Grade 10 – Maths Homework Help

grade 10 full curriculum

Recordings of all the Grade 10 maths topics for the year.

1 numbers

Numbers consists of natural numbers, whole numbers, integers, rational and irrational numbers, non-real and undefined. It is important to understand each type and how to categorise numbers.

M1 and M2 Real numbers and recurring decimals

Know how to order decimals and how to work with rational and irrational numbers.

M1 Rational and irrational numbers and recurring decimals

How to prove recurring decimals.

Numbers Irrational and rational numbers explained

Know where does rational and irrational numbers fit on a number line

Numbers

Difference between rational and irrational numbers explained.

Recurring decimals

Examples of recurring decimals and how to prove the different types.

2 Algebraic expressions

An algebraic expression is a combination of numbers and variables. Expressions can be multiplied, divided, subtracted or added. It does not have an equal sign.

Algebraic expressions Answer series

Here we look at how to make use of the distributive law, always starting with the sign, then the whole number and lastly the variable when you distribute into a bracket.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

3 factorise

Factorising is the opposite of simplifying. With factorising we insert brackets into expressions using specific methods. When you distribute in again, you get back to the original sum.

Difference between 2 squares

Difference between squares is where you put a minus in the one bracket and a plus in the other bracket and divide the exponents by two.

Factorise trinomials

A trinomial is recognised by three terms. The three terms are broken up and brackets inserted.

Basic Trinomials

If you struggle to factorise a trinomial, then view this recording where I explain how to factorise a trinomial step by step.

Sum and difference of two cubes

The sum and difference of two cubes is a new factorising type that is added in grade 10. Here you divide the exponents by 3 and need to know your cubic roots.

Simplifying fractions by factorising

When you add or subtract fractions you first factorise the denominator and then get the lowest common denominator . When you multiply , you divide or cancel out brackets that are the same.

Factorise with fractions

With fractions you get the lowest common denominator when you add or subtract and cancel out brackets when you multiply or divide fractions.

4 equations

We will be looking at many types of equations: linear, quadratic, literal equations, exponential and simultaneous equations.

Fractions and finding LCD with variables

With fractions and variables you must remember to get the restrictions.

Simultaneous equations from Die Oplossing textbook

Simultaneous equations in grade 10 are difficult as we work with either elimination or substitution. Know when is the best to use which type.

Linear equations with fractions and literal equations

Linear equations are equations with only one answer or value for x..

Linear and quadratic equations from examination booklet

Quadratic equations have two answers or two x values as answers..

Equations and factorising

With quadratic equations you set the equation equal to zero, then factorise and lastly set each bracket equal to zero.

Equations revision

Different types of equations are revised. Complicated trinomials are explained in detail.

Revision of equations

Working from various textbooks to revise all types of grade 10 equations.

Inequalities and equations with fractions

RECORDING MUST FALL UNDER NR 6 EQUATIONS.

Types of equations and factorising

In this recording I do revision of the types of equations and explain some factorising.

Quadratic equations explained

Quadratic equations always have two answers. They form parabolas when you draw them. To solve you set them equal to zero, factorise and then solve for the x values.

Quadratic equations with fractions

The most important aspect of equations with fractions, is that the denominators have restrictions. Here we look at how to work with restrictions and how to het the lowest common denominator when you work with variables.

Simultaneous equations from Platinum textbook

Simultaneous equations consists of two types – either you work with elimination or you work with substitution.

Literal and linear equations cut end

A literal equation consists of letters of the alphabet which you need to get alone and solve them.

Revision of equations from Die Oplossing

Various equations from a textbook called: “Die Oplossing” written by Petro van der Merwe.

5 number patterns

When certain numbers follow each other and they form a constant difference or they have a constant ratio, we can form or derive a formula according to the pattern they follow..

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

6 exponents

I explain exponents by breaking it up into three types. Type one is where the bases are multiplied, type two is where there is a plus or minus between the bases and type three is when we have an equation.

M14 1 and M14 2 Exponents type 1 and 2

Type 1 exponents you recognise by bases that are multiplied and type 2 you recognise by a plus or minus sign between the bases.

M14 1 Basic exponents Mind Action Series

In this recording I explain the basic steps of how to work with exponents.

M14 1 Type 1 exponents

Type 1 is the first of three types of exponents.

M14 3 Exponential equations

Type 3 equations when we have exponents. Take the variables to one side and solve the equation.

More exponential equations Mind Action Series

More revision of exponents

Revision of exponents from Mind Action Series

Listen and work through this recording if you want to work through more difficult sums

7 functions

A function or a graph is like a graphical representation of number patterns. A linear pattern is like a straight line function or graph and a quadratic pattern forms a parabola graph. In grade 10 we will be studying straight line graphs, parabolas, hyperbolas and exponential graphs. Trigonometric graphs fall under trigonometry.

Finding the equation of a function Classroom Maths gr 10

Know how to find the equation of a graph by investigating what information is given on the graph..

Functions and transformation

Transformation in graphs consists of reflection and translation.

Functions straight lines

The first type of function that we discuss in grade 10 is a straight line.

Interpreting straight lines from Mind Action Series

Interpreting straight lines is when we compare straight lines with each other or see how they interact with other graphs.

Parabolas from Mind Action Series

Some difficult parabola questions explained.

Straight lines and parabolas

Questions involving straight lines and parabolas. Know when is a straight line ” greater or smaller” than a parabola.

Exponential and parabola functions from Eastern Cape 2019

Understand asymptotes. Questions from pupils discussed in this recording.

Parabolas, function notation, factorise, equations

Understand function notation and some paper 1 revision questions.

