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.

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.

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.

Negative & Fractional

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I Do, We Do, You Do Example Sheet covering Negative and Fractional Indices, with emphasis on understanding rather than generic rules.

Worksheet on Fractional Indices

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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Standard Form

 

Adding and Subtracting SF

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I Do, We Do, You Do Example Sheet covering Adding and Subtracting Standard Form.

Multiplying SF

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I Do, We Do, You Do Example Sheet covering Multiplying Standard Form.

Dividing SF

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I Do, We Do, You Do Example Sheet covering Dividing Standard Form.

Converting Standard Form

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I Do, We Do, You Do Example Sheet covering to and from Standard Form.

Standard Form Review 1

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Review-style worksheet covering Converting Standard Form, Multiplying and Dividing Standard Form.

 

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 ideal 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.

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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I Do, We Do, You Do Example Sheet covering Adding and Subtracting Fractions with the same denominators.

 

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.

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.

 

Percentages

% of Amount

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I Do, We Do, You Do Example Sheets covering Finding Percentages of Amounts.  The first covers using a written method, the second using a calculator multiplier method.

% Increase/Decrease

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I Do, We Do, You Do Example Sheet covering Percentage Increase and Decrease, predominantly using a multiplier.

Repeated % Change

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I Do, We Do, You Do Example Sheet covering Repeated Percentage Change, including increase and decrease.  This also includes problems where the percentage increase/decrease changes.

This focuses predominantly on financial problems.

Reverse Percentages

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I Do, We Do, You Do Example Sheet covering finding the original amount through reverse percentages.

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Negative Numbers

 

Adding Negatives

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Worksheet covering adding negative numbers.

This resource uses double-sided counters in order to aid understanding.

Multiplying Negatives

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Worksheet covering multiplying negative numbers.

This resource uses double-sided counters in order to aid understanding.

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.