Ark Globe Academy Remote Learning Pack Phase V 10 Maths Work Pack Pha… · This means that this...

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Year 10 Maths

Foundation Ark Globe Academy

Remote Learning Pack Phase V

Monday 29 June – Friday 10 July

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Year 10 Foundation Maths

Session Title Work to be completed Resource provided

Outcome On-Line Support

1 Geometry See Narrated PPT on

week 1 Topics:

Gradient of a line

Foundation Phase V Booklet

All tasks completed to a high standard.

Hegarty maths Students’ VLE Mathswatch

2 Geometry Distance-time graphs Foundation Phase V Booklet



3 Numbers Writing and simplifying ratios




4 Numbers Dividing a quantity into a given ratio




5 Mixed Independent Learning task – Corbett Maths




6 Number See Narrated PPT on

Week 2 Topics

Unitary method




7 Numbers Best value for money Foundation Phase V Booklet



8 Number Direct proportion: Recipe problems




9 Geometry Pythagoras’ theorem Foundation Phase V Booklet



10 Mixed Independent Learning task – Corbett Maths




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Introduction

What is included in this home learning pack? It is not easy to learn at home without the support from your teacher that you are used to. This means that this pack includes some topics that you have already covered in Year 10 so that you get a chance to go back over them and remember them. It also includes some new topics that you would have been taught in the spring and summer terms. This new content is not everything and the topics have been chosen carefully as ones we think you can study on your own at home with the help of the resources in this pack. How should I use this pack effectively? You should make sure that you use the video tutorials for each topic to ensure you have fully understood the topic. This should then be followed by completing the practice questions and attempting the ‘extend’ questions to really make you think. Mark your own mark using the answers to check you are eon the right track. To finish, complete the progress check quizzes on Hegarty Maths to show your teacher that you are understanding the topics. They will be keeping an eye on your progress over the summer term. How is this booklet structured?

Key points Precise bullet points which outline the key knowledge you need to know in each topic

Examples – Video tutorials

Videos that explain each topic and go through key examples

Practice A series of questions to give you the opportunity to practice and

demonstrate you have understood the topic fully Extend Some more challenging and stretching questions to make you think

a little bit more. Rise to the challenge and have a go at these questions!

Answers A full set of answers for the practice questions so that you can

check your work and assess your progress as you work through the booklet

Progress check Quizzes on Hegarty Maths to show your teacher that you have

understood the topic fully

Weekly ‘Corbett Maths 5-a-day’ check ins Each week, you will have one lesson which provides you with a Corbett Maths 5-a-day challenge which covers a variety of topics. These questions are based around the essential topics we would expect Year 10 students to be confident with. You should complete them use the answers to these foundation questions at https://corbettmaths.com/5-a-day/gcse/ to check how you are getting on and make any corrections.

https://corbettmaths.com/5-a-day/gcse/

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Day 1: Gradient of a line

View Week 1 Narrated Powerpoint Lesson/Video

Key points

• The gradient of a line is its steepness. • To calculate the gradient of a line, we need to consider two coordinates on the line. • To calculate the gradient of a line: Gradient = 𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝒊𝒊𝑪𝑪 𝒚𝒚

𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪𝑪 𝒊𝒊𝑪𝑪 𝒙𝒙

• A line sloping from bottom left to top right has a positive gradient. • A line sloping from top left to bottom right has a negative gradient.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Gradient of a line

or click on the QR code to follow the hyperlink

CLIP NUMBERS: 201 & 202

http://www.hegartymaths.com/

https://videopress.com/v/ofzKuzrk

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Day 1Practice: Gradient of a line


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Extend

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Progress check

You should now complete quiz numbers 201 and 202 on Hegarty Maths to show your teacher that you have understood this topic.

Record your percentage scores below:

Quiz 201

Score:

%

Date completed:

Quiz 202

Score:

%

Date completed:

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Day 2: Distance-time graphs


Key points

• A distance-time graph displays the distance travelled on the y axis and the time taken on the x axis.

