7th Grade Mathematics Curriculum Map
Table of Contents
Pre-Algebra
Quarter 1
Unit 1: Ratios and Proportions
Unit 2: Rational Numbers
Quarter 2
Unit 3: Equivalent Expressions
Unit 4: Real Life Algebra
Quarter 3
Unit 5: Measures of Central Tendency
Unit 6: Probability
Quarter 4
Unit 7: Drawing Geometric Figures
Unit 8: Area and Volume
Algebra
Quarter 1
Unit 1: Real Numbers
Unit 2: Radicals and Exponents
Quarter 2
Unit 3: Real Life Expressions and Algebra
Unit 4: Ratios and Proportions
Quarter 3
Unit 5: Measures of Central Tendency
Unit 6: Probability
Quarter 4
Unit 7: Drawing Geometric Figures
Unit 8: Congruence and Similarity
*In the resources section (7) refers to Holt Middle School Math Course 2 and (8) refers to Holt Middle
School Math Course 3.
Ratios and Proportions
Approximate Duration of Study: 4 weeks
CCS
7.RP.1
Essential
Question
How do we find
the unit rate of a
given situation?
How do we
analyze
proportional
relationships?
Concept
Unit Rate
Skills
When to Study: Quarter 1
Assessments
Compute the Unit Rate
Unit Item Bank
Compute the Unit Rate with
Unit 1 Pre-Test
fraction ratios
7.RP.2
Equivalent
Find equivalent fractions with a
Unit Item Bank
Ratios
common denominator
Simplify ratios to lowest terms
Evaluate cross products for
equality
Constant
Determine the rate of change
Unit Item Bank
Proportionality
given a linear graph, equation,
diagram, table, or verbal
description
Representation
Represent proportional
Unit Item Bank
of Proportion
relationships with equations
Slope as a
Explain what a point on a linear
Unit Item Bank
model for
graph represents in context
Proportions
Explain the significance of (0,0)
and (1, r)
7. RP.3 How do we use
Percent
Calculate simple interest
Unit Item Bank
proportions to
Problems
Figure percent
solve real world
increase/decrease
problems?
Determine an appropriate tip
Calculate commission
Multi-Step Ratio
Find the total cost of items after
Unit Item Bank
Problems
tax
Unit 1 Post-Test
Find the total cost after percent
change
Vocabulary: Rate, Unit Rate, Ratio, Proportion, Slope, Linear, Expression, Equation, Commission, Tax
Helpful Strategies and Resources
7-2 (8)
3-8, 3-9, 5-1 (7)
7-1 (8)
11-2 (8)
Using the rate of change to
write an equation
r is the rate of change
6-5, 6-6 (7)
8-6 (8)
8-4, 8-6 (8)
Rational Numbers
Approximate Duration of Study: 4 weeks
CCS
7.NS.1
7.NS.3
Essential Question
How can we apply notions of
positive and negative numbers
in real life situations?
When to Study: Quarter 1
Concept
Adding
Rational
Numbers
Subtracting
Rational
Numbers
7.NS.2
7.NS.3
How can we extend our
knowledge of positive and
negative numbers to include
multiplication and division?
Multiplying
Rational
Numbers
Dividing
Rational
Numbers
Skills
Locate Rational Numbers on a
number line
Assessments
Unit Item Bank
Unit 2 Pre-Test
Helpful Strategies and Resources
3-1 (7)
Locate a solution to an addition
problem on a number line
Describe situations when
opposites combine to make zero
Add Rational Numbers
Locate a solution to a
subtraction problem on a
number line
Understand subtract means add
the opposite
Subtract Rational Numbers
Multiply Rational Numbers using
sign rules
Unit Item Bank
3-3 (7)
Unit Item Bank
3-3 (7)
Unit Item Bank
Unit Item Bank
3-3, 4-2, 4-10, 4-11 (7)
3-4 (7)
Unit Item Bank
3-4 (7)
Unit Item Bank
3-4, 4-2, 4-10, 4-11 (7)
3-5, 4-3, 4-7 (7)
Interpret products in real world
contexts
Divide Rational Numbers using
sign rules
Unit Item Bank
Unit Item Bank
Word Problems from 3-5, 4-3,
4-7 (7)
3-5, 4-4, 4-5, 4-8 (7)
Know equivalent forms of a
negative rational number
Unit Item Bank
3-8, 3-9 (7)
Interpret quotients in real world
contexts
Convert a fraction to a decimal
using long division
Unit Item Bank
Word Problems from 3-5, 4-4,
4-5, 4-8 (7)
3-9 (7)
Unit Item Bank
Unit Item Bank
Unit 2 PostTest
Vocabulary: Rational Numbers, Absolute Value, Opposite, Additive Inverse, Terminating Decimal, Repeating Decimal
Equivalent Expressions
Approximate Duration of Study: 4 weeks
When to Study: Quarter 2
CCS
Essential
Question
Concept
7.EE.1
How can
knowledge of like
terms help in
solving equations?
