# Grade level: 6 Subject: Mathematics Words Important for This Unit

## Transcription

Grade level: 6 Subject: Mathematics Words Important for This Unit
Subject: Mathematics
Unit #: 3
Words Important for This Unit
Evaluate
Equation
substitution
conjectures
Expression
Formula
combine
Expressions
Subject Specific Words
Term
decompose
Order of operations
Common factor
Distributive property
Exponent
Braces
Input/output table
Prime number
Coefficient
compose
Associative property
Common multiple
Divisible
Grouping symbols
Parentheses
Least common multiple
variable
Constant
Identity property
Commutative property
Composite number
Equivalent
Brackets
Greatest common factor
Prime factorization
Day
1
Topic
Use
Mathematical
Language to
Write
Expressions
Subject: Mathematics
Key SLOs
SLO #1
(CCSS 6.EE.2a,
6.EE.2b,
MP #4)
2
3
4
Order of
Operations
SLO #2
(CCSS 6.EE.1
MP #4)
Learning Objectives
Write expressions
that record
operations with
numbers and with
letters standing for
numbers. For
example, express
the calculation
“Subtract y from 5”
as 5 – y.
Identify parts of an
expression using
mathematical
terms (sum, term,
product, factor,
quotient,
coefficient); view
one or more parts
of an expression as
a single entity. For
example, describe
the expression 2 (8
+ 7) as a product of
two factors; view
(8 + 7) as both a
single entity and a
sum of two terms.
Use the order of
operations to solve
numerical
expressions.
Use the order of
operations
(including grouping
symbols and
Unit #: 3
Essential
Questions
How can we use
numbers and
letters to
describe what is
happening in a
given situation?
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Teacher
Computer
modeling with
Station
examples and
Computer
non-examples.
Station
Guided practice Computer
Station
teacher or by
Writing
students.
Expressions
Games
Suggested
Assessment
Exit Tickets
Quick Checks
Closure Activity
Reflection of the
day’s learning
Computer
Station
Order of
Operations
Computer
Station
EngageNY!!
enVisions Lesson
2.1
(2.1 Common
Core Edition)
Extra Practice
for Identifying
Parts of an
Algebraic
Expression
Computer
Station
Does the order
you make a
sandwich
matter?
What does it
mean to group
things together?
If multiplication
Possible
Resources
EngageNY!!
enVisions Lesson
2.3
Quick Check 2.3
*Grouping
symbols
(parentheses,
Day
Topic
Subject: Mathematics
Key SLOs
5
Evaluating
Expressions
SLO #3
(CCSS 6.EE.2c
MP #4)
6
Learning Objectives
Unit #: 3
Essential
Questions
exponents) to solve
numerical
expressions.
Use the order of
operations to write
numerical
expressions for
given situations.
is repeated
does that make
exponents?
Evaluate
expressions by
substituting values
for variables. (Real
world situations of
area, perimeter,
volume etc.)
Evaluate
expressions using
tables.
What happens
when your
teacher is sick?
Is there no
school that day?
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Suggested
Assessment
Possible
Resources
brackets, and
braces) Video
Computer
Station
*Quiz: Order of
Operations
*Grouping
Symbols Video
*Day 2 Problems
Computer
Station (onestep)
Computer
Station (mulitstep)
Quick Check 2.6
*Day 3 Problems
EngageNY!!
enVisions Lesson
2.6
EngageNY!!
Why are rules
important?
Computer
Station (word
problems)
Quick Check 2.6
Pan Balance for
Expressions
(Illuminations)
7
8
9
Using
Expressions to
Describe
Patterns
Identify missing
numbers in a
pattern.
Write algebraic
expressions to
describe a pattern.
Evaluating
Expressions with
Decimals
Evaluate
expressions with
Do patterns help
me learn faster?
Computer
Station
Computer
Station
Computer
Station (Visual
Patterns wow!)
Computer
Station
Computer
Quick Check 2.7
(enVisions
Lesson 1.3 –
resource for
exponents)
EngageNY!!
enVisions Lesson
2.7
Quick Check 3.8
EngageNY!!
Day
Topic
Subject: Mathematics
Key SLOs
Learning Objectives
Unit #: 3
Essential
Questions
whole numbers and
decimals.
10
Equivalent
Expressions
SLO #4
(CCSS 6.EE.3,
6.NS.4)
SLO #5
11
12
(CCSS 6.EE4
MP #3)
Evaluate
expressions with
whole numbers and
decimals (with
grouping symbols
or exponents.)
Combine like terms
in expressions.
(include combining
repeated
multiplication as
exponents) (include
variables)
How do we
make groups
with numbers?
(ie evens/odds)
KEY VOCAB –
“term”, “constant”
and “coefficient”
Write equivalent
expressions.
