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UNIT TITLE:
Number and Algebra, BLG149
LEVEL:
Two
CREDIT VALUE: 3
UNIT CODE:
old code: BLG149
This unit has 4 learning outcomes.
LEARNING OUTCOMES
ASSESSMENT CRITERIA
The learner will:
The learner can:
1. Demonstrate an understanding of
mathematical language with respect to
number.
1.1 Use the following terms appropriately:
whole numbers, natural numbers, integers
(both positive and negative values), digits,
factors, prime numbers, fractions,
decimals, reciprocals, percentages,
indices, standard form.
1.2 Identify place value.
1.3 Convert percentages to decimals and
fractions and vice versa.
1.4 Recognise square numbers up to 15 x 15
and the cubes of 2,3,4,5 and 10.
2. Undertake and solve mathematical
problems.
2.1 Perform calculations using addition,
subtraction, multiplication, division and
simple applications of ratio using the types
of number and terms stated in 1.1.
2.2 Perform calculations involving brackets and
apply operators in the correct order.
2.3 Round numbers to a stated number of
significant figures or decimal places.
2.4 Estimate the results of calculations.
2.5 Choose and use appropriate levels of
accuracy to express an answer.
3. Demonstrate an understanding of the need
for and use of symbolic notation, and use
correctly.
3.1 Substitute numerical values into given
formulae.
3.2 Perform addition, subtraction, multiplication
and division using algebraic terms.
4. Use a Cartesian graph to represent
information.
4.1 Draw axes with appropriate scales.
4.2 Plot points using Cartesian co-ordinates.
4.3 Interpret and sketch graphs from practical
situations (e.g. Hookes Law).
4.4 Extract information from graphs (e.g.
conversion or distance/time graphs).
4.5 Extrapolate and interpolate graphical data
and draw a line of best fit.
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SECTOR:
Collecting, Recording and Analysing Data
Two
3
BZK223
2.2
This unit has 4 learning outcomes.
LEARNING OUTCOMES
ASSESSMENT CRITERIA
The learner will:
The learner can:
1. Collect data for a purpose.
1.1 Design and use a questionnaire to collect
data comprised of open and closed
questions.
1.2 Use data collection sheets to record data
from a practical exercise (e.g. measuring
temperature change over time).
1.3 Identify strengths and weaknesses of
different methods of data collection.
2. Categorise and record data.
2.1 Using information from tables, lists, or
computer databases construct frequency
and grouped frequency tables.
2.2 Using suitable examples distinguish
between discrete and continuous data.
3. Represent and interpret data.
3.1 Using suitable data construct bar charts,
pictograms, pie charts and line graphs.
3.2 Interpret critically statistical diagrams and
graphs, explaining the main features of the
data represented.
3.3 Construct and use histograms with equal
intervals from frequency distributions.
3.4 By drawing a scatter diagram and a line of
best fit by inspection, comment on the
correlation of the data.
4. Analyse data.
4.1 Calculate mean, median and mode from
lists, ungrouped and grouped frequency
tables.
4.2 Calculate range and interquartile range.
4.3 Calculate the probability of a single event
within the context of the data collection.
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SECTOR:
Shape, Space and Measurement
Two
3
BZK221
2.2
This unit has 4 learning outcomes.
LEARNING OUTCOMES
ASSESSMENT CRITERIA
The learner will:
The learner can:
1. Understand and use properties of shape.
1.1 Distinguish between specific triangles,
quadrilaterals and polygons by their
properties.
1.2 Distinguish 3D shapes by their properties
and recognise their nets.
1.3 Measure angles in 2D shapes and deduce
their size using the following: angles in a
straight line, angles around a point, and
opposite, alternate and corresponding
angles.
2. Understand the basic trigonometry of a
right-angled triangle.
2.1 Calculate measurements using similar
right-angled triangles.
2.2 Use Pythagoras' theorem to calculate the
length of a side in a right-angled triangle.
3. Solve problems using measurements in
two and three dimensions.
3.1 Calculate, where appropriate, perimeters,
areas, surface areas and volumes of
simple regular shapes.
3.2 Interpret scale drawings.
3.3 Estimate measurements of everyday items.
3.4 Convert measurements between units (e.g.
cm2 and m2) and make rough conversions
between imperial and metric units.
3.5 Make calculations using compound
measure (e.g. speed, density) and use
appropriate units.
4. Using relevant examples describe and draw
transformations of 2D shapes.
4.1 Perform translations on squared paper and
using vector notation.
4.2 Perform reflections on squared paper.
4.3 Perform rotations on squared paper where
the centre of rotation is at any point.
4.4 Perform enlargements on squared paper
where the centre of enlargement is at any
point and the scale factor is positive.
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SECTOR:
Development of Ideas in Algebra
Two
3
BZK225
2.2
This unit has 4 learning outcomes.
LEARNING OUTCOMES
ASSESSMENT CRITERIA
The learner will:
The learner can:
1. Manipulate algebraic expressions in order
to solve problems.
1.1 Change the subject of a formula where the
subject appears in one term only.
1.2 Simplify expressions using the rules of
indices.
1.3 Expand expressions involving brackets and
factorise simple expressions.
1.4 Solve simple linear equations up to those
including brackets, and where the
unknown appears on both sides.
2. Use graphical methods to represent
algebraic relationships.
2.1 Construct a table of values from linear
algebraic equations.
2.2 Plot the graph of a linear function from a
table of values.
2.3 Use the formula y = mx + c to calculate the
values of m and c from a graph or table
of data.
2.4 Recognise and sketch graphs of y = x2, y
= x3 and y = a/x.
3. Use graphical and non-graphical methods
to solve algebraic problems.
3.1 Solve simultaneous equations containing
two variables graphically.
3.2 Plot the graph of a quadratic function.
3.3 Solve quadratic equations of the form
x2
+ ax + b = 0 using a graphical method.
3.4 Solve simple algebraic equations using a
'trial and improvement' method.
4. Perform an investigation, which leads to an
understanding of sequences.
4.1 Recognise and continue a pattern of
numbers to a specified term.
4.2 Recognise patterns of triangular numbers.
4.3 Find an algebraic expression for the nth
term of a linear sequence.
© NOCN 2004