Grade 7 Math Curriculum Alignment with State Standards
NM Statute 22-13-1.6.A. Each school district shall align its curricula to meet the state standards for each grade level and subject area so that students who
transfer between public schools within the school district receive the same educational opportunity within the same grade or subject area.
District:
Textbook: Connected Math 2
Strand: NUMBER AND OPERATIONS
Standard: Students will understand
numerical concepts and mathematical
operations.
Grade 7 Performance Standards
7.N.1.1 Determine the absolute value of
rational numbers.
Grade 7 Textbook Pages
SE: Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (26, 35, 39),
Investigation 3: Multiplying and Dividing
Integers (58), Investigation 4: Properties of
Operations (72) TG: Accentuate the Negative
Investigation 2: Adding and Subtracting
Integers (41–44, 58–59, 61), Investigation 3:
Multiplying and Dividing Integers (85),
Investigation 4: Properties of Operations (100)
TR: Accentuate the Negative Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.N.1.2 Illustrate the relationships among
natural (i.e., counting) numbers, whole
numbers, integers, rational and irrational
numbers.
SE: Accentuate the Negative Investigation 1:
Extending the Number System (6) TG:
Accentuate the Negative Investigation 1:
Extending the Number System (13–16) TR:
Accentuate the Negative Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark N.1: Understand numbers, ways of
representing numbers, relationships among numbers, and
number systems.
Supplemental Materials
TR = Teaching Resources
Page 1
TECH = Technology
Month(s) when Addressed
7.N.1.3 Use properties of the real-number
system to explain reasoning and to
formulate and solve real-world problems.
7.N.1.4 Read, write, and compare rational
numbers in scientific notation (e.g., positive
and negative powers of 10) with
approximate numbers using scientific
notation.
7.N.1.5 Simplify numerical expressions
using order of operations.
SE: Accentuate the Negative Investigation 4:
Properties of Operations (66–67, ACE
exercises) TG: Accentuate the Negative
Investigation 4: Properties of Operations (95–
98, 99–101) TR: Accentuate the Negative
Transparencies 4.3; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
This standard is addressed in CMP2 Grade 8
Unit, “Growing, Growing, Growing,”
Investigation 1 (SE: 17; TG: 42)
SE: Accentuate the Negative Investigation
4: Properties of Operations (60–63, ACE
exercises) TG: Accentuate the Negative
Investigation 4: Properties of Operations
(87–90, 99–101) TR: Accentuate the
Negative Transparencies 4.1A–B;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish
Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 2
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: NUMBER AND OPERATIONS
Standard: Students will understand
numerical concepts and mathematical
operations.
Grade 7 Performance Standards
7.N.2.1 Add, subtract, multiply, and divide
rational numbers (e.g., integers, fractions,
terminating decimals) and take positive
rational numbers to whole-number powers.
Grade 7 Textbook Pages
SE: Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (22–29, ACE
exercises), Investigation 3: Multiplying and
Dividing Integers (44–48, ACE exercises),
Investigation 4: Properties of Operations (60–
63, ACE exercises) TG: Accentuate the
Negative Investigation 2: Adding and
Subtracting Integers (37–48, 57–61),
Investigation 3: Multiplying and Dividing
Integers (63– 76, 81–85), Investigation 4:
Properties of Operations (87–90, 99–101) TR:
Accentuate the Negative Transparencies 2.1A–
B, 2.2A–B, 2.3, 3.1, 3.2, 3.3A–B, 4.1A–B;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.N.2.2 Convert terminating decimals into
reduced fractions.
SE = Student Edition
5-8 Benchmark N.2: Understand the meaning of operations and
how they relate to one another.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 6 Unit, “Bits and
Pieces III”.
TG = Teacher’s Guide
TR = Teaching Resources
Page 3
TECH = Technology
Month(s) when Addressed
7.N.2.3 Calculate given percentages of
quantities and use them to solve problems
(e.g., discounts of sales, interest earned,
tips, markups, commission, profit, simple
interest).
SE: Stretching and Shrinking Investigation 1:
Enlarging and Reducing Shapes (15–16) TG:
Stretching and Shrinking Investigation 1:
Enlarging and Reducing Shapes (30) TR:
Stretching and Shrinking Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
7.N.2.4 Add and subtract fractions with
unlike denominators.
TECH: Technology SE: Variables and Patterns
Investigation 3: Rules and Equations (60);
Stretching and Shrinking Investigation 2:
Similar Figures (34); Accentuate the Negative
Investigation 2: Adding and Subtracting
Integers (29); Filling and Wrapping
Investigation 4: Cones, Spheres, and Pyramids
(58); What Do You Expect? Investigation 1:
Evaluating Games of Chance (14) TG:
Variables and Patterns Investigation 3: Rules
and Equations (84); Stretching and Shrinking
Investigation 2: Similar Figures (52);
Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (45–48);
Filling and Wrapping Investigation 4: Cones,
Spheres, and Pyramids (93); What Do You
Expect? Investigation 1: Evaluating Games of
Chance (34) TR: Variables and Patterns,
Stretching and Shrinking, Filling and
Wrapping, What Do You Expect? Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources; Accentuate the
Negative Transparency 2.3; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessmen
7.N.2.5 Multiply, divide, and simplify
rational numbers by using exponent rules.
SE = Student Edition
This standard is addressed in the
CMP2 Grade 8 Unit, “Growing,
Growing, Growing” Investigation
5 (SE: 62 TG: 105–108)
TG = Teacher’s Guide
TR = Teaching Resources
Page 4
TECH = Technology
7.N.2.6 Understand the meaning of the
absolute value of a number:
a. interpret the absolute value as the
distance of the number from zero on a
number line
b. determine the absolute value of real
numbers
7.N.2.7 Find square roots of perfect
whole-number squares.
SE: Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (26, 35, 39),
Investigation 3: Multiplying and Dividing
Integers (58), Investigation 4: Properties of
Operations (72) TG: Accentuate the Negative
Investigation 2: Adding and Subtracting
Integers (41–44, 58–59, 61), Investigation 3:
Multiplying and Dividing Integers (85),
Investigation 4: Properties of Operations (100)
TR: Accentuate the Negative Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources
SE: Stretching and Shrinking Investigation 3:
Similar Polygons (56) TG: Stretching and
Shrinking Investigation 3: Similar Polygons
(72) TR: Accentuate the Negative Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 5
TECH = Technology
7.N.2.8 Simplify and evaluate positive
rational numbers raised to positive whole
number powers.
