Year 112011

A work in progress…

Structure Why the parts are there… Term by term Which students? Tasks I like Which assessments?

Statistical reasoning Statistics Probability

Involves identifying problems that can be explored by the use of appropriate data, designing investigations, collecting data, exploring and using patterns and relationships in data, solving problems and communicating findings. Statistics also involves interpreting statistical information, evaluating data-based arguments, and dealing with uncertainty and variation.

ARE YOU

TRUE OR FALSE? I’ve spun an unbiased coin 3 times and

got 3 tails. It is more likely to be heads than tails if I spin it again.

Algebra and Graphs Algebra Graphs (Number)

Number involves calculating and estimating, using appropriate mental, written, or machine calculation methods in flexible ways. It also involves knowing when it is appropriate to use estimation and being able to discern whether results are reasonable. Algebra involves generalising and representing the patterns and relationships found in numbers, shapes, and measures

GENERALLY GENERALISING…

 E – Explain the strategy or method used to solve the problem.

G – Give other examples that use the same strategy or method.

G – Generalise – use algebra to show the underlying structure.

Number trick Give me three numbers…

Squares and derivations Explore multiplying consecutive

numbers: x(x-1), vs x(x+1)? Numbers with a difference of two: (x-1)(x+1)

Create the picture Starburst…

Island Paradise

Mark from Bream Bay

 

Contract price/month

Number of ‘free’ minutes

Price of each call after free minutes used

upTelecom $79.95 180 44c / minVodafone $50 200 55c / minor

The table above shows an average typical contract plan for Vodafone and Telecom.Use this information to construct an argument for either Telecom or Vodafone.

Geogebra tasks

Geometric reasoning Geometry Measurement (Number)

Geometry involves recognising and using the properties and symmetries of shapes and describing position and movement. Measurement involves quantifying the attributes of objects, using appropriate units and instruments. It also involves predicting and calculating rates of change.

Geometric ReasoningA B C D

E F G

66oABE = CBF

AD EG

Applying Past

Knowledge

LINES POLYGONSPARALLEL

LINESCIRCLESTRIANGLES

Proof

Vitruvian Man

NZ Icons How realistic is the Ohakune Carrot?

Big Pineapple, Trout, L and P bottle…

Thoughts, plans I would, I wouldn’t, I might… Discuss in group Feedback in …