Year 5

Calculating with whole numbers and decimals

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Lessons (15)

    In this lesson, we will review place value and show our understanding using Dienes blocks and place value counters. We will represent decimals in a variety of ways including as the sum of place value parts.
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    In this lesson, we will review decimal place value understanding and use Dienes blocks to explain multiplication and division by 10, 100 and 1000.
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    In this lesson, we will add and subtract decimals using our known facts to help us.
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    In this lesson, we will use the formal written method to add decimal numbers and correct mistakes made with this method.
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    In this lesson, we will use the formal written method to subtract decimal numbers and correct mistakes made with this method.
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    In this lesson, we will use a range of informal mental strategies to add and subtract decimal numbers.
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    In this lesson, we will solve addition and subtraction problems with decimals and generate our own word problems to suit equations. We will develop our understanding of decimal problem-solving through bar models and a variety of real life contexts.
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    In this lesson, we will derive multiplication facts involving decimal numbers, exploring a range of language structures and models. By the end of this lesson we will be able to use a known fact (e.g. 2 x 6 = 12) to derive a decimal calculation (e.g. 0.2 x 6 =1.2).
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    In this lesson, we will examine multiplying decimals by a whole number using bar models and area models.
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    In this lesson, we will use the formal written layout (short multiplication) to multiply a decimal number by a single digit.
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    In this lesson, we will use doubling and round and adjust strategies to multiply decimal numbers. We will use doubling to multiply by two, four and eight and round and adjust in the context of money (e.g. £2.99 x 3).
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    In this lesson, we will solve problems with decimals through bar models in a variety of real life contexts, converting units of measurement where appropriate.
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    In this lesson, we will develop our understanding of pictorial representations when multiplying by a two-digit number and link this to the formal written method of long multiplication.
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    In this lesson, we will develop our understanding of formal written multiplication methods (long multiplication) and develop fluency multiplying 2-digits by 3-digits.
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    In this lesson, we will review the various methods of multiplication covered throughout this unit: area, formal written method and mentally derived facts. We will discuss which is the most efficient strategy for a variety of problems.
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