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Po
werT
each
ing
i3: G
rad
e 6
Math
em
atic
s
Scope and Sequence
The grade 6 PowerTeaching Scope and Sequence is a guide for the content covered in each lesson of the Power Teaching grade 6 curriculum. Additionally, the
scope and sequence visually demonstrates the structure of PowerTeaching and shows how the lessons are divided into units and cycles based on math content.
The scope and sequence also provides the Common Core State Standards Mathematical Practice and Content standards that apply to each lesson. It a
lso
provides a picture of when media, tools, and routines are introduced and used within each lesson cycle.
The PowerTeaching Scope and Sequence is a guide to the order in which the PowerTeaching lessons are intended to be taught. This order is provided so that
concepts can be introduced then later reviewed as a part of new skills. Similarly, problem solving strategies are first introduced then applied to later word problems
and real-world math situations.
Sta
rt-Up
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Unit 1 – Start-Up
Cycle 1
1 – Introduction to
Teamwork
1 and 3
n/a
Pre-assessment on
Grade 5 Skills
n/a
Learning routines:
Think-Pair-Share
and Zero Noise
Signal
2 – Team Building
n/a
n/a
n/a
n/a
Learning routine:
Team Huddle
Video: W
orking
Together
3 – Math as a Brain
Workout
1, 3, and 7
n/a
Multiply decimals
(CC 5.NBT.7)
n/a
Learning routines:
Get the Goof and
Team Score Sheet
Video: Team
Cooperation Goals
4 – The Problem
Solving Plan
1, 2, and 4
The Problem
Solving Plan
Adding fractions
(CC 5.NF.1)
The Problem
Solving Plan
Learning routines:
Homework Check
and Team Mastery
5 – Extraneous Data
Problem Solving
1, 4, and 6
Extraneous Data in
Word Problems
Dividing Whole
Numbers (CC
6.NS.2)
Extraneous Data in
Word Problems
Learning routines:
Quick Check
6 – Pose-a-Problem
Problem Solving
2 and 6
Pose Problems for
Given Data
n/a
Pose Problems for
Given Data
Learning routine:
Cool-Down
Strategies
7 – Assessment
Day
1 and 3
Assessment of Unit
1 Math Topics
n/a
n/a
Learning routines:
Assessment Day,
Improvement
Points, Goal Setting
Videos:
Improvement Points
and the Team Score
Sheet
Nu
mb
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yste
ms
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Math
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Unit 2 – Computation Skills
Cycle 1 – Dividing Whole
Numbers
1 – Mental Math
3 and 6
Use the Distributive
Property to mentally
divide whole
numbers (CC
6.NS.4)
Divide by multiples
of 10 (CC 5.NBT.2)
n/a
Videos: Active
Listening 1 and
Mental M
ath
2 – Estimation
3, 5, and 6
Estimating quotients
and products
Mental Math
Strategies (CC
6.NS.4)
One-step word
problems
n/a
3 – Whole Number
Division 1
3, 4, and 6
Divide two multi-
digit whole numbers
with no remainder
(CC 6.NS.2)
Multiply two multi-
digit whole numbers
(CC 5.NBT.5)
One-step word
problems
n/a
4 – Whole Number
Division 2
3, 4, and 6
Divide two multi-
digit whole numbers
with remainders (CC
6.NS.2)
Write answers to
word problems as
mixed numbers (CC
5.NF.3)
One-step word
problems in which
students choose the
best way to
represent the
answer
n/a
Cycle 2 – Decimal Operations
5 – Estimating
Decimals
3, 5, and 6
Estimate sums,
differences,
products, and
quotients with
decimal numbers
Estimate the value
of decimal numbers
One-step word
problems
Video: Active
Listening 2
6 – Adding and
Subtracting
Decimals
3, 4, and 6
Find the sum and
difference of multi-
digit decimal
numbers (CC
6.NS.3)
Fractions represent
division of two
numbers (CC
5.NF.3)
One-step word
problems
n/a
7 – Multiplying
Decimals
3, 4, and 6
Find the product of
multi-digit decimal
numbers (CC
6.NS.3)
Estimate to check
computation
One-step word
problems
n/a
8 – Dividing
Decimals
3, 4, and 6
Find the quotient of
multi-digit decimal
numbers (CC
6.NS.3)
Estimate to check
computation
One-step word
problems
n/a
9 – Decimal
Computation
1, 2, and 4
Use decimal
computation to
answer complex,
real-world math
problems (CC
6.NS.3
Use whole
estimation and
inverse operations
to check
computation and
use whole number
computation to
solve real-world
problems (CC
6.NS.2)
Complex, multi-step
math problems in
which data is
presented in text
and in diagrams
n/a
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Unit 3 – Fractions
Cycle 1 – GCF and
LCM
1 – Greatest
Common Factor
3, 4, and 6
Find the greatest
common factor of
two whole numbers
(CC 6.NS.4)
Finding factors (CC
4.OA.4)
One-step word
problems; drawing
models for word
problems
Video: Help and
Encourage Others 1
2 – Least Common
Multiple
3, 4, and 6
Find the least
common multiple of
two whole numbers
(CC 6.NS.4)
n/a
One-step word
problems
n/a
3 – Problem Solving
with GCF and LCM
1, 2, and 7
Use GCF and LCM
to answer complex
math problems
n/a
Complex, real-world
math problems with
data in words and in
diagrams
n/a
Cycle 2 – Fraction Concepts
4 – Estimating
Fractional Values
3, 5, and 6
Estimate the value
of complex fractions
in relation to 0, ½,
and 1.
