Structured inquiry
Inquiry Maths
Percentages inquiry
Think on your own about this equation and write down an idea or ideas.
You will share your idea with your neighbour and agree on one idea to share with the class.
Inquiry Maths
Question, notice, wonder
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Do now
Inquiry Maths
Question, notice, wonder
Inquiry Maths
Question, notice, wonder
Inquiry Maths
How do we learn in a mixed attainment class?
In this lesson
Inquiry Maths
This is our learning journey for our lessons on percentages.
You might not have to start at the beginning of the journey, and you might not finish the journey this year.
Define percentage as ‘number of parts per hundred’. Calculate the percentage of a number. Work with percentages greater than 100%. | Increase and decrease an amount by a percentage. Use a decimal multiplier to increase and decrease an amount by a percentage. | Express one quantity as a percentage of another. Work out a number given a percentage of the number. | Calculate the original value after a percentage change (reverse percentages).
Calculate simple interest and compound interest in financial mathematics; depreciation. |
Learning journey Percentages
Inquiry Maths
In this lesson we will decide how we are going to inquire about percentages of a number.
Inquiry Maths
We are mathematicians.
What should we do next in the inquiry?
Discuss in your pair and be ready to share.
Inquiry Maths
Inquiry Maths
Inquiry Maths
Percentage match
Inquiry Maths
Percentage match
Multiplicative relationships
Inquiry Maths
Percentage match
Make up three more of your own pairs.
Is this one true?
Inquiry Maths
Reflect on learning
Are equations of this type always true?
How do you know?
Convince me.
Inquiry Maths
Reflect on learning
Explanation
Inquiry Maths
Inquiry Maths
Lines of inquiry
Inquiry Maths
In this lesson you will be following a line of inquiry by changing the inquiry prompt.
You will create more examples to decide if a statement is always, sometimes or never true with different numbers.
Inquiry Maths
Line of inquiry 1
Is the statement true?
What happens if you arrange the 20, 30, and 40 in a different order?
Make up more examples.
Does it always work?
Inquiry Maths
Line of inquiry 2
Inquiry Maths
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Line of inquiry 3
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Inquiry Maths
Reflect on learning
What did you find out? Get ready to tell the class what you know.
Line of inquiry 1
Line of inquiry 2
Line of inquiry 3
Inquiry Maths
Inquiry Maths