The Cathedral and John Connon

SchoolMumbai

MATH PROJECT – GRADES 2, 3 AND 4

MATH A MARVEL

Objectives• Change our perspective of Mathematics and experience its expanse

• Establish the foundations of Arithmetic, Algebra and Geometry through hands-on activities.

• Understand four specific aspects of Mathematics:– To help us understand the purpose of all that exists in this world, be it natural or man-made things, or

processes and activities.

– Significance in developing our aesthetic sense

– Contribution in the evolution of measurement from estimation to standard units.

– Importance of arrangement and order and the development of the place value system

• Promote Mathematical thinking – Encourage observational, analytical, reasoning and deduction skills in children and inspire them to delve deeper for a clearer understanding of fundamental concepts.

• Provide opportunities for Mathematical exploration and thinking.

Math is everywhereObjective Understanding goal Std. 2 Std. 3 Std. 4

Math helps us understand the purpose of all that exists in this world, be it natural or man-made things, or processes and activities.

Math begins at birth Looking for evidence of Math in the Birth Certificate

Looking for evidence of Math in the Birth Certificate

Looking for evidence of Math in the Birth Certificate

Math around us

Math is at the heart of every activity

Identify Mathematical shapes in our surroundings

Discover Math in every activity they conduct in and outside school

Research about and Interview a range of professionals to enquire about the use of Math in their profession

Research about and interview a range of professionals to enquire about the use of Math in their profession

Math makes natural and manmade objects purposeful

Analyze mathematical properties of natural and manmade objects

Analyze mathematical properties of natural and manmade objects

Analyze mathematical properties of natural and manmade objects

PatternsObjectives Understanding

goalStd. 2 Std. 3 Std. 4

Significance of Mathematics in developing our aesthetic sense

Symmetry brings geometrical balance

Identifying line of symmetry in 2D pictures

Students make symmetrical forms using the body in gymnastics and dance

Identifying line of symmetry in 2D pictures

Students make symmetrical forms using the body in gymnastics and dance

Identifying line of symmetry in 2D pictures

Students make symmetrical forms using the body in gymnastics and dance

Mathematics in reflection – With the protractor as a base and mirrors, the students constructed a model in which a match stick placed between the two mirrors reflected different polygons depending upon the angle between the mirrors

Natural and man made patterns

Analysing patterns in nature shown through videos

Analysing patterns in nature shown through videos

Analysing patterns in nature shown through videos

Properties of shapes

Constructing a ‘House of Shapes’ using 2D and 3D shapes and analyze the difference between 2D and 3D

Constructing solids using modelling clay, toothpicks and straws and identifying properties of 3D solids to derive Euler’s formula: V +F = E + 2

Constructing cubes with modelling clay and toothpicks, ascertaining the weight the structure can take, then supporting the faces of the cube with diagonals (making triangles), then ascertaining the weight the new structure can take, concluding that triangles add strength to structures in architecture, e.g. bridges

Study Pappus’s Honeycomb Conjecture , make hexagonal structures with paper and stand on them to test for strength.

Fibonacci Sequence

Students made a ‘Fibonacci train’ with Fibonacci numbers on each compartment

Students wrote their own Fibonacci poem

Students wrote their own Fibonacci poemand made the Fibonacci spiral on graph paper

Fractal Pattern Drawing a fractal circle Students created the Sierpinski Triangle using the programming language, ACS LOGO on the computerAnalysing a fractal fern

Students created the Sierpinski Triangle using the programming language, ACS LOGO on the computer

Polygons Identifying simple polygons Identifying simple polygons Using programming language ACS LOGO, the students created patterns with repeated polygons all connected at the centre, concluding that a circle is a polygon with infinite number of corners.

Measurement & EstimationObjectives Understanding goal Std. 2 Std. 3 Std. 4

Contribution of Math in the evolution of measurement from estimation to standard units

Measurement began with using our bodies for estimation

Measuring things around us using parts of the body

Measuring things around us using parts of the body

Measuring things around us using parts of the body

Standard unit of measurement

Measurement of length

Measuring things using the unit for length – cm.

Measuring things using the unit for length – cm Measuring a sari in metres

Estimating length of an object and checking accuracy using measuring tape

Measuring things using the unit for length – cmMeasuring the length and breadth of the school corridor in metresParticipate in a walkathon of 1 km and ascertain the distance covered. Observe the changes in the body after the walk in terms of pulse rate.

Estimating length of an object and checking accuracy using measuring tape

Measurement of weight

Comparing the weight of one thing against the other on a weighing scale.

Measuring using standard weights – g, kg, mg

Estimating the weight of an object by holding it in the hand and then checking its accuracy by measuring using standard weights

Comparing the weight of one thing against the other on a weighing scale.

Measuring using standard weights – g, kg, mg

Estimating the weight of an object by holding it in the hand and then checking its accuracy by measuring using standard weights

Estimation of capacity Estimating capacity of a container in terms of another container

Estimating capacity of a container in terms of another container

Estimating capacity of a container in terms of another container

Use of patterns in music. Patterns bring harmony.

Counting beats in music and dance

Counting beats in music and dance Counting beats in music and dance

Numerical patterns Recognizing and generating repeating patterns using numbers between 0 and 99

Recognizing and generating repeating and growing patterns using numbers between 0 and 999

Recognizing and generating repeating, growing and shrinking patterns using numbers between 0 - 9999

Place Value SystemObjectives Understanding goal Std. 2 Std. 3 Std. 4

Importance of arrangement and order in Maths and the development of the place value system

Arranging quantities to the right place and determining the face and place value

Grouping in tens using quantities between 0 - 30

Grouping in tens using quantities between 0 - 50

Grouping in tens using quantities between 0 - 70

Concept of addition Bundling using quantities between 0 - 30

Bundling using quantities between 0 - 50

Bundling using quantities between 0 - 70

Concept of subtraction

Unbundling using quantities between 0 - 30

Unbundling using quantities between 0 - 50

Unbundling using quantities between 0 - 70

Participation of Visiting Students from Grades 5 to 12

Hands on activities

Magnetic game – Place the professions in the right category according to the area of Math used in their work given as columns

Read, recognise, apply and generate numerical patterns in given pattern puzzle cards

Solve the Fibonacci spiral puzzle by following the squares on the board

Estimate length of given objects and check the accuracy using the tape

Estimate the capacity of a container with respect to another container and then check by actually pouring the liquid.

Make a solid with modelling clay, toothpick and straws and test Euler’s formula

Discover the Fibonacci connection in a pineapple by counting the spirals

Test the leaves of a real fern plant for self similarity property of fractals

Estimate weight of the given objects and check the accuracy using the weighing scale

With mirror and protractor base model, experiment by placing a match stick and altering the angle between the mirrors to understand the Mathematics in reflection

Group the given objects and arrange them in the given place value trays

Regroup objects given in two sets of place value trays for addition

Regroup objects given in two sets of place value trays for subtraction

Infinity mirror: Stand at a point between two mirrors to see infinite images of yourself to understand the magic of Mathematics in reflection.

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