Manipulation of
linear
expressions
Combining like terms
Unit Item Bank
Unit 3 Pre-Test
What are like terms?
2-9 (7)
1-6 (8)
Distributive
Property
Expression
Representation
Factoring and expanding a linear
expression
Rewriting expressions in
different forms
Unit Item Bank
Distributive Property 1-6 (8)
Factoring
Properties (commutative,
associative, distributive,
identity)
7.EE.2
Skills
How can we
represent
problem
situations in
different ways?
Vocabulary: Linear Expression, Equivalent, Coefficient, Like Term, Distributive Property
Assessments
Unit Item Bank
Unit 3 Post-Test
Helpful Strategies and Resources
Real Life Algebra
Approximate Duration of Study: 4 weeks
CCS
7.EE.3
Essential
Question
What are ways to
make solving
equations easier?
Concept
How do we make
real world
situations into
math problems
and solve them?
Skills
Assessments
Helpful Strategies and Resources
Converting
Numbers
Rewrite fractions, decimals, and
percents as each other
Unit Item Bank
Unit 4 Pre-Test
6-1 (7)
8-1 (8)
Multi-Step
Equations
Solving two-step equations
Unit Item Bank
Solving multi-step equations
(distributive property,
combining like terms, fractions)
Estimate solutions to check for
reasonableness
Write and solve a linear
equation that represents a
situation
Unit Item Bank
11-1 (7)
10-1 (8)
11-2 (7)
10-2 (8)
Compare the algebraic solution
to the arithmetic solution
Write and solve a linear
inequality that represents a
situation (Note rules for
multiplying and dividing by a
negative rational number)
Graph inequality solutions on a
number line
Unit Item Bank
Estimating
7.EE.4
When to Study: Quarter 2
Writing and
Solving
Equations
Writing and
Solving
Inequalities
Vocabulary: Equation, Inequality
Unit Item Bank
Unit Item Bank
Word Problems from 2-7, 2-8,
11-1 (7)
Word Problems from 10-1 (8)
Unit Item Bank
11-4, 11-5, 11-6, 11-7 (7)
1-5, 2-5, 3-7, 10-4 (8)
Unit Item Bank
Unit 4 Post-Test
11-4, 11-5, 11-6, 11-7 (7)
1-5, 2-5, 3-7, 10-4 (8)
Drawing Geometric Figures
Approximate Duration of Study: 4 weeks
CCS
7.G.1
7.G.2
7.G.3
Essential
Question
Why are scale
drawings useful?
How can we make
a visual
representation of
geometric
concepts?
Concept
Scale Drawings
Drawing
Geometric
Shapes
When to Study: Quarter 4
Skills
Assessments
Helpful Strategies and Resources
Compute actual length and area
from a scale drawing
Unit Item Bank
Unit 5 Pre-Test
5-7 (7)
7-7 (8)
Create a new scale drawing with
a new scale factor from an
original scale drawing
Draw basic geometric shapes
(triangles and quadrilaterals)
Unit Item Bank
5-7 (7)
7-7 (8)
Unit Item Bank
Toothpicks
7-6, 7-7 (7)
5-4 (8)
Construct triangles from three
angle measurements or three
side lengths
Determine what conditions
make a unique triangle
Identify the 2-D shapes created
by slicing right rectangular
prisms and pyramids
Unit Item Bank
Toothpicks
Unit Item Bank
SSS – unique, AAA – not
unique
Play-doh
How are two2-Dimensional
Unit Item Bank
dimensional and
Shapes
Unit 5 Post-Test
three-dimensional
shapes related?