(include combining
repeated
multiplication as
exponents) (include
variables)
Just Dance from
two different
places make a
difference?
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Station
(decimals,
fractions and
mixed numbers
included)
Computer
Station
Computer
Station
(substitution
with formulas)
Computer
Station
(combining like
terms)
Computer
and subtraction)
Computer
Station
(multiplication
and division)
Computer
Station (id
“term”
“coefficient” and
“monomial”
Computer
Station (area
model)
Computer
Station
Suggested
Assessment
Possible
Resources
enVisions Lesson
3.8
*Quiz:
Evaluating
Expressions
*Quiz: Writing
and Evaluating
Expressions
Day
Topic
Subject: Mathematics
Key SLOs
Properties of
Operations
13
The Distributive
Property
14
15
16
Problem Solving
– Making A
Table
Least Common
Multiple (LCM)
17
SLO #6
(CCSS 6.NS.4)
Learning Objectives
Unit #: 3
Essential
Questions
Identify properties
of multiplication
find equivalent
expressions.
What makes
multiplication
special?
Use the distributive
property to
evaluate numerical
expressions.
Compose and
Decompose
numbers in
expressions using
the distributive
property and find
equivalent
expressions.
Use the distributive
property to
evaluate algebraic
expressions and
find equivalent
expressions.
Make and use
tables to solve
word problems.
If I distribute
candy to the
class who does
that get
distributed to?
Find common
multiples and the
least common
multiple (LCM) of a
set of numbers.
What is the
simplest way to
make a
sandwich?
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Computer
Station
(commutative)
Computer
Station
(associative)
Computer
Station (identity)
Computer
Station
Suggested
Assessment
Quick Check 2.2
Possible
Resources
EngageNY!!
enVisions Lesson
2.2
Quick Check 2.4
EngageNY!!
enVisions Lesson
2.4
Computer
Station
Computer
Station
Computer
Station
Computer
Station
Quick Check 2.8
EngageNY!!
Quick Check 7.2
enVisions Lesson
2.8
EngageNY!!
enVisions Lesson
7.2
Day
Topic
Subject: Mathematics
Key SLOs
Expressions in
Simplest Form
Learning Objectives
Unit #: 3
Essential
Questions
Factor expressions
into simplest form.
Use the distributive
property.
18
Factor expressions
into simplest form.
Use the distributive
property.
19
Prime
Factorization
Identify numbers
and prime or
composite.
20
Factor numbers
into their prime
factors. (applying
SLO#5)
21
Problem Solving
– Make and Test
Conjectures
If you put all my
single parts
together what
does it
compose?
What are the
simplest parts of
Make and test
conjectures and
then revise or reject
them.
22
23
Using Mental
Math
SLO #4
Use mental math
strategies and
How would you
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Computer
Station (8th
that has to be
simplified for 6th
Computer
Station
lesson that
should be
simplified
again.)
Computer
Station
Suggested
Assessment
Possible
Resources
EngageNY!!
enVisions Lesson
5.1 & 5.3
EngageNY!!
enVisions Lesson
5.2
Computer
Station
Computer
Station (also
shown in unit 1)
Computer
Station (for
younger aged
kids but has
great problem
solving
applications.)
Computer
Station
Computer
Station
Quick Check 5.2
Quick Check 5.7
*Quiz: Factoring
and Prime
Factorization
EngageNY!!
enVisions Lesson
5.7
EngageNY!!
Day
Topic
Subject: Mathematics
Key SLOs
(CCSS 6.EE.3,
6.NS.4)
24
Learning Objectives
properties of
operations to
compute mentally.
Decompose
numbers in
expressions using
the distributive
property to solve
mentally.
Apply using mental
math to the real
world. Decompose
numbers in
expressions using
the distributive
property to solve
mentally.
Unit #: 3
Essential
Questions
Expressions
Suggested Student Activities
Small Group /
Whole Group
Stations
Suggested
Assessment
together quickly
before paying at
the store?
Authentic Application:
1. Evaluating Expressions (Summer Job)
2. Formative Assessment
3. Number Tricks
Unit Resources:
http://learnzillion.com/common_core/math/6
Dan Meyers 3 Act Lessons - Amazing Video Lessons with Activities – lots of lessons for the year.
Possible
Resources
enVisions Lesson
2.5
Computer
Station (order of
operations
mentally)
Computer
Station
Quick Check 2.5
*Quiz:
Properties and
Mental Math
Day two
activities.
Subject: Mathematics
Unit #: 3
Expressions
Connected Math
http://www.buzzmath.com/
http://www.ness.uk.com/maths/Guidance%20Documents/Teaching%20children%20to%20calculate%20mentally.pdf
Gemdas, not Pemdas!
http://illuminations.nctm.org/ActivityDetail.aspx?ID=216