SlideShare a Scribd company logo
What are
Integers?
Learning Objective
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
Integers
Let’s look at a few numbers!
Integers
What do you notice?
Integers
What do you notice?
____________
Numbers.
Integers
What do you notice?
Natural
Numbers.
Integers
What do you notice?
Natural
Numbers.
___________
Numbers.
Integers
What do you notice?
Natural
Numbers.
Whole
Numbers.
Integers
What do you notice?
Natural
Numbers.
Whole
Numbers.
__________
Numbers.
Integers
What do you notice?
Natural
Numbers.
Whole
Numbers.
Integer
Numbers.
Integers
________________ are also called counting numbers, e.g.
1,2,3,4,5…
Key terms:
Integers
Natural numbers are also called counting numbers, e.g.
1,2,3,4,5…
Key terms:
Integers
Natural numbers are also called counting numbers, e.g.
1,2,3,4,5…
_______________ are collection of natural numbers and
zero.
Key terms:
Integers
Natural numbers are also called counting numbers, e.g.
1,2,3,4,5…
Whole numbers are collection of natural numbers and
zero.
Key terms:
Integers
Natural numbers are also called counting numbers, e.g.
1,2,3,4,5…
Whole numbers are collection of natural numbers and
zero.
_________ are collection of whole numbers and negative
numbers.
Key terms:
Integers
Natural numbers are also called counting numbers, e.g.
1,2,3,4,5…
Whole numbers are collection of natural numbers and
zero.
Integers are collection of whole numbers and negative
numbers.
Key terms:
Integers
Let’s revise more!
On a number line,
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the _______.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the ______.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the left.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the left.
3) subtract a positive integer, we move to the ______.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the left.
3) subtract a positive integer, we move to the left.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the left.
3) subtract a positive integer, we move to the left.
4) subtract a negative integer, we move to the _____.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
Let’s revise more!
On a number line, when we:
1) add a positive integer, we move to the right.
2) add a negative integer, we move to the left.
3) subtract a positive integer, we move to the left.
4) subtract a negative integer, we move to the right.
0 1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
-9
Integers
What is additive inverse?
Integers
What is additive inverse?
An additive inverse of a number ‘a’, is the number that when
added to a gives the answer 0.
Integers
Well
done!
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
a) Observe this number line and write the temperature of the places marked on it.
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
a) Observe this number line and write the temperature of the places marked on it.
Ans. -8°C, -2°C, 5°C, 14°C, 22°C
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
b) What is the temperature difference between the hottest and the coldest places
among the above?
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
b) What is the temperature difference between the hottest and the coldest places
among the above?
Ans. 30°C
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
c) What is the temperature difference between Lahulspiti and Srinagar?
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
c) What is the temperature difference between Lahulspiti and Srinagar?
Ans. 6°C
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
d) Can we say temperature of Srinagar and Shimla taken together is less than the
temperature at Shimla? Is it also less than the temperature at Srinagar?
Integers
Following number line shows the temperature in degree Celsius (°C) at
different places on a particular day.
d) Can we say temperature of Srinagar and Shimla taken together is less than the
temperature at Shimla? Is it also less than the temperature at Srinagar?
Ans. Yes, the temperature of Srinagar and Shimla taken together is less than the
temperature at Shimla. But, it is not less than the temperature at Srinagar.
Integers
In a magic square each row, column and diagonal have the same sum. Check
which of the following is a magic square.
Integers
In a magic square each row, column and diagonal have the same sum. Check
which of the following is a magic square.
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
<
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
<
<
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
<
<
<
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
<
<
<
<
Integers
Use the sign of >, < or = in the box to make the statements
true.
a) (-8) + (-4) (-8) – (-4)
b) (-3) + 7 – (19) 15 – 8 + (-9)
c) 23 – 41 + 11 23 – 41 – 11
d) 39 + (-24) – (15) 36 + (-52) – (-36)
e) -231 + 79 + 51 -399 + 159 + 81
<
<
<
<
<
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
Integers
Let’s look at some properties of Integers!
Integers
Let’s look at some properties of Integers!
1. Closure property
What
does that
mean?
Integers
Let’s look at some properties of Integers!
1. Closure property
When you add two integers, the sum is also an integer.
What
does that
mean?
Integers
Let’s look at some properties of Integers!
1. Closure property
When you add two integers, the sum is also an integer.
Thus, it is said that integers are closed under addition.
Integers
Let’s look at some properties of Integers!
1. Closure property
When you add two integers, the sum is also an integer.
Thus, it is said that integers are closed under addition.
When you subtract two integers, the difference is also an
integer.
Integers
Let’s look at some properties of Integers!
1. Closure property
When you add two integers, the sum is also an integer.
Thus, it is said that integers are closed under addition.
When you subtract two integers, the difference is also an
integer. Thus, it is said that integers are closed under
subtraction.
Integers
Let’s look at some properties of Integers!
2. Commutative property
What
does that
mean?
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) + (8)
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) + (8) = 5 & (8) + (-3)
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) + (8) = 5 & (8) + (-3) = 5
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) + (8) = 5 & (8) + (-3) = 5
Integers can be added in any order, thus addition is
commutative for integers.
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) - (8)
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) - (8) = -11 & (8) - (-3)
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) - (8) = -11 & (8) - (-3) = 11
Integers
Let’s look at some properties of Integers!
2. Commutative property
Let’s consider,
(-3) - (8) = -11 & (8) - (-3) = 11
Integers cannot be subtracted in any order, thus subtraction
is not commutative for integers.
Integers
Let’s look at some properties of Integers!
3. Associative property
What
does that
mean?
Integers
Let’s look at some properties of Integers!
3. Associative property
Let’s consider,
(-5) + [(-3) + (-2)]
Integers
Let’s look at some properties of Integers!
3. Associative property
Let’s consider,
(-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2)
Integers
Let’s look at some properties of Integers!
3. Associative property
Let’s consider,
(-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2) = -10
Integers
Let’s look at some properties of Integers!
3. Associative property
Let’s consider,
(-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2) = -10
Integers can be added in any manner of order, thus addition
is associative for integers.
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
To revise concepts based on integers
To test integer concepts
To interpret addition and subtraction properties
Learning Outcomes
How confident do you feel?
What are
Integers?
Learning Objective
Integers
Learning Activity
In a quiz, team A scored – 40, 10, 0 and team B scored
10, 0, – 40 in three successive rounds.
Which team scored more?
Can we say that we can add integers in any order?
7th maths-1.concept , addition and subtraction properties of intergers-sangh

