Download Maths - APS Kirkee

Class VII
Chapter -1
Integers, definitions
Previous knowledge:

Integers, definitions
Key concepts :
 Representing integer on number line.
 Operation on integers.
 Properties of integers with respect to addition, subtraction, multiplication and division.
Learning outcome : LWBAT
 Define integers.
 Identify and compare integers.
 Represent integer on number lines.
 Perform basic operation on number lines.
 Perform basic operation on integers.
 Apply properties of integers.
Activities:
 Representing integers on number line.
 Integer board game.
Sample paper of fa1:
Q1 : fill in the blanks
I)
II)
(2)
-30 + 18
48- (- 39)
Q2 verify : a  (b  c)  a  b  a  c
(2)
For a= 15, b=20,c=  35
Q3 use the property and find the value
(2)
A)  89  12
B)  45  14  (6)  45
Q4 solve the following :
a) A bird comes down 45m and then again flies up 70 m . How much distance it has
covered from initial to final position?
(2)
b) The temperature at 2 o’ clock was 20oc above zero. If it decreases at the rate of
4o c per hour until midnight at what time would the temperature be 8oc?
(2)
Chapter 2. Fractions And Decimals
Previous knowledge:



Representation of the fraction on number line
Types of fraction and decimals
Operations on fractions
§ Key concepts:



Learning ‘of’ operator
Knowing decimal number
Multiplication of fractions and decimal numbers
§ Learning Outcomes:
Learner will be able to





Identify types of fractions
Add, subtract, multiply and divide decimal numbers
Use ‘of’ operator
Tell and write the place values the decimal numbers
Solve word problems based on operations of decimals
§ Activities:

To show the fractions by cutting pasting method
Chapter 3. Data handling



Previous Knowledge:
To collect the data and organize it
To represent the data in the pictorial form
§ Key concepts:





Concept of data
Collecting data
Organising data
Knowing mean, mode, median
Finding range


Use of bar graphs for different purpose.
Knowing probability
§ Learning outcomes:
Learner will be able to







Define data
Collect data
Organise data
Calculate mean ,mode and median
Find range
Plot the graph according to given data
Calculate probability
§ Activities:

To draw the bar graph of given data
§ Sample questions:
A) MCQ:
Q.1)
(-8) + (-4)
(- 8) – (- 4)
The sign correct in the box will be,
a) <
c) =
b) >
d) None of these
Q.2) The additive identity for integers is
a) 1
b) -1
c) 0
d) None of these
Q.3) The product of 6 and 1/6 is
a) 36
c)1
b) 1/36
d) None of these
Q.4) 35 mm is
a) 0.35 km
c) 0.035 cm
b) 3.5 cm
d) 350 cm
Q.5) The observation which occurs most often in the given data is ---------a) median
b) mean
c) range
d) mode
B) Short answer questions:
Q 1) Add : 
6 5
8
5
 3 subtract:

11
2
7
3
Q 2) Arrange the following: a)
3 9 5
5 2 3
, , b)
,
,
4 5 3
3 5 4
Q 3) Solve the following: a) 145.56  12 b) 69.8  7
Q 4) Find median of the data: a) 13,16,12,9,8,12,14,13,14
b) 7,9,8,6,5,10,4
C) Long answer questions:
Q1) Number of children in different classes are given below. Represent the data on a bar graph.
Class
Number of
Children
Fifth
135
Sixth
120
Seventh
95
Eighth
100
Ninth
90
Tenth
80
Q2) Consider the data collected from a survey of a colony.
Favourite sport
Cricket
Basket ball
Swimming
Hockey
Athletics
Watching
Participating
1240
620
470
320
510
320
423
250
250
105
Chapter 4. Simple equations



Previous Knowledge:
To Identify constant and variable
To form an algebraic expression
§ Key concepts:




To know what equations is
To set an equation
To solve an equation
Applications of simple equations
§ Learning outcomes:
Learner will be able to




Identify equation
Set an equation
Solve an equation
Apply simple equation to the practical situations
Chapter 5.lines and angles
Previous Knowledge:

To Identify different lines, line segments and angles in a given shape.
§ Key concepts:


Knowing the concept of point, line and line segment
Knowing about related angles:
1. Complementary angle
2. Supplimentary angle
3. Adjacent angles
4. Linear pair of angles
5. Vertically opposite angles

Concept of transversal

Angles made by a transversal

Checking the conditions for parallelism
§ Learning outcomes:
Learner will be able to




Define point, line and line segment
Find complementary , supplementary angle, adjacent angles, linear pair of angles and vertically
opposite angles.
Identify the angles made by a transversal
Find the angles made by the transversal
§ Activities:

To draw related angles using cutting and pasting method
Method of assessment for FA2:
Written test ,activity, holiday homework ,MCQ and FA2 Formative Assessment I

