General Description

 Algebra and the introduction of variables can be a challenging concept for many students. Using concrete materials can help students to get a ‘feel’ for what we are doing when we ask them to – collect like terms, manipulate an algebraic expression and to solve equations. Concrete materials (or manipulatives) can be found in classrooms in the lower primary years but often disappear as students get older, giving students the impression that they are ‘babyish’ and that it is more ‘grown-up’ to manage without them. Algebra Tiles are a simple manipulative that can help develop students’ understanding and confidence with algebra, at many different levels. In this course we will work through a sequence of lessons from adding and subtracting integers to completing the square. There will be short video demonstrations and explanations throughout.

 

Audience

 This course is for all teachers of mathematics with a particular emphasis on those teaching Years 5 – 10


Teaching Standards

 1.5.2 Proficient Level - Know students and how they learn - Differentiate teaching to meet the specific learning needs of students across the full range of abilities: Develop teaching activities that incorporate differentiated strategies to meet the specific learning needs of students across the full range of abilities.

2.1.2 Proficient Level - Know the content and how to teach it - Content and teaching strategies of the teaching area: Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities.

3.3.2 Proficient Level - Plan for and implement Effective Teaching and Learning - Use teaching strategies: Select and use relevant teaching strategies to develop knowledge, skills, problem-solving, and critical and creative thinking.

3.5.2 Proficient Level - Plan for and implement Effective Teaching and Learning - Use effective classroom communication: Use effective verbal and non-verbal communication strategies to support student understanding, participation, engagement and achievement.

 

Are you in NSW? If so, this is relevant for you

This course may contribute towards Elective PD hours. Visit https://educationstandards.nsw.edu.au for more details.

Course curriculum

  • 1

    Module 1 - Introduction

    • Introduction

    • Welcome and Meet the Presenter

    • Course Outline

  • 2

    Module 2 - The Concrete, Representational, Abstract Model

    • The CRA Model

  • 3

    Module 3 - What are Algebra Tiles?

    • What are Algebra Tiles?

    • What do Algebra Tiles look like?

    • Making or Buying Algebra Tiles

    • Reflection Task

  • 4

    Module 4 - Building Algebraic Expressions

    • Integer Operations

    • The Area Model

    • Building Algebraic Expressions

    • Building Algebraic Expressions - Points to Note

    • Substitution

    • Reflection Task

    • Australian Curriculum Links

  • 5

    Module 5 - Solving Linear Equations

    • Numberless Word Problems

    • Solving Linear Equations

    • Reflection Task

    • Australian Curriculum Links

  • 6

    Module 6 - Multiplying and Factorising

    • Quadratic Expressions

    • The Area Model

    • Multiplying Two Linear Expressions

    • Factorising a Linear Expression

    • Factorising a Quadratic Expression

    • Reflection Task

    • Australian Curriculum Links

  • 7

    Module 7 - Other Advanced Topics

    • Exploring more Advanced Algebraic Concepts

    • Dividing A Quadratic Expression by a Linear Factor

    • Perfect Squares

    • Reflection Task

    • Australian Curriculum Links

  • 8

    Module 8 - Conclusion

    • Takeaways

    • Reflection Task

    • References

  • 9

    Course Feedback

    • Course Feedback

Features of TTA Online PD

  • Availability

    Online courses are available 24/7. Designed to be done in your own time at your own pace.

  • Team Online

    All online courses are available for team purchase. Unlimited teachers from the one Campus for any course for $990 + GST

  • Money back Guarantee

    If you complete less than 25% of an online course and aren't completely satisfied, let us know, and we will cancel your enrolment and provide a full refund.