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### PDF for Year 9 and 10 Activities Book

Download pdf of the Year 9 and 10 book. 25 activities, 116 pages Complete book

### Algebraic fractions

Key concepts:Algebraic fractions Apps: Main Activity Solution

### Expand algebraic expressions

Key concepts:Expand algebraic expressions Apps: Main Activity Solution

### Heights: Histograms and boxplots

Key concepts:Draw histograms and boxplots using technology Apps: Statistics This activity uses the same data, the heights of a group of Year 9 students. Students use graphs to compare the heights of the two genders. The data is the same …

### Comparing heights of girls and boys

Key concepts:Compare two groups using statistics. Start with the raw data and draw stem and leaf plot before introducing the technology. The raw data includes some data entry errors and students have the opportunity to manage the real data. Apps: …

### Laws of indices

Key concepts:Induce some index laws based on patterns. Apps: Main Activity Solution

### Indices

Key concepts:Develop an understanding of negative integer powers. Apps: Main Activity Solution

### Trigonometry: Ratios

Key concepts: Use the sine, cosine and tangent ratios to solve to solve problems involving right-angled triangles. While the equations can be solved by other methods, NumSolve is encouraged here and an extension is to save the formulae in an …

### Trigonometry: Geometry app

Key concepts: Draw scale diagrams to solve problems involving right-angled triangles. This technique is useful whenever a scale diagram can be used to solve the problem. Apps: Geometry Activity Solution

Key concepts: Dynamically draw a triangle to calculate slope of a line segment. Introduce geometry link in an eActivity. Extend to length of the line segment formula. Apps: eActivity, Geometry Activity Solution YouTube video demo Particularly useful for first time …

### Midpoint

Key concepts: Visualise the midpoint of a line segment and deduce a formula for its coordinates Apps: Geometry Activity Solution YouTube video demo Particularly useful for first time users of Geometry app

### Slope intercept form: equation of a line

Key concepts: Explore the effects of changing parameters in the equation of a straight line using dynamic graphing. Use sliders and animate variation in the parameter, i.e. gradient and y-intercept. Apps: Graph&Table Activity Solution YouTube video demo

### Graphs of linear functions

Key concepts: Familiarity with Graph&Table app. The activity uses a problem context to develop the linear rule and then control the table of values displayed, the Graph window and introduce G-solve Apps: Graph&Table Activity Solution YouTube video demo

### Problem Dice program

Key concepts: Based on the Maths 300 activity Problem Dice, Introduce the Program app to simulate 100 rolls of the dice of a pair of dice and display the difference between the dice. Creating a program automates a sequence of …

### Problem dice

Key concepts: Introduce random number generators on the ClassPad and simulate a dice game. Apps: Main, Statistics Activity Solution

### Simultaneous equations – substitution

Key concepts: Duplicate the by-hand substitution method to solve a pair of simultaneous equations Apps: Main Activity Solution

### Simultaneous equations – graphically

Key concepts: Represent a pair of simultaneous equations graphically and solve by using the point of intersection. Apps: Graph&Table Activity Solution

### Simultaneous equations – template

Key concepts: Solve simultaneous equations using the ClassPad template Apps: Main Activity Solution

### Solve equations

Key concepts: Solving linear equations in 1 variable. Apps: Main Activity Solution

### Build equations

Key concepts: Perform step by step manipulations with equations. Start with a value of a pronumeral and then build up an equation. This follows on from the previous activity and the idea of equivalent expressions and supports the concept of …

### Equivalent expressions

Key concepts: Appreciate that expressions can be written in different ways. Use CAS to write algebraic expressions in different forms Apps: Main Activity Solution

### Algebra quiz

Key concepts: Substitute into algebraic expressions. Save variables Apps: Main Activity Solution Updated 26/2/17

### Activities for Year 9

2017, a new year, and my second year at Geelong College is about to start. I have had a year to appreciate the school culture and structures, the strengths of my staff and the way they like to work. I’d …

