### Transcription of IMPROVING NUMERACY OUTCOMES PROJECT …

1 **IMPROVING** **NUMERACY** **OUTCOMES** **PROJECT** . **NUMERACY** **activities** AND. **lesson** SEQUENCES K-10. NSW DEPARTMENT OF EDUCATION. LEARNING AND TEACHING DIRECTORATE. **NUMERACY** FOCUS AREAS. SPATIAL. MENTAL. VISUALISATION, MEASUREMENT. COMPUTATION PATTERNS AND STATISTICS AND. GEOMETRIC AND TIME. AND NUMERICAL ALGEBRA PROBABILITY. REASONING AND CALCULATIONS. REASONING. MAPPING. Understanding Patterning, Applying concepts Understanding Interpreting and information in texts generalisations and of 3D objects length analysing data algebraic reasoning Estimating and Applying concepts Understanding Representing data problem solving of 2D shapes area in graphs and timelines Addition, Applying angles Understanding subtraction, and geometry mass, volume Interpreting multiplication and capacity chance, events and division Understanding and probability position, maps Understanding time Understanding and grids fractions, decimals.

2 Percentages, rates and ratios Understanding money and finance 2 NSW Department of Education 2017 | **NUMERACY** **activities** and **lesson** Sequences K-10. CONTENTS. FRACTIONS Stage 1 The Concept of a FRACTIONS Stage 2 Understanding FRACTIONS Stage 2 Related FRACTIONS Stage 3 and 4 Adding, Subtracting and Comparing NUMBER Stage 2 Mathematical Problem Solving a Focus on NUMBER Stage 2 Mathematical Problem Solving a Focus on NUMBER Stage 2 Applying Addition and NUMBER Stage 2 Problem Solving a Focus on Addition and NUMBER Stage 2 Applying Multiplication and NUMBER Stage 2 Applying the Four FRACTIONS AND DECIMALS Stage 2 and 3 Fractions and Decimal NUMBER Stage 2 and 3 Mathematical Problem Solving a Focus on NUMBER Stage 2 and 3 Multiplication and Division NUMBER Stage 3 Multi-Step Problem Solving MONEY AND NUMBER Stage 2 Applying Whole Number

3 Concepts and Understanding NUMBER Stage 2 Applying Whole Numbers and Understanding Place NUMBER Stage 3 Understanding Place NUMBER Stage 3 Place Value, the Four Operations and Money FRACTIONS Stage 3 Comparing Fractions Using a Fraction FRACTIONS Stage 3 and 4 Classifying and Finding Fractions of DECIMALS Stage 4 Multiplying Decimals and Money FRACTIONS Stage 4 Comparing MULTI-STEP PROBLEM SOLVING Stage 2, 3 and 4 Applying the Four PATTERNS AND ALGEBRA Stage 1 Introducing PATTERNS AND ALGEBRA Stage 1 Understanding PATTERNS AND ALGEBRA Stage 2 Identifying PATTERNS AND ALGEBRA Stage 2 Problem Solving Involving PATTERNS AND ALGEBRA Stage 2 Exploring Number PATTERNS AND ALGEBRA Stage 3 Patterns and PATTERNS AND ALGEBRA Stage 3 Table of Values and the Cartesian PATTERNS AND ALGEBRA Stage 3 Analysing and Continuing GEOMETRY Stage 1 Spatial Visualisation.

4 Geometric Reasoning and GEOMETRY Stage 2 Understanding Geometry and Applying 2D GEOMETRY Stage 4 MEASUREMENT Stage 2 Length and 2D MEASUREMENT Stage 3 Understanding Measurement and Applying Length MEASUREMENT Stage 3 Volume and NSW Department of Education 2017 | **NUMERACY** **activities** and **lesson** Sequences K-10 3. DATA Stage 2 Displaying DATA Stage 2 and 3 Displaying and Interpreting DATA Stage 2 and 3 Interpreting and Displaying CHANCE Stage 3 Understanding Chance and DATA Stage 3 and 4 Displaying Data, Sector DATA Stage 4 Interpreting and Representing Data DATA Stage 4 Understanding Statistical Surveys and Data DATA Stage 4 Variables, Data Analysis and PROBABILITY Stage 4 Understanding PROBABILITY Stage 4 Statistics and Probability Across the **NUMERACY** Across the Curriculum KEIRA HIGH SCHOOL.

5 PROBLEM SOLVING Stage 3 and KURRI KURRI HIGH SCHOOL. COMPARING SIZE OF COUNTRIES Stage 4 LOTE ..327. COLOUR MIXING RATIOS Stage 4 KING RICHARD III DOT PLOTS Stage 4 DATA PERSPECTIVE ON SOURCES Stage 4 DATA BERTIE BOTT'S GRAPHING Stage 4 FRACTIONS AND DECIMALS POISONOUS POTIONS Stage 4 DECIMALS Stage 4 Operating with FRACTIONS Stage 4 Operating with MEASUREMENT Stage 4 Converting PERCENTAGES Stage 4 Operating with TIME ZONES Stage 4 Calculating LITHGOW HIGH SCHOOL. DOT PLOTS Stage 4 Analysing and Interpreting TRANSLATIONS IN THE CARTESIAN PLANE Stage ALGEBRAIC TECHNIQUES Stage 4 Algebraic MULWAREE HIGH SCHOOL.

