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Teaching Senior School Calculus and Statistics

Teaching Senior School Calculus and Statistics

This package contains pdf book (over 400 pages) with supporting video (over 22 hours with about 158 video clips) that unpacks the logic behind most of the calculus (logarithms; trigonometry; functions including trig functions; exponential functions; their derivatives and integration to the volumes of rotating solids) and statistics (to hypothesis testing with Z and t tests) and binomial probability.

Designed for:
Teachers of senior school mathematics and students who seek a deeper conceptual understanding of the rules associated with calculus, binomial probability and statistics. (complete eBook with numerous worked examples).

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Teaching Senior School Calculus and Statistics

07:08

SM_0 # Introduction to Teaching Senior School Calculus and Statistics Package

SM_0 # Introduction to Teaching Senior School Calculus and Statistics Package
13:22

SM_1-1 # Introduction to Index

SM_1-1 # Introduction to Index
08:42

SM_1-2 # Index - Introducing the Concept

SM_1-2 # Index - Introducing the Concept
08:59

SM_1-3 # Exponential Application

SM_1-3 # Exponential Application
03:06

SM_1-4 # Exponentials - Simple and Compound Interest compared

SM_1-4 # Exponentials - Simple and Compound Interest compared
07:37

SM_1-5 # Exponentials - Compound Interest

SM_1-5 # Exponentials - Compound Interest
05:21

SM_1-6 # Developing Index Rules - Part A

SM_1-6 # Developing Index Rules - Part A
10:39

SM_1-7 # Developing Index Rules - Part B

SM_1-7 # Developing Index Rules - Part B
04:09

SM_1-8 # Index - Practice A

SM_1-8 # Index - Practice A
08:26

SM_1-9 # Index - Simplify (Hard) - Practice B

SM_1-9 # Index - Simplify (Hard) - Practice B
01:33

SM_1-10 # Solving in Index Contexts (Simple)

SM_1-10 # Solving in Index Contexts (Simple)
06:02

SM_1-11 # Solving in Index Contexts (Hard)

