Knott County Schools 2012-2013 Mathematics Curriculum Algebra I Days Topic KCAS 2 Order of Operations Prerequisites N.RN.3 Student Friendly Learning Target(s) Unit 1: Prerequisites I can set up and solve problems following the correct order of operations (including proportions, percent, and absolute value) with rational numbers (integers, fractions, and decimals) Activities Assessments TB/WB 1.3 Pre-Test Benchmark 1 with Constructed Response Hippocampus 1.1 Number Line Activity (Number Line Shuffle) 1 GCF/LCM Prerequisites I can find the greatest common factor and least common multiple of a set of whole numbers. TI-84 Practice 2 Additive and Multiplicative Inverses Prerequisites I can use rational numbers to demonstrate knowledge of additive and multiplicative inverses. Power point – Esquared opposites Fist of Five Red and Blue Tiles (Building Opposites #1) Integer Card Games (Salute, Hit Me) 1 Ratios Prerequisites I can simplify ratios. BR pg. 771 TB 3.4 Knott County Schools 2012-2013 Mathematics Curriculum Algebra I 2 2 Scientific Notation Rational Numbers Prerequisites I can use scientific notation. Lesson 2 Coach Prerequisites I can add, subtract, multiply and divide rational numbers. Worksheet Allowance Boards Calculator BR BR Active Math PP Add/Subtract with manipulatives Using patterns to develop multiplication rules Integer card games (Integer Rummy, Hit Me, Multiplication and Division Capture, Choose Your Op) Unit 1 Exam - 20 MC, 1 CR 2 1 Evaluate and Simplify Expressions Expressions Real-World N.RN.3 N.RN.3 Unit 2 : Number Sense I can evaluate and simplify expressions requiring addition, subtraction, multiplication and division with and without grouping symbols. I can translate real world problems into expression Worksheet Naming the pieces BR Tiles Red/Blue Tiles TB 1.1 TB 1.1 Exit Slip Knott County Schools 2012-2013 Mathematics Curriculum Algebra I using variables to represent values. I can apply algebraic properties (commutative, associative, distributive, identity, inverse, substitution) to simplify algebraic expressions. 1 Simplify Algebraic Expressions Using Properties N.RN.3 2 Add/Subtract Polynomials A.SSE.1a I can add and subtract polynomials. Red/Blue Tiles Red/Blue Tiles F.BF.1b 2 Factoring Monomials A.SSE.2 I can factor a monomial from a polynomial. 2 Multiplying Monomials, Binomials, Polynomials F.BF.1b I can multiply monomials, binomials, and polynomials. 1 Mean, Median, Mode, Range 6 Data Interpretation A.APR.1 Unit 3: Data Relations, Probability, and Statistics Pre-requisite I can identify the effect on skills mean, median, mode and range when a set of data is changed. S.ID.1 S.ID.2 S.ID.3 I can interpret data from line, bar, and circle graphs, histograms, scatterplots, box-and-whisker plots, Properties Cut/Paste WS Bell Ringer on algebraic properties – 5 questions Exit Slip on Add, sub, and factor polynomials Box Method Multiplication Mat TB 1.6 Activity Lab: Interpreting Graphs TB 38-39 Unit 2 Exam – 15 MC, 1 CR Bell Ringer on Mean, Median, Mode and Range – 5 questions Knott County Schools 2012-2013 Mathematics Curriculum Algebra I S.ID.5 S.ID.6a 2 Line of Best Fit S.ID.6a stem-and-leaf plots, and frequency tables to draw inferences and make predictions. I can identify the most efficient way to display data. Activity Lab: Box and Whisker Plots TB 53-54 I can identify an approximate line of best fit to model and make predictions TI 84 Line of Best Fit Activity 2 Arithmetic Sequences F.FB.2 I can identify arithmetic sequences and patterns in a set of data. 2 Exponential Growth A.CED.1 I can identify patterns of growth (exponential) in a set of data. F.IF.7e 1 Probability of a Simple Event I can find the probability of a simple event. 1 Independent and Dependent Events I can distinguish between independent and dependent events. Benchmark I Assessment Unit 4: Expressions, Equations, and Inequalities TI 84 Scatterplot Quiz on Data – 10 MC, 1 CR Ball Bounce Activity Turnover Cards Coach Lesson 5 TB 5.7 Group Activity Individual Practice Activity Lab: Fitting Exponential Curves to Data TB 474 TB 12.7 TB 2.7 Unit 3 Exam – 20 MC, 2 CR Knott County Schools 2012-2013 Mathematics Curriculum Algebra I 5 Single and Multi-Step Equations A.CED.1 A.REI.3 I can solve single-step and multi-step equations in one variable. Inequalities A.CED.1 I can solve single, multi, and compound inequalities. 2 Absolute Value Equations A.CED.1 I can solve equations that contain absolute value. 2 Specified Variable A.CED.1 I can solve formulas for a specified variable. 