ESOL and Maths Workshop Friday 24th June 2011 Sittingbourne AEC

Aims and Outcomes Aim Attendees will discover new techniques and methods for innovative numeracy delivery and share teaching strategies and good practice to overcome the difficulties caused by low levels of English. Outcomes Identify learning and teaching strategies for key problem areas for ESOL learners of maths Create new ideas for contextualised learning without the use of the worksheet. Measure learning taking place.

In your groups, attempt to answer the numeracy exam questions. Starter Activity In your groups, attempt to answer the numeracy exam questions.

What problems did you have? What translations/vocabulary would have helped you to answer the questions?

2,1∙3,5

2∙1 x 3∙5

Cultural Differences in Numerical Methods Discuss the different methods with the person next to you. Identify the main differences to how you solve these problems.

What other cultural differences may our learners face?

Always, Sometimes, Never In your groups sort the cards according to whether you think the statements are always true, sometimes true or never true Stick your cards to the paper Use the paper to test your answers Always Sometimes Never

Coffee break (15 mins) Have a look at the other posters

Numeracy Core Curriculum Rearrange the core curriculum references according to their level

ESOL resources – pulling out the maths

Lunch

Take a look at the resources and discuss how they measure learning Resource Workshop Take a look at the resources and discuss how they measure learning

Numeracy Café now includes area for ESOL learners

Your turn! Make your own resource and identify how it measures the learning taking place Please help yourself to coffee

Different Methods, Same answer

Long Multiplication What is long multiplication? A number multiplied by a 2 digit (or larger) number e.g. 25 x 13 Is there only one way to do? Are there any tips that can help make it easier? October 2007. Kindly contributed to the Adult Basic Skills Resource Centre http://www.skillsworkshop.org/ by Gaye Noel g.noel@parklanecoll.ac.uk Park Lane College, Leeds. Thank you Gaye. Main curriculum links N1/L1.3 Add, subtract, multiply and divide using efficient written methods. N1/L2.2 Carry out calculations with numbers of any size using efficient methods.

Methods of Long Multiplication There are 3 main methods: Lattice method Splitting (grid) method Traditional method

Lattice method – part 1 25 x 5 = ? 1. Make the lattice (grid) as shown 1 2 5 2. Multiply each number above a column by the numbers in every row 3. Write the answers in the lattice. Making sure you have only 1 digit in each triangle

Lattice method – part 2 25 x 5 = ? 1 2 5 1 2 5 Add along the diagonal 2 + 0 = 2

Lattice method – part 1 36 x 8 = ? 1. Make the lattice (grid) as shown 2 4 4 8 2. Multiply each number above a column by the numbers in every row 3. Write the answers in the lattice. Making sure you have only 1 digit in each triangle

Lattice method – part 2 36 x 8 = ? 4 4 8 2 8 8 Add along the diagonal line 4 + 4 = 8

Lattice method – part 1 36 x 13 = ? 1. Make the lattice (grid) as shown 3 6 3 x 3 = 9 2. Multiply each number above a column by the numbers in every row 1 9 8 3. Write the answers in the lattice. Making sure you have only 1 digit in each triangle 3 x 6 = 18

Lattice method – part 2 36 x 13 = ? 9 8 4 6 8 Add along the diagonal line 6 + 1 + 9 = 16

Try the questions at the bottom of the worksheets

Grid Method – part 1 255 x 5 = ? 255 splits into 200, 50, 5 First split the number into hundreds, tens and units. 255 splits into 200, 50, 5 Then, multiply each of the numbers by 5. 200 x 5 = 1000 50 x 5 = 250 5 x 5 = 25 This can be placed in a grid

Grid Method – part 2 255 x 5 = ? x 200 50 5 200 x 5 50 x 5 5 x 5 1000 250 25 Finally, add the three numbers together to get your answer. 1000 + 250 25 = 1275  So 255 x 5 = 1 275

Grid Method – part 1 255 x 25 = 6375 First, split the numbers up. 255 splits into 200, 50 and 5. These go along the top of the grid. 25 splits into 20 and 5. These go down the sides. Put the numbers on the grid

Then, multiply each number in the column by each number in the row Then, multiply each number in the column by each number in the row. Have a look at the grid below.   Grid Method – part 2 255 x 25 = 6375 x 200 50 5 20 4000 1000 100 1000 250 25   Add up each column, then add the resulting numbers together. 4000 + 1000 100 = 5100 250 25 1275 6375 255 x 25 = 6 375

Try the questions again using the splitting method

2 1 x 3 Traditional method 21 x 13 = ? 6 3 2 1 2 7 3 3 x 1 = 3 write down the 3. 6 3 3 x 2 = 6 write down the 6 10 x 1 = 10 write down the 10 2 1 1 x 2 = 2 write down the 2 2 7 3 Add the numbers

4 5 x 3 Traditional method 45 x 34 = ? 1 8 1 3 5 1 5 3 3 1 2 4 x 5 = 20 write down the 0, carry the 2. 1 8 4 x 4 = 16, add 2 write down the 18 30 x 5 = 150 write down the 50, carry the one 1 3 5 3 x 4 =12, add the 1, write down the 13 1 5 3 3 Add the numbers

Try the questions again using the traditional method

PowerPoint from www. skillsworkshop PowerPoint from www.skillsworkshop.org and is also in the Numeracy Café

Good practice

Q&A

Action Point

To improve your numeracy or find out more about the different methods contact your nearest Skills Plus Centre