Math 2A Unit 4: Process Numbers for Stage 6 Year 11-12

Stage 6 syllabus 1

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

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.

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

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.

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