Reason about the
size of a fraction
using a number line
(CC 3.NF.2)
n/a
Video: Help and
Encourage Others 2
5 – Ordering
Fractions, Mixed
Numbers, and
Decimals
3 and 6
Compare and order
fractions, mixed
numbers, and
decimals
Fractions represent
division of two
numbers (CC
5.NF.3)
n/a
n/a
6 – Multiplying
Fractions
3 and 6
Multiply fractions
and mixed numbers
Multiply fractions
and whole numbers
(CC 5.NF.4a)
Multiply fractions by
fractions (CC
5.NF.4b)
One-step word
problems
n/a
Cycle 3 –
Dividing
Fractions
7 – Dividing Whole
Numbers and
Fractions
3 and 6
Divide whole
numbers by
fractions and mixed
numbers (CC
6.NS.1)
Multiply fractions
and whole numbers
(CC 5.NF.4a)
One-step word
problems
Videos: E
veryone
Partic
ipates 1 and
Dividing with
Fractions is Hot
8- Divide Fractions
by Fractions
3 and 6
Divide fractions by
other fra
ctions (CC
6.NS.1)
Multiply fractions by
fractions (CC
5.NF.4b)
One-step word
problems
Video: Reciprocals
and Division of
Lasagna
9 – Problem Solving
with Multiplying and
Dividing Fractions
1, 2, and 4
Multiply and divide
fractions, whole
numbers, and mixed
numbers to solve
complex word
problems (CC
6.NS.1)
Problem Solving
Steps
Complex, real-world
math problems with
data in words and in
diagrams
n/a
Ratio
s a
nd
Pro
po
rtion
al R
ela
tion
sh
ips
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Math
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Pro
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Unit 4 – Rational Numbers
Cycle 1 – Understanding
Integers
1 – Exploring
Integers
3 and 6
Use integers to
represent real-world
concepts and
amounts (CC
6.NS.5)
Sequence and
comparing
quantities on a
number line
n/a
Video: Everyone
Partic
ipates 2
2 – Graphing
Ordered Pairs in All
Quadrants
3, 4, and 8
Locate and plot
points in all
quadrants of a
coordinate plane
(CC 6.NS.6b)
Plotting and locating
points in Quadrant I
(CC 5.G.1)
n/a
Tools: graphing
calculator or
desmos.com
3 – Exploring
Graphing
1, 2, and 4
Use the coordinate
plane and the
properties of
polygons to solve
problems (CC
Properties of
polygons (CC 5.G.3
and CC 5.G.4)
Geometric problem
solving on the
coordinate grid
Tools: graphing
calculator or
desmos.com
Cycle 2 – Integers and Problem
Solving
4 – Compare and
Order Integers
3 and 6
Use a number line
and number sense
to compare and
order integers in
real-world and
mathematical
context (CC 6.NS.7)
n/a
n/a
Video: E
xplain
Ideas 1
Tool: number line
5- Absolute Value
3 and 6
Find the absolute
value of given
rational numbers
and order absolute
values (CC 6.NS.7)
n/a
Simple context
problems
n/a
6 – Problem Solving
with Coordinates
1, 2, and 4
Solve real-word
problems involving
plotting points on
and calculating
distance on
coordinate planes
(CC 6.NS.8 and
6.G.3)
Line of symmetry
(CC 4.G.3)
Complex, real-world
math problems with
data in words and in
diagrams
Tools: graphing
calculator or
desmos.com
Video: Distance on
the Coordinate
Plane
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Unit 5 – Introduction to
Ratios and Rates
Cycle 1 – Introduction to Rates
and Ratios
1 – What are
Ratios?
3 and 6
Write ratios in three
ways and use ratio
language (CC
6.RP.1)
n/a
Problems with
simple context
Videos: Explains
Ideas 2 and What
are Ratios Anyway?
