grade 11 full curriculum

education & technology

1

numbers

Know the difference between a rational and an irrational number. Also understand how to change an irrational denominator into a rational denominator.

Grade 11 Numbers explained Feb 2021

Explaining the importance of rational and irrational numbers and where you will be using it in grade 11. 

2

Analytical geometry

To be able to do analytical geometry one must know the properties of quadrilaterals, know congruency and all the formulas that fall under analytical geometry.

Inclination angle understanding the basics

The inclination angles is the angle between the x- axis and the straight line. 

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3

April exams

For the April exams, it is necessary to know how to solve equations and know circle geometry.

April cycle test preparation algebra April 2021

I revise fractions, exponents and equations. 

April cycle test preparation gr 11 circles

Revision of circle theorems. 

4

circles

In grade 11 there are 9 circle theorems that you need to understand and know how to apply them.

Prove tangents and cyclic quads

There are two types of tangents, know the difference between the two. 

Circle revision of all theorems June 2016

Revising circles from June 2016 paper 2. 

Grade 11 Circles November 2016

In this recording, I explain the theorem which states that the angle at the centre of the circle is equal to two times the angle on the circumference. This theorem can easily be confused with angles in the same circle segment, so know what to watch out for !!!!. 

Circles theorem 1 and 2 Via Afrika

More difficult circle theorems. I take you step by step through the steps to solve a circle question.

Circles theorem 2 Via Afrika

Theorem 2 – angle centre circle is equal to twice the angle at the circumference. 

Circles from examination aid grade 11 based theorem 1, 2 and 3

Theorem 1, 2 and 3 which is based on the line passing through the midpoint of the circle and cutting the chord into two equal parts. 

Circles-exterior angle of a cyclic quadrilateral

Here we look at the theorem which states the the opposite angles of a cyclic quadrilateral adds up to 180 degrees and the exterior angle which is equal to the opposite interior angle. 

Circles tangents

A tangent is a straight line touching a circle. It is important to understand the angle between the tangent and chord and to know which angle it will be equal to.

Circles Tan chord theorem

Exercises applying the angle between the tangent and chord theorem. 

Grade 11 November revision Circle from November 2015

REMOVE THIS BLOCK

November circles and tangents vid 3 nov 2017 paper

Here is an exercise where you have to use the theorem where you have two tangents from the same exterior point. 

Similarity and tangents

Similarity combined with quadrilaterals. 

5

Data

In grade 11 statistics or data handling is mostly done on the calculator using the STAT function.. Also know how to work out the variance and the standard deviation.

Data handling frequency on and off October 2020

Make sure your frequency is on, so that you can enter the frequency values and determine the mean or the standard deviation. 

Standard deviation EC November 2013 Paper 2

Two way tables are used to prove whether events are independent or not independent of each other.

Box and whisker diagram Gr 11 Gauteng Nov 2016 Paper 2

In this recording we  calculate the values to draw a box and whisker diagram of some ungrouped values.. 

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6

Equations

Linear and especially quadratic and exponential equations , plays a big role in grade 11 as there are many types of equations.

Surds explained grade 11

To write numbers in its simplest surd forms, you need to write numbers in terms of its prime factors. Also know. how to rationalise a denominator 

Completing the square and parabolas

Completing the square is when you manipulate an equation to form a square by adding the half of the coefficient and squaring it. 

Quadratic equations via Afrika 1 March 2021

Know the steps when you have to solve for x with fractions. Important to first factorise the denominator.

Equations with surd from prac maths grade 11

When an equation has a square root in it, then you must get the square root alone, then square it and lastly test your answer. 

Completing the square March 2021 REDO

CHECK IF THERE IS SOMETHING WRONG WITH RECORDING. 

Quadratic formula grade 11 3 March 2021

Nature of the roots and the quadratic equation all in one question. 

Simultaneous equations 17 March 2021 grade 11

Simultaneous equations in grade 11 consists of a linear equation that has to be substituted into a quadratic equation. 

Equations and exponents

Factorise trinomials with exponents.  Treat it like a normal trinomial, but now your exponents are divided in half.. 

Equations from 2017 grade 11 29 March 2021

Various equations from past papers. 

Quadratic equations with fractions Clever text CUT

CHECK WHERE MUST I EDIT. 

7

Exponents

Exponents play a big role in mathematics. They are easy when you understand the different types of exponential questions.

Grade 11 Exponents

Basic exponents where you have to make the exponents positive by taking them up or down.  The sign of the exponent changes when the number is taken to the numerator or the denominator is brought up to the position of the numerator. 

