South Africa Grade 3 School Syllabus - Mathematics

Numbers, Operations and Relationships

• Term 1:
• Counts forwards and backwards in 1s, 2s, 3s, 4s, 5s, 10s, and 100s to at least 200.
• Groups objects to estimate and count reliably up to at least 200 objects.
• Recognises, identifies, reads, and writes number symbols 0-500 and number names 0-250.
• Describes, compares, and orders numbers to 99.
• Recognises the place value of numbers to 99.
• Solves word problems in context involving addition and subtraction with answers up to 99.
• Solves number problems involving multiplication with answers up to 50.
• Solves number problems involving equal sharing and grouping up to 50 with answers that may include remainders.
• Solves problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions.
• Recognises and identifies all South African coins and bank notes. Solves money problems involving totals and change in rands or cents.
• Performs addition and subtraction, multiplication, and division calculations using various techniques (building up and breaking down numbers, doubling and halving, number lines, rounding off in tens).
• Uses and names unitary fractions, including halves, quarters, thirds, and fifths. Recognises fractions in diagrammatic form.
• Term 2:
• Counts forwards and backwards in 1s, 2s, 3s, 4s, 5s, 10s, 50s, and 100s to at least 500.
• Groups objects to estimate and count reliably up to at least 500 objects.
• Recognises, identifies, reads, and writes number symbols and names to 1 000.
• Describes, compares, and orders numbers to 500.
• Recognises the place value of numbers to 500.
• Solves word problems in context involving addition and subtraction with answers up to 400.
• Solves number problems involving multiplication with answers up to 75.
• Solves number problems involving equal sharing and grouping up to 75 with answers that may include remainders.
• Solves problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions.
• Recognises and identifies all South African coins and bank notes. Solves money problems involving totals and change in rands or cents. Converts between rands and cents.
• Performs addition and subtraction, multiplication, and division calculations using various techniques (building up and breaking down numbers, doubling and halving, number lines, rounding off in tens).
• Uses and names unitary and non-unitary fractions, including halves, quarters, eighths, thirds, sixths, and fifths. Recognises fractions in diagrammatic form. Begins to recognise that two halves or three thirds make one whole and that one half and two quarters are equivalent.
• Term 3:
• Counts forwards and backwards in 1s, 2s, 3s, 4s, 5s, 10s, 20s, 25s, 50s, and 100s to at least 700.
• Groups objects to estimate and count reliably up to at least 700 objects.
• Recognises, identifies, reads, and writes number symbols and names to 1 000.
• Describes, compares, and orders numbers to 700.
• Recognises the place value of numbers to 700.
• Solves word problems in context involving addition and subtraction with answers up to 800.
• Solves number problems involving multiplication with answers up to 75.
• Solves number problems involving equal sharing and grouping up to 75 with answers that may include remainders.
• Solves problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions.
• Recognises and identifies all South African coins and bank notes. Solves money problems involving totals and change in rands or cents. Converts between rands and cents.
• Performs addition and subtraction, multiplication, and division calculations using various techniques (building up and breaking down numbers, doubling and halving, number lines, rounding off in tens).
• Uses and names unitary and non-unitary fractions, including halves, quarters, eighths, thirds, sixths, and fifths. Recognises fractions in diagrammatic form. Begins to recognise that two halves or three thirds make one whole and that one half and two quarters are equivalent. Writes fractions as 1 half, 2 thirds.
• Term 4:
• Counts forwards and backwards in 1s, 2s, 3s, 4s, 5s, 10s, 20s, 25s, 50s, and 100s to at least 1000.
• Groups objects to estimate and count reliably up to at least 1 000 objects.
• Recognises, identifies, reads, and writes number symbols and names to 1 000.
• Describes, compares, and orders numbers to 999.
• Recognises the place value of numbers to 999.
• Solves word problems in context involving addition and subtraction with answers up to 999.
• Solves number problems involving multiplication with answers up to 100.
• Solves number problems involving equal sharing and grouping up to 100 with answers that may include remainders.
• Solves problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions.
• Recognises and identifies all South African coins and bank notes. Solves money problems involving totals and change in rands or cents. Converts between rands and cents.
• Performs addition, subtraction, multiplication, and division calculations using various techniques.
• Uses and names unitary and non-unitary fractions, including halves, quarters, eighths, thirds, sixths, and fifths. Recognises fractions in diagrammatic form. Begins to recognise that two halves or three thirds make one whole and that one half and two quarters are equivalent. Writes fractions as 1 half, 2 thirds.

Patterns, Functions and Algebra

• Term 1: Copies, extends, and describes simple geometric and number patterns. Creates own patterns. Identifies, describes, and copies geometric patterns in nature, modern everyday life, and cultural heritage.
• Term 2: Copies, extends, and describes simple geometric and number patterns with increasing complexity. Creates and describes own patterns.
• Term 3: Copies, extends, and describes simple geometric and number patterns with increasing complexity, including patterns where the number or size of shapes changes predictably. Creates and describes own patterns.
• Term 4: Identifies, describes, and copies geometric patterns in nature, modern everyday life, and cultural heritage. Creates and describes own patterns.

Space and Shape (Geometry)

• Term 1: Describes the position of one object in relation to another. Follows directions to move around the classroom and school. Recognises and names 3-D objects (ball and box shapes). Recognises and names 2-D shapes (circles, triangles, and squares).
• Term 2: Matches different views of the same everyday object. Names everyday objects from unusual views. Follows and gives directions to move around the classroom and school. Recognises and names 3-D objects (ball shapes, box shapes, cylinders, pyramids). Describes, sorts, and compares 3-D objects. Recognises and names 2-D shapes (circles, triangles, squares, rectangles). Describes, sorts, and compares 2-D shapes. Recognises symmetry in own body and draws lines of symmetry.
• Term 3: Reads, interprets, and draws informal maps or top views of collections of objects. Finds objects on maps. Follows directions from one place to another on an informal map. Recognises and names 3-D objects (ball shapes, box shapes, cylinders, pyramids, cones). Describes, sorts, and compares 3-D objects. Recognises and names 2-D shapes. Draws 2-D shapes. Determines lines of symmetry through paper folding and reflection.
• Term 4: Recognises and names 3-D objects. Describes, sorts, and compares 3-D objects. Recognises and names 2-D shapes. Draws 2-D shapes. Recognises and draws lines of symmetry in 2-D geometrical and non-geometrical shapes.

Measurement

• Term 1: Talks about the passing of time. Tells time on analogue and digital clocks in hours, half hours, quarter hours, and minutes. Calculates length of time and passing of time using calendars and clocks. Estimates, measures, compares, orders, and records length using non-standard and standard measures (metres and centimetres). Estimates, measures, compares, orders, and records mass using non-standard measures and a balancing scale. Estimates, measures, compares, orders, and records capacity using non-standard measures. Investigates perimeter using direct comparison or informal units. Investigates area using tiling.
• Term 2: See Term 1 content.
• Term 3: See Term 1 content.
• Term 4: See Term 1 content.

Data Handling

• Term 1: Collects and organises data about the class or school to answer questions posed by the teacher. Organises data in lists, tallies, and tables. Represents data in pictographs and bar graphs. Analyses and interprets data presented in pictographs and bar graphs.
• Term 2: Analyses data from representations provided.
• Term 3: Collects, organises, represents, and interprets data.
• Term 4: Analyses and interprets data presented in tables and bar graphs.