NAR Project CfE Level 4 Algebra

1. Cooperative Learning NAR ProjectCfE Level 4 Algebra Monica Kirson, Maths Teacher Our Lady’s High School, Cumbernauld, NL Mathematics Association 2011 Conference Saturday 17th September 2011

2. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate & Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

3. Cooperative Learning Assessment practice will follow and reinforce the curriculum and promote high quality learning and teaching approaches. Assessment of children’s and young people’s progress and achievement during their broad general education to the end of S3 will be based on teachers’ assessment of their knowledge and understanding, skills, attributes and capabilities, as described in the experiences and outcomes across the curriculum. Building the Curriculum 5: A Framework for Assessment

4. Cooperative Learning 5 Basic Elements - cooperative learning structure Positive Interdependence = you cannot complete task alone Individual Accountability = you have to learn the task Face to Face Interaction = discuss/work close together Social Skills = the behaviour expectations Group Processing = assessing your contribution & understanding

5. Cooperative Learning Positive Interdependence …..Aim of Lesson …..Verbal Praise Throughout …..Shared …..Maths Jobs to be done …..Teacher Controls Time …..Sitting/Standing/Mingling • Goal • Reward • Resource • Role • Sequence • Simulation • Outside Force • Environment • Identity ✔ ✔ ✔ ✔ ✔ ✔

6. Cooperative Learning Having explored the Distributive Law in practical context, I can simplify, multiply and evaluate simple algebraic terms involving a bracket. MTH 4-14a

7. Cooperative Learning Commutative, Associative & Distributive Laws Commutative Law a + b = b + a a × b = b × a Associative Law a + (b + c) = (a + b) + c (a × b) × c = a × (b × c) Distributive Law a (b + c) = a × b + a × c)

8. Cooperative Learning • When listening and talking with others • for different purposes, I can: • Communicate detailed information, ideas or opinions • Explain processes, concepts or ideas with some • relevant supporting detail • Sum up ideas, issues, findings or conclusions. • LIT 4-14a

9. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate & Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

10. Cooperative Learning Activity 1 “Mix Pair Challenge” Academic Task : I Can multiply brackets by a number I Can multiply brackets by a letter I Can challenge/help my partners Social Skills : To Use Encouraging Phrases To Check for Understanding

11. Cooperative Learning Activity 1 “Mix Pair Challenge” • Learners make their own distinct set of ‘flash cards’ (algebraic expression with brackets on one side and the expanded version without brackets on the reverse) • In teams of 3 or 4, Learners check each other’s cards • Learners form random pairs standing around the class • Learners take turns to challenge/support each other • Learners explain to each other HOW to multiply out the brackets to give the answer on the reverse of the ‘flash card’. • Evidence = Short Video Clips (2 to 3 minutes) • & Transcripts of Learners’ Explanations

12. Cooperative Learning Activity 1 - extension“Mix Pair Challenge” Learners chose to extend this task by offering their partner the algebraic expression without brackets and asking them to give the corresponding algebraic expression withbrackets.

13. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate&Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

14. Cooperative Learning Activity 2 “Simultaneous Rotate & Check” Academic Task : I Can Simplify Algebraic Expressions With Brackets I Can Write Out My Stages Accurately Social Skills : To Use My Best Handwriting To Check Each Other’s Work

15. Cooperative Learning Activity 2 “Simultaneous Rotate & Check” • Working in teams of 3 or 4, Learners follow instructions: • copy the algebraic expression, rotate jotters, check the new jotter • on the new jotter write out the next stage of algebra (which involved multiplying out a bracket), rotate jotters, check the next new jotter • on the next new jotter simplify the algebraic expression, rotate jotters, check the new jotter • Learners continue working in this manner supporting each other as needed, stopping to discuss differences when necessary and giving encouragement and positive feedback throughout. • Evidence = Photographic & Short Video Clip

16. Cooperative Learning Activity 2 “Simultaneous Rotate & Check”

17. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate & Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

18. Cooperative Learning Activity 3 - “Show-Me-Boards & Peer Evaluation” Academic Task : I Can Simplify Algebraic Expressions I Can Share My Solution I Can Discuss All Solutions I Can Agree On The Best Solution Social Skills : To Use Encouraging Phrases To Reach Consensus

19. Cooperative Learning Activity 3 - “Show-Me-Boards & Peer Evaluation” In teams of 3 or 4, all Learners answer the given question simultaneously in their jotters, on multiplying and simplifying an algebraic expression, share their solutions, discuss and agree on the best solution, write the best solution on the “show-me board” to be presented as their team’s response. (This process was repeated for solving an algebraic expression) Evidence = Audio, Video & Photographic

20. Cooperative Learning Activity 3 - “Show-Me-Boards & Peer Evaluation” Audio clip of Learners 1&2 discussing the algebraic skills needed to simplify, 7 – 2 (x – 3) + 5x 7 - 2x + 6 + 5x 13 + 3x

21. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate & Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

22. Cooperative Learning Activity 4 “Walk About Talk About” Academic Task : I Can Simplify Algebraic Expressions I Can Share My Solution others I Can Discuss All Solutions I Can Agree On The Best Solution Social Skills : To Use Encouraging Phrases To Check for Understanding

23. Cooperative Learning Activity 4 “Walk About Talk About” Learners follow instructions to write out their full solution to the given algebraic expression on a show-me board or in their jotters. Learners are then instructed to meet up with 5 different people out-with their group. Each pair compare solutions, check each stage of working, agree on the best layout and make changes to their solution as appropriate. Learners copy their final version into their jotters. Evidence = Short Video Clips & Photographic

24. Cooperative Learning Activity 4 “Walk About Talk About”

25. Cooperative Learning Activity 5:“Speed Dating” Academic Task : I Can Evaluate Algebraic Expressions I Can Share My Solutions I Can Discuss All Solutions I Can Agree On The Best Solution Social Skills : To Reach Consensus To Use Good Meeting & Greeting

26. Cooperative Learning Activity 5:“Speed Dating” Learners follow instructions to work with lots of different partners in turn around the class. Learners introduce themselves and share their favourite colour then everyone simplifies the first algebraic expression. Pairs compare and discuss answers, making changes as appropriate. Learners thank their partners and move onto their next partner as instructed. This process was used to complete lots of different tasks involving multiplying, simplifying and evaluating algebraic expressions. Evidence = Short Video Clips

27. Cooperative Learning Activity 6 : “Graffiti Boards” Academic Task : I Can “Thought Shower” My Ideas For Each Topic Header Social Skills : To Work In Silence To Stay With My Team

28. Cooperative Learning Activity 6 : “Graffiti Boards” Preparation Homework Task– Learners had to ask an adult or use the internet or read books to find out why we use Algebra in the world today? Working in teams of 3 or 4 Learners contributed to Grafitti Boards to write down what information they discovered. Evidence = Photographic

29. Cooperative Learning Activity 6 : “Graffiti Boards”

30. Cooperative Learning Activity 6 : “Graffiti Boards”

31. Cooperative Learning Agenda Activities Maths Content Mix Pair Challenge - Multiplying Out Brackets Simultaneous Rotate & Check- Simplifying Algebraic Expressions Show-Me Boards- Peer Assessment/Algebra Walk About Talk About - Peer Assessment/Algebra Speed Dating - Simplifying Algebraic Expressions Graffiti Boards - Consolidate Homework Task

32. Cooperative Learning Thank You Thank you for your time and attention Please thank everyone who has supported your learning today

33. Cooperative Learning Contact details: Monica Kirson Maths Teacher kirsonm@ourladys.n-lanark.sch.uk