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Maths Year 10 GCSE Home Learning

Week Commencing 01/06/2020

Intended Outcomes:

Pupils develop a range of ways to describe position, direction and movement in everyday life and mathematical problems.

Specific objectives covered across the week:

  • Describe positions on the full coordinate grid (all four quadrants).
Session Learning Activities / Web Links / Worksheets
1

Warm Up:

Numeracy 5-a-day Challenge

Answers

 

Today we are going to be focusing on developing our multiplication skills with our 100 Club challenge!

 

If you are feeling particularly brave, then try to complete the 100 Club Extra Challenge in under 10 minutes.

 

100 Club

100 Club Extra Challenge

 

You can use the classroom timers at this link to set yourself a 10 minute time limit for both challenges

 

https://www.online-stopwatch.com/classroom-timers/

 

When you have finished, use a calculator to check how many you got right!

 

2

Warm Up:

Numeracy 5-a-day Challenge

Answers

 

The focus of today's session is on co-ordinates in all four quadrants. To start with, have a look at the poster below explaining about different co-ordinates in each of the four quadrants. See if you can write the co-ordinates for each letter.

 

To ease us into working with co-ordinates, today's task will only involve working in the first quadrant. Complete the worksheet below to reveal the different emoji faces!

 

Emoji co-ordinates activity

3

Warm Up:

Numeracy 5-a-day Challenge

Answers

 

Today, we are going to work across the four quadrants to find co-ordinates. First, watch the video below:

 

 

Once you have watched the video, have a go at completing the different exercises in the worksheet below. They start off using just the first quadrant but progress to using four quadrants. If you need to, refer back to the poster from the last session and re-watch the video above for additional support.

 

Co-ordinates Tasks

Some of the tasks ask you to re-create graphs on squared paper. If you haven't got access to some, you can find printable squared paper using the link below.

 

Printable squared paper

4

Warm Up:

Numeracy 5-a-day Challenge

Answers

 

This session is going to focus on money!

 

First, have a go at the following task on MyMaths

 

Money calculations

You will need your individual log ins to be able to save your progress. If you haven't got these, please email Mrs. Wharton-Darke or Mr Day and they will be able to get them for you :)

 

Next up, have a go at both of the games below.

 


Online Game 1                                                   Online Game 2

 

Previous Weeks

Week commencing 18/05/2020

Intended outcomes:

To begin to explore and interpret the world around through statistical enquiry and representations.

Specific objectives covered across the week:

  • Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
Session Learning Activities/Web links/Worksheets
1

Warm up:

Numeracy 5-a-day 18th May

ANSWERS

 

Tally and Bar Charts

Here's a little tally chart activity to start...

And then this bar chart matching activity

 

Now have a go at making a tally chart and then bar chart for this set of Furbles...

You could categorise them by colour, shape or number of eyes, it's up to you!

If you don't have graph paper then you can use this Printable Graph Paper

 

Now have a go at these practice exam questions on Bar Charts Tally Charts and Pictograms

 

ANSWERS

 

 

2

Warm up:

Numeracy 5-a-day 19th May

ANSWERS

 

Distance Time Graphs

Distance-time graphs are a way to show data about how someone or something is moving over time.

I have used my cycling data as an example.

Here's a map of a 24km bike ride I did last week:

Here is a table showing how long it had taken at each kilometre of the ride...

Time elapsed (nearest minute) Distance (km)
10 1.4
20 3.5
30 5.7
40 9.5
50 11
60 13.6
70 16
80 19
90 21
100 24

 From this I can draw a graph. Watch these videos which show you how to draw and interpret a distance-time graph. Have some squared paper, ruler and pencil to hand so that you can draw the graph as well as you watch. 

If you haven't got any squared paper at home you can use this Printable Graph Paper

                                 VIDEO 1                                                                                      VIDEO 2

                                 

 

VIDEO 3

 

 

 

Here's another video which looks in more detail...

 

 

Now consolidate your understanding by completing these Distance Time Graph Questions

ANSWERS

3

Warm up:

Numeracy 5-a-day 20th May

ANSWERS

Today is about consolidating yesterday's work on distance-time graphs.

