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Math 7
Scope and Sequence
By
Mardonnia Silva and Jeanne Sidoroff
BETA Campus
Math 7 -Year At a Glance
First Semester
Three Weeks
Topics/
Concepts
TEKS
Resource:
Passport to
Math Book2
1st 3 weeks
2nd 3 weeks
3rd 3 weeks
4th 3 weeks
5th 3 weeks
6th 3 weeks
Basic MATH
Number Theory and
Relationships
Fractions and their
Operations
Algebra and
Integers (Part 1)
Algebra and Integers
(Part 2)
Ratios And
Proportions
Ch. 6
2D, 3B, 4A, 6D, 8C,
13D, 14A, 15B
Problem-Solving
Strategies
Ch. 1
2F, 2G, 13A, 13B, 13C,
14A, 14B
Second Semester
Three Weeks
Topics/
Concepts
Math 7/Advance
Solving Equations
Ch. 2
1A, 1B, 1C, 2E,
13D, 15A, 15B
Ch. 3
1B, 2A, 2B, 2E,
14A
Ch. 4, Ch. 10
1A, 2C, 2G, 4B, 4C,
5A, 7A, 11B, 13C,
13D, 14A, 14B
Ch. 10
2C, 2E, 14A, 15A, 15B
Math 7/Advance
1st 3 weeks
2nd 3 weeks
3rd 3 weeks
4th 3 weeks
5th 3 weeks
6th 3 weeks
Percents and Decimals
Plane Geometry
(Part 2)
Data Analysis and
Statistics
Probability and
Statistics
Problem Solving
Linear Functions and
Equations
Plane Geometry (Part 1)
Solid Geometry
TEKS
Resource:
Passport to
Math Book2
Ch. 7, Ch. 8
2A, 2B, 2F, 2G, 3A, 4A
4B, 6A, 6B, 6D, 7A, 7B,
9A, 11B, 13A, 13C, 14A,
15A, 15B
Ch. 8, Ch.9
4A, 4B, 4C, 6C, 8A,
8B, 8C, 9A, 11A,
13A, 13C, 15A, 15B
TAKS LEVEL
REVIEW
Ch. 5, Ch. 11
2F, 2G, 4C, 10A,
11A, 11B, 12A,
12B, 13A, 13B,
13C, 14A, 15B
Ch. 11
2F, 2G, 4C, 10A,
11A, 11B, 12A,
12B, 13A, 13B,
13C, 14A, 15B
13A, 13B, 13C, 13D,
14A, 14B, 15A, 15C
Ch. 12
2C, 2F, 4C, 5A, 13B,
14A, 15A, 15B
Basic Math/Problem Solving Strategies (Approximate Time: 3 weeks) 1st 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Select and use appropriate
operations to solve problems
and justify the selections
Determine the reasonableness
of a solution to a problem
Basic Operations: Decimals and Whole
Numbers
Passport to
Mathematics
Book 2
McDougal Littell
Ways to solve real world problems
1.1-1.9
Place Values
2F
2G
Problem Solving Strategies
Solve problems connected to
everyday experiences,
investigations in other
disciplines, and activities in
and outside of school
13A,
13B,
13C,
Communicates about
14A,
mathematics through informal 14B
and mathematical language,
representations, and models
Uses logical reasoning to
make conjectures and verify
conclusions
15A
15B
TEKSING with
TAKS
DeBorde/
Thompson
1, 6
Number Relationships (Approximate Time: 3 weeks) 2ND 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Compare and order integers
and positive rational numbers
Order of Operations
1A
Powers and Exponents
Convert between fractions,
decimals, whole numbers, and 1B
percents mentally, on paper,
or with a calculator
Simplify numerical
expressions involving order
of operations and exponents
Select tools such as real
objects, manipulatives,
paper/pencil, and technology
or techniques such as mental
math, estimation, and number
sense to solve problems
2E
Number Patterns
• Divisibility
• Prime Factorization
Fractions in Simplest Form
A Division Model of Fractions
Greatest Common Factors
13D