7.N.2.9 Solve addition, subtraction,
multiplication, and division problems that
use positive and negative integers and
combinations of these operations.
SE: Variables and Patterns Investigation 3:
Rules and Equations (59); Accentuate the
Negative Investigation 4: Properties of
Operations (62–63, 69–71) TG: Variables and
Patterns Investigation 3: Rules and Equations
(83); Accentuate the Negative Investigation 4:
Properties of Operations (87–90, 99–100) TR:
Variables and Patterns Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources; Accentuate the
Negative Transparencies 4.1A–B; Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Accentuate the Negative Investigation 1:
Extending the Number System (14–15, ACE
exercises), Investigation 2: Adding and
Subtracting Integers (22–29, ACE exercises),
Investigation 3: Multiplying and Dividing
Integers (44–49, ACE exercises) TG:
Accentuate the Negative Investigation 1:
Extending the Number System (29–32, 33–35),
Investigation 2: Adding and Subtracting
Integers (37–48, 57–61), Investigation 3:
Multiplying and Dividing Integers (63–80, 81–
85) TR: Accentuate the Negative
Transparencies 1.4A–B, 2.1A–B, 2.2A– B, 2.3,
3.1, 3.2, 3.3A–B, 3.4; Labsheets 3.4;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 6
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: NUMBER AND OPERATIONS
Standard: Students will understand
numerical concepts and mathematical
operations.
Grade 7 Performance Standards
7.N.3.1 Use estimation to check
reasonableness of results, and use this
information to make predictions in
situations involving rational numbers, pi,
and simple algebraic equations.
Grade 7 Textbook Pages
SE: Stretching and Shrinking Investigation 5:
Using Similar Triangles and Rectangles (84–
85); Moving Straight Ahead Investigation 4:
Exploring Slope (88); Data Distributions
Investigation 2: Making Sense of Measures of
Center (31) TG: Stretching and Shrinking
Investigation 5: Using Similar Triangles and
Rectangles (103); Moving Straight Ahead
Investigation 4: Exploring Slope (120); Data
Distributions Investigation 2: Making Sense of
Measures of Center (46–50) TR: Stretching and
Shrinking, Moving Straight Ahead Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources Data
Distributions Transparencies 2.1A–B, Labsheet
2.1; Additional Practice; Notebook Check;
Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark N.3: Compute fluently and make reasonable
estimates.
Supplemental Materials
TR = Teaching Resources
Page 7
TECH = Technology
Month(s) when Addressed
7.N.3.2 Convert fractions to decimals and
percents and use these representations in
estimations, computations, and
applications.
SE: Stretching and Shrinking Investigation 4:
Similarity and Ratios (72); Comparing and
Scaling Investigation 2: Comparing Ratios,
Percents, and Fractions (15–16, 26–27, 44, 57)
TG: Stretching and Shrinking Investigation 4:
Similarity and Ratios (88); Comparing and
Scaling Investigation 2: Comparing Ratios,
Percents, and Fractions (29, 48, 71, 90) TR:
Stretching and Shrinking, Comparing and
Scaling Additional Practice; Notebook Check;
Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.N.3.3 Read, write, and compare rational
numbers in scientific notation (e.g., positive
and negative powers of 10) with
approximate numbers using scientific
notation.
This standard is addressed in
CMP2 Grade 8 Unit, “Growing,
Growing, Growing,” Investigation
1 (SE: 17; TG: 42)
7.N.3.4 Calculate the percentage of
increases and decreases of a quantity.
This standard is addressed in the
CMP2 Grade 6 Unit, “Bits and
Pieces III”.
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 8
TECH = Technology
7.N.3.5 Add and subtract fractions with
unlike denominators.
7.N.3.6 Use the inverse relationship
between raising to a power and extracting
the root of a perfect square integer.
TECH: Technology SE: Variables and Patterns
Investigation 3: Rules and Equations (60);
Stretching and Shrinking Investigation 2:
Similar Figures (34); Accentuate the Negative
Investigation 2: Adding and Subtracting
Integers (29); Filling and Wrapping
Investigation 4: Cones, Spheres, and Pyramids
(58); What Do You Expect? Investigation 1:
Evaluating Games of Chance (14) TG:
Variables and Patterns Investigation 3: Rules
and Equations (84); Stretching and Shrinking
Investigation 2: Similar Figures (52);
Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (45–48);
Filling and Wrapping Investigation 4: Cones,
Spheres, and Pyramids (93); What Do You
Expect? Investigation 1: Evaluating Games of
Chance (34) TR: Variables and Patterns,
Stretching and Shrinking, Filling and
Wrapping; What Do You Expect? Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources; Accentuate the
Negative Transparency 2.3; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment
SE: Stretching and Shrinking Investigation 3:
Similar Polygons (56) TG: Stretching and
Shrinking Investigation 3: Similar Polygons
(72) TR: Stretching and Shrinking Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 9
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
algebraic concepts and applications.
Strand: ALGEBRA
Grade 7 Performance Standards
7.A.1.1 Identify and continue patterns
presented in a variety of formats.
Grade 7 Textbook Pages
SE: Variables and Patterns Investigation 2:
Analyzing Graphs and Tables (31, 46) TG:
Variables and Patterns Investigation 2:
Analyzing Graphs and Tables (45–50) TR:
Transparencies 2.1A–B; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark A.1: Understand patterns, relations, and
functions.
Supplemental Materials
TR = Teaching Resources
Page 10
TECH = Technology
Month(s) when Addressed
7.A.1.2 Represent a variety of
relationships using tables, graphs, verbal
rules, and possible symbolic notation, and
recognize the same general pattern
presented in different representations.
7.A.1.3 Simplify numerical expressions by
applying properties of rational numbers,
and justify the process used.