It might be worth re-watching this video from yesterday....

 

Have a go at this activity which is looking at interpreting the graph of the famous race between....the Hare and the Tortoise!

Hare and the Tortoise Activity

Answers

 Now have a go at matching these graphs with the description in this 

Matching Activity

Answers

4

Warm up:

Numeracy 5-a-day 21st May

ANSWERS

 

Time! 

Today there are some fun games and an interactive wordsearch! Go to the following website and use this ACCESS CODE to play: 

R M 8 7 6 1

TWINKL GO! LOGIN

Alternatively consolidate and extend your skills with distance-time graphs by completing these Travel Graph Questions

 

Week Commencing 11/05/2020

Intended Outcomes:

For pupils to develop their understanding of multiplicative relationships including between the operations of multiplication and division.

Specific objectives covered across the week:

  • Multiply and divide numbers mentally drawing upon known multiplication facts.
  • Divide numbers up to 4 digits by a one-digit number using the formal written method of short division
  • Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

 

Session General Notes Learning Activities / Web Links / Worksheets
1

Today we are going to be looking at improving our times tables skills with our 100 Club challenge!

 

Multiplication skills are really important as they are woven through so many different areas of maths.

 

If you ever have any spare time and are at a loss for something to do - PRACTICE YOUR TIMES TABLES!!!

 

Warm Up:

5-a-day Numeracy 11th May

Answers in the video below:

 

Set the countdown clock below to 10 minutes and then see how many of the times tables questions you can get right before the timer runs out.

 

Dynamite Countdown Clock

100 Club Challenge Questions

When you have finished, see if you can create any division facts from the multiplication questions you have completed.

 

For example...

 

3 x 5 = 15 Which means... 15 ÷ 5 = 3 and 15 ÷ 3 = 5

2

Today we are going to be looking at written methods of division.

 

We are going to be using a method that is sometimes called the bus stop method of division. After completing today's session, can you think why it might be called that?

Warm Up:

5-a-day Numeracy 12th May

Answers in the video below:

 

Use the PowerPoint presentation below to go through some simpler examples of using the bus stop method of division.

Bus Stop Method Presentation

Now you have had a practice with the method, we are going to make things a little trickier by increasing the size of the numbers. Have a go at the questions from the worksheet below and see how you get on! (Be careful, they aren't set out in the bus stop method - You need to do that yourself!)

Bus stop division questions

 The answers are on the second page - no cheating!

3 Today we are going to be looking at multiplying larger numbers using written methods.

Warm Up:

5-a-day Numeracy 13th May

Answers in the video below:

 

Watch the video below explaining how to multiply using the column method:

 

 

Now have a go at the questions in the worksheet below and see how you get on. Don't forget to set them out in the correct columns and to remember any numbers you carry across!

Multiplying 4 digit numbers by 2 digit numbers

4

This session is going to focus on money.

 

We will be looking at practical problems involving money and also finding change from different amounts with an online game.

 

Good luck!

Warm Up:

5-a-day Numeracy 14th May

Answers in the video below:

 

Have a go at these problems with money

 

Have a go at this online money game - there are options for increasing and decreasing the difficulty if needed.

Online money game

 

Week Commencing 04/05/2020

Intended Outcomes:

For pupils to be more confident in understanding, relating and using systems of measurement in their everyday lives and within mathematical problems.

Specific objectives covered across the week:

  • Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre, hour to minute and pounds to pence).
  • Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints.

 

Session General Notes Learning Activities / Web Links / Worksheets
1

Today we are going to be converting between metric units of length

 

(e.g. mm to cm, cm to m, m to km)

 

The video is very helpful in explaining how to converting between the different units but you may need to pause it to have a closer look at the examples.

 

Answers to the metric units questions can be found here:

 

Metric Unit Answers

Watch the video below:

 

 

The diagram below from about 50 seconds into the video is going to be particularly useful for today's learning.

 

See if you can complete questions 1 - 7 from the worksheet below:

Metric units questions

2

This session is all about converting between metric units of mass. 

 

Warm Up:

 

2nd May 5-a-day Numeracy Challenge

 

Watch the video below and practice along with the examples.

