Untitled Lesson
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
SARA HASSOUL
Used 1+ times
FREE Resource
4 Slides • 0 Questions
1
CALCULATING WITH POSITIVE AND
NEGATIVE INTEGERS
SOLUTIONS
TASK 1
Using the number line
1st integer
Operation
2nd integer
1st integer ± 2nd integer
Jumps on the number line
2
+
4
+2 + 4 = 6
–5
+
6
–5 + 6 = 1
5
–
–4
5 – –4 =9
–1
–
3
–1 – 3 = –4
6
+
–7
6 + –7 = –1
TASK 2
Complete the number sentence
1
2 + –5 = –3
2 2 – –3 = 5
3
2 + –3 = –1
4
4 + –4 = 0
5 4 – –2 = 6
6
4 + –2 = 2
7
–3 + 6 = 3
8 –3 – –7 = 4
9
–3 + 8 = 5
2
FINDING COMMON FACTORS
TASK 1
Sort factors
Fill in each diagram by entering all the factors of the given pair of numbers into the correct spaces.
1
2
3
4
For each pair above, give its highest common factor (HCF).
HCF of 10 and 15 = __________
HCF of 18 and 42 = __________
HCF of 35 and 70 __________
HCF of 14 and 45 __________
3
WHAT IS THE NUMBER?
TASK 1
Shared factors
1
Write three numbers smaller than 160 that I could be
thinking of.
Next to each number list allits factors.
1st number could be ________
Factors: __________________________________
2nd number could be ________
Factors: __________________________________
3rd number could be ________
Factors: __________________________________
Compare the numbers and the lists of factors. Record what you notice.
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
2 A mystery number has a factor of 12. What other numbers must also be its factors?
_________________________________________________________________________
TASK 2
Who am I?
Each problem below has more than one answer. Find them all.
1 I am less than 100. I have the factors 2, 3 and 7. Who am I?
_________________________________________________________________________
2 I have exactly two factors. I am bigger than 70 and smaller than 80. Who am I?
_________________________________________________________________________
3 I have more than two factors. I am odd. I am between 46 and 54. Who am I?
_________________________________________________________________________
4 I have an odd number of factors. I am smaller than 20. Who am I?
_________________________________________________________________________
I’m thinking of a number that
has the factors 5 and 6.
4
TASK 2
Explore factors
1 Can you find two numbers that have no common factors? Explain your answer.
______________________________________________________________________________
______________________________________________________________________________
2 Two numbers are even. What must be one of their common factors?
______________________________________________________________________________
3 A mystery number is even. How would you find its second largest factor?
______________________________________________________________________________
______________________________________________________________________________
4 A mystery number is odd. Will its second largest factor be more than half or less than half of the
number? Explain using examples.
______________________________________________________________________________
______________________________________________________________________________
5 List three pairs of numbers that have a common factor of 7. Do not repeat any number.
______________________________________________________________________________
______________________________________________________________________________
6 Two mystery numbers have a common factor of 6. What other two numbers, other than 1, must
also be common factors? Explain using examples.
______________________________________________________________________________
______________________________________________________________________________
7 All the factors of 6 are also factors of 42. Enter a number to complete each sentence. There are
many correct answers to both questions.
a All the factors of 10 are also factors of __________.
b 24 and ________ have no common factors except 1.
CALCULATING WITH POSITIVE AND
NEGATIVE INTEGERS
SOLUTIONS
TASK 1
Using the number line
1st integer
Operation
2nd integer
1st integer ± 2nd integer
Jumps on the number line
2
+
4
+2 + 4 = 6
–5
+
6
–5 + 6 = 1
5
–
–4
5 – –4 =9
–1
–
3
–1 – 3 = –4
6
+
–7
6 + –7 = –1
TASK 2
Complete the number sentence
1
2 + –5 = –3
2 2 – –3 = 5
3
2 + –3 = –1
4
4 + –4 = 0
5 4 – –2 = 6
6
4 + –2 = 2
7
–3 + 6 = 3
8 –3 – –7 = 4
9
–3 + 8 = 5
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