Grade 10 Topics

Term 1 Week 1-3: Algebraic expressions

Real number system

- Textbook 1 & Textbook 2

- Information

- Online Worksheet

- Video

- Worksheet

 

Rounding off real numbers

- Textbook

- Information

- Worksheet

 

Establish between which two integers a given simple surd lies

- Textbook

 

Multiplying a binomial by a trinomial (products)

- Textbook

- Example

- Video

 

Manipulate algebraic expressions by factorising

- Textbook

  • Factorising by grouping in pairs

Example 1 

- Example 2

  • Factorising trinomials 

Example 1 

- Example 2

- Example 3

- Video (Interesting method)

  • Factorising the difference and sums of two cubes

- Information

 

Simplifying, adding and subtracting algebraic fractions

- Textbook

Example 1

- Example 2

- Example 3

- Worksheet

- Video Simplifying

- Video adding (Adding and subtracting rational numbers)

- Worsheet

- Multiple choice worksheet with answers on a few of the above topics

- Practice this

 

 
 

Term 1

Week 1-3: Algebraic expressions

Week 4-5: Exponents

Week 6: Number Patterns

Week 7-8: Equations ans Inequalities

Week 9-11: Trigonometry

 

Term 2

Week 1-5: Functions

Week 6-8: Euclidean Geometry

 

Term 3

Week 1-2: Analytical Geometry

Week 3-4: Finance and Growth

Week 5-6: Statistics

Week 7-8: Trigonometry

Week 9-10: Euclidean Geometry and Measurement

 

Term 4

Week 1-2: Probability

 
 
Term 1 Week 4-5: Exponents
 

Exponents

- Textbook

 

Laws of exponents 

- Laws example 1

- Laws example 2

- Examples and practice

 

Simplify expressions using the laws of exponents for rational exponents

- Textbook

- Information

- Worksheet 1

- Video

- Worksheet 2

- Fun: (with Geogebra)

- Everything about exponents

- Worksheet 3

 

Exponential equations

- Textbook

- Examples

- Exercise this

 

Term 1 Week 6: Number Patterns
 
Term 1 Week 7-8: Equations ans Inequalities
 

Linear equations

- Textbook

- Methods

- Video

 

Quadratic equations

- Textbook

- How to and Examples

- Information

- Worksheet

- Video

 

System of linear equations

- Textbook

- By substituting

- Worksheet 1

- By elimination

- Worksheet 2

 

Literal equations

- Textbook

- Example 1

- Example 2

 

Linear inequalities

- Textbook

- Information

- Worksheet

 

Word problems

- Textbook

- Information

- Examples

- Worksheet

- Exercise this

 

 
Term 1 Week 9-11: Trigonometry

Define the trigonometric ratios sin θ, cos θ and tan θ, using right-angled triangles

- Textbook

- Explanation

- Investigate

 

Definitions of  sin θ, cos θ and tan θ (between 0 and 360 degrees)                        

- Textbook

- Explanation

- Video

- Investigate

 

Define the reciprocals of the trigonometric ratios: cosec θ, sec θ and cot θ

- Textbook

 

Derive values of the trigonometric ratios for the special cases (without using a calculator)

- Textbook

- Information

- Examples (pdf)

 

Special angles 

- Online Worksheet

 

Solving trigonometry equations

- Textbook

 

Term 2 Week 1-5: Functions
 

The concept of a function, where a certain quantity (output value) uniquely depends on another quantity (input value). Work with relationships between variables using tables, graphs, words and formulae. Convert flexibly between these representations.

