Practical+Algebra

"The learner will . . ." ||= **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** ||
 * Teachers **** : ** Theresa Coyle
 * Textbook: ** Algebra, AGS Publishing, 2004
 * ~ (1) ||~ (2) ||~ (3) ||~ (4) ||~ (5) ||~ (6) ||~ (7) ||~ (8) ||~ (9) ||
 * **Obj #** || **Unit** || **Objective:**
 * 1 || Chapter 1 || (1) recognize numerical and algebraic expressions, (2) understand the use of variables in algebraic expressions, (3) understand positive and negative integers, opposites, and absolute value, (4) use rules related to adding, subtracting, multiplying, and dividing integers, (5) simplify expressions with one or more variables, (6) read and write exponents, (7) use formulas with variables. ||= MA 7.1.2.c Use drawings, words, and symbols to explain the addition and subtraction of integers

> MA 7.3.1.b Use a variable to describe a situation with an inequality (e.g., one-step, one variable) || 19 || equation, constant, literal equation, hypotenuse, Pythagorean theorem, right triangle, disjunction, equality, graphing, inequality, truth table || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 3 Test, MAPS testing, NeSA testing ||
 * MA 7.1.3.a Compute accurately with integers
 * MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)
 * MA 7.3.1.a Describe and create algebraic expressions from words, tables, and graphs
 * MA 7.3.1.c Recognize and generate equivalent forms of simple algebraic expressions || 19 || algebra, arithmetic, open statement, statement, algebraic expression, coefficient, numerical expression, operation, variable, absolute value, opposites, integers, positive integers, negative integers, real numbers, addend, addition, sum, difference, subtraction, factors, product, multiplication, dividend, divisor, division, quotient, like terms, terms, simplify, unlike terms, base, power, exponent, equilateral triangle, perimeter || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 1 Test, MAPS testing, NeSA testing ||
 * 2 || Chapter 2 || (1) recognize the commutative property of addition and multiplication, (2) understand the associative property of addition and multiplication, (3) understand the distributive property and factoring, (4) recognize the properties of the numbers 0 and 1, (5) identify and use powers and roots of numbers, (6) discover and use the order of operations in making calculations. || * MA 7.3.3.b Use symbolic representation of the distributive property (e.g., 2(x + 3) = 2x + 6)
 * MA 7.3.3.c Given the value of the variable(s), evaluate algebraic expressions with respect to order of operations || 19 || commutative property of addition, expanded notation, commutative property of multiplication, geometry, associative property of addition, associative property of multiplication, distributive property, common factor, factoring, addition property of zero, additive inverses, multiplication property of zero, multiplication property of one, multiplicative inverses, reciprocals, root || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 2 Test, MAPS testing, NeSA testing ||
 * 3 || Chapter 3 || (1) write and solve equations, (2) use formulas for perimeter and area to solve problems, (3) use the Pythagorean theorem to solve problems, (4) graph inequalities on the number line, (5) solve inequalities. || * MA 7.3.2.a Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)
 * MA 7.3.2.b Represent a variety of quantitative relationships using algebraic expressions and one-step equations
 * MA 6.2.5.d Determine the perimeter of polygons
 * MA 6.2.5.e Determine the area of parallelograms and triangles
 * 4 || Chapter 4 || (1) write an algebraic equation for a number sentence, (2) identify formulas to use in specific types of problems, (3) write problems using algebraic formulas, (4) solve problems by applying algebraic equations. || MA 7.3.1.a Describe and create algebraic expressions from words, tables, and graphs

