sample unit mathematics stage 5 - stem pathway: unit 6
TRANSCRIPT
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 1 of 15
Stage 5: Mathematics STEM Theme Park Unit 6 sample program
Overview Duration
In Theme Park students will recall, re-learn and develop the following essential skills:
independent and dependent variables
coordinate pairs and substitution of 𝑥values into an equation to obtain 𝑦values
a set of coordinate pairs can be joined with a smooth curve to show the graph of an equation
correct use of mathematical conventions for graphing
calculator use with numbers in index form
statistics as a useful justification in decision-making
In Theme Park students will develop the following essential STEM understandings:
technological and social advancements can be made in relative safety due to the mathematics of describing curves, growth and change.
from drug dosages to financial investments, launching satellites to servicing roller-coasters, predicting populations and their growing needs, researchers and developers refer to a set of trusted equations.
12 weeks
Outcomes
A student:
graphs simple non-linear relationships (MA5.1‑7NA)
solves financial problems involving compound interest (MA5.2‑4NA)
connects algebraic and graphical representations of simple non-linear relationships (MA5.2‑10NA)
interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems (MA5.2-2WM)
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 2 of 15
Language/Literacy STEM
During discussion, draw natural connections between the students’
informal descriptions and gestures to the mathematical language of
concepts, shapes and formulas.
This unit provides the opportunity to consider that a theme park is driven
by STEM – an almost perfect example of all its elements coming
together. From the science of G-forces to the engineering of railway
tracks and all the special effects that technology can fit in between, it is
mathematics that describes all of the design, the workings and the costs.
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 3 of 15
Content Teaching and Learning STEM Resources and Stimulus
construct dot plots
explain the importance of aligning
data points when constructing dot
plots (Communicating,
Reasoning)
Activity 1: ‘How would you spend your $30?’
Note: This activity assumes that students have had the introductory
class discussion described above in the ‘student engagement’.
The teacher issues $30 of imaginary money to each student.
The teacher displays the rides shown at this link – each costs
$10 per ride.
Each student chooses THREE rides on which to spend their
money.
Students create a dot plot collating selections and discuss what
this reveals about the popularity of each ride.
The teacher requests students to record 3 insights for the future
design of their own rollercoaster.
Link to learning:
The teacher consolidates prior student understanding of how to
represent and interpret data to inform decisions.
The teacher relates student understanding of data to the needs of
customers and the processes of design.
The discussion of a rating system can be directed by teachers to
include appropriate statistical vocabulary and further develop
student understanding of categorical and numerical data.
Mathematics/ hospitality
industries: Working with
Customers is a specified outcome.
Students are to identify customer
needs and expectations, including
those of customers with special
needs.
Challenge activity: “Access all
areas”.
Students consider those within their
own age-group with special needs
that might impede their ability to
access aspects of an amusement
park.
Search online for site maps of at
least four Australian
theme/amusement parks.
As a class, develop a rating system
and use it to rank the parks
according to how accessible they
are for young people with special
needs.
use digital technologies to graph simple circles, eg
𝑥2 + 𝑦2 = 1, 𝑥2 + 𝑦2 = 4
recognise and describe equations
Activity 2: ‘The Pirate Ship Circle’
Students read the resource: ‘The Pirate Ship and other circular
rides’: https://www.tes.com/teaching-resource/the-pirate-ship-
and-other-circlular-rides-11436040.
STEM/VET/agricultural industries:
Students search for images of
circlular irrigation systems and
hence realise that farmers make
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 4 of 15
Content Teaching and Learning STEM Resources and Stimulus
that represent circles with centre the origin and radius 𝑟
sketch circles of the form 𝑥2 + 𝑦2 = 𝑟2 where 𝑟 is the radius
of the circle
recognise the graph of a circle that
has been translated ‘left or right’
and/or ‘up or down’
Students use a digital tool such as Desmos or GeoGebra to
graph circles with their centre at origin:
o 𝑥2 + 𝑦2 = 1
o 𝑥2 + 𝑦2 = 4
o 𝑥2 + 𝑦2 = 9
Students generalise to identify the equation of the circle: 𝑥2 +
𝑦2 = 𝑟2
Students discuss how the size of the circle changes when the
value of 𝑟 changes.