2 – Ratios and
Tables
3, 4, and 6
Use tables to find
equivalent ratios
(CC 6.RP.3)
Analyze number
patterns within a
table (5.OA.3)
One-step word
problems
n/a
3 – Rate and Unit
Rate
3, 4, and 6
Use double number
lines, tables, and
fractions to find the
unit ra
te (CC
6.RP.2)
Equivalent fra
ctions
(CC 4.NF.1)
One-step word
problems
n/a
4 – Comparing
Rates
1, 2, and 4
Compare rates,
ratios, and unit rates
in the context of
real-world problems
(CC 6.RP.3)
Find the unit ra
te
(CC 6.RP.3)
Comparing fractions
(CC 4.NF.2)
One- or two-step
word problems
Video: Unit P
ricing
or W
hose Bargain is
Better?
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Unit 6 – Ratios and Percents
Cycle 1 – Problem Solving with Ratio and Rate
1 – Converting
Measurements
4, 5, and 6
Determine
conversion rates
and use given rates
to convert m
easures
(CC 6.RP.3)
n/a
One-step word
problems
Video: Complete
Tasks 1
2 – Problem Solving
with Unit Rates
3, 4, and 8
Solve complex unit
rate and unit price
word problems (CC
6.RP.3)
Find equivalent
ratios (CC 6.RP.2)
One- to two-step
word problems
n/a
3 – Ratios and
Graphing
3, 4, 5, and 6
Make tables of
equivalent ratios
and graph the ratios
as ordered pairs
(CC 6.RP.3)
Plot ordered pairs
(CC 6.NS.6)
One- to two-step
word problems
Tools: graphing
calculator or
desmos.com
4 – Ratios and Tape
Diagrams
1, 2, and 4
Use tape diagrams
to answer questions
about rates and
ratios (CC 6.RP.3)
n/a
Two-step word
problems
n/a
5 – Ratio and Rate
Problem Solving
1, 2, and 4
Use rate and ratio
reasoning to solve
complex, real-world
problems (CC 6.NS
1–3)
Problem Solving
Strategies
Fraction
computation (CC
6.NS.1–4)
Complex, real-world
math problems with
data in words and in
diagrams
Tools: graphing
calculator or
desmos.com
Cycle 2 –
Percents
6 – Understanding
Percents
3 and 6
Write a percent to
represent a simple
situation and
convert between
fractions, decimals
and percents (CC
6.RP.3)
Convert between
fractions and
decimals (CC
5.NF.3)
Simple context
problems
Video: C
omplete
Tasks 2
7 – Comparing and
Ordering Percents,
Fractions, and
Decimals
3 and 6
Compare and order
percents, fra
ctions,
and decimals in
mathematical and
real-world contexts
(CC 6.RP.3)
Compare fractions
and decimals
Simple context
problems
Tool: number line
8 – Solving Percent
Problems
1 and 2
Solve one-step word
problems involving
percents, such as
finding the percent
of a number (C
C
6.RP.3)
n/a
One-step word
problems
n/a
9 – Problem Solving
with Percents
1, 2, and 4
Solve complex, real-
world problems
involving percents,
decimals, and
fractions (CC
6.RP.3)
Problem solving
with fractions and
decimals (CC
6.NS.1 and 3)
Complex, real-world
math problems with
data in words and in
diagrams
n/a
Exp
ressio
ns a
nd
Eq
uatio
ns
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Unit 7 – Writing and Evaluating Expressions
Cycle 1 – Numeric
Expressions
1 – Understanding
Exponents
3, 4, and 6
Use real-world
examples, such as
area and arrays, to
make sense of and
simplify exponents
(CC 6.EE.1)
Area of a square
(CC 4.MD.3)
One-step word
problems; drawing
models for word
problems
n/a
2 – Order of
Operations
3 and 6
Use the full Order of
Operations to
simplify and
evaluate numeric
expressions (CC
6.EE.1)
Evaluate
expressions with
parentheses (CC
5.OA.1)
n/a
Video: O
rder of
Operations or The
Mystery Caller
3 – Write and Solve
Numeric
Expressions
1, 2, and 4
Write numeric
expressions to solve
complex, real-world
math situations (CC
6.EE.1)
The Problem
Solving Steps
Complex, real-world
math problems with
data in words and in
diagrams
n/a
Cycle 2 – Writing Algebraic
Expressions
4 – Introduction to
Variables
2 and 4
Define variables,
then identify and
name variables in
math stories (CC
6.EE.2 and 6)
n/a
Simple context
problems
Video: In
troduction
to Variables or
Maxed Out!
