Notesale: Turn your study into money

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Grade 7 Math Term 2
● Geometry
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Geometry (from Ancient Greek γεωμετρία (geōmetría)
'land measurement'; from γῆ (gê) 'earth, land' and
μέτρον (métron) 'a measure') is a branch of
mathematics concerned with properties of space
such as the distance, shape, size, and relative position
of figures
...
Elliptic geometry is an
illustration of a geometry in which Euclid's
resemblant hypothetical doesn't hold
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● Proportional Relationships
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Proportional relationships are relationships
between two variables where their ratios are
equivalent
...


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Another term for the rate of change for
proportional relationships is the constant of
proportionality
...
To simplify things,

we set y x = k , where represents the constant of
proportionality
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Now, we're going to consider an example of
proportional relationship in our everyday life: When
we put gas in our car, there is a relationship between
the number of gallons of fuel that we put in the
tank and the amount of money we will have to pay
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● Surface area
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The surface area of a three dimensional shape is the
total area of all of the faces
...
E
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The measurements here are in
centimetres so the surface area is measured in square
centimetres (cm2) ( c m 2 ) (cm^2) (cm2)
...
To find the surface area of
a cuboid which has 6 rectangular faces, add the
areas of all 6 faces
...


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The surface area is the total area covered by all the
faces of a 3D object
...
It is always measured in square units
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For example, 4m + 5 is an expression where 4m and 5 are
the terms and m is the variable of the given
expression separated by the arithmetic sign +
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Expressions are made up
of terms
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● Exponents
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An exponent refers to the number of times a number
is multiplied by itself
...
23 is not the
same as 2 x 3 = 6
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The exponent of a number shows how many times a
number is multiplied by itself
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Exponent is also
known as the power of a number and in this case, it is
read as 3 to the power of 4
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Circle: To measure the distance around a
circle, or its perimeter, you use the perimeter formula two
times pi times the radius (P = 2πr)
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Perimeter of a Rectangle, (P) = 2(l + b) units
...


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Perimeter of a Circle = 2 π r = π d
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In other words, it is the number whose product by
itself gives the original number
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The square root symbol is called a radical, whereas
the number under the square root symbol is called the
radicand
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This symbol is known as radical, in
words

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