Divide and Conquer |
Understanding long division of polynomials |
Algebra, Functions |
2nd |
OL |
Step by Step |
Students use physical manipulatives to derive and understand the cosine rule |
Trigonometry |
5th |
HL |
What’s the point? |
Students make connections between linear patterns , coordinate geometry and real world scenarios |
Geometry |
1st |
Common |
What’s The Meaning Of Z-scores |
Students build on their prior knowledge of mean and standard deviation to understand and use z scores |
Probability, Statistics |
TY |
HL |
Top Dog Area |
Students deduce different shapes from a word problem using different area and perimeter formulae. Connections are made between trigonometry and generalisation using algebraic notation. |
Algebra, Geometry, Number |
5th |
OL |
Simultaneous Shapes |
Students progress from the concrete, to the pictorial, to the abstract, solving simultaneous equations using multiple strategies. |
Algebra, Functions |
2nd |
HL |
Missing In Action |
Students use the idea of equality to form, interpret and solve equations. Students are asked to describe, explain and justify their method for doing this. |
Algebra, Functions |
1st |
Common |
Looks Different, Same Value |
Students develop a deeper understanding of equivalent fractions and add and subtract algebraic fractions. |
Algebra, Functions |
2nd |
HL |
Explain that Formula |
Students explore properties of 3-dimensional shapes and use nets to understand where the surface area formula of a cylinder comes from. |
Number |
5th |
OL |
Across the divide |
Students work on real life word problems where the operation of division is presented in different ways |
Number |
2nd |
Common |
It’s Show Time |
In this lesson, students will try to solve problems relating to time, and to enhance their understanding and reading of time. |
Number |
1st |
OL |
What’s your Angle? |
Pupils will be presented with 2 parallel lines and 5 points (A, B, C, D and E). Angle ABC is 110 ̊ and CDE is … |
Geometry, Trigonometry |
3rd |
HL |
Percentage Paradox |
Structured problem solving lesson involving multiple approaches to a direct proportion percentages problem. Misconceptions around percentage equations are addressed leading to considering an algebraic approach. |
Number |
1st |
Common |
A Pizza of the (Fr)Action |
Students are given a problem to consolidate their learning of adding fractions and to apply this to the addition of fractions with a variable. |
Algebra |
1st |
Common |
What about Parallelograms |
Exploring properties of parallelograms using various approaches and looking for connections between these approaches |
Geometry |
1st |
Common |
Thinking Outside the Triangle |
Using a given diagram to lead students to the discovery of the proof that the exterior angle in a triangle is equal to the sum … |
Geometry |
1st |
Common |
The Volume of Money |
Through discovery, students derive the formula for the volume of a cylinder. This is achieved through examining the area of a circle (2D) and linking … |
Number |
2nd |
HL |
The X Factor |
Exploring different ways to represent factorisation of a single algebraic term leading to factorising a two term linear expression. |
Algebra |
1st |
Common |
The Power that Lies Beneath |
Using Assessment for learning techniques of multiple choice diagnostic testing and effective questioning to explore index rules |
Number |
2nd |
HL |
The Array Model |
Using the Array Model to factorise quadratic expressions. This proposal includes a unit plan for expanding and factorising in algebra and making important connections. |
Algebra |
2nd |
HL |
Straight to the nth Game |
Using a problem question to develop the general formula for a pattern |
Algebra |
1st |
Common |
Show Me the Money |
Discovering the different measures of central tendency using celebrities as examples |
Statistics |
2nd |
OL |
Scrutinizing the Difference between Two Squares |
This proposal uses the concepts from ‘Algebra through the lens of functions’ to bring students to the discovery of the difference of two squares using … |
Algebra |
TY |
Common |
Run Johnny Run, Maths To The Rescue |
Using prior knowledge of triangles to explore trigonometric ratios and use them to solve problems. |
Trigonometry |
2nd |
HL |
Point Of Pick-Up |
Using prior knowledge of algebra, coordinate geometry, synthethic geometry and constructions the fairest position for a bus stop is to be located from an aerial … |
Geometry |
5th |
OL |
Place Your Pix |
Using the problem of placing a picture in a frame, students discover the difference between two squares |
Algebra |
2nd |
OL |
Matchstick Challenge |
This lesson is based on first year patterns, introducing students to the concept of the general term. |
Number |
1st |
Common |
It’s Show Time |
|
Probability, Statistics |
1st |
OL |
In The Air |
Using a word problem to graph functions |
Functions |
5th |
Common |
How Big Is Pi? |
