unit plan class 7 (Integers )
Subject : Mathematics Class – VII Lesson: 1 (Integers)
Worksheet - 1
Skill/Competency /Concept Target Learning Outcomes Suggested Strategies
• Computational Skill
• Properties of Addition and subtraction of integers
• Multiplication and division Operation on integer.
• Properties of Multiplication and Division of integers
• Word problem solving • Understanding and use of Properties of Addition and subtraction of integers
• Understanding and use of Multiplication of two integers with same and opposite signs.
• Understanding and use of Properties of Multiplication of integers
• Understanding and use of Division of two integers with same and opposite signs.
• Understanding and use of Properties of Division of integers.
• Word problem solving. • Individual task
• Group task
• Maths Lab Activity
• Crossword puzzle
• Oral test based on Mental math
Sample Activity
Multiplication of Integers--Repeated Addition and Subtraction
Activity Overview
In this activity, students investigate how repeated addition or subtraction is related to multiplication.
During the Activity
Distribute the blue/red balls and pages to the students.
Follow the Activity procedures:
Use red and blue balls to multiply integers (blue balls stand for positive integers and red balls stand for negative integers)
Multiply 2 x 3
Put in (positive 2) two groups, each group contains (positive 3) three blue balls to get the answer + 6
Multiply 2 x - 3
Put in (positive 2) two groups, each group contains (negative 3) three red balls to get the answer - 6
Multiply - 2 x 3
Take away (negative 2) two groups, each group contains (positive 3) three blue balls, add enough zeroes (6 red and 6 blue balls) so there are enough blue balls to take away, take away two groups of three blue balls (6) to leave 6 red balls and get the answer – 6
Multiply - 2 x - 3
Take away (negative 2) two groups, each group contains (negative 3) three red balls, add enough zeroes (6 red and 6 blue balls) so there are enough red balls to take away, take away two groups of three red balls (6) to leave 6 blue balls and get the answer + 6
• Use number line to multiply integers
Add a positive integer 2, 3 times (2 + 2 + 2) and observe the distance moved towards right side on the number line
Observe this is the same as four times the integer (2 x 3)
Similarly, add a negative integer three times 0 + (-2) + (-2) + (-2), this is the same as 3x - 2
Compute (0 - 2 - 2 - 2) and notice that this is equivalent to - 3 x 2
Compute 0 – (-2)– (-2)–(-2) and observe this is equivalent to - 3 x - 2
Suggested Activities
• Teachers can use colour cards in place of colour balls.
• Teachers can plan similar activity for addition, subtraction and division of integers.
Learning Assessment
1. Find each of the following products.
(i) 3 × (–1)
(ii) (–1) × 225
(iii) (–21) × (–30)
(iv) (–316) × (–1)
(v) (–15) × 0 × (–18)
(vi) (–18) × (–5) × (–4)
(vii) (–1) × (–2) × (–3) × 4
(viii) (–3) × (–6) × (–2) × (–1)
2. What will be the additive inverse of -1?
3. List two integers which are smaller than –3, but their difference is greater than –3.
4. Complete the following patterns with integers:
(i) -7, -3, 1, 5, __, __, __, __, __
(ii) -12, -10, -8, -6, __, __, __, __
(iii) -20, -15, -10, -5, __, __, __, __
5. Compare the sums 12 + (–20) and (–12) + 20.
6. In a class test containing 10 questions, ‘3’ marks are awarded for every correct answer and (–1) mark is for every incorrect answer and ‘0’ for questions not attempted.
(i) Aditya gets 5 correct and 5 incorrect answers. What is his score?
(ii) Aditi gets 7 correct answers and 3 incorrect answers. What is her score?
(iii) Shreya gets 3 correct and 4 incorrect answers out of seven questions she attempts.
What is her score?
7. Height of a place A is 2000 m above sea level. Another place B is 800 m below sea level. What is the difference between the levels of these two places?
8. Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part she lost by 1 minute, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?
9. A green grocer had a profit of Rs. 47 on Monday, a loss of Rs. 12 on Tuesday and loss of Rs. 8 on Wednesday. Find his net profit or loss in 3 days.
10. A multistorey building has 25 floors above the ground level each of height 5m. It also has 3 floors in the basement each of height 5m. A lift in building moves at a rate of 1m/s. If a man starts from 50m above the ground, how long will it take him to reach at 2nd floor of basement?
11. In an objective type test containing 25 questions. A student is to be awarded +5 marks for every correct answer, –5 for every incorrect answer and zero for not writing any answer. Create the ways of scoring 120 marks by a student.
12. A boy standing on the second stair on a staircase goes up by six more stairs. Which stair is he standing at now? At which step will he be after he comes down by 2 stairs?
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