The SUMS Mathematics Guide

The SUMS Mathematics Guide

SUMS Mathematics is an extensive set of Flash activities, designed to be simple, effective, and inexpensive. Our main website is www.sums.co.uk , or visit www.sumsmaths.co.uk for an Instant Evaluation. The pages of mathematics instruction linked below are provided as supplementary materials to support students and teachers using the full SUMS Mathematics online service. We continue to add new material as time allows. Copyright. If you have a subscription to SUMS Mathematics Online Service then you may print, copy and distribute the instructional material linked below within your establishment.

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ALGEBRA
	1. The basics	Using symbols ('x' and 'x squared')
		Writing algebraic expressions
		Evaluation by substitution
		Simplifying expressions

	2. Solving simple equations	The cover-up method
		The balance method 1
		The balance method 2

	3. Sequences	Examples of integer sequences
		Creating sequences with 'function machines'
		More uses of 'function machines'
		Finding the rule that makes a sequence

	4. Expand single brackets	Rectangle method
		Rectangle method (neg. nos.)
		Standard method

	5. Expand double brackets	Rectangle method
		Rectangle method (neg. nos.)
		Rectangle method (neg. pos.)
		Standard method
		Difference of two squares
		Example (ax + b)(cx + d)

	6. Simultaneous equations	Trial and error methods
		Substitution method
		Elimination by subtraction
		Elimination by addition
		Elimination by common multiple
		Graphical solutions

	7. Straight line graphs	Drawing straight line graphs
		Positive gradients
		Negative gradients
		The form y = mx + c
		The intercept (c)

DATA ANALYSIS
	1. Averages	The mean and the mode
		The median
		When to use each average
		Frequency tables, discrete data
		Frequency tables, grouped data
		Frequency tables, continuous data

DATA DISPLAY
	1. Bar charts	Bar charts for discrete data
		Bar charts for continuous data
		Frequency polygons
		Pictograms
		Stem and leaf diagrams

	2. Sorting	Carroll diagrams
		Venn diagrams (2 circle)
		Venn diagrams (3 circle)

	3. Pie charts	Reading data from pie charts
		Creating a pie-chart (method 1)
		Creating a pie-chart (method 2)

	4. Line charts (Line graphs)	Creating a line chart
		Line charts with a broken y axis
		Conversion charts

DATA GATHERING
	1. Planning	Sources and types of data
		Designing questionnaires

	2. Collection	Tally charts
		Simple tables
		Grouping data

FRACTIONS
		1. What we mean by a " fraction"
		2. Unit fractions of whole numbers
		3. Fractions of whole numbers (two step method)
		4. Know common sets of equivalent fractions
		5. Reduce a fraction to its simplest form (cancel)
		6. Convert fractions to a common denominator
		7. Convert top-heavy (improper) to 'mixed' fractions
		8. Addition of fractions
		9. Subtraction of fractions

NUMBERS
	1.Counting	The numbers to ten written in figures
		The numbers to ten written in words
		Counting from ten to twenty

	2. Two-digit numbers	Examples and the multiples of ten
		Comparing two or more two-digit numbers
		Written in a Number Square

	3. Three and four digit numbers	Writing & comparing three & four digit numbers

	4. Decimals	Tenths, hundredths and thousandths
		Multiplying by 10
		Dividing by 10

SEQUENCES
	1. Arithmetic sequences	Missing terms
		The sum and the nth term

SHAPE AND SPACE
	1. Angles and turns	Degrees
		Right angles
		Useful angles to know
		Protractor basics
		Protractor scales
		Acute and obtuse angles
		Reflex angles
		Points of the compass
		Compass bearings
		Angles on a straight line (add up to 180)
		Angles at a point (add up to 360)
		Angles in a triangle (add up to 180)
		Alternate angles (parallel lines)
		Corresponding angles (parallel lines)
		Vertically opposite angles
		Exterior angle of a triangle
		Interior angles of polygons
		Interior angles in a regular polygon
		Exterior angles in a regular polygon
		Angles in special triangles
		Angles in special quadrilaterals

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