Level Two

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GM2-7: Predict and communicate the results of translations, reflections, and rotations on plane shapes.

This means students will experience physically moving shapes so that they can predict the location and orientation of the shape after it has been translated, reflected or rotated, for example draw/show what this shape will look like if I give it a half turn about its centre. Students should be able to identify how many mirror lines a shape has that maps it onto itself, for example a square has four mirror lines. Translations are images of a shape as it is shifted along a line, for example translation arrows.</body></html>

GM2-6: Describe different views and pathways from locations on a map.

This objective requires students to see schematic maps as a two dimensional representation of the real world. By looking at a map students should be able to anticipate landmarks they will see from a given location and in which direction (N, S, E, W) those landmarks will be seen. From a map they should give a set of directions, using distances in whole numbers of metres and quarter/half turns, that will take a person from one position on the map to another,  turn right and walk about 25 metres.

 

GM2-5: Create and use simple maps to show position and direction.

At Level Two students should be able to use simple schematic maps, for example plans of their school, road maps of their local area. This involves finding their current position on a map by connecting landmarks they can see with locations on the map. Similarly it involves finding the place that matches a given point on the map and describing how they would move from one point to another. Descriptions of movement should include features such as main compass directions (N, S, E, W), half and quarter turns, and approximate distances in whole numbers of metres (for example about 12 metres).

GM2-4: Identify and describe the plane shapes found in objects.

This means students will be able to identify plane (flat) shapes in objects and structures around them and consider why the given shape is suitable for its purpose, for example wheels are circular so they roll freely, floors are usually rectangles because they are easier to build and things fit efficiently, etc. They should consider how three dimensional objects are built from flat shapes through pulling packets apart and constructing solids of their own, for example nets for cubes.

 

GM2-3: Sort objects by their spatial features, with justification.

This means students will sort objects by selecting an attribute or attributes by which to classify items and allocating the items into groups by commonality of that attribute. At Level Two students should be able to find their own system to classify items, using attributes like shape, colour, size, texture, thickness, material, purpose, etc and justify their allocation of items into categories, for example "all of these shapes have three sides".

GM2-2: Partition and/or combine like measures and communicate them, using numbers and units.

This means students will perform and communicate calculations involving like measures. Like measures involve the same units for the same attribute. This allows the result of joining or separating units to be anticipated using additive number strategies. For example, a box has a volume of 36 cubes. If a 3 by 4 cube layer is put in the empty box then there will be space for 36 – 12 = 24 more cubes. At Level Two students should be able to use numbers and common symbols to communicate measurement results, for example my lunchbox holds 60 cubes. I took 13 minutes to walk home.

GM2-1: Create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and time.

This means students will recognise that the attributes length, area, volume and capacity, and weight can be measured. At Level Two students are expected to recognise that measurement units are countable and therefore able to be partitioned and recombined in the same way as other units of one. For example, if an 8 unit length is cut from a 14 unit long strip the remainder will measure 6 units. Units of measure have other characteristics including being a part of the attribute they measure and uniformity (same size).

NA2-8: Find rules for the next member in a sequential pattern.

This means students will explore sequential patterns, either spatial, for example, spatialsequence. , ... or numeric, for example, 1, 3, 5, 7 ... A pattern has consistency so further terms of it can be anticipated from those already known. In spatial patterns students should be able to identify the repeating element, for example, spatial3.</body></html>

NA2-7: Generalise that whole numbers can be partitioned in many ways.

Students at level two should understand that numbers are counts that can be split in ways that make the operations of addition, subtraction, multiplication and division easier. From Level One students understand that counting a set tells how many objects are in the set. Building on this thinking at Level Two is to realise that the count of a set can be partitioned and that the count of each subset tells how many objects are in that subset. Also required is understanding that partitions of a count can be recombined.

NA2-6: Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols.

This means students will be able to use words, symbols and diagrams to explain their number strategies to others. Recording also allows students to think through solutions to problems and allows them to reduce their working memory load by storing information in written form. This is particularly important for the solving of complex, multi-step problems. Students should be able to write the numerals for whole numbers, to 1000, and simple fractions.