TECH: Technology SE: Variables and Patterns
Investigation 2: Analyzing Graphs and Tables
(31–32, ACE exercises), Investigation 3: Rules
and Equations (49–51, ACE exercises),
Looking Back and Looking Ahead (81– 83,
ACE exercises) Moving Straight Ahead
Investigation 1: Walking Rates (6– 7, ACE
exercises), Investigation 2: Exploring Linear
Functions With Graphs and Tables (29–30,
ACE exercises) TG: Variables and Patterns
Investigation 2: Analyzing Graphs and Tables
(45–54, 59–67), Investigation 3: Rules and
Equations (69–72, 81–85), Looking Back and
Looking Ahead (103–105) Moving Straight
Ahead Investigation 1: Walking Rates (19–24,
35–40), Investigation 2: Exploring Linear
Functions With Graphs and Tables (55–60, 61–
65) TR: Variables and Patterns Transparencies
2.1A–B, 2.2, 3.1; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources Moving
Straight Ahead Transparencies 1.2, 2.4;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources T
SE: Accentuate the Negative Investigation 4:
Properties of Operations (62, 68) TG:
Accentuate the Negative Investigation 4:
Properties of Operations (87–90) TR:
Transparencies 4.1A–B; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 11
TECH = Technology
7.A.1.4 Interpret and evaluate expressions
involving integer powers and simple roots.
7.A.1.5 Graph and interpret linear
functions.
SE: Accentuate the Negative Investigation 4:
Properties of Operations (63) TG: Accentuate
the Negative Investigation 4: Properties of
Operations (87–90) TR: Transparencies 4.1A–
B; Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Moving Straight Ahead Investigation 1:
Walking Rates (6–7, ACE exercises) TG:
Moving Straight Ahead Investigation 1:
Walking Rates (19–24, 35–40) TR: Moving
Straight Ahead Transparencies 1.2; Labsheets;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 12
TECH = Technology
7.A.1.6 Solve problems involving rate,
average speed, distance, and time.
TECH: Technology SE: Variables and Patterns
Investigation 1: Variables, Tables, and
Coordinate Graphs (14, ACE exercises)
Moving Straight Ahead Investigation 1:
Walking Rates (5–6, ACE exercises)
Comparing and Scaling Investigation 3:
Comparing and Scaling Rates (35) TG:
Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs (33–
36, 37–43) Moving Straight Ahead
Investigation 1: Walking Rates (16–18, 35–40)
Comparing and Scaling Investigation 3:
Comparing and Scaling Rates (57–60) TR:
Variables and Patterns Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources Moving Straight Ahead
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources Comparing and Scaling
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchoo
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 13
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
algebraic concepts and applications.
Strand: ALGEBRA
Grade 7 Performance Standards
7.A.2.1 Write verbal expressions and
sentences as algebraic expressions and
equations:
a. evaluate algebraic expressions
b. solve simple linear equations
c. graph and interpret results
7.A.2.2 Use variables and appropriate
operations to write an expression, an
equation, or an inequality that represents a
verbal description.
Grade 7 Textbook Pages
SE: Moving Straight Ahead Investigation 3:
Solving Equations (48–54, ACE exercises),
Investigation 4: Exploring Slope (76–77, ACE
exercises) TG: Moving Straight Ahead
Investigation 3: Solving Equations (71–84, 89–
94), Investigation 4: Exploring Slope (111–
114, 115–120) TR: Moving Straight Ahead
Transparencies 3.2A–B, 3.3A–B, 3.4;
Labsheets 3.2, 3.3; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
5-8 Benchmark A.2: Represent and analyze mathematical
situations and structures using algebraic symbols.
Supplemental Materials
SE: Variables and Patterns Investigation 3–
Rules and Equations (49–54, ACE exercises)
TG: Variables and Patterns Investigation 3 (69–
80, 81–85) TR: Variables and Patterns
Transparencies 3.1, 3.3; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 14
TECH = Technology
Month(s) when Addressed
7.A.2.3 Use the order of operations to
evaluate algebraic expressions.
7.A.2.4 Simplify numerical expressions by
applying properties of rational numbers.
7.A.2.5 Graph linear functions and identify
slope as positive or negative.
SE: Accentuate the Negative Investigation 4:
Properties of Operations (60, 71, 74) TG:
Accentuate the Negative Investigation 4:
Properties of Operations (87–90, 100–101) TR:
Accentuate the Negative Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Accentuate the Negative Investigation 4:
Properties of Operations (66–68) TG:
Accentuate the Negative Investigation 4:
Properties of Operations (95–100) TR:
Accentuate the Negative Transparencies 4.3;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Moving Straight Ahead Investigation 4:
Exploring Slope (72–74, ACE exercises) TG:
Moving Straight Ahead Investigation 4:
Exploring Slope (101–106, 115–120) TR:
Moving Straight Ahead Transparencies 4.2A–
B; Labsheets 4.2; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 15
TECH = Technology
7.A.2.6 Use letters as variables in
mathematical expressions to describe how
one quantity changes when a related
quantity changes.
This standard is covered throughout the
investigations and ACE exercises in the texts
Variables and Patterns and Moving Straight
Ahead TR: Variables and Patterns
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources Moving Straight Ahead
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 16
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
algebraic concepts and applications.
Strand: ALGEBRA
Grade 7 Performance Standards
7.A.3.1 Create scale models and use them
for dimensional drawings.
Grade 7 Textbook Pages
7.A.3.2 Understand and use the
coordinate plane to graph ordered pairs
and linear equations.
SE: Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (30–31, ACE
exercises) Variables and Patterns Investigation
1: Variables, Tables, and Coordinate Graphs
(7–11, ACE exercises) TG: Accentuate the
Negative Investigation 2: Adding and
Subtracting Integers (37–48, 57–61); Variables
and Patterns Investigation 1: Variables, Tables,
and Coordinate Graphs (21–28, 37–43) TR:
Accentuate the Negative Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources Variables and Patterns
Transparencies 1.3A–B; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
Supplemental Materials
"How Big is Big" Balanced
Assessment in Mathematics,
http://balancedassessment.conc
ord.org/tasksalpha.html
7.A.3.3 Select and use an appropriate
model for a particular situation.
SE = Student Edition
5-8 Benchmark A.3: Use mathematical models to represent and
understand quantitative relationships.