5 – Algebraic
Expressions and
Vocabulary
3 and 6
Understand and
identify the key
parts of algebraic
expressions
(variable, constant,
term, etc)
n/a
n/a
n/a
6 – Writing
Expressions 1
2
Write one-step
algebraic
expressions to
represent math
phrases (CC
6.EE.2)
Translate word
problems into
number sentences
On-step math
phrases
n/a
7 – Writing
Expressions 2
2
Write multi-step
algebraic
expressions to
represent math
phrases (CC
6.EE.2)
Translate word
problems into
number sentences
Two-step math
phrases
n/a
Cycle 3 – Evaluating Expressions
8 – Evaluate
Expressions 1
2
Evaluate single- and
multi-step
expressions for
specific values. (CC
6.EE.2)
Order of Operations
(CC 6.EE.1)
One- and two-step
math phrases
n/a
9 – Evaluate
Expressions 2
2
Use geometric
formulas to explore
and evaluate
algebraic
expressions with
exponents (CC
6.EE.2)
Order of Operations
(CC 6.EE.1)
Multi-step math
phrases and
diagrams
n/a
10 – Expressions
and Patterns
3, 4, and 7
Use a table of
values to determine
how changing the
value of the variable
affects the value of
the expression. (CC
6.EE.2)
Order of Operations
(CC 6.EE.1)
n/a
n/a
11 – Write and
Evaluate
Expressions
1, 2, and 7
Write and evaluate
algebraic
expressions for real-
world math
situations (CC
6.EE.2)
Order of Operations
(CC 6.EE.1)
Real-world math
problems with data
in words and in
diagrams
Video: W
rite and
Evaluate
Expressions
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Unit 8 – Equivalent Expressions
Cycle 1 – Properties of Addition
1 – Properties of
Addition 1
3, 6, and 7
Identify the
Properties of
Addition and use
them to rewrite
expressions (CC
6.EE.3)
Order of Operations
(CC 6.EE.1)
n/a
n/a
2 – Combining
Variables
2, 3, and 6
Simplify algebraic
expressions with
one variable. (CC
6.EE.3)
Properties of
Addition and Order
of Operations
n/a
n/a
3 – Proving
Expressions
Equivalent 1
3, 6, and 7
Evaluate two
expressions to
prove if th
ey are
equivalent and use
the Properties of
Addition to describe
why (CC 6.EE.4)
Properties of
Addition and Order
of Operations
n/a
Tools: proofs
Cycle 2 – Properties of
Multiplication
4 – Properties of
Multiplication
3, 6, and 7
Identify the
Properties of
Multiplication and
use them to rewrite
expressions (CC
6.EE.3)
Order of Operations
(CC 6.EE.1)
n/a
n/a
5- Greatest
Common Factors
3, 6, and 7
Identify the GCF of
algebraic terms in
an expression (CC
6.EE.3)
Greatest Common
Factor of two hole
numbers (CC
6.NS.4)
n/a
n/a
6 – The Distributive
Property
3, 6, and 7
Use the Distributive
Property to rewrite
expressions (CC
6.EE.3)
n/a
n/a
n/a
7 – Proving
Expressions
Equivalent 2
3, 6, and 7
Evaluate two
expressions to
prove if th
ey are
equivalent and use
the Properties of
Multiplication to
describe why (CC
6.EE.4)
Properties of
Multiplication (CC
6.EE.3)
n/a
n/a
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Unit 9 – Solving Equations
Cycle 1 – Expressions and Equations
1 – Defining
Equations
2 and 4
Understand and
model that
equations must
remain balanced by
definition (CC
6.EE.5)
Properties of
Addition and
Multiplication (CC
6.EE.3)
Use models and
contextual examples
to represent
equations
n/a
2 – Solutions to
Equations and
Inequalities
2, 3, and 6
Substitute given
values into the
variables of
equations and
inequalities to
determine if th
ey are
possible solutions
(CC 6.EE.5)
Order of Operations
(CC 6.EE.1)
n/a
n/a
3 – Solving
Equations
2, 3, and 6
Use mental math
and quess-and-
check to solve one-
step equations (CC
6.EE.5)
Order of Operations
(CC 6.EE.1)
n/a
n/a
4 – Geometry and
Equations
2 and 4
Solve geometric
equations using
mental math, guess-
and-check, and
visual estimation
(CC 6.EE.5)
Perimeter, Area,
and Volume
Geometric word
problems or
diagram problems
n/a
Cycle 2 – One-Step
Equations
6 – Inverse
Operations
3 and 6
Define and identify
inverse operations
and use them to
solve equations
equal to 0 (CC
6.EE.7)
Opposite integers
(CC 6.NS.6)
Simple context
problems
Video: In
verse
Operations
7 – Solving Addition
and Subtraction
Equations
2 and 4
Use inverse
operations to solve
one-step addition
and subtraction
equations with
whole numbers (CC
6.EE.7)
Inverse Operations
(CC 6.EE.7)
Simple context
problems
Video: Solving
Equations
Tool: balance or
scale
8 – Solving
Multiplication and
Division Equations
2 and 4
Use inverse
operations to solve
one-step
multiplication and
division equations
with whole numbers
(CC 6.EE.7)
Inverse Operations
(CC 6.EE.7)
Simple context
problems
Tool: balance or
scale
9 – Solving
Equations to
Answer Questions
1 and 2
Solve a given one-
step equation to
answer a real-world
math problem (CC
6.EE.7)
n/a
Real-world math
situations with one-
step solutions
n/a
Cycle 3 – Equations and Problem Solving
10 – Choose the
Correct Equation 1
2 and 4
Given a choice of
addition and
subtraction
equations, choose
the one that
correctly represents
the math situation
(CC 6.EE.7)
The Problem
Solving Steps
One-step word
problems
n/a
11 – Choose the
Correct Equations 2
2 and 4
Given a choice of
multiplication and
division equations,
choose the one that
correctly represents
the math situation
(CC 6.EE.7)
The Problem
Solving Steps
One-step word
problems
n/a
12 – Write and
Solve Equations
1, 2, and 4
Write an equation to
represent a real-
world problem, then
solve the equation
to answer the
question. (CC
6.EE.7)
The Problem
Solving Steps
One-step word
problems
n/a
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Math
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Unit 10 – Inequalitities
Cycle 1 – Simple Inequalities
1 – Equations and
Inequalities
3 and 6
Understand the
differences and
similarities between
equations and
inequalities. (CC
6.EE.8)
Understand and
solve equations.