Students explore the worksheet: ‘Exploring the equations of
circles’: https://www.tes.com/teaching-resource/exploring-the-
equations-of-circles-11436039 and discuss how each point on a
circle has a pair of 𝑥, 𝑦 coordinates that satisfy the equation
𝑥2 + 𝑦2 = 𝑟2
Using grid paper or workbooks, students sketch several graphs
of circles of the form 𝑥2 + 𝑦2 = 𝑟2
Differentiation:
Structured - Based on a diagram, students can identify and
describe a circle in terms of its centre and radius: centre moves
up, down, left or right; radius gets larger or smaller.
Extension - Students use digital graphing tools such as Desmos
or GeoGebra tos investigate circles of the form (𝑥 − ℎ)2 +
(𝑦 − 𝑘)2 = 𝑟^2
Extension - Students use the resource: ‘Interactive Equation of a
Circle’:
http://www.mathwarehouse.com/geometry/circle/interactive-
circle-equation.php
Extension - Given a diagram, students can describe its centre
regular use of the equations of
circles.
Stage 5 Science (Physical World)
students apply models, theories and
laws to explain situations involving
energy, force and motion.
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 5 of 15
Content Teaching and Learning STEM Resources and Stimulus
and radius in terms of (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2
and given an equation in this form , students can sketch the
circle.
Link to learning:
Students consider a real amusement ride that moves its passengers
around a perfect circle, in order to learn about circles in a given
context. Students answer questions about the size and location of
the circle, which can lead to understanding about transforming the
basic shape. Students discuss whether every seat is equally
‘thrilling’.
Differentiation:
Extension - Students discuss centripetal force and how it
produces sensations of ‘weightlessness’ at the top of the circle
and ‘heaviness’ at the bottom of the circle. Note that this goes
beyond the syllabus for Mathematics Stage 5 but it will be useful
for those studying Science Stage 6.
Guided practice:
School-based and online worksheets could be used as resources.
connect the shape of a non-linear
graph with the distinguishing
features of its equation
(Communicating, Reasoning)
identify parabolic shapes in the
environment (Reasoning)
graph parabolic relationships of
Activity 3: ‘Mr Squiggle’ designs a roller-coaster
View the video: ‘Mr Squiggle’:
https://www.youtube.com/watch?v=zJnf7Sfbi3E
In pairs, draw a ‘squiggle’ for your partner to turn into a picture.
The squiggle must only include complete or portions of
geometrical shapes.
Teacher gives a ‘squiggle’ to each student. Students are to
STEM/VET Students watch the
video: ‘Parabolas in the real-world’:
https://www.youtube.com/watch?v=l
bMir1UAO4I could be set as
homework viewing in preparation for
this set of learning (7mins).
Science & Technology/sport
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 6 of 15
Content Teaching and Learning STEM Resources and Stimulus
the form 𝑦 = 𝑎𝑥2, 𝑦 = 𝑎𝑥2 + 𝑐
(such as 𝑦 = 𝑥2, 𝑦 = −𝑥2, 𝑦 =𝑥2 + 1, 𝑦 = −𝑥2 − 1), with and
without the use of digital
technologies
describe the effect on the graph of
𝑦 = 𝑥2 of multiplying 𝑥2 by
different numbers (including
negative numbers) or of adding
different numbers (including
negative numbers) to 𝑥2
(Communicating, Reasoning)
determine the equation of a parabola, given a graph of the parabola with the main features clearly indicated (Reasoning)
recognise the graph of a parabola
that has been translated ‘left and
right’
determine the 𝑥-coordinate of a point
on a parabola, given the y-coordinate
of the point
develop the squiggle into a roller-coaster according the rules on
‘Mr Squiggle roller coaster’: https://www.tes.com/teaching-
resource/-mr-squiggle-roller-coaster-printable-for-students-
11436034 (teacher may wish to consider: ‘Mr Squiggle roller
coaster – student work samples’: https://www.tes.com/teaching-
resource/-mr-squiggle-roller-coaster-student-work-samples-
11436038)
(Note to teachers: prepare multiple copies to allow students to try
different ideas and improve on their first attempt by comparing
with the ideas of others.)
Link to learning:
By considering a rollercoaster, students realise that straight lines
and circles may not be enough to design a good ride. Students
identify what type of line each of the construction lines were. They
then work in pairs to determine the equation of the circle
construction line.