MA 8.3.3.b Evaluate numerical expressions containing whole number exponents (e.g., if x = 4, then (x + 3)2 + 5x = ?) || 19 || negative exponent, degree of a polynomial, monomial, polynomial, standard form || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 5 Test, MAPS testing, NeSA testing || > MA 7.4.3.a Find the probability of independent compound events (e.g., tree diagram, organized list) || 15 || bar graph, data, frequency, frequency table, histogram, stem-and-leaf plot, mean, measures of central tendency, median, mode, range, box-and-whiskers plot, lower quartile, upper quartile, probability, statistics, theoretical probability, complement of a probability event, sample space, dependent event, independent event, factorial notation, fundamental principle of counting, permutation, || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 7 Test, MAPS testing, NeSA testing || > MA 12.3.1.g Graph and interpret linear inequalities || 18 || ordered pair, origin, quadrant, x-axis, y-axis, x-intercept, y-intercept, acute, obtuse, slope, dependent variable, function, independent variable, vertical line test || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 9 Test, MAPS testing, NeSA testing ||
 * MA 7.3.1.c Recognize and generate equivalent forms of simple algebraic expressions
 * MA 7.3.2.a Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)
 * MA 7.3.2.b Represent a variety of quantitative relationships using algebraic expressions and one-step equations || 15 || consecutive, percent, circle graph, cross products, proportion, ratio || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 4 Test, MAPS testing, NeSA testing ||
 * 5 || Chapter 5 || (1) recognize and use exponents in computations, (2) identify the benefit of using scientific notation in some calculations, (3) define, name, and solve polynomials. || MA 7.1.1.c Represent large numbers using scientific notation
 * 6 || Chapter 6 || (1) completely factor integers, (2) find the greatest common factor of polynomials, (3) factor trinomials, (4) factor algebraic expressions, (5) identify zero as a factor, (6) use factoring as a means of solving equations. || * MA 12.3.3.e Factor polynomials || 15 || composite number, factoring completely, greatest common factor (GCF), prime number, perfect squares, perfect square trinomial, quadratic equation, solution, || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 6 Test, MAPS testing, NeSA testing ||
 * 7 || Chapter 7 || (1) organize data into graphs, (2) read and interpret graphic representations, (3) determine range and measures of central tendency, (4) compute probabilities and complementary events involving statistics. || * MA 7.4.1.a Analyze data sets and interpret their graphical representations
 * MA 7.4.1.b Find and interpret mean, median, mode, and range for sets of data
 * 8 || Chapter 8 || (1) write fractions in their simplest form, (2) find the greatest common factor of two or more fractions, (3) multiply and divide algebraic fractions, (4) simplify complex fractions, (5) find the least common multiple and prime factors of algebraic fractions, (6) add and subtract algebraic fractions, (7) solve problems involving proportions and fractions, (8) solve equations with algebraic fractions. || * MA 7.1.1.a Show equivalence among fractions, decimals, and percents
 * MA 7.1.1.b Compare and order rational numbers (e.g., fractions, decimals, percents)
 * MA 7.1.1 e Find least common multiple and greatest common divisor given two numbers
 * MA 5.1.3.a Add and subtract positive rational numbers (e.g., proper and improper fractions, mixed numbers, fractions with common and uncommon denominators, decimals through the thousandths place)
 * MA 5.1.3.b Select, apply and explain the appropriate method of computation when problem solving (e.g., models, mental computation, paper-pencil, technology)
 * MA 5.1.3.c Multiply decimals || 16 || rational number, simplest form, algebraic fraction, rational expression, complex fraction, least common multiple (LCM), undefined || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 8 Test, MAPS testing, NeSA testing ||
 * 9 || Chapter 9 || (1) identify the parts of a graph, (2) locate and plot points in the coordinate system, (3) solve equations for ordered pairs and graph a line, (4) find the x-intercept and y-intercept of a graph, (5) determine the slope of a line, (6) write and solve an equation of a straight line, (7) identify and evaluate functions, (8) determine the range of a function with a given domain, (9) graph inequalities, (10) interpret and create graphs without numbers. || * MA 12.3.1.b Identify domain and range of functions represented in either symbolic or graphical form (e.g., linear, non-linear)
 * MA 12.3.1.c Identify the slope and intercepts of a linear relationship from an equation or graph
 * MA 12.3.1.d Identify characteristics of linear and non-linear functions
 * MA 12.3.1.e Graph linear and non-linear functions
 * MA 12.3.1.f Compare and analyze the rate of change by using ordered pairs, tables, graphs, and equations
 * 10 || Chapter 10 || (1) write and solve equations for parallel lines, (2) determine whether a system of equations has a common solution, (3) use substitution or elimination to find the common solution for a system of equations, (4) graph equations to find the common solution, (5) evaluate conjunctions, (6) solve problems using systems of linear equations, (7) add, subtract, and multiply matrices. || MA 12.3.3.p Analyze and solve systems of two linear equations in two variables algebraically and graphically || 18 || parallel lines, common solution, intersecting lines, system of equations, conjunction, || Textbook, worksheets || Assignments in textbook and worksheets || Chapter 10 Test, MAPS testing, NeSA testing ||