Course Overview:

This course was created to help you gain pre-algebra skills in order to prepare you for Algebra 1 next year. We will be using Khan Academy to help you master concepts, as well as learning how to love math by using a New York Times Best Seller book, Kiss My Math: Showing Pre-Algebra Who’s Boss by Danica McKellar. This book has been recommended by many math teachers across the nation. Using this book and Khan Academy curriculum, you will be expected to work on problems in class and at home in order to facilitate learning at a faster pace. We will go over concepts and problems that are difficult for the majority of students, however you are expected to use your notes, chapters from the book, Khan Academy problem hints, videos and articles to work out problems before turning to your peers or teacher for help. The beauty of using an online platform is that you will see yourself master concepts at a pace you set, which will enable you to move ahead as you feel comfortable. Further, you will learn to become more self-sufficient, relying on your own brain to aid you in figuring out the problems -- logically.

Course Objectives:

The objective of this course is to increase your ability in Pre-Algebraic concepts so that you have a solid foundation for learning concepts taught to you in the Algebra 1 course. In so doing, the major objective of this course is to further develop your logical reasoning and problem-solving skills to prepare you for higher levels of math, scientific research, persuasive arguments and writing, and beyond.

Curriculum:

Kiss My Math: Showing Pre-Algebra Who’s Boss

(New York Times Bestseller by Danica McKellar)

Khan Academy Online Curriculum

Learning Outcomes: California Standards

- Students know the properties of, and compute with, rational numbers expressed in a variety of forms.
- Students use exponents, powers, and roots and use exponents in working with fractions.
- Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs.
- Students interpret and evaluate expressions involving integer powers and simple roots.
- Students graph and interpret linear and some nonlinear functions.
- Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems.
- Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects.They know how perimeter, volume and area are affected by changes of scale.
- Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures.
- Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program.
- Students make decisions about how to approach problems.
- Students use strategies, skills, and concepts in finding solutions.
- Students determine a solution is complete and move beyond a particular problem by generalizing to other situations.

Grading:

Participation/Assignments 70%

Quizzes/Tests 30%

Extra Credit:

There is always extra credit to help with student success. I may give an offering of extra credit or you may negotiate something with me. Come to me with a proposal and we will see what will work best for providing you with opportunities to make up missed work.

Absences:

A lot of student learning can only take place in the classroom. That said, I understand that from time to time there will be absences. Please make every effort to speak with me about making up assignments that you missed.

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**Course Overview:**

ALGEBRA I

ALGEBRA I

This course was created to help you further the skills you learned in pre-algebra and delve deeper into symbolic language as it is used in mathematics and sciences. We will be using Khan Academy to help you master concepts, as well as learning how to love algebraic concepts by using a New York Times Best Seller book, Hot X: Algebra Exposed! by Danica McKellar. This book has been recommended by many math teachers across the nation. Using this book and Khan Academy curriculum, you will be expected to work on problems in class and at home in order to facilitate learning at a faster pace. We will go over concepts and problems that are difficult for the majority of students, however you are expected to use your notes, chapters from the book, Khan Academy problem hints, videos and articles to work out problems before turning to your peers or teacher for help. The beauty of using an online platform is that you will see yourself master concepts at a pace you set, which will enable you to move ahead as you feel comfortable. Further, you will learn to become more self-sufficient, relying on your own brain to aid you in figuring out the problems -- logically.

Course Objectives:

The objective of this course is to increase your ability to use symbolic reasoning by studying symbolic language as it is used in mathematical calculations. This translates into further developing your logical reasoning and problem-solving skills in order to prepare you for higher levels of math, scientific research, persuasive arguments, writing, and beyond.

Curriculum:

Hot X: Algebra Exposed! (New York Times Bestseller by Danica McKellar)

Khan Academy Online Curriculum

Learning Outcomes: California Standards

- Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.
- Students use properties of numbers to demonstrate whether assertions are true or false.
- Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.
- Students solve equations and inequalities involving absolute values.
- Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12
- Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
- Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
- Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
- Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.
- Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
- Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
- Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.
- Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.
- Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques.
- Students solve a quadratic equation by factoring or completing the square.
- Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
- Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.
- Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.
- Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.
- Students know the quadratic formula and are familiar with its proof by completing the square.
- Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations.
- Students graph quadratic functions and know their roots are the x-intercepts.
- Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.
- Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.
- Students use and know simple aspects of a logical argument.
- Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements.

Grading:

Participation/Assignments 70%

Quizzes/Tests 30%

Extra Credit:

There is always extra credit to help with student success. I may give an offering of extra credit or you may negotiate something with me. Come to me with a proposal and we will see what will work best for providing you with opportunities to make up missed work.

Absences:

A lot of student learning can only take place in the classroom. That said, I understand that from time to time there will be absences. Please make every effort to speak with me about making up assignments that you missed.