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Integers LG: To investigate everyday situations that use integers 1 2 Watch the video on integers https://www.youtube.com/watch?v=x0E4vxLydNY Complete the powerpoint slides on prime and composite numbers © Auburn Primary School adapted from Lane Clark LG: To investigate everyday situations that use integers 1. With a partner brainstorm 5 everyday situations where you would see negative numbers. Record this into your maths book. LG: To investigate everyday situations that use integers 1. What is the temperature showing on each thermometer in ̊C (degrees Celsius)? LG: To solve everyday additive problems using a number line Watch the below video on adding integers https://www.youtube.com/watch?v=NQSN00zL5gg LG: To solve everyday additive problems using a number line Draw a number line and show your working out to solve the below problems 2. Jake had $10 in his bank account. What would the balance be if he: a) Withdrew $15 b) Withdrew $9 c) Deposited $5 d) Deposited $2 e) Withdrew $20 f) Withdrew $12 g) Deposited $7 h) Withdrew $25 LG: To investigate everyday situations that use integers Draw a thermometer to work out the below problems 3. On Wednesday morning the thermometer reads -4 ̊C. one hour later it is 3 ̊C colder. What is the new temperature? 4. On Thursday morning the thermometer reads -9 ̊C. One hour later it is 4 ̊C warmer. What is the new temperature? LG: To use a number line to solve addition and subtraction problems Draw the number line in your book and mark it with the amount either added or subtracted. For example: 2 – 7 = -5 1–5= -4 + 7 = -1 – 7 = Prime and Composite numbers LG: To identify and describe properties of prime and composite numbers 1 2 Watch the video on Prime and Composite numbers https://www.youtube.com/watch?v=jpMYfW9XziU Complete the powerpoint slides on prime and composite numbers © Auburn Primary School adapted from Lane Clark LG: To identify composite numbers 1. How many ways can 24 objects be arranged? Draw all of the combinations you can think of using arrays. • What are all the factors of 24? 2. How many ways can 36 objects be arranged? Draw all of the combinations you can think of using arrays. • What are all the factors of 36? The Sieve of Eratosthenes LG: To identify all the prime numbers on a 100s chart Options: 3. Watch the Video on the Sieve of Eratosthenes and draw and identify all the prime numbers on a hundreds chart. https://www.youtube.com/watch?v=V08g_lkKj6Q Or Identify all the prime numbers on the 100s chart following the below instructions: a) Cross out 1 since it is not prime d) Shade all the multiples of 5 b) Shade all the multiples of 2 e) Shade all the multiples of 7 c) Shade all the multiples of 3 LG: To identify all the prime numbers on a 100s chart 4. List all of the prime numbers on your number chart. 5. What makes these numbers prime numbers? LG: To identify composite and prime numbers 6. Which of the following is not a prime number? a) 13 b) 97 c) 27 d) 61 7. Which of the following is an odd composite number? a) 71 b) 55 c) 83 d) 37 8. Which of the following only has two factors? a) 7 b) 10 c) 42 d) 15 LG: To identify composite and prime numbers 9. Which of the following is an even prime number? a) 12 b) 6 c) 3 d) 2 10. Which of the following is a composite number? a) 17 b) 15 c) 19 d) 11 11. Which of the following has more than two factors? a) 59 b) 23 c) 67 d) 49 LG: To represent composite numbers as a product of their prime factors using factor trees. 12. Watch the video on prime factorisation. https://www.youtube.com/watch?v=tW97UU01ShY 13. Factorise the below numbers using factor trees. Make sure you circle the prime factors and write your result. a) 36 b) 60 c) 42 d) 54 e) 150 Square and triangular numbers LG: To identify and describe properties of square and triangular numbers LG: To identify and describe properties of square and triangular numbers Triangular numbers • The numbers which can be arranged in a triangular pattern are called triangular numbers. LG: To identify and describe properties of square and triangular numbers Can you spot the pattern behind the triangular number sequence? Make the first four triangular numbers out of blocks to help you identify the pattern. • Use your pattern to figure out the next two triangular numbers with out counting them all or using the blocks. Record your pattern and the first 6 triangular numbers in your math books. ? ?? LG: To identify and describe properties of square and triangular numbers Square numbers: • A square number is a number which can be represented in the shape of a square. • A number that results from multiplying a number by itself. 1) Draw and label the first 8 square numbers.