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5.OA.3 – Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Samples: Identifying expressions. Continuing number sequences including fractions and decimals.
Patterns and algebra
ACMNA133 – Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence
Samples: Multiplying By Multiples Of 10. Equivalence to a half - identifying the numerator. Equivalent Fractions.
7.NA.4 – Find and represent relationships in spatial and number patterns, using:
7.NA.4.a – Tables and graphs
Samples: Substituting numbers for letters. Substituting Numerals 1. Input - Output. Algebraic Techniques. Input - Output.
7.NA.4.b – General rules for linear relationships.
Samples: Represent problems using algebraic equation. Continue number patterns (multiplication).
KS2.Y6.A – Algebra
Pupils should be taught to:
KS2.Y6.A.4 – Find pairs of numbers that satisfy an equation with 2 unknowns
Samples: Substituting numbers for letters. Subtraction of Like Terms. Input - Output. Input - Output. Number Pattern Tables.