Ms. Caporaletti, 8th Grade Math

UPDATE: Welcome \| Pre-Algebra HW \| Algebra HW \| Links \| Pre-Alg Curriculum \| Algebra Curriculum \| Handouts \| UpdateIndex \| Help

VIEW: Home \| Welcome \| Pre-Algebra HW \| Algebra HW \| Links \| Pre-Alg Curriculum \| Algebra Curriculum \| Handouts

Visit the TeacherWeb® videos to learn about the features, modifications, and customizations available on your website. Click here to learn more. Algebra Curriculum small medium large Algebra I/Data Analysis Essential Curriculum UNIT I: Patterns and Functions Goal. The student will demonstrate the ability to summarize patterns by examining the relationship between variables using various methods. This unit will provide a foundation for the student as they study specific models of change such as linear, quadratic and exponential models in later units. Objectives – The student will be able to: a. Recognize, describe, represent and/or extend patterns and functional relationships that are expressed numerically, algebraically, and/or geometrically. b. Represent and interpret relations and functions in a real-world context using numbers, graphs, tables, oral/written descriptions, equations, and technology. UNIT II: Solving Linear Equations and Inequalities Goal. The student will demonstrate the ability to solve linear equations and inequalities and apply these concepts to solve real-world problems. Objectives – The student will be able to: a. Simplify and evaluate numerical and algebraic expressions. b. Apply additiona, subtraction, multiplication, and/or division of algebraic expressions to mathematical and real-life problems. c. Solve one-variable equations for the unknown. d. Solve literal equations for a specific variable. e. Solve and graph a one-variable inequality for the unknown, interpret it in the context of the problem, and apply the solution to a real-world application. f. Solve and interpret absolute value expressions and equations. UNIT III: Linear and Non-Linear Functions, Inequalities, and Graphs Goal. The student will demonstrate the ability to graph and write linear equations and inequalities and apply these concepts to solve real-world problems. Objectives – The student will be able to: a. Describe the graph of a non-linear function and discuss its appearance in terms of basic concepts of maxima and minima, zeros (roots), rate of change, domain and range, and continuity. b. Describe how the graphical model of a non-linear equation represents a given problem and estimate the solution. c. Recognize and describe linear functions that are expressed numerically, algebraically, and/or graphically. d. Represent linera functions numerically, algebraically, and/or graphically. e. Determine the equation for a line, solve linear equations, and/or describe the solutions using numbers, symbols, and/or graphs. f. Determine and interpret properties of linear functions, including slope, intercepts, dependent and independent variables, and continuity, in the context of a real-world situation. g. Interpret data and/or make predictions by finding and using a line of best fit and by using a given curve of best fit. h. Identify, describe, and apply properties of direct variation. i. Solve linear inequalities and describe the solutions using numbers, symbols, and/or graphs. j. Write, solve, graph, and/or interpret an inequality in the context of a real-world problem. k. Interpret and solve absolute value equaltions and inequalities. UNIT IV: Statistics, Probability, and Proportional Reasoning Goal. The student will demonstrate the ability to apply probability and statistical methods for representing data, interpreting data, and communicating results. Objectives - The student will be able to: a. Use the concept of ratio, rate, percent, and proportion to solve problems. b. Determine the experimental probability of an event usign real-world data. c. Calculate theoretical probability and use simulations or statistical inference from data to estimate the probability of an event. d. Represent, interpret, and manipulate data in matrices to solve real-world problems. e. Use measures of central tendency and/or variability to draw informed conclusions. f. Organize and analyze data using a histogram, stem-and-leaf plot or box-and-whisker plot. g. Make informed decisions and predictions based upon the results of simulationss and data from research. h. Design and/or conduct an investigation that uses statistical methods to analyze data and communicate results. i. Investigate and communicate the use and misuse of statistics. UNIT V: Linear Systems Goal. The student will demonstrate the ability to develop systems of linear equations to model real-world situations. Systems of liner equations will be solved using a variety of methods and the solutions will be interpreted in the context of the problem. Objectives - The student will be able to: a. Organize and interpret graphs of systems of linear equations with two unknowns. b. Solve and describe using numbers, symbols, and/or graphs if and where two straight lines intersect. c. Write a system of equations for a real-world situation that is expressed verbally, numerically, algebraically, and graphically. d. Write, solve, and/or interpret a system of linear inequalitiess in the context of a real-world problem. UNIT VI: Exponents and Exponential Functions Goal. The student will demonstrate the ability to perform operations involving exponents. They will explore exponential growth and decay through realworld models. Objectives - The student will be able to: a. Apply addition, subtraction, multiplication and/or division of algebraic expressions to mathematical and real-world problems. b. Simplify expressions using laws of exponents. c. Read and write numbers in scientific notation. d. Recognize and describe exponentail functions that are expressed numerically, algebraically, and/or graphically. e. Represent exponential functions numerically, graphically, and/or algebraically. f. Solve real-world problems involving an exponential function. UNIT VII: Polynomials and Quadratics Goal. The student will demonstrate the ability to perform operations with polynomial expressions and to solve and interpret quadratic functions and apply these concepts to real-world problems. Objectives - The student will be able to: a. Write polynomials in standard form. b. Add and subtract polynomials. c. Multiply polynomials. d. Represent polynomials as a product of a monomial and a polynomial. e. Represent a quadratic polynomial as the product of two linear factors. f. Recognize and describe quadratic functions thast are expressed numerically, algebraically, and/or graphically. g. Identify the properties of a quadratic function represented numerically, algebraically, and/or graphically. h. Represent quadratic functions numerically, algebraically, and/or graphically. i. Solve a quadratic function using a graph, factors, and the quadratic formula. j. Evaluate expressions by adding, subtracting, multiplying, dividing, and simplifying radicals. k. Solve a quadratic equation using the quadratic formula. l. Solve a real-world problem involving a quadratic function. Or, would you like to view and optionally restore one of these previous versions? Password: Forgot your password?

Ms. Caporaletti, 8th Grade Math

Algebra Curriculum

©2009 TeacherWeb, Inc.