8 scientific notation

Scientific notation is a way of writing big numbers or very small numbers in a specific manner.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

9 trigonometry

In grade 10 you start learning about trigonometry - studying the relationship between the angles and sides of triangles. Dont fall behind with your understanding of trigonometry - then it will be easy!

Basic trigonometric ratios explained

The basic sine, cos and tan ratios explained in an easy way to remember the differences.

Trigonometry finding lengths of triangles

To find the lengths of a triangle we make use of the second function keys on the calculator.

Trigonometry ratios from classroom maths

Here I show you how to remember the three basic trigonometry ratios.

Trigonometric equations

When you have a sine, cos or tan equation, you work with the shift function, to find the x value.

Solving triangles

Depending on the question, we either just type in a value to find the answer or you work with the shift function, to find the value of the variable..

Trigonometry reciprocals of ratios

Know how to work out the inverse of the three trig ratios, like the inverse of a sine becomes cosec.

Trigonometry from past tests

Nice revision questions.

10 trigonometric functions

Trig functions or graphs are waves. The sine and cos graphs have a maximum at 1 and a minimum at -1. The tan graph forms a S shape and the graph moves between 180 degrees with no maximum or minimum value.

Tan and sin graphs

In this recording I explain step by step how to work out and draw the tan and sin graph.

Trig functions investigation

Analyzing how to draw the trig graphs.

The effect of a on trigonometric graphs

Looking at the effect of the value of a (the amplitude or width of the wave).

11 Euclidean geometry

Euclidean geometry is the analysis of shapes which consists of four lines, like the properties of a square, rectangle, rhombus, parallelogram, trapezium and a kite.

Proving a parallelogram

Know and understand the four possible ways of proving a shape is a parallelogram.

How to remember properties of quadrilaterals

I tell stories in order to remember the different properties in an easy manner.

Perpendicular lines, isosceles and equilateral triangles

Grade 9 geometry of straight lines forms the basis of geometry up to grade 12. Know your types of triangles from grade 9.

Revision of grade 8 angles

Revising types of angles from grade 8. Explaining parallel lines and FUN angles.

Exercises with a parallelogram, rectangle and rhombus

Revision of quadrilaterals.

Proving a rhombus

Know the properties of a rhombus and the difference between a rhombus, square and parallelogram.

Midpoint theorem investigation

Doing construction and proving the midpoint theorem.

Midpoint theorem and applying it

How to know when to use the midpoint theorem and how it works.

November revision of data handling and midpoint theorem

Revision from Eastern Cape November 2020 paper.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

12 Construction

Construction consists of the construction of different types of angles, using a ruler, pencil and protractor.

Constructing 30, 60, 45 and 90 degree angles April 2021

Constructing different angles and know how to bisect (divide in 2) an angle.

13 Data Handling

Data handling or statistics is all about analyzing data. Interpreting data like the average amount that people spend on different products, can tell you which products to purchase and which products do not sell. We learn about many other ways of interpreting data and what you can do with it. If it interests you, then you can study to become a statistian!

Average of grouped data and box and whisker diagram

Know the difference between grouped and ungrouped data. Finding the average of grouped data is a popular exam question

14 April test

.The first test of the year is your April test. Do well in this test as it will boost your self-confidence for the year. I work through various past tests to cover all possible type of questions.

April test preparation Numbers and algebraic expressions

In this recording we look at the number system and algebraic expressions like like terms and multiplying binomials with trinomials.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

15 June Paper 1

The June exam consists of two exams - a paper 1 and a paper 2. Paper 1 consists of algebra like factorising , equations and graphs.

Functions

Revision of a hyperbola and straight line.

16 June Paper 2

The June exam consists of two exams - a paper 1 and a paper 2. Paper 2 consists of topics like trigonometry, euclidean geometry and statistics .

Elevation and depression angles and quadrilaterals

Revision of angles of a triangle using trigonometric ratios and solving angles of quadrilaterals.

June trigonometry questions from past 2019 papers

Trigonometry questions from 2019 past papers and working out the inverse ratios.

17 November Paper 1

Revising Paper 1 by working through numerous past papers from the different provinces.

Eastern Cape November 2019 Probability

Click edit button to change this text. Lorem ipsum dolor sit amet, consectetur adipiscing elit.

Department of Basic Education Nov Paper 1 Number patterns and financial maths

Click edit button to change this text. Lorem ipsum dolor sit amet, consectetur adipiscing elit.

Exponents and equations Department paper Nov 2012 and questions from past papers

Click edit button to change this text. Lorem ipsum dolor sit amet, consectetur adipiscing elit.

November 2019 number patterns, inequalities

SHIFT TO NOVEMBER PAPER 1.

Factorising revision

Revising the factorising method where we look for a common bracket.

Exponents and equations from past tests

Here we go through the exponential laws and how to recognise what to do.

Exponents from Past tests

Revising how to work with exponents.

Numbers and equations Eastern Cape Nov 2019 Paper 1

In this recording we go through difficult questions based on numbers and I discuss possible exam questions.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Phasellus lobortis velit erat, sed dictum orci bibendum ut.

18 November Paper 2

Revision questions from various past November papers from the different provinces.

Data handling and trigonometry revision

Data handling from a 2018 Limpopo November Paper.

Eastern Cape Nov 2020 Euclidean geometry Q5 congruency

Understand and remember the properties of quadrilaterals.

Similarity and congruency revision

Know the difference between similarity and congruency. Also know the midpoint theorem

Analytical geometry NSC Department of Basic Education

MATRIC PAST PAPER QUESTION.

Data handling and trigonometry revision

Limpopo 20218 November past paper, focusing on data handling and trigonometry.