Te Kete Ipurangi
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## Senior Secondary navigation

Activities:

Activities:

Maths activities:

Stats activities:

# Short themes

## Energy efficiency

• Wikipedia - Carbon credit:
• Offsetting
• Modelling
• How much carbon can a tree absorb?
• For different fuel rates, how much carbon produced per km?
• How many trees for a flight, a car journey?
• Global warming
• Promoting NZ:
• Takes less carbon to produce meat here.
• Sources of energy:
• Coal/wind/water/solar
• Efficiency of solar panels – size, shape, start-up cost.
• Price of petrol varies with price of oil:
• Fuel tax
• Comparison of fuel prices internationally.
• Conversion from local currency to NZ currency.
• Water:
• 100ml of rain – how much in a reservoir?
• Catchment area – how much is absorbed or not?
• Filling rate
• Coming out rate
• Water usage tracking
• Power bills:
• Time series – usage, cost, gas, power.

### Possible achievement objectives

Select from below depending on the teaching and learning activities chosen.

#### Number strategies and knowledge

• NA5-1 Reason with linear proportions.
• NA5-4 Use rates and ratios.
• NA5-5 Know commonly used fraction, decimal, and percentage conversions.
• NA5-6 Know and apply standard form, significant figures, rounding, and decimal place value.
• NA6-1 Apply direct and inverse relationships with linear proportions.
• NA6-3 Apply everyday compounding rates.
• NA6-4 Find optimal solutions, using numerical approaches.

#### Equations and expressions

• NA5-7 Form and solve linear and simple quadratic equations.
• NA6-5 Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns.

#### Patterns and relationships

• NA5-9 Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
• NA6-7 Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.
• NA6-8 Relate rate of change to the gradient of a graph.

#### Measurement

• GM5-2 Convert between metric units, using decimals.
• GM5-4 Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders.
• GM6-2 Apply the relationships between units in the metric system, including the units for measuring different attributes and derived measures.
• GM6-3 Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae.

#### Statistical investigation

• S5-1 Plan and conduct surveys and experiments using the statistical enquiry cycle:
• C – gathering and cleaning data
• D – using multiple displays, and re-categorising data to find patterns, and trends in multivariate data sets
• F – presenting a report of findings.
• S6-1 Plan and conduct investigations using the statistical enquiry cycle:
• C – identifying and communicating features in context (trends), using multiple displays.

## Baking

Compare and contrast different recipes for a particular favourite cake or biscuit, for example, ginger crunch.

• Number of ingredients.
• Quantity of flour, baking powder, ginger, butter, sugar etc.
• Number of pieces it makes.
• Temperature to cook at.
• Time taken to cook.
• Taste testing:
• set-up criteria
• get everyone to try cake and rank for each criteria
• decide on a best ginger crunch using evidence from taste testing
• does your class get the same best ginger crunch as the class next door?
• Cost per slice (what size is a slice?).
• Scale up to make for the whole class.
• Cost for the whole class.
• If your four-year-old cousin, who is cooking with you, puts in an extra cup of flour, what do you do now?
• Comparing NZ recipes with US, Australian, German, etc.
• Make packaging for the product, one piece, two pieces, the whole cake.

### Possible achievement objectives

Select from below depending on the teaching and learning activities chosen.

#### Number strategies and knowledge

• NA5-1 Reason with linear proportions.
• NA5-3 Understand operations on fractions, decimals, percentages, and integers.
• NA5-4 Use rates and ratios.
• NA6-1 Apply direct and inverse relationships with linear proportions.

#### Measurement

• GM5-1Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
• GM5-2 Convert between metric units, using decimals.
• GM6-1 Measure at a level of precision appropriate to the task.

#### Shape

• GM5-6 Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations.

#### Statistical investigation

• S5-1 Plan and conduct surveys and experiments using the statistical enquiry cycle:
• A – determining appropriate variables and measures
• B – considering sources of variation
• C – gathering and cleaning data
• D – using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets
• E – comparing sample distributions visually, using measures of centre, spread, and proportion
• F – presenting a report of findings.
• S6-1 Plan and conduct investigations using the statistical enquiry cycle:
• A – justifying the variables and measures used
• B – managing sources of variation, including through the use of random sampling
• C – identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays
• D – making informal inferences about populations from sample data
• E – justifying findings, using displays and measures.

## Planes

• Throw the planes:
• Find the direction it flies.
• Measure the distance it flies.
• What is the best design?
• Stunts, distance, speed?