This standard is addressed in the
CMP2 Grade 8 Unit, “Say It With
Symbols”.
TG = Teacher’s Guide
TR = Teaching Resources
Page 17
TECH = Technology
Month(s) when Addressed
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
algebraic concepts and applications.
Strand: ALGEBRA
Grade 7 Performance Standards
7.A.4.1 Use variables and appropriate
operations to write an expression, an
equation, and/or an inequality that
represents a verbal description involving
change.
Grade 7 Textbook Pages
SE: Variables and Patterns Investigation 3:
Rules and Equations (49–63), Investigation 4:
Calculator Tables and Graphs (64–80); Moving
Straight Ahead Investigation 1: Walking Rates
(5–23), Investigation 2: Exploring Linear
Functions With Graphs and Tables (25– 26, 31,
37, 40, 42, 43), Investigation 3: Solving
Equations (65, 66, 67), Investigation 4
Exploring Slope (76–78, 84–85) TG: Variables
and Patterns Investigation 3: Rules and
Equations (68–86), Investigation 4: Calculator
Tables and Graphs (86–102); Moving Straight
Ahead Investigation 1: Walking Rates (15–40),
Investigation 2: Exploring Linear Functions
With Graphs and Tables (47– 50, 61, 63–65),
Investigation 3: Solving Equations (93),
Investigation 4 Exploring Slope (111–115,
118–119) TR: Variables and Patterns, Moving
Straight Ahead Transparencies; Labsheets;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses (PHSchool.
7.A.4.2 Interpret and evaluate expressions
involving integer powers and simple roots
as they relate to change.
SE = Student Edition
5-8 Benchmark A.4: Analyze changes in various contexts.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 8 Unit, “Frogs,
Fleas, and Painted Cubes”
Investigation 3 (SE: 41, 49, TG:
89–94, 111), and in “Growing,
Growing, Growing” Investigation
3 (SE: 39, TG: 75–76)
TG = Teacher’s Guide
TR = Teaching Resources
Page 18
TECH = Technology
Month(s) when Addressed
7.A.4.3 Graph and interpret linear
functions as they are used to solve
problems.
7.A.4.4 Solve two-step equations and
inequalities with one variable over the
rational numbers, interpret the solution or
solutions in the context from which they
arose, and verify the reasonableness of the
results.
SE: Variables and Patterns Investigation 4:
Calculator Tables and Graphs (67–71, ACE
exercises) Moving Straight Ahead Investigation
1: Walking Rates (8–9, ACE exercises),
Investigation 2: Exploring Linear Functions
With Graphs and Tables (25–29, ACE
exercises), Investigation 3: Solving Equations
(46– 48, ACE exercises) TG: Variables and
Patterns Investigation 4: Calculator Tables and
Graphs (91–98, 99–102) Moving Straight
Ahead Investigation 1: Walking Rates (25–30,
35–40), Investigation 2: Exploring Linear
Functions With Graphs and Tables (47– 54,
61–65), Investigation 3: Solving Equations
(67–70, 89–94) TR: Variables and Patterns
Transparencies 4.2A–B; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources Moving
Straight Ahead Transparencies 2.3, 3.1A–B;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); E
SE: Moving Straight Ahead Investigation 3:
Solving Equations (51–54, ACE exercises) TG:
Moving Straight Ahead Investigation 3:
Solving Equations (77–84, 89–94) TR: Moving
Straight Ahead Transparencies 3.3A–B, 3.4;
Labsheets 3.3; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 19
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand
geometric concepts and applications.
Grade 7 Performance Standards
7.G.1.1 Classify geometric figures as
similar or congruent.
Grade 7 Textbook Pages
SE: Stretching and Shrinking Investigation 2–
Similar Figures (22–23, 25–27, ACE
exercises), Investigation 4– Similarity and
Ratios (62–63) TG: Stretching and Shrinking
Investigation 2 (33–38, 43–48, 49–53),
Investigation 4 (79–82, 87–89) TR: Stretching
and Shrinking Transparencies 2.1A–B, 2.3, 4.2;
Labsheets 2.1A–C, 2.3, 4.2; Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark G.1: Analyze characteristics and properties of
two- and three-dimensional geometric shapes and develop
mathematics arguments about geometric relationships.
Supplemental Materials
TR = Teaching Resources
Page 20
TECH = Technology
Month(s) when Addressed
7.G.1.2 Understand the concept of a
constant (e.g., pi) and use the formulas for
the circumference and area of a circle.
SE: Variables and Patterns Investigation 2:
Analyzing Graphs and Tables (43),
Investigation 4: Calculator Tables and Graphs
(77); Stretching and Shrinking Investigation 1:
Enlarging and Reducing Shapes (15, 16, 17,
18); Filling and Wrapping Investigation 1:
Building Boxes (14) TG: Variables and
Patterns Investigation 2: Analyzing Graphs and
Tables (64), Investigation 4: Calculator Tables
and Graphs (101); Stretching and Shrinking
Investigation 1: Enlarging and Reducing
Shapes (29–30); Filling and Wrapping
Investigation 1: Building Boxes (33) TR:
Variables and Patterns, Stretching and
Shrinking, Filling and Wrapping Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.G.1.3 Explain and use the Pythagorean
theorem.
This standard is addressed in the
CMP2 Grade 8 Unit, “Looking for
Pythagoras”.
7.G.1.4 Determine the radius, diameter,
and circumference of a circle and explain
their relationship.
This standard is addressed in the
CMP2 Grade 6 Unit, “Covering and
Surrounding”.
7.G.1.5 Use properties to classify solids
including pyramids, cones, prisms, and
cylinders.
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 21
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand
geometric concepts and applications.
Grade 7 Performance Standards
7.G.2.1 Construct and use coordinate
graphs to plot simple figures, determine
lengths and areas related to them, and
determine the image under translations
and reflections.
Grade 7 Textbook Pages
SE: Stretching and Shrinking Investigation 2:
Similar Figures (24–25, ACE Exercises) TG:
Stretching and Shrinking Investigation 2:
Similar Figures (39–42, 49–53) TR: Stretching
and Shrinking Transparency 2.3; Labsheet 2.3;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM For more
comprehensive coverage of this standard,
please see the CMP2 Grade 8 Unit,
“Kaleidoscopes, Hubcaps, and Mirrors”.