Vocabulary: Geometric Figure, Scale Factor, Protractor, Right Rectangular Prism, Right Rectangular Pyramid
Area and Volume
Approximate Duration of Study: 4 weeks
CCS
7.G.4
7.G.5
7.G.6
Essential
Question
How can we
calculate space
taken up by a
circle?
How can
relationships
between angles
be used to solve
problems?
Why do we need
geometric
concepts to solve
real world
problems?
Concept
Circles
Angles
Area
Surface Area
When to Study: Quarter 4
Skills
Assessments
Helpful Strategies and Resources
Calculate the circumference of a
circle
Unit Item Bank
Unit 6 Pre-Test
8-3 (7)
Give the informal derivation of
the area formula using
circumference
Calculate the area of a circle
Identify supplementary,
complementary, adjacent, and
vertical angles
Unit Item Bank
8-6 (7)
Unit Item Bank
Unit Item Bank
8-6 (7)
7-2, 7-3 (7)
5-1 (8)
Write and solve multi-step
equations to find unknown
angles in a figure
Solve real world problems
involving the area of triangles,
quadrilaterals, and other shapes
made up of these two
Unit Item Bank
7-8 (7)
Unit Item Bank
Word Problems from 8-4, 8-5
(7)
6-1, 6-2 (8)
Solve real world problems
Unit Item Bank
9-4 (7)
involving the surface area of
6-8 (8)
cubes and right prisms
(rectangular and triangular)
Volume
Solve real world problems
Unit Item Bank
9-2 (7)
involving the volume of cubes
Unit 6 Post-Test
6-6 (8)
and right prisms (rectangular
and triangular)
Vocabulary: Area, Circumference, Supplementary Angles, Complementary Angles, Vertical Angles, Adjacent Angles, Volume, Surface Area, Triangle,
Quadrilaterals (Square, Rectangle, Trapezoid, Parallelogram), Polygon, Cube, Right Rectangular Prism, Right Triangular Prism
Measures of Central Tendency
Approximate Duration of Study: 4 weeks
CCS
7.SP.1
7.SP.2
7.SP.3
7.SP.4
Essential
Question
How can we
accurately
determine a
population’s
opinion?
How can we
accurately
determine a
population’s
opinion?
How can we
compare data
sets?
Concept
Random
Sampling
Techniques
Random
Sampling
Inferences
Data
Comparison
When to Study: Quarter 3
Skills
Assessments
Helpful Strategies and Resources
Understand statistics can be
used to gain information about
a population
Unit Item Bank
Unit 7 Pre-Test
4-1 (8)
Understand population
generalizations are only valid if
the sample is representative
Understand that random
sampling produces
representative samples
Draw inferences with an
unknown characteristic
Unit Item Bank
4-1 (8)
Unit Item Bank
4-1 (8)
Unit Item Bank
10-3 (7)
4-2 (8)
Gather multiple samples to
validate inferences
Unit Item Bank
Informally compare two data
sets
Unit Item Bank
10-3 (7)
4-2 (8)
Find and compare centers
Unit Item Bank
1-2 (7)
(mean, median, mode) of data
4-3 (8)
sets
Find and compare range and
Unit Item Bank
mean absolute deviation of data
Unit 7 Post-Test
sets
Vocabulary: Population, Random Sample, Mean, Median, Mode, Range, Mean Absolute Deviation, Quartile, Interquartile Range
Probability
Approximate Duration of Study: 4 weeks
CCS
7.SP.5
7.SP.6
7.SP.7
7.SP.8
Essential
Question
What determines
the likelihood of
an event?
Concept
Probability
Experimental
Probability
Theoretical
Probability
Compound
Events
When to Study: Quarter 3
Skills
Assessments
Helpful Strategies and Resources
Understand the spectrum of
near zero, near half, and near
one probability
Determine experimental
probability by gathering data
Unit Item Bank
Unit 8 Pre-Test
10-1 (7)
Unit Item Bank
10-2 (7)
9-2 (8)
Approximate relative frequency
given the experimental
probability
Determine theoretical
probability with equally likely
outcomes (a number cube)
Determine theoretical
probability with non-equally
likely outcomes (a number cube
with two 1’s)
Use lists, tables, and tree
diagrams to determine sample
space size and theoretical
probability of compound events
Simulate a compound event and
determine experimental
probability and relative
frequency
Use the fundamental counting
principle to determine
probabilities
Unit Item Bank
Unit Item Bank
10-4 (7)
9-4 (8)
Unit Item Bank
10-4 (7)
9-4 (8)
Unit Item Bank
10-4, 10-5 (7)
9-4, 9-5 (8)
Unit Item Bank
10-2 (7)
9-2 (8)
Unit Item Bank
Unit 8 Post-Test
Total Possible Outcomes
(multiply the number of
options for each choice)
Vocabulary: Probability, Experimental Probability, Theoretical Probability, Relative Frequency, Dependent Events, Independent Events, Fundamental
Counting Principle
7th Grade Algebra: Real Numbers
Approximate Duration of Study: 4 weeks
CCS
7.NS.1
7.NS.3
Essential Question
How can we apply notions of
positive and negative numbers
in real life situations?