### Pythagoras using Geometry

Key concepts: Solve simple problems involving Pythagoras’ theorem using sacale diagrams in Geometry app. Apps: Geometry Activity Solution

### Dot to Dot

Key concepts: Plot and read coordinates on a Cartesian grid. Introduce Geometry app. Intended to be used as extra supprt for using Geometry to solve triangles, in this case problems involving Pythagoras’ theorem. Apps: Geometry Activity Solution

### Pythagoras using NumSolve

Use NumSolve to solve the Pythagorean equation Apps: NumSolve Activity Solution

### Calculation quiz

Key concepts: Perform arithmetic calculations in main. Introduce the templates of the soft keyboard Apps: Main Activity Solution This is a 10 question quiz to introduce the ClassPad to novices

Aim: Explore the gradient of a chord or secant and generalise. Visually see the gradient of the tangent as the limiting value as the two points get closer together. Apps: InteractiveDiffCalc, Main Activity Solution InteractiveDiffCalc is an application that was …

### VCE Maths Methods 3&4 Activity list

This document tabulates the activities that were either used or considered for use in my VCE Maths Methods units 3&4 class this year (2016).  A brief description of the aim, the apps used in the activity and some comments are …

### VCE Maths Methods Units 1&2 activity list

This document tabulates the activities that were either used or considered for use in my VCE Maths Methods units 1&2 class this year (2016).  A brief description of the aim, the apps used in the activity and some comments are …

### Free 2017 subscriptions for Casio’s Prime Schools Plus members

Casio is sponsoring its Prime Schools Plus members for a free 2017 subscription. For schools with an existing subscription to our resource please contact CASIO to ask for your renewal promotion code. If you are an new to our site and …

### Newton Raphson

Aim: Investigate the Newton-Raphson method for approximating roots Apps: Spreadsheet, Main Activity Solution

### Integration: “Are we there yet?”

It has been a busy time. There are areas where I have been able to use the activities very effectively and it has integrated nicely into the classroom sequence. It has worked best in my Methods units 3&4 class where …

### Slope fields

Aim: Integrate 1/x Apps: DiffEqGraph Activity Solution

### Maths Methods week 2

Started Monday with a consolidation lesson working review questions from chapter 1 together. Then on Tuesday we did the Transformations activity. All the students just worked through it at their own pace and I was able to walk around having …

### Maths Methods U3&4 Week 1

A little background: The class had two weeks of orientation at the end of last year before I was employed at my new school. They are using the Cambridge texts and these have formed the basis of the course outlines. …

Its 2016 and I have a new challenge, a new position in a different Australian state. For the last 8 years I have been working in WA. In 2015, WA introduced their versions of the Australian Curriculum in Year 11 …

### What’s new?

Year 9 Activities will be published progressively in 2017.

### Composite functions

Aim: Investigate the composition of functions. Determine domain and range of composite functions Apps: Main, Graph&Table Activity Solution

### Domain and range of composite functions

Aim: Explore restrictions on the domain and range of composite functions Apps: Graph&Table Activity Solution

### Inverse functions

Aim: Determine inverse functions Apps: Main, Graph&Table Activity Solution

### Absolute value function graphs

Aim: Explore relationships between graphs of y=f(x), y=mod(f(x)) and y=f(mod(x)) Apps: Graph&Table Activity Solution

### Reciprocal function graphs

Aim: Sketch reciprocal function graphs Apps: Graph&Table Activity Solution

### Rational function graphs

Aim: Sketch rational function graphs and describe key features Apps: Graph&Table Activity Solution

### Piece-wise defined functions

Aim: Work with piece-wise functions including the modulus function Apps: Graph&Table Activity Solution

