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Transcript
Middle School
1st Nine Weeks Plan
Course: 7th Grade Math
Dates: Aug. 17th-Oct. 13th
Grade Level:7th
Standard with Code:
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue
to satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and
the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1 Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Domain:
The Number System
Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational
numbers.
7.NS.2d_X_Knowledge 7.NS.1abcd, 7.NS.2abc, 7.NS.3_X_Reasoning
Knowledge Targets:
7.NS.1 Describe situations in
which opposite quantities combine
to make 0.
7.NS.1 Know that a number and its
opposite have a sum of 0 and are
Reasoning Targets:
7.NS.1 Apply and extend previous
understanding to represent addition
and subtraction problems of rational
numbers with a horizontal or
vertical number line.
__Performance Skill
__Product
Performance Skill Targets:
Product Targets:
additive inverses.
7.NS.1 Know that when adding two
numbers, p + q, if q is positive, the
sum of p and q will be |q| spaces to
the right of p on the number line.
7.NS.1 Know that when adding two
numbers, p + q, if q is negative, the
sum of p and q will be |q| spaces to
the left of p on the number line.
7.NS.1 Identify subtraction of
rational numbers as adding the
additive inverse property to subtract
rational numbers, p – q = p + (-q).
7.NS.1 Identify properties of
addition and subtraction when
adding and subtracting rational
numbers.
7.NS.2 Show that the distance
between two rational numbers on
the number line is the absolute
value of their difference.
7.NS.1 Interpret sums of rational
numbers by describing real-world
contexts.
7.NS.1 Analyze and explain why
the sum of p + q is located a
distance of |q| in the positive or
negative direction from p on a
number line.
7.NS.1 Apply the additive inverse
property to subtract rational
numbers, p-q = p +(-q).
7.NS.1 Apply the principle of
subtracting rational numbers in
real-world contexts.
7.NS.1 Apply properties of
operations as strategies to add and
subtract rational numbers.
7.NS.3 Solve real-world
mathematical problems by adding,
subtracting, multiplying, and
dividing rational numbers, including
complex fractions.
7.NS.1 Add rational numbers.
7.NS.1 Subtract rational numbers.
7.NS.2 Multiply rational numbers.
7.NS.2 Divide rational numbers.
7.NS.2 Recognize that the process
for multiplying fractions can be
used to multiply rational numbers
including integers.
7.NS.2 Know and describe the
rules when multiplying signed
numbers.
7.NS.2 Explain why integers can
7.NS.2 Apply the properties of
operations, particularly distributive
property, to multiply rational
numbers.
7.NS.2 Interpret the products of
rational numbers by describing realworld contexts.
7.NS.2 Interpret the quotient of
rational numbers by describing realworld contexts.
7.NS.2 Apply properties of
operations as strategies to multiply
and divide rational numbers.
be divided except when the divisor
is 0.
7.NS.2 Describe why the quotient
is always a rational number.
7.NS.2 Know and describe the
rules when dividing signed
numbers.
7.NS.2 Recognize that –(p/q) = p/q = p/-q.
7.NS.2 Identify how properties of
operations can be used to multiply
and divide rational numbers (such
as distributive property,
multiplicative inverse property,
multiplicative identity, commutative
property for multiplication,
associative property for
multiplication, etc.).
7.NS.2 Convert a rational number
to a decimal using long division.
7.NS.2 Explain that the decimal
form of a rational number
terminates (stops) in zeroes or
repeats.
Make sense of
problems and
persevere in
solving them.
7.NS.2abc
Reason
abstractly and
quantitatively.
7.NS.1abcd,
7.NS.2ab,
7.NS.3
Construct viable
arguments and
critique the
reasoning of
others.
Model with
mathematics.
7.NS.1abcd,
7.NS.2ab
Use appropriate
tools
strategically.
Attend to
precision.
7.NS.1abcd,
7.NS.2d, 7.NS.3
Look for and
make use of
structure.
7.NS.1abcd,
7.NS.2c
College Readiness Standards:
Basic Operations & Applications (BOA)
BOA301- Solve routine one-step arithmetic problems (using whole numbers, fractions, and decimals) such as single-step percent.
BOA302- Solve some routine two-step arithmetic problems.
Numbers: Concepts & Properties (NCP)
NCP301- Recognize one-digit factors of a number.
NCP302- Identify a digit’s place value.
