Maths! Level 5-6. Contents 5. Intro 6. Numbers 7-8. Algebra 9-10. Angles 11. Perimeter 12-14. Area 15-17. Fractions 18-20. Percentages 21-22. Collecting.

Maths! Maths! Level 5-6Level 5-6

Contents

5. Intro

6. Numbers

7-8. Algebra

9-10. Angles

11. Perimeter

12-14. Area

15-17. Fractions

18-20. Percentages

21-22. Collecting like terms

23-24. probability

25-29. Pi

30-32. Nth Term

33-34. Volume

35-36. Surface Area

37-40. Co-ordinates

41-43. Translating Shapes

44-47. Rotating Shapes

48-53. Mean, Median, Mode

54-57. Ratio

58-60. Time

61-63. Speed, Distance, Time

64-65. Solving Equations

66-67. Plans and Elevations

68-69. Nets

70-72. Straight Line Graphs

Maths IntroductionMaths Introduction

Maths is an amazing science all Maths is an amazing science all about patterns to problem about patterns to problem solving. We find maths all solving. We find maths all around us, we just do not know around us, we just do not know it! Mathematicians find patterns it! Mathematicians find patterns in trees on flowers and even in in trees on flowers and even in the sky. It is a truly amazing the sky. It is a truly amazing thing!thing!

Numbers!Numbers!Numbers are one of the most Numbers are one of the most

interesting things in fact if they didn’t interesting things in fact if they didn’t exist maths would be very strange. exist maths would be very strange. The Romans used to draw numbers The Romans used to draw numbers so weird and strange. Some people so weird and strange. Some people would find the Roman Numerals very would find the Roman Numerals very confusing. If we looked at them now confusing. If we looked at them now we would say how CRAZY the we would say how CRAZY the roman numerals were. So we roman numerals were. So we created a modern version of Roman created a modern version of Roman numerals called NUMBERS!numerals called NUMBERS!

What Algebra Is!What Algebra Is!

HOWEVER! Sometimes those HOWEVER! Sometimes those people who think numbers are people who think numbers are so crazy use letters instead! so crazy use letters instead! Why?! But when you look Why?! But when you look deeper into it you understand deeper into it you understand why it is not ugly and why why it is not ugly and why people walk round town going people walk round town going “My best thing I ever learned at “My best thing I ever learned at school was algebra. Its MAGIC!”school was algebra. Its MAGIC!”

Understanding Algebra!Understanding Algebra!Here is why it is so beautiful!Here is why it is so beautiful!1.H=5 2. S=8 N=61.H=5 2. S=8 N=6 H+17=22! S+N = 14!H+17=22! S+N = 14!

3. A=10 B=43. A=10 B=4 AB=40AB=40Ha I caught you! I bet you are probably thinking how Ha I caught you! I bet you are probably thinking how

on earth I have just worked that out! Well in on earth I have just worked that out! Well in algebra the secret thing is that if you see 2 letters algebra the secret thing is that if you see 2 letters or 1 letter and 1 number or 2 numbers next to or 1 letter and 1 number or 2 numbers next to each other you have to multiply them together1 each other you have to multiply them together1 Ah! Do you get it now?Ah! Do you get it now?

Here are a few questions to get your brain working!Here are a few questions to get your brain working!

1. A= 7 2. S=9 P=3 3. B=8 N=41. A= 7 2. S=9 P=3 3. B=8 N=4 A -5= S divide by P= BN=A -5= S divide by P= BN=

Now you are an algebra expert!Now you are an algebra expert!

What angles are!What angles are!

Angles are the measurement of space Angles are the measurement of space between two lines that meet. There between two lines that meet. There are three types of angle: Acute, are three types of angle: Acute, Obtuse and Reflex. Acute is 90 Obtuse and Reflex. Acute is 90 degrees or less. Obtuse is between degrees or less. Obtuse is between 90 and 180 degrees and reflex is 90 and 180 degrees and reflex is over 180 degrees. We measure over 180 degrees. We measure angles in degrees which looks like angles in degrees which looks like this… 12 We measure angles this… 12 We measure angles using a protractor.using a protractor.

