Stage 6 Math 2A: Unit 4 Process Numbers - Syllabus, Objectives & Plan

This document presents a comprehensive syllabus solution for Math 2A, Stage 6, Unit 4, focusing on process numbers. The unit covers subtraction, including practical applications like shopping and three-digit subtraction, mathematical reasoning involving missing and opposite numbers, shapes, and matching numbers, and completing equations through statistics and multiplication. Collaborative learning is emphasized through percentages and order of operations. The syllabus incorporates various teaching and learning strategies, including group work, real-life situations, and digital tools, to cater to diverse learning needs and promote student engagement. It also includes a reflection on motivational factors, skills outcomes, and the integration of literacy, numeracy, and ICT in the classroom. The document also suggests scaffolding methods to support student development and continuous education, alongside a curriculum focused on key topics for a strong foundation in mathematics. Desklib offers a variety of study tools to support students learning this material.

Stage 6 syllabus 1
Math 2A

Math 2A 2
UNIT 4 PROCESS NUMBERS
Course Target: 15-18 year olds in stage 6 of Year 11-12
Number of Weeks: four
Number of Lessons: three
Number of hour/lesson: one
Unit Outline
Subtraction………………………………………………………………….
Missing and Opposite Numbers…………………………………………..
Completing Equations………………………………………………………..
Collaborative Learning………………………………………………………..
Collaborative Learning………………………………………………………….
Learning Objectives
 Preparation for tertiary Math
 Expound on number words
 Evaluation of patterns and repetition
 Advanced counting sequence
 Estimations and number operation
 Introduction to complex additions, subtractions, and reasoning.
Level 6 Key Concepts
 Complex numbers ( three digit numbers)
 Subtraction and Addition using digital calculators
 Extension of fractions, decimals, numeracy
 Decimals and fractions
 Process numbers ( addition, subtraction, multiplication, dividing )
Curriculum Focus
 Australian Professional Standards for Teachers (2018)
 Professional practice
 Mathematical concepts and a well-developed learning plan
 Interesting learning experience
 NSW educational standards for stage 6
 Australian educational policies and priorities
 The Australian Curriculum
Creativity, ICT and Group Activities
 Working with objects
 Concepts and interactive activities
 Physical and social activities that engage the child
 Innovative, coherent and student centered approaches
 Improved literacy, numeracy and enhanced thinking
 Reflective approach, through a wide range of tasks and examples

Math 2A 3
Week 1: Subtracting
Lesson 1: Subtraction and shopping
Objectives: Use of teaching models to create differentiation, subtraction, and guided calculations.
Content
Subtract and make calculations from basic math in the financial world. Borrow money, pay and
count using shillings and cents. Purchase items and make a budget using online shopping
Teaching and Learning Strategies
 Evaluate students ability from beginner K-10
 Introduce student to practical lessons in financial math
 Develop the learners ability to make financial decisions from financial situations
 Illustrate the concept of deductions for shillings and cents
Resources
 Online shopping sites
 Subtraction exercises
 Time testing
 Repetition
Lesson 2: Three digit subtraction
Objectives: Improve student’s subtraction using tens, hundreds and thousands. Engage the
learner in complex subtraction using number sentences
Content
Make three-digit subtraction using real life situations. Create differentiation by grouping in place
value and regrouping.

Math 2A 4
Teaching and learning strategies
 Use mathematical tasks with three digit numbers
 Use of a borrowing game for subtraction of whole numbers
 Experience subtraction and introduction to worksheet
 Independent learning with column numbers
 Mental subtraction of simple and complex numbers
Resources
 Number tasks
 Digital gaming
 Subtraction tables and worksheets
Lesson 3: Group Work
Objectives: To engage the student in interactive learning using cultural items in solving
subtraction problems using real life situations.
Content
Encourage student participation in groups of two with real life situations. Recap of subtraction
facts, and terminology.
Teaching and Learning Strategies
Use formal assessment and group discussions to assess student’s ability in writing and solving
subtractions. Encourage interpersonal skills and teamwork in problem solving. Support the
student in regrouping and use of mathematical vocabulary.
Resources
 Colorful cultural beads
 Subtracting worksheet

Math 2A 5
 Group activities
Week 2: Mathematical Reasoning
Lesson 1: Missing and opposite Numbers
Objective: To solve mathematical problems through mathematical reasoning
Content
 Solving practical issues through critical thinking
 Using physical objects to count and apply mathematical concepts
 Solving through process
 Incorporating math skills in life
 Mathematical reasoning
Teaching Strategies Stage 6 Mathematical Life Skills for student development and participation (NSW, 2017) Application of mathematical operations in practical situations and conceptualization Maths practice for improved mindsets and motivation. Blended learning for integrated
maths
Resources
 Stage 6 Mathematics books
 Monitoring tools
 Formative assessment and evaluation
Lesson 2: Shapes and sizes
Objective: To incorporate actionable data in instructional learning for developing minds.
Evaluate shapes and patterns, geometry properties, circumference and area.