### 3D vectors

Aim: Use and understand ClassPad’s vector commands Apps: Main Activity Solution

### Dot product

Aim: Define the dot product of two vectors in 3D Apps: Main Activity Solution

### Points in space

Aim: Prove geometric results in 3D space Apps: Main Activity Solution

### Ships in the night

Aim: Examine the position of two particles each described as a vector function of time and determine the closest approach. Apps: Main, Geometry Activity Solution

### Close call

Aim: Solve a closest approach problem Apps: Geometry, Main Activity Solution

### Cartesian equations from vector equations

Aim: Use vector equations of curves involving a parameter. Convert vector equations to Cartesian equations Apps: Main, Graph&Table Activity Solution

### Cross product

Aim: Develop geometric and algebraic definitions for the vector or cross product Apps: Main Activity Solution

### Applications of vector products

Aim: Apply vector products to solve problems Apps: Main Activity Solution

### Systems of equations

Aim: Duplicate by-hand methods to solve systems of equations Apps: Main Activity Solution

### Intersecting planes

Aim: Interpret geometrically and solve systems of linear equations with 3 variables as planes in space Apps: Main Activity Solution

### Projectiles and satellites

Aim: Apply vector calculus to motionin a plane. Analyse projectile and circular motion Apps: Main Activity Solution

### Aerofoil

Aim: Draw, calculate with and interpret parametric equations Apps: Main Activity Solution

### Inverse trigonometric functions

Aim: Describe key features of graphs of trigonometric functions Apps: Graph&Table Activity Solution

### Derivatives of inverse functions

Aim: Determine derivatives of inverse functions Apps: Main Activity Solution

### Volume: many disks

Aim: Use bounded volumes to establish values for the volume of cones Apps: Sequence Activity Solution

### Volume formulae

Aim: Derive formulae for solids of revolution Apps: Main Activity Solution

### The vase

Aim: Model the profile of an object with a function. Calculate the volume using integration Apps: Staistics, Main Activity Solution

### Sky diver

Aim: Explore motion using numerical approximation of differential equations Apps: Speaddsheet Activity Solution

### Leaky tap

Aim: Solve related rates problems Apps: Main Activity Solution

### Coffee cup

Aim: Explore numerical, slope field and exact methods for solving differential equations Apps: Spreadsheet,DiffEqGrapher, Main Activity Solution

### Epidemic

Aim: Explore the use of models to fit data Apps: Statistics, Main Activity Solution

### Golf

Aim: Analyse motion using numerical approximation methods to solve differential equations Apps: Spreadheet Activity Solution

### Simple harmonic motion

Aim: Analyse simple harmonic motion Apps: Spreadsheet Activity Solution

### Bouncy toy

Aim: Capture and analyse data from an animation of simple harmonic motion Apps: Geometry, Spreadsheet Activity Solution

### Implicit differentiation

Aim: Prove a property involving tangents using implicit differentiation Apps: Geometry, Main Activity Solution

### Simulating random samples

Aim: Collect samples from a variety of distributions. Investigate the sample means. Apps: Program, Statistics, Main Activity Solution

### Central limit theorem

Aim: Simulate repeated random sampling and explore distribution of sample means Apps: Program Activity Solution

### Egg farm

Aim: Classify and describe a normal distribution. Calculate probabilities and confidence intervals Apps: Statistics, eActivity Activity Solution

### Sampling at the egg farm

Aim: Apply the central limit theorem and calculate confidence intervals Apps: Statistics, Main Activity Solution

### Transformations of functions

Aim: Link transformations of functions with modifications to their equations Apps: Graph&Table Activity Solution

### Aussie coins

Aim: Set up and solve systems of linear equations in context Apps: Main Activity Solution

Aim: Solve 3D problems in context Apps: Main Activity Solution

### Activity 1: Converting to polar form

Key concepts: Review of complex arithmetic and use of the Complex menu in Main Apps: Main Activity Solution

### Activity 2: Drawing complex numbers

Key concepts: Represent complex numbers in Geometry Apps: Main, Geometry Activity Solution

