TEACHER Fouts,Fuller,Ragan,Wiese 2010-2011 Curriculum Map
ESSENTIAL QUESTIONS
CONTENT
SKILLS
COURSE Algebra I/II
SEPTEMBER What is a numeric expression? What is a variable? How do you simplify variable expressions? How do you evaluate algebraic expressions? What is the distributive property? How do you apply the distributive property? What is the order of operations? Numeric expressions Variable expressions Algebraic expressions Distributive property Order of Operations Prentice Hall 2004ed. Chapter 1 Lessons 1-1, 1-2, 1-3, 1-4, 15, 1-6, 1-7 Understand and use variables, exponents and order of operations. Apply all operations (+, x, - /) to real numbers. Utilize the distributive property to simplify and evaluate numeric and algebraic expressions. Homework, quizzes, tests, observations, and projects
ASSESSMENTS VOCABULARY
Quotient, product, sum, difference, algebraic expression, algebraic equation, exponent, Variable, base, power, evaluate, rational number, irrational number, inequality, absolute value, additive inverse, multiplicative inverse, reciprocal, constant, coefficient,
Curtis Junior High School
OCTOBER What is a simple equation? What is a complex Equation? How is a simple or complex equation solved? How so we solve story problems? What is a simple inequality? What is a complex inequality? How are simple and complex inequalities solved?
Simple equations Complex equations Problem solving Simple inequalities Complex inequalities Prentice Hall 2004ed. Chapter 2 Lessons 2-1, 2-2, 2-3, 2-4, 2-5, 2-6, and Chapter 3 Lessons 3-1, 3-2, 3-3, 3-4, 3-5, 3-6 Understand how to solve one-step, two-step and multi-step equations. Know how to solve equations with variables on both sides of the equal sign. Understand how to solve story problems using algebraic reasoning and formulas. Understand how to use all operations to solve inequalities. Know how to graph inequalities. Homework, quizzes, tests, observations, and projects Consecutive integers, equivalent equations, identity, inverse equations, solution of an equation Solution, equivalent inequalities, compound inequalities
1
TEACHER Fouts,Fuller,Ragan,Wiese 2010-2011 Curriculum Map
ESSENTIAL QUESTIONS
CONTENT
SKILLS
ASSESSMENTS VOCABULARY
COURSE Algebra I/II
NOVEMBER What is a proportion? How do you solve a proportion problem? What is a percent? What is necessary to set up and solve a percent problem? What are function rules? How is a function rule evaluated? How is a function rule written? How are tables and graphs constructed? Proportions Percentages Function Rules Tables Graphs Prentice Hall 2004ed. Chapter 4 Lessons 4-1, 4-2, 4-3, 4-4, and 5 Lessons 5-1, 5-2, 5-3, 5-4, 5-5 Understand the use of ratios, proportions and similar figures to solve problems. Know how to apply ratios to probability. Determine percent of change. Understand how to model data using tables, graphs and equations. Homework, quizzes, tests, observations, and projects
DECEMBER How do you find the rate of change/slope of an equation? How do you write and graph linear equations?
Ratio, rate, unit rate, proportion, cross products, similar figures, scale drawing, scale, percent of change, percent of increase, percent of decrease Arithmetic sequence, common difference, conjecture, constant of variation, dependent variable, direct variation, domain, function, function notation, function rule, independent variable, inductive reasoning, range, relation, sequence, term, vertical-line test
Rate of change, slope, linear equation, y-intercept, slopeintercept form
Curtis Junior High School
Rate of Change Rise over run Write and graph linear equations Prentice Hall 2004ed. Chapter 6 Lessons 6-1, 6-2
Understand how to find the rates of change from tables and graphs. Know how to determine the slope of a line. Understand how to use the slope-intercept form to write equations and to graph linear equations. Homework, quizzes, tests, observations, and projects
2
TEACHER Fouts,Fuller,Ragan,Wiese 2010-2011 Curriculum Map
COURSE Algebra I/II
JANUARY How do you write and graph linear equations in: slope intercept form? Standard form? Point slope form? How you create, identify and write equations for parallel and perpendicular lines?
FEBRUARY What is a system of equation and how do you solve and graph one? What are negative and zero exponents and how do they relate to positive exponents? What are the multiplication properties of exponents? How do you graph exponential functions?
