Foundation Math
The grade where everything around you is represented as symbols and manipulated to enhance understanding through the language of mathematics.
COURSE DELIVERY

This course will be completed over 12 weeks, two hours on Saturday mornings 9 am to 11 pm at the earliest from June, batch size of a maximum of 8 students.

Importance will be given to conceptual understanding, projecting videos, and problemsolving from different perspectives.

Tests for building competitiveness and home assignments to hone a student's mathematical ability and confidence will be given for the week.
SYLLABUS 6THCBSE
For those serious about this course, we recommend viewing on a laptop for the best experience.
CHAPTER 1: KNOWING YOUR NUMBERS

With the advent of civilization after the last ice age around 11,000 years back, populations started growing, land under cultivation increased, some started studying astronomy, and others were building temples and pyramids. Hence the requirement for large numeral systems were required.

The Egyptians had a very crude nonpositional number system for a unique symbol for every power of 10, up to 10 million.

In this chapter, we explore large numbers up to a million and learn to use them in practical word problems.
CHAPTER 2: WHOLE NUMBERS

Until the discovery of zero, the Babylonians had developed a base60 system that was positional and required only two symbols for 1 and 10. However they either left a space or dot for positions that had no value and hence these numbers could just be a representation of the value and needed the abacus for calculations. This meant that it was difficult for complex problems and also restricted to the privileged class.

Now around the turn of the first millennium, we see zero appearing in many sites in the Eastern world, with the Bakshali zero in Pakistan dated as the earliest at 200300 AD.

Now with the zero, it was both a placeholder and also a number with the value of nothing and could be used for calculations within a number like all major numbers.

This was a giant leap for man which would further influence all major developments in both mathematics and science.
CHAPTER 3: PLAYING WITH NUMBERS

Playing with numbers is key to any discipline you choose.

Prime factorization gives many details into a number.

Studying divisibility tests up to 11 is discussed.

Finally, we arrive at the HCF of numbers from the prime factorization.
CHAPTER 4: BASIC GEOMETRIC IDEAS

Now, your journey to master Euclid’s Geometry starts from this grade.

Here we define the basic elements that are important to 2D geometry which includes a point, line, angle, plane, etc.

Next, we look into the vertices, edges, sides, and diagonals of a general polygon before moving into triangles and quadrilaterals, which along with circles are the basic figures on which we would study up to 10th grade.
CHAPTER 5: UNDERSTANDING ELEMENTARY SHAPES

This chapter takes geometry to the next level from the previous chapter, where line segments came together to make general polygons, triangles, and quadrilaterals.

Here we study more on the different types of triangles that are formed when three lines intersect in many ways.

Finally, four lines to make a quadrilateral and special case like a rectangle, square, and rhombus,
CHAPTER 6: INTEGERS

This is one of the most important chapters in 6th grade. Integers are the set of numbers on the real number line where the denominator is 1. It includes Natural numbers, Zero, and Negative numbers.

We do not use negative numbers around us, except in heights, temperature, and in business.

Negative numbers were a result of an increase in trade through the silk route with strangers.

Understanding integers and applying the four major operators is key to a student's journey from here.
CHAPTER 7: FRACTIONS

“Do you think, 7/5th of the population does not understand fractions”. Not even adults understand this question. Hence this is a very important chapter along with integers in a child's mathematical journey.

Understanding the different fractions through practical problems is very important.
CHAPTER 8: DECIMALS

Conversion of fractions to decimals and vice versa is very important.

Decimals are in a form where the denominator is 1.

It is a representation that can be understood better and also useful in comparison.

Finally, addition and subtraction of decimals.
CHAPTER 9: DATA HANDLING

The chapter starts by focusing on the purpose of data handling for a better tomorrow.

Next, the basic representation of data in tabular form, which is what all computers use, and the basis of polished representations like bar charts and pie charts to follow in higher grades.
CHAPTER 10: MENSURATION

Here for the first time areas and perimeter are taken in a more formal manner with formulas.

We arrive at the area of triangles and standard figures like squares and rectangles using plotting paper as in 5th grade.
CHAPTER 11: ALGEBRA

A very important chapter where the concept of a variable and relations it can make to solve a problem.

Simple word problems are discussed to form relations also having numbers and operators.
CHAPTER 12: RATIO & PROPORTION

Ratio is a polished approach to a fraction for comparing two quantities.

Proportions can be understood better if you have understood linear variations in the chapter on Algebra.
COURSE SUMMARY

The introduction will give prime importance to a better understanding of all numbers from Natural to Fractions & the four basic operators on them. And the introduction to Algebra and Geometry.

This would account for 75% of the course.

The rest of the classes would be fun with Areas & Perimeters, Calculating the average of numbers, and Probability through Dice and Cards.