More Related Content

PPTX
PROPERTIES OF THE OPERATIONS ON INTEGERS
PPTX
Greatest Common Factor
PPTX
Prime Factorization
PPTX
GREATEST COMMON FACTOR AND LEAST COMMON MULTIPLE
PPTX
Math Algebra
PDF
Multiplication of radicals
PPTX
Graphing linear equations
PPTX
Least common multiple (lcm) & greatest
PROPERTIES OF THE OPERATIONS ON INTEGERS
Greatest Common Factor
Prime Factorization
GREATEST COMMON FACTOR AND LEAST COMMON MULTIPLE
Math Algebra
Multiplication of radicals
Graphing linear equations
Least common multiple (lcm) & greatest

What's hot (20)

PPTX
Oprations Of Decimal Numbers
PPTX
Multiplication and division of fractions
PPTX
Fraction & types of fraction
PPTX
CLASS VII -operations on rational numbers(1).pptx
PPTX
4. lesson 3 addition of whole numbers
PPTX
Division of whole numbers
PPT
Evaluating Algebraic Expressions
PPT
Add & subtract mixed numbers
PPTX
Adding Fractions
PPT
Adding And Subtracting Fractions
PPTX
Math 6 - Order of Operations GEMDAS.pptx
PPTX
Ratio and proportion
PPSX
Multiplying and dividing fractions
PDF
Adding similar fractions
PPTX
Rational algebraic expressions
PPT
Solving 2 step equations
PPT
Simplification of Fractions and Operations on Fractions
PPTX
Algebra Expressions in Word Problems
PPT
Multiplying polynomials
PPTX
3 2 solving systems of equations (elimination method)
Oprations Of Decimal Numbers
Multiplication and division of fractions
Fraction & types of fraction
CLASS VII -operations on rational numbers(1).pptx
4. lesson 3 addition of whole numbers
Division of whole numbers
Evaluating Algebraic Expressions
Add & subtract mixed numbers
Adding Fractions
Adding And Subtracting Fractions
Math 6 - Order of Operations GEMDAS.pptx
Ratio and proportion
Multiplying and dividing fractions
Adding similar fractions
Rational algebraic expressions
Solving 2 step equations
Simplification of Fractions and Operations on Fractions
Algebra Expressions in Word Problems
Multiplying polynomials
3 2 solving systems of equations (elimination method)
Ad

