26 March 2015

26 March, S1/2 - Year 7 (Book Review / Assessment)*

Assessment

Driving Question
What topics do you need to focus on in the future?




Driving Question
What is the greatest mathematical invention of all time?
Learning Objectives
Beginning
Read through your books and respond to any of your Mr Kent's comments or questions. 
Developing
Complete the "Next Step" activity in your book in the space provided. 
Mastering
To complete the Academic Habits sheet and set your next targets.

Starter

NRich: Magic Triangle


Tasks
Number the pages in your book.

Stick all sheets in.


Book Review

Exercise 1
Find the mean of these sets of numbers and explain how you found your answer:
1) 2, 5, 12, 12, 34, 32, 15, 9, 10

2) 2, 3, 2, 4, 3, 4, 56

3) Why was the mean average not very useful in question 2?


4) What is the missing number? 5, 6, 7, 12, ?  the mean is 8


Exercise 2
A car hire company charges using the following formula:

Cost = 10d + m

Where d = number of days and m = mileage.

Calculate the cost if:

a) d = 2, m = 100
b) d = 10, m = 200
c) d = 5, m = 30


Exercise 3
Find the Highest Common Factors of the following sets of numbers:

a) 10, 14
b) 12, 18
c) 20, 35
d) 55, 75
e) 50, 100

Explain your method.

Exercise 4
Find the prime factors of the following numbers:

a) 20

b) 18
c) 35
d) 175
e) 500
f) 300

Explain your method.


Exercise 5
Write down the first 6 terms of each of these sequences and write down the expression that generates the sequence.

Example: 2, 5, 8, 11, 14, 17...... 3n - 1

a) 2, 4, 6...
b) 3, 5, 7...
c) 10, 20, 30...
d) 4, 7, 10...
e) 1, 3, 5...
f) 50, 100, 150...

Explain your method.


Exercise 6
Write down the first 6 terms of each of these sequences.

Example: 3n - 1.... 2, 5, 8, 11, 14, 17...... 

a) 3n 
b) 3n + 1
c) 4n - 1
d) 2n + 4
e) 10n
f) 12n

Explain your method.


Exercise 7
Write down the answers to the following (be careful about your method).

a) 2 x 4 + 1
b) 4 + 5 x 2
c) 6 - 2 x 2
d) 10 x 2 - 8
e) 8 - 10 x 2
f) 2 x 6 - 3 x 3

Explain your method.

Homework
1) Watch this fractions video - Comparing Fractions
2) Create a poster (either on paper or on your iPad) to explain what you have learnt.
3) Upload your work to Showbie.

25 March 2015

25 March, S3/4 - Year 11*

Driving Question: How do we find the best deal?
Mastering
To be able to explain how to compare prices of products to find the ‘best buy’.


Resources
Mastering

M1




25 March, S1/2 - Year 10 (Assessment)*

Driving Question
To use the assessment to inform your revision.



24 March 2015

24 March, S1/2 - Year 10*

Driving Question: What are we trying to show and what methods can we use to do this?

Learning Objective: To be able to recognise the different ways of sampling data. 
Beginning
To be able to design questionnaires and surveys which allow us to answer a question. To identify different types of data.
Developing
To demonstrate how to use and why we use simple sample methods.
Mastering
To be able to demonstrate the use of stratified sampling.

Resources 

Beginning

B1









B3
Questionnaire Worksheet

B4
Data Collection Sheets, Questionnaires & Bias

B5
What is wrong with this question and response section?

Question

How much do you spend on watching football?


Response Section

Not Much [ ]     Quite a lot [ ]       Loads [ ]



B6
Common issues with questions:
- Bias
- No time scale
- Unclear / confusing

Common issues with response sections:
- Overlaps
- Not all options covered
- Unclear / vague labels

B7
Exam Question: Questionnaires

B8
Types of data

MEP 20, page 7

Developing

D1








































Mastering

M1











Homework

23 March 2015

23 March, S3/4 - Year 7 (Book Review / Assessment)*

Assessment

Driving Question
What topics do you need to focus on in the future?



Driving Question
What is the greatest mathematical invention of all time?
Learning Objectives
Beginning
Read through your books and respond to any of your Mr Kent's comments or questions. 
Developing
Complete the "Next Step" activity in your book in the space provided. 
Mastering
To complete the Academic Habits sheet and set your next targets.

