Maths workbook Year 8 Higher

For each lesson, work for 40-45minutes including watching the video, working

on the questions and marking your work. If you finish any of the lesson before you have worked for 55minutes, use the time to go back to any questions you didn’t have time for on previous lessons.

- Percentage increase/decrease (non calculator)

-Percentage increase/decrease with multiplier (calculator) - Using proportion

- Catching up on anything you haven’t managed to complete

- Moving on to Algebra unit 2 - - Simplifying expressions

- Solving equations - Continued solving equations

- Substitution - Trial and improvement methods

- Forming equations - Inequalities on numberlines

- Continued inequalities

Percentage increase and decrease (Non calculator)

https://corbettmaths.com/2012/08/21/increasing-or-decreasing-by-a-percentage/

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Percentage increase/decrease with a calculator

https://www.youtube.com/watch?v=6Pbzq322RzU

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Using proportion (unitary method)

https://corbettmaths.com/2018/11/28/unitary-method-video/

Make sure to check the symbol, to see if you are allowed to use a calculator for each question.

Answer

Start of Algebra unit. Simplifying expressions.

https://corbettmaths.com/2013/12/28/collecting-like-terms-video-9/

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Solving equations

https://www.youtube.com/watch?v=30S7WxKcPwg

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Continued solving equations

https://www.youtube.com/watch?v=30S7WxKcPwg

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Substitution

https://corbettmaths.com/2012/08/20/substitution-into-expressions/

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Trial and improvement methods

When we say ‘trial and improvement’ we mean having a logical attempt at something, then using the result to figure out where to try next.

Imagine if you’re trying to guess a number with a friend.

You guess 6, your friend says higher. You guess 20, your friend says lower.

You now know you need to pick a number between 6 and 20, you’re best to pick a number right in the middle, this reduces the number of options left as fast as possible, on average.

You say 13, your friend says higher. This makes the number of choices left smaller each time, and is generally the most efficient way to

find a solution.

In the questions below, you are going to pick a number to try as x. Substitute it in, as you have practiced doing, and see if you get the desired answer. If not, fill in the table and then try again!

You can use a calculator.

https://www.youtube.com/watch?v=r_CyAjfTl0E

Forming expressions and equations

Remember: an equation has an equals sign, an expression does not.

https://corbettmaths.com/2013/04/20/forming-equations-involving-perimeter-or-angles/

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Inequalities and numberlines

https://corbettmaths.com/2018/12/17/inequalities-2/

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Solving inequalities

https://corbettmaths.com/2013/05/07/solving-inequalities-one-sign-corbettmaths/

Watch the video, then treat these questions as if the inequality sign were an equals. Notice on question 3 you need to draw your solution on a numberline also.

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