42
Year 7 Maths Higher Tier Ark Globe Academy Remote Learning Pack Phase V Monday 29 June – Friday 10 July

Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

  • Upload
    others

  • View
    0

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Year 7 Maths

Higher Tier

Ark Globe Academy

Remote Learning Pack

Phase V

Monday 29 June – Friday 10 July

Page 2: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day Title Objective Resource

provided Outcome On-Line Support

1 Multiplying fractions

To be able to multiply proper fractions, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

Scan the QR code below with your phone

camera and click on the link which appears to find a video by Ms

Wight (try twice if it doesn’t

link directly first time)

This video can also be found on the VLE by following the guide

below

2 Multiplying mixed numbers

To be able to multiply mixed numbers. To be able to convert between top heavy fractions and mixed numbers

Annotated resources on the VLE

Do now and practice questions completed

3 Dividing fractions

To be able to divide proper fractions, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

4 Dividing mixed numbers

To be able to divide mixed numbers. To be able to convert between top heavy fractions and mixed numbers

Annotated resources on the VLE

Do now and practice questions completed

5 Mixed fraction questions

Practice multiplying and dividing proper fractions and mixed numbers

Annotated resources on the VLE

Do now and practice questions completed

6 Adding/ subtracting fractions with the same denominator

To be able to add and subtract proper fractions with the same denominator, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

Scan the QR code below with your phone

camera and click on the link which appears to find a video by Ms

Wight (try twice if it doesn’t

link directly first time)

This video can also be found on the VLE by following the guide

below

7 Adding/subtracting fractions with the same denominator

To be able to add and subtract proper fractions with the same denominator, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

8 Adding/subtracting fractions with different denominators

To be able to add and subtract proper fractions with the different denominators, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

9 Adding/subtracting fractions with different denominators

To be able to add and subtract proper fractions with the different denominators, leaving answers in their simplest form

Annotated resources on the VLE

Do now and practice questions completed

Page 3: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

10 Mixed questions

Practice all four operations with all types of fractions

Annotated resources on the VLE

Do now and practice questions completed

Step by step: How to access annotated resources

Step 1: On the school website go to the ‘COVID-19 CLOSURE’ then choose ‘SECONDARY

REMOTE LEARNING RESOURCES’ and then choose the link for your year group.

Step 2: At THE BOTTOM OF THE PAGE there is a link to the VLE.

Step 3: Log on to the VLE using your school email address and the same password you use

to log into the school computers. If you are unable to login let your LF lead know.

Step 4: You will then see the ‘Remote Learning’ page for your year group. Click on the link

for the subject that you need.

Page 4: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1
Page 5: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Step 5: You will then see the Learning Resources for the subject – these vary slightly but you

may see:

• If there is a video, it will appear on the first page – just press Play to watch this

Step 6: To view annotated PowerPoints, open the correct file for the week you

are on. Once you have opened the file, you can press the ‘Present’ button (top right,

circled in red) to watch the PowerPoint. Make sure your sound is on so you can hear

your teacher!

Page 6: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Step 7: Watch the part of the presentation for the day you are on, then complete the task in your work pack.

Page 7: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 1: Multiplying fractions

Examples – Video tutorials

Multiplying Fractions

or click on the QR code to follow the hyperlink

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 8: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Key points

1. Multiply the numerators

2. Multiply the denominators

3. Simplify the answer if needed.

Example: 𝟐/𝟑 x 𝟔/𝟏𝟏 = 𝟏𝟐/𝟑𝟑

Examples

Page 9: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Extend

Extend 1:

Extend 2:

Page 10: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 2: Multiplying fractions greater than one/mixed

numbers

Do now

Key points

1. Convert each number to an improper fraction.

2. Multiply the numerators and then the denominators.

3. Convert the result back to a mixed number.

Example: 𝟏 𝟐/𝟑 x 𝟐 𝟏/𝟒 = 𝟓/𝟑 x 𝟗/𝟒 = 𝟒𝟓/𝟏𝟐 = 𝟑 𝟗/𝟏𝟐 or 3𝟑/𝟒

Page 11: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Examples – Video tutorials

Multiplying Fractions

or click on the QR code to follow the hyperlink

Examples

Example 1:

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 12: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Example 2:

Example 3:

Page 13: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Work out the following multiplications. Give your answers as simplified fractions If any answers are top heavy fractions, write as mixed numbers

Extend

Extend 1:

Extend 2:

Extend 3:

Page 14: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 3: Dividing Fractions

Do Now

Page 15: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Key points

• The Reciprocal of a fraction is the inverse of the fraction. A fraction multiplied by its reciprocal will always equal 1.

• To divide a fraction by a fraction is the same as multiplying that fraction by the reciprocal of its divisor (the second fraction).

𝑬. 𝒈. 𝟏/𝟐 ÷ 𝟒/𝟓 = 𝟏/𝟐 x 𝟓/𝟒 = 𝟓/𝟖

• To divide a fraction by a whole number is the same as multiplying fraction by the reciprocal of the whole number.