### Activity 3: Powers

Key concepts: Calculate powers of complex numbers and picture them in the complex plane Apps: Main Activity Solution

### Activity 4: nth roots

Key concepts: Calculate roots of complex numbers Apps: Main Activity Solution

### Activity 5: Remainder theorem

Key concepts: Divide polynomials and establish the Remainder theorem Apps: Main Activity Solution

### Activity 6: Solve polynomials

Key concepts: Explore real and complex solutions and factorisations to real polynomials Apps: Graph&Table, Main Activity Solution

### Activity 7: i-Area

Key concepts: Describe regions of the complex plane defined by equations and inequalities Apps: Main, Geometry Activity Solution

### Activity 10: Inverse functions

Key concepts: Determine inverse functions Apps: Main, Graph&Table Resources to be uploaded soon Activity Solution

### Activity 12: Reciprocal function graphs

Key concepts: Sketch reciprocal function graphs Apps: Graph&Table Resources to be uploaded soon Activity Solution

### Activity 13: Rational function graphs

Key concepts: Sketch rational function graphs and identify key features Apps: Graph&Table Resources to be uploaded soon Activity Solution

### Activity 14: Piece-wise functions

Key concepts: Work with piece-wise functions including modulus functions Apps: Graph&Table Resources to be uploaded soon Activity Solution

### Activity 15: 3D vectors

Key concepts: Use and understand ClassPad’s vector commands Apps: Main Resources to be uploaded soon Activity Solution

### Activity 16: Dot Product

Key concepts: Define the dot product in 3D Apps: Main Resources to be uploaded soon Activity Solution

### Activity 17: Points in space

Key concepts: Prove geometric results in 3D Apps: Main Resources to be uploaded soon Activity Solution

### Activity 18: Ships in the night

Key concepts: Examine the position of two particles each described as a vector function of time, and determine the closest approach Apps: Main, Geometry Resources to be uploaded soon Activity Solution

### Activity 19: Close call

Key concepts: Solve a closest approach problem Apps: Main Resources to be uploaded soon Activity Solution

### Activity 20: Vector and Cartesian equations

Key concepts: Use vector equations of curves involving a parameter. Convert vector equations to Cartesian equations Apps: Main, Graph&Table Resources to be uploaded soon Activity Solution

### Activity 21: Cross product

Key concepts: Develop geometric and algebraic definitions for the vector or cross product Apps: Main Resources to be uploaded soon Activity Solution

### Activity 22: Applications of vector products

Key concepts: Apply vector products to solve problems Apps: Main Resources to be uploaded soon Activity Solution

### Activity 23: Systems of equations

Key concepts: Duplicate by-hand methods to solve systems of equations Apps: Main Resources to be uploaded soon Activity Solution

### Activity 24: Intersecting planes

Key concepts: Interpret geometrically and solve systems of linear equations with three variables, as planes in space Apps: Main Resources to be uploaded soon Activity Solution

### Activity 25: Human cannonball

Key concepts: Apply vector calculus to motion in a plane. Analyse projectile and circular motion Apps: Main Resources to be uploaded soon Activity Solution

### Activity 26: Aerofoil

Key concepts: Draw, calculate with and interpret parametric equations Apps: Main Resources to be uploaded soon Activity Solution

### Slope fields

Key concepts: Integrate 1/x Apps: DiffEqGraph Resources to be uploaded soon Activity Solution

### Activity 28: Inverse trig function graphs

Key concepts: Describe key features of graphs of inverse trigonometric functions Apps: Graph&Table Resources to be uploaded soon Activity Solution

### Activity 29: Derivatives of inverse functions

Key concepts: Determine derivatives of inverse functions Apps: Main Resources to be uploaded soon Activity Solution

### Activity 30: Volume: many disks

Key concepts: Use bounded volumes to establish values for the volume of cones Apps: Sequence Resources to be uploaded soon Activity Solution

