Integrated Algebra High School

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1 Niagara Falls City School District 607 Walnut Avenue, Niagara Falls, NY Integrated Algebra High School Day NYS Performance Indicators Objectives 1 Pre-Test 2 MST3.IA.AL7.01 MST3.IA.AL7.04 Chapter 1 Translate a quantitative verbal phrase into an algebraic expression or equation Text Resources 2 MST3.IA.AL7.05 Write algebraic equations that represent a situation , 1-4, NY4 Resources (Suggested Activities) 1-1, NY4 AMSCO 4-1, 4-5 AMSCO 2-3, 4-4, MST3.IA.AL7.02 Write a verbal expression that matches a given mathematical 1-1 (p. 5 ex. 3b, p. expression 8 #45-47) 2 MST3.IA.NO6.06 Evaluate expressions involving absolute value(s) and AMSCO 2-3, 4-4, 1-2, 1-3, NY4 exponential expression(s) 2-2, Chapter 1 3 MST3.IA.SP10.07 Create a scatter plot of bivariate data 1-5, NY4 AMSCO MST3.IA.SP10. Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or one) 1-5, NY4 3 MST.IA.SP MST3.IA.SP10.04 Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot Compare and contrast the appropriateness of different measures of central tendency for a given data set AMSCO 15-6, 1-5, 1-6, pp , NY4 AMSCO 15-4, 15-5

2 4 MST3.IA.NO MST3.IA.NO MST3.IA.AL7.01 Chapter 2 Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse) Note: Students do not need to identify groups and fields, but students should be engaged in the ideas. Evaluate expressions involving absolute value(s) and exponential expression(s) Translate a quantitative verbal phrase into an algebraic expression 2-1, 2-3, 2-4, 2-5, NY5 AMSCO 5-3, , 2-3, NY5 AMSCO 5-3, , NY5 4 MST3.IA.AL7.13 Add, subtract and multiply monomials and polynomials 2-4, NY5 5 MST3.IA.SP10.19 Determine the number of elements in a sample space and 2-6, NY5, p. 92 the number of favorable events Activity Lab 5 MST3.IA.SP10.20 Calculate the probability of an event and its complement 2-6, NY5 5 MST3.IA.SP10.21 Determine empirical probabilities based on specific sample data 2-6, 2-7, NY5 Determine, based on calculated probability of a set of events, if: AMSCO 5-5, 5-6, MST3.IA.SP10.22 some or all are equally likely to occur one is more likely to occur than another whether or not an event is certain to happen or not to happen Calculate the probability of: 2-6, NY5 5 MST3.IA.SP MST3.IA.AL7.06 a series of independent events a series of dependent events two mutually exclusive events two events that are not mutually exclusive solving a linear equation in one variable 2-7, NY5 3-1, 3-2, 3-3, 3-5, NY6, AMSCO 9-8, 9-9, 9-10 AMSCO 6-4, 9-1, 9-2

3 6 MST3.IA.AL7.22 Solve all types of linear equations in one variable 6 MST3.IA.AL MST3.IA.AL MST3.IA.NO MST3.IA.ME9.03 Solve equations involving fractional expressions Note: Expressions which result in linear equations in one variable. Solve algebraic proportions in one variable which result in linear Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation Calculate the relative error in measuring square and cubic units, when there is an error in the linear measure 3-1, 3-2, 3-4, 3-5, NY6 3-1, 3-2, 3-4, 3-5, NY6 3-4, 3-5, NY6 3-7, NY6 3-7 AMSCO 6-4, 9-1, 9-2 AMSCO 6-4, 9-1, MST3.IA.NO6.02 Simplify radical terms (no variable in the radicand) 3-8 AMSCO 20-1 AMSCO 21-4, Determine the measure of a third side of a right triangle using 7 MST3.IA.AL , NY6 AMSCO B 7-5, 7- the Pythagorean theorem, given the lengths of any two sides 7 7 Review/Assess 8 MST3.IA.AL7.04 Chapter 4 Translate verbal sentences into mathematical inequalities 8 MST3.IA.AL7.21 Determine whether a given value is a solution to a given linear equality in one variable 8 MST3.IA.AL7.05 Write algebraic inequalities that represent a situation 8 MST3.IA.AL7.06 solving an inequality in one variable 8 MST3.IA.AL7.24 Solve linear inequalities in one variable 4-1, 4-2, 4-3, 4-4, 4-5, NY7 4-1, 4-2, NY7 4-2, 4-3, 4-4, 4-5, NY7 4-2, 4-3, 4-4, 4-5, NY7 4-2, 4-3, 4-4, 4-5, NY7 8 MST3.IA.GE8.04 Identify and graph absolute value functions 4-6, NY7 9 MST3.IAAL MST3.IA.AL7.34 Determine the slope of a line, given the coordinates of two points on the line Write the equation of a line, given its slope and the coordinates of a point on the line, or given two points 6-1, NY9 6-2, 6-5, 6-6, NY9 AMSCO B 10-3, 10-4 AMSCO 16-2 to 16-4 AMSCO 16-6 to 16-8

