Upload
others
View
0
Download
0
Embed Size (px)
Citation preview
Year 7 Maths
Higher Tier
Ark Globe Academy
Remote Learning Pack
Phase V
Monday 29 June – Friday 10 July
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
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.
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!
Step 7: Watch the part of the presentation for the day you are on, then complete the task in your work pack.
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
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
Practice
Extend
Extend 1:
Extend 2:
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
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
Example 2:
Example 3:
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:
Day 3: Dividing Fractions
Do Now
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
Examples
Practice
Extend
Extend 1:
Extend 2:
Extend 3:
Day 4: Dividing fractions greater than one/mixed numbers
Do Now
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
Example 2:
Example 3:
Practice
Question 1:
Question 2:
Extend
Extend 1:
Extend 2:
Extend 3: Lee has completed his homework. Can you spot any mistakes?
Day 5: Mixed exercise
Do Now
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
Extend
Extend 1:
Extend 2:
Extend 3:
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
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
Practice
Extend
Write your answer as a mixed number.
Day 7: Add or subtract fractions (same denominator)
part 2
Do Now
Examples
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
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
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
Practice
Extend
Day 9: Add or subtract fractions (different
denominator) part 2
Do Now
Examples
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.
Question 3 Work out the following additions and subtractions. Give your answers as simplified fractions. If necessary, give any answers as mixed numbers.
Extend
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=
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=