When to Study: Quarter 1
Concept
Adding
Rational
Numbers
Subtracting
Rational
Numbers
7.NS.2
7.NS.3
How can we extend our
knowledge of positive and
negative numbers to include
multiplication and division?
Multiplying
Rational
Numbers
Dividing
Rational
Numbers
8.NS.1
What is the value of writing
Decimal
Skills
Locate Rational Numbers on a
number line
Assessments
Unit Item Bank
Unit 1 Pre-Test
Helpful Strategies and Resources
Holt Middle School Math
Locate a solution to an addition
problem on a number line
Describe situations when
opposites combine to make zero
Add Rational Numbers
Locate a solution to a
subtraction problem on a
number line
Understand subtract means add
the opposite
Subtract Rational Numbers
Multiply Rational Numbers using
sign rules
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Unit Item Bank
Holt Middle School Math
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Holt Middle School Math
Interpret products in real world
contexts
Divide Rational Numbers using
sign rules
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Know equivalent forms of a
negative rational number
Unit Item Bank
Interpret quotients in real world
contexts
Convert a fraction to a decimal
using long division
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Unit 1 PostTest
Unit Pre-Test
Student Notes: Converting
Convert fractions to decimal and
Unit Item Bank
8.NS.2
numbers in decimal form?
expansion
decimals to fractions
Unit Item Bank
How can we represent
numbers with decimal
expansions that don’t
Irrational
numbers
Identify if a number is rational or
irrational (ex. π, e) also know
that
is irrational (8.EE.2))
Unit Item Bank
Use square root symbol to
identify if a number is rational or
irrational
Unit Item Bank
Approximate irrational numbers
with a rational number
Unit Item Bank
Compare irrational numbers
using rational approximations
Unit Item Bank
Order irrational numbers using
rational approximations
Unit Item Bank
Locate irrational numbers on a
number line using rational
Unit Item Bank
terminate or repeat?
Rational
number
representatio
ns
fractions to decimal
Holt Middle School Math Course
3: 3-1
Enrichment: Converting percents
Student Notes: Identifying
irrational numbers
Holt Middle School Math Course
3: 3-10
Enrichment: Identify real
numbers
Student Notes: Identifying
irrational numbers
Holt Middle School Math Course
3: 3-10
Enrichment: Identify real
numbers
Student Notes: Approximating
irrational numbers
Extended Response: Farmer
Fencing Fiasco Part 1
Holt Middle School Math Course
3: 3-9
Enrichment: Simplify irrational
numbers (e.g.
, factor
method, perfect square method)
Student Notes:
Comparing/ordering irrationals
Extended Response: Farmer
Fencing Fiasco Part 2
Enrichment: -Student Notes:
Comparing/ordering irrationals
Enrichment: -Student Notes: Locating
irrationals on a number line
approximations
Holt Middle School Math Course
3: 3-9
Enrichment: Rationalizing square
roots
Estimate values of expressions
Unit Post-Test
Student Notes: Estimating values
with irrational numbers using
of expressions
Unit Item Bank
rational approximations
Holt Middle School Math Course
3: 3-9
Enrichment: Evaluating irrational
expressions
Vocabulary: Rational Numbers, Absolute Value, Opposite, Additive Inverse, Terminating Decimal, Repeating Decimal, Square Root, Rational Numbers,
Irrational Numbers
7th Grade Algebra: Radicals and Exponents
CCS
8.EE.1
8.EE.2
8.EE.3
Approximate Duration of Study: 4 Weeks
Essential Question
Concept
Skills
How can we
Positive
Multiply/Divide/Power
represent integer
exponents
to a Power exponents
exponents in multiple
with a common base
ways?