Similar to 7th maths-1.concept , addition and subtraction properties of intergers-sangh (20)

PDF
Math Chapter 1 - Integers
PDF
Math Power 7th Grade 1st Edition Anita Rajput
PPT
Real numbers system
PPTX
Integers
PDF
GMAT | Quant Basics | MBA Classes
PDF
Ch 1 integers
PPTX
MATHEMATICS GRADE SIX - QUARTER 2 WEEK 8
PPT
นำเสนอจำนวนจริงเพิ่มเติม
PDF
Κεφάλαιο 7ο - Α΄ Γυμνασίου
PPTX
Class 6 - Maths (Integers).pptx
PPTX
Integers
PPTX
Real-Number-System.pptx
PDF
powerpointfull-140924104315-phpapp02 (1).pdf
PPTX
ix-number system-ppt(2).pptx
PPT
Integers_Intro.ppt
PPTX
Number System2.pptx
PDF
Easy maths
PDF
8 maths-ncert-chapter-1
PDF
Number systems / Algebra
PPT
Order of Operation- integers---------.ppt
Math Chapter 1 - Integers
Math Power 7th Grade 1st Edition Anita Rajput
Real numbers system
Integers
GMAT | Quant Basics | MBA Classes
Ch 1 integers
MATHEMATICS GRADE SIX - QUARTER 2 WEEK 8
นำเสนอจำนวนจริงเพิ่มเติม
Κεφάλαιο 7ο - Α΄ Γυμνασίου
Class 6 - Maths (Integers).pptx
Integers
Real-Number-System.pptx
powerpointfull-140924104315-phpapp02 (1).pdf
ix-number system-ppt(2).pptx
Integers_Intro.ppt
Number System2.pptx
Easy maths
8 maths-ncert-chapter-1
Number systems / Algebra
Order of Operation- integers---------.ppt
Ad

More from LiveOnlineClassesInd (20)

PPTX
1th physics-laws of motion-force and inertia
PPTX
9th igcse-physics-moments of force
PPTX
Pythagoras Theorem Graphs
PPTX
PPTX
12th CBSE - Biomolecules
PPTX
11. 7th CBSE - Transportation in Plants and Animals
PPTX
7th Maths - Properties Of Rational Numbers
PPTX
7th icse - biology - Nutrition in Animals and Plants
PPTX
12th Cbse - Biomolecules
PPTX
9th- Why Do We Fall Ill - Cbse - Biology
PPTX
Year 8 -Term 2- Unit 4 - Lesson 3- Neutralization
PPTX
Electrochemistry - CBSE
PDF
Informal Letter
PDF
7th Modal Verb Part 2
PPTX
Interjections
PPTX
8th article writing
PPTX
PDF
7th-Modal Verb Part 2 CBSE
PPTX
10 TH - Life Process - cbse - biology
PPTX
7th Modals Verbs Cbse
1th physics-laws of motion-force and inertia
9th igcse-physics-moments of force
Pythagoras Theorem Graphs
12th CBSE - Biomolecules
11. 7th CBSE - Transportation in Plants and Animals
7th Maths - Properties Of Rational Numbers
7th icse - biology - Nutrition in Animals and Plants
12th Cbse - Biomolecules
9th- Why Do We Fall Ill - Cbse - Biology
Year 8 -Term 2- Unit 4 - Lesson 3- Neutralization
Electrochemistry - CBSE
Informal Letter
7th Modal Verb Part 2
Interjections
8th article writing
7th-Modal Verb Part 2 CBSE
10 TH - Life Process - cbse - biology
7th Modals Verbs Cbse