Math 2A 6
Content
 Patterns, relationships and shape functions
 Similarities and differences in shapes ( 3 sided and 4 sided shapes)
 Interactive lessons on perimeter and area of basic shapes
 Axial symmetry and angles
Learning Strategies
 Use of classroom creativity and instructional design
 Use of observation and modification of lesson plan for effective response
 Physical objects-shapes and measurements ( circles, squares, and rectangles )
 Reasoning through logic and generalization
Resources
 Themed illustrations
 Art and craft shapes for illustrations
 Instructional course book
 Multiple choice questions
Lesson 3: Matching Numbers
Objectives: Allow the students to make sense with numbers through simulations. Use videos to
demonstrate number games with figures and complex numbers
Content
 Understanding of key Math concepts as stated in standard grade exams
 Calculating and use of numbers in measurement
 Tailor made questions for individual understanding and progress tracking

Math 2A 7
Learning Strategies
 Continuation of K-10
 Introduction of Year 11 standard Math
 Use of procedure in memorizing and formula for mental connection
 Conceptualization and exploration of math strategies
Resources
 Standard grade exams
 Math extension 2 Stage 6
 Proficiency strands
 Content strands (Acara, 2009)
Week 3 Completing Equations
Lesson 1: Building statistics
Objectives: To learn how to borrow, and complete the equations through probability and
statistics.
Content
 Multiple digit numbers and distribution
 Subtracting in tens and thousands
 Multiple digit subtraction
 Justification of numbers through multiplication solution
Learning and Teaching Strategies
 Providing a pathway for secondary level mathematics
 Explaining mathematical applications
 Creating relationships between complex numbers

Math 2A 8
 Reasoning with numbers and multiplication
 Informal assessment and giving inferences from deduction
 Group discussion on different applications
Resources
 Group discussion
 Classroom practice
 Assorted YouTube videos (Monk, 2017)
 Correlation and causation data
Lesson 2: Multiplication numbers
Objectives: Understand multiplication of 3-5 digit with a 2-4 digit number. Assist the student in
improving learning in preparation for higher education.
Content
 Multiplication and skip counting
 Connecting multiplication and additions
 Solving everyday problems
 Integers and decimals
Learning and Teaching Strategies
 Demonstrate knowledge and skill in multiplication of sets
 Interpret information from language and mathematical solutions
 Evaluate individual students achievement in previous stage
 Apply working math in real life context
 Identify opportunities in mathematical methods and models for application (Harman,
2014)

Math 2A 9
Resources
 Multiplication tasks
 Sample assessments
 Multiplication worksheets (Homeschoolmath, 2003-2015)
 Syllabus outcome expectations
 Skip counting charts
Lesson 3: Advanced level Division
Objectives: To introduce the student to long division in preparation for higher learning
Content
 Long division
 Opposite operations
 Solving multiplication and divisions
Teaching and Learning Strategies
 Arranging and building division categories
 Reflection of division activities in number strategies
 Mental computations and patterns
 Repeating divisions with remainder strategies
Resources
 Common grade scale
 Changes to Stage 6 Assessment from 2018
 Sample Units
 Formal ( school based assessment

Math 2A 10
Week 4 Collaborative Learning
Lesson 1: Percentages
Objectives: Engage learners in practical tasks involving percentile math. Connect
previous level lessons on fractions with percentage calculations.
Content
 Diagrams and percentage techniques
 Digital diagrams representing percentages
 Transforming decimals and fractions into percentages
Teaching and Learning Strategies
 Integration of mixed numbers with fractions for comprehensive skills
 Generation of mathematical solutions through multiple strategies
 Interpretation of numbers through problem solving
 Plotting, reasoning and communicating fractions accurately
 Subtracting fractions and making complex operations as fractions
Resources
 Students work book
 Students learning groups
Lesson 2: Order of operation
Objectives: To elaborate the order of numerical operations in arithmetic. Compare and contrast
concepts in practical application. Follow up on previous lesson for an emphasis on concepts
Content
 Converting fractions as percentages of decimals and vice versa
 Multiplication verses divisions

Math 2A 11
 Additions and subtraction of multiples
 Increase and decrease of percentages
Teaching and Learning Strategies
 Use of calculator methods for expressing percentages
 Engaging the learner in comparative measures of written and mental numbers
 Calculating increase in numbers and decreases
 Interpretation of numbers through trends and values
 Analyzing the ability to identify recurrence in numbers and sub strand relevance
Resources
 K-10 Mathematics
 Unit workbooks
 National Numeracy Learning Progression (NSW syllabus)
Lesson 3: Student learning needs
Objectives: To project the student assessment
Content
 Understanding money mattaers (National Numeracy Learning, 2018)
 Operating with numbers
 Intepreting numbers in real life
Teaching and Learning Strategies
 Students ability to grasp basic concepts in numbers
 Students ability to advance in learning math
 Strategic positioning for higher learning through a strong foundation

Math 2A 12
 Comparative analysis of the learners progress in Math
 Successful application of elements and sub elements
Resources
 NSW syllabus
 Student assessment tasks
 Course learning objectives and outcome