Negative
Represent negative
exponents
exponents in fraction
form
Multiply/Divide/Power
to a Power exponents
with a common base
with negative exponent
solutions
What is the
Evaluation of
Evaluate square roots of
relationship between roots
small perfect squares
exponents and roots?
How does our
decimal number
system relate to
powers of ten?
Assessments
Unit PreTest
Unit Item
Bank
Unit Item
Bank
Unit Item
Bank
Unit Item
Bank
Exponent
equations
Evaluate cube roots of
small perfect cubes
Solve x2 = p when p is a
rational number
Unit Item
Bank
Unit Item
Bank
Estimation of
numbers using
powers of ten
Solve x3 = p when p is a
rational number
Estimate a number using
a single digit times a
power of ten
Unit Item
Bank
Unit Item
Bank
Estimate how many
times bigger one such
number is than another
Unit Item
Bank
When to Study: Quarter 1
Helpful Strategies and Resources
Student Notes: Operations with exponents
Holt Middle School Math Course 3: 2-7
Enrichment: Monomial simplification
Student Notes: Negative exponents
Holt Middle School Math Course 3: 2-8
Enrichment: Monomials with negative exponents
Student Notes: Negative exponents operations
Enrichment: Negative exponent monomial
simplification
Student Notes: Evaluation of roots
Extended Response: The Block Patio
Holt Middle School Math Course 3: 3-8
Enrichment: Nth roots
Student Notes: Evaluation of roots
Enrichment: Nth roots
Student Notes: Solving exponent equations
Extended Response: The Picture Frame
Enrichment: Solving root equations
Student Notes: Solving exponent equations
Enrichment: Solving root equations
Student Notes: Estimating large and small numbers
Enrichment: Solving binomials squared
Student Notes: How many times bigger?
Extended Response: The Cost of China
Enrichment: Solving binomials cubed
CCS
8.EE.4
Essential Question
How can scientific
notation help us
understand big and
small numbers?
Concept
Scientific
notation
Skills
Express standard
notation in scientific
notation
Scientific
notation
operations
Vocabulary: Exponent, Cube Root, Scientific Notation
Express scientific
notation in standard
notation
Determine appropriate
units of measure given
scientific notation
Perform operations with
scientific notation and
standard notation
(mixed)
Interpret scientific
notation from
technology
Assessments
Unit Item
Bank
Unit Item
Bank
Unit Item
Bank
Helpful Strategies and Resources
Student Notes: Scientific notation
Holt Middle School Math Course 3: 2-9
Enrichment: Solving vertex form quadratics
Student Notes: Scientific notation
Holt Middle School Math Course 3: 2-9
Enrichment: Solving vertex form quadratics
Student Notes: Determining units of measure
Enrichment: Unit conversions
Unit Item
Bank
Student Notes: Scientific notation operations
Extended Response: The Trip to Mars
Enrichment: --
Unit PostTest
Unit Item
Bank
Student Notes: Scientific notation
Enrichment: --
7th Grade Algebra: Ratios and Proportions
Approximate Duration of Study: 4 weeks
CCS
7.RP.1
7.RP.2
Essential
Question
How do we find
the unit rate of a
given situation?
How do we
analyze
proportional
relationships?
Concept
Unit Rate
Equivalent
Ratios
Constant
Proportionality
Representation
of Proportion
Slope as a
model for
Proportions
7. RP.3
How do we use
proportions to
solve real world
problems?
Percent
Problems
Multi-Step Ratio
Problems
8.EE.5
What is the
relationship
between slope
and proportions?
Proportions and
unit rates
Skills
Compute the Unit Rate
Compute the Unit Rate with
fraction ratios
Find equivalent fractions with a
common denominator
Simplify ratios to lowest terms
Evaluate cross products for
equality
Determine the rate of change
given a linear graph, equation,
diagram, table, or verbal
description
Represent proportional
relationships with equations
Explain what a point on a linear
graph represents in context
Explain the significance of (0,0)
and (1, r)
Calculate simple interest
Figure percent
increase/decrease
Determine an appropriate tip
Calculate commission
Find the total cost of items after
tax
Find the total cost after percent
change
Graph proportional relationship
(y/x = a/b implies y = a/b * x)
When to Study: Quarter 2
Assessments
Helpful Strategies and Resources
Unit Item Bank
Unit 1 Pre-Test
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Unit 1 Post-Test
Unit Pre-Test
Unit Item Bank
Student Notes: Graphing
proportional relationships
Extended Response: Trading
8.EE.6
What is the
relationship
between slope
and proportions?