SM_1-11 # Solving in Index Contexts (Hard)
13:05

SM_1-12 # Introduction to Surds and congugate Surds

SM_1-12 # Introduction to Surds and congugate Surds
07:11

SM_1-13 # Surds - Simplification Practice

SM_1-13 # Surds - Simplification Practice
12:51

SM_1-14 # Introduction to Logarithms

SM_1-14 # Introduction to Logarithms
11:07

SM_1-15 # Log Rules - Proofs and Logic

SM_1-15 # Log Rules - Proofs and Logic
07:26

SM_1-16 # Log Laws - Manipulation Practice

SM_1-16 # Log Laws - Manipulation Practice
08:49

SM_1-17 # Graphing Exponentials - by Hand

SM_1-17 # Graphing Exponentials - by Hand
11:08

SM_1-18 # Graphing Exponentials - exploring with Computer

SM_1-18 # Graphing Exponentials - exploring with Computer
10:36

SM_1-19 # Natural Logs - Definition and Solving

SM_1-19 # Natural Logs - Definition and Solving
09:25

SM_1-20 # Problem Solving in Finance with Logarithms

SM_1-20 # Problem Solving in Finance with Logarithms
08:20

SM_1-21 # Population Problem using Index Rules

SM_1-21 # Population Problem using Index Rules
07:14

SM_1-22 # Population Problem using Natural Logarithms

SM_1-22 # Population Problem using Natural Logarithms
06:57

SM_1-23 # Logarithms and Sound problem solving

SM_1-23 # Logarithms and Sound problem solving
05:55

SM_1-24 # Introduction to Log Graphs - Corona Virus

SM_1-24 # Introduction to Log Graphs - Corona Virus
03:31

SM_1-25 # Log Problem - Virus Growth Factor

SM_1-25 # Log Problem - Virus Growth Factor
02:43

SM_1-26 # Virus Problem - Doubling Time

SM_1-26 # Virus Problem - Doubling Time
06:06

SM_1-27 # Introduction to Change of Base for Logs

SM_1-27 # Introduction to Change of Base for Logs
03:54

SM_1-28 # Deriving the Change of Base Rule

SM_1-28 # Deriving the Change of Base Rule
03:56

SM_2-1 # Trigonometry - Introduction and Overview

SM_2-1 # Trigonometry - Introduction and Overview
09:25

SM_2-2 # Triangles - Basic, Pythagoras derived

SM_2-2 # Triangles - Basic, Pythagoras derived
08:53

SM_2-3 # Triangles - Congruent, Similar

SM_2-3 # Triangles - Congruent, Similar
09:10

SM_2-4 # Properties of Circles

SM_2-4 # Properties of Circles
12:46

SM_2-5 # Sine Ratio

SM_2-5 # Sine Ratio
11:21

SM_2-6 # Exact Values in Sine, Cosine, Tangent

SM_2-6 # Exact Values in Sine, Cosine, Tangent
11:33

SM_2-7 # Signs around the circles for Sine, Cosine, Tangent

SM_2-7 # Signs around the circles for Sine, Cosine, Tangent
04:46

SM_2-8 # Worked Example Solution ASTC

SM_2-8 # Worked Example Solution ASTC
06:51

SM_2-9 # Introduction to Radians

SM_2-9 # Introduction to Radians
05:58

SM_2-10 # Radians to Degrees Conversions

SM_2-10 # Radians to Degrees Conversions
07:17

SM_2-11 # Radians to Degrees Calculators

SM_2-11 # Radians to Degrees Calculators
16:22

SM_2-12 # Plotting Periodic Functions - Physical to Graph

SM_2-12 # Plotting Periodic Functions - Physical to Graph
06:21

SM_2-13 # Graphing Sine Functions - Manual Coordinates

SM_2-13 # Graphing Sine Functions - Manual Coordinates
07:04

SM_2-14 # Graphing Cosine Functions

SM_2-14 # Graphing Cosine Functions
08:07

SM_2-15 # Using Technology to graph Sine Functions

SM_2-15 # Using Technology to graph Sine Functions
05:35

SM_2-16 # Sine and negative Sine explained

SM_2-16 # Sine and negative Sine explained
10:06

SM_2-17 # Cosine and negative Cosine explained

SM_2-17 # Cosine and negative Cosine explained
18:36

SM_2-18 # Teaching the Plotting of Tangent Functions

SM_2-18 # Teaching the Plotting of Tangent Functions
07:37

SM_2-19 # Features of a Tangent Function on the Computer

SM_2-19 # Features of a Tangent Function on the Computer
08:58

SM_2-20 # Deriving the Equation of a Circle

SM_2-20 # Deriving the Equation of a Circle
03:55

SM_2-21 # Formalising trigonomic Relationships

SM_2-21 # Formalising trigonomic Relationships