The teacher introduces the name ‘parabola’.
Students consider where they have seen a parabola shape existing
naturally and where they have seen things move in a parabolic
shape (eg basketball). Students watch the videos: ‘Parabolas in real
life’: https://www.youtube.com/watch?v=cXOcBADMp6o and
‘Quadratic Functions and Parabolas in the Real World’:
https://www.youtube.com/watch?v=He42k1xRpbQ
Students reflect on the equations for a straight line and a circle and
discuss in pairs what the equation for a parabola might include.
Consolidation for skill development:
careers/manufacturing
industries: A ball thrown into the air
will move in the shape of a
parabola. Players and coaches use
computer graphics and the
parabolic equations to perfect the
‘launch’ technique. Industrial
engineers use similar tools to keep
their companies in the race to be
market leaders in the production of
sporting equipment.
Activity: (ideally students are taken
outside for this activity, but it can be
conducted in the classroom with a
soft ball/bean bag or similar)
Using a large hoop or bin,
blindfolded students are coached by
sighted students to get a ball into a
‘goal’. Students will find that
instructions about height will be as
important as instructions about
direction. During the activity
teachers can point out to students
that they are describing key features
of parabolas.
In terms of rollercoaster design, the
ball is the cart and its flight path is
the track. In pairs, students pass a
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 7 of 15
Content Teaching and Learning STEM Resources and Stimulus
Students explore an interactive parabola by tracking the 𝑥 and
𝑦coordinates along the curve to observe that the parabola is
made up of infinitely many of points.
Students use substitution to complete a table of values and then
use the values to plot various parabolas of the forms:
𝑦 = 𝑎𝑥2, 𝑦 = 𝑎𝑥2 + 𝑐. Students complete the worksheet:
‘Parabolas – Skill practice’: https://www.tes.com/teaching-
resource/parabolas-skill-practice-11436018
Using a digital graphing tool such as Desmos, students
investigate parabola transformations. Students complete the
worksheet: ‘Investigate parabola transformations’:
https://www.tes.com/teaching-resource/investigate-parabola-
transformations-11436023
Differentiation (language):
Structured - moves up or down, left or right, gets wider or
narrower.
Extension - translation.
The teacher presents other examples of parabolas that have been
translated left or right for observation and discussion.
Differentiation:
Extension - students use a digital tool such as Desmos to
investigate left and right translations of the parabola 𝑦 =
𝑎𝑥2. Students use the interactive resources: ‘Angry birds love
parabolas’: https://www.geogebra.org/m/F4GMYu83 and ‘The
transformations of the parabola – h’:
https://www.geogebra.org/m/PcDqkDw8
ball to model what they think is the
ideal steepness of a rollercoaster.
Teachers moving between pairs can
assist students with visualising the
model on a larger scale.
Engineering/construction
industries: Students consider - is
Sydney harbour bridge a parabola,
a semi-circle, neither?
Engineering/design industries:
While major engineering works
often use parabolic shapes, even
the simple water fountain can be
better designed when the engineer
considers the ‘shape’ of the water
flow. Students compare the pros
and cons of drinking fountains
where the water shoots straight up
and those that send the water in a
parabolic arc.
STEM challenge: For students:
Your theme park requires drinking
fountains. You are going to design
and test some models before
deciding what type you want to
instal.
Students work on the activity:
‘Water Fountain’:
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 8 of 15
Content Teaching and Learning STEM Resources and Stimulus
Consolidation of learning by experience:
The teacher explicitly teaches the equation of a parabola
Guided practice:
School-based and online worksheets could be used as
resources.
‘Parabolas – skill practice’: https://www.tes.com/teaching-
resource/parabolas-skill-practice-11436018
http://tryengineering.org/lesson-
plans/water-fountain, which is a
fully-described teacher resource
with student worksheets (three to
four lessons).
sketch, compare and describe, with and without the use of digital technologies, the key features of simple exponential curves, eg sketch and describe similarities and differences of the graphs of
y = 2x, y = −2x, y = 2−x, y = −2−x, y = 2x + 1, y = 2x − 1
recognise the graph of an exponential that has been translated ‘left or right’ and/or ‘up or down’
Activity 4: The exponential climb
Discussion: So far you have straight lines, circular paths and
parabolic curves to use in your designs. Is there a type of curve that
is quite common in roller-coasters but not included in this list?