Starter

NRich: Magic Triangle


Tasks
Number the pages in your book.

Stick all sheets in.


Book Review

Exercise 1
Find the mean of these sets of numbers and explain how you found your answer:
1) 2, 5, 12, 12, 34, 32, 15, 9, 10

2) 2, 3, 2, 4, 3, 4, 56

3) Why was the mean average not very useful in question 2?


4) What is the missing number? 5, 6, 7, 12, ?  the mean is 8


Exercise 2
A car hire company charges using the following formula:

Cost = 10d + m

Where d = number of days and m = mileage.

Calculate the cost if:

a) d = 2, m = 100
b) d = 10, m = 200
c) d = 5, m = 30


Exercise 3
Find the Highest Common Factors of the following sets of numbers:

a) 10, 14
b) 12, 18
c) 20, 35
d) 55, 75
e) 50, 100

Explain your method.

Exercise 4
Find the prime factors of the following numbers:

a) 20

b) 18
c) 35
d) 175
e) 500
f) 300

Explain your method.


Exercise 5
Write down the first 6 terms of each of these sequences and write down the expression that generates the sequence.

Example: 2, 5, 8, 11, 14, 17...... 3n - 1

a) 2, 4, 6...
b) 3, 5, 7...
c) 10, 20, 30...
d) 4, 7, 10...
e) 1, 3, 5...
f) 50, 100, 150...

Explain your method.


Exercise 6
Write down the first 6 terms of each of these sequences.

Example: 3n - 1.... 2, 5, 8, 11, 14, 17...... 

a) 3n 
b) 3n + 1
c) 4n - 1
d) 2n + 4
e) 10n
f) 12n

Explain your method.


Exercise 7
Write down the answers to the following (be careful about your method).

a) 2 x 4 + 1
b) 4 + 5 x 2
c) 6 - 2 x 2
d) 10 x 2 - 8
e) 8 - 10 x 2
f) 2 x 6 - 3 x 3

Explain your method.

23 March, S1/2 - Year 11*

Driving Question: How do we find the best deal?
Mastering
To be able to explain how to compare prices of products to find the ‘best buy’.


Resources
Mastering

M1




20 March 2015

20 March, S3/4 - Year 10*

Book Review

Exercise 1
Draw a tree diagram to explain this puzzle and explain how you found your answer.


You have a box with 10 counters in it (3 red, 5 green and 2 yellow). You remove one counter at random. You do NOT replace it and then take a second counter.

a) What is the probability of getting two reds.
b) What is the probability of not getting any reds.
c) What is the probability of getting two different colours.


Exercise 2
Draw a tree diagram to explain this puzzle and explain how you found your answer.


You have a box with 10 counters in it (3 red, 7 green). You remove one counter at random. You replace it and then take a second counter.

a) What is the probability of getting two reds.
b) What is the probability of not getting any reds.
c) What is the probability of getting two different colours.


Lesson

Driving Question: What are we trying to show and what methods can we use to do this?

Learning Objective: To be able to recognise the different ways of sampling data. 
Beginning
To be able to design questionnaires and surveys which allow us to answer a question. To identify different types of data.
Developing
To demonstrate how to use and why we use simple sample methods.
Mastering
To be able to demonstrate the use of stratified sampling.

Resources 

Beginning

B1









B3
Questionnaire Worksheet

B4
Data Collection Sheets, Questionnaires & Bias

B5


B6
Common issues with questions:
- Bias
- No time scale
- Unclear / confusing

Common issues with response sections:
- Overlaps
- Not all options covered
- Unclear / vague labels

B7
Exam Question: Questionnaires

B8
Types of data

MEP 20, page 7

Developing

D1








































Mastering

M1











Homework

20 March, S1/2 - Year 11*

Driving Questions: What is the bearing you need to follow to get home?

Learning Objectives
Beginning
To be able to demonstrate the use of bearings.
Developing
To be able to demonstrate using a map to find distances, measure bearings and identify positions.

Resources

Beginning

B1



B2






B3
Introduce student to the idea of bearings.


Developing


D1
Introduce the idea that we can "triangulate" our position by taking a bearing from two know points on the maps.


Mastering


M1 
Use maps to come up with a route (including distance and bearings) between two locations. 

M2
Exam Questions: Using bearings to specify direction, measuring and drawing