### Activity 31: Volume formulae

Key concepts: Derive formulae for the volumes of solids of revolution Apps: Main Resources to be uploaded soon Activity Solution

### Activity 32: The vase

Key concepts: Model the profile of an object with a function. Calculate volume using calculus Apps: Statistics, Main Resources to be uploaded soon Activity Solution

### Activity 33: Sky diver

Key concepts: Explore motion using numerical approximation of differential equations Apps: Spreadsheet Resources to be uploaded soon Activity Solution

### Activity 34: Leaky tap

Key concepts: Solve related rates problems Apps: Main Resources to be uploaded soon Activity Solution

### Activity 35: Coffee cup

Key concepts: Explore numerical, slope field and exact methods for solving differential equations Apps: Spreadsheet, DiffEqGrapher, Main Resources to be uploaded soon Activity Solution

### Activity 36: Epidemic

Key concepts: Explore the use of models to fit data Apps: Statistics, Main Resources to be uploaded soon Activity Solution

### Activity 37: Golf

Key concepts: Analyse motion using numerical approximation methods to solve differential equations Apps: Spreadsheet Resources to be uploaded soon Activity Solution

### Activity 38: Simple harmonic motion

Key concepts: Analyse simple harmonic motion Apps: Spreadsheet Resources to be uploaded soon Activity Solution

### Activity 39: Bouncy toy

Key concepts: Analyse simple harmonic motion Apps: Geometry, Spreadsheet Resources to be uploaded soon Activity Solution

### Activity 40: Implicit differentiation

Key concepts: Prove a property using implicit differentiation to find the equation of a tangent. Apps: Geometry, Main Resources to be uploaded soon Activity Solution

### Activity 41: Simulating random samples

Key concepts: Collect samples from a variety of distributions. Investigate the sample means. Apps: Program, Statistics, Main Resources to be uploaded soon Activity Solution

### Activity 42: Central limit theorem

Key concepts: Simulate repeated random sampling and explore the distribution of sample means Apps: Program Resources to be uploaded soon Activity Solution

### Activity 43: Egg farm

Key concepts: Classify and describe a normal distribution. Calculate probabilities and confidence intervals Apps: Statistics, eActivity Resources to be uploaded soon Activity Solution

### Activity 44: Sampling at the egg farm

Key concepts: Apply the central limit theorem and calculate confidence intervals Apps: Statistics, Main Resources to be uploaded soon Activity Solution

### Activity 45: Transformations

Key concepts: Link transformations of functions with modifications to their equations. Describe the effects of varying a, b, c and d on the graph of y=a f[b(x-c)]+d. Apps: Graph&Table, Main Resources to be uploaded soon Activity

### Activity 46: Aussie coins

Key concepts: Set up and solve systems of linear equations in context Apps: Main Resources to be uploaded soon Activity Solution

Aim: Solve 3D geometry problems in context Apps: Main Resources to be uploaded soon Activity Solution

### Ch 1: Basic calculations quiz

Key concepts: How to perform basic arithmetic calculations Apps: Main Activity Solution

### Activity 2: Connect the dots

Key concepts: Review of coordinates in the Cartesian plane Apps: Geometry Activity Solution

### Activity 3: Percentage quiz

Key concepts: Calculations with percentages Apps: Main Activity Solution

Key concepts: Compare prices and values Apps: Main Activity Solution

Key concepts: Convert between currencies using exchange rates Apps: Spreadsheet Activity Solution

### Activity 6: Maxine’s car

Key concepts: Investigate the potential running costs of owning a car Apps: Spreadsheet Activity Solution

