Mapping Docs

Year 7?

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?Year 11

Extension

Numbers and the number system

Place value, ordering and rounding

understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect

Dicey Operations* ü

read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01

extend knowledge of integer powers of 10; recognise the equivalence of 0.1, 1/10

and 10^-1; multiply and divide by any integer power of 10

express numbers in standard index form, both in conventional notation and on a calculator display

A Question of Scale ü

compare and order decimals in different contexts; know that when comparing measurements the units must be the same

Nice and Nasty ü

order decimals

convert between ordinary and standard index form representations

use standard index form to make sensible estimates for calculations involving multiplication and/or division

round positive whole numbers to the nearest 10, 100 or 1000, and decimals to the nearest whole number or one decimal place

round positive numbers to any given power of 10; round decimals to the nearest whole number or to one or two decimal places

use rounding to make estimates and to give solutions to problems to an appropriate degree of accuracy

round to a given number of significant figures; use significant figures to approximate answers when multiplying or dividing large numbers

understand how errors can be compounded in calculations

understand upper and lower bounds

Integers powers and roots

understand negative numbers as positions on a number line; order, add and subtract integers in context

First Connect Three ü

add, subtract, multiply and divide integers

Playing Connect Three ü
Weights ü
Consecutive Negative Numbersü
Article: Adding & Subtracting Negative Numbers

 Difference Sudoku

recognise and use multiples, factors, primes (less than 100), common factors, highest common factors and lowest common multiples in simple cases; use simple tests of divisibility
Sieve of Eratosthenes ü

How much can we spend? ü
Dozens ü
Factors and Multiples Game ü
Factors and Multiples Puzzleü
Article: Divisibility Tests

use multiples, factors, common factors, highest common factors, lowest common multiples and primes; find the prime factor decomposition of a number, e.g.

8000 = 2⁶ × 5³

Counting Cogs ü

Stars ü
Power Mad! ü

14 Divisors ü

Take Three from Five ü

Differences ü

use the prime factor decomposition of a number

Product Sudoku ü

Funny Factorisation

Filling the Gaps ü

American Billions ü

Expenses

recognise the first few triangular numbers; recognise the squares of numbers to at least 12 × 12 and the corresponding roots

use squares, positive and negative square roots, cubes and cube roots, and index notation for small positive integer powers

Sissa's Reward

use ICT to estimate square roots and cube roots

Generating Triples ü

use index notation for integer powers; know and use the index laws for multiplication and division of positive integer powers

use index notation with negative and fractional powers, recognising that the index laws can be applied to these as well

use inverse operations, understanding that the inverse operation of raising a positive number to power n is raising the result of this operation to power 1/n

Power Countdown ü

understand and use rational and irrational numbers

know that n^½ = ?n and

n^?= ³?n for any positive number n