Examples – Video tutorials

Dividing Fractions

or click on the QR code to follow the hyperlink

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 16: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Examples

Page 17: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Extend

Extend 1:

Extend 2:

Extend 3:

Page 18: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 4: Dividing fractions greater than one/mixed numbers

Do Now

Page 19: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Key points

• Change each mixed number to an improper fraction.

• Multiply by the reciprocal of the divisor, simplifying if possible.

• The divisor is the second fraction. It could also be a whole number in cases where the fraction is being divided by a whole number.

• Simplify the result (answer) if necessary.

Examples – Video tutorials

Dividing Fractions

or click on the QR code to follow the hyperlink

Example

Example 1:

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 20: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Example 2:

Example 3:

Page 21: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Question 1:

Question 2:

Extend

Extend 1:

Extend 2:

Extend 3: Lee has completed his homework. Can you spot any mistakes?

Page 22: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 5: Mixed exercise

Do Now

Page 23: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Work out, leave your answer in its simplest form: a. 1/2 × 3/5

b. 7/8 × 3/4

c. 4/5 × 9/10 (give your answer in its simplest form!)

d. 2/3 ÷ 8/11

e. 5/13 ÷ 2/3

f. 2/17 ÷ 2/5

g. 5/14 × 3/4

h. 2/3 × 18

i. 5 ÷ 3/4

j. 1 1/3 × 2 2/5 (giving your answer as a mixed number)

k. 1 4/7 ÷ 1 1/4 (giving your answer as a mixed number)

l. 5/6 ÷ 3

Page 24: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Extend

Extend 1:

Extend 2:

Extend 3:

Page 25: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 6: Add or subtract fractions (same denominator)

part 1

Do Now

Key points

• When we add or subtract fractions with the same denominator, we simply add the numerators together and keep the denominator the same.

• We are adding certain amounts of the same thing to each other – the denominators are like a unit.

• Be careful not to add the denominators as well.

• 𝑬. 𝒈 𝟑/𝟏𝟏 + 𝟔/𝟏𝟏 = 𝟗/𝟏𝟏

Page 26: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Examples – Video tutorials

Corbett maths videos below

https://corbettmaths.com/2013/02/15/adding-fractions-same-denominator/

Add/subtract fractions

or click on the QR code to follow the hyperlink

Examples

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 27: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Page 28: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Extend

Write your answer as a mixed number.

Page 29: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 7: Add or subtract fractions (same denominator)

part 2

Do Now

Examples

Page 30: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

1) 5

6+

2

6

2) 6

7−

2

7

3) 8

11+

5

11

4) 5

9+

2

9

5) 4

5−

1

5

6) 3

10+

4

10

7) 7

12−

3

12

8) 3

8+

1

8

Extend

Page 31: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1
Page 32: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 8: Add or subtract fractions (different

denominator) part 1

Do Now

Key points

• When we add or subtract fractions with the same denominator, we first need to convert the fraction to have the same denominator. We do this by creating equivalent fractions.

• We can find the Lowest Common Multiple of the denominators to use as the denominator of our equivalent fractions.

• Then we simply add the new numerators together, keeping the denominator the same. Simplify if necessary.

• Remember not to add the denominators as well. • 𝑬. 𝒈 𝟑/𝟕 + 𝟏/𝟑 = 𝟗/𝟐𝟏+ 𝟕/𝟐𝟏

• = 𝟏𝟔

𝟐𝟏

Page 33: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

The Corbett maths videos below

https://www.youtube.com/watch?v=lalcQLW6MWE

Add/subtract fractions

or click on the QR code to follow the hyperlink

Examples

Scan the QR code with your phone camera and click on the link which appears to watch the video

Log on to the school VLE using the guide above to watch a video by Ms Wight on this topic

Page 34: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1
Page 35: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1
Page 36: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice

Extend

Page 37: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 9: Add or subtract fractions (different

denominator) part 2

Do Now

Examples

Page 38: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1
Page 39: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Practice Question 1 Work out the following additions and subtractions. Give your answers as simplified fractions.

Question 2 Work out the following additions. Give your answers as simplified fractions. If necessary, give any answers as mixed numbers.

Page 40: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Question 3 Work out the following additions and subtractions. Give your answers as simplified fractions. If necessary, give any answers as mixed numbers.

Extend

Page 41: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

Day 10: Mixed questions

Do Now

Practice

1. Work out:

a. 2

3 +

3

4=

b. 2

5 +

3

7=

c. 2

9 +

4

5=

d. 23

4 + 3

1

5=

e. 31

5 + 4

5

6=

f. 53

7 + 2

2

3=

Page 42: Year 7 Maths Higher Tier Ark Globe Academy Remote Learning ... 7... · Phase V Monday 29 June – Friday 10 July . Day Title Objective Resource provided Outcome On-Line Support 1

2. Work out:

a. 4

5 ×

2

5=

b. 5

12 ×

6

10=

c. 9

10 ×

3

15=

d. 23

4 × 1

1

5=

e. 31

5 × 4

5

6=

f. 22

9 × 4

3

5=

3. Work out:

a. 4

5 ÷

2

6=

b. 3

7 ÷

3

5=

c. 6

8 ÷

4

11=

d. 23

4 ÷ 1

1

5=

e. 32

7 ÷ 2

7

10=