NC Common Core Middle School Math Compacted Curriculum
Model 1 Unit Overview (3:2)
In this model the compacting begins in the seventh grade.
 6th Grade:
6th grade standards
th
 7 Grade:
7th grade standards and some of 8th grade
 8th Grade:
Remaining 8th grade standards and Common Core Math I Standards for
Assessment
The purpose of this document is to give an overview of one possible way the standards for
Compacting Model 1 (3:2) could be grouped into units. The units are not in a specific order nor are
they numbered. The LEA should decide order and number of days per unit. Please note that some
standards have been intentionally placed in multiple units.
The Standards for Mathematical Practice should be infused throughout all units:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning
Compacting Model 1 (3:2)
Unit Overview
DRAFT
1
6th Grade
Unit Name
Understanding Ratios and Rates
Reasoning Proportionally with Percents
Multi-digit Computation and Finding
Common Factors
Clusters
Understand ratio concepts and use ratio
reasoning to solve problems.
Represent and analyze quantitative
relationship between dependent and
independent variables.
Understand ratio concepts and use ratio
reasoning to solve problems.
Compute fluently with multi-digit numbers
and find common factors and multiples.
Apply and extend previous understandings of
arithmetic to algebraic expressions.
Standards
6.RP.1
6.RP.2
6.RP.3a, b, d
6.EE.9
6.RP.3c
6.NS.2
6.NS.3
6.NS.4
6.EE.3
Dividing Fractions
Apply and extend previous understandings of
multiplication and division to divide fractions
by fractions.
6.NS.1
Extending the Number System
Apply and extend previous understandings of
numbers to the system of rational numbers.
Relationships in the Coordinate Plane
Apply and extend previous understandings of
numbers to the system of rational numbers.
Solve real-world and mathematical problems
involving area, surface area and volume.
Apply and extend previous understandings of
arithmetic to algebraic expressions.
6.NS.5
6.NS.6a, c
6.NS.7a, b, c, d
6.NS.6b, c
6.NS.8
6.G.3
Algebraic Expressions
Equations and Inequalities
Reason about and solve one-variable
equations and inequalities.
Problem Solving with Area in 2Dimensional Shapes
Problem Solving with Volume and
Surface Area
Statistical Investigations and Sampling
Solve real-world and mathematical problems
involving area, surface area, and volume.
Solve real-world and mathematical problems
involving area, surface area, and volume.
Develop understanding of statistical
variability.
Analyzing Data
Summarize and describe distributions.
2
Compacting Model 1 (3:2)
Unit Overview
DRAFT
6.EE.1
6.EE.2a, b, c
6.EE.3
6.EE.4
6.EE.5
6.EE.6
6.EE.7
6.EE.8
6.G.1
6.G.3
6.G.2
6.G.4
6.SP.1
6.SP.2
6.SP.3
6.SP.4
6.SP.5a, b, c, d
7th Grade
Unit Name
Proportional Reasoning and Relationships
Proportional Reasoning with Percents
Understanding Positive and Negative
Rational Number Operations
Solving Inequalities
Solving Equations
Area and Volume
Clusters
Standards
Analyze proportional relationships and use
them to solve real-world and mathematical
problems.
Draw, construct, and describe
geometrical figures and describe the
relationships between them.
Understand the connections between
proportional relationships, lines, and
linear equations.
Analyze proportional relationships and use
them to solve real-world and mathematical
problems.
Solve real-life and mathematical problems
using numerical and algebraic expressions
and equations.
Apply and extend previous understandings
of operations with fractions to add, subtract,
multiply, and divide rational numbers.
Solve real-life and mathematical problems
using numerical and algebraic expressions
and equations.
Use properties of operations to generate
equivalent expressions.
Solve real-life and mathematical problems
using numerical and algebraic expressions
and equations.
Use properties of operations to generate
equivalent expressions.
Solve real-life and mathematical problems
using numerical and algebraic expressions
and equations.
Solve real-life and mathematical problems
involving angle measure, area, surface area,
and volume.
Analyze and solve linear equations and
pairs of simultaneous linear equations.
Draw, construct, and describe geometrical
figures and describe the relationships
between them.
Solve real-life and mathematical problems
involving angle measure, area, surface area,
and volume.
Solve real-world and mathematical
problems involving volume of cylinders,
cones, and spheres.
Work with radicals and integer exponents.
7.RP.1
7.RP.2a, b, c, d
3
Compacting Model 1 (3:2)
Unit Overview
DRAFT
7.G.1
8.EE.5
8.EE.6
7.RP.3
7.EE.3
7.NS.1a, b, c, d
7.NS.2a, b, c, d
7.NS.3
7.EE.3
7.EE.1
7.EE.2
7.EE.4b
7.EE.1
7.EE2
7.EE.3
7.EE.4a
7.G.5
8.EE.7a, b
7.G.3
7.G.4
7.G.6
8.G.9
8.EE.2
7th Grade
Unit Name
Pythagorean Theorem
Sampling, Inferences and Comparing
Populations
Probability of Simple Events
Probability of Compound Events
Relationships in Geometric Figures
Understanding Congruence through
Transformations
Understanding Similarity through
Transformations
Clusters
Know that there are numbers that are not
rational, and approximate them by rational
numbers.
Understand and apply the Pythagorean
Theorem.
Work with radicals and integer exponents.
Use coordinates to prove simple geometric
theorems algebraically.
Use random sampling to draw inferences
about a population.
Draw informal comparative inferences
about two populations.
Investigate chance processes and develop,
use, and evaluate probability models.
Investigate chance processes and develop,
use, and evaluate probability models.
Draw, construct, and describe
geometrical figures and describe the
relationships between them.
