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Foundation Math

Your first grade in upper primary, where various concepts are represented through numbers and shapes.

COURSE DELIVERY

  • This course will be completed over 8 weeks, two hours on Saturday mornings 11 am to 12.30  pm at the earliest from June, batch size of a maximum of 8 students.

  • We try to give a mathematical viewpoint to most of the chapters which are based on articles in the curriculum through practical problems and also projecting videos.

  • Our home assignments will be to drive a student's imagination to connect Mathematical elements to his/her surroundings.

SYLLABUS 5TH-CBSE

For those serious about this course, we recommend viewing on a laptop for the best experience.

CHAPTER 1: FISH TALE

  • This uses the fishing sector and the economics around it to relate to numbers of different scales and shapes for geometry.

  • This meant to show that basic mathematics, Arithmetic & Geometry, which was highly developed since early civilizations were really powerful for them to do agriculture to build huge temples and pyramids.

CHAPTER 2: LINES & ANGLES

  • This chapter is dedicated to angles, through practical scenarios around us.

  • It defines that it is the angle that has a huge role in creating unique shapes when the number of sides is fixed.

CHAPTER 3: HOW MANY SQUARES

  • Here we understand the significance of a square unit by calculating the number of unit squares required to cover an area of random shapes.

  • Hence why the area is expressed in terms of square units.

CHAPTER 4: PARTS & WHOLE

  • This is a very important chapter in this grade.

  • Here the concept of a part of a whole is discussed and called fractions.

  • Understanding the concept of fractions is important for comparing quantities.

CHAPTER 5: DOES IT LOOK THE SAME

  • This chapter is the foundation for higher studies in congruency to come.

  • Man has always been excited with shapes that are congruent and also construct equal figures to the best possible approximations or even precisely.

CHAPTER 6: MULTIPLES

  • Starting with a prime factorization of a number to understand it better.

  • Divisibility tests.

  • Finally application to HCF and LCM.

CHAPTER 7: CAN YOU SEE THE PATTERN

  • Understanding numbers and their patterns deeper is the ability of a budding mathematician.

  • This chapter tests the student's skill using many exercises mostly magic squares, hexagons, and circles.

  • Finally patterns with numbers and operators.

CHAPTER 8: MAPPING YOUR WAY

  • This chapter introduces complicated maps and also the concept of scale for developing a student's directional skills.

  • Inherent navigational ability is not a quality everyone adult would go on to possess, similar to the ability to understand numbers and patterns better.

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CHAPTER 9: BOXES & SKETCHES

  • This is an important chapter for reasoning skills.

  • Problems are based on cubes, rectangles, and plan views of simple houses are used to test a student's capacity for reasoning.

  • Problems based on cubes and dice are a favorite for even competitive exams.

CHAPTER 10: TENTHS & HUNDREDTHS

  • We are comfortable with multiples of units of time, mass, length, etc.

  • Though for 5th-grade students, 1/10th and 1/100th can be difficult and the chapter is dedicated to helping a student understand quantities less than 1 unit.

CHAPTER 11: AREA & BOUNDARIES

  • This chapter is meant to introduce areas and perimeter.

  • The formulas are derived by placing objects on a grid paper.

CHAPTER 12: SMART CHARTS

  • This is probably the most important chapter in terms of concepts covered.

  • Starts with an introduction to the branch of Statistics and how data collected is represented in the form of tables, which then can be represented in other forms.

  • Next, the pie chart and histogram are also introduced.

CHAPTER 13: MULTIPLY AND DIVIDE

  • The concept of addition and subtraction is highly inherent in Humans.

  • Though multiplication and division need training.

  • The most important part of the chapter is to comprehend word problems and convert them into arithmetic expressions, which are later solved using the four operators and numbers learned so far.

CHAPTER 14: HOW BIG, HOW HEAVY

  • Understanding the concept of volume or size.

  • Understanding the concept of density.

  • Finally, put both together to calculate the weight of the object.

COURSE SUMMARY

  • Numbers: Natural, Zero, Negative numbers and Fractions

  • Shapes & Sizes: Triangles, Squares, Rectangles, Parrelograms, Circles.

  • Figures & Volumes: Cubes, Cuboids and  Cylinders

  • Case studies on different sectors of the economy to include all that has been dealt with.

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