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Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Understand the steps taken to solve a linear equation. x Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. x Justify each step in solving a linear equation. x Justify the solution method.
Lesson Plans/Print Activities: Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Sec. 2.2 – Solving One-Step Equations and Inequalities H.O.T. problems page 88 #72, 73, 76
¾ Sec. 2.3 – Solving Multi-Step Equations and Inequalities page 95 #51, 52, 54
¾ Sec. 2.4 – Solving Equations with Variables on Each Side page 101 # 37, 42, 43
¾ Sec. 2.6 – Basic Ratios and Proportions within Equations H.O.T. Problems p. 116 #48, 49
Honors Algebra I – McDougal Littell Textbook
¾ Sec. 3.1 – Solve One Step Equations
Web-based Practice:
x 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 765
� �w
)
x http://www.teachertube.com/video/296922 This is a video over solving inequalities with a negative coefficient. The video is over 10 minutes long
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
page 139 #57,59
¾ Sec. 3.2 – Solving Two-Step Equations page 145 #37, 38, 42
¾ Sec. 3.3 – Solving Multi-Step Equations page 152 #38,40, 41
¾ Sec. 3.4 – Solving Equations with Variables on Both Sides page 158 #49, 51, 53
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Solve real-world problems using linear equations or inequalities in one variable.
x Interpret the solution.
x Determine the reasonableness of the solution.
Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Sec. 2.1 – Writing Equations page 79 #44, 46
Honors Algebra I – McDougal Littell Textbook
¾ Sec. 3.2 -Solving Two-Step Equations page 145 #37, 38, 39
¾ Sec. 3.3 - Solving Multi-Step Equations page 152 #38, 39, 40, 41
¾ Sec. 3.4 – Solve Equations with Variables on Both Sides
page 158 #49, 51, 53
Web-based Practice:
https://www.illustrativemathematics.org/illustrations/581
https://www.illustrativemathematics.org/illustrations/1010
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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: x Solve real-world problems using an algebraic proportion that leads to a linear equation.
Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ 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
¾ Section 3.6 – Solving Proportions using Cross Product Problem Solving p. 172 #33, 39, 40
Web-based Practice: x www.slideshare.net/kmeluskey/proportions-in-the-real-world
This is a slide show with six slides. Two of the slides are real world examples.
x http://www.teachertube.com/video/21931&title=Solving_a_Proportion_Problem
This is a video where Bob (a student) solves a proportion word
problem.
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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: x Represent linear functions as graphs from equations (with and without technology).
x Represent linear functions as equations from graphs.
x Represent equations from tables and other given information. Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Section 3.1- Graphing Linear Equations page 159 # 57, 59
¾ Extended Section 3-2 page 167 ¾ Exploration page 160
¾ Section 3.3 – Rate of Change and Slope
page 177 #49, 52
¾ Section 4.4 – Parallel and Perpendicular Lines page 242 #40, 41, 44, 47
¾ IN Academic Standards Practice page 279 Questions 10 and 11
Web-based Practice:
x https://learnzillion.com/lessons/287-construct-linear-functions-from-tables
x https://learnzillion.com/lessons/288-construct-linear-functions-from-a-graph (Remember to sign-up if you haven’t already---IT’S FREE)
x http://mymathuniverse.com/programs/cmp3/channels/12/channel_content_items/133 (This shows the relationship between tables, equations, and graphs)
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Honors Algebra I – McDougal Littell Textbook
¾ Section 4.2- Graph Linear Equations Problem Solving page 220 # 35, 37, 38
¾ Section 4.3 Graphing Using Intercepts Problem Solving p. 230 #45, 46, 47
¾ Activity before Lesson 4.4 page 234
¾ Section 4.4 - Find Slope and Rate of Change
Problem Solving page 241 #36, 37, 40
¾ Extension p. 243
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Represent real-world problems that can be modeled with a linear function using equations, graphs and tables. x Translate fluently among graphs, tables and equations. x Interpret what the slope and y-intercept represents.
Lesson Plans/Print Activities: Standard Algebra I -Glencoe McGraw-Hill Textbook ¾ 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
¾ Algebra Lab page 169 ¾ Section 3.3 - Rate of Change and Slope.