The student uses logical
15A
reasoning to make conjectures 15B
and verify conclusions
Ordering Numbers on a Number Line
Passport to
Mathematics
Book 2
McDougal Littell
2.1-2.8
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 6
Fractions and Operations (Approximate Time: 3 weeks) 3rd 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Convert between fractions,
1B
decimals, whole numbers, and
percents mentally, on paper,
or with a calculator
Represent multiplication and
division situations involving
fractions and decimals with
concrete models, pictures,
words, and numbers
Use addition, subtraction,
multiplication, and division to
solve problems involving
fractions and decimals
Simplify numerical
expressions involving order
of operations and exponents
2A
Finding L C M
Mixed Numbers and Improper fractions
Add Subtraction Fractions with common
denominators
Dividing Fractions and Mixed Numbers
2E
Communicate mathematical
ideas using language, efficient 14A
tools, appropriate units, and
graphical, numerical,
physical, or algebraic
mathematical models
3.1-3.7
Adding subtracting Mixed Numbers
Distributive Property
2B
Passport to
Mathematics
Book 2
McDougal Littell
TEKSING with
TAKS
DeBorde/
Thompson
1, 6
Algebra and Integers (Approximate Time: 3 weeks) 4th 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Compare and order integers
Use models for integers and
connect the actions to algorithms
Determine the reasonableness of a
solution to a problem
1A
Patterns, Tables, and Expressions
2C
Scatter Plots and Coordinate
Planes
Passport to
Mathematics
Book 2
McDougal Littell
2G
Integers and Number Line
4.1-4.7
Adding Integers
Graph data to demonstrate
relationships such as conversions,
perimeter, and area
Describe the relationship between
the terms in a sequence and their
positions in the sequence
4B
Solving Addition Equations
Solving Subtraction Equations
4C
Use concrete models to solve
5A
equations and use symbols to record
the actions
Select tools or techniques to solve
problems and verify conclusions
Communicates through informal
and mathematical language,
representations, and models
Subtracting Integers
13D
14A
14B
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 6
Algebra and Integers (Approximate Time: 3 weeks) 5th 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Use models to add, subtract,
multiply, and divide integers and
connect the actions to algorithms
2C
Absolute Value of a Number
All Operations of Integers
Simplify numerical expressions
involving order of operations and
exponents
2E
Communicate mathematical ideas
using language, efficient tools,
appropriate units, and graphical,
numerical, physical, or algebraic
mathematical models
14A
Make conjectures from patterns or
sets of examples and non-examples
15A
Validate his/her conclusions using
mathematical properties and
relationships
15B
Passport to
Mathematics
Book 2
McDougal Littell
Patterns using a Table of Values
10.1-10.8
Coordinate Plane (4 Quadrants)
Integers and Exponents
Scientific Notation with negative
powers.
