# What I learned in math

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What I learned in math

## 1. two variable statistics

### 1.1. two-variable data sets

1.1.1. for one variable data sets you know one attribute about each subject

1.1.2. 2 variable data sets can be identified by ordered pairs and 2 column tables of values and can be graphed using a scatter plot

### 1.2. effective surveys

1.2.1. effective surveys are designed with the purpose of generating accurate and detailed information and at the same time making sure the respondents are comfortable answering the questions

### 1.3. collect and organize data

1.3.1. primary data is generated by the researcher through experiments or observational studies

1.3.2. secondary data is data made available by others

1.3.3. when doing secondary research keep track of all sources

### 1.4. the line of best fit

1.4.1. linear regression determines an equation of the line of best fit of a set of two variable data

1.4.2. linear correlation is a measure of the strength of the relationship between 2 variables

## 2. measurement & geometry

### 2.1. area

2.1.1. to apply an area formula all measures but be in same units

2.1.2. the area of a composite shape can be found by adding the areas of its component shapes

2.1.3. to find net area of shape subtract the unneeded component areas from total area

### 2.2. volume

2.2.1. to apply a volume formula all measures must be in common units

2.2.2. volume of a prism can be calculated by multiplying its base area by its height or depth

### 2.3. surface area

2.3.1. surface area of a 3 dimensional figure is the sum of the areas of all the outer faces measured in square units

2.3.2. a net is a 2 dimensional model that shows the faces of a 3 dimensional figure

### 2.4. Optimize perimeter and area

2.4.1. when enclosing 4 sides the maximum area for a given rectangular area is obtained by forming a square

2.4.2. when enclosing 3 sides the maximum area for a given rectangular area is obtained by forming a rectangle whose length is twice its width

2.4.3. the minimum perimeter for a given rectangular area is obtained by forming a square

### 2.5. analyze optimum volume and surface area

2.5.1. the minimum surface area for a given volume of a square based rectangular prism occurs when the height is equal to the side length of the base

2.5.2. the minimum surface are for a given volume of a cylinder occurs when the height Is equal to the diameter

## 3. trigonomentry

### 3.1. trigonometric rations with acute angles

3.1.1. for any right triangle, primary trig ratios are sine, cosine and tangent

3.1.2. trig ratios can be used to determine side lengths and/or angle measures in a right triangle

### 3.2. trigonometric ratios with obtuse angles

3.2.1. an angle in standard position is measured counter-clockwise about the origin from the positive x-axis on the Cartesian plane

3.2.2. the primary trig ratios of an acute angle in standard position are positive

### 3.3. sine law

3.3.1. works for both acute and obtuse triangles

3.3.2. a side length can be determined if the corresponding opposite angle plus one other side angle pair is known

3.3.3. an angle measure can be determined if the corresponding opposite side plus one other side angle pair is known

### 3.4. cosine law

3.4.1. cosine law can be applied to both acute and obtuse triangles

## 4. apply data management

### 4.1. statistical measures

4.1.1. per capita

4.1.2. networth

4.1.3. percent change

4.1.4. percentile

4.1.5. percentile rank

4.1.6. weighted mean

### 4.2. Statistical indices

4.2.1. statistical index

4.2.2. the consumer price index

4.2.3. tsx index

4.2.4. farm product price index

### 4.3. interpret statistics in the media

4.3.1. brand comparisons

4.3.2. gross domestic product

4.3.3. political polls

### 4.4. statistical bias

4.4.1. sampling bias

4.4.2. non response bias

4.4.3. measurement bias

4.4.4. response bias

### 4.5. Critical analysis

4.5.1. descriptive statistics

4.5.2. inferential statistics

## 5. graphical models

### 5.1. linear models

5.1.1. rate of change

5.1.2. when the points on the graph of a relation lie along a straight line, the relation is linear

5.2.1. coefficient of determination

5.2.2. if the first differences are not constant the relation is non linear

### 5.3. exponential models

5.3.1. if ratios are constant the relation is exponential

### 5.4. analyse graphical models

5.4.1. the roc of an exponential model depends on its initial conditions

## 6. algebraic models

### 6.1. exponent laws

6.1.1. multiply powers

6.1.2. divide powers

6.1.3. power of a power

6.1.4. simplify algebraic expressions

### 6.2. rational exponents

6.2.2. cube root

6.2.3. nth root

6.2.4. apply rational exponents

### 6.3. represent exponential expressions

6.3.1. change the base of a power

### 6.4. tools and strategies to solve equations involving exponents

6.4.1. solve for a variable raised to an exponent

6.4.2. solve for a variable exponent

6.4.3. exponential decay

## 7. annuities and mortgages

### 7.1. annuities

7.1.1. future value

7.1.2. present value

### 7.2. the conditions of an annuity

7.2.1. the effect of the term of the loan on the amount paid

### 7.3. mortgages and amortization

7.3.1. fixed rate mortgage

7.3.2. amortization period

7.3.3. mortgage term

7.3.4. amortization table

7.3.5. appreciation rate

### 7.4. the conditions of a mortgage

7.4.1. semi-monthly payment

7.4.2. bi-weekly payment

7.4.3. accelerated bi-weekly payment

7.4.4. weekly pmt

7.4.5. accelerated weekly pmt

## 8. budgeting

### 8.1. savings plans

8.1.1. net earnings

8.1.2. saving a fixed ammount

### 8.2. the cost of renting a home

8.2.1. fixed expenses

8.2.2. utilities

8.2.3. lease

8.2.4. variable expenses

### 8.3. the cost of owning a home

8.3.1. property taxes

8.3.2. common fees

8.4.1. budget