04:43

SM_2-22 # Rearranging trigonomic Relationships with Algebra

SM_2-22 # Rearranging trigonomic Relationships with Algebra
11:52

SM_2-23 # Deriving and Using the Sine Rule

SM_2-23 # Deriving and Using the Sine Rule
08:38

SM_2-24 # Deriving the Cosine Rule

SM_2-24 # Deriving the Cosine Rule
12:49

SM_2-25 # Problem Solving with Cosine, Summary

SM_2-25 # Problem Solving with Cosine, Summary
19:22

SM_3-1 # Introduction to Probability and Binomial Expansion

SM_3-1 # Introduction to Probability and Binomial Expansion
09:22

SM_3-2 # Pascal Numbers - continued

SM_3-2 # Pascal Numbers - continued
05:13

SM_3-3 # Developing Binomial Generality

SM_3-3 # Developing Binomial Generality
07:10

SM_3-4 # Applying Binomial Probability and Calculators

SM_3-4 # Applying Binomial Probability and Calculators
05:41

SM_3-5 # Binomial Problem - with Calculator

SM_3-5 # Binomial Problem - with Calculator
09:55

SM_3-6 # Binomial Expansion in Algebra

SM_3-6 # Binomial Expansion in Algebra
09:23

SM_3-7 # Introduction to Expected Value

SM_3-7 # Introduction to Expected Value
07:23

SM_3-8 # Expected Value Example, Concluding Thoughts

SM_3-8 # Expected Value Example, Concluding Thoughts
05:43

SM_4-1 # Introduction to Statistics

SM_4-1 # Introduction to Statistics
07:06

SM_4-2 # Definition of Variables

SM_4-2 # Definition of Variables
07:21

SM_4-3 # Introduction to Sampling Methods

SM_4-3 # Introduction to Sampling Methods
04:25

SM_4-4 # Mode, Median, Mean

SM_4-4 # Mode, Median, Mean
06:18

SM_4-5 # Introduction to Box and Whisker Plots

SM_4-5 # Introduction to Box and Whisker Plots
16:47

SM_4-6 # Introduction to Normal Distribution, Measuring Spreads

SM_4-6 # Introduction to Normal Distribution, Measuring Spreads
04:18

SM_4-7 # Normal and Skew

SM_4-7 # Normal and Skew
07:07

SM_4-8 # Z Scores

SM_4-8 # Z Scores
07:17

SM_4-9 # Overview of Hypothesis Testing

SM_4-9 # Overview of Hypothesis Testing
08:10

SM_4-10 # Critical Values for Normal Distribution

SM_4-10 # Critical Values for Normal Distribution
07:38

SM_4-11 # Impact of Sample Size on Z Scores

SM_4-11 # Impact of Sample Size on Z Scores
09:45

SM_4-12 # Critical Values - 2 Tails and 1 Tail Tests

SM_4-12 # Critical Values - 2 Tails and 1 Tail Tests
02:36

SM_4-13 # Dependent and Independent Samples

SM_4-13 # Dependent and Independent Samples
13:06

SM_4-14 # Using Z Scores to Calculate Difference between Means

SM_4-14 # Using Z Scores to Calculate Difference between Means
12:01

SM_4-15 # Worked Examples of Z-Tests

SM_4-15 # Worked Examples of Z-Tests
08:23

SM_4-16 # When to use a T-Test

SM_4-16 # When to use a T-Test
04:14

SM_4-17 # Comparing the Means of two Populations with T-Test

SM_4-17 # Comparing the Means of two Populations with T-Test
06:54

SM_4-18 # Using Technology to compare Means with T-Test

SM_4-18 # Using Technology to compare Means with T-Test
08:39

SM_4-19 # T-Test the Small Sample

SM_4-19 # T-Test the Small Sample
07:49

SM_4-20 # Compare Means with SPSS

SM_4-20 # Compare Means with SPSS
10:12

SM_4-21 # Introduction to Correlation

SM_4-21 # Introduction to Correlation
07:28

SM_4-22 # Running a Correlation Test with SPSS

SM_4-22 # Running a Correlation Test with SPSS
16:03

SM_4-23 # Regression Equations, Conclusions

SM_4-23 # Regression Equations, Conclusions
06:05

SM_5-1 # Introduction to Calculus, Overview of Teaching Models

SM_5-1 # Introduction to Calculus, Overview of Teaching Models
15:42

SM_5-2 # Establishing a Need for Derivative Functions

SM_5-2 # Establishing a Need for Derivative Functions
06:07

SM_5-3 # Connecting Gradient Change via Graphs

SM_5-3 # Connecting Gradient Change via Graphs
04:17

SM_5-4 # Using a Computer to understand Gradient Functions

SM_5-4 # Using a Computer to understand Gradient Functions
05:53