Students watch the video: ‘The Tower of Terror II’:
https://www.youtube.com/watch?v=vsDnBIn1ouk&feature=youtu.be
Students ‘sketch’ in the air the shape they think this roller- coaster
must be. (Note to teachers: it might be argued that this roller-coaster
is something other than exponential in shape. However, for the
purposes of this STEM-VET Pathway it is a sufficient and useful
real-world approximation for students.)
Students discuss: ‘Could the lower half of this example offer a useful
design element for the beginning and/or end of your roller-coaster?’
Consolidation for skill development:
The teacher explicitly teaches:
the name, shape and basic equation of exponentials
how to enter an exponential equation into a digital graphing tool
including the use of ^ where index notation is not allowed for ‘to
Science/human services
industries/primary
industries/financial industries:
While the emphasis of this unit is on
the physical shape of an
exponential curve so that students
can develop their design, many real-
world applications of exponential
equations are concerned with
counting population or investment
growth.
Do farmers still worry about rabbit
populations? What do students
know about the Australian rabbit
plague of the early 1900s?
Online resources demonstrate the
exponential growth of populations,
for example:
‘Exponential growth in the real
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 9 of 15
Content Teaching and Learning STEM Resources and Stimulus
the power of’.
Development:
1. Students explore variations of the basic equation and changes to
the basic curve using a digital graphing tool. (Use a similar
methodology as for parabolas.)
2. The teacher formalises student observations with diagrams,
equations and explanations for each of 𝑦 = 2𝑥 , 𝑦 = −2𝑥, 𝑦 =
2−𝑥, 𝑦 = −2−𝑥,
𝑦 = 2𝑥 + 1, 𝑦 = 2𝑥 − 1
3. students investigate – ‘Why do the graphs behave this way?’
a. Calculator exercise (Note to teachers: this will revise
scientific notation as calculators will present answers in this
form.)
Students create a table of values that includes
𝑥 = −10, −5, −1, 0, 1, 5, 10.
Students plot points and join with a smooth curve.
b. Students discuss the point at 𝑥 = 0. Were any students
expecting (0, 0)? If so, they are interpreting the index as
multiplication.
c. Students discuss: ‘What do you think 𝑦 will equal when
𝑥 = 20? When 𝑥 = −20?’
d. Students discuss: ‘Will the graph ever go below the 𝑥axis?’
The teacher defines ‘horizontal asymptote’ and demonstrate
the convention for showing these on a graph.
Guided practice: School-based and online worksheets could be
used as resources.
world’:
http://www.mathwarehouse.com/
exponential-growth/exponential-
models-in-real-world.php
‘Going Viral’:
https://www.tes.com/teaching-
resource/going-viral-11344185
which considers a case of
exponential growth that students
encounter in their social media all
the time.
What about people in the human
services industries? Health care
requires ongoing data about human
populations so that effective
planning can be done. Diseases can
also spread with an exponential
pattern.
Students discuss: ‘Do any students
now realise they are likely to
encounter an exponential graph or
calculation in their future careers?’
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 10 of 15
Content Teaching and Learning STEM Resources and Stimulus
Differentiation:
Structured:
o Students recognise and name exponential curves
o Students use digital technologies to generate curves from
exponential equations
Extension :
o Students recognise and name exponential curves and
give quantitative descriptions of translations
o Students give the equation of curves with one and two
transformations
o Students sketch the curves of exponential equations
without the aid of digital technologies including those with
two transformations
The video: ‘Super Base (WSHS Math Rap Song):
https://www.youtube.com/watch?v=QIZTruxt2rQ&feature=youtu.be
is a fun way to remind students of some things they have previously
studied about bases.
use a spreadsheet to graph the value of an investment of a particular amount at various compound interest rates over time (Problem Solving)
use graphs of the value of an investment earning compound interest over time to determine the number of time periods required to obtain a particular
Activity 6: Financial graphs
Investigation: ‘What does it cost to build a waterslide?’