4 Slope-Intercept Form F.IF.6 I can write and graph linear equations in slope intercept form when given two points, a point and the slope, or the graph. S.ID.7 2 Direct and Inverse Variation The Big X Game Pre-Test Benchmark 2 with Constructed Response Number Trick Equation Match A.REI.1 3 Red/Blue Tiles I can identify, formulate, and obtain solutions to problems involving direct Balancing Equations Organizer Turnover Cards TB CH 4 Kutasoftware.com Activity Lab: Exploring Absolute Value Functions TB 358 Quiz on solving equations – 10 questions Journal entry on solving equations, inequalities and absolute value TB 6.8 Transforming Formulas TB 140 CH 6 Active Math Summer 2012 Activities Height vs. Armspan Quiz on Slopeintercept form – 10 questions Knott County Schools 2012-2013 Mathematics Curriculum Algebra I and inverse variation. 5 Systems of Equations A.REI.5 A.REI.6 A.REI.10 I can solve systems of two equations using various methods, including elimination, substitution, and graphing A.REI.11 Activity Lab: Inverse Variation TB 291 5.5, 5.6 Activity Labs: Solving Systems Using Tables and Graphs Using Algebra Tiles TB 380-381 Graphic Organizers for Elimination, Substitution, and Graphing 3 2 Graphing Linear Inequalities Domain and Range of Relations and Functions Benchmark 2 Assessment Unit 5: Graphs, Relations, and Functions A.REI.12 I can graph linear inequalities in one variable on the real number line. I can graph linear inequalities with two variables on the coordinate plane. F.IF.2 F.IF.4 I can give the domain and range of relations and functions. TB 4.1 TB 7.5 Active Math Summer 2012 Activities CH 5 Lesson 27 Coach Individual practice Unit 4 Exam – 25 MC, 2 CR Pre-Test Benchmark 3 with Constructed Response Knott County Schools 2012-2013 Mathematics Curriculum Algebra I 1 Evaluating Functions F.BF.1a I can evaluate functions at given values. Lesson 26 Coach 1 Relations and Functions F.IF.2 I can identify graphs of relations and functions and analyze them to determine whether a relation is a function (vertical line test). TB 5.6 Lesson 27 Coach 1 Points and Lines Pre-requisite skills I can use the terminology associated with the Cartesian plane in describing points and lines. Graphing on the Coordinate Plane TB 24 Quiz - Vocabulary 3 Slope F.IF.6 I can recognize the concept of slope as a rate of change and determine the slope when given the equation of a line in standard form, slope intercept form, the graph of a line, two points, or a verbal description. I can graph a linear equation using a table of values, x- and y-intercepts, slope-intercept form, and technology. TI 84 Graphing Activities Individual activity S.ID.7 Kuta Software Cockroach Algebra Online Exit slip on evaluating functions – 2 questions Knott County Schools 2012-2013 Mathematics Curriculum Algebra I 2 5 Representations of Functions and Relations Factoring F.IF.2 I can translate between representations of relations and functions: graphs, equations, ordered pairs, verbal descriptions, and tables. Benchmark 3 Assessment Unit 6: Quadratic Equations and inequalities A.SSE.1a I can factor perfect square trinomials and the A.SSE.3a difference of two squares. I can factor trinomials in the form ax 2 + bx + c. I can factor perfect square trinomials and the difference of two squares NAGS Unit 5 Exam – 20 MC, 2 CR Factoring Card Game Boxes Organizer Multiplication Mats Pre-Test Benchmark 4 with Constructed Response Bell Ringer on factoring monomials – 5 questions Quiz on factoring – 10 questions 3 Quadratics F.IF.7a F.IF.8a I can solve quadratic equations using multiple methods, including graphing, factoring, and the square root principle. I can identify graphs of quadratic functions. I can relate factors, solutions (roots), zeros of TI 84 Calculator Activities Kuta Software CH 10 Individual calculator activities Knott County Schools 2012-2013 Mathematics Curriculum Algebra I related functions, and xintercepts in equations that arise from quadratic functions. 4 Properties of Exponents 3 Rational Expressions Unit 7: Rational and Radical Expressions, Equations, and Functions A.SSE.3c TI 84 Calculator I can use properties of Exponents exponents to evaluate and Program simplify expressions. N.RN.1 N.RN.2 4 Radical Expressions Unit 6 Exam – 20 MC, 2 CR N.RN.1 N.RN.2 I can evaluate and simplify rational expressions. I can add, subtract, multiply and divide rational expressions. I can find rational number square roots and approximate irrational square roots. I can simplify an algebraic quotient by rationalizing an irrational denominator. I can evaluate and simplify radical expressions. I can multiply radical expressions. TB 8.1, 8.3, 8.5 TB 12.2, 12.5, 12.3, 12.4, 12.6 Individual activities Bell Ringer on properties of exponents – 5 questions Exit slip on rational expressions – 5 questions CH 11 Real World Problem Solving TB 617 Journal entry comparing rational and radical expressions Knott County Schools 2012-2013 Mathematics Curriculum Algebra I Unit 7 Exam – 15 MC, 2 CR Benchmark 4 Assessment