Slope
Interpret slope as the lowest
terms proportion in a
relationship (unit rate)
Unit Item Bank
Compare two different
representations of proportional
relationships (graph, table,
equation, story, etc.)
Unit Item Bank
Use similar triangles to prove
that the slope is the same
between any two points on a
non-vertical line (because we
assume that slope is welldefined)
Derive the slope-intercept form
of an equation through the
origin
Unit Item Bank
Derive the slope-intercept form
of an equation through a yintercept of b
Unit Item Bank
Unit Post-Test
Unit Item Bank
Quarter Project
Quarter Exam
Vocabulary: Rate, Unit Rate, Ratio, Proportion, Slope, Linear, Expression, Equation, Commission, Tax
Bananas
Enrichment: Graphing proportions
with a y-intercept
Student Notes: Slope as
proportion ratio
Enrichment: Negative slope and
proportions
Student Notes: Compare
proportion representations
Extended Response: Comparing
Race Cars
Enrichment: -Student Notes: Slope is the same
Enrichment: Slope formula
Student Notes: Slope-intercept
form
Enrichment: Equation given two
points
Student Notes: Slope-intercept
form
Enrichment: Equation given two
points
7th Grade Algebra: Real Life Expressions and Algebra
Approximate Duration of Study: 4 weeks
CCS
7.EE.1
7.EE.2
7.EE.3
Essential
Question
How can
knowledge of like
terms help in
solving equations?
How can we
represent
problem
situations in
different ways?
What are ways to
make solving
equations easier?
Concept
How do we make
real world
situations into
math problems
and solve them?
Skills
Assessments
Helpful Strategies and Resources
Manipulation of
linear
expressions
Combining like terms
Unit Item Bank
Unit 3 Pre-Test
Holt Middle School Math
Distributive
Property
Expression
Representation
Factoring and expanding a linear
expression
Rewriting expressions in
different forms
Unit Item Bank
Holt Middle School Math
Converting
Numbers
Rewrite fractions, decimals, and
percents as each other
Unit Item Bank
Unit 4 Pre-Test
Holt Middle School Math
Multi-Step
Equations
Solving two-step equations
Unit Item Bank
Holt Middle School Math
Solving multi-step equations
Estimate solutions to check for
reasonableness
Write and solve a linear
equation that represents a
situation
Unit Item Bank
Unit Item Bank
Holt Middle School Math
Compare the algebraic solution
to the arithmetic solution
Write and solve a linear
inequality that represents a
situation (Note rules for
multiplying and dividing by a
negative rational number)
Unit Item Bank
Estimating
7.EE.4
When to Study: Quarter 2
Writing and
Solving
Equations
Writing and
Solving
Inequalities
Unit Item Bank
Unit 3 Post-Test
Holt Middle School Math
Unit Item Bank
Unit Item Bank
Holt Middle School Math
8.EE.7
How do we
determine the
value of a
variable?
Multi-step
equations with
one variable
Vocabulary: Equation, Inequality
Graph inequality solutions on a
number line
Solve equations by combining
like terms and that require the
distributive property
Unit Item Bank
Unit 4 Post-Test
Unit Pre-Test
Unit Item Bank
Solve equations with infinite and
no solutions
Unit Item Bank
Give examples of equations with
one solution, no solution, and
infinite solutions
Unit Item Bank
Holt Middle School Math
Student Notes: Solving equations
algebraically
Student Notes: Algebraic word
problems
Extended Response: The Super
Sock Sale
Holt Middle School Math Course 3:
10-2 and 10-3
Enrichment: Solving equations
graphically
Student Notes: Infinite and no
solutions
Holt Middle School Math Course 3:
10-3
Enrichment: Solving absolute value
equations
Student Notes: Creating equations
Enrichment: --
7th Grade Algebra: Measures of Central Tendency
Approximate Duration of Study: 4 weeks
CCS
7.SP.1
7.SP.2
7.SP.3
7.SP.4
Essential
Question
How can we
accurately
determine a
population’s
opinion?
How can we
accurately
determine a
population’s
opinion?
How can we
compare data
sets?