(CC 6.EE.7)
n/a
Tool: balance or
scale
2 – Graphing
Inequalities
3, 4, and 6
Graph simple
inequalities on a
number line and
answer questions
about the
inequalities. (CC
6.EE.8)
Ordering rational
numbers (CC
6.NS.7a, 5.NBT.5)
n/a
Tool: number line
3 – Write and Graph
Inequalities
1 and 4
Write and graph
simple inequalities
to represent real-
world problems. (CC
6.EE.8)
The Problem
Solving Steps
Simple context
problems
Tool: number line
4 – Solutions to
Inequalities
3 and 6
Substitute given
values for the
variables in
inequalities to
determine if th
ey are
a possible solution.
(CC 6.EE.8)
Evaluate
expressions (CC
6.EE.2)
n/a
n/a
5 – Solving
Inequalities
1 and 2
Use number sense
and guess-and-
check to define a
solution set for an
inequality. (CC
6.EE.8)
Solving equations
(CC 6.EE.7)
Simple context
problems
n/a
L
esso
n
Co
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on
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Sta
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(s) o
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ath
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atic
al
Pra
ctic
e
Main
Math
C
on
cep
t(s)
Rev
iew
ed
Math
C
on
cep
t(s)
Pro
ble
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Unit 11 – Patterns, Equations, and Graphs
Cycle 1 – Independent and Dependent
Relationships
1 – Dependent and
Independent
Relationships
2 and 4
Understand the
definition for
dependent and
independent events.
(CC 6.EE.9)
n/a
Simple context
problems
n/a
2 – Patterns and
Number Tables
3, 4, and 6
Write an expression
to represent the
pattern in a number
table using
variables. (CC
6.EE.9)
Write algebraic
expressions (CC
6.EE.2)
Construct models
for patterns in a
table
n/a
3 – Dependent and
Independent Data
1 and 2
Name the
dependent and
independent
variables in a real-
world relationships,
then use the table to
describe the
relationship. (CC
6.EE.9)
n/a
Construct models
for patterns in a
table that represents
a real-world
situation
n/a
Cycle 2 – Graph and Write
Equations to Solve Real-
World Problems
4 – Tables and
Equations 1
3, 4, and 6
Make a table of
values from a linear
equation and write
an equation to
represent a given
table of values. (CC
6.EE.9)
Write equations (CC
6.EE.8)
Construct models
for patterns in a
table
n/a
5- Tables and
Equations 2
2, 4, and 8
Use a table of
values to
understand and
write formulas for
area, perimeter, and
volume. (CC
6.EE.9)
Perimeter, area, and
volume (CC 5.MD.5,
3.MD.7 and 8)
Construct geometric
formulas for
patterns in a table
Tools: shapes
6 – Tables and
Graphs
2 and 4
Use tables of values
to graph a
relationship
between two
variables. (CC
6.EE.9)
Graph ordered pairs
on a coordinate
plane (CC 6.NS.6c)
n/a
Tools: graphing
calculator or
desmos.com
7 – Linear
Relationships
1, 4, and 8
Given a real-world
situation, make a
table of values, write
an equation, and
graph the
relationship. (CC
6.EE.9)
Use coordinate
planes to solve real-
world problems (CC
6.NS.8)
Complex, real-world
problems.
Video: Linear
Relationships
Tools: graphing
calculator or
desmos.com
Geo
metry
an
d M
easu
rem
en
t
L
esso
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Pra
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e
Main
Math
C
on
cep
t(s)
Rev
iew
ed
Math
C
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cep
t(s)
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Unit 12 – Measurement
Cycle 1 – Measurement and Conversion
1 – Estimate
Measures of Length
3, 5, and 6
Choose the
appropriate tools to
measure length.
Estimate customary
and metric
measures.
