# Rounding & Approximation

## 1 files22/07/2018

(From Tiffin Year 7 scheme of work)

(a) Round a number to a given number of decimal places or significant figures.

(b) Approximate the value to a multiplication/division by rounding each number to 1 significant figure.# Written Calculations

## 2 files22/07/2018

(From the Tiffin Year 7 scheme of work)

Multiplying, adding, subtracting and dividing decimals. Includes a group investigation on missing digit puzzles.# Pythagoras' Theorem

## 2 files22/07/2018

(From Tiffin Year 7 scheme of work)

(a) Apply Pythagoras' Theorem to single right-angled triangles.

(b) Appreciate that an answer in surd form is exact.

(c) Know common Pythagorean triples: (3,4,5), (5,12,13) and multiples of these.

(d) Solve more advanced problems involving use of Pythagoras' Theorem:

* Finding the perpendicular height and area of an isosceles and equilateral triangle (and a mental method for the latter).

* Multiple right-angled triangles with shared sides.

* Appreciate that we sometimes need to add lines to yield right-angled triangles.

* Use of algebraic sides.

* Appreciate that a triangle with angles 30-60-90 is half an equilateral triangle, using this to reason about sides.