4 9 MST3.IA.AL7.37 Determine the slope of a line, given its equation in any form 6-2, MST3.IA.GE8.04 Identify and graph linear and absolute value 6-2, 6-3, 6-4, 6-5, 6-8, NY9 AMSCO 16-6 to 16-8, AMSCO B 16-5 AMSCO 16-9, 16-5, AMSCO B -5 9 MST3.IA.AL7.36 Write the equation of a line parallel to the x- or y-axis 6-4 AMSCO MST3.IA.AL7.38 Determine if two lines are parallel, given their equations in any form 6-6 AMSCO MST3.IA.AL7.39 Determine whether a given point is on a line, given the equation of the line 6-5 p. 340 #58 10 MST3.IA.AL7.07 Chapter 7 7-1, 7-2, 7-3, 7-4, AMSCO 17-1 to NY solving systems of linear equations in two variables 10 MST3.IA.GE MST3.IA.GE8.09 Graph and solve systems of linear equations and inequalities with rational coefficients in two variables (See A.A.10) Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratic equations that lead to solutions whose coordinates are integers. 7-1, 7-2, 7-3, 7-4, 7-6, NY10 7-1, NY10 AMSCO 17-1 to 17-5 AMSCO 17-1 to 17-4, AMSCO B MST3.IA.AL7.10 Solve systems of two linear equations in two variables 7-2, 7-3, 7-4, AMSCO 17-1, algebraically (See A.G.7) NY MST3.IA.AL7.06 solving a linear inequality in one variable 7-5 AMSCO MST3.IA.AL7.21 Determine whether a given value is a solution to a given linear inequality in one variable 7-5 AMSCO MST3.IA.GE8.06 Graph linear inequalities 7-5, 7-6, NY10 AMSCO MST3.IA.AL7.40 Determine whether a given point is in the solution set of a system of linear inequalities 7-6 AMSCO Review/Assess 13 MST3.IA.NO6.06 Chapter 8 AMSCO 8-7, Evaluate expressions involving exponential expression(s) 5 13 MST3.IA.NO6.04 Understand and use scientific notation to compute products 8-2, 8-3, 8-4, 8-5, AMSCO 8-3, 8-8, and quotients of numbers NY11 8-9

5 13 MST3.IA.AL7.13 Chapter 9 9-1, 9-2, 9-3, 9-4, AMSCO 8-1 to 8- Add, subtract and multiply monomials and polynomials 8-3, 8-4, MST3.IA.AL7.20 Factor algebraic expressions completely, including trinomials 9-2, 9-5, 9-6, 9-7, with a lead coefficient of one (after factoring a GCF) 9-8, NY AMSCO MST3.IA.AL7.19 Identify and factor the difference o two perfect squares 9-7 AMSCO /16 MST3.IA.GE8.04 Chapter 10 Identify and graph quadratic (parabolic) functions 10-1, 10-2 AMSCO /16 MST3.IA.AL7.08 Analyze and solve verbal problems that involve quadratic 10-2, 10-3, 10-4, AMSCO 21-2 to equations 10-5, 10-6, NY /16 MST3.IA.AL7.41 Determine the vertex and axis of symmetry of a parabola, MST3.IA.GE8.10 given its equation or graph 10-1, /16 MST3.IA.AL7.28 Understand the difference and connection between roots of a 10-3, 10-4, p. 571 AMSCO 21-2 to quadratic equation and factors of a quadratic expression Activity Lab /16 MST3.IA.GE8.08 Find the roots of a parabolic function graphically AMSCO 21-2 to 10-3 Note: Only quadratic equations with integral solutions /16 MST3.IA.AL7.27 Understand the apply the multiplication property of zero to AMSCO 21-2 to solve quadratic equations with integral coefficients and 10-4, NY integral roots 15/16 MST3.IA.AL /16 MST3.IA.GE8.09 Solve a system of one linear and one quadratic equation into two variables where only factoring is required Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratics equations that lead to solutions whose coordinates are integers. 17 Review/Assess 18 MST3.IA.NO6.02 Chapter 11 Simplify radical terms (no variable in the radicand) 18 MST3.IA.NO6.03 Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form 18 MST3.IA.AL7.42 Find the sine, cosine and tangent rations of an angle of a right triangle, given the lengths of the sides 18 MST3.IA.AL7.44 Find the measure of a side of a right triangle, given an acute angle and the length of another side 10-4, p. 577 extension 10-4, p. 578 extension 11-1, NY14 AMSCO , 11-2, NY , NY14, p. 654 extension 11-5, 11-6, NY14 AMSCO 20-4, 20-5 AMSCO Ch. 22 (all) AMSCO Ch. 22 (all) (22-3)

6 18 MST3.IA.AL MST3.IA.AL MST3.IA.AL MST3.IA.AL MST3.IA.AL MST3.IA>AL MST3.IA.NO MST3.IA.NO MST3.IA.NO6.08 Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle Chapter Simplify fractions with polynomials in the numerator and denominator by factoring both and renaming them to lowest terms Divide a polynomial by a monomial or binomial, where the quotient has no remainder Add or subtract fractional expressions with monomial or like binomial denominators Find values of a variable for which an algebraic fraction in undefined Solve algebraic proportions in one variable which result in linear or quadratic equations Evaluate expressions involving factorial(s), [absolute value(s) and exponential] expression(s) Determine the number of possible events, using counting techniques or the Fundamental Principle of Counting Determine the number of possible arrangements (permutations) of a list of items 11-5 (p. 654 extension) -2, NY15-4, NY15-5, NY15-6, NY15-6, NY15-7, -8-7, NY15-7, -8, NY15 AMSCO B 9-1, AMSCO 19-2 AMSCO B 8-9, AMSCO 19-4 AMSCO B 9-4, AMSCO 19-5, 19-6 AMSCO B 9-7, AMSCO 19-9 AMSCO B 9-7, AMSCO 19-9 AMSCO 14-4, 14-5 AMSCO 14-7, 14-8

Number Sense and Operations Strand

Number Sense and Operations Strand Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems. Number Theory NY A.N.1 Identify and apply the