Angle challenge!Angle challenge!

Can you measure the following angles Can you measure the following angles and tell me whether they are acute, and tell me whether they are acute, obtuse or reflex! obtuse or reflex!

1. 2.1. 2.

3. 4.3. 4.

Now you are amazing at angles!Now you are amazing at angles!

Perimeter!Perimeter!

Perimeter is the total distance of round Perimeter is the total distance of round the outside of a shape.the outside of a shape.

You would measureYou would measure

All four sides andAll four sides and

Add them up.Add them up.

Have a go at finding the perimeter of Have a go at finding the perimeter of these shapes. Remember to use a these shapes. Remember to use a ruler!ruler!

Area of squares and rectangles!Area of squares and rectangles!

When we find area, we find the amount of When we find area, we find the amount of space in an object. To find the area of a space in an object. To find the area of a square or rectangle is simple. All you have square or rectangle is simple. All you have to do is multiply the width by the length and to do is multiply the width by the length and then put cm on the end! How easy! So then put cm on the end! How easy! So here are some shapes, can you find the here are some shapes, can you find the area? The measurements have been done area? The measurements have been done for you! Remember to put cm on the for you! Remember to put cm on the end!end!

2

3cm

2cm 4cm

5cm7cm

3cm

2

Area of TrianglesArea of Triangles

EASY! All you do is find the base EASY! All you do is find the base and the height, multiply them and the height, multiply them together and divide your answer together and divide your answer by 2! How easy. So here is an by 2! How easy. So here is an example…example…

Height

Base

But why?But why?Well, if I add in an extra few lines Well, if I add in an extra few lines

you might understand it better…you might understand it better…

Base

Height

Can you recognise the hidden shape? Yes your right it’s a sneaky square which is formed by two equilateral triangles! Two Isosceles and Scalene triangles make a rectangle. So all we are actually are doing is finding the area of our squares and rectangles and then dividing them by two to find the triangles area. Simple!

FractionsFractions

Fractions are Fab! All they are is Fractions are Fab! All they are is part of a whole number!part of a whole number!

This shape is split into equal halves which as a fraction looks like this 1

2

This shape is split into equal quarters which as a fraction looks like this 1

4

This shape is split into equal thirds which as a fraction looks like this 1

3

Fantastic Fractions!Fantastic Fractions!

To find a fraction, count up how To find a fraction, count up how many parts the shape has for many parts the shape has for your denominator. 1your denominator. 1

22 Bottom number

And then count up how many parts are shaded for your numerator. 1

2

Top number

Fun FractionsFun Fractions

Can you tell me what the fraction Can you tell me what the fraction that is shaded is!that is shaded is!

PercentagesPercentagesPercentages will appear a lot when Percentages will appear a lot when

your older. Shops are always having your older. Shops are always having offers! If there was 26% off of £14 offers! If there was 26% off of £14 then:then:

Find 10% by simply dividing the Find 10% by simply dividing the number by 10. Answer = £1.40number by 10. Answer = £1.40

Find 5% by halving your answer of Find 5% by halving your answer of 10%. Answer = 70p10%. Answer = 70p

Find 1% by dividing 10% by 2.Find 1% by dividing 10% by 2.Answer = 14p. Answer = 14p. That is all the information we need! All That is all the information we need! All

we need to do Is add it altogether…we need to do Is add it altogether…

10% = £1.4010% = £1.405% = 70p5% = 70p1% = 14p1% = 14pIf we need to find 26% we need to If we need to find 26% we need to

add them all up so add them all up so £1.40 + £1.40 + 70p + 14p = £3.64£1.40 + £1.40 + 70p + 14p = £3.64Because we need the money to get Because we need the money to get

cheaper we need to take off £3.64 cheaper we need to take off £3.64 from £14 sofrom £14 so

£14 - £3.64 = £10.36! So£14 - £3.64 = £10.36! So

26% of £14 = £10.36!26% of £14 = £10.36!

There are 26% of all off these There are 26% of all off these clothes. Can you find the new price?clothes. Can you find the new price?

