Download Mathematics Unit Outcomes and Assessment Standards

Mathematics Unit Outcomes and Assessment Standards Progression Table National 4 and 5
Access 3
National 4
Expressions and Formulae 4
National 5
Expressions and Formulae 5
1
1
1.1
1.2
1.3
1.4
1.5
1.6
2
2.1
2.2
2.3
2.4
2.5
2.6
3
3.1
3.2
3.3
3.4
3.5
4
Use algebraic skills linked to straightforward
expressions and formulae by:
Using the distributive law in an expression with a numerical
common factor to produce a sum of terms
Factorising a sum of terms with a numerical common factor
Simplifying an expression which has more than one variable
Evaluating an expression or a formulae which has more than
one variable
Extending a straightforward number or diagrammatic pattern
Determining a formula from information or a diagrammatic
pattern
Use geometric skills linked to straightforward
expressions and formulae by:
Calculating the circumference and area of a circle
Calculating the area of a parallelogram, kite, trapezium
Investigating the surface of a prism
Calculating the volume of a prism
Investigating the gradient of a straight line
Using rotational symmetry
Use statistical skills linked to straightforward
expressions and formulae by:
Constructing a frequency table
Determining statistics of a data set
Interpreting calculated statistics
Representing data in a diagram
Using probability
Use mathematical reasoning skills linked to
straightforward expressions and formulae by:
4.1
Interpreting a situation where mathematics can be used
4.2
Identifying a valid strategy
4.3 Explaining a solution and relating it to context
1.1
1.2
1.3
2
2.1
2.2
2.3
2.4
2.5
2.6
3
3.1
3.2
3.3
4
4.3
4.4
4.3
Use numerical skills linked to expressions
and formulae by:
Working with surds
Simplifying expressions using the laws of indices
Rounding to a given number of significant
figures
Use algebraic skills linked to expressions
and formulae by:
Working with algebraic expressions involving
brackets
Factorising an algebraic expression
Completing the square in a quadratic expression
with unitary x2 coefficient
Reducing an algebraic fraction to its simplest
form
Applying the four operations to algebraic
fractions
Working with number sequences
Use geometric skills linked to expressions
and formulae by:
Determining the gradient of a straight line, given
two points
Calculating the length of arc or the area of a
sector of a circle
Calculating the volume of a standard solid
Use mathematical reasoning skills linked to
expressions and formulae by:
Interpreting a situation where mathematics can
be used
Identifying a valid strategy
Explaining a solution and relating it to context
Relationships 4
Relationships 5
1
1
1.1
1.2
1.3
2
2.1
2.2
2.3
3
3.1
3.2
Use algebraic skills related to straightforward
relationships by:
Drawing and recognising a graph of a linear equation
Solving linear equations
Changing the subject of a formula
Use geometric skills related to straightforward
relationships by:
Using Pythagoras’ theorem
Using a scale factor to enlarge or reduce a shape
Using properties of shapes and parallel lines
Use trigonometric skills related to straightforward
relationships by:
Calculating a side in a right-angled triangle
Calculating an angle in a right-angled triangle
1.1
1.2
1.3
1.4
2
2.1
2.2
2.3
2.4
3
4
4.1
4.2
5
5.1
5.2
5.3
Use statistical skills related to straightforward
relationships by:
Constructing a scattergraph
Drawing and applying a best-fitting straight line
3.1
3.2
3.3
Use mathematical reasoning skills linked to
straightforward relationships by:
Interpreting a situation where mathematics can be used
Identifying a valid strategy
Explaining a solution and relating it to context
4
4.1
4.2
Use algebraic skills linked to linear
relationships by:
Determining the equation of a straight line
Working with linear equations and inequations
Working with simultaneous equations
Changing the subject of a formula
Use algebraic skills linked to quadratic
relationships by:
Sketching a quadratic function
Determining the equation of a quadratic function
from its graph
Identifying features of a quadratic function
Working with quadratic equations
Use geometric skills linked to relationships
by:
Applying the converse of Pythagoras Theorem
Applying the properties of shapes
Using similarity
Use trigonometric skills linked to
relationships by:
Working with the graphs of trigonometric
functions
Working with trigonometric relationships in
degrees
Numeracy 3
Numeracy 4
Applications 5
1
1
Use numerical skills to solve given, straightforward reallife problems involving money/time/measurement by:
1
1.1
Selecting and using appropriate numerical notation and units
1.2
Selecting and carrying out calculations involving: whole
numbers, fractions, decimals, percentages, ratio and
proportion. Collectively these require evidence of all of the
following: addition, subtraction, multiplication and division
1.1
1.2
1.3
1.4
1.5
2
2.1
Use numerical skills to solve given, simple reallife problems involving money/time/
measurement by:
Selecting and using appropriate numerical notion
and units
Selecting and carrying out calculations involving:
whole numbers, simple fractions, simple
decimals and simple whole number percentages.
Collectively these require evidence of all of the
following: addition, subtraction, multiplication and
division
1.1
1.2
1.3
Reading measurements using a straightforward scale on an
instrument
1.4
Interpreting measurements and results of calculations to
make decisions
1.5
Explaining decisions based on the results of measurements
and calculations
3
2
Interpret graphical data and situations involving
probability to solve given, straightforward real-life
problems involving money/time/measurement by:
3.1
3.2
3.3
2.1
Extracting and interpreting data from at least two different
straightforward graphical forms
4
2.2
Making and explaining decisions based on the interpretation
of data from straightforward graphical forms
4.1
4.2
2.3
Making and explaining decisions based on probability
Extracting and interpreting data from at least one
simple graphical form
2.2
Making decisions based on interpretation of data
from a simple graphical form
2.3
Making decisions based on probability
2.1
2.3
Interpreting measurements and the results of
calculations
Interpret graphical data and situations
involving probability to solve given, simple
real-life problems involving
money/time/measurement by:
2
2.2
Reading measurements using a simple scale on an
instrument
Making decisions based on the results of
measurements and calculations
1.3
5
Use trigonometric skills linked to
applications by:
Calculating the area of a triangle using
trigonometry
Using the sine and cosine rules to find a side or
angle
Using bearings with trigonometry
Use geometric skills linked to applications
by:
Adding or subtracting two-dimensional vectors
using directed line segments
Interpreting three-dimensional coordinates or
directed line segments which are given in
diagrams
Adding or subtracting two- or three- dimensional
vectors using components
Use numerical skills linked to applications
by:
Working with percentages
Working with proportion
Working with fractions
Use statistical skills linked to applications
by:
Comparing data sets using statistics
Forming a linear model from a given set of data
Use mathematical reasoning skills linked to
applications by:
5.1 Interpreting a situation where mathematics can be
used
5.2 Identifying a valid strategy
5.3 Explaining a solution and relating it to context