Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Functions Strand Standard: AI.L.1: Understand that the steps taken when solving linear equations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. I can: Understand the steps taken to solve a linear equation. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Justify each step in solving a linear equation. Justify the solution method. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Sec. 2.2 – Solving One-Step Equations and Inequalities H.O.T. problems page 88 #72, 73, 76 http://www.teachertube.com/video/237084 This is a video over two step equations. There are two problems in the video. ( 2x + 14 = 10 and Sec. 2.3 – Solving Multi-Step Equations and Inequalities page 95 #51, 52, 54 Sec. 2.4 – Solving Equations with Variables on Each Side page 101 # 37, 42, 43 Sec. 2.6 – Basic Ratios and Proportions within Equations H.O.T. Problems p. 116 #48, 49 w 5 6 7) http://www.teachertube.com/video/296922 This is a video over solving inequalities with a negative coefficient. The video is over 10 minutes long Honors Algebra I – McDougal Littell Textbook Sec. 3.1 – Solve One Step Equations Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document page 139 #57,59 Sec. 3.2 – Solving Two-Step Equations page 145 #37, 38, 42 Sec. 3.3 – Solving Multi-Step Equations page 152 #38,40, 41 Sec. 3.4 – Solving Equations with Variables on Both Sides page 158 #49, 51, 53 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Functions Strand Standard: AI.L.2: Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. I can: Solve real-world problems using linear equations or inequalities in one variable. Interpret the solution. Determine the reasonableness of the solution. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Sec. 2.1 – Writing Equations page 79 #44, 46 https://www.illustrativemathematics.org/illustrations/581 https://www.illustrativemathematics.org/illustrations/1010 Honors Algebra I – McDougal Littell Textbook Sec. 3.2 -Solving Two-Step Equations page 145 #37, 38, 39 Sec. 3.3 - Solving Multi-Step Equations page 152 #38, 39, 40, 41 Sec. 3.4 – Solve Equations with Variables on Both Sides page 158 #49, 51, 53 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Functions Strand Standard: AI.L.3: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. I can: Solve real-world problems using an algebraic proportion that leads to a linear equation. Lesson Plans/Print Activities: Web-based Practice: www.slideshare.net/kmeluskey/proportions-in-the-real-world Standard Algebra I - Glencoe McGraw-Hill Textbook Section 2.6 – Basic Ratios and Proportions within Equations page 114 #7, 8 page 115 #30, 31, 32, 33, 40, 41, 42 page 116 #46, 49 Problem 49 is important because it is a “find the error” problem. Honors Algebra I – McDougal Littell Textbook Section 3.6 – Solving Proportions using Cross Product Problem Solving p. 172 #33, 39, 40 Indianapolis Public Schools This is a slide show with six slides. Two of the slides are real world examples. http://www.teachertube.com/video/21931&title=Solving_a_Proporti on_Problem This is a video where Bob (a student) solves a proportion word problem. Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Functions Strand Standard: AI.L.4: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). I can: Represent linear functions as graphs from equations (with and without technology). Represent linear functions as equations from graphs. Represent equations from tables and other given information. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Section 3.1- Graphing Linear Equations page 159 # 57, 59 Extended Section 3-2 page 167 Exploration page 160 https://learnzillion.com/lessons/287-construct-linear-functionsfrom-tables https://learnzillion.com/lessons/288-construct-linear-functionsfrom-a-graph (Remember to sign-up if you haven’t already---IT’S FREE) http://mymathuniverse.com/programs/cmp3/channels/12/channe l_content_items/133 (This shows the relationship between tables, equations, and graphs) Section 3.3 – Rate of Change and Slope page 177 #49, 52 Section 4.4 – Parallel and Perpendicular Lines page 242 #40, 41, 44, 47 IN Academic Standards Practice page 279 Questions 10 and 11 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Honors Algebra I – McDougal Littell Textbook Section 4.2- Graph Linear Equations Problem Solving page 220 # 35, 37, 38 Section 4.3 Graphing Using Intercepts Problem Solving p. 230 #45, 46, 47 Activity before Lesson 4.4 page 234 Section 4.4 - Find Slope and Rate of Change Problem Solving page 241 #36, 37, 40 Extension p. 243 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Functions Strand Standard: AI.L.5: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. I can: Represent real-world problems that can be modeled with a linear function using equations, graphs and tables. Translate fluently among graphs, tables and equations. Interpret what the slope and y-intercept represents. Lesson Plans/Print Activities: Web-based Practice: http://ims.ode.state.oh.us/ODE/IMS/Lessons/Content/CMA_LP_S0 4_BE_L10_I10_01.pdf Standard Algebra I -Glencoe McGraw-Hill Textbook Section 3.2 – Solving Linear Equations. This section has a variety of problems that are already written in the form of y=mx+b and the students have to plug in numbers to solve. page 165 #44, 46 Algebra Lab page 169 Section 3.3 - Rate of Change and Slope. Page 177 #49, 52 Section 4.1 – Graphing Equations. The word problems are all about writing an equation from a word problem and then graphing the equation. Some of the problems ask what the slope represents or what the y-intercept represents. page 218 #15, 16, page 219 # 37, 50, 51 page 220 #58, 59, 60, 61 Indianapolis Public Schools This is a project created by the Ohio department of