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Problem Solving Lesson Proposals

Check out the 52 lesson proposals developed by maths teachers involved in Lesson Study.


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Lesson TitleDescriptionStrandYear GroupLevel
Prof. Takahashi’s Lesson ProposalThrough a series of problems, students learn about the conditions required for congruency (includes student worksheets).,
Introducing Differential CalculusDeveloping an understanding of key calculus concepts using rates of change.
The Polygon PredicamentConnecting multiple mathematical topics to solve a geometric problem., , , ,
The Perfect SelfieUsing geometry and trigonometry to solve a 3D problem.,
Developing Frieda’s FieldDeveloping the formula for the area of a non-right-angled triangle.,
Enter the MatrixSolving a multi-variable problem using many methods.
The General Term of a Quadratic PatternUsing multiple strategies to develop the formula for a quadratic relationship.,
Heading for TroubleLearning how to deal with a two-variable problem where one relationship is noon-linear.
Navigating an Ash CloudDrawing on algebra, geometry and trigonometry to solve a problem., ,
The Water RocketAnalysing quadratic relationships using multiple strategies., ,
What makes a ParallelogramUsing trigonometry & geometry to calculate the area of a parallelogram.,
Tick Tock – Area of an IncircleUse the properties of an equilateral triangle to find the area of its incircle.,
Seeing through the DabApplying trigonometry to solve a 3D problem.,
Decoding De MoivreUnderstanding the concepts of rotations and scales which underpin De Moivre’s Theorem., ,
How many ways can you prove It?Understanding the construction of the bisector of an angle.,
Centre of a RectangleStudents draw on many topics to find the centroid of a rectangle., , ,
Comparing Percentages, Decimals & FractionsCalculate the percentage and fraction of a number in many ways.
Coordinate Geometry meets Synthetic GeometryUsing coordinate geometry, theorems, corollaries and constructions to show a quadrilateral is a rectangle.,
Picture this QuadraticModelling images using quadratic functions and understanding the importance of roots.,
Transformation TrickeryApplying knowledge of transformations for problem-solving.
3D CubesIdentifying right-angled triangles in 3D solids to solve problems.,
Anyone for Pizza – Solving Simultaneous EquationsModelling problems with simultaneous equations and how elimination can be used to solve them.
Coffee and Tea SimultaneouslySolving a two-variable problem using different techniques.,
An Average ProblemUnderstand the properties of different measures of average.
The Cookie CrumblesMoving from area to volume in a uniform solid.
Into the Next DimensionUnderstanding the relationship between cross-sectional area and volume for a uniform solid.
Equivalent FractionsStudents learn to compare fractions using graphical methods.
More Pizza for meUsing scaling to compare different quantities fairly.
Pragmatic QuadraticCalculating the area of a shape with unknown dimensions.,
Rich, Happy, Healthy or FamousUsing Census @ School data to compare methods for analysing data.
Roots and ShootsCalculating the dimensions of a shape given its area in general terms.,
Tri to be ShadyUsing many approaches to calculate an unknown area.,
The Window MakerUsing two-variable problems to develop simultaneous equations.
Grazing GazellesDiscovering Pythagoras’s Theorem.,
Tin of BeansUsing the concept of cross-sectional area to change area of a circle into volume of a cylinder.
Translating Words into SymbolsUsing different operations to develop the same number., ,
An Alternative Approach to Alternate AnglesProblem solving to demonstrate that alternate angles are equal in measure.
Are you Snookered?Use axioms and theorems to calculate a pair of missing angles.
Perimeter of an Irregular ShapeCalculating perimeter of a shape with known and unknown lengths.,
Home and AwayUnderstanding distance-time graphs.,
A Tough ClimbUnderstanding the concept of slope.,
Mary’s AgeApplying linear equations to problems.
Perfecting PercentagesUnderstanding the usefulness of percentages in understanding proportion.
Count the SweetsStudents apply algebraic reasoning to problem-solve a linear relationship.,
The Chocolate ChallengeUsing equivalent fractions to decide which unit quantity is greatest.
The Great HallUsing linear relationships to develop algebraic thinking.
The Problem with Cats & DogsLearning to use Venn Diagrams as a problem-solving tool.
What’s your Angle?Applying knowledge of axioms and theorems to calculate missing angles.
Working with Fred Pattern-SonUsing a visual pattern to introduce linear relationships.
Introducing Algebra & Word EquationsApplying algebraic reasoning to in-context problems.
Let’s think about BIDMASApplying order of operations to generate different numbers.
Dogs do PatternsUsing a real-life problem to develop an understanding of linear relationships.,