Name the number of
smaller measures in
a larger measure
(CC 4.MD.1)
Estimation and
mental math
Tools: ruler, yard
stick, tape measure
2 – Estimate
Measures of Weight
3, 5, and 6
Choose the
appropriate tools to
measure weight.
Estimate the
customary and
metric measure of
weight.
Name the number of
smaller measures in
a larger measure
(CC 4.MD.1)
Estimation and
mental math
Tools: scale and
balance
3 – Estimate
Measures of
Capacity
3, 5, and 6
Choose the
appropriate tools to
measure capacity.
Estimate the
customary and
metric measure of
capacity.
Name the number of
smaller measures in
a larger measure
(CC 4.MD.1)
Estimation and
mental math
Tools: ruler and cup
measures
4 – Convert M
etric
Units of Measure
7 and 8
Use the four
operations and ratio
reasoning to convert
between metric
units. (CC 6.RP.3d)
Convert between
units of measure
(CC 5.MD.1)
Simple context and
geometric problems
Tools: tools of
measure
Video: Convertin
g
Units of M
easure
5 – Convert
Customary Units of
Measure
7 and 8
Use the four
operations and ratio
reasoning to convert
between customary
units of measure
(CC 6.RP.3d)
Convert between
units of measure
(CC 5.MD.1)
Simple context and
geometric problems
Tools: tools of
measure
Video: Convertin
g
Units of M
easure
6 – Measurement in
Problem Solving
1, 2, 7, and 8
Answer complex,
real-word problems
involving estimating,
finding, and
converting
measures of length,
weight, and
capacity. (CC
6.RP.3d)
Convert between
units of measure
(CC 5.MD.1)
Complex real-world
problems
Tools: tools of
measure
Cycle 2 – Area
7 – Properties of
Polygons
5 and 8
Identify two-
dimensional shapes
based upon the
measures and
characteristics of
their sides and
angles. (CC 5.G.3)
Identify two-
dimensional shapes
based upon the
measures and
characteristics of
their sides and
angles. (CC 5.G.3)
n/a
Tools: tools of
measure
8 – Area of
Rectangles and
Triangles
4, 5, and 8
Review the formula
for area of a
rectangle and derive
the formula of a
triangle from a
rectangle. (CC
6.G.1)
Area of a rectangle
(CC 4.MD.3)
Derive one formula
from another
Tools: tools of
measure
9 – Area of
Quadrilaterals
4, 5, and 8
Find the area of
special
quadrilaterals by
composing or
decomposing them
into rectangles and
triangles.
Extrapolate
formulas for finding
the area of each
shape. (CC 6.G.1)
Area of a rectangle
(CC 4.MD.3) and
Area of a triangle
(CC 6.G.1)
Derive one formula
from another
Tools: tools of
measure
10 – Area on the
Coordinate Plane
3, 4, and 6
Use a coordinate
plane to find the
area of tria
ngles and
quadrilaterals. (CC
6.NS.8 and 6.G.1)
Find distance on the
coordinate plane
(CC 6.NS.7)
n/a
Tools: graphing
calculator or
desmos.com
11 – Problem
Solving with Area
1, 2, and 5
Use the formulas for
area of tria
ngles and
quadrilaterals to
solve real-world
problems. (CC
6.G.1)
Area of a rectangle
(CC 4.MD.3) and
Area of a triangle
(CC 6.G.1)
Complex, real-world
problems
Tools: tools of
measure
L
esso
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ath
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Pra
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Main
Math
C
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cep
t(s)
Rev
iew
ed
Math
C
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cep
t(s)
Pro
ble
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Unit 13– Volume and Surface Area
Cycle 1 – Independent and Dependent Relationships
1 – Finding Volume
1
3, 4, and 6
Estimate the volume
of a container/
rectangular prism in
fractional unit
cubes, then find the
actual volume in
fractional unit
cubes. (CC 6.G.2)
Find the volume of
rectangular prisms
in whole units (CC
5.G.4 and 5)
n/a
Tools: fra
ctional unit
cubes
2 – Derive the
Formula
4 and 8
Derive the formula
for volume (V = lwh)
by making a data
table. (CC 6.G.2)
Find the volume of
rectangular prisms
in whole units (CC
5.G.4 and 5)
Derive a formula
from collected data
n/a
3 – Finding Volume
2
3 and 6
Estimate and find
the volume of
rectangular prisms
with fractional side-
lengths using the
formulas for volume.
(CC 6.G.2)
Find the volume of
rectangular prisms
in whole units (CC
5.G.4 and 5)
n/a
Video: Finding
Volume
4 – Volume and
Problem Solving
1 and 2
Solve complex, real-
world problems
related to finding
volume. This will
include additive and
subtractive
problems. (CC
6.G.2)
Find the volume of
rectangular prisms
in whole units (CC
5.G.4 and 5)
Complex, real-world
problems
n/a
Cycle 2 – Surface Area 5 – Solid Figures
and Nets
4, 5, and 7
Name a solid figure
for a given net and
construct or draw a
net when given a
solid figure. (CC
6.G.4)
Identify two-
dimensional shapes
based upon the
measures and
characteristics of
their sides and
angles. (CC 5.G.3)
Spatial, geometric
problem solving.
