Video Lectures for IB Math Studies Year 1
Semester 1
Chapter 1: Number and Algebra 1
1.1 The Number Sets
Five Main Sets of Numbers
1.2 Approximations and Error
Rules for Significant Figures
Error and Percent Error
1.3 Standard Form
How Scientific Notation Works
1.4 SI Units of Measurement
Simple Metric Conversions
Metric Area Conversions
Chapter 3: Geometry and Trigonometry3.1 Gradient of a Line
Gradient from two points
Gradient from an equation
Gradients of parallel and perpendicular Lines
Gradients of horizontal and vertical lines
Graph a line from a point and a slope
Graph a line from x- and y-intercepts
3.2 Equations of Lines
Find an equation using point-slope form
Find an equation using slope-intercept form
Find an equation in standard form
Find equations of parallel lines
Find equations of perpendicular lines
3.2 Solving Systems of Equations
Graphing
Using PlySmlt2
Chapter 4: Mathematical Models4.1 Functions
Finding domain and range from graphs
4.2 Linear Models
4.3 Quadratic Models
Describe features of quadratic functions
Find quadratic features on the graphing calculator
Solving quadratic equations on the graphing calculator
Interpret features of quadratic functions
4.3 Applications of Quadratic Models
Example 1 Example 2 Example 3
The link for your cannon project
4.4 Exponential Models
Embryo Growth
Graphing exponential functions
4.4 Applications of Exponential Models
4.5 Polynomial Functions
4.5 Rational Functions
Vertical asymptotes
Graphing rational Functions: Example 1
Graphing Rational Functions: Example 2
Chapter 7: Number and Algebra 27.1 Arithmetic Sequences
Intro to arithmetic sequences
A formula for arithmetic sequences
Finding a formula from two terms
7.1 Arithmetic Series
Finding the sum of an arithmetic sequence
7.2 Geometric Sequences
Intro to geometric sequences
A formula for geometric sequences
7.2 Geometric Series.
Intro to geometric series
Finding the sum of a geometric sequence
Sigma notation Part 1 Part 2
7.3 Currency Conversions
Currency exchange introduction
Basic example
7.4 Compound Interest
Using the TVM Solver
Finding initial investment
Chapter 13: Prior Learning13.3.5 Coordinate Geometry - Area and Perimeter
Simple Complex
13.3.6 Coordinate Geometry - Distance and Midpoint
Distance Formula
Midpoint Formula
Semester 2
Chapter 8: Sets
8.1 Basic Set Theory
Introduction to Set Theory
Introduction to Subsets
8.2 Venn Diagrams
Venn Diagrams and Set Operations Part 1
8.3 Extending to Three Sets
Venn Diagrams and Set Operations Part 2
8.4 Problem-Solving Using Venn Diagrams
Solving Problems With Venn Diagrams
Chapter P: ProbabilityP.1 What is Probability?
Introduction to Probability
Using lattice diagrams
Using Venn diagrams
Using tree diagrams
P.2 Independent and Dependent Events
Independent events
Dependent events
Examples of both
P.3 Basic Set Theory
Shading 2 sets: Example
Shading 3 sets: Example 1 Example 2
Word problems
P.4 Combined and Mutually Exclusive Events
A video on combined events
Addition Rule Example 1 Examples 2
P.5 Conditional Probability
Intro to conditional probability
Basic example
Complicated example
Chapter 2: Descriptive Statistics2.1 Classification of Data
Continuous or Discrete?
2.2 Simple Discrete Data
Frequency Tables
2.3 Grouped Data: Histograms
How to create a histogram
2.4 Measures of Central Tendency
Central tendency: raw data
Raw data entry on the TI-84
Central tendency: grouped data
Mean of grouped data
Grouped data entry on the TI-84 - single values
Grouped data entry on the TI-84 - range of values
2.5 Percentiles and Cumulative Frequency Curves
Percentiles and quartiles
Drawing a cumulative frequency diagram
Interpreting a cumulative frequency diagram
Example 1 Example 2
2.6 Quartiles and Box and Whisker Graphs
Percentiles and quartiles
Box & whisker plots
2.7 Measures of Dispersion
What is the standard deviation?
Finding variance and standard deviation on the TI-84
Interpreting the standard deviation
Chapter 5: Statistical Applications
5.1 The Normal Distribution
Random events lead to the normal distribution
Properties of the normal distribution
Using normalcdf
Using invNorm
5.2 Correlation
What is correlation?
Pearson's Correlation Coefficient
Intro to linear regression
Finding the regression equation and r on the GDC
5.3 The Regression Line
Intro to linear regression
Finding the regression equation and r on the GDC
5.4 The Chi-Squared Test
An Introduction to the Chi-Square Distribution