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark G.2: Specify locations and describe spatial
relationships using coordinate geometry and other
representational systems.
Supplemental Materials
TR = Teaching Resources
Page 22
TECH = Technology
Month(s) when Addressed
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
geometric concepts and applications.
Strand: GEOMETRY
Grade 7 Performance Standards
7.G.3.1 Determine how perimeter and
area are affected by changes of scale.
Grade 7 Textbook Pages
SE: Stretching and Shrinking Investigation 3:
Similar Polygons (39– 43, ACE exercises) TG:
Stretching and Shrinking Investigation 3:
Similar Polygons (55– 68, 69–72) TR:
Stretching and Shrinking Transparencies 3.2,
3.3A–B; Labsheets 3.2, 3.3A–B; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark G.3: Apply transformations and use symmetry
to analyze mathematical situations.
Supplemental Materials
TR = Teaching Resources
Page 23
TECH = Technology
Month(s) when Addressed
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Standard: Students will understand
geometric concepts and applications.
Strand: GEOMETRY
Grade 7 Performance Standards
7.G.4.1 Compute the perimeter and area
of common geometric shapes and use the
results to find measures of less common
objects.
Grade 7 Textbook Pages
5-8 Benchmark G.4: Use visualization, spatial reasoning, and
geometric modeling to solve problems.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 6 Unit, “Covering and
Surrounding”.
7.G.4.2 Identify and describe the
properties of two-dimensional figures:
This standard is addressed in the
CMP2 Grade 6 Unit, “Shapes and
Designs”.
a. identify angles as vertical, adjacent,
complementary, or supplementary and
provide descriptions of these terms
b. use the properties of complementary
and supplementary angles and the sum of
the angles of a triangle to solve problems
involving an unknown angle
c. draw quadrilaterals and triangles from
given information
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 24
TECH = Technology
Month(s) when Addressed
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: MEASUREMENT
Standard: Students will understand
measurement systems and applications.
Grade 7 Performance Standards
7.M.1.1 Choose appropriate units of
measure and ratios to recognize new
equivalences (e.g., 1 square yard equals 9
square feet) to solve problems.
Grade 7 Textbook Pages
5-8 Benchmark M.1: Understand measurable attributes of
objects and the units, systems, and processes of
measurement.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 6 Unit, “Covering
and Surrounding” Investigation 1
(SE: 15– 17, TG: 35–36)
Equivalences that do not involve
ratios can be found in: SE: Filling
and Wrapping Investigation 5:
Scaling Boxes (70, 72),
Comparing and Scaling
Investigation 3: Comparing and
Scaling Rates (45) TG: Filling
and Wrapping Investigation 5:
Scaling Boxes (111), Comparing
and Scaling Investigation 3:
Comparing and Scaling Rates
(71–72) TR: Filling and
Wrapping, Comparing and
Scaling Additional Practice;
Notebook Check; Self–
Assessment; Spanish
Assessment Resources TECH:
Calculators; Student Activity CD–
ROM; PHSchool.com Web Code
ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2);
ExamView® CD–ROM; Teacher
Express™ CD–ROM
7.M.1.2 Select and use the appropriate
size and type of unit for a given
measurement situation.
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 25
TECH = Technology
Month(s) when Addressed
7.M.1.3 Compare masses, weights,
capacities, geometric measures, times,
and temperatures within measurement
systems.
SE: Filling and Wrapping Investigation 2:
Designing Rectangular Boxes (20, 24– 27),
Investigation 3: Prisms and Cylinders (33, 35,
37–38, 40, 42), Investigation 4–: Cones,
Spheres, and Pyramids (50–53, 55–57) SE:
Filling and Wrapping Investigation 2:
Designing Rectangular Boxes (37–42, 51–52),
Investigation 3: Prisms and Cylinders (57–64,
69–72, 74–75), Investigation 4: Cones,
Spheres, and Pyramids (83–90, 92–93) TR:
Filling and Wrapping Transparencies 2.1, 3.1,
3.2A–B, 4.1, 4.2, 4.3; Labsheet 3.2, 4.2A–E;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.M.1.4 Approximate the relationship
between standard and metric
measurement systems (e.g., inches and
centimeters, pounds and kilograms, quarts
and liters).
7.M.1.5 Use measures expressed as rates
and measures expressed as products to
solve problems, check the units of the
solutions, and analyze the reasonableness
of the answer.
Students explore the relationship between
temperature measured in degrees Fahrenheit
and Celsius in Moving Straight Ahead
Investigation 4.
SE: Moving Straight Ahead Investigation 1:
Walking Rates (6–7, 12–13), Investigation 2:
Exploring Linear Functions With Graphs and
Tables (31) TG: Moving Straight Ahead
Investigation 1: Walking Rates (16–24, 35–36),
Investigation 2: Exploring Linear Functions
With Graphs and Tables (61) TR: Moving
Straight Head Transparency 1.2; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 26
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Strand: MEASUREMENT
Textbook: Connected Math 2
Standard: Students will understand
measurement systems and applications.
Grade 7 Performance Standards
7.M.2.1 Apply strategies and formulas to
find missing angle measurements in
triangles and quadrilaterals.
7.M.2.2 Select and use formulas to
determine the circumference of circles and
the area of triangles, parallelograms,
trapezoids, and circles.
Grade 7 Textbook Pages
5-8 Benchmark M.2: Apply appropriate techniques, tools, and
formulas to determine measurements.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 6 Unit, “Shapes
and Designs”.
SE: Filling and Wrapping Investigation 1:
Building Boxes (14), Stretching and Shrinking
Investigation 1: Enlarging and Reducing
Shapes (14–16), Variables and Patterns
Investigation 2: Analyzing Graphs and Tables
(42–43), Moving Straight Ahead Investigation
3: Solving Equations (63) TG: Filling and
Wrapping Investigation 1: Building Boxes (33),
Stretching and Shrinking Investigation 1:
Enlarging and Reducing Shapes (29–30),
Variables and Patterns Investigation 2:
Analyzing Graphs and Tables (63–64), Moving
Straight Ahead Investigation 3: Solving
Equations (92) TR: Filling and Wrapping,
Stretching and Shrinking, Variables and
Patterns, Moving Straight Ahead Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 27
TECH = Technology
Month(s) when Addressed
7.M.2.3 Solve problems involving scale
factors, ratios, and proportions.
