Subjects

Maths

Algebra

Expressions & formulae

Year 8 Maths Revision: Pi, Algebra, Maths Terms

Name: Knowunity
Brand: Knowunity

View

Year 8 Maths Revision: Pi, Algebra, Maths Terms

Scarlet

@sscqr

9 Followers

This document provides an overview of key mathematical concepts including pi, algebra, and statistical terms. It covers formulas, problem-solving techniques, and definitions essential for students in middle school mathematics.

Pi (π) is introduced as a mathematical constant with its approximate value and usage in formulas
Algebraic concepts are explained, including equation solving and bracket expansion
Important statistical terms like mean, mode, median, and range are defined
Examples and practice problems are provided to illustrate the concepts

18/05/2023

915

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

View

Introduction to Algebraic Equations

This page delves into basic algebraic concepts and equation solving techniques.

The fundamental principle of algebra is introduced: when a number is adjacent to a letter without a symbol between them, it implies multiplication.

Vocabulary: In algebra, juxtaposition (placing a number next to a letter) indicates multiplication.

The page demonstrates how to solve equations using reverse operations:

Example: To solve -18 = 3x + 6:

Subtract 6 from both sides: -24 = 3x

Divide both sides by 3: -8 = x

Highlight: Equation solving is likened to balancing scales, emphasizing the importance of performing the same operation on both sides to maintain equality.

This content is particularly useful for students working on understanding algebraic equations for year 8 worksheets and aligns well with Algebra BBC Bitesize KS3 resources.

View

Expanding Algebraic Brackets

This page focuses on the expansion of algebraic brackets, both single and double.

For single brackets, each term inside the bracket is multiplied by the term outside. Examples are provided:

Example:

4(x + 1) = 4x + 4

3(x + 5) = 3x + 15

4(x - 2) = 4x - 8

The page also touches on expanding double brackets, noting that they should be expanded separately before collecting terms.

Highlight: When dealing with signs in expansions, remember:

A minus plus a minus makes a positive

Two pluses make a plus

A plus and a minus make a minus

The concept of checking answers using reverse operations is introduced, which is crucial for how to solve algebraic expressions Grade 8.

This content is excellent for students working on algebraic expressions Grade 8 pdf worksheets and Grade 8 algebraic Expressions Worksheet exercises.

View

Mathematical Terms and Definitions

This page provides definitions for key statistical terms used in mathematics.

Definition: Mean - The average of a set of numbers, calculated by summing all numbers and dividing by the count of numbers.

Definition: Mode - The most common number or value in a set of data.

Definition: Median - The middle number in an ordered set of numbers.

Definition: Range - The difference between the highest and lowest numbers in a set.

These definitions are essential for students working on mathematical terms definitions for year 8 revision worksheets and align with maths key words KS3 curricula.

This page serves as a concise maths glossary KS2 and maths glossary GCSE, providing a valuable resource for students to understand and use maths vocabulary PDF in their studies.

View

Understanding Pi and Circle Formulas

This page introduces the concept of pi (π) and its application in circle formulas.

Pi is defined as a mathematical constant approximately equal to 3.14159265359, often simplified to 3.14 for calculations. The page demonstrates how to use pi in calculating the area of a circle.

Definition: Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter.

An example problem is presented to calculate the area of a circle with a radius of 7cm:

Example: For a circle with a radius of 7cm (diameter 14cm), the area is calculated using the formula πr².

Area = π × 7² = 3.14 × 49 = 153.94 cm² (rounded to 2 decimal places)

Highlight: The pi r squared formula (πr²) is crucial for calculating the area of a circle.

This page provides a practical application of the 2 pi r formula for circumference of a circle and introduces students to using a pi formula calculator.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Algebra

Expressions & formulae

Year 8 Maths Revision: Pi, Algebra, Maths Terms

Scarlet

@sscqr

9 Followers

Pi (π) is introduced as a mathematical constant with its approximate value and usage in formulas
Algebraic concepts are explained, including equation solving and bracket expansion
Important statistical terms like mean, mode, median, and range are defined
Examples and practice problems are provided to illustrate the concepts

18/05/2023

915

7/8

Maths

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Introduction to Algebraic Equations

This page delves into basic algebraic concepts and equation solving techniques.

The fundamental principle of algebra is introduced: when a number is adjacent to a letter without a symbol between them, it implies multiplication.

Vocabulary: In algebra, juxtaposition (placing a number next to a letter) indicates multiplication.

The page demonstrates how to solve equations using reverse operations:

Example: To solve -18 = 3x + 6:

Subtract 6 from both sides: -24 = 3x

Divide both sides by 3: -8 = x

Highlight: Equation solving is likened to balancing scales, emphasizing the importance of performing the same operation on both sides to maintain equality.

This content is particularly useful for students working on understanding algebraic equations for year 8 worksheets and aligns well with Algebra BBC Bitesize KS3 resources.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Expanding Algebraic Brackets

This page focuses on the expansion of algebraic brackets, both single and double.

For single brackets, each term inside the bracket is multiplied by the term outside. Examples are provided:

Example:

4(x + 1) = 4x + 4

3(x + 5) = 3x + 15

4(x - 2) = 4x - 8

The page also touches on expanding double brackets, noting that they should be expanded separately before collecting terms.

Highlight: When dealing with signs in expansions, remember:

A minus plus a minus makes a positive

Two pluses make a plus

A plus and a minus make a minus

The concept of checking answers using reverse operations is introduced, which is crucial for how to solve algebraic expressions Grade 8.

This content is excellent for students working on algebraic expressions Grade 8 pdf worksheets and Grade 8 algebraic Expressions Worksheet exercises.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Mathematical Terms and Definitions

This page provides definitions for key statistical terms used in mathematics.

Definition: Mean - The average of a set of numbers, calculated by summing all numbers and dividing by the count of numbers.

Definition: Mode - The most common number or value in a set of data.

Definition: Median - The middle number in an ordered set of numbers.

Definition: Range - The difference between the highest and lowest numbers in a set.

These definitions are essential for students working on mathematical terms definitions for year 8 revision worksheets and align with maths key words KS3 curricula.

This page serves as a concise maths glossary KS2 and maths glossary GCSE, providing a valuable resource for students to understand and use maths vocabulary PDF in their studies.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Understanding Pi and Circle Formulas

This page introduces the concept of pi (π) and its application in circle formulas.

Pi is defined as a mathematical constant approximately equal to 3.14159265359, often simplified to 3.14 for calculations. The page demonstrates how to use pi in calculating the area of a circle.

Definition: Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter.

An example problem is presented to calculate the area of a circle with a radius of 7cm:

Example: For a circle with a radius of 7cm (diameter 14cm), the area is calculated using the formula πr².

Area = π × 7² = 3.14 × 49 = 153.94 cm² (rounded to 2 decimal places)

Highlight: The pi r squared formula (πr²) is crucial for calculating the area of a circle.

This page provides a practical application of the 2 pi r formula for circumference of a circle and introduces students to using a pi formula calculator.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

Year 8 Maths Revision: Pi, Algebra, Maths Terms

Introduction to Algebraic Equations

Expanding Algebraic Brackets

Mathematical Terms and Definitions

Understanding Pi and Circle Formulas

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Year 8 Maths Revision: Pi, Algebra, Maths Terms

Sign up to see the content. It's free!

Introduction to Algebraic Equations

Sign up to see the content. It's free!

Expanding Algebraic Brackets

Sign up to see the content. It's free!

Mathematical Terms and Definitions

Sign up to see the content. It's free!

Understanding Pi and Circle Formulas

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.