Learning outcomes for Patterns and Relations (Variables and Equations) commence in Grade 6
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Use informal and concrete representations of equality and operations on equality to solve problems
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Use variables and equations to express, summarize, and apply relationships as problem-solving tools in a restricted range of contexts
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- generalize a pattern by substituting numbers into a frame and compare the results to the original pattern
- demonstrate the meaning and the preservation of equality using objects, models, and diagrams
- graph ordered pairs in the first quadrant, analyse results, and generalize relationships
- solve one-variable equations with whole number coefficients and solutions using informal techniques
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- generalize a pattern arising from a problem-solving context using an open number sentence with appropriate variables
- substitute number variables and compare the results to concrete models and tables
- write expressions involving variables using standard mathematical conventions
- analyse relations graphically to discover how changes in one quantity may affect others
- graph relations, analyse results, and draw conclusions
- solve and verify simple linear equations using a variety of techniques
- use patterns and relationships to represent and solve problems by translating everyday language into mathematical symbols and vice versa
- explain how to solve simple problems using informal algebraic methods
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Patterns and Relations (Variables and Equations)
