Working together to improve teaching & learning
Leagan Gaeilge

We are delighted to announce that the Maths Development Team will continue support for

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Last year **250+ maths teachers** from **110 Irish schools** participated in our *Lesson-Study* programme, culminating in a festival of teaching and learning at Maths Counts 2017. This year we want you to join the growing number of participating teachers.

If you participated last year, we’d love to have you back leading *Lesson Study* in 2017-2018, bringing your experience to our new members. If you haven’t participated in *Lesson Study* before now is the time to sign up, get your school involved and learn what makes *Lesson Study* such a worthwhile approach to professional development.

We’re inviting all new participants to attend our three days induction programme in September 2017, so that you”ll be prepped and primed to get *Lesson Study* up and running in your own school in 2017-2018.

Induction training will provide an introduction to the process of *Lesson Study* and equip teachers with the knowledge and skills to implement structured problem-solving through *Lesson Study* in their own schools.

This year, to make *Lesson Study* more accessible to all mathematics teachers, we’re planning to hold our induction training at three venues around the country. These are:

- Dublin
- Carrick-on-Shannon
- Limerick

Induction training will take place at these venues over three days (September 27th – 29th) and **substitution will be provided** for those teachers who attend.

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Lesson Title | Description | Strand | Year Group | Level |
---|---|---|---|---|

Prof. Takahashi’s Lesson Proposal | Through a series of problems, students learn about the conditions required for congruency (includes student worksheets). | Geometry | 1st, 2nd | Common |

Introducing Differential Calculus | Developing an understanding of key calculus concepts using rates of change. | Functions | 6th | OL |

The Polygon Predicament | Connecting multiple mathematical topics to solve a geometric problem. | Algebra, Functions, Geometry, Number, Probability | 6th | HL |

The Perfect Selfie | Using geometry and trigonometry to solve a 3D problem. | Geometry, Trigonometry | 5th | HL |

Developing Frieda’s Field | Developing the formula for the area of a non-right-angled triangle. | Geometry, Trigonometry | 5th | OL |

Enter the Matrix | Solving a multi-variable problem using many methods. | Algebra | 5th | OL |

The General Term of a Quadratic Pattern | Using multiple strategies to develop the formula for a quadratic relationship. | Algebra, Functions | 5th | OL |

Heading for Trouble | Learning how to deal with a two-variable problem where one relationship is noon-linear. | Algebra | 5th | OL |

Navigating an Ash Cloud | Drawing on algebra, geometry and trigonometry to solve a problem. | Algebra, Geometry, Trigonometry | 5th | HL |

The Water Rocket | Analysing quadratic relationships using multiple strategies. | Algebra, Functions, Number | 5th | HL |

What makes a Parallelogram | Using trigonometry & geometry to calculate the area of a parallelogram. | Geometry, Trigonometry | 5th | OL |

Tick Tock – Area of an Incircle | Use the properties of an equilateral triangle to find the area of its incircle. | Geometry, Trigonometry | 5th | HL |

Seeing through the Dab | Applying trigonometry to solve a 3D problem. | Geometry, Trigonometry | TY | Common |

Decoding De Moivre | Understanding the concepts of rotations and scales which underpin De Moivre’s Theorem. | Algebra, Number, Trigonometry | TY | Common |

How many ways can you prove It? | Understanding the construction of the bisector of an angle. | Geometry, Trigonometry | 3rd | HL |

Centre of a Rectangle | Students draw on many topics to find the centroid of a rectangle. | Geometry, Trigonometry | 3rd, 5th | HL, OL |

Comparing Percentages, Decimals & Fractions | Calculate the percentage and fraction of a number in many ways. | Number | 3rd | OL |

Coordinate Geometry meets Synthetic Geometry | Using coordinate geometry, theorems, corollaries and constructions to show a quadrilateral is a rectangle. | Geometry, Trigonometry | 3rd | HL |

