These exercises and activities are for students to use as a week’s homework to practice number properties
A range of problems for which they have to decide whether or not a given strategy is appropriate.
Exercise 1
Word problems – many students find word problems difficult, and these form the core of many NCEA assessments. Consequently practice with them is continually needed. Here the focus is also on setting out and explaining what is being done at each step, as this is also a maths based skill required for NCEA. This could have been the focus of a lesson at some stage in the past, then simply be part of the regular homework – or it may be a way of starting the next lesson where this aspect of mathematics is the teaching point for the day.
The word problems follow a format that is common in NCEA achievement standards assessment – with a bit more scaffolding. It requires students to explain what they are calculating at each step.
Question 4 could be used to prove students have actually done their homework – and good questions are a source of further worksheets for next year.
Exercise 2
Rounding and compensating. This exercise revises a strategy and when it works – but over both domains rather than within a single domain. Be aware that this particular strategy works for +/-/?, but not division. (A very good extension problem is to ask students why it does not…) Getting students to look at decimals may be revision for some – or it may be an extension piece that is making student really think. In either case, the focus is on explanation rather than simple computation. This also means that question 13 is an extension problem that may not be used with all students.
The decimal problems should be collected and marked, if this is set, as it may bring to light a number of understanding issues around both decimals and the strategy
Exercise 3
Multiplication without the sign – introduces a small piece of knowledge that would otherwise take lesson time. It is also serving as part of the bridge from number to algebra and the development of the distributive law. One concern with this exercise is that it has only a few problems to support new learning, so may need follow up in group time.
The exercise can be followed up by using the notation in this format in group teaching sessions.
Checks that homework has been completed can be run very quickly at the start of the period, while someone is running the starter.
Printed from https://nzmaths.co.nz/resource/homework-sheet-stage-6-7-revision-add-sub-and-mult-div-domains at 9:12pm on the 29th April 2024