Activity 3 scaffold for Aspect 6 Aspect 6 Fraction units Level 0 Level 1 Level 2 Level 3 4 5 Emergent partitioning Halving Equal partitions Reforms the whole Multiplicative partitioning Fractions as numbers Attempts to halve by Verifies continuous and When iterating a fraction Identifies the need to have Forms halves and quarters Coordinates composition of splitting without attention to discrete linear part such as one-third equal wholes to compare by repeated halving. partitioning (i.e. can find equality of the parts. arrangements have been beyond the whole, re-forms fractional parts. Uses one-third of one-half to Can use distributive dealing partitioned into thirds or the whole. fractions as numbers, i.e. create one-sixth). to share. fifths by iterating one part to 1/3 > 1/4, including form the whole or checking improper fractions. Creates equivalent fractions the equality and number of using equivalent equal parts forming the whole. wholes. Coordinates units at three levels to move between equivalent fraction forms. Fractions and decimals Fractions, decimals and percentages Addition and subtraction substrands Multiplication and division Syllabus
Activity 3 scaffold for Aspect 6 Aspect 6 Fraction units Level 0 Emergent partitioning Level 1 Halving Level 2 Equal partitions Level 3 Reforms the whole 4 Multiplicative partitioning 5 Fractions as numbers Attempts to halve by splitting without attention to equality of the parts. Forms halves and quarters by repeated halving. Can use distributive dealing to share. Verifies continuous and discrete linear arrangements have been partitioned into thirds or fifths by iterating one part to form the whole or checking the equality and number of parts forming the whole. When iterating a fraction part such as one-third beyond the whole, re-forms the whole. Coordinates composition of partitioning (i.e. can find one-third of one-half to create one-sixth). Creates equivalent fractions using equivalent equal wholes. Coordinates units at three levels to move between equivalent fraction forms. Identifies the need to have equal wholes to compare fractional parts. Uses fractions as numbers, i.e. 1/3 > 1/4, including improper fractions. Syllabus substrands Fractions and decimals Fractions, decimals and percentages Addition and subtraction Multiplication and division
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