£20

£14

Working Out

10% =

5% =

1% =

Working Out

10% =

5% =

1% =

Working Out

10% =

5% =

1% =

£42

Collecting like termsCollecting like terms

When we collect like terms all we are When we collect like terms all we are really doing is simplifying the sum. really doing is simplifying the sum. E.GE.G

3y+5y+5h+2h is the same as saying:3y+5y+5h+2h is the same as saying:

8y+7h See how much smaller the 8y+7h See how much smaller the sum is!sum is!

Try these:Try these:

2b+5b+6h+2b+10h is the same as:2b+5b+6h+2b+10h is the same as:

7+ 3y+9a+5a+4+2y is the same as:7+ 3y+9a+5a+4+2y is the same as:

4b+7y+3n+3+2b+6n+1 is the same as:4b+7y+3n+3+2b+6n+1 is the same as:

Wow!

ProbabilityProbability

Easy! All you need to do is Easy! All you need to do is subtract the decimal from one. subtract the decimal from one. E.GE.G

The probability of rain is 0.20

The probability of NO rain is 0.80

1 – 0.20 = 0.80

Try theseTry these

The probability of rain is 0.40

The probability of rain is 0.75

The probability of NO rain is 0.27

The probability of NO rain is 0.89

Pi!Pi!

Pi is a very very very very long Pi is a very very very very long number which people use to find number which people use to find the area and circumference of a the area and circumference of a circle. circle.

The symbol of pi is … The symbol of pi is …

Pi is what it is because in any Pi is what it is because in any circle, if you divide the circle, if you divide the circumference by the diameter circumference by the diameter you get pi…you get pi…

Pi to the first 1000 digits!Pi to the first 1000 digits! 3.1415926535 8979323846 2643383279 5028841971 3.1415926535 8979323846 2643383279 5028841971

6939937510 5820974944 5923078164 0628620899 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 1712268066 1300192787 6611195909 2164201989

Radius and diameterRadius and diameter

The radius is a line from the centre The radius is a line from the centre of the circle to the edge. It is half of the circle to the edge. It is half of the diameter.of the diameter.

The diameter is double the radius. It The diameter is double the radius. It is al line from one end of the circle is al line from one end of the circle to the other.to the other.

Radius Diameter

AreaAreaTo find the area of a circle we To find the area of a circle we

need to use the radius.need to use the radius.

A= Pi x r x r (Pi x radius x radius)A= Pi x r x r (Pi x radius x radius)

So if the radius is 6cm what would So if the radius is 6cm what would the area of the circle be is we the area of the circle be is we take pi as 3?take pi as 3?

Radius is R, Diameter is D,

Circumference is C, Area is A

3cm

CircumferenceCircumferenceTo find the circumference of the To find the circumference of the

circle (perimeter) we need to circle (perimeter) we need to use the diameter.use the diameter.

C= Pi x D (Pi x diameter)C= Pi x D (Pi x diameter)

So if the diameter is 12cm what So if the diameter is 12cm what would the circumference be if would the circumference be if we take pi as 3?we take pi as 3?

Radius is R, Diameter is D, Circumference is C, Area is A

12cm

Nth Term!Nth Term!

Nth term is all to do with pattern Nth term is all to do with pattern and sequence.and sequence.

3 5 7 9 11 13 3 5 7 9 11 13

+2

The sequence goes up in 2s so the first part of the answer will be 2n.

To find the second part of the To find the second part of the answer we need to add a few answer we need to add a few more numbers in…more numbers in…

3 5 7 9 11 133 5 7 9 11 13

1 2 3 4 5 6

We need to remember the 2. Because if you multiply the 2 by the position of the number you get your answer so…

1 is the position of 3 so 1 x 2 = 2.

Next you need to work out how many more you need to add on from 2 to get your answer. So 2 + 1 = 3 so your answer will be 1.

2 x 2 = 4 and 4 + 1 = 5

3 x 2 + 6 and 6 + 1 = 7

The answer is then 2n +1

Position of

black number

Below.