Using varying circles to discover pi and use this discovery to create the formula for the circumference of a circle using different methods. |
Geometry |
1st |
Common |
Getting To The Problem Of The Root |
Identifying relationships between quadratic equations, roots and graphs |
Functions |
2nd |
HL |
Get Unsnookered |
Using a mix of Geometry, Trigonometry and Coordinate Geometry to solve a real-world problem. |
Geometry, Trigonometry |
5th |
HL |
Forthnightly Maths |
In a computer game context, students will have to identify intersecting points between a line and a curve using a variety of methodologies. |
Functions |
6th |
OL |
Express My Point |
Students will be introduced to the concept of writing mathematical expressions and exploring values for a fixed variable in two league tables. |
Algebra |
1st |
Common |
Equating Fortnite-ly |
Using word problems in algebra to introduce equations |
Algebra |
1st |
Common |
Disco Taxi |
Using a word problem to introduce transformations of quadratic functions and establishing the algebraic representation of the function. |
Functions |
2nd |
Common |
Circling Longitude |
A real life scenario of a drone taking a photo at a music festival is presented. Students are tasked with finding the best possible position … |
Geometry |
5th |
OL |
Car Savings Conundrum |
Students act as a financial advisor and must investigate a number of saving plans to advise their client how long it will take to save … |
Number |
3rd |
FL |
Basket Case |
Introducing simultaneous equations through word problems and solving by graphing |
Algebra, Functions |
2nd |
Common |
All Aboard Quadratic Airlines |
This lesson provokes students understanding of how quadratic graphs relate to their equation and how they can relate to other similar equations |
Functions |
3rd |
HL |
A Journey in Finance |
Modelling a financial problem using a geometric series and investigating the timeline assosciated with payments |
Number |
6th |
HL |
2 or not 2x that is the question |
This lesson provides a physical approach to the understanding of ‘like’ and ‘unlike’ terms. |
Algebra |
2nd |
OL |
A Step in the Right Direction |
This lesson introduces students to trigonometric ratios. |
Trigonometry |
2nd |
HL |
Who is being Irrational? |
After calculating some distances using Pythagoras students will work towards the discovery and understanding of irrational numbers. |
Number |
2nd |
HL |
When Area is 64 |
Students are presented with an area problem and by exploring their solutions they will see that all the information pertaining to the problem may be … |
Functions |
2nd |
Common |
What’s your Angle? |
Through exploring relationships in triangles, students will discover that the exterior angle of a triangle is equal to the sum of the two interior opposite … |
Geometry |
1st |
Common |
Untangles the Angles |
Using various methods students will discover different relationships between the angles in a diagram based on parallel lines. |
Geometry |
1st |
Common |
Unpacking 3D Shapes |
Students will examine a square based pyramid, identify all 2D shapes possible using the points given and find the areas of these shapes. |
Geometry, Trigonometry |
5th |
HL |
Transversals are Copycats |
Given a diagram with three parallel lines and three transversals, students will use their knowledge of geometry to identify existing relationships between pairs of angles, … |
Geometry |
6th |
HL |
Top of the Vlogs |
Students will present two sets of data in graphic form and will learn that there are more than one way to represent data. |
Probability, Statistics |
2nd |
Common |
Time for Telly |
Students will learn to deal with problems of time by solving a problem based on when a film of given duration will end if advertisements … |
Number |
3rd |
FL |
The Trapezoidal Rule |
Students will engage with a problem to find the area of an irregular shape and by doing so will find a formal method for dealing … |
Geometry, Number, Trigonometry |
TY |
Common |
The Story of Two Drones |
Students will be asked to apply their knowledge to solve a real life scenario of two drones on a collision course. |
Geometry, Trigonometry |
5th |
OL |
The Story of the Gannet |
Students will describe the story of a gannet’s dive as represented by a quadratic graph using words, the parameters of height and time and mathematical … |
Functions |
2nd |
HL |
The Integers Cup |
Students will develop understanding of integer operations by solving a problem based on a game of golf. |
Number |
1st |
Common |
The Great Wall of Nenagh |
Problem solving approach to link Patterns, Co-ordinate Geometry and Algebra. |
Algebra, Functions, Number |
2nd |
HL |
The Grand Rational |
Students are given an algebraic fraction and are asked to uncover as many properties of the fraction as they can using algebraic procedures, tables and … |
Functions |
5th |
HL |
The Ex Factor |
