The SUMS Mathematics Guide
 

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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.

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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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