 

 

Using the "Metric units questions" worksheet from session 1, see if you can complete questions 8 - 10.

3

Today, we are building on our understanding by tackling practical word problems.

 

You might need to work through these slowly as they have multiple steps.

 

If you get stuck have a look back through your learning from sessions 1 and 2 this week as well as the videos to help you out!

 

Good luck.

See if you can apply the knowledge you have gained from the last two sessions to answer the questions below.

 

 

 

4

This session is going to focus on time.

 

We are going to look at improving our life skills by interpreting timetables.

Watch the video:

 

 

See if you can have a go at the questions from the worksheet below:

 

Using Timetables questions

 

Week commencing 27/04/2020

Intended outcomes:

For pupils to be more fluent at using addition and subtraction skills, including using number bonds and other known facts in order to more effectively and efficiently solve problems in a variety of contexts.

Specific objectives covered across the week:

  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
  • Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

 

Session General Notes Learning Activities / Web links / Worksheets
1

Use the video as a guide to remind yourself of the column method. 

 

If you need a practice before completing the worksheet, try to create some of your own 3 digit - 3 digit questions.

 

(e.g. 657-389)

 

Watch the video above to give you a reminder of how to use the column method for addition. Once you are familiar with the method, have a go at the different question below, paying particular attention to the "Apply" section.

Addition questions

2

Each of the questions in today's session involve more than one step to solve them.

 

Think carefully about each step and which operation (+ or -) it is asking you to complete.

Have a go at some of the questions in the link below. They are separated into differentiated sets (1 star - 3 star) - have a go at the section that you are most comfortable with!

Differentiated multi step questions

The answers to each section follow the questions. You can use these to self-assess and see how you got on!

3 Today we are going to take a break from looking at addition and subtraction and practice our times tables skills with our weekly 100 club activity.

Use the link below to have a go at the times tables questions.

100 Club times tables questions

Once you have finished, use a calculator to check your answers. Use the classroom timer below (if needed) to set yourself a 10 minute time limit.

 

Classroom timer

If you notice any particular times tables that you aren't particularly strong with after marking your 100 Club, spend some time focusing on practising those to try and improve next time.

4

This week we are focusing on money.

 

To tie in with the week's objectives, we will look at problems involving addition and subtraction.

We are going to have a go at some money related challenges today. Use the resource card below as a guide for the prices of different products.

Price guide

Have a go at the following questions using the price guide to help you.

Money questions

 

Week commencing 20/04/2020

Intended outcomes:

Pupils begin to recognise and familarise themselves with the mathematics in the world around them through developing their understanding of properties of 3D shapes.

Specific objectives covered across the week:

  • Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces. 
  • Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]. 
  • Recognise, describe and build simple 3-D shapes, including making nets. 

 

Session General Notes Learning Activities/Web links/Worksheets
1

Key Words:

 

Edges

Faces

Vertices

Have a go at the "3D Shapes" activity on mymaths (use the link below to log in)

 

Have a look through the lesson first and complete the activities on there before completing the online homework. Make sure you log in using your individual logins so that I can see your progress.

 

MyMaths login page

 

Mymaths main password:

 

Username: southbrook

Password: brook

 

 Please note your child has their own individual login so please contact Kathryn Wharton-Darke (Head of Maths) at the school k.wharton-darke@southbrook.devon.sch.uk if you do not know what this is.

2 Make sure that you look through the lesson first and complete the activities on there before completing the online homework. Make sure you log in using your individual logins so that I can see your progress.

Have a go at the "Nets of 3D shapes" tasks on the mymaths website using the link below to log in.

 

MyMaths login page

 

Mymaths main password:

 

Username: southbrook

Password: brook

 

 Please note your child has their own individual login so please contact Kathryn Wharton-Darke (Head of Maths) at the school k.wharton-darke@southbrook.devon.sch.uk if you do not know what this is.

 

ALTERNATIVELY

 

Have a go at creating the nets for the 3D shapes in the link below.

Real life 3D nets

3 Today is all about times tables (to keep our 100 Club practise going!)

Have a go at seeing how many of the times tables questions you can complete in 10 minutes.