### Possible achievement objectives

Select from below depending on the teaching and learning activities chosen.

#### Measurement

• GM5-1 Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
• GM6-1 Measure at a level of precision appropriate to the task.

#### Position and orientation

• GM5-7 Construct and describe simple loci.
• GM5-8 Interpret points and lines on co-ordinate planes, including scales and bearings on maps.
• GM6-7 Use a co-ordinate plane or map to show points in common and areas contained by two or more loci.

#### Statistical investigation

• S5-1 Plan and conduct surveys and experiments using the statistical enquiry cycle:
• A – determining appropriate variables and measures
• B – considering sources of variation
• C – gathering and cleaning data
• D – using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets
• E – comparing sample distributions visually, using measures of centre, spread, and proportion
• F – presenting a report of findings.
• S6-1 Plan and conduct investigations using the statistical enquiry cycle:
• A – justifying the variables and measures used
• B – managing sources of variation, including through the use of random sampling
• C – identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays
• D – making informal inferences about populations from sample data
• E – justifying findings, using displays and measures.

## Recycling

• Products:
• glass, paper, plastic
• Variables:
• volumes, cost

#### Measurement

• Containers
• Recycling bins, home versus business versus school.

#### Statistics

• Collect data.
• Mean volumes per month.
• Different proportions of the different types of products.
• Recycled vs thrown out.
• Organic waste recycling.

#### Probability

• Simulation of quantities over a year, for example:
• Christmas maybe 40% of year’s recycling due to mailers, presents=packaging to throw out, more food.

#### Number

• Comparison of rates of recycling between countries.

#### Graphs

•  Compare volumes and mixes of types of recycling within NZ, between countries.

### Possible achievement objectives

Select from below depending on the teaching and learning activities chosen.

#### Number strategies and knowledge

• NA5-1 Reason with linear proportions.
• NA5-4 Use rates and ratios.
• NA5-5 Know commonly used fraction, decimal, and percentage conversions.
• NA6-1 Apply direct and inverse relationships with linear proportions.

#### Patterns and relationships

• NA5-9 Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
• NA6-7 Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns.

#### Measurement

• GM5-1 Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
• GM5-2 Convert between metric units, using decimals.
• GM6-1 Measure at a level of precision appropriate to the task.
• GM6-2 Apply the relationships between units in the metric system, including the units for measuring different attributes and derived measures.

#### Statistical investigation

• S5-1 Plan and conduct surveys and experiments using the statistical enquiry cycle:
• A – determining appropriate variables and measures
• B – considering sources of variation
• C – gathering and cleaning data
• D – using multiple displays, and re-categorising data
• E – comparing sample distributions visually, using measures of centre, spread, and proportion
• F – presenting a report of findings.
• S6-1 Plan and conduct investigations using the statistical enquiry cycle:
• A – justifying the variables and measures used
• B – managing sources of variation, including through the use of random sampling
• C – identifying and communicating features in context, using multiple displays
• D – making informal inferences about populations from sample data
• E – justifying findings, using displays and measures.

#### Statistical literacy

• S5-2 Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings.
• S6-2 Evaluate statistical reports in the media by relating the displays, statistics, processes, and probabilities used to the claims made.

#### Probability

• S5-4 Calculate probabilities, using fractions, percentages, and ratios.
• S6-3 Investigate situations that involve elements of chance:
• B – calculating probabilities in discrete situations.

• Paper planes:

## Achievement standards

Learning from these short themes could potentially provide evidence towards the following achievement standards.

• AS91026 Mathematics and statistics 1.1 Apply numeric reasoning in solving problems – 4 credits; Internal
• AS91028 Mathematics and statistics 1.3 Investigate relationships between tables, equations and graphs – 4 credits; External
• AS91029 Mathematics and statistics 1.4 Apply linear algebra in solving problems –3 credits; Internal
• AS91030 Mathematics and statistics 1.5 Apply measurement in solving problems – 3 credits; Internal
• AS91035 Mathematics and statistics 1.10 Investigate a given multivariate data set using the statistical enquiry cycle – 4 credits; Internal
• AS91036 Mathematics and statistics 1.11 Investigate bivariate numerical data using the statistical enquiry cycle – 3 credits; Internal
• AS91037 Mathematics and statistics 1.12 Demonstrate understanding of chance and data – 4 credits; External
• AS91038 Mathematics and statistics 1.13 Investigate a situation involving elements of chance – 3 credits; Internal

Last updated May 31, 2017