TEKSING with
TAKS
DeBorde/
Thompson
1, 6
Ratios and Proportions (Approximate Time: 3 weeks) 6th 3 WEEKS – 1ST SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Use division to find unit rates and
ratios in proportional relationships
such as speed, density, price,
recipes, and student-teacher ratio
2D
Ratios and Rates
Solving Proportions
Passport to
Mathematics
Book 2
McDougal Littell
Word Problems Using Proportions
Estimate and find solutions to
application problems involving
proportional relationships such as
similarity, scaling, unit costs, and
related measurement units
Generate formulas involving
conversions, perimeter, area,
circumference, volume, and scaling
Use critical attributes to define
Writing Proportions
Similar Polygons
Scale Drawings
4A
6D
similarity
Use geometric concepts and
properties to solve problems in
fields such as art and architecture
Select tools or techniques to solve
problems and verify conclusions
Communicates through informal
and mathematical language,
representations, and models
6.1-6.7
3B
8C
13D
14A
15B
TEKSING with
TAKS
DeBorde/
Thompson
2, 6
Percents & Decimals/ Plane Geometry (part 1) (Approximate Time: 3 weeks) 1st 3 WEEKS – 2nd SEMESTER (1st page)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Assessments
Resources
TAKS
Objectives
The student is expected to:
Represent multiplication and
division situations involving
fractions and decimals with
concrete models, pictures, words,
and numbers
Use addition, subtraction,
multiplication
Select and use appropriate
operations to solve problems and
justify the selections
Determine the reasonableness of a
solution to a problem
Estimate and find solutions to
application problems involving
percent
Graph data to demonstrate
relationships in familiar concepts
such as conversions, perimeter,
area, circumference, volume, and
scaling
2A
Percents, Fractions, and Decimals
Finding Percent of a Number
Passport to
Mathematics
Book 2
McDougal Littell
Large and Small Percents
Percent EQUATION
7.1-7.7
8.1-8.3
2B
Circle Graphs
Simple Interest
2F
Percent Increase and Decrease
2G
Intersecting Lines and Angle
Measures
Transversal, Translations, and
Tessellations
3A
Circumference
Area of Parallelogram, Trapezoid,
and Circle
4B
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 3, 4, 6
Percents & Decimals/ Plane Geometry (part 1) (Approximate Time: 3 weeks) 1st 3 WEEKS – 2nd SEMESTER (2nd page)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Assessments
Resources
TAKS
Objectives
The student is expected to:
Use angle measurements to classify
6A
pairs of angles as complementary or
supplementary
Use properties to classify shapes
including triangles, quadrilaterals,
pentagons, and circles
6B
Use critical attributes to define
similarity
6D
Percents, Fractions, and Decimals
Finding Percent of a Number
Passport to
Mathematics
Book 2
McDougal Littell
Large and Small Percents
Percent EQUATION
7.1-7.7
8.1-8.3
Circle Graphs
Locate and name points on a
coordinate plane using ordered
pairs of integers
Graph translations on a coordinate
plane
Simple Interest
Percent Increase and Decrease
7A
Intersecting Lines and Angle
Measures
7B
Transversal, Translations, and
Tessellations
Circumference
Estimate measurements and solve
application problems involving
length (including perimeter and
circumference), area, and volume
9A
Area of Parallelogram, Trapezoid,
and Circle
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 3, 4, 6
Plane Geometry (part 2) & Solid Geometry (Approximate Time: 3 weeks) 2nd 3 WEEKS – 2nd SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Generate formulas involving
conversions, perimeter, area,
circumference, volume, and scaling
Graph data to demonstrate
relationships in familiar concepts
such as conversions, perimeter,
area, circumference, volume, and
scaling
Describe the relationship between
the terms in a sequence and their
positions in the sequence
4A
Area of Quadrilaterals:
Parallelogram and Trapezoid
Passport to
Mathematics
Book 2
McDougal Littell
4B
The Pythagorean Theorem
8.4-8.8
9.1-9.7
Characteristics of Polyhedrons
Spatial Visualization
4C
Surface Area of Prisms and
Cylinders
Volume of Prisms and Cylinders
Use properties to classify solids,
including pyramids, cones, prisms,
and cylinders
6C
Sketch a solid when given the top,
side, and front views
8A
Make a net (two-dimensional
model) of the surface area of a solid
8B
Use geometric concepts and
properties to solve problems in
fields such as art and architecture
Area of Triangles
8C
TEKSING with
TAKS
DeBorde/
Thompson
2,3, 4, 6