SE: Comparing and Scaling Investigation 1:
Making Comparisons (6–7, ACE exercises),
Investigation 2: Comparing Ratios, Percents,
and Fractions (19–23, ACE exercises),
Investigation 4: Making Sense of Proportions
(49–54), Looking Back and Looking Ahead
(65–67) Stretching and Shrinking Investigation
4: Similarity and Ratios (58–65), Investigation
5: Using Similar Triangles and Rectangles (78–
83) Filling and Wrapping Investigation 5:
Scaling Boxes (65–66) TG: Comparing and
Scaling Investigation 1: Making Comparisons
(19–22, 27–30), Investigation 2: Comparing
Ratios, Percents, and Fractions (32–46, 47–50),
Investigation 4: Making Sense of Proportions
(74–88, 89–92), Looking Back and Looking
Ahead (92–93) Stretching and Shrinking
Investigation 4: Similarity and Ratios (75–86,
87–89), Investigation 5 (91–102, 103–104)
Filling and Wrapping Investigation 5: Scaling
Boxes (105–108, 109–112) TR: Comparing and
Scaling Transparencies 2.2, 2.3A–B, 4.1, 4.2;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 28
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and
determine probabilities.
5-8 Benchmark D.1: Formulate questions that can be
addressed with data and collect, organize, and display relevant
data to answer them.
Grade 7 Performance Standards
7.D.1.1 Describe how data
representations influences interpretation.
Grade 7 Textbook Pages
Supplemental Materials
This standard is addressed in the
CMP2 Grade 8 Unit, “Samples
and Populations” Investigation 3
(ACE exercise).
7.D.1.2 Select and use appropriate
representation for presenting collected
data and justify the selection.
SE: Data Distributions Investigation 1: Making
Sense of Variability (14, 20, 22– 23, 46–47, 50,
68–69), Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs (25)
TG: Data Distributions Investigation 1: Making
Sense of Variability (33–35, 39– 41, 68–70,
94–95), Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs (41)
TR: Data Distributions Transparencies 1.4A–B;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
Variables and Patterns Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 29
TECH = Technology
Month(s) when Addressed
7.D.1.3 Use measures of central tendency
and spread to describe a set of data.
7.D.1.4 Choose between median and
mode to describe a set of data and justify
the choice for a particular situation.
SE: Data Distributions Investigation 1: Making
Sense of Variability (13–15, ACE exercises),
Investigation 2: Making Sense of Measures of
Center (28–35, 40– 43, ACE exercises),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (76–77, ACE
exercises) TG: Data Distributions Investigation
1: Making Sense of Variability (33–37, 37–
42), Investigation 2: Making Sense of
Measures of Center (46–54, 61–66, 67– 71),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (103–114,
115–117) TR: Data Distributions
Transparencies 1.4A–B, 2.1A–B, 2.2A–C, 2.4,
4.2A–D; Labsheets 2.1, 4.2A–P; Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Data Distributions Investigation 2: Making
Sense of Measures of Center (36–39, ACE
exercises) TG: Data Distributions Investigation
2: Making Sense of Measures of Center (55–
60, 67–71) TR: Data Distributions
Transparencies 2.3A–E; Labsheets; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.D.1.5 Determine the quartiles of a data
set.
SE = Student Edition
This standard is addressed in the
CMP2 Grade 8 Unit, “Samples
and Populations”. There are no
references at Grade 7.
TG = Teacher’s Guide
TR = Teaching Resources
Page 30
TECH = Technology
7.D.1.6 Identify ordered pairs of data from
a graph and interpret the data in terms of
the situation depicted by the graph.
7.D.1.7 Use various scales and formats to
display the same data set.
SE: Accentuate the Negative Investigation 2:
Adding and Subtracting Integers (31, 36–37),
Variables and Patterns Investigation 1:
Variables, Tables, and coordinate Graphs (10–
11, 12–13) TG: Accentuate the Negative
Investigation 2: Adding and Subtracting
Integers (53–56, 59), Variables and Patterns
Investigation 1: Variables, Tables, and
coordinate Graphs (25–32) TR: Accentuate the
Negative Transparency 2.5; Labsheet 2.5;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources;
Variables and Patterns Transparencies 1.3A–B,
1.4; Additional Practice; Notebook Check;
Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Data Distributions Investigation 1: Making
Sense of Variability (7, 10–11, 13–15, 18–19,
22–23), Investigation 2: Making Sense of
Measures of Center (33–34, 44–45, 50),
Investigation 3: Comparing Distributions:
Equal Numbers of Data Values (56–57, 68–69)
TG: Data Distributions Investigation 1: Making
Sense of Variability (20–28, 33– 35, 38–41),
Investigation 2: Making Sense of Measures of
Center (51–54, 67, 69), Investigation 3:
Comparing Distributions: Equal Numbers of
Data Values (74–82, 94–95) TR: Data
Distributions Transparencies 1.1A–C, 1.4A–B,
2.2A–C, 3.1A–C, 3.2A–B; Labsheets 1.1, 1.2,
3.2; Additional Practice; Notebook Check;
Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 31
TECH = Technology
7.D.1.8 Identify and explain the misleading
representations of data.
7.D.1.9 Collect, organize, and represent
data sets that have one or more variables
and identify relationships among variables
within a data set.
SE: Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs (16,
19, 45) TG: Variables and Patterns
Investigation 1: Variables, Tables, and
Coordinate Graphs (38–39, 65) TR: Variables
and Patterns Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs
(20–21), Investigation 4: Calculator Tables
and Graphs (66, 68–69, 75) TG: Variables
and Patterns Investigation 1: Variables,
Tables, and Coordinate Graphs (39–40),
Investigation 4: Calculator Tables and
Graphs (87–94, 1005) TR: Variables and
Patterns Transparencies 4.1, 4.2A–B;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment
Resources TECH: Calculators; Student
Activity CD–ROM; PHSchool.com Web
Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2);
ExamView® CD–ROM; Teacher
Express™ CD–ROM
7.D.1.10 Compute the minimum, lower
quartile, median, upper quartile, and
maximum of a data set.
