number system unit plan

NUMBER SYSTEM UNIT PLAN

7TH GRADE MATHEMATICS – POUGHKEEPSIE HIGH SCHOOL

TEACHER: TIM PACCIONE

POUGHKEEPSIE MIDDLE SCHOOL – 7TH GRADE MATH CLASS

• Considered a “failing” school by the state

• Overall 7th grade proficiency rate in Mathematics is 3%, with 77% of students testing at

the lowest level (1 of 4).

• Special Education teacher is present in a co-teaching capacity throughout the lesson.

• Students in the class reside in a low socio-economic community

• 46% of the school is eligible for free or reduced lunches

• High number of behavior incidents are reported each year at the school,

• Students’ extra-curricular interests include playing sports and frequenting the local

community activity centers.

UNIT PLAN – THE NUMBER SYSTEM

• Standards:

• CCSS.Math.Content.7.NS.A.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.

• CCSS.Math.Content.7.NS.A.1.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.

• CCSS.Math.Content.7.NS.A.1.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.

• CCSS.Math.Content.7.NS.A.1.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.

• CCSS.Math.Content.7.NS.A.1.D - Apply properties of operations as strategies to add and subtract

rational numbers.


• Standards Continued:

• CCSS.Math.Content.7.NS.A.2 - Apply and extend previous understandings of

multiplication and division and of fractions to multiply and divide rational

numbers.

• CCSS.Math.Content.7.NS.A.2.C - Apply properties of operations as strategies to

multiply and divide rational numbers.

• CCSS.Math.Content.7.NS.A.2.D - Convert a rational number to a decimal using long

division; know that the decimal form of a rational number terminates in 0s or

eventually repeats.


• Standards Continued:

• CCSS.Math.Content.7.NS.A.3 - Solve real-world and mathematical problems

involving the four operations with rational numbers.

UNIT OBJECTIVES

• Students will demonstrate that an integer added to its opposite equals zero.

• Students will be able to recognize that subtracting a number is the same as

adding its opposite, representing the additive inverse.

• Students will be able to represent the division of two integers as a fraction.

• Students will apply product and quotient rules to all forms of rational numbers.

• Students will perform and understand the properties of operations with rational

numbers.