education. The project involves creating tables and graphing linear functions. The project seems to match up real well with the standard. http://athena.stanwichschool.org/upperschool/alper/Lists/Acceler ated%20Algebra%20Assignments/Attachments/67/Worksheet%20%20More%20Modeling%20Real%20Life%20Situations%20_1011_.pdf This is a worksheet that has equations from word problems and a graph on the second page. https://braingenie.ck12.org/skills/106694 Web based practice for students that will require students to identify the slope and y-intercept of a Real World Problem. Curriculum and Instruction Mathematics Pacing Resource Document Honors Algebra I – McDougal Littell Textbook Section 4.2 - Graph Linear Equations page 220 #35, 37, 38 Extension on page 222 Section 4.4 - Find Slope and Rate of Change p. 241 #36, 37, 40 Extension page 234 Section 4.5 - Graph Using Slope-Intercept Form page 248 #40, 41, 43 Extension p. 243 and 251 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations, Inequalities, and Function Strand Standard: AI.L.6: Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. I can: Translate among equivalent forms of equations to linear functions. Recognize the different forms of linear equations and what information is represented. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Section 3.3 - Rate of Change and Slope page 177 #49, 52 Section 4.2 - Writing Equations in Slope-Intercept Form page 228 #44, 45, 47 Section 4.3 - Writing Equations in Pointe-slope Form page 235 #48, 49 http://www.teachertube.com/video/319068 http://www.sophia.org/tutorials/point-slope-slope-interceptstandard-form (Video is @ 10 minutes, but it has 24 practice problems on video beneath it) http://www.virtualnerd.com/algebra-2/linear-equationsfunctions/graphing-equations/define-equations/standard-to-slopeintercept-and-point-slope-form Honors Algebra I – McDougal Littell Textbook Section 4.4 - Find Slope and Rate of Change page 241 #36, 37 Extension p. 234 Section 4.5 - Graph Using Slope-Intercept Form p. 248 #40, 41, 43 Extension p. 243 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Linear Equations , Inequalities, and Functions Strand Standard Indicator: AI.L.11: Solve equations and formulas for a specified variable, including equations and formulas for a specified variable, including equations with coefficients represented by variables. I can: Solve equations and formulas for a specified variable. Lesson Plans/Print Activities: Standard Algebra I - Glencoe McGraw-Hill Textbook Section 2.8 -Solve for a Specified Variable page 129, #16-17, 28 Chapter 2 Study Guide and Review page 143 , #’s 71-77 (These pages only support solving equations and formulas for a specified variables in the standard) Honors Algebra I – McDougal Littell Textbook Sec. 3.8 - Solve an Equation or Formulas for a given Variable. page 188 # 33, 34 Web-Based Practice: This provides online practice problems. After completing several problems, students can check their answers. http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsR elationsLiteralEquations.xml ixl: This provides online practice with immediate feedback: http://www.ixl.com/math/algebra-1/rate-of-travel-word-problems Khan Academy: https://www.khanacademy.org/math/algebra/solving-linear-equationsand-inequalities/solving_for_variable/v/rearrange-formulas-to-isolatespecific-variables These provide guidance and explanations for solving literal equations: http://alex.state.al.us/lesson_view.php?id=23922 http://www.purplemath.com/modules/solvelit.htm http://www.classzone.com/eservices/home/pdf/student/LA201DAD.pdf http://www.chilimath.com/algebra/intermediate/literaleq/literalequation.html This provides practice problems with an answer key: https://www.mcckc.edu/common/services/BR_Tutoring/files/math/equa t_inequ/Practice_Solving_Literal_Equations.pdf Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Real Numbers and Expressions Strand Standard: AI.RNE.1: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. I can: Understand the relationships of numbers and sets of numbers within the real number system. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Section 0-2 - Real Numbers Section 0-4 - Adding and Subtracting Rational Numbers Section 0-5 - Multiplying and Dividing Rational Numbers http://www.jamesbrennan.org/algebra/numbers/real_number_sys tem.htm Khan Academy http://www.khanacademy.org/math/pre-algebra/fractions-prealg/number-sets-pre-alg/v/number-sets (5 minute video) Honors Algebra I – McDougal Littell Textbook Section 2.4 – Algebraic Properties page 92 #53, 54, 55 Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Algebra I – Real Numbers and Expressions Strand Standard: AI.RNE.2: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. I can: Explain why the sum or product of two rational numbers is rational. Explain why the sum of a rational and irrational number is irrational. Explain why the product of a nonzero number and an irrational number is irrational. Lesson Plans/Print Activities: Web-based Practice: Standard Algebra I - Glencoe McGraw-Hill Textbook Section 0-2 - Real Numbers Section 0-4 - Adding and Subtracting Rational Numbers Section 0-5 - Multiplying and Dividing Rational Numbers Honors Algebra I – McDougal Littell Textbook Section 2.4 – Algebraic Properties page 92 #53, 54, 55 Indianapolis Public Schools www.virtualnerd.com/common-core/hsn-number-quantity/HSN-RN-real... This link explains what a rational number is and what an irrational number is. https://www.illustrativemathematics.org/illustrations/690 This link has a good commentary about what the result is when you ASMD rational and rational, or rational and irrational, or irrational and irrational. Curriculum and Instruction
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