Wednesday, 27 February 2019 HCF and LCM Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. 5 2 3 1 4 9 7 8 6 Sort the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 into the grid so that they obey the row and column headings. Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… Wednesday, 27 February 2019 HCF and LCM Prime Factor Trees Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. 36 3 12 4 2 3 2 36 = 2 × 2 × 3 × 3 = 22 × 3 2 Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… Wednesday, 27 February 2019 HCF and LCM Prime Factor Trees Lesson Objectives: 2100 Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. 30 5 6 2 70 3 7 10 2 5 2100 = 2 × 2 × 3 × 5 × 5 × 7 = 22 × 3 × 5 2 × 7 Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… Wednesday, 27 February 2019 HCF and LCM 10 12 14 15 20 30 28 42 48 56 60 72 112 140 240 310 144 192 Wednesday, 27 February 2019 HCF and LCM Answers 10 = 2x 5 14 = 2 x 7 20 = 2²x 5 12 = 2²x 3 15 = 3 x 5 30 = 2 x 3 x 5 28 = 2²x 7 48 = 24 x 3 60 = 2²x 3 x 5 42 = 2 x 3 x 7 56 = 23 x 7 72 = 24 x 3² 112 = 24 x 7 240 = 24 x 3 x 5 144 = 24 x 3² 140 = 2²x 5 x 7 310 = 2 x 5 x 31 192 = 26 x 3 HCF and LCM Wednesday, 27 February 2019 Draw a Venn diagram to represent the features of these two televisions SAMSUNG PANASONIC HCF and LCM Wednesday, 27 February 2019 Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. The highest common factor (HCF) of two numbers is the highest whole number which divides into both. The lowest common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Excelling students will be able to answer worded questions on HCF and LCM. Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… HCF and LCM Wednesday, 27 February 2019 Lesson Objectives: We can use the prime factors of a number to find the HCF and LCM of larger numbers. Developing students will be able to write numbers as products of their prime factors. Example: Find the HCF and the LCM of 60 and 294 60 294 Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. 60 = 2×2×3×5 294 = 2 × 3 × 7 × 7 Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… Wednesday, 27 February 2019 HCF and LCM Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. 294 = 2 × 3 × 7 × 7 60 = 2 × 2 × 3 × 5 60 294 2 5 2 7 3 7 HCF of 60 and 294 = 2 x 3 = 6 Excelling students will be able to answer worded questions on HCF and LCM. Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… Wednesday, 27 February 2019 HCF and LCM Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. 294 = 2 × 3 × 7 × 7 60 = 2 × 2 × 3 × 5 60 294 2 5 2 7 3 7 HCF of 60 and 294 = 2 x 3 = 6 LCM of 60 and 294 = 2 x 5 x 2 x 3 x 7 x 7 = 2940 Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… HCF and LCM Wednesday, 27 February 2019 Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. How confident do you feel with this topic? Write red, amber or green in your book! Complete the corresponding activity Extension: Answer the worded questions and match the answers Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… HCF and LCM Wednesday, 27 February 2019 Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53… HCF and LCM Lesson Objectives: Developing students will be able to write numbers as products of their prime factors. Secure students will be able to calculate the HCF and LCM of pairs of numbers using Venn diagrams. Excelling students will be able to answer worded questions on HCF and LCM. Wednesday, 27 February 2019 1 question about today’s topic 2 things you learnt today 3 things you knew already Keywords Factor, prime number, tree, product, multiple, common, highest, lowest Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…