Statistics Level 1 Curriculum Balance: 5% (10 hours) NUMP Strategy Stage 2 - 3 NUMP Strategy Stage 4 Statistics Level 2 Curriculum Balance: 5% (10 hours) NUMP Strategy Stage 5 Curriculum Objectives: Statistical Investigation Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the results Curriculum Objectives: Statistical Investigation Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and displaying category and whole-number data; communicating findings based on the data Statistical Literacy Interpret statements made by others from statistical investigations and probability activities. Statistical Literacy Compare statements with the features of simple data displays from statistical investigations or probability activities undertaken by others. Probability Investigate situations that involve elements of chance, acknowledging and anticipating possible outcomes. Probability Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty. Statistics Level 3 Curriculum Balance: 5% (10 hours) Statistics Level 4 Curriculum Balance: NUMP Strategy Stage 6 NUMP Strategy Stage 7 Curriculum Objectives: Statistical Investigation Conduct investigations using the statistical enquiry cycle: gathering, sorting and displaying multivariate category and whole-number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data sets; communicating findings, using data displays. Curriculum Objectives: Statistical Investigation Plan and conduct investigations using the statistical enquiry cycle: determining appropriate variables and data collection methods; gathering, sorting and displaying multivariate category, measurement and time-series data to detect patterns, variations, relationships and trends; comparing distributions visually; communicating findings, using appropriate displays. Statistical Literacy Evaluate statements made by others about the findings of statistical investigations and probability activities. Probability Investigate situations that involve elements of chance comparing experimental distributions with expectations from models of the possible outcomes. Use simple fractions and percentages to describe probabilities. Statistical Literacy Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability undertaken by others. Probability Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary. Setting: In contexts that require them to solve problems or model situations, students will be able to ………..… independently and most of the time. National Standards after one year at school: Statistical Investigation & Statistical Literacy Investigate questions by using the statistical enquiry cycle (with support), gathering, displaying, and/or counting category data. National Standards after two years at school: Statistical Investigation & Statistical Literacy Investigate questions by using the statistical enquiry cycle (with support), gathering, displaying, and/or identifying similarities and differences in category data; Probability Describe the likelihoods of outcomes for a simple situation involving chance, using everyday language. National Standards after three years at school: Statistical Investigation & Statistical Literacy Investigate questions by using the statistical enquiry cycle (with support); *gather and display category and simple whole-number data *interpret displays in context Probability Compare and explain the likelihoods of outcomes for a simple situation involving chance. National Standards at the end of four years at school: Statistical Investigation & Statistical Literacy Investigate questions by using the statistical enquiry cycle independently; *gather and display category and simple whole-number data; *interpret displays in context Probability Compare and explain the likelihoods of outcomes for a simple situation involving chance, acknowledging uncertainty. National Standards at the end of five years at school: Statistical Investigation & Statistical Literacy Investigate summary and comparison questions by using the statistical enquiry cycle; *gather and display and identify patterns in category and wholenumber data *interpret results in context Probability Order the likelihoods of outcomes for simple situations involving chance, experimenting or listing all possible outcomes. National Standards at the end of six years at school: Statistical Investigation & Statistical Literacy Investigate summary and comparison questions by using the statistical enquiry cycle; *gather or access multivariate category and whole-number data *sort data into categories or intervals, display it in different ways and identify patterns *interpret results in context, accepting that samples vary; Probability Order the likelihoods of outcomes for simple situations involving chance, considering experimental results and models of all possible outcomes. National Standards at the end of seven years at school: Statistical Investigation & Statistical Literacy Investigate summary and comparison questions by using the statistical enquiry cycle; *gather or access multivariate category and measurement data *sort data and display it in multiple ways, identifying patterns and variations *interpret results in context, accepting that samples vary and have no effect on one another Probability Order the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes. National Standards at the end of eight years at school: Statistical Investigation & Statistical Literacy Investigate summary, comparison and relationship questions by using the statistical enquiry cycle; *gather or access multivariate category, measurement and timeseries data *sort data and display it in multiple ways, identifying patterns, variations, relationships, and trends and using ideas about middle and spread where appropriate *interpret results in context, identifying factors that produce uncertainty Probability Express as fractions the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes. Level 1 Curriculum Balance: 5% (10 hours) NUMP Strategy Stage 2 - 3 NUMP Strategy Stage 4 The statistical enquiry cycle: P-P-D-A-C Level 2 Curriculum Balance: 5% (10 hours) NUMP Strategy Stage 5 Level 3 Curriculum Balance: 5% (10 hours) NUMP Strategy Stage 6 Level 4 Curriculum Balance: NUMP Strategy Stage 7 Pose a question or make an assertion. Plan an investigation. Gather the Data, Analyse the data, Form Conclusions In class you will see and hear; Investigations Data collections Tally charts / pictographs / bar graphs Investigating questions Sorting, counting, categorising, interpreting data Gathering and graphing information In class you will see and hear; Investigations Contexts and links to inquiry and other learning areas Posing and exploring questions Sharing outcomes Small group investigations Making statements about data Collecting data Tally charts, pictograms, bar charts In class you will see and hear; Investigations Data collections Displays Interpreting Patterns and trends Use of statistical language Questions Summaries Graphs In class you will see and hear; Investigations Enquiry process Comparing and contrasting Illustrations and variety of graphs Collection of data independently and collaboratively Hypothesising Questioning Evaluating Literacy Using information Making simple statements Language: more, less, favourite, most popular, least popular, common Literacy Interpreting simple graphs making statements about data Agree / disagree – why? Probability statements – I think this will happen because…. Literacy Evaluating and displaying Discussing findings Purposeful questioning Literacy Connecting and investigating Questioning and evaluating Statistics in newspapers Playing with data Use of titles and labels Interpreting data Probability Estimating, guessing Likely, unlikely, possible, impossible Contexts ; dice, weather, relevant to the age of children Language for impossible situations Probability Use of chance language Fair games Modelling in game situations Language / certain, uncertain, possible, probable, unlikely, likely Use of language in social / real life situations Dice rolls – possible outcomes? Probability Discussions on chance Outcomes / predictions Making evaluative statements Use of equipment Probability Hands on learning Estimation Process of enquiry Process of investigating