Plane Geometry (part 2) & Solid Geometry (Approximate Time: 3 weeks) 2nd 3 WEEKS – 2nd SEMESTER (2nd page continued)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Assessments
Resources
TAKS
Objectives
The student is expected to:
Estimate measurements and solve
application problems involving
length (including perimeter and
circumference), area, and volume
Select and use an appropriate
representation for presenting
collected data and justify the
selection
Identify and apply mathematics to
everyday experiences, to activities
in and outside of school, with other
disciplines, and with other
mathematical topics
Select or develop an appropriate
problem-solving strategy from a
variety of different types to solve a
problem
Make conjectures from patterns or
9A
Area of Quadrilaterals:
Parallelogram and Trapezoid
The Pythagorean Theorem
11A
Passport to
Mathematics
Book 2
McDougal Littell
8.4-8.8
9.1-9.7
Characteristics of Polyhedrons
Spatial Visualization
13A
Surface Area of Prisms and
Cylinders
Volume of Prisms and Cylinders
13C
15A
sets of examples and non-examples
Validate his/her conclusions using
mathematical properties and
relationships
Area of Triangles
15B
TEKSING with
TAKS
DeBorde/
Thompson
2,3, 4, 6
Data Analysis and Statistics (Approximate Time: 3 weeks) 3rd 3 WEEKS – 2nd SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Select and use appropriate operations
to solve problems and justify the
selections
Determine the reasonableness of a
solution to a problem
Describe the relationship between the
terms in a sequence and their
positions in the sequence
Construct sample spaces for
compound events (dependent and
independent)
2F
Describe a set of data using mean,
median, mode, and range
Choose among mean, median, mode,
or range to describe a set of data and
justify the choice for a particular
situation
Frequency Table
5.1-5.6
2G
Histogram
4C
Box-n-Whisker Plot
10A
Using appropriate graph
Misleading graph
Select and use an appropriate
11A
representation for presenting
collected data and justify the selection
Make inferences and convincing
arguments based on an analysis of
given or collected data
Central Tendency
Passport to
Mathematics
Book 2
McDougal Littell
Mean, Median, Mode, and Range
of data
11B
12A
12B
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 5, 6
Data Analysis and Statistics (Approximate Time: 3 weeks) 3rd 3 WEEKS – 2nd SEMESTER (PART 2 continued)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Identify and apply mathematics to
everyday experiences, to activities in
and outside of school, with other
disciplines, and with other
mathematical topics
Use a problem-solving model that
incorporates understanding the
problem, making a plan, carrying out
the plan, and evaluating the solution
for reasonableness
Select or develop an appropriate
problem-solving strategy from a
variety of different types to solve a
problem
Communicate mathematical ideas
using language, efficient tools,
appropriate units, and graphical,
numerical, physical, or algebraic
mathematical models
Validate his/her conclusions using
mathematical properties and
relationships
13A
13B
Central Tendency
Passport to
Mathematics
Book 2
McDougal Littell
Frequency Table
5.1-5.6
Mean, Median, Mode, and Range
of data
Histogram
Box-n-Whisker Plot
Using appropriate graph
Misleading graph
13C
14A
15B
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 5, 6
Probability and Statistics (Approximate Time: 3 weeks) 4th 3 WEEKS – 2nd SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Select and use appropriate operations
to solve problems and justify the
selections
Determine the reasonableness of a
solution to a problem
Describe the relationship between the
terms in a sequence and their
positions in the sequence
Construct sample spaces for
compound events (dependent and
independent)
2F
Permutations and Probability
2G
Describe a set of data using mean,
median, mode, and range
Choose among mean, median, mode,
or range to describe a set of data and
justify the choice for a particular
situation
Passport to
Mathematics
Book 2
McDougal Littell
Combinations and Probability
11.1-11.7
Making Predictions
4C
Expected Value
Venn Diagrams and Probability
10A
Select and use an appropriate
11A
representation for presenting
collected data and justify the selection
Make inferences and convincing
arguments based on an analysis of
given or collected data
Counting Techniques
11B
12A
12B
Mean, Median, and Mode
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 5, 6
Probability and Statistics (Approximate Time: 3 weeks) 4th 3 WEEKS – 2nd SEMESTER (PART 2 continued)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Identify and apply mathematics to
everyday experiences, to activities in