Recently uploaded (20)

PDF
Practical Manual AGRO-233 Principles and Practices of Natural Farming
PPTX
Orientation - ARALprogram of Deped to the Parents.pptx
PDF
Classroom Observation Tools for Teachers
PPTX
CHAPTER IV. MAN AND BIOSPHERE AND ITS TOTALITY.pptx
PPTX
202450812 BayCHI UCSC-SV 20250812 v17.pptx
PDF
Weekly quiz Compilation Jan -July 25.pdf
PDF
SOIL: Factor, Horizon, Process, Classification, Degradation, Conservation
PPTX
1st Inaugural Professorial Lecture held on 19th February 2020 (Governance and...
PDF
ChatGPT for Dummies - Pam Baker Ccesa007.pdf
PPTX
Introduction-to-Literarature-and-Literary-Studies-week-Prelim-coverage.pptx
PPTX
Final Presentation General Medicine 03-08-2024.pptx
PDF
What if we spent less time fighting change, and more time building what’s rig...
PPTX
Chinmaya Tiranga Azadi Quiz (Class 7-8 )
DOC
Soft-furnishing-By-Architect-A.F.M.Mohiuddin-Akhand.doc
PDF
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape
PPTX
Final Presentation General Medicine 03-08-2024.pptx
PDF
LDMMIA Reiki Yoga Finals Review Spring Summer
PPTX
Introduction to Building Materials
PPTX
A powerpoint presentation on the Revised K-10 Science Shaping Paper
PDF
OBE - B.A.(HON'S) IN INTERIOR ARCHITECTURE -Ar.MOHIUDDIN.pdf
Practical Manual AGRO-233 Principles and Practices of Natural Farming
Orientation - ARALprogram of Deped to the Parents.pptx
Classroom Observation Tools for Teachers
CHAPTER IV. MAN AND BIOSPHERE AND ITS TOTALITY.pptx
202450812 BayCHI UCSC-SV 20250812 v17.pptx
Weekly quiz Compilation Jan -July 25.pdf
SOIL: Factor, Horizon, Process, Classification, Degradation, Conservation
1st Inaugural Professorial Lecture held on 19th February 2020 (Governance and...
ChatGPT for Dummies - Pam Baker Ccesa007.pdf
Introduction-to-Literarature-and-Literary-Studies-week-Prelim-coverage.pptx
Final Presentation General Medicine 03-08-2024.pptx
What if we spent less time fighting change, and more time building what’s rig...
Chinmaya Tiranga Azadi Quiz (Class 7-8 )
Soft-furnishing-By-Architect-A.F.M.Mohiuddin-Akhand.doc
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape
Final Presentation General Medicine 03-08-2024.pptx
LDMMIA Reiki Yoga Finals Review Spring Summer
Introduction to Building Materials
A powerpoint presentation on the Revised K-10 Science Shaping Paper
OBE - B.A.(HON'S) IN INTERIOR ARCHITECTURE -Ar.MOHIUDDIN.pdf