Page 177 #49, 52 ¾ 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
Web-based Practice: x http://ims.ode.state.oh.us/ODE/IMS/Lessons/Content/CMA_LP_S0
4_BE_L10_I10_01.pdf 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.
x http://athena.stanwichschool.org/upperschool/alper/Lists/Acceler
ated%20Algebra%20Assignments/Attachments/67/Worksheet%20-%20More%20Modeling%20Real%20Life%20Situations%20_10-11_.pdf This is a worksheet that has equations from word problems and a graph on the second page.
x 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.
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Honors Algebra I – McDougal Littell Textbook
¾ Section 4.2 - Graph Linear Equations page 220 #35, 37, 38
¾ Extension on page 222 ¾ Section 4.4 - Find Slope and Rate of Change p. 241 #36, 37, 40 ¾ Extension page 234
¾ Section 4.5 - Graph Using Slope-Intercept Form
page 248 #40, 41, 43
¾ Extension p. 243 and 251
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Translate among equivalent forms of equations to linear functions.
x Recognize the different forms of linear equations and what information is represented. Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Section 3.3 - Rate of Change and Slope page 177 #49, 52 ¾ Section 4.2 - Writing Equations in Slope-Intercept Form
page 228 #44, 45, 47
¾ Section 4.3 - Writing Equations in Pointe-slope Form page 235 #48, 49
Honors Algebra I – McDougal Littell Textbook
¾ Section 4.4 - Find Slope and Rate of Change page 241 #36, 37
¾ Extension p. 234 ¾ Section 4.5 - Graph Using Slope-Intercept Form
p. 248 #40, 41, 43 ¾ Extension p. 243
Web-based Practice:
x http://www.teachertube.com/video/319068
x http://www.sophia.org/tutorials/point-slope-slope-intercept-standard-form (Video is @ 10 minutes, but it has 24 practice problems on video beneath it)
x http://www.virtualnerd.com/algebra-2/linear-equations-functions/graphing-equations/define-equations/standard-to-slope-intercept-and-point-slope-form
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Solve equations and formulas for a specified variable.
Lesson Plans/Print Activities: Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Section 2.8 -Solve for a Specified Variable page 129, #16-17, 28
¾ 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
¾ Sec. 3.8 - Solve an Equation or Formulas for a given Variable. page 188 # 33, 34
Web-Based Practice: x This provides online practice problems. After completing several
problems, students can check their answers. http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsLiteralEquations.xml
x ixl: This provides online practice with immediate feedback: http://www.ixl.com/math/algebra-1/rate-of-travel-word-problems
x Khan Academy: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/rearrange-formulas-to-isolate-specific-variables
x 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/literal-equation.html
x This provides practice problems with an answer key: https://www.mcckc.edu/common/services/BR_Tutoring/files/math/equat_inequ/Practice_Solving_Literal_Equations.pdf
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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: x Understand the relationships of numbers and sets of numbers within the real number system.
Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Section 0-2 - Real Numbers ¾ Section 0-4 - Adding and Subtracting Rational Numbers ¾ Section 0-5 - Multiplying and Dividing Rational Numbers
Honors Algebra I – McDougal Littell Textbook
¾ Section 2.4 – Algebraic Properties page 92 #53, 54, 55
Web-based Practice:
x http://www.jamesbrennan.org/algebra/numbers/real_number_sys
tem.htm
Khan Academy
x http://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets (5 minute video)
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
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:
x Explain why the sum or product of two rational numbers is rational.
x Explain why the sum of a rational and irrational number is irrational.
x Explain why the product of a nonzero number and an irrational number is irrational.
Lesson Plans/Print Activities:
Standard Algebra I - Glencoe McGraw-Hill Textbook
¾ Section 0-2 - Real Numbers ¾ Section 0-4 - Adding and Subtracting Rational Numbers ¾ Section 0-5 - Multiplying and Dividing Rational Numbers
Honors Algebra I – McDougal Littell Textbook
¾ Section 2.4 – Algebraic Properties page 92 #53, 54, 55
Web-based Practice:
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.