Method of Assessment
FA 2 Sample Questions
A)
MCQ
(i) 3/5 of a number is 15, the number is
(a)15
(b)25
(c)35
(d) none of these
(ii) Two complementary angle differ by 30◦ . The larger angle is
(a) 30◦ (b) 60◦
(c) 90◦
(d) none of these
(iii) Linear pair angles are also
(a)
(b)
(c)
(d)
B)
Complementary angles
Supplementary angles
Equal angles
None of these.
Very short answer type
(i)
(ii)
(iii)
Write an equation for the statement: sum of three and
twice a number is 15.
Write the given equation in statement: 2/3m-1=1
Find the angle which is equal to its complement.
C ) Short answer type
(i)
( 1 mark)
( 2 marks)
Solve the equation: (a) 7m + 19/2=13
(b) 3(n-5)=-21
(ii)
Find the value of x if l ∥ m
(iii)
Construct three equations starting with x=-2
D ) Short answer type ( 3 marks)
( i) Solve : 10= 4+3(t+5)
(ii) Sachin scored as many as runs as Rahul. Together, their runs fell two short of a double
Century. How many runs did each one score?
Chapter 6 .The triangle and its properties
§ Previous
Knowledge
 Six elements of triangle.
 Classification of triangles.
 § Key concepts:

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
Medians and altitudes of a triangle.
Exterior angle of triangles and its property.
Angle sum property of a triangle.
Two special triangles: Equilateral and isosceles.
Sum of the length of the two sides of triangles.
Right angled triangles and Pythagoras property.
§ Learning outcomes LWBAT

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

Identify and name different types of triangles.
Define and draw altitude and median of triangle.
State and apply exterior angle property of triangle.
State and apply angle sum property of triangle.
Apply properties of equilateral & isosceles triangle for finding angles of triangles.
Verify the question using properties of i.e. sum of the length of two sides of a triangle is greater
than the third side.
Apply Pythagoras property for solving question.
§ Activities:


To verify exterior angle and angle sum property of a triangle by paper cutting and pasting method.
To verify Pythagoras property of a triangle by paper cutting and pasting methods.
Chapter 7- Congruence of triangle
§ Previous Knowledge
 Concept of identical plane objects.
 Concept of geometrical figures like square, circle.
 Concept of triangle and right angled triangle.
§ Key concepts
 Congruence through superposition.
 Congruence through simple geometrical shapes.
 Criteria of congruence –SSS,SAS,ASA,RHS
§ Learning Outcomes
 To define and identify congruent figures.
 To explain the concept of –
Congruent line segment
Congruent angles
Congruent triangles
 To explain different congruence criteria.
 To apply different congruence criterions to prove triangles congruent.
§ Activity
 Verifying criterions of congruence by paper cutting and pasting method.
SA1 SAMPLE QUESTIONS
Q1) Solve:
1) Evaluate:
[(-24) ÷ 12] ÷ 2
2) Find
2
3
of 27.
3) Write an equation for given statement: Sum of three times m and 4 is 20.
4) Draw rough sketch of ∆ XYZ and show an altitude YL in the exterior of the triangle.
5) Arrange in ascending order:
2 2
2
9 3
12
, ,
6) Evaluate:
[(-7) +2] ÷ [(-2) +1]
7) Find the ratio of 20 days to 42 hours.
8) In a quiz, team A scored -40, 10, 10 and team B scored 10,-20,10.Which team scored more ?
9) The lengths of two sides of a triangle are 4 cm and 8 cm. Between which two numbers
can length of third side fall?
P
10) Answer the following from figure:
S
i) Name vertically opposite angle of ∠POR.
O
T
R
ii) Name the adjacent angle of ∠QOS
11)
From figure Find value of 𝒶 and b if line ℓ ∥ line 𝓂.
a
40o
12) Solve: 7(b – 5) = 21
b
3
13) Pawan studies for 1 4 hours every day. How many hours in all he studies in a week?
14) A bus covers distance 43.2 km in 2.4 litres of petrol. How much distance will it cover
in one litre of petrol?
15) Write place value of 4 in following decimals:
i) 22.42
ii) 56.084
16) A school has 800 students out of which 550 are boys. Find the ratio of
i) Number of girls to number of boys
ii) Number of girls to total number of students
17) State three pairs of equal parts in ∆DEF and ∆CEF. Are the
C
D
triangles congruent? If yes, state the criterion of congruence.
E
18) A 15 m long ladder reached a window at 12 m high from
the ground on placing it against a wall at a distance 𝒫.
Find the distance of the foot of the ladder from the wall.
19) In a class test containing 10 question 5 marks are awarded for every correct answer
and (-2) marks awarded for every incorrect answer.
i) Find MohInI’s score if she gets 6 correct and 4 incorrect answer.
ii) Rama gets 5 correct and 5 incorrect answer. Find her score. iii) Who score better?
20) Manu’s father age is 5 years more than three times Manu’s age .find Manu’s age, if his
father is 44 years old.
21) If ∆DEF ≅ ∆ABC, then write corresponding parts of ∆ABC that corresponds to
i) ∠E
ii) FE
iii) ∠D
iv) DF
22) Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 cm.
F