### Activity 7: Algebra quiz

Key concepts: Store values and substitute Apps: Main Activity Solution

Key concepts: Rearrange formulae Apps: Solve in Main Activity Solution

### Activity 9: Taxi charges

Key concepts: Substitution (and solve) Apps: Main Activity Solution

### Activity 10: Body mass index

Key concepts: Two by two tables for formulae Apps: Spreadsheet Activity Solution

### Activity 11: Matrix arithmetic

Key concepts: Operations with matrices Apps: Main Activity Solution

### Activity 12: Premiership table

Key concepts: Calculations with matrices Apps: Main Activity Solution

### Activity 13: Pythagoras

Key concepts: Pythagoras’ Theorem Apps: Geometry Activity Solution

### Activity 14: Measurement formulas

Key concepts: Calculate areas and volumes Apps: Spreadsheet Activity Solution

### Activity 15: Knicks’tistics

Key concepts: Calculate summary statistics Apps: Statistics Activity Solution

### Activity 16: Knicks’tistics II

Key concepts: Display distributions Apps: Statistics Activity Solution

### Activity 17: Rowing v basketball

Key concepts: Compare data sets Apps: Statistics Activity Solution

### Activity 18: Reaction times

Key concepts: Compare grouped data sets Apps: Statistics Activity Solution

### Activity 19: Right-angled triangles

Key concepts: Solve problems involving right triangles Apps: Geometry Activity Solution

### Activity 20: Right-angled triangles II

Key concepts: Algebraic methods for solving right triangles Apps: Main Activity Solution

### Activity 21: Window dressing

Key concepts: Solve non-right triangles Apps: Geometry Activity Solution

### Activity 22: Solving equations

Key concepts: Algebraic methods for solving equations. Apps: Main Activity Solution

### Activity 23: Features of straight lines

Key concepts: Identify features of straight line graphs. Apps: Main, Geometry, Graph&Table Activity Solution

### Activity 24: Deluxe taxi fares

Key concepts: Substitution and solving equations Apps: Main Activity Solution

### Activity 25: Simultaneous equations

Key concepts: Solve systems of equations graphically Apps: Graph&Table Activity Solution

### Activity 26: Book club

Key concepts: Solve systems of equations in context Apps: Graph&Table Activity Solution

### Activity 27: Income tax

Key concepts: Piece-wise functions Apps: Spreadsheet, Main Activity Solution

### Activity 28: Phone costs

Key concepts: Use and understand function notation, solve linear equations Apps: Main Activity Solution

### Activity 29: Moderating marks

Key concepts: Adjusting school marks to match the centre and spread of the exam marks Apps: Statistics Activity Solution

### Activity 1: Perpendicular lines

Key concepts: Establish the relationship between the gradients of perpendicular lines Apps: Geometry Activity Solution

### Activity 2: Orienteering course

Key concepts: Solve coordinate geometry problems from a real-world context using technology Apps: Geometry Activity Solution

### Activity 3: Straight lines

Key concepts: Properties of straight lines Apps: Geometry Activity Solution

### Activity 5: Features of graphs

Key concepts: Recognise and describe key features of graphs Apps: Graph&Table Activity Solution

### Activity 6: How big is the package?

Key concepts: Modelling with a cubic function Apps: Graph&Table Activity Solution

### Activity 7: Transformations

Key concepts: Examine transformations of functions Apps: Main, Graph&Table Activity Solution

### Activity 8: Circles

Key concepts: Equations of circles Apps: eActivity Activity Solution

### Activity 9: Phone costs

Key concepts: Function notation Apps: Main Activity Solution

### Activity 10: Unit circle

Key concepts: Establish definitions of the sine, cosine and tangent ratios by constructing an interactive unit circle Apps: Geometry, eActivity Activity Solution

### Activity 11: Unit circle animation

Key concepts: Collect data from a unit circle animation to graph trigonometric functions Apps: Geometry, Spreadsheet Activity Solution

Key concepts: Introduction to radian measure and its relationship with degree measure Apps: Geometry Activity Solution

### Activity 13: Trigonometric graph transformations

Key concepts: Examine amplitude, period and phase changes in trigonometric graphs Apps: Graph&Table Activity Solution