Through a problem-solving approach, students find the sum of exterior angles of a triangle in as many ways as possible. |
Geometry |
2nd |
HL |
The Balancing Act |
Introducing Simultaneous Equations through problem solving. |
Algebra |
2nd |
OL |
The Formula Speaks Volumes |
Students will explore the volume formula for cuboids and develop a formula for volume of all prisms leading to the discovery of the formula for … |
Number |
2nd |
HL |
The Flow of Money |
Students will try to solve a tax problem with higher and standard rate of tax, to enhance their understanding of how tax works. |
Number |
2nd |
HL |
Takeaway Translation |
In this lesson students will try to solve a word problem using a variety of methods and will discover that such problems can be solved … |
Algebra |
2nd |
Common |
Subway Substitution |
Students are presented with a menu and asked to use an algebraic expression to describe the bill. |
Algebra |
1st |
Common |
Snowflakes |
Students will be challenged to express repeating linear patterns algebraically. |
Algebra |
3rd |
HL |
Simultaneously solving for two variables |
Students will be given two linear equations with two unknown variables and will be required to solve for the two unknown variables using as many … |
Algebra |
2nd |
Common |
Similar Triangle Wrangle |
Students will be using dotted paper to produce similar triangles and understand that a line parallel to a side produces similar triangles. |
Geometry, Trigonometry |
2nd |
Common |
Shootin’ Hoops |
Students will be provided with a calculus question that requires them to utilize their algebraic knowledge of roots to construct the pathway of a basketball. |
Algebra, Number |
TY |
Common |
Sharing the Unknown |
Students will understand the need for algebraic fractions when dealing with basic real-world problems. |
Algebra, Number |
2nd |
HL |
Run Circles Around Pythagoras |
Students will be asked to find as many Pythagorean pairs when c is 5 leading to the discovery of the equation of a circle. |
Geometry, Trigonometry |
5th |
OL |
Pump Up The Volume |
Students will use various strategies to transform different irregular solids into familiar cuboids and thus calculate the volume. |
Geometry, Number |
2nd |
OL |
The Power of Algebra |
Students will be presented with a simultaneous linear functions problem and encouraged to solve the problem in a variety of ways. |
Algebra |
2nd |
HL |
Plane Clothes |
Students solve a problem on the area of a triangle in as many ways as possible. The solutions help form connections between geometry and coordinate … |
Geometry, Number, Trigonometry |
2nd |
HL |
Percentages Predicament |
Students tackle a percentage increase problem to understand the concept of ‘more than 100%’. |
Number |
2nd |
Common |
Paving Patterns |
Students are encouraged to examine patterns in various ways to derive connections between linear patterns, equations and graphs. |
Algebra, Functions, Number |
3rd |
HL |
Patterns in Polygons |
Students use their prior knowledge of geometry and linear patterns to write a mathematical statement describing the relationship between the sum of the angles and … |
Geometry, Number |
2nd |
HL |
Partying with Indices |
Through an exponential growth problem it is hoped that students will recognise the usefulness of indices in such situations and discover the first law of … |
Number |
2nd |
HL |
Paper Ratio |
Students will be given A3, A4 and A5 sheets of paper and asked to investigate any relationships between them in as many ways as possible. |
Number |
2nd |
Common |
Murling |
Students will work with a real world problem involving establishing the distance from the origin and roots of a quadratic function. |
Algebra, Functions |
2nd |
Common |
Multiplying Messi’s Millions |
In this lesson students will investigate models and use the concept of a “thought experiment” in a real life context to illustrate the operation of … |
Number |
1st |
Common |
Monkey Puzzle |
Students develop an understanding of the properties of fractions through a real-life problem. |
Number |
2nd |
Common |
Meet You Halfway |
Students are given a photograph of Sligo town with a coordinate grid superimposed on it. They are asked to find the location which is halfway … |
Geometry |
2nd |
Common |
Make-Up Money |
Students will solve a problem based on saving money. By discussing the various approaches used it is hoped that students will identify connections between several … |
Algebra, Functions, Number |
2nd |
HL |
M.M.A. Mixed Mathematical Approaches |
Students will formulate the area of the first floor (rectangle) of Conor Mc Gregor’s holiday home in Las Vegas. |
Probability, Statistics |
TY |
Common |
Kevin’s Cash Connundrum |
Students will show in many ways how to represent a word problem which will lead to an algebraic equation. Following this they will solve an … |
Algebra |
1st |
Common |
Katie versus Conor – Who will win? |
