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Working Mathematically Indicators:
Working Mathematically Indicators:
- Understand how to increase and decrease a quantity by a given percentage (Understanding, Reasoning, Problem Solving)
- Demonstrate how to calculate percentage change (Problem Solving, Communicating, Fluency)
Syllabus Dot Points
Syllabus Dot Points
- Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologies
- increase and decrease a quantity by a given percentage, using mental, written and calculator methods
- interpret and calculate percentages greater than 100, eg an increase from $2 to $5 is an increase of 150%
- recognise equivalences when calculating percentage increases and decreases, eg multiplication by 1.05 will increase a number or quantity by 5%, multiplication by 0.87 will decrease a number or quantity by 13% (Reasoning)
Learning Goals
Learning Goals
Students will be able to solve problems which involve increasing or decreasing a quantity by a percentage. They will demonstrate an ability to solve problems involving these concepts. They will be able to answer questions that ask them to find the percentage change, or find the new value of a quantity after a percentage has increased or decreased it.
Resources
Resources
(1) A sheet which provides students with altering methods on how to calculate a percentage change (LIT)
The methods on the website linked below could be printed off as worksheets so students could paste them in their books. This would allow them to have a visual reminder of how to calculate a percentage change. This could be done at the beginning of the lesson.
The purpose of a sheet such as this would be to emphasise that there are differing methods to achieve the same answer in mathematics.
(2) Percentage Change Worksheets (LIT)
These worksheets would provide students with an opportunity to exercise their skills and apply the new knowledge they have gained. They could be attempted during the middle of the lesson after an explanation by the teacher.
Basic questions asking for students to write down percentage increases and decreases of two values
(3) Percent Change Game (ICT)
This game could be played after students have attempted a worksheet. It could be used to create a discussion and hence it could potentially be played with pairs or small groups.
The game contains three levels of difficulties, hence it allows for variation and flexibility. Students can attempt it at their own pace.
(4) Website enlightening students on the fact that increasing say for example by 5%, is the same as multiplying by 1.05 (ICT)
This resource could be used by the teacher to provide students with examinations into this concept.
Lesson Plan
Lesson Plan
Lesson Description
9:00am Introduction:
The teacher will begin the lesson by introducing the new concept of increasing and decreasing by a given percentage. The teacher will relate this back to the real life example of finding discounts. They will state that the difference now is, "we're going to find out what the discount is once we have the discounted price." Whilst introducing this concept the teacher will pose questions such as, "now we have looked at decreasing by a given percentage. But what if we to increase by a given percentage? How would we accomplish that?"
9:10am Money and Population Increase Worksheet:
The teacher will hand out worksheets with examples which relate to the questions explored during the introduction. The teacher will pose questions to the class such as, "how do you think we could apply these questions to real life situations?" The teacher will talk about money and population increase here before the students attempt the worksheet.
9:25am Percent Change Game:
This percent change game will be an effective strategy to offer different levels of differentiation for the class. This is because the activity offers different difficulty levels. Hence if students are finding the earlier questions easy they can move on and attempt more different questions.
9:40am Website Example and Group Discussion:
The teacher will show students a website which will enlighten them that increasing by 5% is the same as multiplying by 1.05. This will exemplify that there are different strategies that you can use for answering questions in mathematics. Following on from this the teacher will arrange students into groups and pose questions such as, "what if I was to decrease by 5%, what decimal could I multiply to achieve the same effect?"
9:50am Conclusion:
The teacher will recap on the lesson and hand out homework. In addition the teacher will ask questions such as, "were there any issues with homework?" Finally, the teacher will write up an example on the board and instruct students to write the answer on exit cards. This will provide the teacher with examinations into student progress.
Evaluation Questions
- Did students understand how percentages relate to population increase?
- Was showing the students a website an effective method in engaging them?
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