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Abstract. In this work we talk about some patterns on partitions considered by the 1 st Rogers-Ramanujan Identity. Looking for a new bijective proof for it, we have studied partitions into parts congruent to ±1 (mod 5) and have created a two-line matrix representation for them. By adding up their second line elements, we have obtained the number of parts of the related partitions. We classify the partitions according to the sum on the second row of the matrix associated to it and organize the data on a table, obtaining some partition identitities.

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From two-line matrix interpretations of Mock Theta Functions ρ(q), σ(q) and ν(q) introduced in [5], we have obtained identities for the partitions generated by their respective general terms, whose proofs are done in a completely combinatorial way. We have also obtained relations between partitions into two colours generated by ρ(q) and σ(q), and also by ν(q).