For students:
Now that you have completed your roller-coaster and it’s drawing
crowds from far and wide, you want to build an awesome
waterslide in your theme park
Consider the cost of building a theme park waterslide and then
discover the impact of interest on the actual cost if the money
must be borrowed
Technology/financial services:
Students need to know the sources
of information commonly used in
financial services to compile
information about financial
operations including data and
statistics involving compound
interest tables and loan calculators.
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 11 of 15
Content Teaching and Learning STEM Resources and Stimulus
total amount (Problem Solving)
predict the shape of a graph showing the total value of an investment earning simple interest when its equation is 𝐴 = 𝑃 + 𝐼 and 𝐼 = 𝑃𝑅𝑇, hence, 𝐴 = 𝑃 + 𝑃𝑅𝑇
use digital technologies to compare interest earned for a particular investment when the interest is calculated as compound interest and as simple interest by graphing both on the same axis
compare the shape of a graph showing the value of an investment earning compound interest over time to that of the basic exponential curve
use digital technologies to compare investments for different compounding periods by graphing both on the same set of axes
Students complete the activity: ‘Theme Park Waterslide Loan
Spreadsheet’: https://www.tes.com/teaching-resource/theme-park-
waterslide-loan-spreadsheet-11435984
Link to learning:
Throughout this unit curves have mostly been considered as
physical structures. As interest calculations also form curves, they
provide a good opportunity to ensure that students do not lock into
thinking graphs of equations are only concerned with the physical
world.
Additional learning opportunity:
By using a spreadsheet to generate ongoing interest calculations
and hence plot account balances against time, the understanding of
curves as lines joining points created by calculations is reinforced.
Students could be given opportunity to practice their spreadsheet
skills.
Consolidation for skill development:
Scenario: The students need a loan to cover the cost of building the
new waterslide in their theme park. Students use the pre-made
spreadsheet and included instructions to compare two different loan
offers – one simple interest and the other compound interest.
(Share with students and have each make their own copy to edit.)
Students also consider the type of graph produced and experiment
with values to see changes to the graph.
Differentiation:
Structured - Students use the spreadsheet worksheet with
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 12 of 15
Content Teaching and Learning STEM Resources and Stimulus
graphs already set up to respond to tables of values and fit
trendlines.
Extension - Students design and create the spreadsheet
themselves and/or create their own graph using the data.
Guided practice:
Students complete the worksheet: ‘Interest rate curves’:
https://www.tes.com/teaching-resource/interest-rate-curves-
11436013
use the formula to find compound
interest: 𝐴 = 𝑃(1 + 𝑅)𝑛 where 𝐴 is the total amount, 𝑃 is the
principal, 𝑅 is the interest rate per compounding period as a
decimal, and 𝑛 is the number of compounding periods
compare the total amounts obtained for a particular investment when the interest is calculated as compound interest and as simple interest, eg compare the total amount
obtained when $10,000 is invested at an interest rate of 6% per annum compounded monthly for 5 years, with the total amount obtained when the interest is calculated as simple interest (Problem Solving)
calculate and compare
Explicit teaching of the compound interest formula including revision
of the simple interest formula.
Differentiation:
Structured - interest compounds annually
o calculate 𝐴 given 𝑃, 𝑅 and 𝑛
o calculate interest earned from 𝐴 and 𝑃
o emphasis on substituting information into the equation
Extension - include
o calculate and compare investments for different
compounding periods
Apply to roller-coaster project: Is it a good investment?
Students search online to discover the typical cost of building a
modern theme park roller-coaster.
Students calculate and compare investing that amount of money
in a compound interest account for five years. (Conditions of
investment including compounding periods to correspond to
differentiated teaching.)
STEM/VET
Does all research have to result in
profit?
Do all developments have to make
a profit?
Does all work have to result in
earning an income?
Cross-KLA opportunity for
discussion and further engagement
with these questions in Commerce,
Science, English and other subjects.
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 13 of 15
Content Teaching and Learning STEM Resources and Stimulus
investments for different compounding periods, eg calculate and compare the value of an investment of $3000 at an
interest rate of 6% per annum after 5 years when the interest is compounded annually, as opposed to the interest being compounded monthly (Problem Solving)
Students discuss: ‘Can a roller-coaster earn this amount of
money in the same period?’
Students research customer capacity for a modern theme park
roller-coaster.
Students calculate anticipated earnings and compare to total
cost of the investment.
