systematic application of application of relevant application of some selection and partial selection of problem-solving problemsolving approaches application of problemsolving approaches relevant problem-solving approaches to investigate approaches to investigate to investigate simple problemsolving approaches complex familiar situations familiar situations in simple familiar situations unfamiliar situations approaches Problem-solving development of development of development of statements about simple isolated statements about mathematical models and mathematical models and mathematical models and mathematical models and given mathematical models reasoning representations in representations in representations in simple representations and representations and unfamiliar situations complex familiar situations familiar situations modelling Mathematical clear explanation of explanation of mathematical description of mathematical statements about choices isolated statements about mathematical thinking and thinking and reasoning, thinking and reasoning, made, strategies used and given strategies or reasoning, including logical including reasons for including discussion of conclusions reached conclusions and Problem-solving justification of choices choices made, strategies choices made, strategies made, evaluation of used, proofs formulated and used, proofs formulated and strategies used, proofs conclusions reached conclusions reached formulated and conclusions justification Reasoning reached Key shading emphasises the qualities that discriminate between the A–E descriptors
Problem-solving and reasoning Problem-solving approaches systematic application of relevant problem-solving approaches to investigate unfamiliar situations application of relevant problem-solving approaches to investigate complex familiar situations application of problemsolving approaches to investigate simple familiar situations some selection and application of problemsolving approaches in simple familiar situations partial selection of problemsolving approaches Mathematical modelling development of mathematical models and representations in unfamiliar situations development of mathematical models and representations in complex familiar situations development of mathematical models and representations in simple familiar situations statements about simple mathematical models and representations isolated statements about given mathematical models and representations Reasoning and justification clear explanation of mathematical thinking and reasoning, including logical justification of choices made, evaluation of strategies used, proofs formulated and conclusions reached explanation of mathematical thinking and reasoning, including reasons for choices made, strategies used, proofs formulated and conclusions reached description of mathematical thinking and reasoning, including discussion of choices made, strategies used, proofs formulated and conclusions reached statements about choices made, strategies used and conclusions reached isolated statements about given strategies or conclusions Key shading emphasises the qualities that discriminate between the A–E descriptors
ac_maths_yr10_se.docx