7th maths-1.concept , addition and subtraction properties of intergers-sangh

  • 2. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes
  • 3. Integers Let’s look at a few numbers!
  • 5. Integers What do you notice? ____________ Numbers.
  • 6. Integers What do you notice? Natural Numbers.
  • 7. Integers What do you notice? Natural Numbers. ___________ Numbers.
  • 8. Integers What do you notice? Natural Numbers. Whole Numbers.
  • 9. Integers What do you notice? Natural Numbers. Whole Numbers. __________ Numbers.
  • 10. Integers What do you notice? Natural Numbers. Whole Numbers. Integer Numbers.
  • 11. Integers ________________ are also called counting numbers, e.g. 1,2,3,4,5… Key terms:
  • 12. Integers Natural numbers are also called counting numbers, e.g. 1,2,3,4,5… Key terms:
  • 13. Integers Natural numbers are also called counting numbers, e.g. 1,2,3,4,5… _______________ are collection of natural numbers and zero. Key terms:
  • 14. Integers Natural numbers are also called counting numbers, e.g. 1,2,3,4,5… Whole numbers are collection of natural numbers and zero. Key terms:
  • 15. Integers Natural numbers are also called counting numbers, e.g. 1,2,3,4,5… Whole numbers are collection of natural numbers and zero. _________ are collection of whole numbers and negative numbers. Key terms:
  • 16. Integers Natural numbers are also called counting numbers, e.g. 1,2,3,4,5… Whole numbers are collection of natural numbers and zero. Integers are collection of whole numbers and negative numbers. Key terms:
  • 17. Integers Let’s revise more! On a number line, 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 18. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the _______. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 19. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 20. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the ______. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 21. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the left. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 22. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the left. 3) subtract a positive integer, we move to the ______. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 23. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the left. 3) subtract a positive integer, we move to the left. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 24. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the left. 3) subtract a positive integer, we move to the left. 4) subtract a negative integer, we move to the _____. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 25. Integers Let’s revise more! On a number line, when we: 1) add a positive integer, we move to the right. 2) add a negative integer, we move to the left. 3) subtract a positive integer, we move to the left. 4) subtract a negative integer, we move to the right. 0 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
  • 27. Integers What is additive inverse? An additive inverse of a number ‘a’, is the number that when added to a gives the answer 0.
  • 29. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 30. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 31. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. a) Observe this number line and write the temperature of the places marked on it.
  • 32. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. a) Observe this number line and write the temperature of the places marked on it. Ans. -8°C, -2°C, 5°C, 14°C, 22°C
  • 33. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. b) What is the temperature difference between the hottest and the coldest places among the above?
  • 34. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. b) What is the temperature difference between the hottest and the coldest places among the above? Ans. 30°C
  • 35. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. c) What is the temperature difference between Lahulspiti and Srinagar?
  • 36. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. c) What is the temperature difference between Lahulspiti and Srinagar? Ans. 6°C
  • 37. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?
  • 38. Integers Following number line shows the temperature in degree Celsius (°C) at different places on a particular day. d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar? Ans. Yes, the temperature of Srinagar and Shimla taken together is less than the temperature at Shimla. But, it is not less than the temperature at Srinagar.
  • 39. Integers In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.
  • 40. Integers In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.
  • 41. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81
  • 42. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81 <
  • 43. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81 < <
  • 44. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81 < < <
  • 45. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81 < < < <
  • 46. Integers Use the sign of >, < or = in the box to make the statements true. a) (-8) + (-4) (-8) – (-4) b) (-3) + 7 – (19) 15 – 8 + (-9) c) 23 – 41 + 11 23 – 41 – 11 d) 39 + (-24) – (15) 36 + (-52) – (-36) e) -231 + 79 + 51 -399 + 159 + 81 < < < < <
  • 47. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 48. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 49. Integers Let’s look at some properties of Integers!
  • 50. Integers Let’s look at some properties of Integers! 1. Closure property What does that mean?
  • 51. Integers Let’s look at some properties of Integers! 1. Closure property When you add two integers, the sum is also an integer. What does that mean?
  • 52. Integers Let’s look at some properties of Integers! 1. Closure property When you add two integers, the sum is also an integer. Thus, it is said that integers are closed under addition.
  • 53. Integers Let’s look at some properties of Integers! 1. Closure property When you add two integers, the sum is also an integer. Thus, it is said that integers are closed under addition. When you subtract two integers, the difference is also an integer.
  • 54. Integers Let’s look at some properties of Integers! 1. Closure property When you add two integers, the sum is also an integer. Thus, it is said that integers are closed under addition. When you subtract two integers, the difference is also an integer. Thus, it is said that integers are closed under subtraction.
  • 55. Integers Let’s look at some properties of Integers! 2. Commutative property What does that mean?
  • 56. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) + (8)
  • 57. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) + (8) = 5 & (8) + (-3)
  • 58. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) + (8) = 5 & (8) + (-3) = 5
  • 59. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) + (8) = 5 & (8) + (-3) = 5 Integers can be added in any order, thus addition is commutative for integers.
  • 60. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) - (8)
  • 61. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) - (8) = -11 & (8) - (-3)
  • 62. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) - (8) = -11 & (8) - (-3) = 11
  • 63. Integers Let’s look at some properties of Integers! 2. Commutative property Let’s consider, (-3) - (8) = -11 & (8) - (-3) = 11 Integers cannot be subtracted in any order, thus subtraction is not commutative for integers.
  • 64. Integers Let’s look at some properties of Integers! 3. Associative property What does that mean?
  • 65. Integers Let’s look at some properties of Integers! 3. Associative property Let’s consider, (-5) + [(-3) + (-2)]
  • 66. Integers Let’s look at some properties of Integers! 3. Associative property Let’s consider, (-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2)
  • 67. Integers Let’s look at some properties of Integers! 3. Associative property Let’s consider, (-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2) = -10
  • 68. Integers Let’s look at some properties of Integers! 3. Associative property Let’s consider, (-5) + [(-3) + (-2)] = -10 & [(-5) + (-3)] + (-2) = -10 Integers can be added in any manner of order, thus addition is associative for integers.
  • 69. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 70. To revise concepts based on integers To test integer concepts To interpret addition and subtraction properties Learning Outcomes How confident do you feel?
  • 72. Integers Learning Activity In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

