Mathematics Expressions and Formulae (National 4)
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1 Applying
algebraic skills to manipulating expressions and working with formulae |
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1.1 |
Using the distributive law in an expression with a numerical common factor to produce a sum of terms |
3(4x
+ 2) 5(a
- 2c) |
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1.2 |
Factorising a sum of terms with a numerical common factor |
7x
+ 21 24y
– 9 |
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1.3 |
Simplifying an expression which has more than one variable |
3a
+ 4b – a + 6b |
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1.4 |
Evaluating an expression or a formulae which has more than one variable |
Evaluate
linear expressions for given variables 4w
+ 6t – 3k |
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1.5 |
Extending a straightforward number or diagrammatic pattern and
determining its formula |
4,
7, 10, 13,… From
patterns in diagram format Evaluate
the determined formula for a given variable |
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CT |
·
Regular Polygons in a Row (pattern &
formulae) |
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CT |
·
Domino Games |
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CT |
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Reversing |
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CT |
·
Extension Tasks (Pascal’s Triangle and
Tetrahedron) |
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1.6 |
Calculating the gradient of a straight line from horizontal and vertical distances |
vertical
distance over horizontal distance positive
and negative gradients parallel
lines have equal gradient |
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2 Applying geometric skills to circumference, area
and volume |
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2.1 |
Calculating the circumference and area of a circle |
Given
radius or diameter |
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CT |
·
Perimeter of Arbelos |
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2.2 |
Calculating the area of a parallelogram, kite, trapezium |
Composite
shape |
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2.3 |
Investigating the surface of a prism |
know
face, vertex, edge draw nets calculate
surface area |
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2.4 |
Calculating the volume of a prism |
Triangular
prism, cylinder, other prisms given the area of the base |
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2.5 |
Using rotational symmetry |
With
straightforward linear shapes |
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3 Applying
statistical skills linked to representing and analysing data and to
probability |
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3.1 |
Constructing a frequency table with class intervals from raw data |
Using
ungrouped data |
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3.2 |
Determining statistics of a data set |
mean
median mode range |
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3.3 |
Interpreting calculated statistics (2.4 Managing Finance and Statistics) |
Using
mean, median, mode, range to compare data
sets |
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3.4 |
Representing raw data in a pie chart |
Calculation
of sector angles for given categories |
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3.5 |
Using probability |
calculation
of probability interpret
probability in the context of risk |
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NQ Curriculum Support
Probability risk prediction scenarios NQ Curriculum Support
Misleading graphs leading to misleading probabilities |
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4 Mathematical reasoning skills |
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4.1 |
Interpreting a situation where mathematics can be used and identifying a valid strategy |
Can
be attached to a skill of Outcome 1 to
require analysis of a situation |
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4.2 |
Explaining a solution and relating it to context |
Can
be attached to a skill of Outcome 1 to
require explanation of the solution given |