### Activity 14: Trigonometric modelling

Key concepts: Model practical situations using trigonometric functions Apps: Statistics, Graph & Table Activity Solution

### Activity 15: Window dressing

Key concepts: Solve problems involving non-right triangles Apps: Geometry, Main, eActivity Activity Solution

### Activity 16: Solving trigonometric equations

Key concepts: Solve equations involving trigonometric functions Apps: Geometry, Main Activity Solution

### Activity 17: Parts of circles

Key concepts: Calculate lengths of arcs and areas of sectors Apps: Geometry Activity Solution

### Activity 18: Pascal’s triangle

Key concepts: Generate Pascal’s triangle using a program and explore some of its properties Apps: Program Activity Solution

### Activity 19: Combinations and Pascal’s triangle

Key concepts: Link combinations to the elements in Pascal’s triangle Apps: Main Activity Solution

### Activity 20: Binomial expansion

Key concepts: Expansion of brackets Apps: Main Activity Solution

### Activity 21: Exponential functions

Key concepts: Key features of exponential functions Apps: Graph&Table Activity Solution

### Activity 22: Exponential equations

Key concepts: Solve exponential equations Apps: Graph&Table, Main Activity Solution

### Activity 23: Index laws

Key concepts: Simplify expressions and identify the rules used. Apps: Main Activity Solution

### Activity 24: Scientific Notation

Key concepts: Entry and display of numbers in scientific notation Apps: Main Activity Solution

### Activity 25: Carbon dating

Key concepts: Application of exponential function to model decay processes Apps: Graph&Table, Statistics, Main Activity Solution

### Activity 26: Rolls of tape and towels

Key concepts: Sum of an arithmetic sequence Apps: Sequence Activity Solution

### Activity 27: Paper folding

Key concepts: Geometric sequences Apps: Sequence Activity Solution

### Activity 28: Average speed

Key concepts: The gradient of a chord on a distance time graph is the average speed Apps: Main, Graph&Table Activity Solution

### Activity 29: Speed at an instant

Key concepts: Informally look at instantaneous speed during acceleration Apps: Main Activity Solution

### Activity 30: Gradient of a tangent

Key concepts: Numerically investigate gradient of a tangent to a curve Apps: Geometry, Graph&Tab Activity Solution

Key concepts: Sketch curves and relate key features of a function with its derivative function. Apps: Graph&Table Activity Solution

### Activity 32: Differentiate

Key concepts: Compute derivatives Apps: Main Activity Solution

### Activity 33: Tangents

Key concepts: Equation of tangents Apps: Main Activity Solution

### Activity 34: Modelling motion

Key concepts: Application of differential calculus to rectilinear motion Apps: Statistics, Main Activity Solution

### Activity 35: Amanda’s survey

Key concepts: Measuring in 2D using Trigonometry Apps: Geometry Activity Solution

### Activity 36: Curious cubics

Key concepts: Differential calculus Apps: Main Activity Solution

### Activity 1: Permutations

Key concepts: Multiplication principle Apps: Main Activity Solution

### Activity 2: Factorial!

Key concepts: Properties of factorials Apps: Spreadsheet Activity Solution

### Activity 3: Pascal’s triangle

Key concepts: Generate Pascal’s triangle recursively in a spreadsheet Apps: Spreadsheet Activity Solution

### Activity 4: Combinations

Key concepts: Counting techniques and notation Apps: Main Activity Solution

### Activity 5: Choices

Key concepts: Counting techniques Apps: Main Activity Solution

### Activity 6: Magnitude and direction basics

Key concepts: Use scale diagrams to solve displacement problems Apps: Geometry Activity Solution

### Activity 7: Velocity vectors

Key concepts: Solve problems involving velocity vectors Apps: Geometry Activity Solution

### Activity 8: Component vector basics

Key concepts: Explore component representation of vectors Apps: Geometry Activity Solution

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