Editor's Notes

  • #2: An overview of the content of the lesson Must be in the form of a question where appropriate Students should be able to answer the question at the end - either fully, partly or in a way that demonstrates they understand what gaps in their knowledge they need to address Verbs such as to understand / to know / to gain confidence / to learn Ask students to give the question a go and point out that, at the end of the lesson, they should be able to answer fully
  • #3: Measurable outcomes that students can demonstrate and self-assess against Must be written using Bloom’s taxonomy verbs Verbs based on students ability and pitch of lesson It must be clear that students understand the outcomes before moving on Make an activity of this slide: Ask students to read this aloud Ask them to paraphrase Ask that they explain what they mean Ask what they already know related to these outcomes There may be as few as 2 outcomes, or max 4
  • #4: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #5: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #6: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #7: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #8: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #9: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #10: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #11: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #12: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #13: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #14: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #15: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #16: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #17: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #18: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #19: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #20: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #21: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #22: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #23: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #24: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #25: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #26: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #27: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #28: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #29: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #30: Revisit the first outcome and use the polling function to allow students to privately self-assess You may feel that the students do not need privacy to self-assess and in this instance, the chat box may be used Polling must be used until you can fully assess their confidence to use the chat box and express honesty If students self-assess as a 4/5, ensure that you are fully confident in their assessment Ask questions Ask for examples Students to ask each other questions If a few students self-assesses as a 3, but others as a 4/5, discretely ask the higher ones to give examples and to explain their achievement/understanding If all students are a 3 or below, do not move on. Move to a blank page at the end of the presentation and use as a whiteboard to further explain If students are ½, go back to the beginning Always ask students what the gaps are and help them to identify these in order to promote metacognition
  • #31: 1. The outcome changes colour when achieved to the same colour as the objective to demonstrate the connection, progress and what happens next
  • #32: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #33: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #34: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #35: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #36: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #37: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #38: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #39: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #40: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #41: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #42: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #43: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #44: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #45: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #46: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #47: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #48: As previously.
  • #49: As previously.
  • #50: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #51: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #52: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #53: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #54: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #55: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #56: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #57: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #58: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #59: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #60: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #61: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #62: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #63: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #64: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #65: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #66: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #67: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #68: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #69: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge
  • #70: As previously.
  • #71: As previously.
  • #72: An overview of the content of the lesson Must be in the form of a question where appropriate Students should be able to answer the question at the end - either fully, partly or in a way that demonstrates they understand what gaps in their knowledge they need to address Verbs such as to understand / to know / to gain confidence / to learn Ask students to give the question a go and point out that, at the end of the lesson, they should be able to answer fully
  • #73: The next slides should be focused on achieving first outcome Make reference to the outcome in the teaching Fill this with thinking skills activities, peer assessment, higher-order questioning, engaging activities and challenge