6 RATES AND RATIOS Stage 4 Unit RATES AND RATIOS Stage 4 Comparing RATES AND RATIOS Stage 4 Best NAREENA HIGH SCHOOL. MONEY Stage 3 Money Addition and 4 NSW Department of Education 2017 | **NUMERACY** **activities** and **lesson** Sequences K-10. TAREE HIGH SCHOOL. FRACTIONS Stage 3 and 4 Understanding VOLUMES Stage 3 Investigating Volume of RATIO Stage 3 and 4 Proportional WINGHAM HIGH SCHOOL. DECIMALS Stage 4 Decimal DATA Stage 4 Calculating PERCENTAGES Stage 4 Calculating Price Increase and GEOMETRIC FIGURES Stage 4 Reflection, Rotation and GALSTON HIGH SCHOOL. **NUMERACY** GUIDE 1 Stage 4 Fractions, Decimal and **NUMERACY** GUIDE 2 Stage 4 Examples of Fractions, Decimal and **NUMERACY** GUIDE 3 Stage 4 Spatial Visualisation, Geometric Reasoning and **NUMERACY** GUIDE 4 Stage 4 Measurement and Time **NUMERACY** GUIDE 5 Stage 4 Mental Computation and Numerical FITNESS TESTING GRAPHICAL REPRESENTATION AND DATA ANALYSIS Stage 4 SMOKING CALCULATIONS APPLYING ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION.

7 Stage 4 ATHLETICS UNDERSTANDING AND APPLYING LENGTH CONCEPTS Stage 4 RISKY SITUATIONS - UNDERSTANDING AND APPLYING LENGTH CONCEPTS Stage 4 HEALTHY EATING PLAN - INTERPRETING AND ANALYSING DATA Stage 4 PARTICIPATION IN SPORT AND RECREATION INTERPRETING AND ANALYSING DATA Stage 4 APPLICATION OF MEASUREMENT MEASUREMENT Stage 4 PENCIL BOX - APPLYING CONCEPTS OF ANGLES, GEOMETRY AND 2D SHAPES Stage 4 CHICKEN SAUSAGE ROLLS - APPLYING ADDITION, SUBTRACTION, MULTIPLICATION, DIVISION, APPLYING. FRACTIONS AND DECIMALS Stage 4 JAPAN UNDER THE SHOGUNS CONSTRUCTING TIMELINES Stage 4 UNDERSTANDING CONTOUR LINES SPATIAL VISUALISATION, GEOMETRIC REASONING AND MAPPING.

8 Stage 4 TESTING REACTION TIME INTERPRETING AND ANALYSING DATA, CALCULATING MEAN AND INVESTIGATING. OUTLIERS Stage 4 CALCULATING DOSAGE MASS VOLUME, RATES AND RATIO Stage 4 Science and FEEDING AND GROWING PIGS; SLAUGHTER AND SELLING DISPLAYING AND INTERPRETING DATA. Stage 4 Science and OIL BURNER MEASUREMENT AND VOLUME Stage 4 Visual CALCULATING DISTANCE USING RATIO SCALE ON A MAP MAPPING, SCALE AND RATIO Stage 4 CROOKWELL HIGH SCHOOL. ISNIP EQUIVALENT FRACTIONS Stage 3 and NSW Department of Education 2017 | **NUMERACY** **activities** and **lesson** Sequences K-10 5. INTRODUCTION.

9 This resource contains a collection of **NUMERACY** **activities** and teaching sequences to enhance and improve student **OUTCOMES** in **NUMERACY** . All the **activities** were implemented in classrooms and students showed significant improvement in **NUMERACY** **OUTCOMES** . Students were pre-tested and post-tested using NAPLAN questions and extended response questions. Students were asked to explain how they solved the problems and explain thinking strategies. Student work samples were analysed and the data used to inform and guide teaching. The syllabus areas covered by the **activities** were areas where students performed below state average in NAPLAN and teachers identified as common problem areas.

10 THE TEACHING AND LEARNING CYCLE. Explicit and systematic teaching and learning will best occur when teachers follow the process articulated by the teaching and learning cycle. The teaching and learning cycle represents the four stages that occur in the design and delivery of classroom tasks that incorporate an **OUTCOMES** -based approach. The cycle has no start or end point, with each step informing the next. It is the process of gathering data and reflection that indicates where in the cycle you are operating. What do I want n on tio my students go ua in l to learn?