Video: Solid Figures
and Nets
Tools: Nets
6 – Surface Area of
Rectangular and
Triangular Prisms
4 and 5
Construct and use
nets to find the
surface area of
prisms. Extrapolate
the process to find
the surface area
without nets. (CC
6.G.4)
Area of a rectangle
(CC 4.MD.3) and
Area of a triangle
(CC 6.G.1)
Derive a
formula/process
from collected data
Tools: Nets
7 – Surface Area of
Pyramids
4 and 5
Construct and use
nets to find the
surface area of
pyramids.
Extrapolate the
process to find the
surface area without
nets. (CC 6.G.4)
Area of a rectangle
(CC 4.MD.3) and
Area of a triangle
(CC 6.G.1)
Derive a
formula/process
from collected data
Tools: Nets
8 – Problem Solving
with Surface Area
1, 4, and 5
Use nets or
processes to find
surface area in
order to solve
complex, real-world
problems. (CC
6.G.4)
Area of a rectangle
(CC 4.MD.3) and
Area of a triangle
(CC 6.G.1)
Complex, real-world
problems
Tools: Nets
Sta
tistic
s a
nd
Pro
bab
ility
L
esso
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Co
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on
Co
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Sta
nd
ard
(s) o
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ath
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atic
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Pra
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e
Main
Math
C
on
cep
t(s)
Rev
iew
ed
Math
C
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cep
t(s)
Pro
ble
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Unit 14 - Introduction to Statistics
Cycle 1 – Statistical Questions
1 – Collecting Data
3 and 6
Students will use
given survey
questions to collect
and organize data.
They will start
talking about good
and bad questions.
(CC 6.SP.1)
n/a
Simple reasoning
about good and bad
survey questions
Tools: Various data
collecting and
organizing tools like
spreadsheets
2 – Variability and
Statistical Questions
3 and 6
Students will use
the data they
collected to talk
more in depth about
good and bad
statistical questions
and the reasons
organizations ask
questions. (CC
6.SP.1)
n/a
Simple reasoning
about good and bad
survey questions
Tools: Various data
collecting and
organizing tools like
spreadsheets
3 – Writing
Statistical Questions
3 and 6
Students construct
their own statistical
questions, conduct
a survey, and
organize the data in
a list. They will
begin to make
simple observations
about the data. (CC
6.SP.1)
n/a
Simple reasoning
about good and bad
survey questions
Tools: Various data
collecting and
organizing tools like
spreadsheets
Cycle 2 – Displaying Data
4 – Displays of
Categorical Data
4 and 5
Define categorical
data and introduce
bar graphs and
circle graphs. (CC
6.SP.4)
Make a line plot to
display data (CC
4.MD.4)
n/a
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
5 – Displays of
Numerical Data
4 and 5
Define numerical
data and introduce
histograms, line
plots, box plots,
histograms, and
stem-and-leaf plots.
(CC 6.SP.4)
Make a line plot to
display data (CC
4.MD.4)
Use a coordinate
plane to display
real-world data )CC
5.G.1 and 2)
n/a
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
6 – Line Graphs
4 and 5
Understand that line
graphs represent a
special case for
displaying numerical
data (CC 6.SP.4)
Make a line plot to
display data (CC
4.MD.4)
n/a
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
7 - Histograms
4 and 5
Create histograms
for given data using
appropriate tools.
Make a line plot to
display data (CC
4.MD.4)
n/a
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
Unit 15 – Describing and Using Data
Cycle 1 – Distribution of Statistical Data 1 – Shapes of Data
Sets
1, 2, and 4
Compare the
shapes of
categorical data
sets on similar and
different data. (CC
6.SP.2)
n/a
Analyze the shape
of data sets.
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
2 – Numerical Data
Sets
1, 2, and 4
Compare the
shapes of numerical
data sets on similar
and different data.
(CC 6.SP.2)
Define numerical
data and introduce
histograms, line
plots, box plots,
histograms, and
stem-and-leaf plots.
(CC 6.SP.4)
Analyze the shape
of data sets.
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
3 – Box Plots
1, 2, and 4
Construct and
analyze box plots.
(CC 6.SP.2)
Define numerical
data and introduce
histograms, line
plots, box plots,
histograms, and
stem-and-leaf plots.
(CC 6.SP.4)
Analyze the shape
of data sets.
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
Video: Box Plots
4 – Comparing Box
Plots
1, 2, and 4
Compare box plots
on similar and
different data. (CC
6.SP.2)
Define numerical
data and introduce
histograms, line
plots, box plots,
histograms, and
stem-and-leaf plots.