and outside of school, with other
disciplines, and with other
mathematical topics
13A
Counting Techniques
Permutations and Probability
Passport to
Mathematics
Book 2
McDougal Littell
Combinations and Probability
11.1-11.7
Use a problem-solving model that
incorporates understanding the
problem, making a plan, carrying out
the plan, and evaluating the solution
for reasonableness
Select or develop an appropriate
problem-solving strategy from a
variety of different types to solve a
problem
Communicate mathematical ideas
using language, efficient tools,
appropriate units, and graphical,
numerical, physical, or algebraic
mathematical models
Validate his/her conclusions using
mathematical properties and
relationships
Making Predictions
13B
Expected Value
Venn Diagrams and Probability
Mean, Median, and Mode
13C
14A
15B
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 5, 6
Problem-Solving / TAKS Review (Approximate Time: 3 weeks) 5th 3 WEEKS – 2nd SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Represent and use numbers in a
variety of equivalent forms
Adds, subtracts, multiplies, or
divides to solve problems and
justify solutions
1A-15B
Number, Operation, Quantitative
Reasoning
Patterns, Relationships, and
Algebraic Thinking
Geometry and Spatial Reasoning
Solve problems involving
proportional relationships
Represent a relationship in
numerical, geometrical, verbal, and
symbolic form
Use equations to solve problems
Compare and classify shapes and
solids using geometric vocabulary
and properties
Use coordinate geometry to
describe location on a plane
Use geometry to model and
describe physical world
Solves application problems
involving estimation and
measurement
Measurement
Probability and Statistics
Processes and Mathematical Tools
Passport to
Mathematics
Book 2
McDougal Littell
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 3,
4, 5, 6
Problem-Solving / TAKS Review (Approximate Time: 3 weeks) 5th 3 WEEKS – 2nd SEMESTER (2nd page)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Recognize that a physical or
mathematical model can be used to
describe the probability of real-life
events
Understand that the way a set of
data is displayed influences its
interpretation
Use measures of central tendency
and range to describe a set of data
Solve problems connected to
everyday experiences,
investigations in other disciplines,
and activities in and outside of
school
Communicate about mathematics
through informal and mathematical
language, representations, and
models
Use logical reasoning to make
conjectures and verify solutions
1A-15B
Number, Operation, Quantitative
Reasoning
Patterns, Relationships, and
Algebraic Thinking
Geometry and Spatial Reasoning
Measurement
Probability and Statistics
Processes and Mathematical Tools
Passport to
Mathematics
Book 2
McDougal Littell
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 3,
4, 5, 6
Linear Functions and Equations (Approximate Time: 3 weeks) 6th 3 WEEKS – 2nd SEMESTER
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Use models to add, subtract,
multiply, and divide integers and
connect the actions to algorithms
Select and use appropriate
operations to solve problems and
justify the selections
Describe the relationship between
the terms in a sequence and their
positions in the sequence
2C
Equations and Variables
Inverse Operations
2F
Addition and Subtraction
Equations
Multiplication and Division
Equations
4C
Two-Step Equations
Linear Functions
Use concrete models to solve
equations and use symbols to record 5A
the actions
Use a problem-solving model that
incorporates understanding the
problem, making a plan, carrying
out the plan, and evaluating the
solution for reasonableness
13B
Communicate mathematical ideas
using language, efficient tools,
appropriate units, and graphical,
numerical, physical, or algebraic
mathematical models
14A
Passport to
Mathematics
Book 2
McDougal Littell
12.1-12.6
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 6
Linear Functions and Equations (Approximate Time: 3 weeks) 6th 3 WEEKS – 2nd SEMESTER (PART 2 continued)
Objectives/concepts
TEKS
Topics (not in sequential order)
Suggested
Resources
Assessments
TAKS
Objectives
The student is expected to:
Make conjectures from patterns or
sets of examples and non-examples
Validate his/her conclusions using
mathematical properties and
relationships
15A
Equations and Variables
Inverse Operations
15B
Addition and Subtraction
Equations
Multiplication and Division
Equations
Two-Step Equations
Linear Functions
Passport to
Mathematics
Book 2
McDougal Littell
12.1-12.6
TEKSING with
TAKS
DeBorde/
Thompson
1, 2, 6