• We can calculate the speed using: Speed = 𝑫𝑫𝒊𝒊𝑫𝑫𝑫𝑫𝑪𝑪𝑪𝑪𝑫𝑫𝑪𝑪𝑻𝑻𝒊𝒊𝑻𝑻𝑪𝑪

• When an object is not moving, we say it is stationary. Although time passes, no

additional distance is travelled.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Distance-time graphs




https://videopress.com/v/ZUx7OA3k

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Day 2 Practice: Distance-time graphs


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Extend

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Progress check



Quiz 874

Score:

%

Date completed:

Quiz 876

Score:

%

Date completed:

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Day 3: Writing and Simplifying Ratios


Key points

• A ratio is a way of comparing parts of the whole. • We use a colon : to express a ratio’s parts. For example, 2 : 1. • 3 : 5 is read as “ three to five”. There are 8 parts altogether. These are split into 3

parts and 5 parts. This means the 8 parts are not equally shared. • Simplifying ratios is a very similar process to simplifying fractions. We look for the

HCF between the parts and use this to write the ratio in its lowest terms.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Simplifying ratios




https://videopress.com/v/HF72haJj

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Day 3 Practice: Writing and Simplifying Ratios


Extend

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Progress check



Quiz 328

Score:

%

Date completed:

Quiz 329

Score:

%

Date completed:

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Day 4: Dividing a quantity into a given ratio


Key points

• We can divide quantities into ratios. • In order to do this, we find the value of one part and then use this to find out how

much each share is worth.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Dividing quantities into ratios


CLIP NUMBERS: 332


https://videopress.com/v/fWR3zc0z

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Day 4 Practice: Dividing a quantity into a given ratio


Extend

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Progress check

You should now complete quiz number 332 on Hegarty Maths to show your teacher that you have understood this topic.

Record your percentage score below:

Score:

%

Date completed:

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Day 5: Independent Learning Task

Corbett Maths 5-a-day challenge

Answers to these foundation questions can be found at https://corbettmaths.com/5-a-day/gcse/


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Day 1: Unitary method


Key points

• We can divide quantities into ratios. • In order to do this, we find the value of one part and then use this to find out how

much each share is worth.


Unitary method


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Day 1 Practice: Unitary method


Extend

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Day 2 Best value for money


Key points

• We can use the unitary method (see previous lesson) to compare which offers provide best value for money.

• We need to make sure we are comparing like for like when trying to find the best value for money.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Best value for money




https://videopress.com/v/i0A4RGm4

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Day 2 Practice: Best value for money


Extend

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Progress check

You should now complete quiz number 764 on Hegarty Maths to show your teacher that you have understood this topic.

Record your percentage score below:

Score:

%

Date completed:

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Day 3: Direct proportion- Recipe problems


Key points

• When we want to change the quantity of a recipe, we need to use direct proportion. • As the batch size of a recipe increases, so do the ingredients required.


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Recipe problems




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Day 3 Practice: Direct proportion- Recipe problems


Extend

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Progress check



Quiz 739

Score:

%

Date completed:

Quiz 740

Score:

%

Date completed:

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Day 4: Pythagoras’ Theorem


Key points

• We can use Pythagoras’ theorem to find a missing side on a right-angled triangle when given two other sides.

• The side opposite the right-angle is called the hypotenuse. It is always the longest side of the triangle. We label this side c.

• The two shorter sides are labelled a and b. • Pythagoras’ theorem states: c2 = a2 + b2


OR If you do not have access to Hegarty Maths, you can use the Corbett maths videos below Pythagoras’ theorem




https://youtu.be/iWLVTy_rGjs

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Day 4: Pythagoras’ Theorem


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Extend

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Progress check



Quiz 498

Score:

%

Date completed:

Quiz 499

Score:

%

Date completed:

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Day 5 Independent Learning Task

Corbett Maths 5-a-day challenge

Answers to these foundation questions can be found at https://corbettmaths.com/5-a-day/gcse/


Ark Globe Academy Remote Learning Pack Phase V 10 Maths Work Pack Pha… · This means that this...

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