Algebra I Grade 9
This course is one step more abstract than arithmetic. Arithmetic is the manipulation of numbers through basic math functions. Algebra introduces a variable, which is an unknown quantity or can be substituted for an entire group of numbers.
Topics covered include:
- Number Systems
- Coordinate Geometry
- Linear Equations in Two Variables
- Lines & Angles
- Area of Parallelograms & Triangles
- Heron’s formula
- Surface Areas & Volumes
1 [Math] Number Systems
Simply put, a number system is a way to represent numbers. We are used to using the base-10 number system, which is also called decimal. Other common number systems include base-16 (hexadecimal), base-8 (octal), and base-2 (binary)
2 [Math] Polynomials
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7
3 [Math] Coordinate Geometry
Coordinate geometry (or analytic geometry) is defined as the study of geometry using the coordinate points. Using coordinate geometry, it is possible to find the distance between two points, dividing lines in m:n ratio, finding the mid-point of a line, calculating the area of a triangle in the cartesian plane, etc.
4 [Math] Linear Equations in Two Variables
If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r. The number r is called the constant of the equation ax + by = r.
5 [Math] Lines and Angles
When a transversal intersects two parallel lines, The corresponding angles are equal. The vertically opposite angles are equal. The alternate interior angles are equal.
6 [Math] Triangles
Triangles are shapes with three sides. There are different names for the types of triangles. A triangle's type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.
7 [Math] Quadrilaterals
A quadrilateral is a four-sided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus. Move your mouse cursor over the figures at the right to learn more.
8 [Math] Area of Parallelograms & Triangles
A parallelogram is a four-sided, two-dimensional shape in which opposite sides are parallel and have equal length. To find the area of a parallelogram, we simply multiply the base times the height. Now, let's look at triangles. ... To find the area of a triangle, we take one half of its base multiplied by its height
9 [Math] Circles
10 [Math] Constructions
11 [Math] Heron's formula
12 [Math] Surface Areas & Volumes
13 [Math] Statistics
14 [Math] Probability
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