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Working Mathematically Indicators
Working Mathematically Indicators
- Demonstrate how to calculate percentages of quantities by also changing units (Communicating, Reasoning, Problem Solving, Fluency, Understanding)
Syllabus Dot Points
Syllabus Dot Points
- interpret calculator displays in formulating solutions to problems involving percentages by appropriately rounding decimals (Communicating)
- interpret and use nutritional information panels on product packaging where percentages are involved (Problem Solving) interpret and use media and sport reports involving percentages (Problem Solving)
- interpret and use statements about the environment involving percentages, eg energy use for different purposes, such as lighting (Problem Solving)
Learning Goals
Learning Goals
Students will solve problems with percentages where they will also have to change units to ensure that they are the same.
Resources
Resources
(1) Worked examples of percentage calculations involving the conversion of units (ICT)
The teacher could display these examples to the class or even have the students paste them into their books.
Questions for students to answer are also towards the bottom of the website. There are a list of questions which initially require students to convert the numbers to the same units before calculating the percentage.
(2) Calculating percentages of ingredients on nutritional information panels. Some examples are displayed below. (LIT)
The teacher could bring in physical boxes with nutritional information panels so that students could be separated into small groups and handed their own concrete material.
Weet-Bix example:
Weet-Bix example:
Calculate the percentage of Potassium per 100 grams?
Potassium is represented as milligrams and hence students will have to change the units to obtain the percentage.
Chicken Stock example:
Chicken Stock example:
Calculate the percentage of Sodium in one serving?
Musashi Protein example:
Musashi Protein example:
Calculate the percentage of Glutamic Acid per 100 grams?
(3) Examples of percentages in the environment (ICT)
An activity here could involve students attempting to find the percentage growths and decreases themselves by covering up the percentage answers in a worksheet. The worksheet would look like this:
(4) Kahoot! (ICT)
The entire class would be involved in this activity.
A Kahoot! quiz can be made in a similar fashion to the one that was attempted in this Youtube video. Kahoot! can enhance student learning as it involves the entire class and students feel motivated to see their names represented on the leader board.
Lesson Plan
Lesson Plan
9:00am Introduction:
The teacher will reflect on what has been learnt so far. In particular the teacher will write this example on the board, "express 200mm as a percentage of 4m." The teacher will ask the students questions such as, "does this example look familiar to you? Is there something else we need to do here before we can attempt the question?" The teacher will tell the students to think together in pairs and discuss this question for a minute. A class discussion will follow and the teacher will ask a question such as, "Did anyone figure out what we need to do first?" Following on from this the teacher will emphasise that the units need to be the same in order for the question to be answered.
9:15am Nutritional Information Panels:
The teacher will provide students with photocopied panels of Nutritional Information panels. Students will be separated into small groups and they will be tasked with calculating the percentage of some ingredients per serving. Unit conversions will occur here and this activity will build on from what was learnt in the introduction.
9:30am Kahoot:
Students will participate in a Kahoot quiz which will focus on questions that relate to what has been learnt in the lesson so far. Since this activity won't take the form of a traditional quiz on content that has been learnt, it is suitable as an assessment for learning. This is because it feels like a game, but at the same time it is a challenge for the students, where they will build their skills to answer the style of questions that have been taught today. Kahoot will also provide the teacher with a window to see how students are going.
9:55am Conclusion:
The teacher will reflect on what has been learnt today. The teacher will return to the example from the beginning of the lesson, and they will ask the students again to reflect on what needed to be accomplished in order for them to attempt the question.
Evaluation Questions:
- Were students engaged during the Kahoot quiz?
- Were students invested when examining the nutritional labels?
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