Concept
Random
Sampling
Techniques
Random
Sampling
Inferences
Data
Comparison
When to Study: Quarter 3
Skills
Assessments
Helpful Strategies and Resources
Understand statistics can be
used to gain information about
a population
Unit Item Bank
Unit 7 Pre-Test
Holt Middle School Math
Understand population
generalizations are only valid if
the sample is representative
Understand that random
sampling produces
representative samples
Draw inferences with an
unknown characteristic
Unit Item Bank
Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Gather multiple samples to
validate inferences
Informally compare two data
sets
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Find and compare centers
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(mean, median, mode) of data
sets
Find and compare range and
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mean absolute deviation of data
Unit 7 Post-Test
sets
Vocabulary: Population, Random Sample, Mean, Median, Mode, Range, Mean Absolute Deviation, Quartile, Interquartile Range
7th Grade Algebra: Probability
Approximate Duration of Study: 4 weeks
CCS
7.SP.5
7.SP.6
Essential
Question
What determines
the likelihood of
an event?
Concept
Probability
Experimental
Probability
When to Study: Quarter 3
Skills
Understand the spectrum of
near zero, near half, and near
one probability
Determine experimental
probability by gathering data
Assessments
Helpful Strategies and Resources
Unit Item Bank
Unit 8 Pre-Test
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Approximate relative frequency
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given the experimental
probability
7.SP.7
Theoretical
Determine theoretical
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Probability
probability with equally likely
outcomes (a number cube)
Determine theoretical
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probability with non-equally
likely outcomes (a number cube
with two 1’s)
7.SP.8
Compound
Use lists, tables, and tree
Unit Item Bank
Events
diagrams to determine sample
space size and theoretical
probability of compound events
Simulate a compound event and
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determine experimental
probability and relative
frequency
Use the fundamental counting
Unit Item Bank
principle to determine
Unit 8 Post-Test
probabilities
Vocabulary: Probability, Experimental Probability, Theoretical Probability, Relative Frequency, Dependent Events, Independent Events, Fundamental
Counting Principle
7th Grade Algebra: Drawing Geometric Figures
Approximate Duration of Study: 6 weeks
CCS
7.G.1
7.G.2
7.G.3
7.G.4
7.G.5
Essential
Question
Why are scale
drawings useful?
How can we make
a visual
representation of
geometric
concepts?
How are twodimensional and
three-dimensional
shapes related?
How can we
calculate space
taken up by a
circle?
How can
relationships
between angles
be used to solve
Concept
Scale Drawings
Drawing
Geometric
Shapes
2-Dimensional
Shapes
Circles
Angles
When to Study: Quarter 4
Skills
Assessments
Helpful Strategies and Resources
Compute actual length and area
from a scale drawing
Create a new scale drawing with
a new scale factor from an
original scale drawing
Draw basic geometric shapes
(triangles and quadrilaterals)
Unit Item Bank
Unit 5 Pre-Test
Unit Item Bank
Holt Middle School Math
Construct triangles from three
angle measurements or three
side lengths
Determine what conditions
make a unique triangle
Identify the 2-D shapes created
by slicing right rectangular
prisms and pyramids
Unit Item Bank
Holt Middle School Math
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Holt Middle School Math
Calculate the circumference of a
circle
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Unit 6 Pre-Test
Holt Middle School Math
Give the informal derivation of
the area formula using
circumference
Calculate the area of a circle
Identify supplementary,
complementary, adjacent, and
vertical angles
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Holt Middle School Math
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Holt Middle School Math
Holt Middle School Math
Holt Middle School Math
toothpicks
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Unit 5 Post-Test
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problems?
7.G.6
Why do we need
geometric
concepts to solve
real world
problems?
Area
Surface Area
Volume
8.G.9
How can we
determine the
volume of
objects?