UNIT VOCABULARY

-Absolute Value

-Additive Identity

-Additive Inverse

-Associative Property

-Commutative

Property

-Difference

-Distributive

Property

-Integer

-Multiplicative

Identity

-Multiplicative

Inverse

-Product

-Quotient

-Rational Number

-Repeating Decimal

-Reciprocal

-Sum

-Terminating Decimal

-Whole Number

NUMBER SYSTEMS UNIT - LESSON ELEMENTS

1 2 3 4 5 6 7 8 9

Review Of the

Number System

Adding &

Subtracting

Integers with a

Number Line

Adding Rational

Numbers

Subtracting

Rational

Numbers

Adding &

Subtracting

Rational

Numbers in Real

Life

Multiplying &

Dividing Integers

Multiplying &

Dividing Rational

Numbers

Multiplying &

Dividing Rational

Numbers in Real

Life

Applying

Properties to

Operations

7.NS.1, 7.NS.2D 7.NS.1, 7.NS.1B 7.NS.1, 7.NS.1B 7.NS.1, 7.NS.1C7.NS.1, 7.NS.1A,

7.NS.1D, 7.NS.37.NS.2 7.NS.2, 7.NS.2C

7.NS.2, 7.NS.2C,

7.NS.3

7.NS.1D, 7.NS.2C,

7.NS.3

HOOK Pre-AssessmentPadlet -

Brainstorming

Think-Pair-Share

Activator

Activator -

Process WritingPlickers Game

Entry Ticket -

Unit Reflection

KW Portion of

KWL Chart

Activator - Solve

& Show

Activator -

Vocabulary

Matching

INSTRUCTIONGuided Notes +

Jigsaw

Guided Notes +

Integer Game

Guided Notes +

Mnemonic

Device

Guided Notes +

Learning Stations

Restaurant

Receipt Activity

Guided Notes +

Dice Game

Guided Notes +

Cooperative

Learning

Guided Notes +

Graphic

Organizer

Guided Notes +

Independent

Practice

CLOSUREVideo - Number

Types Song

Exit Ticket -

Solve and Reflect

Video - Zombie

Bridge Riddle

Create Your Own

Problem Activity

Poster

Presentations &

Flocabulary

Video

Socrative Game

in Groups

L Portion of KWL

Chart

Gallery Walk of

Graphic

Organizers

Review Sheet for

Unit

ASSESSMENT

Pre-Assessment,

Jigsaw,

Homework

Padlet, Game

Observation, Exit

Ticket &

Homework

Activator,

Mnemonic

Device

Observation,

Homework

Activator, Station

Observations,

Problems,

Homework

Plickers,

Observation of

Activity, Posters

Entry Ticket, Dice

Game

Observations,

Socrative

KWL Charts,

Observation of

Collaboration,

Homework

Activator,

Graphic

Organizers,

Homework

Activator,

Observations of

Practice,

Homework

Lesson & Common Core Standards

ELEMENT

HOOKS

Student Name:

Date:

VOCAB ? A-Z DEFINITION

Difference A One divided by a number

Integer B The solution to a division problem

Product CA number that can be written as a fraction, as a terminating

decimal, or as a repeating decimal

Quotient D The solution to a subtraction problem

Rational Number E A positive or negative number

Reciprocal F The solution to an addition problem

Sum G A positive counting number starting with 0

Whole Number H The solution to a multiplication problem

ACTIVATOR

Match the vocabulary word or phrase below with its corresponding definition.

HOOKS

Student Name:

Date:

Lesson:

Where do you think you have performed well in

the Unit so far? What do you think you

understand best?

Where do you think you are struggling in the Unit

so far? What do you understand least?

ENTRY TICKET

Use the below space to reflect on your progress in the Number

System Unit. Follow the prompts to guide your thoughts.

STRENGTHS WEAKNESSES

What would you like to learn or get better at during the rest of the Unit? Use the space below to

describe where you think you can improve and what you need to do in order to make sure you it

happens.

OPPORTUNITIES

INSTRUCTION

INSTRUCTION

Student Name: Date:

Explanation and Example: Explanation and Example:

Explanation and Example: Explanation and Example:

PLACE # 3: PLACE # 4:Drawing: Drawing:

GRAPHIC ORGANIZER

In the spaces below, choose four places where you might multiply or divide rational numbers in real life. For each place,

draw a picture of the situation, and below that explain why you chose that place. Finally, include an example of the

mutliplication or division that occurs.

PLACE # 1: PLACE # 2:Drawing: Drawing:

CLOSURE

FINAL ASSESSMENT

Review Of

the Number

System

Adding &

Subtracting

Integers with

a Number

Line

Adding

Rational

Numbers

Subtracting

Rational

Numbers

Adding &

Subtracting

Rational

Numbers in

Real Life

Multiplying

& Dividing

Integers

Multiplying

& Dividing

Rational

Numbers

Multiplying

& Dividing

Rational

Numbers in

Real Life

Applying

Properties to

Operations

7.NS.1,

7.NS.2D

7.NS.1,

7.NS.1B

7.NS.1,

7.NS.1B

7.NS.1,

7.NS.1C

7.NS.1,

7.NS.1A,

7.NS.1D,

7.NS.3

7.NS.27.NS.2,

7.NS.2C

7.NS.2,

7.NS.2C,

7.NS.3

7.NS.1D,

7.NS.2C,

7.NS.3

1 MATCHING 3 3

2 MATCHING 3 3

3 TRUE/FALSE 2 2

4 TRUE/FALSE 2 2

5 TRUE/FALSE 2 2

6 TRUE/FALSE 3 3

7 MULTIPLE CHOICE 3 3






13 SHORT ANSWER 3 3

14 SHORT ANSWER 2 2

15 SHORT ANSWER 3 3

16 SHORT ANSWER 3 3

17 SHORT ANSWER 2 2

18 SHORT ANSWER 2 2

5 5 5 5 5 5 5 5 5 45TOTAL

Lesson & Common Core Standards

Number Systems Exam - Point Distribution

TOTALPROBLEM

#PROBLEM TYPE

FINAL ASSESSMENT

number system unit plan

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