Students explore probability and relative frequency by considering who would win in a fight between Katie Taylor or Conor McGregor. |
Probability, Statistics |
2nd |
Common |
Justifying your Thinking |
Students are challenged to explain why one Electricity contract is better value than another by describing a graph of their pricing structures. |
Number |
3rd |
Common |
It’s Thirsty Work |
Students will learn to interpret graphs by investigating the flow of liquid into three different containers. |
Number |
2nd |
HL |
It’s a Matter of Principles |
Students investigate the rate of change of a rocket whose path is modelled by a quadratic function. |
Functions |
5th |
HL |
It’s Moore of a Process |
Students investigate Moore’s Law in order to apply their understanding of Logarithms and Exponential Functions andhow they are related to each other. |
Functions, Number |
5th |
HL |
How much is the special Offer? |
Students will be presented with a real life problem verbally and visually and will learn to recognise how to solve a simultaneous equation using elimination. |
Algebra |
2nd |
Common |
Heavenly Slopes |
Students will engage in structured problem solving to develop their understanding of the “slope” of a line, and of the relationships between the slopes of … |
Geometry, Trigonometry |
5th |
OL |
Going underground on a Roller Coaster |
Students are introduced to quadratic relationships via an in-context problem. |
Algebra, Functions |
2nd |
Common |
Fractions meet Algebra |
Students will learn to apply their knowledge of fractions and equations to the solving of equations involving algebraic fractions. |
Algebra, Number |
2nd |
HL |
Elf on the Shelf |
Students will use their knowledge of trigonometry, synthetic geometry and their problem solving skills to find the angle of depression from a point. |
Geometry, Trigonometry |
3rd |
HL |
Diving for Roots |
Students are introduced to quadratic equations from a functions point of view and will use this to make connections to the algebraic method(s) for factorising … |
Algebra, Functions |
2nd |
HL |
Dining Out – Who Gets your Money |
“In this lesson students will complete a problem to find out how much a meal costs before tax is added by finishing this question they … |
Number |
3rd |
HL |
Cuir Cruth Air |
Trí a bheith ag plé le léaráid ina bhfuil triantáin agus cearnóga, tiocfaidh na daltaí ar ghaol idir a n-achair. Tabharfaidh an gaol seo dóibh … |
Geometry, Number, Trigonometry |
2nd |
Common |
Cover the Distance Faster |
Students apply their knowledge and understanding of coordinates, calculating length and Pythagoras’ Theorem to calculate the distance between two points, with the intention they will … |
Geometry, Trigonometry |
2nd |
HL |
Count like an Egyptian |
Students are given a problem and asked to explore different approaches leading them to query the difference between multiplication and addition. |
Algebra |
2nd |
OL |
Box Bonanza |
Students work on the problem of calculating the number of matchsticks in a structure which leads to developing linear expressions. |
Algebra |
1st |
Common |
Baby it’s cold outside |
The aim of this lesson is consolidate students’ knowledge of how to solve a quadratic equation algebraically and graphically whilst also drawing on students’ prior … |
Algebra, Functions |
5th |
HL |
Are we there yet? |
Students are encouraged to solve a problem by finding the midpoint between two points. This can be achieved in many ways. Through Ceardaíocht students will … |
Geometry, Trigonometry |
2nd |
HL |
Are you up for the Match? |
The aim is for the students to discover the Fundamental Principal of Counting through problem solving using all previous knowledge to extend their learning into … |
Probability |
1st |
Common |
Are Circles Pointless |
In this lesson students will actively participate in solving a problem that will progress towards understanding, recognising and applying the equation of the circle |
Geometry, Trigonometry |
5th |
HL |
Getting Value for Money |
Students will try to solve a problem involving currency exchange set in a real life situation. |
Number |
2nd |
Common |
Angles to find the Treasure |
The students will be given a map with three different routes to treasure for three pirates. Students must identify the routes and calculate the distances … |
Geometry, Trigonometry |
3rd |
HL |
2D or not 2D? |
The lesson focuses on students designing an open rectangular box when given the area of its base and total surface area of the box. |
Geometry, Trigonometry |
2nd |
HL |
2D to 3D… That is the Question? |
Students will be presented with a problem in which they need to select and use appropriate knowledge from the different strands in maths, and decipher … |
Algebra, Functions, Geometry, Number, Probability, Statistics, Trigonometry |
5th |
OL |
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 |