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

 

Properties of numbers (4,5 hours)

- Wikipedia 1

- Classify numbers

- Wikipedia 2

- Rounding Numbers

- Properties of whole Numbers

- Estimate Answers, multiple choice worksheet

- Long Multiplication

- Long Division

- Find the LCM

- Find the HCF

- What are Rational and Irrational Numbers

- Ratio Problems with answers

- Speed, Distance, Time

- Direct and Indirect Proportion

- Finance and Interest 1

- Finance and Interest 2

- Video about Interest

 

Integers (4,5 hours)

- Operations with integers

- Geogebra Tube: Adding Integers

- Geogebra Tube: Subtracting Integers

- Geogebra Tube: Multiplying Integers

- Example 1 of Squares of Integers

- Example 2 of Squares of Integers

- What is a Cubed number

- Square Roots

- Cube Roots of Integers

- Properties of Integers

- Additive and multiplication Inverses Example 1

- Additive and multiplication Inverses Example 2

- Online Worksheet with Word Problems

- Multiple choice

- 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

- Add Equivalent Fractions

- Divide Fractions

- Printable Worksheets on Fractions

- Common Fraction to Decimal Fraction

- Fractions, Decimals and Percentages

 

Decimal Fractions (4,5 hours)

- Multiplying Decimals

- Video: Square Root of a Decimal

- Problem Solving with Decimals

 

Exponents  (5 hours)

- Laws of Exponents

- Scientific Notation

- Online Test with Exponents

- Download PDF with exercise and answers on Exponents

 

Numeric and Geometric Patterns   (4,5 hours)

- What is a Number Pattern?

- Images that can be used for numbe patterns

- Common Number Patterns

- Examples

- Slideshow

- Video

- Geogebratube, Fun with Number Patterns

- Finding a Rule

- Number Patterns and Rules

- Story of the rice

- Arithmetic Series

- Geometric  Progressoin

- Pascal's Triangle

 

Functions and Relationships   (4 hours)

- Example with Flow Diagram

- Output values using Tables

- Video showing how to Evalaute  a Function using a formula

- The Cartesian Plane

- Video on Graphing Points

- Functions from verbal statements

- Graphing of Functions

- Domain and Range

 

Algebraic Expressions   (4 hours)

- Monomials, Binomials, Trinomials

- Terminology explained

- Adding Polynomials

- Multiply Polynomials

- Video

- Divide Polynomial by Monomial explained

- Online Practice

- Worksheet with answers to simplify expressions

- Video: Squares and Roots of Algebraic expressions

- Multiplying Binomials

- The Square of a Binomial

- 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

- Word Problems explained

- Online Worksheet for Word problems

- Downloadable Worksheet for Word problems

- Substitution

 

Term 1: 45 hours

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

- Rectangles

- Squares

- Parallelograms

- Rhombus

- Kites

- GeogebraTube, Sum of Angles of Polygon

 

Geometry of 2D shapes (9 hours)

- Similar Triangles

- Equilateral Triangles

- GeogebraTube, Equilateral Triangles

- Isosceles Triangles

- Right Angled Triangles

- GeogebraTube, Exterioir Angle of Triangle

- Congruent Polygons

 

Geometry of Straight Lines: (9 hours)

- Definition of a Line

- Perpendicular Lines

- Parallel Lines

- Corresponding Angles

- Alternate Angles

- Co-interior Angles

 

The Theorem of Pythagoras (5 hours)

- Good Explanation

- Theorem of Pythagoras

- Video

 

Area and Perimeter of 2D shapes (5 hours)

- Square: Example 1

- Square: Example 1

- Rectangle

- Rhombus: Example 1

- Rhombus: Example 2

- Kite: Example 1

- Kite: Example 2

- Parallelogram: Example 1

- Parallelogram: Example 2

- Trapezium: Example 1

- Trapezium: Example 2

- Triangle: Example 1

- Triangle: Example 2

- Diameter of a Circle

- Circumference of a Circle

- Area of a Circle

 

Functions and relationships  (5 hours)

- Introduction to Functions

- Lesson in slides on domain and range

- Quiz on domain and range

- Equation of a straight line

- Different forms of a Function

 

Algebric Expressions (9 hours)

- Worksheet: Expanding Brackets

- Online Worskeet

- Multiplication

- Division

- Factorising explained with videos

- Online Examples

- Common Factors and Difference of Squares

- Algebraic Fractions explained

- Downloadable PDF

- Common Fractions

 

Algebraic Equations ( 9 hours)

- Solving Equations

- With Fractions

- With Factoring

- Video with Factoring

- Verbal Equations

 

Surface area and volume of 3D objects (5 hours)

- Cube: Example 1

- Cube: Example 2

- Rectangular Prism

- Video Volume

- Triangular Prism: Example 1

- Triangular Prism: Example 2

- Cylinder: Example 1

- Cylinder: Example 2

- Increase the dimensions by scale factor

 

Term 3: 45 hours

Transformation geometry  (9 hours)

- Reflection of a Point

- Reflect over the line

- Translation

- Enlargement by a scale factor: Example 1

- Enlargement by a scale factor: Example 2

 

Geometry of 3D objects (9 hours)

- Spheres

- Cylinder: Example 1

- Cylinder: Example 2

- Platonic Solids

- Why 5?

- Construct Solids from Nets

 

Collect, organize and summarise data ( 4 hours)

- Wikipedia

- Sources for Data Collection

- Methods to Collect Data

- Video on Measures of Central Tendency

- Video on Measures of dispersion

 

Represent data ( 3 hours)

- Bar graph

- Histograms

- Pie Charts

- Line Graphs

- Scatter Plots

- Slide show on Data representing

 

Interpret, analyse and report data ( 3,5 hours)

- Compare two pie charts

- Video, Compare two sets of data in bar graphs

- Misuse of Statistics

- Investigation: Analyze Data and Draw Conclusions

- Outliets

- Choose the best chart for your data

 

Probability (4,5 hours)

- Tree Diagrams: Example 1

- Tree Diagrams: Example 2

- Online Questions with Tree Diagrams

- Slides explaining Two-way Tables

- Examples of Two-way Tables

- Relative Frequency explained

- Example of Relative Frequency

- Relative Frequency versus probability

 

Term 4: 45 hours