Volume
Write and solve multi-step
equations to find unknown
angles in a figure
Solve real world problems
involving the area of triangles,
quadrilaterals, and other shapes
made up of these two
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Holt Middle School Math
Unit Item Bank
Holt Middle School Math
Solve real world problems
involving the surface area of
cubes and right prisms
(rectangular and triangular)
Solve real world problems
involving the volume of cubes
and right prisms (rectangular
and triangular)
Know and apply the volume
formula for cylinders (V = πr2h)
Unit Item Bank
Holt Middle School Math
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Unit 6 Post-Test
Holt Middle School Math
Unit Pre-Test
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Student Notes: Volume of
cylinders
Holt Middle School Math Course 3:
6-6
Enrichment: Surface area of
cylinders
Know and apply the volume
Unit Item Bank
Student Notes: Volume of cones
formula for cones (V = 1/3 πr2h)
Holt Middle School Math Course 3:
6-7
Enrichment: Surface area of cones
Know and apply the volume
Unit Post-Test
Student Notes: Volume of spheres
formula for spheres (V = 4/3 πr3)
Unit Item Bank
Holt Middle School Math Course 3:
6-10
Enrichment: Surface area of
spheres
Vocabulary: Geometric Figure, Scale Factor, Protractor, Right Rectangular Prism, Right Rectangular Pyramid, Area, Circumference, Supplementary
Angles, Complementary Angles, Vertical Angles, Adjacent Angles, Volume, Surface Area, Triangle, Quadrilaterals (Square, Rectangle, Trapezoid,
Parallelogram), Polygon, Cube, Right Rectangular Prism, Right Triangular Prism, Cylinder, Cone, Sphere
7th Grade Algebra: Congruence and Similarity
CCS
8.G.1
8.G.2
8.G.3
Approximate Duration of Study: 2 Weeks
Essential Question
Concept
Skills
What effects do
Transformations
Verify experimentally
transformations have
that rotations,
on lines, segments,
reflections, and
and angles?
translations take lines to
lines, segments to
segments of same
length, angles to angles
of same measure, and
parallel lines to parallel
lines
What makes figures
Congruence
Understand that twocongruent?
dimensional figures are
congruent if a sequence
of rotations, reflections,
and translations takes
one to the other
Given two congruent
figures, describe the
series of rotations,
reflections, and
translations to take one
figure to the other
What effects do
Transformations
Describe the effect of
transformations have
translations, rotations,
on coordinates?
reflections, and dilations
on two-dimensional
figures using
coordinates
Assessments
Unit PreTest
Unit Item
Bank
When to Study: Quarter 4
Helpful Strategies and Resources
Student Notes: An experiment with transformations
Holt Middle School Math Course 3: 5-7
Enrichment: --
Unit Item
Bank
Student Notes: More experiments
Holt Middle School Math Course 3: 5-6
Enrichment: Congruence through equal
measurements
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Bank
Student Notes: More experiments
Enrichment: --
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Bank
Student Notes: Transformations on coordinates
Holt Middle School Math Course 3: 5-7 and 7-5
Enrichment: Reflection formula
CCS
8.G.4
Essential Question
What makes figures
similar?
Concept
Similarity
Skills
Assessments Helpful Strategies and Resources
Understand that twoUnit Item
Student Notes: Similarity
dimensional figures are
Bank
Holt Middle School Math Course 3: 7-6
similar if a sequence of
Enrichment: Similarity through proportionality
dilations, rotations,
reflections, and
translations takes one to
the other
Given two similar
Unit Item
Student Notes: Similarity experiments
figures, describe the
Bank
Enrichment: -series of dilations,
rotations, reflections,
and translations to take
one figure to the other
8.G.5
What can we learn
Angle sum
Use informal arguments
Unit Item
Student Notes: Sum of the angles of triangles
from the angles of
to find the sum of the
Bank
Holt Middle School Math Course 3: 5-3
triangles?
interior angles of a
Enrichment: Sum of the angles of a polygon
triangle
Use informal arguments
Unit Item
Student Notes: Sum of exterior angles
to find the exterior angle
Bank
Enrichment: Exterior angles of a polygon
of a triangle is equal to
the sum of the remote
interior angles
Parallel lines
Identify congruent
Unit Item
Student Notes: Parallel lines cut by a transversal
and transversals
angles when parallel
Bank
Holt Middle School Math Course 3: 5-2
lines are cut by a
Enrichment: -transversal
Similarity
Derive the angle-angle
Unit PostStudent Notes: Similar triangles
criterion for similarity of
Test
Holt Middle School Math Course 3: 7-6
triangles
Unit Item
Enrichment: -Bank
Vocabulary: Transformation, Reflection, Rotation, Translation, Dilation, Congruent, Similar, Alternate Interior Angles, Alternate Exterior Angles,
Corresponding Angles, Vertical Angles, Supplementary Angles