Maths in the Real World

KS3 to KS4 Bridging Unit

June 2008

And we have…

• How much do I earn?

• Bob the Builder

• Crowing Glory

• Retail Pressure

• Reps Uncovered

• Designer Deals

• Assessment/Evaluation

How much do I earn?

• Well done on getting the job, you earn £12,500, there will be a 2.5% increase in September, so how much will your MONTHLY pay packet be.

• The government will take 30% in tax and national insurance. How much a month will this be?

• You put £50 a month in a savings account. Each June you get 5% interest on the amount in your account. How much will you have on 30th June 2012?

• You have made a bad investment in shares. They are losing 10% a month. You put £1000 in today, how much will you have at the end of December?

In this Unit

• Percentages

• Percentage increase

• Percentage decrease

• Coumpound interest

Bob the Builder

• Bob needs to lay a patio 10m x 8 m. Each paving slab is 50cm x 50cm. How many will he need?

• Bob goes to a triangular garden where the 2 shortest sides are 30m and 40 m. Fence panels are 2m long, so how many will he need for the longest side? How many slabs will he need for a triangular patio?

• Bob is building a Shed. Draw him some plans and elevations.

• Bob needs 24 bricks for every 3 levels of a wall. How many will he need for a wall 33 levels high?

In this Unit

• Area

• Plans and Elevations

• Pythagoras

• Writing simple expressions

Crowning Glory

• You need bleach to dye in a ration of 3:2. The clients hair needs 400ml of dye, how much bleach?

• Bleach comes in 250ml bottles, how many will you have to open?

• An experienced hairdresser serves 20 clients day, while the trainee serves 6. What is the ratio?

• A hairdresser gets a bonus of £10 per 6 clients, how much does the experienced hairdresser get, and the trainee?

In this Unit

• Ratio

• Solving simple equations

• Unit conversion

Retail Pressure

• How much VAT is there in a year on a £35 a month contract?

• Each assistant serves 4 people an hour, working 7 hours a day. There are 12 assistants, and 7 working days. How many customers?

• You earn £1.50 commission for each customer you sell to. You work 5 days, at 7 hours. What should your commission be?

• You serve 120 customers in a week. What is your commission?

In this Unit

• Word problems to equations

• Ratio

• Percentages Revisted

Reps Uncovered

• £1 is worth €1.49• What is the cost of a trip of €40• A customer changes £100 into Euros.

Commission is 2%. How much do the get?• Each bus holds 52 tourists. You are booked to

take 250 tourists on a trip. The cost of each bus is €200. How much in £ do you charge each tourist to break even?

• A flight leaves Malaga at 8pm Spanish time. Spain is 1 hour behind the UK. The flight takes 2 hours 20 minutes. What time does it land?

In this Unit

• Ratio

• Conversion

• Rounding

• More equations

• Time

Designer Deals

• Design and cost a square based flower bed based on the costings given.

• Construct a Rose Window using at least 5 elements.

• Madonna wants a geometrical paint pattern based on a sequence for her music room. Give her what she wants!

In this Unit

• Ratio and Proportion

• Construction

• Sequences

Assessment/Evaluation

• TBC