(CC 6.SP.4)
Analyze the shape
of data sets.
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
Cycle 2 – Measures of Center
and Variability
5 – Measures of
Center 1
3 and 6
Calculate mean,
median, and mode
of a given data set.
(CC 6.SP.3)
Calculate with whole
and decimal
numbers. (CC
6.NS.2 and 3)
n/a
Tools: spreadsheets
to calculate various
measures of center
Video: You know
what I M
EAN?!
6 – Measures of
Center 2
4 and 7
Analyze what the
mean, median, and
mode of a data set
tell you about the
data. (CC 6.SP.3)
n/a
Analyze data sets
Tools: spreadsheets
to calculate various
measures of center
Video: Displaying
Data
7 – Measures of
Variability
3, 6, and 7
Calculate
interquartile range
and mean-absolute
deviation and
analyze what these
measures of
variability tell you
about a data set.
(CC 6.SP.3)
Calculate with whole
and decimal
numbers. (CC
6.NS.2 and 3)
Analyze data sets
Tools: spreadsheets
to calculate various
measures of
variability
8 – Describing Data
Sets
4 and 7
Use the shape of
the data, the
measures of center,
and the measures of
variability to
describe (CC
6.SP.3)
n/a
Analyze data sets
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
Cycle 3 – Complete a Data Project
9 – Define the
Investigation
1–6
Write a statistical
question and find a
data set that
answers it. (C
C
6.SP.5)
CC 6.SP.1–4
Analyze data sets
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
10 – Present the
Data
1–6
Choose an
appropriate
graphical display for
your data and justify
your choice. (CC
6.SP.5)
CC 6.SP.1–4
Analyze data sets
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
11 – Reporting 1
1–6
Calculate the
measures of center
and measures of
variability to
describe your data
set (CC 6.SP.5)
CC 6.SP.1–4
Analyze data sets
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
12 – Reporting 2
1–6
Reflect and report
on what your graph
and various
measures tell you
about the data set,
what questions you
have answered, and
what questions you
might still h
ave. (CC
6.Sp.5)
CC 6.SP.1–4
Analyze data sets
Tools: Various data
collecting and
displaying tools
such as
spreadsheets and
graphs
Pro
ble
m S
olv
ing
Problem solving in PowerTeaching is addressed in two main ways. The first is through problem-solving strategy lessons. These lessons
are designed to give students basic problem solving skills and strategies that will help them understand and solve any word problem or
real-world math situation. These lessons are distributed throughout the PowerTeaching curriculum to provide consistent points of
problem-solving discussion and practice.
The second way in which PowerTeaching addresses problem solving is through the math content lessons. These lessons often include
simple one- or two-step problem solving examples or complex, real-world situations and applications of the math being taught in that
cycle. Students will use their problem solving strategies to solve these word problems that are spread throughout each cycle of
PowerTeaching.
Through the balance of consistent practice and targeted strategy instruction, students are immersed in problem solving throughout
PowerTeaching and consistently apply the Common Core State Standards for Mathematical Practice.
Pro
ble
m S
olv
ing
Stra
teg
y L
esso
ns
L
esso
n
Lesso
n L
ocatio
n
Main
Math
Co
ncep
t(s)
Med
ia, T
ech
no
log
y, a
nd
T
oo
ls
Problem
Solving
The Problem-Solving Plan
Unit 1, Day 4
Understand the steps of the problem
solving process, and use those steps to
solve math word problems.
n/a
Problem Solving and
Extraneous Data
Unit 1, Day 5
Identify extraneous data in word
problems and math situations, then
solve the problems.
n/a
Pose-a-Problem
Unit 1, Day 6
Pose a problem for given mathematical
data. Ask a question that you could
answer using given data.
n/a
Sort and list
Unit 3, Cycle 3, Lesson 10
Sort lis
t data in word problems and
math situations to better answer
questions about the data.
n/a
Model the Problem
Unit 4, Cycle 2, Lesson 7
Use number sentences, expressions,
and drawings to model what is
happening in a problem and to find the
solution.
Video: M
odel th
e Problem
Find a Pattern
Unit 5, Cycle 1, Lesson 5
Look for patterns within word problems
and math situations to find solutions or
make predictions about what will
happen next.
n/a
Guess and Check
Unit 6, Cycle 2, Lesson 10
Use the guess and check strategy to
solve complex math situations and
readjust your guess based on your
previous guesses.
n/a
Solve a Simpler Problem
Unit 7, Cycle 3, Lesson 12
Use simpler numbers to solve multi-step
problems, then substitute the original
numbers to find the actual answer.
Video: Solve a Simpler
Problem
Work Backwards
Unit 8, Cycle 2, Lesson 10
Recognize problems and situations in
which working backwards is the
appropriate strategy to solve and
successfully use the strategy to solve
given problems.
Video: W
ork Backwards