.5
    • Lecture3.6
    • Lecture3.7
  • Chapter 4: Writing Linear Equations  0/7

    • Lecture4.1
    • Lecture4.2
    • Lecture4.3
    • Lecture4.4
    • Lecture4.5
    • Lecture4.6
    • Lecture4.7
  • Chapter 5: Solving and Graphing Linear Inequalities  0/7

    • Lecture5.1
    • Lecture5.2
    • Lecture5.3
    • Lecture5.4
    • Lecture5.5
    • Lecture5.6
    • Lecture5.7
  • Chapter 6: Systems of Equations and Inequalities  0/6

    • Lecture6.1
    • Lecture6.2
    • Lecture6.3
    • Lecture6.4
    • Lecture6.5
    • Lecture6.6
  • Chapter 7: Exponents and Exponential Functions  0/5

    • Lecture7.1
    • Lecture7.2
    • Lecture7.3
    • Lecture7.4
    • Lecture7.5
  • Chapter 8: Polynomials and Factoring  0/8

    • Lecture8.1
    • Lecture8.2
    • Lecture8.3
    • Lecture8.4
    • Lecture8.5
    • Lecture8.6
    • Lecture8.7
    • Lecture8.8
  • Chapter 9: Quadratic Equations and Functions  0/9

    • Lecture9.1
    • Lecture9.2
    • Lecture9.3
    • Lecture9.4
    • Lecture9.5
    • Lecture9.6
    • Lecture9.7
    • Lecture9.8
    • Lecture9.9
  • Chapter 10: Data Analysis and Probability  0/10

    • Lecture10.1
    • Lecture10.2
    • Lecture10.3
    • Lecture10.4
    • Lecture10.5
    • Lecture10.6
    • Lecture10.7
    • Lecture10.8
    • Lecture10.9
    • Lecture10.10

Instructor

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David is the professor of mathematics education at David School and a former Associate Professor of Physics at JNTU. He served as a teacher of mathematics and Physics in various international schools in Asia and Europe. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. David School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.

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$19.00