Solve real-life and mathematical problems
involving angle measure, area, surface area,
and volume.
Understand congruence and similarity using
physical models, transparencies, or
geometry software.
Analyze and solve linear equations and
pairs of simultaneous linear equations.
Draw, construct, and describe geometrical
figures and describe the relationships
between them.
Understand congruence and similarity using
physical models, transparencies, or
geometry software.
Draw, construct, and describe
geometrical figures and describe the
relationships between them.
Understand congruence and similarity
using physical models, transparencies,
or geometry software.
4
Compacting Model 1 (3:2)
Unit Overview
DRAFT
Standards
8.NS.1
8.NS.2
8.G.6
8.G.7
8.G.8
8.EE.2
G-GPE.6
G-GPE.7
7.SP.1
7.SP.2
7.SP.3
7.SP.4
7.SP.5
7.SP.6
7.SP.7a, b
7.SP.8a, b, c
7.G.2
7.G.5
8.G.5
8.EE.7b
7.G.2
8.G.1a, b, c
8.G.2
8.G.3
7.G.1
7.G.2
8.G.3
8.G.4
8.G.5
8th Grade
Unit Name
Working with Exponents
One-Variable Equations and Inequalities
Systems of Equations and Inequalities
Clusters
Work with radicals and integer exponents.
Extend the properties of exponents to rational
exponents.
Create equations that describe numbers or
relationships.
Understand solving equations as a process of
reasoning and explain the reasoning.
Solve equations and inequalities in one
variable.
Analyze and solve linear equations and pairs
of simultaneous linear equations.
Create equations that describe numbers or
relationships
Solve systems of equations.
Represent and solve equations and
inequalities graphically.
Area and Volume
Function Introduction
Linear Functions
Explain volume formulas and use them to
solve problems.
Reason quantitatively and use units to solve
problems.
Define, evaluate, and compare functions.
Use functions to model relationships between
quantities.
Understand the concept of a function and use
function notation.
Define, evaluate, and compare functions.
Use functions to model relationships between
quantities.
Interpret the structure of expressions.
Create equations that describe numbers or
relationships.
Represent and solve equations and
inequalities graphically.
Build a function that models a relationship
between two quantities.
Build new functions from existing functions.
Interpret functions that arise in applications in
terms of the context.
5
Compacting Model 1 (3:2)
Unit Overview
DRAFT
Standards
8.EE.1
8.EE.3
8.EE.4
N-RN.1
N-RN.2
A-CED.1
A-CED.4
A-REI .1
A-REI.3
8.EE.8a, b, c
A-CED.3
A-REI.5
A-REI.6
A-REI.10
A-REI.11
A-REI.12
G-GMD.1
G-GMD.3
8.F.1
8.F.5
F-IF.1
F-IF.2
F-IF.3
8.F.2
8.F.3
8.F.4
A-SSE.1a, b
A-CED.2
A-REI.10
F-BF.1a, b
F-BF.2
F-BF.3
F-IF.4
F-IF.5
F-IF.6
8th Grade
Unit Name
Linear Relationship in Geometric Figures
Exponential Functions
Clusters
Standards
Analyze functions using different
representations.
Construct and compare linear and exponential
models and solve problems.
Interpret expressions for functions in terms of
the situation they model.
Define, evaluate, and compare functions.
Use functions to model relationships between
quantities.
Experiment with transformations in the plane.
Use coordinates to prove simple geometric
theorems algebraically.
Define, evaluate, and compare functions.
Interpret the structure of expressions.
Create equations that describe numbers or
relationships.
Represent and solve equations and
inequalities graphically.
Build a function that models a relationship
between two quantities.
Build new functions from existing functions.
Interpret functions that arise in applications in
terms of the context.
F-IF.7
F-IF.9
F-LE.1a, b
F-LE.2
F-LE.5
Analyze functions using different
representations.
Construct and compare linear and exponential
models and solve problems.
Working with Polynomials
Quadratic Functions
Interpret expressions for functions in terms of
the situation they model.
Perform arithmetic operations on
polynomials.
Interpret the structure of expressions.
Define, evaluate, and compare functions.
Interpret the structure of expressions.
Write expressions in equivalent forms to solve
problems.
Create equations that describe numbers or
relationships.
Construct and compare linear and exponential
models and solve problems.
Interpret functions that arise in applications in
terms of the context.
6
Compacting Model 1 (3:2)
Unit Overview
DRAFT
8.F.3
8.F.4
G-CO.1
G-GPE.4
G-GPE.5
8.F.2
A-SSE.1a, b
A-CED.2
A-REI.10
F-BF.1a, b
F-BF.2
F-BF.3
F-IF.4
F-IF.5
F-IF.6
F- IF.7e
F-IF.8a
F-IF.9
F-LE.1a, c
F-LE.2
F-LE.3
F-LE.5
A-APR.1
A-SSE.2
8.F.2
A-SSE.1a, b
A-SSE.3a
A-CED.2
F-LE.3
F-IF.4
8th Grade
Unit Name
Clusters
Analyze functions using different
representations.
Descriptive Statistics
Summarize, represent, and interpret data on a
single count or measurement variable.
Bivariate Data
Investigate patterns of association in bivariate
data.
Summarize, represent, and interpret data on
two categorical and quantitative variables.
Interpret linear models.
7
Compacting Model 1 (3:2)
Unit Overview
DRAFT
Standards
F-IF.7a
F-IF.8b
F-IF.9
S-ID.1
S-ID.2
S-ID.3
8.SP.1
8.SP.2
8.SP.3
8.SP.4
S-ID.5
S-ID.6a, b, c
S-ID.7
S-ID.8
S-ID.9