Picture this Quadratic | Modelling images using quadratic functions and understanding the importance of roots. | Algebra, Functions | 3rd | HL |

Transformation Trickery | Applying knowledge of transformations for problem-solving. | Geometry | 3rd | HL |

3D Cubes | Identifying right-angled triangles in 3D solids to solve problems. | Geometry, Trigonometry | 3rd | HL |

Anyone for Pizza – Solving Simultaneous Equations | Modelling problems with simultaneous equations and how elimination can be used to solve them. | Algebra | 2nd | HL |

Coffee and Tea Simultaneously | Solving a two-variable problem using different techniques. | Algebra, Geometry | 2nd | HL |

An Average Problem | Understand the properties of different measures of average. | Statistics | 2nd | HL |

The Cookie Crumbles | Moving from area to volume in a uniform solid. | Number | 2nd | OL |

Into the Next Dimension | Understanding the relationship between cross-sectional area and volume for a uniform solid. | Number | 2nd | OL |

Equivalent Fractions | Students learn to compare fractions using graphical methods. | Number | 2nd | OL |

More Pizza for me | Using scaling to compare different quantities fairly. | Number | 2nd | OL |

Pragmatic Quadratic | Calculating the area of a shape with unknown dimensions. | Algebra, Functions | 2nd | HL |

Rich, Happy, Healthy or Famous | Using Census @ School data to compare methods for analysing data. | Statistics | 2nd | Common |

Roots and Shoots | Calculating the dimensions of a shape given its area in general terms. | Algebra, Functions | 2nd | HL |

Tri to be Shady | Using many approaches to calculate an unknown area. | Geometry, Number | 2nd | HL |

The Window Maker | Using two-variable problems to develop simultaneous equations. | Algebra | 2nd | HL |

Grazing Gazelles | Discovering Pythagoras’s Theorem. | Geometry, Trigonometry | 2nd | OL |

Tin of Beans | Using the concept of cross-sectional area to change area of a circle into volume of a cylinder. | Number | 2nd | HL |

Translating Words into Symbols | Using different operations to develop the same number. | Algebra, Number, Probability | 1st | Common |

An Alternative Approach to Alternate Angles | Problem solving to demonstrate that alternate angles are equal in measure. | Geometry | 1st | Common |

Are you Snookered? | Use axioms and theorems to calculate a pair of missing angles. | Geometry | 1st | Common |

Perimeter of an Irregular Shape | Calculating perimeter of a shape with known and unknown lengths. | Algebra, Number | 1st | Common |

Home and Away | Understanding distance-time graphs. | Algebra, Number | 1st | Common |

A Tough Climb | Understanding the concept of slope. | Geometry, Trigonometry | 1st | Common |

Mary’s Age | Applying linear equations to problems. | Algebra | 1st | Common |

Perfecting Percentages | Understanding the usefulness of percentages in understanding proportion. | Number | 1st | Common |

Count the Sweets | Students apply algebraic reasoning to problem-solve a linear relationship. | Algebra, Number | 1st | Common |

The Chocolate Challenge | Using equivalent fractions to decide which unit quantity is greatest. | Number | 1st | Common |

The Great Hall | Using linear relationships to develop algebraic thinking. | Algebra | 1st | Common |

The Problem with Cats & Dogs | Learning to use Venn Diagrams as a problem-solving tool. | Number | 1st | Common |

What’s your Angle? | Applying knowledge of axioms and theorems to calculate missing angles. | Geometry | 1st | Common |

Working with Fred Pattern-Son | Using a visual pattern to introduce linear relationships. | Algebra | 1st | Common |

Introducing Algebra & Word Equations | Applying algebraic reasoning to in-context problems. | Algebra | 1st | Common |

Let’s think about BIDMAS | Applying order of operations to generate different numbers. | Number | 1st | Common |

Dogs do Patterns | Using a real-life problem to develop an understanding of linear relationships. | Algebra, Number | 1st | Common |