Mathematics Pacing Resource Document

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