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Springboard 6: Lessons for use in booster classes

Index to lessons 12 -22

The table below lists the second 11 half-hour lessons designed for use over about half a term. They can be downloaded in PDF format from the NNS Web site [click on 'download/order' at the top right of this page to access them].

The table also shows how the lessons link to the Units teachers are likely to be using during the Spring Term, though not necessarily in the order they are presented here. The objectives of each lesson draw on those in the Framework.

Each lesson has a sharp focus and is independent of the other lessons. However, there is scope to combine two half-hour lessons into a one-hour lesson as the topics are often related. This may require some minor changes to the structure and timing of the lessons.

The content of the lessons covers aspects of mathematics that the target group of children appears to find difficult. To help teachers with their lesson preparation and teaching, copies of related past Key Stage 2 national test questions have been included. With each question there is a brief analysis of children’s answers, and an outline of the key features teachers might address in their planning and teaching to help children cope more successfully with the mathematics.

  Lesson topic Objectives What children should be able to do by the end of the lesson
12 Addition and subtraction 1 Choose and use the appropriate operations of addition and subtraction to solve problems, explain methods and show working Associate key words such as ‘more than’, ‘altogether’, and ‘how many’, with the correct operation needed to solve real life problems
13 Addition and subtraction 2 Choose and use the appropriate operations of addition and subtraction to solve word problems involving time Find intervals for 24-hour times and use a timetable to work out the length of a journey and departure and arrival times
14 Shape and space Calculate angles in a triangle and around a point Find the missing angles in a triangle and around a point
15 Measures 1 Know approximate equivalents of imperial and metric units for lb and kg, miles and km, litres and pints Identify imperial and metric unit Order a set of imperial and metric units Know that 1 kg is just over 2 lb, that 1 litre is less than 2 pints and that 8 km is about 5 miles
16 Measures 2 Record estimates and readings from scales used to measure length, mass and capacity Read scales and identify on the scale the interval that contains a given value
17 Measures 3 Find perimeters of simple shapes and their areas by counting squares, and begin to use the formula in words for the area of a rectangle Find the perimeter and area of a rectangle Find the area of other shapes and compare the areas of these shapes
18 Problem solving 3 Read scales to a suitable degree of accuracy and extract and interpret data from tables and charts to solve problems Read scales from graphs and understand how data is represented on bar charts and pie charts
19 Problem solving 4 Solve problems involving ratio and proportion Solve simple problems involving ratio and proportion by scaling up and down, and work out the fractional part from a given ratio
20 Properties of and reasoning about numbers 1 Use tests of divisibility and factors of numbers to inform and check division calculations Decide whether a number is divisible by 2, 3, 4 or 5 and by multiples of 2, 3, 4 and 5
21 Properties of and reasoning about numbers 2 Use a given relationship expressed in words to develop a sequence and describe in words the rule for a given sequence Use a given rule to generate a sequence Describe a sequence in words and decide if a given number is in the sequence
22 Properties of and reasoning about numbers 3 Use knowledge of number facts and properties of numbers to solve number problems Use a calculator and known number facts to solve simple number problems