 

100 Club times tables questions

 

Once you have finished, use a calculator to check your answers. Use the classroom timer below (if needed) to set yourself a 10 minute time limit.

 

Classroom timer

If you notice any particular times tables that you aren't particularly strong with after marking your 100 Club, spend some time focusing on practising those to try and improve next time.

4

Today we are going to be looking to improve our understanding of time 

 

Remember - 

 

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

52 weeks = 1 year

 

Watch this video explaining calculations involving time.

Calculations involving time

Now have a go at the questions on the worksheet below.

 

Time Calculations

 Previous weeks

Week commencing 13/04/2020

Intended outcomes:

To develop pupils broader number sense through exploring the differences between numbers, in different representations and contexts.

Specific objectives covered across the week:

  • Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.
  • Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers.
Session General Notes Learning Acitvities/Web links/Worksheets
1

Practising times tables skills is an important skill for looking at multiples and factors.

 

Continued practise will enable you to access different areas of learning more easily.

Attempt to complete as much of the 100 Club questions as you can in 10 minutes (no calculators!)

 

Once completed, use a calculator to check your answers using a calculator and see how many you got correct out of 100.

 

Good luck! 
2

Today we are looking at multiples.

 

A multiple is a number that is produced as a result of multiplying a number by an integer (whole number).

 

To recap this, you may wish to look at the video I have linked in or the following web page on factors and multiples:

 

factors and multiples

 

  • Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.

Watch the following video to recap what multiples are: Multiples

 

THEN complete these questions…

  1. Write the first six multiples of these numbers

 

5, 3, 4, 10, 7, 9, 11, 20, 100, 50, 12, 35.

 

  1. From the list of numbers below write down any numbers that are multiples of: a) 2 b) 3 c) 5 d) 10 e) 4 f) 15

 

100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 109

 

3

Use the following video to recap factors and common factors:

 

factors and common factors

 

See if you can complete the questions in the Learning activities section.

  1. a) List all the factors of 10
  2. b) List all the factors of 15
  3. c) Write down the common factors of 10 and 15.

 

  1. a) List all the factors of 12
  2. b) List all the factors of 18
  3. c) Write down all the common factors of 12 and 18.
  4. Write down all the common factors of each of these pairs of numbers

 

  1. a) 6 and 8 b) 15 and 20 c) 9 and 15 d) 7 and 14 e) 30 and 40

f) 21 and 27 g) 18 and 30 h) 16 and 24 

4

Today we are going to be concentrating on money and specifically finding percentages for different amounts of money.

 

To do this you can follow the method below:

 

You must first divide the percentage you want to find out by 100. You then multiply this answer by the whole number.

 

e.g. 25% of 50

 

25 ÷ 100 = 0.25 THEN… 0.25 x 50 = 12.5

 

Therefore, 25% of 50 = 12.5

 

If this was 25% of £50, then you would simply add a 0 on the end and include your £ notation so that your answer was £12.50.

 Have a look at Pricey percentages tasks and see if you can use the method to find the percentages for each amount of money in the questions.

Maths Year 10 GCSE Home Learning

Week commencing 27/04/2020

Intended outcomes:

For pupils to be more fluent at using addition and subtraction skills, including using number bonds and other known facts in order to more effectively and efficiently solve problems in a variety of contexts.

Specific objectives covered across the week:

  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
  • Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

 

Session General Notes Learning Activities / Web links / Worksheets
1

2
3
4

This week we are focusing on money.

 

To tie in with the week's objectives, we will look at problems involving addition and subtraction.

 

Week commencing 20/04/2020

Intended outcomes:

Pupils begin to recognise and familarise themselves with the mathematics in the world around them through developing their understanding of properties of 3D shapes.

Specific objectives covered across the week:

  • Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces. 
  • Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]. 
  • Recognise, describe and build simple 3-D shapes, including making nets. 

 

Session General Notes Learning Activities/Web links/Worksheets
1

Key Words:

 

Edges

Faces

Vertices

Have a go at the "3D Shapes" activity on mymaths (use the link below to log in)

 

Have a look through the lesson first and complete the activities on there before completing the online homework. Make sure you log in using your individual logins so that I can see your progress.

