Unit 1: Numbers
Overview
Welcome to the first unit of study in mathematics at Island School!
The purpose of this unit is to introduce you the type of work you'll do during mathematics lessons. It might be very different from what you are used to!
You'll work on a number of tasks, and may get extra work from your teacher. The tasks all focus on what are known as "the four operations of arithmetic" which are: adding, subtracting, multiplying, and dividing. You'll be working with whole numbers (known as "integers") most of the time.
One thing that the tasks all have in common is that you will have to explore the problems you are given in order to find the right answer. It won't be obvious what that answer is, and it's unlikely that you'll be able to get to the correct answer without making some mistakes along the way.
The important thing is to learn from these mistakes to help you find the correct solution to the problem.
This is sometimes called "inquiry learning" but really it's "doing mathematics" as it's exactly what mathematicians have to do!
Click on the links in the section below to take you to the relevant pages for each task.
Common Tasks
Other Activities and Resources
Assessment
In this assessment you will be assessed on Criterion C: Communicating.
Assessment Checklist
To do well on this assessment you will need to do the following things:
Accurately carry out the four operations of arithmetic (adding, subtracting, multiplying and dividing) for integers without the help of a calculator.
Use the correct mathematical notation, e.g. × and ÷, and language, e.g. “integer”, "sum", "difference", “product”, and "quotient" etc.
Present clearly your work for different methods of multiplication and division e.g. column method and grid method.
Apply the “order of operations” (BEDMAS/BIDMAS/PEMDAS) to arithmetic calculations.
Explain your findings.
End of Unit Review
To support your revision, take a look at the following tasks:
Skills based practice on Dr Frost Maths - click here to check how well you have understood the learning objectives of this unit. You are encouraged to watch the relevant video and practise any skill that you find challenging.
Practice assessment - this is particularly focused on ensuring you have understood i) the statement of inquiry, key and related concepts in relation to the unit, ii) the assessment objective/rubric, iii) key command terms required to understand the assessment and iv) ATL skills you have developed over the unit. Make a copy of and attempt the practice assessment below, the answers can be found here:
Assessment
In this assessment you will be assessed on Criterion C: Communicating.
Assessment Checklist
To do well on this assessment you will need to do the following things:
Accurately carry out the four operations of arithmetic (adding, subtracting, multiplying and dividing) for integers without the help of a calculator.
Use the correct mathematical notation, e.g. × and ÷, and language, e.g. “integer”, "sum", "difference", “product”, and "quotient" etc.
Present clearly your work for different methods of multiplication and division e.g. column method and grid method.
Apply the “order of operations” (BEDMAS/BIDMAS/PEMDAS) to arithmetic calculations.
Explain your findings.
End of Unit Review
To support your revision, take a look at the following tasks:
Skills based practice on Dr Frost Maths - click here to check how well you have understood the learning objectives of this unit. You are encouraged to watch the relevant video and practise any skill that you find challenging.
Practice assessment - this is particularly focused on ensuring you have understood i) the statement of inquiry, key and related concepts in relation to the unit, ii) the assessment objective/rubric, iii) key command terms required to understand the assessment and iv) ATL skills you have developed over the unit. Make a copy of and attempt the practice assessment below, the answers can be found here:
Unit Reflection
Make a copy of the document below and follow the following steps for your reflection:
During the Unit
During the Unit
At the beginning of the unit, use the traffic light system to rate how confident you are of the learning objectives. This will help you identify what areas you need to focus on in your lessons and self-study.
Add to the "What key skills have I learnt in the unit?" box key takeaways from your lessons and self-study. You may want use this as notes at the end of each lesson.
Add to the "What key skills do I still need to work on?" box key things that you still need further practice. Make sure you include resources like videos from DrFrostMaths, CorbettMaths, MyiMaths and Eedi etc.
At the end of the unit and prior to the assessment, use the traffic light system to rate how confident you are of the learning objectives. This will help you identify what areas you need to work on for your assessment.
After the assessment
Use the second part of the document to reflect on your assessment:
Add to the "What went well?" box a reflection of the positives. Make sure this is a reflection on the mathematics, not your effort.
Add to the "What do I need to improve on?" box reflection additional things you need to do to address the gaps of knowledge shown in the assessment. Be specific about how you can address the problems. You should start with “I need to… ”
Copy and paste what you wrote in the two boxes onto your student portfolio as part of your reflection for your target.
Upload your reflection document onto your student portfolio as evidence for your reflection.
For more help with reflections, take a look at the Target Setting - Student Reflections slides.