7.D.1.11 Identify and explain the effects of
scale and/or interval changes on graphs of
whole number data sets.
This standard is addressed in the
CMP2 Grade 8 Unit, “Samples
and Populations”. There are no
references at Grade 7.
SE: Variables and Patterns Investigation 1:
Variables, Tables, and Coordinate Graphs (16,
19, 45) TG: Variables and Patterns
Investigation 1: Variables, Tables, and
Coordinate Graphs (38–39, 65) TR: Variables
and Patterns Additional Practice; Notebook
Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 32
TECH = Technology
7.D.1.12 Use and explain sampling
techniques (e.g., observations, surveys,
and random sampling) for gathering data.
SE: Data Distributions Investigation 4:
Comparing Distributions: Unequal Numbers of
Data Values (74–79, 82–83) TG: Data
Distributions Investigation 4: Comparing
Distributions: Unequal Numbers of Data
Values (97–116) TR: Data Distributions
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
7.D.1.13 Analyze problems by identifying
relationships, distinguishing relevant from
irrelevant information, identifying missing
information, and selecting, collecting, and
displaying appropriate data to address the
problem.
This standard is covered within the in– class
problems and the ACE exercises found in each
investigation of all student units.
Representative citations follow: SE: Variables
and Patterns Investigation 1: Variables, Tables,
and Coordinate Graphs (5–29), Investigation 2:
Analyzing Graphs and Tables (30–48),
Investigation 3: Rules and Equations (49– 63),
Investigation 4: Calculator Tables and Graphs
(64–80) TG: Variables and Patterns
Investigation 1: Variables, Tables, and
Coordinate Graphs (15–43), Investigation 2:
Analyzing Graphs and Tables (44–67),
Investigation 3: Rules and Equations (68– 85),
Investigation 4: Calculator Tables and Graphs
(86–102) TR: Variables and Patterns
Transparencies; Labsheets; Notebook Check;
Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com, Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 33
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and
determine probabilities.
Grade 7 Performance Standards
7.D.2.1 Choose and justify appropriate
measures of central tendencies (e.g.,
mean, median, mode, range) to describe
given or derived data.
7.D.2.2 Know various ways to display data
sets (e.g., stem and leaf plot, box and
whisker plot, scatter plots) and use these
forms to display a single set of data or to
compare two sets of data.
Grade 7 Textbook Pages
Measures of central tendency are covered in the
CMP2 Grade 7 Unit, “Data Distributions”
Investigation 2: Making Sense of Measures of
Center. The exercises in the text can be
extended to satisfy this standard.
SE: Data Distributions Investigation 1: Making
Sense of Variability (21–23, 26), Investigation
2: Making Sense of Measures of Center (28–
54), Investigation 3: Comparing Distributions:
Equal Numbers of Data Values (55–73),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (84) TG:
Data Distributions Investigation 1: Making
Sense of Variability (40–42), Investigation 2:
Making Sense of Measures of Center (44–72),
Investigation 3: Comparing Distributions:
Equal Numbers of Data Values (72–96),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (117) TR:
Data Distributions Transparencies; Labsheets;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM Note:
Scatterplots (though not defined until Data
Distributions) are also used throughout
Variables and Patterns.
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark D.2: Select and use appropriate statistical
methods to analyze data.
Supplemental Materials
TR = Teaching Resources
Page 34
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Month(s) when Addressed
7.D.2.3 Use the analysis of data to make
convincing arguments.
7.D.2.4 Use appropriate technology to
gather and display data sets and identify
the relationships that exist among variables
within the data set.
SE: Data Distributions Investigation 1: Making
Sense of Variability (6–11, ACE exercises)
TG: Data Distributions Investigation 1: Making
Sense of Variability (20–28, 37– 42) TR: Data
Distributions Transparencies 1.1A–C, 1.2A–B;
Labsheets 1.1, 1.2; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
Data Distributions was designed to be used
with Tinkerplots software available from Key
Curriculum Press. Problems 2.4, 3.3, 3.4, and
4.2 are well suited for use with the software.
SE: Data Distributions Investigation 2: Making
Sense of Measures of Center (40–43),
Investigation 3: Comparing Distributions:
Equal Numbers of Data Values (60–61),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (76–77) TG:
Data Distributions Investigation 2: Making
Sense of Measures of Center (61–66),
Investigation 3: Comparing Distributions:
Equal Numbers of Data Values (83–92),
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (103–114)
TR: Data Distributions Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 35
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7.D.2.5 Use data samples of a population
and describe the characteristics and
limitations of the sample.
SE: Data Distributions Investigation 4:
Comparing Distributions: Unequal Numbers of
Data Values (74–85) TG: Data Distributions
Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (97–117)
TR: Data Distributions Transparencies;
Labsheets; Additional Practice; Notebook
Check; Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
7.D.2.6 Identify data that represent
sampling errors and explain why the
sample and the display might be biased.
7.D.2.7 Identify claims based on statistical
data and evaluate the validity of the claims.
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 36
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Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and
determine probabilities.
Grade 7 Performance Standards
7.D.3.1 Formulate and justify
mathematical conjectures based on data
and a general description of the
mathematical question or problem posed.
Grade 7 Textbook Pages
This standard is covered within the in– class
problems and the ACE exercises found in each
investigation of all student units.
Representative citations follow: SE: Variables
and Patterns Investigation 1: Variables, Tables,
and Coordinate Graphs (5–29), Investigation 2:
Analyzing Graphs and Tables (30–48),
Investigation 3: Rules and Equations (49– 63),
Investigation 4: Calculator Tables and Graphs
(64–80) TG: Variables and Patterns
Investigation 1: Variables, Tables, and
Coordinate Graphs (15–43), Investigation 2:
Analyzing Graphs and Tables (44–67),
Investigation 3: Rules and Equations (68– 85),
Investigation 4: Calculator Tables and Graphs
(86–102) TR: Variables and Patterns
Transparencies; Labsheets; Notebook Check;
Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com, Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark D.3: Develop and evaluate inferences and
predictions that are based on data.
