Nuffield Maths 5: Teacher's Handbook

This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project.

Each chapter contains a brief outline of what is being attempted in the chapter, where it is leading, revision required and the stages of learning.

Addition - Introducing the thousand ▪ Adding thousands, hundreds, tens and units ▪ Using apparatus ▪ Extended notation ▪ Conventional layout.

Shape 1 - Angles - degree measurement ▪ Angles of a triangle ▪ Angles in special triangles.

Subtraction - Subtraction of four-digit numbers ▪ Finding the difference by counting on.

Area 1 - Areas and perimeters ▪ Making shapes ▪ Larger areas.

Multiplication 1 - Multiplying any two-digit number by a single digit ▪ Multiplication by flow-charts ▪ A shorter way to multiply.

Volume and Capacity - Volume of a prism: By counting cubes and layers ▪ By area of cross-section x length ▪ Capacity of prismatic containers.

Division 1 - Revision of previous work leading to division of two digits by one with answers greater than 20 ▪ Division of three digits by one with answers less than 100 ▪ Revision of multiplication by 10 and multiples of 10 leading to a shorter layout.

Length 1 - Revision of metres and parts of a metre ▪ Multiplication of metres and centimetres by a single digit ▪ Division of metres and centimetres by a single digit.

Money - Multiplication of £ by a single digit ▪ Division of £ by a single digit ▪ Shopping problems.

Rounding off - The number line and similar graduated scales ▪ Rounding off decimal numbers ▪ Approximate area ▪ Approximate volume.

Area 2- Area of right-angled triangles ▪ Area of other triangles.

Co-ordinates - Revision of plotting points ▪ A straight line graph ▪ Plotting shapes ▪ Simple transformations.

Weight - Nett weight and gross weight ▪ Recording on the abacus - decimal notation ▪ Multiplication and division of weight.

Fractions 1 - Multiplication and division by one ▪ Addition and subtraction of fractions with the same denominator, related denominators, different denominators.

Graphs - Using a graph ▪ Illustrating an investigation ▪ Temperature graphs ▪ Conversion graphs ▪ A nomogram.

Multiplication 2 - Multiplication by multiples of 10 and 100 ▪ Multiplication together of two 2-digit numbers.

Shape 2 - Angles of a quadrilateral ▪ Some special quadrilaterals ▪ Tessellation.

Division 2 - Multiplication by 100 and multiples of 100 leading to division with answers > 100 ▪ Division of three digits by two with divisors less than 20.

Time - The 24-hour clock ▪ From one time to another ▪ Time-tables ▪ Multiplication of time.

Fractions 2 - Mixed and improper fractions ▪ Addition and Subtraction of mixed numbers.

Length 2 - Measuring in millimetres ▪ Using a decimal abacus ▪ Calculation in millimetres ▪ Using 2 mm graph paper.