Download Mathematics Year 8 (Form 2) - Levels 7 - 8

Mathematics
Year 8 (Form 2) - Levels 7 - 8
Objectives marked with a ✔ were covered in Year 7 (Form 1) Level 7-8 or below. It is recommended that teachers
take this into consideration when planning the scheme of work. The detailed Curriculum Units may be accessed
through the eLearning Platform from the EOs Subject Room (Mathematics Secondary) or from
http://curriculum.gov.mt/en/Pages/Home.aspx.
OBJECTIVES
UNIT
8.1
Number
1
 Recognise and find common factors and multiples of up to three numbers.
2
 Recognise prime numbers and write numbers as a product of their prime factors.
3
 Find the least common multiple and highest common factor of up to three numbers and solve simple
problems using L.C.M. and H.C.F.
4
 Use the four rules for calculations with integers including the correct use of operations and the use of
brackets.
5
 Make efficient use of the basic functions on a calculator; the fraction, bracket, square, cube, square root
and cube root key.
NOTES
✔
Note: Bearings
removed from
syllabus
 Estimate the size of an angle up to 360°.
1
 Use a protractor to measure an angle up to 360°.
 Draw angles up to 360°.
8.2
Angles
2
 Solve problems involving angles at a point, angles on a straight line and vertically opposite angles.
 Solve problems involving parallel lines.
3
 Find unknown angles in triangles and quadrilaterals.
4
 Understand a proof that the exterior angle of a triangle is equal to the sum of the two interior opposite
angles.
Mathematics Syllabus 2014
Page 2 of 7
✔
LOGO enables
students to
experience angle as
a measure of turn
and reflect upon the
properties of
triangles and
quadrilaterals.
Year 8 (Form 2) Levels 7/8
UNIT
OBJECTIVES
1
2
8.3
Fractions
3
8.4
Decimals
 Write a fraction that is equivalent to another fraction.
 Change improper fractions to mixed numbers and vice-versa.
 Add and/or subtract two fractions including mixed numbers.
 Arrange fractions in ascending / descending order.
 Understand that the reciprocal of a number is its multiplicative inverse.
4
 Multiply and divide one fraction by another fraction (excluding mixed numbers).
5
 Solve problems involving fractions.
1
NOTES
 Recognise and use the symbols <, >, ≤ and ≥ to compare two quantities.
 Use the number line to illustrate simple cases of inequalities.
2
 Read decimal numbers from number lines and scales; read and use scales in practical situations.
✔
3
 Arrange decimal numbers in order of size.
✔
4
 Round numbers to a given number of decimal places and carry out rough estimates to check accuracy.
 Change fractions into decimals and vice versa.
✔
5
 Recognise recurring and non-recurring decimals.
Mathematics Syllabus 2014
Page 3 of 7
Year 8 (Form 2) Levels 7/8
UNIT
8.5
Percentages
OBJECTIVES
1
 Change percentages to fractions and decimals and vice-versa.
2
 Express one quantity as a percentage of another.
3
 Work out the percentage of a quantity.
4
 Work out the percentage increase and decrease.
1
8.6
Area and Volume
8.7
Triangles and
✔
✔
 Use the formula to find the area of a triangle
 Derive and use the formula to find the area of a parallelogram.
2
 Calculate the area of compound shapes.
3
 Work out the surface area of a cube and cuboid.
4
 Find the volume of compound shapes involving cubes and cuboids.
5
NOTES
 Understand that the prism is a solid with uniform cross-section
 Find the volume of a prism using V = area of cross-section × length.
1
 Classify triangles and quadrilaterals by identifying their geometric properties through line and/or
rotational symmetry.
2
 Identify tessellating shapes and cover a given area with tessellating shapes.
3
 Make accurate drawings of triangles.
4
 Draw simple scale drawings from given data and interpret scale drawings.
5
 Draw scale drawings to solve problems involving angles of elevation and depression.
Quadrilaterals
Mathematics Syllabus 2014
Page 4 of 7
Year 8 (Form 2) Levels 7/8
UNIT
8.8
Constructions
8.9
Directed
Numbers and
Sequences
8.10
Expressions and
Formulae
OBJECTIVES
1
 Use ruler and compasses only to construct a perpendicular at a point on a line.
2
 Use ruler and compasses only to construct a perpendicular from a point to a line.
3
 Use ruler and compasses only to construct the perpendicular bisector of a line segment.
4
 Use ruler and compasses only to construct the bisector of an angle.
5
 Construct squares and rectangles using ruler and compasses only.
1
 Add / subtract / multiply / divide directed numbers.
2
 Solve problems using directed numbers.
3
 Recognise number and geometric patterns.
✔
✔
 Generate terms of a sequence using term to term and position to term rules.
4
 Write the nth term expression of linear sequences of the form kn + m where k and m are integers.
1
 Simplify algebraic expressions by multiplying a single term over a bracket and/or collecting like terms.
2
 Factorise expressions by identifying a numerical common factor.
3
 Evaluate simple formulae by substituting letters with positive and negative inputs.
4

Mathematics Syllabus 2014
NOTES
✔
Derive and use formulae to solve problems.
Page 5 of 7
Year 8 (Form 2) Levels 7/8
UNIT
OBJECTIVES
1
 Draw and interpret bar charts and pie charts.
2
 Compile and interpret frequency tables for grouped/ungrouped discrete and continuous data.
8.11
3
 Understand, compute and interpret the mean, mode, median and range of a set of ungrouped data.
Statistics and
Probability
4
 Use a spreadsheet to construct bar charts and pie charts and compute the mean and range of a set of
ungrouped data.
5
 Understand and work out the probability of an event.
6
 Compile a possibility space and use it to find the probability of two events.
1
 Solve problems involving direct proportion using the unitary method.
2
 Use the ratio notation to compare two or more quantities and write ratios in their simplest form.
3

8.12
Ratio and
Proportion
NOTES
✔
✔
Divide a quantity in a given ratio.
 Identify shapes having reflection and/or rotational symmetry in 2D.
1
 Determine the order of rotational symmetry in 2D.
 Determine the symmetrical properties of a polygon.
8.13
Transformations
2
 Reflect a shape in the x-axis, y-axis, x = ±c, y = ±c and y = ±x; describe a reflection.
3
 Translate a shape horizontally and/or vertically given a column vector; describe a translation by a
column vector.
4
 Rotate a shape about the origin or one of the vertices using angles of 90° and 180°; describe a rotation.
5
Mathematics Syllabus 2014

Enlarge a shape by a positive integral scale factor using a centre of enlargement; describe an
enlargement.
Page 6 of 7
Year 8 (Form 2) Levels 7/8
UNIT
OBJECTIVES
1
 Solve linear equations in one unknown.
2
 Solve linear equations involving brackets.
3
 Use equations to solve problems.
1
 Understand that the equation of a straight-line describes the relationship between the x and y
coordinates, given the line-graph or the coordinates.
2
 Use the equation of a straight-line to generate a sequence of ordered pairs and plot them to produce its
graph.
NOTES
8.14
Solving
Equations
8.15
Coordinates
and Straight
Line Graphs
 Understand what is meant by ‘the gradient of a line’.
3
 Find the gradient from the graph. (Restrict to positive gradient).
 Interpret information presented in a variety of linear graphs.
4
 Use and draw conversion graphs.
Mathematics Syllabus 2014
Page 7 of 7
Year 8 (Form 2) Levels 7/8