 

Functions

- Textbook

- What is a function

- Concept of a function

 

Linear functions

- Textbook

- Geogebra Tube

- Draw a linear function: Use 2 points

- Draw a linear function: Use slope and y-intercept

- Video: draw with intercepts

 

Quadratic functions

- Textbook

- Draw a quadratic function by finding the turning point

- Video of graphing

- Geogebra Tube: The influence of p and q

- Find the equation example 1

- Find the equation example 2

 

Hyperbolic functions

- Textbook

- Some properties

- The influence of the parameters example 1

- The influence of the parameters example 2

 

Exponential functions

- Textbook

- Video to graph

- Geogebra Tube Change the asymptote

- Geogebra Tube changing parameters

- Video Find the equation

- Given graph, choose equation

 

Trigonometric functions

- Textbook

- Basic graphs

- Online worksheets example 1

- Online worksheets example 2

- Online worksheets example 3

- Online worksheets example 4

 

Interpretation of graphs

- Textbook

 

 

 
Term 2 Week 6-8: Euclidean Geometry
 
 
 
 

Revision

- Textbook 1

- Textbook 2

- Triangles

- Similar triangles example 1

- Similar triangles example 2

- Congruent triangles

- Video: Congruent Triangles

 

Line segments joining the mid-points of two sides of a triangle

- Textbook

- Proof

 

Quadrilaterals: kite, parallelogram, rectangle, rhombus, square and trapezium

- Textbook 1

- Textbook 2

- Quadrilaterals

- Properties kite

- Properties parallelogram

- Properties rectangle

- Properties rhombus

- Properties square

- Properties trapezium

- Video                                                                                                                       

 

Term 3 Week 1-2: Analytical Geometry
 

Basics

- Textbook

 

Distance

- Textbook

 

Gradient

- Textbook

 

Midpoint

- Textbook

- Co-ordinates

- Distance

- Gradient as slope

- Video Midpoint

- Pythagoras and Distance, GeoGebra Tube

- Gradient Geogebra Tube

- Worksheet: midpoint

                                                                                                                 

 

 
Term 3 Week 3-4: Finance and Growth

Simple and compound growth formulae 

- Textbook

 

Simple Interest

- Textbook

- Video

- What is interest

 

Compound Interest

- Textbook

- What is compound interest

- Interactive worksheet                                                                                                             

 

Term 3 Week 5-6: Statistics
 

Revision: measures of central tendency in ungrouped data

- Textbook

 

Measures of central tendency in grouped data: calculation of mean estimate of grouped and ungrouped data and identification of modal interval and interval in which the median lies

- Textbook 1

- Textbook 1

- Information

- When to use

- Interactive worksheet

- Calculate the mean

- Calculate the median

- Calculate the mode

- Exercises

- Video

 

Revision: range as a measure of dispersion and extension to include percentiles, quartiles, interquartile and semi interquartile range

- Textbook

- Easy way

- Information

 

Five number summary (maximum, minimum and quartiles) and box and whisker diagram

- Information 5 number summary

- Information box and whisker diagram

 

Applications: use the statistical summaries (measures of central tendency and dispersion), and graphs to analyse and make meaningful comments on the context associated with the given data.

- Textbook

- Exercises

 
Term 3 Week 7-8: Trigonometry

Solve trig problems in two dimensions (functions)

- Textbook

- Find a side

- Find an angle

- Formulas

- Video

 
Term 3 Week 9-10: Euclidean Geometry and Measurement

Solve geometry problems and prove riders 

- Textbook

- Parallel lines

- All about Triangles

- Interactive Quadrilaterals

 

Measurement

- Textbook

- Area of plane shapes

 

Revision: volume and surface areas of right-prisms and cylinders

- Textbook

- Right prisms

- All prisms

- Volume cylinder puzzle

 

The effect on volume and surface area when multiplying any dimension by a constant factor k

- Textbook

 

Volume and surface areas of spheres, right pyramids and right cones

- Textbook

- Video

- Formula

- Interactive

Term 4 Week 1-2: Probability
 

Probability models 

- Textbook

- Basics

- Basic Concepts

- Tutorial

 

Venn diagrams

- Textbook 1

- Textbook 2

- Textbook 3

- Definition of a union

- Definition of a intersection

- Basics

 

Mutually exclusive

- Textbook

- Example 1

- Example 2

 

Complementary  

- Textbook

- Examples

- Exercises online

- Video

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