Y 6 Maths BBC Bitesize and Oak National

Y 6 Maths BBC Bitesize and Oak National Academy are producing daily lessons. The links to these websites are below. https: //www. thenational. academy/online-classroom/year 6/maths#subjects https: //www. bbc. co. uk/bitesize/tags/zncsscw/year-6 -and-p 7 -lessons/1

Algebra Before we start using algebra, let’s remind ourselves of the basics of algebra. 1. The letters in each of these equations represent missing numbers. 2. A letter can represent any number. 3. The ‘x’ symbol is not used for multiplication. Instead, either a number and letter or two (or more) letters next to each other means multiply. For example, 12 b = 12 x b or cb = c x b. 4. Algebra uses lower case letters, but some letters, o for example, are not used as it looks like the number 0.

Formulae involving one letter

Formulae involving one letter Let’s start with 3 a = 12 This means 3 x ? = 12 3 x 4 = 12 So a must be 4 in this instance. I could also use division (mental or written), for example: 5 f = 75 75 ÷ 5 = f 75 ÷ 5 = 15 So, f must be 15 in this instance.

Formulae involving one letter Let’s start with 3 a = 12 This means 3 x ? = 12 3 x 4 = 12 So a must be 4 in this instance. Your turn: 1. 6 b = 72 2. 5 c = 75 3. 13 a = 39 4. 8 f = 56 5. 7 g = 77 b = ______ c = ______ a = ______ f = ______ g = ______

Formulae involving one letter Now let’s move onto 5 b + 7 = 37 To keep this equal, I will take 7 from each side of the equation. Now I have 5 x ___ = 30 I can use my multiplication tables or division here. Remember, I need to keep each side equal. 30 ÷ 5 = 6 5 b + 7 = 37 -7 5 b = 30 ÷ 5 b = 6

Formulae involving one letter Remember to keep each side equal. Tip: Start with the number that is not combined with the letter. Your turn: 1. 9 c + 8 = 53 2. 12 g + 10 = 118 3. 12 + 13 f = 64 4. 6 k – 15 = 51 5. 18 n – 45 = 51 c = ____ g = ____ f = ____ k = ____ n = ____

Formulae involving one letter For this equation, h = 9. 12 h + 7 = _____ This means I need to calculate (12 x 9) then add 7. (12 x 9) + 7 = _____ 12 x 9 = 108 + 7 = 115

Formulae involving one letter Your turn: For these equations: a=6 b = 12 c=8

Expressing missing number problems algebraically

Expressing missing number problems algebraically An electrician charges £ 25 for each job she attends and then £ 12 for each hour that the job takes. We can use an expression to show what the electrician charges. 12 h + 25 Notice that an expression doesn’t have an = sign. We are not calculating here.

Expressing missing number problems algebraically An electrician charges £ 25 for each job she attends and then £ 12 for each hour that the job takes. We can use an expression to show what the electrician charges. 12 h + 25 Explain what 12 h + 25 means for the electrician. Talk to your talk partner.

Expressing missing number problems algebraically Your turn: A plumber charges a £ 45 call-out fee for each job but doesn’t charge for his travel expenses (t). He then charges £ 17 for each hour (h) that he works. Which of these expressions shows what the plumber earns? 17 h – 45 + t 45 + 17 h - t 17 + 45 h - t

Expressing missing number problems algebraically Your turn: A painter and decorator charges £ 14 for each hour (h) that he is working. At the moment, he is offering a £ 5 discount on the cost of all jobs. Today, he is working for 7 hours. Write an expression for today’s job.

Louisa has some cards with algebraic expressions on them. The mean of these cards is 15. Work out the value of each card. 4 n + 1 3 n n + 4

Blal and Sama are hair stylists. They use the following formula to work out what they should charge for 6 hours of work: Cost in pounds = 45 + 15 x number of hours they work Blal thinks they should charge £ 360. Sama thinks they should charge £ 135. Who is correct? How do you know?