Generating Number and Spatial Patterns
In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:
NA4-8: Generalise properties of multiplication and division with whole numbers.
NA4-9: Use graphs, tables and rules to describe linear relationships found in number and spatial patterns.
NA4-8: Generalise properties of multiplication and division with whole numbers.
NA4-9: Use graphs, tables and rules to describe linear relationships found in number and spatial patterns.
In this unit you will learn:
1) Finding and Writing General Rules for Number Patterns
2) Using Rules, Tables and Graphs
3) Plotting Coordinates
4) Percentage
1) Finding and Writing General Rules for Number Patterns
2) Using Rules, Tables and Graphs
3) Plotting Coordinates
4) Percentage
NZ Maths Website Activities...
Flipping Fish
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Planning Paths
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Cube Signs
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Square and Triangular Numbers
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1) Finding and Writing General Rules for Number Patterns
- A variable is a letter or a symbol that is used to decribe infinitely many numbers.
- Variables allow us to write expressions that describe all possible sentences for a given situation.
- To find a general rule or a number pattern, decide 'what is the same' and 'what is different'.
- When an equation is written using variables, it is called a rule or a formula e.g. 3 x a - 2 = b or 3 x m - 2 = n
- Mathematicians leave out the x sign between a number and a variable to be more efficient. e.g. 3a - 2 =b
Have a look at these sites:
https://www.mathsisfun.com/algebra/sequences-finding-rule.html
http://www.virtualnerd.com/middle-math/number-algebraic-sense/sequences-patterns/write-pattern-sequence-rule
2) Using Rules, Tables and Graphs
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FINDING RULES FOR NUMBER PATTERNS FROM A TABLE OF VALUES
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Check out these websites
http://www.mathplanet.com/education/algebra-1/discovering-expressions,-equations-and-functions/representing-functions-as-rules-and-graphs
NA4-9: Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.
http://www.mathplanet.com/education/algebra-1/discovering-expressions,-equations-and-functions/representing-functions-as-rules-and-graphs
NA4-9: Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.
3) Plotting Coordinates
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