Find the nth term of these sequences. Find the nth term of these sequences. Remember it could be subtract as well!Remember it could be subtract as well!

a)a)

5 8 11 14 175 8 11 14 17

b)b)

3 7 11 15 193 7 11 15 19

1 2 3 4 5

1 2 3 4 5

VolumeVolumeThe volume is how much stuff is in The volume is how much stuff is in

something. To work out the volume something. To work out the volume you need to times all 3 you need to times all 3 measurements together. The length, measurements together. The length, height and width!height and width!

Length x Height x Width = VolumeLength x Height x Width = Volume

So if the length was 4cm the height So if the length was 4cm the height was 5cm and the width was 2cm, the was 5cm and the width was 2cm, the volume would be…volume would be…

4cm x 5cm x 2cm = 40cm4cm x 5cm x 2cm = 40cm3

Find the volume of these objects…Find the volume of these objects…Height = 3cm

Width = 3cm Volume =

Length = 3cmcm

3

Height = 2cm

Width = 4cm Volume =

Length = 8cmcm

3

Height = 8cm

Width = 3cm Volume =

Length = 6cmcm

3

Height = 6cm

Width = 2cm Volume =

Length = 4cmcm

3

Surface AreaSurface Area

Surface area if when you find the Surface area if when you find the area of all sides of your shape.area of all sides of your shape.

4cm

This cuboid is made up of 4 identical rectangles and 2 identical squares. The area of one rectangle is 40cm so now we need to multiply that by 4 which is 160cm. Therefore the area of all rectangles is 160cm. The area of one square is 16cm. So we need to multiply 16 by 2 which is 32cm. Now we need to add 160 and 32 which gives us the surface area. 160cm + 32cm = 192cm

2

2

22

2

2 2 2

Try this…Try this…A

A

B

B

C C

Area of A (back and front)

Are of B (top and bottom)

Area of C (Ends)

Total Surface Area

cm2

cm2

cm2

cm 2

Co – Ordinates! Co – Ordinates!

We use co –ordinates mainly for We use co –ordinates mainly for finding places on maps. There finding places on maps. There are two axis, the x and y. The y are two axis, the x and y. The y is down and the x is along. is down and the x is along. Whenever we find co ordinates Whenever we find co ordinates we go along then up…we go along then up…

Along the corridor

Up th

e sta

irs

x

y

(-4, 6) would be on the red square.

(7, -1) would be on the blue square.

(9, 4) would be on the yellow square

(-2, -5) would be on the green square.

Try these…Try these…

What co- ordinate is the red square in?

( , ) ( , )What co-ordinate is the blue square in?

( , )What co-ordinate is the yellow square in?

Translating shapesTranslating shapes

The yellow square has been translated 2 right and 4 down. I have moved the square along first just like on a co- ordinates grid! Then I move the shape 4 down. The red square is where I landed!

Instead of saying Move the shape 2 Instead of saying Move the shape 2 right and 4 down we say…right and 4 down we say…

(2,-4).This looks a bit like a (2,-4).This looks a bit like a

co-ordinate! Basically, the 2 means 2 co-ordinate! Basically, the 2 means 2 right. If it was 2 left if would be -2 in right. If it was 2 left if would be -2 in a negative form.a negative form.

4 down is -4 and then of course 4 up 4 down is -4 and then of course 4 up would be 4 in a positive form.would be 4 in a positive form.

(2,-4) is a much easier way of saying (2,-4) is a much easier way of saying 2 up and four down!2 up and four down!

Try this!Try this!Where would the new position be of the yellow square which moves (-3, 2)

The yellow square has moved. The red square shows the yellow squares new position. What has the shape moved?

( , )

Rotating shapes.Rotating shapes.

When we rotate a shape, we When we rotate a shape, we either rotate it around one of its either rotate it around one of its points or the origin. The origin is points or the origin. The origin is the centre.the centre.

(0,0) (0,0)

This shape has been rotatedThis shape has been rotated90 degrees around the origin.90 degrees around the origin.

