Page 7 - Math_Genius_V1.0_C6_Flipbook

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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Life Skills—include the ability to manage your
maths fun
emotions, school performance, health, finances,
This is a classroom game that requires two teams. T o play this angle game, both teams will be
sit apart so that the action of Team 1 cannot be seen by T eam 2 during the activity. They will
follow the working instructions for the game. behaviour, relationships, etc.
Requirements: Pencil, Jar with number chits, protractor, scale

Life Skills
Maths Fun—make math practice more Radhika had `89,000 in her savings account at the beginning of June month. T o file her
income tax return, she updated her passbook in the month of July. Complete the table by filling in the balance
engaging by running these fun with math after each transaction. Deposit Amount (`) Closing Balance (`)
activities. Date Withdrawal Amount (`) 89,000
01.06.2024 8,000
04.06.2024 9,500
10.06.2024 2,000
16.06.2024
21.06.2024 950
25.06.2024 1,050 1,500
Mental Maths 29.06.2024
What will be the balance at the end of the month in Radhika’s account?
1. Name the number sequence given here: 2, 4, 6, 8, 10, 12, 14, ...
2. What will come next in the given number sequence? 1, 8, 27, 64, 125, 216, ...
3. What type of number is 19 – a triangular or hexagonal number? Make a dot pattern to support your answer.
4. Can you think of pictorial ways to visualise the sequence of tetrahedral numbers?
2 + 1, …, gives square numbers. Learning by Doing—for creating interest
5. Think of a pictorial explanation for why adding counting numbers up and down, i.e., 1, 1 + 2 + 1, 1 + 2 + 3 +
of the learners in the subject and help them
draw conclusions on their own or sometimes
Mental Maths—to focus on 21st to verify the concepts with hands-on practice.
Century skills in teaching, learning
and assessment.
Learning by Doing
Objective: To represent the fractional quantities using fractional units by paper
folding.
www
Materials required: A strip of paper.
MAths connect
Procedure:
• Start with a strip of paper.
1 Strip paper
• Fold the paper strip in half so that the two ends meet, then unfold it to get a crease in
• As the whole strip is 1 unit long. So the crease divides the strip into two equal parts, so
the middle.
each part is half    of the whole strip as shown below.
The images given above show natural patterns. Fibonacci numbers are evident in nature, e.g., pineapples, sunflowers,
or 55 and 89 up to 144.  1

etc. In a pineapple, the spirals are 8, 13 and 21. Clockwise and anticlockwise spirals in a sunflower are 34 and 55
2
Some flowers and fruits have Fibonacci sequence/Virahanka numbers in them. Name some flowers that have
1
1, 2, 3, 5, 8, 13, 21, 34, ..... petals. You can also find the spirals in different fruits that follow the Virahanka sequence.
• Now, fold the strip in halves again and unfold it to get two more creases, that divide the
1 2 2
Maths Connect—for enhancing the logical/critical strip into four equal parts as shown below.
thinking skills and encouraging the child to apply 1 1 1 4 1 4
the knowledge in handling real life situations. 4 1 2 1 4
• Again fold the strip in halves that divides the strip into eight equal part. Again fold it to
2 times 4 4 2
get 16 equal parts.
Chapter Assessment—the process of interpreting, Model Test papers—for self-testing the
1
recording and using information about a student’s 16 preparation before the semester-end exam.
Fractional quantities can be measured using fractional units.
1
2
1
=
=
2 times
responses. Each time we fold the strip, the number of parts doubles, and size of each part gets smaller.
16
8
16
Observation: MODEL TEST PAPER – 1
Complete the blank spaces: 1 1 =
1
9 times
1
=
A. Choose the correct option in Questions 1 to 10. 16 = 16 times 16
6 times
=
4 times
16
16
Thus, this activity is useful in understanding the fractional quantities.
1. Which of the following is not a factor of 72? (c) 24 (d) 48 m
(b) 12
(a) 6
2. In the adjoining figure, which of the following statements is correct? l t
226
Chapter assessment Mathematics-6
A. Choose the correct option. z
(a) l || m (b) t ⊥ z
1. Which of the following is a triangular number?
(a) 5 (d) t || z
(b) 8 (c) l ⊥ t
(c) 10
(d) 23 3. The largest 5-digit number whose digit sum is 43 is (d) 99991
2. Which of the following is not a square number?
(a) 25 (b) 99998 (c) 99997
(b) 81 (a) 99999
(c) 100
(d) 32 4. A collection of numbers gathered to give some information is called
1 + 7 + 19 + 37, … ? (c) pictograph (d) frequency
3. Which sequence do you get by adding up centred hexagonal numbers, i.e., 1, 1 + 7, 1 + 7 + 19,
(a) Squares (a) data (b) tally marks
(c) Tetrahedral numbers (b) Cubes 5. A polygon with 9 sides is called a
(d) None of these (b) nonagon (c) hexagon (d) octagon
(a) heptagon
4. What will be the value of 1 + 2 + 3 + ... + 49 + 50 + 49 + ... + 3 + 2 + 1?
(a) 2500 (b) 2481 6. One of the common multiples of 3, 5 and 10 is
As per the new assessment practices, questions in (a) 95 (b) 42 (c) 19 (d) 60
(c) 2100
(d) 2601
5. The number of diagonals in the heptagon would be:
the examination will be competency-based in the 7. I am a number less than 50. One of my factor is 8. The sum of my digits is 5. Which number
form of multiple choice questions (MCQs), am I ? (b) 32 (c) 23 (d) 14
(a) 40
0 diagonals
case-based questions and source-based questions. 8. The degree measure of a complete angle is
2 diagonals
5 diagonals
9 diagonals
(a) 14
(b) 15 ? (d) 270°
Directions. (For Qs 9–10): In the following questions, a statement of Assertion (A) is followed
B. Fill in the blanks. (c) 16 (d) 17 (a) 90° (b) 180° (c) 360°
by a statement of Reason (R). Choose the correct option.
1. A Fibonacci number is also known as .................... .
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of
2. .................... is a cubic number which is also a Fibonacci number.
3. 36 is a triangular number as well as .................... .
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation
Assertion (A).
4. The total number of squares in the given figure is 25 + ..... + ..... + ..... + ..... = .....
of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
9. Assertion (A): Factors of a number 24 are 1, 2, 3, 4, 6, 8, 12, 24.
5. The tetrahedral numbers are the sums of the consecutive .................... numbers beginning from 1.
The factor of a number divides the number exactly.
C. State whether the following statements are True (T) or False (F).
Reason (R):
10. Assertion (A): In the given figure, points A, B and C are collinear.
1. The number of little triangles in the given stacked triangle represents a triangular number.
C
B
A
Three points are said to be collinear if they do not lie in a straight line.
Reason (R):
172
2. In pineapples, we can find triangular numbers.
3. The Koch snowflakes is made from any type of triangle.
4. Snowflakes is an example of fractals.
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