Look for and
express
regularity in
repeated
reasoning.
7.NS.2cd
Middle Grades Mathematics Planning
Date: Aug. 17th-Aug. 19th
Common Core #:
7.NS.1, 7.NS.3
Teachers:
Grade: 7th
1 2 3 4
College Readiness:
BOA301, BOA302
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, whole number, sum, difference, addend, subtrahend, minuend, additive inverse, inverse, additive identity, absolute value
Standard with Code:
Weekly Plan-1
Monday: NO SCHOOL!!
Tuesday: NO SCHOOL!!
Wednesday:
Thursday:







Assessments:
X
Multiple Choice
Open Response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector,
PowerPoint Presentations
Intro
Rules and
Procedures
Expectations
“I Can” Statements
Automaticity-define
and intro
Supply List
Name Game
Friday:




Automaticity
Practice
Kahnacademy.org
Practice with boards
Review rules,
procedures and
expectations
Assessment Description or Commentary
Interventions: Students will receive modifications according to their IEPs.
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from Learning Checks.
Middle Grades Mathematics Planning
Teachers
Grade: 7th
Date: Aug. 22nd- Aug. 26th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness:
BOA301, BOA302, NCP301
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, whole number, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number
line, additive inverse, inverse, additive identity, absolute value, factor, product, divisor, dividend, quotient, remainder, integer, negative integer, positive
integer
Standard with Code:
Weekly Plan-2
Monday:
 Automaticity
Diagnostic Test
 7th Grade Diagnostic
Test
Tuesday: Examples of and
Identify integers, fractions,
decimals, percents, and pi
10 min: Automaticity
15 min: New Content
Real number system
(Rational and Irrational
numbers) Graphic Organizer
Wednesday: : Integers on
the # line, comparing &
ordering Integers, Absolute
value & opposite Integers
6 min: Automaticity
Thursday: Adding Integers
Friday: Adding Integers
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
10 min: Flashback
8 min: Homework Review
Integers on the # line,
comparing & ordering
Integers, Absolute value &
opposite Integers
8 min: Homework Review
Adding Integers
5 min: Real number system
•Vocabulary= Frayer Model
8 min: Homework Review
Integers on the # line,
comparing & ordering
Integers, Absolute value &
opposite Integers
5 min: Post-it note activity
5 min: Homework
3 min: Exit Slip
15 min: New Content
2-1 and 2-2 Study Text and
Resource Masters
8 min: Homework
15 min: New Content
2-4 Study Text and
Resource Masters
8 min: Homework
15 min: New Content
2-4 Study Text and
Resource Masters
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
Assessments:
X
Assessment Description or Commentary
Multiple Choice
X 10 multiple choice
Open Response
X 1 open response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Standard with Code:
Date: Aug. 29th – Sept. 2nd
Common Core #:
7.NS.1
1 2 3 4
College Readiness:
BOA301,BOA302, NCP301
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, integer, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute
value, negative integer, positive integer
Weekly Plan-3
Monday: Sub. Integers
Tuesday: Sub. Integers
Wednesday: Sub. Integers
Thursday: x Integers
Friday: x,/ Integers
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Mad Minute
8 min: Homework Review
Adding Integers
8 min: Homework Review
Sub. Integers
10 min: Review +/- integers
Read “I can” statements
10 min: Review +/- integers
30 min: Bi-weekly #1
15 min: New Content
2-5 Study Text and
Resource Masters
Word problem practice
8 min: Homework Review
Sub. Integers
8 min: Homework Review
Sub. Integers
8 min: Homework Review
x Integers
Read “I can” statements
15 min: New Content
2-5 Study Text and
Resource Masters
Subtracting Integers
*Method #1 “counters”
*Method #2 “# line”
*Method #3 “Rules
8 min: Homework
3 min: Exit Slip
10 min: Practice with
boards (formative)
15 min: Homework Check
retakes=Comparing &
Ordering integers, adding
integers, subtracting
integers
8 min: Homework
3 min: Exit Slip
8 min: Homework (Pairs)
15 min: New Content
 Analogy of x,/ of
integers rules
 Rules
 Practice on boards
(formative)
8 min: Homework (pairs)
2-6 Study Text and
Resource Masters
3 min: Exit Slip
3 min: Exit Slip
Assessments:
Multiple Choice
Open Response
Formative
X
X Flashback, Exit Slips
Assessment Description or Commentary
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Date: Sept. 6th – Sept. 9th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness: BOA301,
BOA302,NCP301
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, integer, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute
value, factor, product, divisor, dividend, quotient, remainder negative integer, positive integer, commutative property, associative property, identity
property, distributive property
Standard with Code:
Weekly Plan-4
Monday: x,/ Integers
Tuesday: Review Integers
Wednesday: Learning Check
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
20 min: Presentations
20 min: Learning Check
40 min:
Group Presentation Posters
(Students will work in
groups of 3-4. They will be
given a set of unique word
problems dealing with
integers. They will create a
poster by 1. Writing each
problem in own words. 2.
