NUMBER

 

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Place Value

 

Integer Place Value

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I Do, We Do, You Do Example Sheet and worksheet covering the basics of Place value for whole numbers.  This worksheet uses the idea of Place Value Counters in order to aid understanding.

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Decimal Place Value

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I Do, We Do, You Do Example Sheet a covering the basics of Place value with decimals.  This worksheet uses the idea of Place Value Counters in order to aid understanding.

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Types of Number

 

Powers and Roots

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I Do, We Do, You Do Example Sheet covering Squares, Cubes, Square Roots, Cube Roots and calculating with Powers and Roots.

Laws of Indices

 

Positive Indices

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I Do, We Do, You Do Example Sheet with lots of practise opportunities covering the multiplication, division and power-on-power laws.

Prime Factor Decomposition

 

Product of Primes

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I Do, We Do, You Do Example Sheet covering Product of Prime Factors, including using Prime Factor Tiles.

HCF & LCM from Venn

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I Do, We Do, You Do Example Sheet that builds upon Product of Prime Factors to find the HCF and LCM from a Venn Diagram.

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Rounding

 

Rounding to 10, 100, 1000

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I Do, We Do, You Do Example Sheet covering Rounding to the nearest 10, 100 or 1000.

This uses a number line approach and is idea for lower attainers.

 

Bounds

Upper and Lower Bounds

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I Do, We Do, You Do Example Sheet covering calculating Upper and Lower Bounds for values rounded to a given degree of accuracy, including decimal places and significant figures.

This also includes error intervals.

Calculating with Bounds

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I Do, We Do, You Do Example Sheet that builds upon Upper and Lower Bounds, including linking to Geometry.

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Estimating

 

Estimating

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I Do, We Do, You Do Example Sheet that builds upon Rounding to Estimating values to calculations.

This includes powers, roots and geometrical examples.

Fractions

 

Equivalent Fractions

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I Do, We Do, You Do Example Sheet and Worksheet covering identifying and writing equivalent fractions, including using a diagram.

Comparing Fractions

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I Do, We Do, You Do Example Sheet and Worksheet building on Equivalent Fractions in order to compare two or more fractions.

Adding Fractions

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Worksheet covering Adding Fractions, including using a diagram, equal and unequal denominators and mixed numbers.

Multiplying Fractions

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I Do, We Do, You Do Example Sheet and Worksheet covering Multiplying Fractions, including using a diagram, proper and improper fractions and mixed numbers.

Dividing Fractions

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I Do, We Do, You Do Example Sheet and Worksheets covering Dividing Fractions.

The first worksheet covers multiplying by the reciprocal method.

The second worksheet covers using the common denominator method.

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Decimals

 

Multiplying Decimals

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I Do, We Do, You Do Example Sheet covering Multiplying Decimals through understanding related calculations.

Dividing Decimals

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I Do, We Do, You Do Example Sheet covering Dividing Decimals through the use of simplifying fractions.  This also builds upon related calculations.

Surds

 

Introduction to Surds

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Worksheet covering the an introduction to Surds through the relationship of square numbers and square roots.

The worksheet begins to highlight some of the key rules regarding surds.

Simplifying Surds

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I Do, We Do, You Do Example Sheet and Worksheets covering simplifying surds.

The first worksheet covers simplifying sqrt(a) to b sqrt(c).

The second worksheet covers the reverse.

Adding and Subtracting Surds

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I Do, We Do, You Do Example Sheet and Worksheet that covers Adding and Subtracting Surds.  These initially start with a pictorial representation and increase in difficulty to those requiring sophisticated simplification.

The worksheet also includes difficult problems involving geometry.

Multiplying Surds

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I Do, We Do, You Do Example Sheet and Worksheet covering Multiplying Surds, including those requiring simplification.

Surds with Brackets

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I Do, We Do, You Do Example Sheet and Worksheets covering expanding single and double brackets where surds are involved.

Rationalising the Denominator

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I Do, We Do, You Do Example Sheet that covers rationalising the denominator, from a single surd to those requiring expanding a single and double bracket.