SM_5-5 # Derivative of 1 on x

SM_5-5 # Derivative of 1 on x
06:06

SM_5-6 # Composite Functions and their Derivatives

SM_5-6 # Composite Functions and their Derivatives
14:44

SM_5-7 # Developing the Concept of Limits

SM_5-7 # Developing the Concept of Limits
07:58

SM_5-8 # Formalising Derivative from First Principles

SM_5-8 # Formalising Derivative from First Principles
07:54

SM_5-9 # Derivatives from First Principles - Practice

SM_5-9 # Derivatives from First Principles - Practice
09:43

SM_5-10 # Developing the Chain Rule

SM_5-10 # Developing the Chain Rule
16:10

SM_5-11 # Teaching the Product Rule of Differentiation

SM_5-11 # Teaching the Product Rule of Differentiation
13:15

SM_5-12 # Teaching the Quotient Rule of Differentiation

SM_5-12 # Teaching the Quotient Rule of Differentiation
06:19

SM_5-13 # Introduction to the Second Derivative

SM_5-13 # Introduction to the Second Derivative
03:36

SM_5-14 # Introduction to Problem Solving with Derivatives

SM_5-14 # Introduction to Problem Solving with Derivatives
12:48

SM_5-15 # Worked Example - Simple Modelling and Problem Solving

SM_5-15 # Worked Example - Simple Modelling and Problem Solving
05:55

SM_5-16 # Worked example - More Diffiuclt, Max Area

SM_5-16 # Worked example - More Diffiuclt, Max Area
10:53

SM_5-17 # Worked Example involving Volume

SM_5-17 # Worked Example involving Volume
10:57

SM_5-17 # Worked Example 2

SM_5-17 # Worked Example 2
10:04

SM_5-18 # Worked Example simple MAP

SM_5-18 # Worked Example simple MAP
10:52

SM_5-19 # Worked Example involving Volume

SM_5-19 # Worked Example involving Volume
16:42

SM_6-1 # Summary of Trigonometric Identities

SM_6-1 # Summary of Trigonometric Identities
11:17

SM_6-2 # Introduction to the Derivative of the Sine Function

SM_6-2 # Introduction to the Derivative of the Sine Function
10:38

SM_6-3 # Conceptualisaing Derivatives of Periodic Functions

SM_6-3 # Conceptualisaing Derivatives of Periodic Functions
05:25

SM_6-4 # Simple Worked Examples with Derivatives of Sine and Cosine

SM_6-4 # Simple Worked Examples with Derivatives of Sine and Cosine
06:36

SM_6-5 # Introduction to the Derivative of Tangent Functions

SM_6-5 # Introduction to the Derivative of Tangent Functions
08:16

SM_6-6 # Exploring Tangent Derivatives with Graphs

SM_6-6 # Exploring Tangent Derivatives with Graphs
07:41

SM_6-7 # Deriving the Derivative of Tangent with Algebra

SM_6-7 # Deriving the Derivative of Tangent with Algebra
02:23

SM_6-8 # Confirming the Derivative of Tan x with a Computer

SM_6-8 # Confirming the Derivative of Tan x with a Computer
04:41

SM_6-9 # Making Sense of the Tangent Derivatives with a Computer

SM_6-9 # Making Sense of the Tangent Derivatives with a Computer
09:10

SM_7-1 # Introduction to e and Revision of Exponential Functions

SM_7-1 # Introduction to e and Revision of Exponential Functions
09:43

SM_7-2 # Derivatives of Exponentials, Finding the Constant with Algebra

SM_7-2 # Derivatives of Exponentials, Finding the Constant with Algebra
05:20

SM_7-3 # Calculating the Constant to find the Derivative of an Exponential Function

SM_7-3 # Calculating the Constant to find the Derivative of an Exponential Function
04:46

SM_7-4 # Derivative of e to the x Power

SM_7-4 # Derivative of e to the x Power
07:47

SM_7-5 # Simple Worked Examples

SM_7-5 # Simple Worked Examples
13:24

SM_7-6 # Using Natural Logs to find the Constant for Derivatives of Exponentials

SM_7-6 # Using Natural Logs to find the Constant for Derivatives of Exponentials
10:46

SM_7-7 # Chain Rule with Exponentials

SM_7-7 # Chain Rule with Exponentials
04:26

SM_7-8 # Using Technology to investigate the Derivative of ln(x)

SM_7-8 # Using Technology to investigate the Derivative of ln(x)
08:16

SM_7-9 # Teaching Derivatives of log(x)