Using and explain the
method used to solve the
problems. 3. Writing the
solution in complete
sentence.)
-Rubric
20 min: Review game “The 5 min: Vocabulary (Frayer
Model)
Unfair Math Game”
3 min: Exit Slip
Thursday: Place Value/
Rounding
6 min: Automaticity
6 min: Automaticity
10 min: Review Learning
Check
8 min: CRCS review
8 min: CRCS review
10 min: New Content
10 min: New Content
3-3 6th Grade Study Text and
ixl.com
3-3 6th Grade Study Text and
ixl.com
10min: Homework
3 min: Exit Slip
Friday: +/- Decimals
10 min: Flashback
8 min: Homework Review
Place Value/ Rounding
15 min: New Content
Glencoe course 1
Study Text 3-5 page 81
8 min: Homework
Glencoe course 1
Studytext
3 min: Exit Slip
3 min: Exit Slip
Assessments:
X
Assessment Description or Commentary
Multiple Choice
X 10 multiple choice
Open Response
X 1 open response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Standard with Code:
Date: Sept. 12th – Sept. 16th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness: BOA301,
BOA302, NCP301, NCP302
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, decimal, terminating, repeating, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse,
additive identity, absolute value, factor, product, place value, rounding
Weekly Plan-5
Monday: +/- Decimals
Tuesday: Mult. Decimals
Wednesday: Mult. Decimals
Thursday: Divide Decimals
Friday: Divide Decimals
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
10 min: Flashback
10 min: Flashback
10 min: Flashback
8 min: Homework Review
+/- Decimals
8 min: Homework Review
+/- Decimals
8 min: Homework Review
Mult. Decimals
8 min: Homework Review
Mult. Decimals
8 min: Homework Review
Divide Decimals
15 min: New Content
Resource Materials
15 min: New Content
3-6 and 3-7: 6th Grade Study
Text
15 min: New Content
3-6 and 3-7 6th Grade Study
Text
15 min: New Content
3-8 and 3-9 6th Grade Study
Text
15 min: New Content
Resource Materials
8 min: Homework
8 min: Homework
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
8 min: Homework
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
Assessments:
X
Assessment Description or Commentary
Multiple Choice
Open Response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Date: Sept. 19th – Sept. 23rd
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness: BOA301,
BOA302, NCP301, NCP302
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, decimal, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number line,
additive inverse, inverse, additive identity, absolute value, factor, product, divisor, dividend, quotient, remainder
Standard with Code:
Weekly Plan-6
Monday: Divide Decimals
Tuesday: Learning Check
6 min: Automaticity
Wednesday: Equiv.