Which of the following shapes is correct after Which of the following shapes is correct after rotating the red shape 180 degrees anti-rotating the red shape 180 degrees anti-clockwise around the origin?clockwise around the origin?

b

a

c d

Which of the following shapes is correct after Which of the following shapes is correct after rotating the green shape 90 degrees rotating the green shape 90 degrees clockwise around the origin?clockwise around the origin?

a

b

c

d

Mean!Mean!

The mean is a value which is also The mean is a value which is also known as average. We find the known as average. We find the mean by dividing the total of a set mean by dividing the total of a set of numbers by how many there are.of numbers by how many there are.

4 6 5 54 6 5 5 The total of these numbers is 20. The total of these numbers is 20.

There are 4 numbers so 20 divided There are 4 numbers so 20 divided by 4 = 5! by 4 = 5!

Therefore the mean is 5!Therefore the mean is 5!

Find the mean of these sets of Find the mean of these sets of numbers!numbers!

3 7 2 4 Mean is3 7 2 4 Mean is

6 2 1 Mean is 6 2 1 Mean is

7 9 5 3 Mean is

Mode!Mode!

The mode is the number that The mode is the number that occurs the most often.occurs the most often.

2 6 3 2 5 2 6 3 2 5

The mode would be 2.The mode would be 2.

Find the mode of these Find the mode of these numbers!numbers!

5 7 2 7 Mode is 5 7 2 7 Mode is

12 5 2 12 3 Mode is

3 9 5 3 9 Mode is

Median!Median!The median is the middle number. The median is the middle number.

However if you have 2 numbers in However if you have 2 numbers in the middle you add them up and the middle you add them up and divide by 2 to find the number in divide by 2 to find the number in between them.between them.

3 4 7 The median is 43 4 7 The median is 4

4 5 7 2 5 + 7 = 12 12 divided by 2 = 6 The median is 6.

Find the median of these number sequences!

4 5 4 7 2 Median =

3 6 8 2 Median =

2 9 13 6 Median =

15 21 33 18 Median =

RatioRatio

Ratio is about how one thing Ratio is about how one thing compares to another.compares to another.

There are 3 red squares and There are 3 red squares and 1 blue square.1 blue square.

Therefore if there were 6 red Therefore if there were 6 red squares there would be 2 squares there would be 2 blue squares because we blue squares because we multiply by 2.multiply by 2.

The trick to finding the ratio is to always multiply or The trick to finding the ratio is to always multiply or divide the numbers by the same value.divide the numbers by the same value.Try these…Try these…

Lisa eats 3 oranges for every 2 apples. If she eats 18 oranges, how many apples will she eat?

Oranges : Apples

3: 2

18 : ?

For every 30g of cement, William uses 11 bricks. If he uses 44 bricks, how many grams of cement will he use?

Cement : Bricks

30g : 11

? : 44

Finding out how much…Finding out how much…

If the ratio of blue to red paint is If the ratio of blue to red paint is 3:1 and there are 40L of paint 3:1 and there are 40L of paint altogether how much paint is altogether how much paint is blue? To find out this we do…blue? To find out this we do…

3 + 1 = 4 40 – 4 = 103 + 1 = 4 40 – 4 = 10

Then, 3 x 10 = 30 so 30L is blue.Then, 3 x 10 = 30 so 30L is blue.

Try these…Try these…

There are 60L of paint altogether. There are 60L of paint altogether. The ratio of green to yellow The ratio of green to yellow paint is 2:3. paint is 2:3. How much green paint is there?How much green paint is there?

There are 240 sweets in a bag. There are 240 sweets in a bag. The ratio of sugar to plain The ratio of sugar to plain sweets if 17:13. How many plain sweets if 17:13. How many plain sweets are sweets are

in the bag?in the bag?

Time!Time!

We use time every day. It is a very useful thing in life.

Can you work out the new times?

Nicole arrives at the swimming pool at 9:15. She spends 45 minutes at the pool. When does she leave?

Bob watches a film that lasts 1 hour and 10 minutes. There is a 20 minute delay because the lighting doesn’t work. He comes out at 2:30. What time did the film start?

:

:

Sammy finishes cricket at 10.10. It takes Sammy 25minutes to drive to football from cricket and then he has 1hour and 15 minutes of football. What time did he finish football?

