Get: Caps Exemplar Planning: Grade 8

OVERBERG EDUCATION DISTRICT

GET: CAPS EXEMPLAR PLANNING: GRADE 8 MATHEMATICS: 2015

SCHOOL: ______

EDUCATOR:______CLASS GROUPS:______

Title of learner text book:......

Thus document should be used in conjunction with the CAPS, WCED pacesetters, as well as the DBE work books. FISRT TERM

CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S WHOLE NUMBERS (6 h - 8x45 min per)

 Ordering  Properties (Distributive/Associative/ Commutative/Inverse/Identity elements)

 Four basic operations (include long division, addition and subtraction, and multiplication in columns), rounding off (decimals excluded- covered in 3rd term) and BODMAS.

 Multiples and factors o Prime numbers and Composite numbers o Root/factor tree and ladder method for finding prime factors. o LCM & HCF

 Ratio and rate (including the Distance/speed/time formula)

2 CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S

 Financial maths: Solving of problems (using %, whole numbers, decimal fractions) e.g. profit and loss, discount, budgets, loans, simple interest, hire purchase, exchange rates (N.B. Financial maths is covered more broadly in term 3).

INTEGERS

(9 h- 12 x 45 min per)

 Ordering (Use for example temperature, bank balance, height above sea level and depths below the sea, number lines)

 Properties (Distributive/Associative/ Commutative/Inverse/Identity elements) (N.B. This is a repeat of the properties as covered in periods 1-2 w.r.t. Whole numbers, and it’s now applicable to Integers-pay special attention to additive inverses!) Thus document should be used in conjunction with the CAPS, WCED pacesetters, as well as the DBE work books. CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S

 Four basic operations. Include

o Multiplication and division where the resultant sign has to be determined (Rules must be deduced and consolidated, e.g. (-) x (+) = (-) o Long division, o Addition and subtraction o Multiplication (in columns – Consolidate work here that have already been covered in Whole numbers!)

 Take note: Important points for teaching: o The subtraction of a number is equivalent to addition of its additive inverse! o Multiplication is a repeated addition. (A possible strategy for finding the resultant sign when multiplying Integers (CAPS P 78) o Use calculators selectively to test answers.  Solving problems in context/  Consolidating- Whole numbers/Integers-BODMAS 4 CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S

EXPONENTS (9 h- 12 x 45 min per)

 Notation and meaning

 Rules

o am x an = am+n

o am ÷ an = am-n

o (am)n = amxn

o (a x b)n = ab x bn

o a0 = 1

 Scientific notation

 Squares and square roots (Find the square roots of large numbers by using the factor tree/root and ladder methods. (Revise this method covered in Whole numbers!)

Thus document should be used in conjunction with the CAPS, WCED pacesetters, as well as the DBE work books. CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S  Cube and cube roots (Find the square roots of large numbers by using the factor tree/root and ladder methods. (Revise this method covered in Whole numbers!)  Consolidation/integration/BODMAS

NUMERICAL AND GEOMETRIC PATTERNS (3,75 h = 5x45 min per)

 Numeric patterns: o Extend/rule (words/formula Applying the formula

 Geometric patterns: o Extend/rule (words/formula Applying the formula

 Consolidating

 NOTE (Integrate patterns with Substitution/BODMAS/Exponents!)

FUNCTIONS AND RELATIONSHIPS (2,25 h = 3x 45 min per) 6 CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S

 Input and output values in o Flow diagrams, formulas, equations, tables

 Finding output values by substitution

 NOTE: Integrate/Revise with Substitution/BODMAS/Exponents/patte rns already covered earlier!

ALGEBRAIC EXPRESSIONS (6 h = 8x45 min per)

 expressions and terms/degree of expressions  Variables and constants/coefficients/powers

 Conventions (the language of algebra):

o 2 x x =2x

o x x 2=2x

o 1 x x = x

Thus document should be used in conjunction with the CAPS, WCED pacesetters, as well as the DBE work books. CONTENT TEXTB. DBE OTHE DATE DATE COMMENT pg nr. pg nr. R PLAN. COMPL. RESO URCE S o p x p = p2

o x ÷ y =

o bac = abc

o x +x+x = 3x

 Like and unlike terms

 Addition and subtraction of algebraic terms

 Substitution

 Finding squares and square roots/cubes and cube roots of algebraic terms  Consolidate/revise through-out!

Revise work already covered earlier in Whole numbers, Integers and Exponents as a starting point here!

8 CONTENT TEXTB. DBE OTHE DATE DATE COMMENT p nr. p nr. R PLAN. COMPL. RESO URCE S ALGEBRAIC EQUATIONS (3 h = 4 x 45 min per.

 Set up equations to explain problem situations

 Solve equatins through o Addition and Multiplicative inverses o Exponents  Consolidation/revision

ANNUAL ASSESSMENT PLAN (SUMMARY)

TERMS PROJECTS INVESTIGATIONS TUTORIALS TESTS EXAMS Term 1 FAT 1: FAT 2: Tutorial 1 Test 1 Term 2 FAT 3: FAT 4: FAT 5: Investigation 1 Test 2 June exam Term 3 FAT 6: FAT 7: FAT 8: Project 1 Tutorial 2 Test 3 Term 4 FAT 9: FAT 10: FAT 11 Investigation 2 Tutorial 3 Year-end exam Total number of 1 project 2 investigations 3 tutorials 3 tests 2 exams tasks SUMMARY: TIME ALLOCATION

Topic 45 min per. Thus document should be used in conjunction with the CAPS, WCED pacesetters, as well as the DBE work books. Whole numbers 8 Integers 12 Exponents 12 Numeric and Geometric 5 patterns Functions and relationships 3 Algebraic expressions 8 Algebraic equations 8 Revision/assessing 6 hours