Exponents type 1 and 2 10 February 2021 grade 11

Type two exponents you recognise when there is a plus or minus in between the bases. You then look for a common exponent which you take out.

Exponents type 1, 2 and 3 from Answer Series

Revision of 3 types of exponents. 

Type 2 exponents

Revising exponents where you multiply the exponent outside a bracket into the exponents inside the bracket. 

Exponents from Via Afrika type 1, 2 and 3

Type 1 exponents are when you multiply the same bases, then you add the exponents. Type three is when we work with exponential equations.

Exponents type 3 equations

A lovely question where you have to solve two simultaneous equations, but they are both exponential equations. 

Exponential equations 15 February 2021 Grade 11

Exponential equations which are trinomials you have to factorise first. 

8

Financial maths

Financial mathematics gets more interesting as we look how to pay off a loan and work out outstanding values of loans.

Eastern Cape Nov 2019 financial revision 23 Aug 2020

Here we look at a timeline where money is being deposited and withdrawn. We also look at interest rates that change. 

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9

Functions

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Hyperbola Nov 2018 grade 11

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Parabola Clever textbook Ex5.5

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Parabola Clever Textbook Ex 5 21

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Parabola June past paper

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Parabolas Classroom Maths Ex8 7

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Hyperbola and exponential November 2015

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Hyperbola Clever Textbook Exercise 5 21

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Exponential graphs Clever Textbook grade 11

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Exponential graphs explaining the basics

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Gauteng Nov 2014 paper 1 Functions 30 Sept 2020

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Functions interpretation

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Graph interpretation from 2013 Exemplar

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Determining the equation of functions

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Interpreting hyperbolas, parabolas and exponential graphs

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November 2015 Functions revision

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Hyperbola understanding asymptotes

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Hyperbola and parabola

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Straight line and Exponential Clever textbook

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10

June Paper 1

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Revision of equations November 2015

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11

june paper 2

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Trigonometric revision June paper 2

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Circles, tangents and similarity June 2017

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Lesson 17 Nov 2020 November 2017 paper analytical, sine cosrule

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12

Nature of Roots

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Nature of the roots 8 March 2021 grade 11

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13

November Paper 1

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Department of Basic Education November 2018 roots and exponents and number patterns

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Eastern Cape Nov2019 Functions Q5 and 6

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Eastern Cape November 2019 question 1 to 4

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Eastern Cape November 2019 Question 5 and 6

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November 2017 algebra and exponents

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14

November Paper 2

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Gauteng November 2016 Trigonometry

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Circle geometry November 2016 question 9 to 12

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Financial maths and probability revision

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15

Number patterns

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Quadratic pattern Gauteng Nov 2017

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Quadratic patterns explained

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Quadratic number patterns

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Revision of quadratic number patterns Nov 2017

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Revision of number patterns DBE November 2014 and 2015

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Revision of quadratic number patterns Nov 2017

GRADE 11 NUMBER PATTERN NOT GRADE 10. 

16

Probability

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Probability from grade 12 paper November 2018

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17

Trigonometry

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Identities explaining basics

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Identities from Via Afrika textbook

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Identities

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Explaining negative angles

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Trigonometry Ratios and Co ratios

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Finding the correct quadrant basics explained

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Reduction angles explained

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Trigonometry finding the quadrants

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Special angles

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Trig equations explained using graphs

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Trig equations gr 11

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Trig and trig graphs Nov 2011 Gr 11

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Trigonometry functions November 2017

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Market Research Data Miner

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Cloud Computing Engineering

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18

volume & surface bar

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Squares and cubic roots, expressions and fractions

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Geometry - working out angles of shapes

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Cloud Computing Engineering

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19

conversion

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SustainabLE
Engeneering

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Market Research Data Miner

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Cloud Computing Engineering

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20

graphs

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Integers and financial maths

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Market Research Data Miner

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Cloud Computing Engineering

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21

statistics (data)

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Squares and cubic roots, expressions and fractions

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Geometry - working out angles of shapes

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Cloud Computing Engineering

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22

probability

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SustainabLE
Engeneering

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Market Research Data Miner

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Cloud Computing Engineering

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23

april revision

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Integers and financial revision

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Market Research Data Miner

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Cloud Computing Engineering

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24

june revision

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Squares & cubic roots, expressions
 and fractions

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Geometry - angles of
a triangle

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Cloud Computing Engineering

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25

november revision

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SustainabLE
Engeneering

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Market Research Data Miner

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Cloud Computing Engineering

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