Grade 9 Topics
Term 1 (45 hours)
Whole numbers 4,5 hours
Integers 4,5 hours
Common fractions 4,5 hours
Decimal fractions 4,5 hours
Exponents 5 hours
Numeric and geometric patterns 4,5 hours
Functions and relationships 4 hours
Algebraic expressions 4,5 houra
Algebraic equations 5 hours
Revision/Assessment 5 hours
Term 2 (45 hours)
Construction of geometric figures 9 hours
Geometry of 2D shapes 9 hours
Geometry of straight-lines 9 hours
Theorem of Pythagoras 5 hours
Area and Perimeter of 2D shapes 5 hours
Revision/Assessment 5 hours
Term 3 (45 hours)
Functions and relationships 5 hours
Algebraic expressions 9 hours
Algebraic equations 9 hours
Graphs 12 hours
Surface Area and volume of 3D objects 5 hours
Revision/Assessment 12 hours
Term 4 (45 hours)
Transformation geomatry 9 hours
Geometry of 3D objects 9 hours
Collect, organize and summarize data 4 hours
Represent data 3 hours
Interpret, analyse and report data 3,5 hours
Probability 4,5 hours
Revision/Assessment 12 hours
Term 1: 45 hours
Properties of numbers (4,5 hours)
- Wikipedia 1
- Estimate Answers, multiple choice worksheet
- What are Rational and Irrational Numbers
- Direct and Indirect Proportion
Integers (4,5 hours)
- Geogebra Tube: Adding Integers
- Geogebra Tube: Subtracting Integers
- Geogebra Tube: Multiplying Integers
- Example 1 of Squares of Integers
- Example 2 of Squares of Integers
- Additive and multiplication Inverses Example 1
- Additive and multiplication Inverses Example 2
- Online Worksheet with Word Problems
- Complexity 1 and 2 questions
- Video: Solve integer problem algebraically
Common Fractions (4,5 hours)
- Convert mixed numbers to fractions
- Video Convert mixed numbers to improper fractions
- Video: Add Equivalent Fractions
- Printable Worksheets on Fractions
- Common Fraction to Decimal Fraction
- Fractions, Decimals and Percentages
Decimal Fractions (4,5 hours)
- Video: Square Root of a Decimal
- Problem Solving with Decimals
Exponents (5 hours)
- Download PDF with exercise and answers on Exponents
Numeric and Geometric Patterns (4,5 hours)
- Images that can be used for numbe patterns
- Examples
- Video
- Geogebratube, Fun with Number Patterns
Functions and Relationships (4 hours)
- Video showing how to Evalaute a Function using a formula
- Functions from verbal statements
Algebraic Expressions (4 hours)
- Monomials, Binomials, Trinomials
- Video
- Divide Polynomial by Monomial explained
- Worksheet with answers to simplify expressions
- Video: Squares and Roots of Algebraic expressions
- Factorise: The common factor
- Lesson for Factorising a difference of two squares
- Factorising trinomials in the form
- Rules for Factorising trinomials in the form
- Simplify using Factorisation
Algebraic Equations (4 hours)
- Online Worksheet for Linear Equations
- Worksheet on Linear equations with Fractions
- Worksheet to create an equation from words
- Solving Quadratic equations explained
- Solving Quadratic equations examples
- Online Worksheet for Word problems
- Downloadable Worksheet for Word problems
Term 2: 45 hours
Constructions (9 hours)
- Bisect an Angle, demonstration
- Angle, demonstration: Example 1
- Angle, demonstration: Example 2
- Angle, demonstration: Example 3
- GeogebraTube, Interior angles of Triangle
- GeogebraTube, Exterior angle of Triangle
- GeogebraTube, Building Congruent Triangles
- Congruent Triangles, why AAA does not work
- Reflecting Congruent Triangles
- Investigate Congruent Triangles
- Polygons
- Squares
- Rhombus
- Kites
- GeogebraTube, Sum of Angles of Polygon
Geometry of 2D shapes (9 hours)
- GeogebraTube, Equilateral Triangles
- GeogebraTube, Exterioir Angle of Triangle
Geometry of Straight Lines: (9 hours)
The Theorem of Pythagoras (5 hours)
- Video
Area and Perimeter of 2D shapes (5 hours)
Term 3: 45 hours
Functions and relationships (5 hours)
- Lesson in slides on domain and range
- Different forms of a Function
Algebric Expressions (9 hours)
- Worksheet: Expanding Brackets
- Division
- Factorising explained with videos
- Common Factors and Difference of Squares
- Algebraic Fractions explained
Algebraic Equations ( 9 hours)
Surface area and volume of 3D objects (5 hours)
- Increase the dimensions by scale factor
Term 4: 45 hours
Transformation geometry (9 hours)
- Enlargement by a scale factor: Example 1
- Enlargement by a scale factor: Example 2
Geometry of 3D objects (9 hours)
- Spheres
- Why 5?
Collect, organize and summarise data ( 4 hours)
- Video on Measures of Central Tendency
- Video on Measures of dispersion
Represent data ( 3 hours)
- Slide show on Data representing
Interpret, analyse and report data ( 3,5 hours)
- Video, Compare two sets of data in bar graphs
- Investigation: Analyze Data and Draw Conclusions
- Outliets
- Choose the best chart for your data
Probability (4,5 hours)
- Online Questions with Tree Diagrams
- Slides explaining Two-way Tables
- Relative Frequency explained
- Example of Relative Frequency
- Relative Frequency versus probability