Concept List on FPRPR

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Long Division

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Concept

Level

Double number lines

Multiplicative relationship

Decimal multipliers for percentage change

Percentages of quantities

justification

middle

Area representation

Unit fractions

Division by a fraction

Bar models

Picture representation

Fractions of a quantity

Denominators the same

splitting

Low(concept)

Equal Pieces

Comparing Fractions

time table

X and Y

commutativity

Equal

Circles

Simplifying ratios

Comparing fractions

High

A ratio can be represented by a double number line

Area

Fractions of amounts

Subtraction can be represented by addition.

Addition is adition

numerator

Denominator

Numerator

repetatve adding is multiplication

Medium

Multiplying and dividing mixed numbers

HCF

Equal pieces

Negation

Multiplier

Quotient

middle

Common Factors

Multiply and divide integers by fractions

Enlargement

Ratios can be simplified

Multiples

Factors

Negating

Fractions to Percentages

Exponents

MiddleMiddle

Multiplication

LCM

Linear sequences

Fractions can be converted into percentages

Fractions can be converted into decimals

Long division and short divison(along side x)

Lin

Decimals can be converted into percentages

percentages can be fractions and numbers and decimals

Decimals can be converted into fractions

Ratios can also be represented on

Addition can be represented by subtraction.

Ratios can be fractions

Number lines

Distributivity

Equivalent Fractions

Dividing Fractions

Simplifying fractions

Divisors

Low

Double number-lines

Multiplication can be represented as division

Link

Denominators

Numerators

Multiply Fractions

Division can be represented as multiplication

Middle

Decimals

Ratio

Proportional Relationships

Percentages

Fractions

Top

Maths

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Subtopic

Main topic