Western Cape Education Department

DIRECTORATE: CURRICULUM DEVELOPMENT

FET NCS

PACE SETTERS FOR GRADE 10

2008

SUBJECT: MATHEMATICS

This pace setter is aligned to and must be read in conjunction with the Subject Statement and Subject Assessment Guideline

  • This pace setter serves as a guideline and does not replace the need for designing a work schedule for the year
  • Assessment standards 10.1.6 (solving non-routine problems) and 10.2.6 (Mathematical Modelling) must be infused throughout the year, where appropriate.

LO and
Assessment Standard / Content Description / Assessment Activities / Week /

Completed

10.1.1 / Rational numbers
Identify rational numbers
Convert between terminating or recurring decimals and fractions / Daily informal assessment: Class work and or homework / 1
10.1.2 / Irrational numbers
Identify irrational numbers
Place a simple surd between two integers
Round off irrational numbers to an appropriate degree of accuracy / Daily informal assessment: Class work and or homework / 2-3
10.2.4 / Algebraic expressions
Products: a binomial by a trinomial
Factorisations: trinomials; grouping in pairs
Algebraic fractions with monomial denominators / Daily informal assessment: Class work and or homework
TEST
/ 4-8
10.2.5 / Solving equations and inequalities
Linear equations and inequalities
Simultaneous equations (linear)
Quadratic equations by factorisation / Daily informal assessment: Class work and or homework
ASSIGNMENT
/ 9-11
LO and
Assessment Standard / Content Description / Assessment Activities / Week /

Completed

10.2.1 – 10.2.3
work with various types of functions ( See SAG p 17 for list)
Investigate effects of parameters (see 10.2.2) by generating as many graphs by point-by point-plotting or using available technology
Identify characteristics of various functions (see list in SAG on p. 18) / Functions and Graphs: Algebraic
recognise relationship between variables in different representations ( numerical, graphical, verbal and symbolic)
convert flexibly between different representations (tables, graphs, words, formulae)
investigate and generalise effects of different parameters
Identify characteristics
Use characteristics to drawsketch graphs / Daily informal assessment: Class work and or homework
INVESTIGATION / 12- 14
10.1.2
10.2.5 / Exponents
Simplify expressions using laws of exponents
Solve exponential equations of the form / Daily informal assessment: Class work and or homework / 15
10.3.5 – 10.3.6 / Trigonometry:
Definition of trig ratios (sinθ, cosθ, tanθ)
Application of trig ratios to solve problems in 2 & 3D / Daily informal assessment: Class work and or homework
TEST / 16
10.3.3 / Co-ordinate geometry
Distance between two points
Gradient of a line segment joining two points
Co-ordinates of the midpoint of a line segment joining two points / Daily informal assessment: Class work and or homework / 18 - 19
Mid-year examinations / EXAMINATION / 20-22
LO and
Assessment Standard / Content Description / Assessment Activities / Week /

Completed

10.2.1 – 10.2.3
work with various types of functions ( See SAG p 17 for list)
Investigate effects of parameters (see 10.2.2) by generating as many graphs by point-by point-plotting or using available technology
Identify characteristics of various functions (see list in SAG on p. 18) / Functions and Graphs: Trigonometric
recognise relationship between variables in different representations ( numerical, graphical, verbal and symbolic)
convert flexibly between different representations (tables, graphs, words, formulae)
investigate and generalise effects of different parameters
Identify characteristics
Use characteristics to drawsketch graphs / Daily informal assessment: Class work and or homework
Investigation / 23- 24
10.3.2 / Transformation Geometry
Translations horizontally and vertically
Reflections in the x-axis, the y-axis and the line y = x / Daily informal assessment: Class work and or homework / 25
10.1.3 / Number patterns
Formulating and testing conjectures
Generalising and providing explanations and justifications / investigation / 26-28
10.4.1 / Data Handling:
Collect , organise and interpret data
Represent data ( see list in SAG p22)
Measures of central tendencies (mean, median and mode)
Measures of dispersion (range, percentiles, quartiles) / Daily informal assessment: Class work and or homework
PROJECT / 29 -31
Consolidation and integration / Tutorials / 32
LO and
Assessment Standard / Content Description / Assessment Activities / Week /

Completed

10.3.1 / Volume and surface area:
Effect of multiplying any dimension by a constant factor / Daily informal assessment: Class work and or homework / 32 - 33
10.3.2 / Properties of polygons
Formulating and proving conjectures / Daily informal assessment: Class work and or homework
INVESTIGATION
/ 34
10.1.4 / Simple and compound growth formulae / Daily informal assessment: Class work and or homework / 35
10.1.5 / Foreign exchange rate / 36 - 37
Revision / Tutorials / 38
Final examination / examination / 39-40

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