 

MyMaths login page

 

Mymaths main password:

 

Username: southbrook

Password: brook

 

 Please note your child has their own individual login so please contact Kathryn Wharton-Darke (Head of Maths) at the school k.wharton-darke@southbrook.devon.sch.uk if you do not know what this is.

2 Make sure that you look through the lesson first and complete the activities on there before completing the online homework. Make sure you log in using your individual logins so that I can see your progress.

Have a go at the "Nets of 3D shapes" tasks on the mymaths website using the link below to log in.

 

MyMaths login page

 

Mymaths main password:

 

Username: southbrook

Password: brook

 

 Please note your child has their own individual login so please contact Kathryn Wharton-Darke (Head of Maths) at the school k.wharton-darke@southbrook.devon.sch.uk if you do not know what this is.

 

ALTERNATIVELY

 

Have a go at creating the nets for the 3D shapes in the link below.

Real life 3D nets

3 Today is all about times tables (to keep our 100 Club practise going!)

Have a go at seeing how many of the times tables questions you can complete in 10 minutes.

 

100 Club times tables questions

 

Once you have finished, use a calculator to check your answers. Use the classroom timer below (if needed) to set yourself a 10 minute time limit.

 

Classroom timer

If you notice any particular times tables that you aren't particularly strong with after marking your 100 Club, spend some time focusing on practising those to try and improve next time.

4

Today we are going to be looking to improve our understanding of time 

 

Remember - 

 

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

52 weeks = 1 year

 

Watch this video explaining calculations involving time.

Calculations involving time

Now have a go at the questions on the worksheet below.

 

Time Calculations

 Previous weeks

Week commencing 13/04/2020

Intended outcomes:

To develop pupils broader number sense through exploring the differences between numbers, in different representations and contexts.

Specific objectives covered across the week:

  • Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.
  • Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers.
Session General Notes Learning Acitvities/Web links/Worksheets
1

Practising times tables skills is an important skill for looking at multiples and factors.

 

Continued practise will enable you to access different areas of learning more easily.

Attempt to complete as much of the 100 Club questions as you can in 10 minutes (no calculators!)

 

Once completed, use a calculator to check your answers using a calculator and see how many you got correct out of 100.

 

Good luck! 
2

Today we are looking at multiples.

 

A multiple is a number that is produced as a result of multiplying a number by an integer (whole number).

 

To recap this, you may wish to look at the video I have linked in or the following web page on factors and multiples:

 

factors and multiples

 

  • Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.

Watch the following video to recap what multiples are: Multiples

 

THEN complete these questions…

  1. Write the first six multiples of these numbers

 

5, 3, 4, 10, 7, 9, 11, 20, 100, 50, 12, 35.

 

  1. From the list of numbers below write down any numbers that are multiples of: a) 2 b) 3 c) 5 d) 10 e) 4 f) 15

 

100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 109

 

3

Use the following video to recap factors and common factors:

 

factors and common factors

 

See if you can complete the questions in the Learning activities section.

  1. a) List all the factors of 10
  2. b) List all the factors of 15
  3. c) Write down the common factors of 10 and 15.

 

  1. a) List all the factors of 12
  2. b) List all the factors of 18
  3. c) Write down all the common factors of 12 and 18.
  4. Write down all the common factors of each of these pairs of numbers

 

  1. a) 6 and 8 b) 15 and 20 c) 9 and 15 d) 7 and 14 e) 30 and 40

f) 21 and 27 g) 18 and 30 h) 16 and 24 

4

Today we are going to be concentrating on money and specifically finding percentages for different amounts of money.

 

To do this you can follow the method below:

 

You must first divide the percentage you want to find out by 100. You then multiply this answer by the whole number.

 

e.g. 25% of 50

 

25 ÷ 100 = 0.25 THEN… 0.25 x 50 = 12.5

 

Therefore, 25% of 50 = 12.5

 

If this was 25% of £50, then you would simply add a 0 on the end and include your £ notation so that your answer was £12.50.

 Have a look at Pricey percentages tasks and see if you can use the method to find the percentages for each amount of money in the questions.