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**DIGITAL NOTEBOOK**

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**MATHEMATICS**

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**Gery Calderon**

**(Indices and Radicals)**

used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.

**(Sets and Venn Diagrams)**

Sets are represented in a Venn diagram by circles drawn inside a rectangle representing the universal set. The region outside the circle represents the complement of the set. The overlapping region of two circles represents the intersection of the two sets. Two circles together represent the union of the two sets.

**How do they measure up (Spatial Reasoning)**

**Financial Mathematics**

Financial Mathematics is the application of mathematical methods to financial problems. (Equivalent names sometimes used are quantitative finance, financial engineering, mathematical finance, and computational finance.) It draws on tools from probability, statistics, stochastic processes, and economic theory.

**Proportion**

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

**Univariate Statistics**

Univariate analysis is the simplest form of analyzing data. “Uni” means “one”, so in other words your data has only one variable. It doesn’t deal with causes or relationships (unlike regression ) and it’s major purpose is to describe; It takes data, summarizes that data and finds patterns in the data.

**Quantifying Data**

Quantitative analysis of qualitative data “involves turning the data from words or images into numbers. This can be done by coding ethnographic or other data and looking for emerging patterns.” (3) If qualitative data is in the form of responses to standardized questionnaire surveys, this data may also be quantified.

**How do they measure up (Spatial Reasoning)**

**Historgram**

A histogram is a graphical representation that organizes a group of data points into user-specified ranges. Similar in appearance to a bar graph, the histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins.

**Pattern generalisation**

Pattern generalisation is spotting things that are common between patterns. We can represent parts of a system in general terms, including Variables, Constants, Key Processes, repeated Processes, Inputs and Outputs.

**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.

**How do they measure up (Spatial Reasoning)**

**Linear Equations, and System of Linear Equations**

A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

**Area of a circle, A = πr2 square units The circumference of a circle = 2πr units The circumference of a circle formula can also be written as πd. Where, Diameter = 2 x Radius d = 2r Here “r” represents the radius of a circle.**

**How do they measure up (Spatial Reasoning)**

**A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle. The right triangle plays an important role in trigonometry.**

**Resources**