Math Games

Number concepts to 20
• counting:
- counting on and counting back
- skip-counting by 2 and 5
- sequencing numbers to 20
- comparing and ordering numbers to 20
- Numbers to 20 can be arranged and recognized.
- subitizing
- base 10
- 10 and some more
• books published by Native Northwest: Learn to Count, by various artists; Counting Wild Bears, by Gryn White; We All Count, by Jason Adair; We All Count, by Julie Flett (nativenorthwest.com) using counting collections made of local materials; counting in different languages; different First Peoples counting systems (e.g., Tsimshian)
• Tlingit Math Book (yukon-ed-show-me-your-math.wikispaces.com/file/detail/Tlingit Math Book.pdf)

Ways to make 10
• decomposing 10 into parts
• Numbers to 10 can be arranged and recognized.
• benchmarks of 10 and 20
• Traditional First Peoples counting methods involved using fingers to count to 5 and for groups of 5.
• traditional songs/singing and stories

Change in quantity to 20, concretely and verbally
• verbally describing a change in quantity (e.g., I can build 7 and make it 10 by adding 3)

Meaning of equality and inequality
• demonstrating and explaining the meaning of equality and inequality
• recording equations symbolically, using = and ≠

Addition and subtraction to 20 (understanding of operation and process)
• decomposing 20 into parts
• mental math strategies:
- counting on
- making 10
- doubles
• Addition and subtraction are related.
• whole-class number talks
• nature scavenger hunt in Kaska Counting Book (yukon-ed-show-me-your-math.wikispaces.com/file/detail/Kaska Counting Book.pdf)

Repeating patterns with multiple elements and attributes
• identifying sorting rules
• repeating patterns with multiple elements/attributes
• translating patterns from one representation to another (e.g., an orange-blue pattern could be translated to a circle-square pattern)
• letter coding of pattern
• predicting an element in repeating patterns using a variety of strategies
• patterns using visuals (ten-frames, hundred charts)
• investigating numerical patterns (e.g., skip-counting by 2s or 5s on a hundred chart)
• beading using 3–5 colours

Direct measurement with non-standard units (nonuniform and uniform)
• Non-uniform units are not consistent in size (e.g., children’s hands, pencils); uniform units are consistent in size (e.g., interlocking cubes, standard paper clips).
• understanding the importance of using a baseline for direct comparison in linear measurement
• using multiple copies of a unit
• iterating a single unit for measuring (e.g., to measure the length of a string with only one cube, a student iterates the cube over and over, keeping track of how many cubes long the string is)
• tiling an area
• rope knots at intervals
• using body parts to measure
• book: An Anishnaabe Look at Measurement, by Rhonda Hopkins and Robin King-Stonefish (strongnations.com/store/item_display.php?i=3494&f=)
• hand/foot tracing for mitten/moccasin making

Comparison of 2D shapes and 3D objects
• sorting 3D objects and 2D shapes using one attribute, and explaining the sorting rule
• comparing 2D shapes and 3D objects in the environment
• describing relative positions, using positional language (e.g., up and down, in and out)
• replicating composite 2D shapes and 3D objects (e.g., putting two triangles together to make a square)

Likelihood of familiar life events, using comparative language
• using the language of probability (e.g., never, sometimes, always, more likely, less likely)
• cycles (Elder or knowledge keeper to speak about ceremonies and life events)

Concrete graphs, using one-to-one correspondence
• creating, describing, and comparing concrete graphs

Values of coins, and monetary exchanges
• identifying values of coins (nickels, dimes, quarters, loonies, and toonies)
• counting multiples of the same denomination (nickels, dimes, loonies, and toonies)
• Money is a medium of exchange.
• role-playing financial transactions (e.g., using coins and whole numbers), integrating the concept of wants and needs
• trade games, with understanding that objects have variable value or worth (shells, beads, furs, tools)