Ruby starts dancing at 13:45. The dancing class goes on for 1 hour and 10 minutes. She doesn’t leave until another 25 minutes. What time does Ruby leave her dancing class?

:

:

James goes to bed at 21:00. He sleeps for 9 hours but snoozes in bed for and extra 35 minutes, then he gets up. What time does he get up?

Kieron catches the 10:15 boat to Portsmouth. The boat takes 52minutes to arrive. Kieron booked a bowling lane for 11:35. How long does he have to get to the bowling place?

:

Speed, Distance and TimeSpeed, Distance and Time

Take a look at this alphabetical Take a look at this alphabetical order triangle. This is all we order triangle. This is all we need to find speed, distance and need to find speed, distance and time…time…

Distance

Speed Time

To find distance, multiply the speed by the time (ST)

To find speed, divide the distance by the time (D/T)

To find time, divide the distance by the speed (D/S)

Try these…Try these…

Find the distance if a car drove Find the distance if a car drove 5miles per minute in 4minutes.5miles per minute in 4minutes.

Find the speed if a dog ran 4miles Find the speed if a dog ran 4miles in 2minutes.in 2minutes.

Find the time if a person ran Find the time if a person ran 21metres at 1 metre per 2 21metres at 1 metre per 2 seconds. seconds.

Solving equations!Solving equations!

Find the value of x if:Find the value of x if:

3x + 2 = 32 3x + 2 = 32

We basically need to work We basically need to work backwards. So 32 – 2 = 30backwards. So 32 – 2 = 30

30 – 3 = 10. So x = 10 30 – 3 = 10. So x = 10

Try these:Try these:

What is x if:What is x if:2x - 2 = 222x - 2 = 22

What is y if:What is y if:9y – 2 = 709y – 2 = 70

What is a if:What is a if:11a + 7 = 5111a + 7 = 51

Plans and Elevations!Plans and Elevations!The plan of a shape is the top, The plan of a shape is the top,

What is seen from a bird looking What is seen from a bird looking down!down!

An elevation is of a shape is the An elevation is of a shape is the side. What a snail would see!side. What a snail would see!

Plan

Elevation

What are the correct plans and What are the correct plans and elevations of the shapes?elevations of the shapes?

A B C

A B C

A B C

NetsNetsNets are the layout of the shape. Nets are the layout of the shape.

When you fold up the net you When you fold up the net you will end up with the shape.will end up with the shape.

Net Shape

Are these correct nets of the Are these correct nets of the following shapes?following shapes?

Incorrect Correct

Incorrect Correct

Incorrect Correct

Straight Line GraphsStraight Line Graphs

Straight line graphs are straight Straight line graphs are straight lines on a co-ordinate grid. All lines on a co-ordinate grid. All they do is tell us the position they do is tell us the position and steepness of the line. The and steepness of the line. The number before the x tells us how number before the x tells us how steep the line is (also known as steep the line is (also known as the gradient) and the number the gradient) and the number after the + or – tells us where after the + or – tells us where abouts the line crosses the y abouts the line crosses the y axis. axis.

The bigger the number before the x the The bigger the number before the x the steeper the line. So 5x would be a steeper the line. So 5x would be a steeper line than 2x.steeper line than 2x.

If the line equation has a – then it passes If the line equation has a – then it passes through the y axis on the negative bit. through the y axis on the negative bit. If it is a + then it passes through the y If it is a + then it passes through the y axis at the positive bit.axis at the positive bit.

Some equations may just be Some equations may just be

Y =3x without a + or - because they Y =3x without a + or - because they cross through the y axis at 0. And cross through the y axis at 0. And some equations could be Y = 5 some equations could be Y = 5 because the are flat and just cross because the are flat and just cross through the y axis at 5 with no through the y axis at 5 with no gradient.gradient.

Can you find the – and + part of the equations Can you find the – and + part of the equations for these lines.for these lines.

Line A Y =

Line B Y = 0.5X

Line C Y = 3X

A

B

C

I hope that you found my maths powerpoint useful and fun.

If you did why not try looking at my other powerpoint on SPAG.

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