Supplemental Materials
TR = Teaching Resources
Page 37
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Month(s) when Addressed
7.D.3.2 Analyze data to make accurate
inferences, predictions, and to develop
convincing arguments from data displayed
in a variety of forms.
7.D.3.3 Approximate a line of best fit for a
data set in a scatter plot form and make
predictions using the simple equation of
that line.
This standard is addressed throughout the Data
Distributions unit. SE: Data Distributions
Investigation 1: Making Sense of Variability
(5–27), Investigation 2: Making Sense of
Measures of Center (28–54), Investigation 3:
Comparing Distributions: Equal Numbers of
Data Values (55–73), Investigation 4:
Comparing Distributions: Unequal Numbers of
Data Values (74–85) TG: Data Distributions
Investigation 1: Making Sense of Variability
(19–43), Investigation 2: Making Sense of
Measures of Center (44–72), Investigation 3:
Comparing Distributions: Equal Numbers of
Data Values (72–96), Investigation 4:
Comparing Distributions: Unequal Numbers of
Data Values (97–117) TR: Data Distributions
Transparencies; Labsheets; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Data Distributions Investigation 1: Making
Sense of Variability (26), Investigation 4:
Comparing Distributions: Unequal Numbers of
Data Values (84) TG: Data Distributions
Investigation 1: Making Sense of Variability
(42), Investigation 4: Comparing Distributions:
Unequal Numbers of Data Values (117) TR:
Data Distributions Additional Practice;
Notebook Check; Self– Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 38
TECH = Technology
Grade 7 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and
determine probabilities.
Grade 7 Performance Standards
7.D.4.1 Determine the probability of a
compound event composed of two
independent events.
7.D.4.2 Identify examples of events having
the probability of one or zero.
Grade 7 Textbook Pages
SE: What Do You Expect? Investigation 1:
Evaluating Games of Chance (7–8, ACE
exercises), Investigation 2: Analyzing
Situations Using an Area Model (20–25, ACE
exercises) TG: What Do You Expect?
Investigation 1: Evaluating Games of Chance
(23–26, 33–35), Investigation 2: Analyzing
Situations Using an Area Model (38–48, 55–
58) TR: What Do You Expect? Transparencies
2.1, 2.2; Labsheets 2.1; Additional Practice;
Notebook Check; Self–Assessment; Spanish
Assessment Resources TECH: Calculators;
Student Activity CD–ROM; PHSchool.com
Web Code ank–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: What Do You Expect? Investigation 1:
Evaluating Games of Chance (14) TG: What
Do You Expect? Investigation 1: Evaluating
Games of Chance (34) TR: What Do You
Expect? Additional Practice; Notebook Check;
Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark D.4: Understand and apply basic concepts of
probability.
Supplemental Materials
TR = Teaching Resources
Page 39
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Month(s) when Addressed
7.D.4.3 Describe the probability of events
using fractions, decimals, and percents.
7.D.4.4 Express probability as a fraction,
zero, or one.
This standard is covered throughout the
investigations and ACE exercises in the text
What Do You Expect? TR: What Do You
Expect? Transparencies; Labsheets; Additional
Practice; Notebook Check; Self– Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: What Do You Expect? Investigation 1:
Evaluating Games of Chance (5–6, 8– 14, 16–
18), Investigation 2: Analyzing Situations
Using an Area Model (21, 23, 25, 27–30, 32–
35), Investigation 3: Expected Value (39, 45–
48), Investigation 4: Binomial Outcomes (52–
59) TG: What Do You Expect? Investigation 1:
Evaluating Games of Chance (18–35),
Investigation 2: Analyzing Situations Using an
Area Model (38–58), Investigation 3:
Expected Value (60–64, 74–76), Investigation
4: Binomial Outcomes (83–94) TR: What Do
You Expect? Transparencies 1.1, 2.1, 2.2A–B,
2.3, 3.1, 4.2; Labsheets 1.1, 1.3, 2.1, 3.1;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 40
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7.D.4.5 Use probability to generate
convincing arguments, draw conclusions,
and make decisions in a variety of
situations.
7.D.4.6 Make predictions based on
theoretical probabilities of compound
events.
SE: What Do You Expect? Investigation 3:
Expected Value (40–41, ACE exercises),
Investigation 4: Binomial Outcomes (50–53,
ACE exercises) TG: What Do You Expect?
Investigation 3: Expected Value (65–68, 73–
76), Investigation 4: Binomial Outcomes (79–
82, 87–90, 91–94) TR: What Do You Expect?
Transparencies 3.2; Labsheets 3.2; Additional
Practice; Notebook Check; Self–Assessment;
Spanish Assessment Resources TECH:
Calculators; Student Activity CD–ROM;
PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE: What Do You Expect? Investigation 1:
Evaluating Games of Chance (7–8, ACE
exercises), Investigation 4: Binomial Outcomes
(52–53, ACE exercises) TG: What Do You
Expect? Investigation 1 (23–2633–35),
Investigation 4 (87–90, 91–94) TR: What Do
You Expect? Transparencies; Labsheets;
Additional Practice; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–
ROM; PHSchool.com Web Code ank–5500;
LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 41
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7.D.4.7 Determine the probability of a
simple event or a compound event
composed of a simple, independent
events.
SE: What Do You Expect? Investigation 1:
Evaluating Games of Chance (7–8, ACE
exercises), Investigation 2: Analyzing
Situations Using an Area Model (20–25, ACE
exercises), Investigation 4: Binomial Outcomes
(51– 52, ACE exercises) TG: What Do You
Expect? Investigation 1: Evaluating Games of
Chance (23–26, 33–35), Investigation 2:
Analyzing Situations Using an Area Model
(38–48, 55–58), Investigation 4: Binomial
Outcomes (83–86, 91–94) TR: What Do You
Expect? Transparencies 2.1, 2.2, 4.2; Labsheets
2.1; Additional Practice; Notebook Check;
Self–Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity
CD–ROM; PHSchool.com Web Code ank–
5500; LessonLab Online Courses
(PHSchool.com/cmp2); ExamView® CD–
ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 42
TECH = Technology