Maths

Mathematics Foundation Tier Year 11

Pupils follow a balanced course leading to assessment in 4 attainment targets – Using and Applying Maths, Number and Algebra, Shape, Space and Measures and Handling Data.  The course is assessed by two 2-hour written examination papers.  One paper allows the use of a calculator and one paper does not.

Autumn Term

Using A Calculator

  • Using a calculator effectively

Accuracy

  • Understand and use upper and lower bounds.

Angles and Bearings

  • Recognise quarter turns and half turns clockwise and anticlockwise.

  • Name angles : acute, obtuse, right straight, reflex.

  • Measure and draw angles with a protractor.

  • Understand and use compass directions. 

  • Understand 3-figure bearings and draw them using a protractor. 

  • Calculate 3-figure bearings from a diagram not drawn to scale.

  • Construct scale diagrams involving distance and bearings. 

Compound Measures

  • Calculate compound measures ( inc. speed and density).

Statistics

  • Understand different ways of collecting data.

  • Design questions to collect data.

  • Collect data by sampling, observation or experiment.

  • Draw pictograms.

  • Obtain data from a database.

  • Sort and present data.

  • Group data in tally tables and grouped frequency tables.

  • Compare data using dual bar charts.

  • Draw frequency polygons.

  • Use a pie chart to display data as appropriate.

  • Interpret given pie charts.

  • Create scatter diagrams for discrete variables and draw a line of best fit by inspection and understand correlation.

Perimeter and area

  • Find the perimeter of triangles, rectangles and other polygons and simple compound shapes.

  • Calculate area by counting squares.

  • Calculate area of common shapes using the appropriate formulae. 

  • Calculate the area of simple compound shapes. 

  • Find the circumference and area of a circle.

Volume

  • Calculate volume by counting cubes. 

  • Work out the volume of cuboids by formulae.

  • Work out the volume of prisms.

Spring Term

Ratio

  • Recognise ratio as a way of showing the relationship between two numbers and understand the importance of order.

  • Simplify a ratio by dividing both parts by a common factor.

  • Use a given ratio and some information to find a missing quantity. 

  • Use the unitary method as a way of solving ratio and proportion problems.

  • Interpret and use a scale to show the relationship between a distance on a map and the distance on the ground.

Trial and Improvement

  • Use the ‘x-squared’, ‘square root’ and memory functions on a calculator. 

  • Solve problems by trial and improvement using a calculator. 

Loci

  • Understand the concept of locus.

  • Know and apply simple standard loci.

Similar shapes

  • Identify similar shapes.

  • Recall the conditions for similar shapes.

  • Calculate the unknown lengths in similar shapes.

Congruent triangles

  • Identify congruent triangles.

  • Recall the four conditions for congruent triangles.

  • Prove 2 triangles are congruent.

Pythagoras’ Theorem

  • Use Pythagoras’ theorem to calculate the length of the hypotenuse.

  • Use Pythagoras’ theorem to calculate the shorter sides of the right angle triangle.

  • Apply Pythagoras’ theorem to simple problems in right triangles.

Summer Term

  • Past exam papers.

In order to help your child progress in Mathematics you could:

  • Ensure they have a geometry set and a scientific calculator with them for all lessons.

  • Practice mental arithmetic.

  • Encourage your child to explain how they are completing a set task..

  • Play an active role in ensuring that your child is regularly accessing the website www.mymaths.co.uk which is used for all homework tasks and contains a vast amount of materials to support and enhance your child’s learning.

  • Whenever possible try to make your child aware of the mathematics involved in real life e.g. Utility bills, salaries, bank accounts, credit card and loans.