Students discuss: ‘If a roller-coaster makes a loss, why would
anybody build one?’
Guided practice:
School-based and online worksheets could be used as resources.
connect the shape of a non-linear graph with the distinguishing features of its equation (Communicating, Reasoning)
identify parabolic shapes in the environment (Reasoning)
Extension STEM Activity: “Firework display on opening night”
For students: Your theme park is about to open. You are planning a
major event to celebrate this, including a firework display.
Students research how fireworks are launched.
Students do the activity: ‘Water rocket launch’:
http://tryengineering.org/lesson-plans/water-rocket-launch, which
may take up to four lessons
Differentiation:
Structured - focus on construction and observation of the rocket
launch
Extension - students study the associated explanatory notes
which include information about the Physics of a rocket launch
Science &
Technology/entertainment
industries: The parabolic pathways
of fireworks are calculated to ensure
audience safety and a spectacular
performance.
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 14 of 15
Assessment strategies
Activity: Design and pitch your design of a roller-coaster
Topic test: Short answer and multiple-choice test based on Content
Student self-evaluation: Students rate their own development through this unit – their understanding and skills, their application to learning and
working mathematically. Students discuss these with one another and then with teacher 'For Learning' in order to identify their readiness to move
on to the next topic and personal learning objectives they might set themselves for the next topic.
Resources overview
URLs of linked resources:
Teaching and Learning URLs of linked resources
‘The Pirate Ship and other circular rides’: https://www.tes.com/teaching-resource/the-pirate-ship-and-other-circlular-rides-11436040
‘Exploring the equations of circles’: https://www.tes.com/teaching-resource/exploring-the-equations-of-circles-11436039
‘Interactive Equation of a Circle’: http://www.mathwarehouse.com/geometry/circle/interactive-circle-equation.php
Video: ‘Mr Squiggle’: https://www.youtube.com/watch?v=zJnf7Sfbi3E
‘Mr Squiggle roller coaster’: https://www.tes.com/teaching-resource/-mr-squiggle-roller-coaster-printable-for-students-11436034
‘Mr Squiggle roller coaster – student work samples’: https://www.tes.com/teaching-resource/-mr-squiggle-roller-coaster-student-work-samples-
11436038
‘Parabolas in real life’: https://www.youtube.com/watch?v=cXOcBADMp6o
‘Quadratic Functions and Parabolas in the Real World’: https://www.youtube.com/watch?v=He42k1xRpbQ
‘Parabolas – Skill practice’: https://www.tes.com/teaching-resource/parabolas-skill-practice-11436018
‘Investigate parabola transformations’: https://www.tes.com/teaching-resource/investigate-parabola-transformations-11436023
‘Angry birds love parabolas’: https://www.geogebra.org/m/F4GMYu83
‘The transformations of the parabola – h’: https://www.geogebra.org/m/PcDqkDw8
‘The Tower of Terror II’: https://www.youtube.com/watch?v=vsDnBIn1ouk&feature=youtu.be
‘Super Base (WSHS Math Rap Song): https://www.youtube.com/watch?v=QIZTruxt2rQ&feature=youtu.be
‘Theme Park Waterslide Loan Spreadsheet’: https://www.tes.com/teaching-resource/theme-park-waterslide-loan-spreadsheet-11435984
NSW Education Standards Authority – Sample unit Mathematics Stage 5 - STEM Pathway: Unit 6 Theme Park Page 15 of 15
Resources overview
‘Interest rate curves’: https://www.tes.com/teaching-resource/interest-rate-curves-11436013
‘Water rocket launch’: http://tryengineering.org/lesson-plans/water-rocket-launch
‘STEM Resources and Stimulus URLs of linked resources
‘Parabolas in the real-world’: https://www.youtube.com/watch?v=lbMir1UAO4I
‘Water Fountain’: http://tryengineering.org/lesson-plans/water-fountain
‘Exponential growth in the real world’: http://www.mathwarehouse.com/exponential-growth/exponential-models-in-real-world.php
‘Going Viral’: https://www.tes.com/teaching-resource/going-viral-11344185
Sites showing careers that use maths:
Plus Magazine – career interviews: https://plus.maths.org/content/Career
Get the Math: http://www.thirteen.org/get-the-math/
Teacher Evaluation of Unit