CONTENT
Read, write and graph linear equations in slope intercept, standard and point slope forms. Identify and create equations for parallel and perpendicular lines. Prentice Hall 2004 ed. Chapter 6 Lessons 6-1, 6-2, 6-3, 6-4, 6-5
Solve systems of equations graphically Solve systems of equations algebraically Multiplicative properties of exponents Properties of negative and zero exponents Prentice Hall 2004ed. Chapter 7 Lessons 7-1, 7-2, 7-3, 7-4, 7-5, 7-6
SKILLS
Graph linear equations using intercepts. Use the standard form to write equations. Write and graph linear equations using point-slope form. Determine whether lines are parallel or perpendicular.
Solve equations using graphing, substitution, and elimination and to determine which method is best for a given situation. Learn the properties of exponents and how exponents are used to write a geometric sequence. Graph exponential functions
ASSESSMENTS
Homework, quizzes, tests, observations, and projects
Homework, quizzes, tests, observations, and projects
VOCABULARY
Absolute value equation, line of best fit, linear equation, negative reciprocal, parallel lines, perpendicular lines, pointslope form, rate of change, slope, slope-intercept form, standard form, x-intercept, y-intercept form
Elimination method, linear inequality, no solution, solution of a system, solution of an inequality, substitution method, system of linear equations, system of linear inequalities
ESSENTIAL QUESTIONS
Curtis Junior High School
3
TEACHER Fouts,Fuller,Ragan,Wiese 2010-2011 Curriculum Map
ESSENTIAL QUESTIONS CONTENT
SKILLS
ASSESSMENTS VOCABULARY
COURSE Algebra I/II
MARCH What are the division properties of exponents? How do you graph exponential functions? How are numbers written in scientific and standard notations? How do you add, subtract and multiply polynomials? Simplify and use simple exponents Simplify and use complex exponents Use Scientific Notation Combine polynomials Multiply polynomials Prenitce Hall 2004ed. Chapter 8 Lessons 8-1, 8-2, 8-3, 8-4, 8-5 and Chapter 9 Lessons 9-1, 9-2, 9-3, 9-4
APRIL How do you combine, factor and multiply polynomials. How does one successfully take the WASL?
Divide powers with the same base and raise a quotient to a power. Write numbers in scientific and standard notation and use scientific notation Add, subtract, and multiply polynomials Describe polynomials by their degree and number of terms. Homework, quizzes, tests, observations, and projects
Factor trinomials/polynomials
Scientific notation, exponential decay, exponential function, exponential growth Factoring, polynomials, binomial, degree of a monomial, degree of a polynomial, factor by grouping, monomial, perfect-square trinomial, polynomial, standard form of a polynomial, trynomial
Curtis Junior High School
Factor a monomial from a polynomials Multiply polynomial Prentice Hall 2004ed. 9-5, 9-6, 9-7, 9-8
Homework, quizzes, tests, observations, and projects Midterm exams. Factoring, polynomials, binomial, degree of a monomial, degree of a polynomial, factor by grouping, monomial, perfect-square trinomial, polynomial, standard form of a polynomial, trinomial
4
TEACHER Fouts,Fuller,Ragan,Wiese 2010-2011 Curriculum Map
ESSENTIAL QUESTIONS
COURSE Algebra I/II
MAY How do you solve and graph Quadratics? What are square roots? How do we apply the quadratic formula?
CONTENT
Solve quadratics by graphing and algebraically Prentice Hall 2004ed. Chapter 10 Lessons 10-1, 10-2, 10-3, 104, 10-5, 10-6, 10-7, 10-8
SKILLS
Solve quadratic equations by various techniques such as factoring, finding square roots, completing the square, and applying the quadratic formula. Graph quadratic functions in various forms
ASSESSMENTS
Homework, quizzes, tests, observations, and projects
VOCABULARY
Quadratic function, standard from of quadratic function, parabola, axis of symmetry, vertex, minimum, maximum, square root, radicand, perfect square, quadratic equation, zero-product property, quadratic formula
Curtis Junior High School
JUNE How do you simplify expressions containing radicals? How do you use the Pythagorean Theorem? How do you solve radical equations? Simplify and solve radical expressions Use the Pythagorean Theorem Prentice Hall 2004ed. Chapter 11 Lessons 11-1, 11-2, 11-3, 11-4, 11-5 Simplify expressions containing radicals, perform operations with radical expressions, and solve radical equations. Solve problems using the Pythagorean Theorem and identify right triangles. Homework, quizzes, tests, observations, and projects, semester final Radical expression, rationalized, hypotenuse, leg, Pythagorean theorem, conditional, hypothesis, conclusion, converse, distance, formula, midpoint, midpoint formula
5