fractions/ simplifying
fractions
Thursday: Converting
between mixed # & Improper
fraction
6 min: Automaticity
10 min: Flashback
10 min: Flashback
6 min: Automaticity
6 min: Automaticity
8 min: Homework Review
Divide Decimals
8 min: Homework Review
Divide Decimals
10 min: Flashback
10 min: Flashback
8 min: Homework Review
8 min: Homework Review
Equiv. fractions/ simplifying
fractions
15 min: New Content
8 min: Homework
Resource Materials
15 min: New Content
4-4 Resource Masters & 6th
Grade 4-2 Study Text
3 min: Exit Slip
8 min: Homework
Friday: Least Common
Denominator
6 min: Automaticity
10 min: Flashback
15 min: New Content
4-3 6th Grade Study Text
8 min: Homework Review
converting between mixed #
& Improper fraction
15 min: New Content
4-8 Study Text
8 min: Homework
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
Assessments:
X
Assessment Description or Commentary
Multiple Choice
X 10 multiple choice
Open Response
X 1 open response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Standard with Code:
Date: Sept. 26th – Sept. 30th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness: BOA301,
BOA302, NCP301
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, fraction, integer, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number
line, additive inverse, inverse, additive identity, absolute value, factor, product, mixed number, simplest form, like fractions, unlike fractions, greatest
common factor, improper fractions
Weekly Plan- 7
Monday: +/- Fractions
Tuesday: +/- Fractions
Wednesday: +/- Fractions
Thursday: Mult. Fractions
Friday: Mult. Fractions
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
10 min: Flashback
10 min: Flashback
10 min: Flashback
8 min: Homework Review
Least Common Denominator
8 min: Homework Review
+/- Fractions
8 min: Homework Review
+/- Fractions
8 min: Homework Review
+/- Fractions
8 min: Homework Review
Mult. Fractions
15 min: New Content
5-2 & 5-3 Study Text
15 min: New Content
5-2 & 5-3 Study Text
15 min: New Content
5-2 & 5-3 Study Text
15 min: New Content
5-5 Study Text
15 min: New Content
5-5 Study Text
8 min: Homework
8 min: Homework
8 min: Homework
8 min: Homework
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
Assessments:
Multiple Choice
Open Response
X
Assessment Description or Commentary
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Date: Oct. 3rd – Oct. 7th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
Teachers:
Grade: 7th
1 2 3 4
College Readiness: BOA301,
BOA302, NCP301
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: rational number, fraction, integer, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number
line, additive inverse, inverse, additive identity, absolute value, factor, product, mixed number, simplest form, like fractions, unlike fractions, greatest
common factor, improper fractions, reciprocal, integer, negative integer, positive integer, opposites
Standard with Code:
Weekly Plan- 8
Monday: Divide Fractions
Tuesday: Divide Fractions
Wednesday: Fraction Review
Thursday: comparing &
ordering rational #s
Friday: Converting between
fractions & decimals
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
10 min: Flashback
8 min: Homework Review
Mult. Fractions
8 min: Homework Review
Divide Fractions
8 min: Homework Review
Divide Fractions
15 min: New Content
15 min: New Content
15 min: New Content
Kutasoftware.com
5-7 Study Text
5-7 Study Text
8 min: Homework
8 min: Homework
8 min: Homework
3 min: Exit Slip
3 min: Exit Slip
3 min: Exit Slip
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
8 min: Homework Review
Fraction Review
8 min: Homework Review
comparing & ordering
rational #s
15 min: New Content
4-9 Study Text
8 min: Homework
3 min: Exit Slip
15 min: New Content
4-5 Study Text
8 min: Homework
3 min: Exit Slip
Assessments:
X
Assessment Description or Commentary
Multiple Choice
Open Response
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.
Middle Grades Mathematics Planning
Teachers:
Grade: 7th
Standard with Code:
Date: Oct. 10th – Oct. 13th
Common Core #:
7.NS.1, 7.NS.2, 7.NS.3
1 2 3 4
College Readiness: BOA301,
BOA302, NCP301, NCP302
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
represent addition and subtraction on a horizontal or vertical number line diagram.
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge
because its two constituents are oppositely charged.
b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
Interpret sums of rational numbers by describing real-world contexts.
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance
between two rational numbers on the number line is the absolute value of their difference, and apply this principle in
real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide
rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1) = 1 and the
rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with
nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational
numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number
terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1
1Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Vocabulary: commutative property, associative property, identity property, distributive property, SEE PREVIOUS NINE WEEKS
Weekly Plan- 9
Monday: Converting
between fractions &
decimals
Tuesday: Learning Check
Wednesday: Review for Final
Thursday: Final
Friday: Final (Test Analysis)
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
6 min: Automaticity
10 min: Flashback
10 min: Flashback
30 min: Flashback
Resource Materials
8 min: Homework Review
Converting between
fractions & decimals
8 min: Homework Review
Converting between
fractions & decimals
8 min: Homework
Study for Final
3 min: Exit Slip
15 min: New Content
4-5 Study Text
8 min: Homework
3 min: Exit Slip
Assessments:
Multiple Choice
Open Response
X
X
X
Assessment Description or Commentary
Formative
X Flashback, Exit Slips
Assessment
Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs.
Presentations
Flashbacks will be used as a daily re-teaching strategy to cover material
most often missed from bi-weekly exams.