SM_7-9 # Teaching Derivatives of log(x)
02:38

SM_7-10 # Derivative of log(x) - other Representation

SM_7-10 # Derivative of log(x) - other Representation
05:49

SM_7-11 # Simple Worked Examples of Derivative of ln(x) Functions

SM_7-11 # Simple Worked Examples of Derivative of ln(x) Functions
10:43

SM_7-12 # More Worked Examples of Procedure

SM_7-12 # More Worked Examples of Procedure
02:41

SM_7-13 # Simple Modelling Problem

SM_7-13 # Simple Modelling Problem
07:52

SM_8-1 # Introduction to Integration

SM_8-1 # Introduction to Integration
04:54

SM_8-2 # Introducing the Anti-derivative Concept

SM_8-2 # Introducing the Anti-derivative Concept
06:07

SM_8-3 # Connecting Differentiation and Integration

SM_8-3 # Connecting Differentiation and Integration
12:13

SM_8-4 # Linking Estimations of Areas under Curves with Formal Integration

SM_8-4 # Linking Estimations of Areas under Curves with Formal Integration
13:26

SM_8-5 # Developing the Fundamental Theorem of Calculus

SM_8-5 # Developing the Fundamental Theorem of Calculus
14:38

SM_8-6 # Introduction to Integration by Substitution

SM_8-6 # Introduction to Integration by Substitution
15:19

SM_8-7 # Substitution worked examples

SM_8-7 # Substitution worked examples
08:27

SM_8-8 # Integration definite integral substitution methods

SM_8-8 # Integration definite integral substitution methods
10:32

SM_8-9 # Simple Motion - Problem Solving with Integration

SM_8-9 # Simple Motion - Problem Solving with Integration
07:05

SM_8-10 # Introduction to the Integration of trigonomic Functions

SM_8-10 # Introduction to the Integration of trigonomic Functions
07:47

SM_8-11 # Formalising the Integration of Trigonometric Functions

SM_8-11 # Formalising the Integration of Trigonometric Functions
04:47

SM_8-12 # Integral of Sine linked to Fundamental Theory

SM_8-12 # Integral of Sine linked to Fundamental Theory
05:27

SM_8-13 # Integral of sin(x) with Approximation Methods

SM_8-13 # Integral of sin(x) with Approximation Methods
03:51

SM_8-14 # Algebraic Approach to Deriving the Formula for Integral of sin(3x)

SM_8-14 # Algebraic Approach to Deriving the Formula for Integral of sin(3x)
03:05

SM_8-15 # Integration of Functions 1 over x

SM_8-15 # Integration of Functions 1 over x
02:56

SM_8-16 # Integral of Exponentials

SM_8-16 # Integral of Exponentials
06:10

SM_8-17 # Introduction to Volume of a Cone with Integration

SM_8-17 # Introduction to Volume of a Cone with Integration
08:54

SM_8-18 # Rotating Cubic Function Integration with Limits

SM_8-18 # Rotating Cubic Function Integration with Limits
04:22

SM_8-19 # Introduction to Volume of a Sphere

SM_8-19 # Introduction to Volume of a Sphere
08:48

SM_8-20 # Derivation of Volume of a Sphere with Integration

SM_8-20 # Derivation of Volume of a Sphere with Integration
08:52

SM_8-21 # Volume of a Solid rotated about y Axis

SM_8-21 # Volume of a Solid rotated about y Axis
02:10

SM_8-22 # Simple Area under the Curve with a Computer

SM_8-22 # Simple Area under the Curve with a Computer
07:26

SM_8-23 # Introduction to Simpson's Rule of Approximation

SM_8-23 # Introduction to Simpson's Rule of Approximation
07:00

SM_8-24 # Simpson's Rule with more than two Parts

SM_8-24 # Simpson's Rule with more than two Parts
08:12

SM_8-25 # Rotating Solids - Washer, Method 1

SM_8-25 # Rotating Solids - Washer, Method 1
08:03

SM_8-26 # Washer, Example 2

SM_8-26 # Washer, Example 2
09:11

SM_8-27 # Tedious Washer Problem

SM_8-27 # Tedious Washer Problem
08:00

SM_8-28 # Washer, Rotated about y Axis - Simple

SM_8-28 # Washer, Rotated about y Axis - Simple
14:45

SM_9-1 # Introduction to Queensland Maths Syllabi

SM_9-1 # Introduction to Queensland Maths Syllabi
13:32

SM_9-2 # Background to Teaching Maths Methods

SM_9-2 # Background to Teaching Maths Methods
27:28

SM_9-3 # Overview of ATAR

SM_9-3 # Overview of ATAR
Stephen Norton - Teaching Senior School Calculus and Statistics ### Study Guide
163 KB

Stephen Norton - Teaching Senior School Calculus and Statistics ### Study Guide

163 KB
Stephen Norton - Teaching Senior School Calculus and Statistics 2016.pdf
11.1 MB

Stephen Norton - Teaching Senior School Calculus and Statistics 2016.pdf

11.1 MB