ANNAN ACADEMY MATHEMATICS DEPARTMENT These are the teachers

ANNAN ACADEMY MATHEMATICS DEPARTMENT

These are the teachers who are teaching 1 st year Maths this year. Mrs Coombes Miss Paul Mrs Beggs Mrs Lemmon Mrs Wells Mr Maxwell

In Mathematics You will be studying. . . Number Work. . . Shape. . . Problem Solving

Number Work Adding Multiplying Volume Subtracting Dividing Decimals Fractions Time Measuring Area

Shape Triangle Circle Can you name them? Rectangle Cube or Cuboid? Hexagon Parallelogram Cylinder

Problem Solving Now to get your thinking caps on. We are going to look at some problem solving questions. If you want to work with someone in your household that’s okay. Team work is an important skill. If you want to try it yourself, that’s okay too. ARE YOU READY?

A collection of cows and ducks have a total of 99 heads and legs between them. There are twice as many ducks as there are cows. How many of each are there? If you want some hints, go to the next 3 slides.

A collection of cows and ducks have a total of 99 heads and legs between them. There are twice as many ducks as there are cows. How many of each are there? Hint 1: You could try drawing out the cows and ducks. Don’t laugh too hard at the drawings!

A collection of cows and ducks have a total of 99 heads and legs between them. There are twice as many ducks as there are cows. How many of each are there? Hint 2: You could try representing the heads and legs with letters Cows: 1 head = H 4 Legs = 4 L Ducks: 1 head = H 2 Legs = 2 L

A collection of cows and ducks have a total of 99 heads and legs between them. There are twice as many ducks as there are cows. How many of each are there? Hint 3: What if there are only ducks, how many would there be? But you need cows as well. How could you take away ducks and bring in cows? BUT!! There are twice as many ducks than cows.

A collection of cows and ducks have a total of 99 heads and legs between them. There are twice as many ducks as there are cows. How many of each are there? ANSWER: Would you like the answer? Are you sure? Are you really sure? There are 9 cows and …. . 18 ducks. How did you do? Did you get a different answer?

If August 5 th falls on a Tuesday, on which day of the week will Christmas Day fall? If you want some hints, go to the next slides.

If August 5 th falls on a Tuesday, on which day of the week will Christmas Day fall? Hint 1: What is the first thing we need to find out before we find the day? How many days are in each month between August and Christmas. Anyone know the rhyme? If you don’t or are not sure, here is a link to a video of the rhyme. https: //youtu. be/7 Ya. Os 9 S 5 rk. Y

If August 5 th falls on a Tuesday, on which day of the week will Christmas Day fall? Hint 2: How can we use this information? August has 31 days September has 30 days October has 31 days November has 30 days. Christmas is on the 25 th of December Could you use a table or create a calendar?

If August 5 th falls on a Tuesday, on which day of the week will Christmas Day fall? Hint 3: Could you use your mathematical operations (+, - , x , ÷ ) to find out what day Christmas day falls on?

If August 5 th falls on a Tuesday, on which day of the week will Christmas Day fall? Have you figured it out? Would you like the answer? It would fall on a …. Thursday Did you get that answer? Did you get something different?

Round 1: King Lot had a square fort with a tower at each corner and another tower at the centre of each of the walled sides. At the start of a battle he had 28 soldiers whom he divided amongst the 8 towers so that altogether 9 people should guard each wall. How are the soldiers arranged?

Round 1: HINT 1 There are 2 guards in the towers shown. You have 24 soldiers left which need to be divided amongst the remaining 6 towers. Altogether, 9 people should guard each wall. 2 How are the rest of the soldiers arranged? 2

Round 1: HINT 2 There are 5 in the different towers shown. You have 14 soldiers left which need to be divided amongst the remaining 4 towers. Altogether, 9 people should guard each wall. 2 5 5 How are the soldiers arranged? 2

Round 1: ANSWER King Lot had a square fort with a tower at each corner and another tower at the centre of each of the walled sides. At the start of a battle he had 28 soldiers whom he divided amongst the 8 towers so that altogether 9 people should guard each wall. 2 5 5 5 2 2 5 2 How did you do? Could you find a different way?

Round 2 During the first day, 4 soldiers were hurt and taken to the hospital. However King Lot still managed to divide the soldiers left so that 9 people were guarding each wall. How are the soldiers divided up now?

Round 2 – Hint 1 During the first day, 4 soldiers were hurt and in the hospital. How many soldiers did King Lot have at the start? How many are left to guard the fort? 28 – 4 = 24

Round 2 – Hint 2 So, there are 24 soldiers to space out and still have 9 on each side. Well, I will tell you how many there were in two of the towers. Can you find out how many are in the other 6 towers? 3 3

Round 2 – ANSWER So, there are 24 soldiers to space out and still have 9 on each side. How did you do? 3 3 3 3 This is one possible answer, can you find a different way?

Round 3 During the second day another 4 soldiers were injured and taken to the Hospital. However King Lot STILL managed to divide the soldiers so that 9 people were guarding each wall. How are the soldiers divided up now?

Round 3 – Hint 1 During the second day another 4 soldiers were injured and taken to the Hospital. How many soldiers does King Lot have left? 24 – 4 = 20 Can you put 20 soldiers in the towers so there are 9 soldiers on each side?

Round 3 – Hint 2 So King Lot has 20 soldiers left. Would you like a hint for two of the towers? Are you sure? 4 Can you figure it out now? 1

Round 3 – ANSWER Are you ready for an answer? Are you sure? Did you solve it? Was it the same as this one? 4 1 1 1 4 4 1 4 This is one possible answer, can you find a different way?

I hope you enjoyed your introduction to the Maths Department and we are looking forward to meeting you soon. Stay safe.