OVERBERG EDUCATION DISTRICT GET: CAPS EXEMPLAR PLANNING: GRADE 8 MATHEMATICS: TERM 2 2014 SCHOOL: __________________________________________ EDUCATOR:_______________________________________ CLASS GROUPS:______________________ Title of learner text book:................................................................................................. SECOND TERM TOPIC AND CONTENT 2.3 PERIODE Textbook pg. nr. DBE pg. nr OTHER SOURCES DATE COMPLETED COMMENT ALGEBRAIC EXPRESSIONS (9h = 12x45 minute periodes) Consolidation from first term: o Conventions (e.g. 2 x x =2x / bac = abc) o Degree of expressions (polynomials), and other relevant information from expressions, e.g. coefficient, no. of terms, etc. o Like/unlike terms o Addition and subtraction of like terms o Multiplication and division of monomials (single) with monomials, binomials(two), and trinomials (three) o Rules/laws of Exponents o Squares, cubes, square roots and cube roots of single or like o The value of a algebraic expression through substitution 1-5 2 TOPIC AND CONTENT PERIODE Textbook pg. nr. DBE pg. nr OTHER SOURCES DATE COMPLETED COMMENT Now second term content follows (more complex/ application): Addition and subtraction of algebraic expressions 6-7 Multiplication of monomials (single) with monomials, binomials (two), and trinomials (three) 8-9 Division of monomials (single), binomials (two), and trinomials (three) by monomials 10-11 Find the value of an algebraic expression through substitution 2.4 12 ALGEBRAIC EQUATIONS (3h = 4 x 45 minute periodes. Solve equations by using o Additive inverses o Multiplicative inverses o Exponential laws Problem solving using algebraic equations 1-3 4 3 TOPIC AND CONTENT 3.5 PERIODE Textbook pg. nr. DBE pg. nr OTHER SOURCES DATE COMPLETED COMMENT CONSTRUCTION OF GEOMETRIC FIGURE (8h: Make it 11 x 45 minute periodes) 3.1 Classify, measure and draw angles using protractors Bisect lines and angles through construction Draw perpendicular lines at a given point on a line segment, or from a point outside a line segment. Construct a perpendicular bisector of a line segment/Construct parallel lines to a given line segment Construct triangles and use constructions to make a deduction regarding the sum of the interior angles of a triangle, as well as the exterior angle of a triangle. Construct quadrilaterals and use constructions to make deduction regarding the sum of the interior angles of a quadrilateral. Construct angles of 30˚, 45˚, 60˚ and their multiples, without the use of a protractor GEOMETRY OF 2-D FORMS (8h: Make it 9 x 45 minute periodes) Triangles: Identify and describe (define) in terms of their sides and angles: o Equilateral triangles o Isosceles triangles o Right-angled triangles 1 2 3 4-5 6-8 9-10 11 1-3 4 TOPIC AND CONTENT PERIODE Textbook pg. nr. DBE pg. nr OTHER SOURCES DATE COMPLETED COMMENT Quadrilaterals: Identify and describe(define) in terms of their sides and angles: 4-6 o o o o o o Parallelograms Rectangles Squares Rhombus Trapezium Kite Congruent and similar triangles and quadrilaterals 7-9 o Identify and describe properties of congruent forms (triangles and quadrilaterals) o Identify and describe properties of similar forms (triangles and quadrilaterals) Problem solving (integrated) Important note: Integrate problem solving with the above properties as learners encounter them, e.g. combine the sum of the interior angles of a triangle with the theorem on the exterior angle of a triangle, adjacent supplementary angles on a straight line with special triangles. Opportunity for the solving of problems should also be given. This integration should continuously happen as concepts develop. You can also make use of constructions in an investigation for a FAT on the sum of the interior angles of a triangle, as well as the exterior angle of a triangle. Learners focus in grade 9 on the cases of congruency (eg. one case is SSS, where the sides of one triangle are equal to the corresponding sides of the other triangle), and the cases of similarity (e.g. one case of similarity is AAA,where the three angles of one triangle are equal to the corresponding three angles of the other triangle. In grade 8 the focus is on the properties of congruent and similar figures, not the cases. 5 TOPIC AND CONTENT 3.3 PERIODE Textbook pg. nr. DBE pg. nr OTHER SOURCES DATE COMPLETED COMMENT GEOMETRY OF STRAIGHT LINES (9 h: Make it 13 x 45 minute periodes) Adjacent angles on a straight line Vertical opposite angles Corresponding angles Alternate angles Co-interior angles 1-10 Problem solving 11-13 Notes Understanding and consolidation is key in this section. Make use of constructions and other practical activities, e.g.cut and paste, transparencies, wallcharts, computer software te enable learners to get a solid grounding. Sufficient informal assessment should be the order of the day. Integrate all geometry covered up to this point when doing problem solving/revision. SUMMARY: TIME ALLOCATION for 2nd Term Topic Algebraic expressions Algebraic equations Geometric constructions Geometry of triangles and quadrilaterals Geometry of straight lines Revision/Assessment 45 min periodes 12 4 11 9 13 8 hours 6 EXEMPLAR SCHOOL ASSESSMENT PLAN FOR THE SECOND TERM SBA -TASK TOPIC CONTENT FAT 3: Geometry of 2- D shapes Investigation 1 FAT 4: Controlled Test 2 FAT 5: Mid-year exams Algebraic expressions Algebraic equations Geometry of 2-D shapes (triangles and quadrilaterals) Geometry of straight lines Whole Numbers Integers Exponents Numeric and Geometric patterns Functions and relationships Algebraic expressions Algebraic equations Geometry of 2-D shapes (triangles and quadrilaterals) Geometry of straight lines MARK WEIGHTING DATE Sum of the interior angles of a triangle Exterior angle of a triangle Work covered up to this point 50 20% of term mark 10% of year mark 12/05/2014 50 20% of term mark 10% of year mark 22/05/2014 Work covered for the term 100 60% of term mark 10% of year mark School decides on exam dates 7