Grade 11 Topics

Term 1

Week 1-3: Exponents and surds

Week 4-6: Equations and Inequalities

Week 7-8: Number Patterns

Week 9-11 Analytical Geometry

 

Term 2

Week 1-4: Functions

Week 5-8: Trigonometry

 

Term 3

Week 1: Measurement

Week 2-4: Euclidean Geometry

Week 5-6: Trigonometry

Week 7-8: Finance

Week 9-10: Probability

 

Term 4

Week 1-2: Statistics

 
Term 1 Week 1-3: Exponents and surds
 

Simplify expressions and solve equations using the laws of exponents for rational exponents                

- Textbook

- Information

- Worksheet

- Video

- Worksheet

- Fun: (with Geogebra)

- Everything about exponents

- Worksheet

- Fractional Exponents

- Online test

 

Add, subtract, multiply and divide simple surds

- Textbook

- What is a surd?

- Online Practice

- How to add and subtract

- How to multiply and divide

- Video

- More examples

- Online Worksheet

- Download worksheet

 

Solve simple equations involving surds

- Textbook

- Video 

 
Term 1 Week 4-6: Equations and Inequalities

Revision

- Textbook

 

Complete the square

- Textbook

- How to steps

- Video

- Basics

- Examples

- Explanation and examples

 

Quadratic equations (by factorisation and by using the quadratic formula)

- Textbook 1

- Textbook 2

- Textbook 3

- Textbook 4

- By factoring

- By Formula

- More difficult

- Online Test

 

Quadratic inequalities in one unknown (Interpret solutions graphically)

- Textbook

- Examples

- GeoGebra Tube

- Video

 

Equations in two unknowns, one of which is linear and the other quadratic

- Textbook

- Using Algebra

- Using Graphs

- Geogebra Tube

- Video

 

Nature of roots

- Textbook

- What is the discriminant

- Video

- Video: Discriminant and graphs

- Geogebra Tube

- Online test

 

Term 1 Week 7-8: Number Patterns

Quadratic Number Patterns

- Textbook

- Another method

- Activity

- Online Test

 
Term 1 Week 9-11: Analytical Geometry
 

The equation of a line through two given points

- Textbook

- Explanation

- Check answer

- Straight line basics

- Video

 

The equation of a line through one point and parallel or perpendicular to a given line

- Textbook 1

- Textbook 2

- Explanation

- Video

- Examples

- Check answer

- Practice online

- On a Graph

- Worksheets

- Geogebra Tube

 

The inclination of a line, where  is the gradient of the line

- Textbook

- Definition

- Online Exercise

- Geogebra Tube

- Video

Term 2 Week 1-4: Functions
 
Term 2 Week 5-8: Trigonometry
 

Trigonometric Identities

- Textbook

- Video

- Maths is fun (ignore those not in CAPS)

 

Reduction formula

- Textbook

- Summary and exercise

- Key concepts, pdf

- Summary

 

Trigonometric equations

- Textbook

- How the quadrants work

- Interactive

 

Term 3 Week 1: Measurement
 
Term 3 Week 2-4: Euclidean Geometry
 
Term 3 Week 5-6: Trigonometry
 
Term 3 Week 7-8: Finance
 

Simple and compound decay formulae: A = P(1 - in) and A =  P(1 - i)^n

(including straight line depreciation and depreciation on a reducing balance)

- Textbook

- Lesson in pdf

- Using the formula

- Graphical difference between simple and compound

 

Effect of different periods of compound growth and decay

(including nominal and effective interest rates)

- Textbook 1

- Textbook 2

- Definitions, Meaning, and Example Calculations

- Real live meaning of nominal rates

 

Term 3 Week 9-10: Probability
 

Revise the addition rule for mutually exclusive events: 𝑃(𝐴 𝑜𝑟  𝐵)=𝑃𝐴 +𝑃(𝐵)  and P(A) = 1 – P(A')

 

Dependant and Independent events

- Textbook

- Video

- Maths is fun

- Rules

 

Venn diagrams

- Textbook

- Explanation

- Examples

- Online exercise

- Examples with probabilities

- Venn diagram sand logic

 

Tree diagrams

- Textbook

- Expanation

- Online worksheet

- Worksheet, pdf

- Stick or switch

- Edexcel questions

 

Contingincy Tables

- Textbook

- Online test on probability

- What is it

- Wikipedia

- Examples

- Worksheet

- With independent rules

Term 4 Week 1-2: Statistics
 

Histograms

- Textbook

- Definition

- Video 1

- Video 2

- Description and Tutorial

- Explanation

- Worksheet download

 

Frequency polygon and Ogives (cumulative frequency curves)

- Textbook

- Definition

- Example

- Video

- Box-plot from Ogive

- Find the median from

- Geogebra Tube

 

Variance and standard deviation of ungrouped data

- Textbook

- Properties and Examples

- Slide share

- Interpretation

- Conceptual Difference Between Standard Deviation & Variance

 

Symmetric and skewed data

- Textbook

- Sketches

- How to identify

- Histogram Interpretation

 

Identification of outliers

- Textbook

- Online test on statistics

- Explanation

- Video

- Video scatter plot

 

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