Learning goals

Certified by Education Alliance Finland

The supported learning goals are identified by mapping the product against the selected reference curriculum and soft skills definitions most relevant for the 21st century.

• Practicing strategic thinking
• Practicing to look things from different perspectives
• Practicing to create questions and make justifiable arguments based on observations
• Practicing to notice causal connections
• Learning to recognise and evaluate arguments and their reasonings
• Practising visual recognition
• Practicing to observe spoken and written language
• Practicing fine motor skills
• Practicing memorizing skills
• Practicing letters, alphabets and written language
Using technology as a part of explorative and creative process
Practicing logical reasoning to understand and interpret information in different forms
Connecting subjects learned at school to skills needed at working life
Learning to plan and organize work processes
Learning consumer knowledge and smart economics
Enabling the growth of positive self-image
Encouraging to build new information and visions
Practicing to notice links between subjects learned
Learning to combine information to find new innovations
Encouraging to build new information and visions
Learning to build information on top of previously learned
Practicing to notice causal connections
Use a calculator to calculate the correlation co-efficient of a set of bivariate numerical data and make relevant deductions.
Use a calculator to calculate the linear regression line which best fits a given set of bivariate numerical data
) Represent bivariate numerical data as a scatter plot and suggest intuitively and by simple investigation whether a linear, quadratic or exponential function would best fit the data.
Use a two-dimensional Cartesian co-ordinate system to derive and apply: the equation of a circle (any centre); and the equation of a tangent to a circle at a given point on the circle.
Proof and use of the compound angle and double angle identities
Prove (accepting results established in earlier grades): that a line drawn parallel to one side of a triangle divides the other two sides proportionally (and the Mid-point Theorem as a special case of this theorem); that equiangular triangles are similar; that triangles with sides in proportion are similar; the Pythagorean Theorem by similar triangles; and riders.
Probability problems using the fundamental counting principle.
Practical problems involving optimization and rates of change (including the calculus of motion).
The ability to sketch graphs of cubic functions.
The equations of tangents to graphs
Use of the specified rules of differentiation.
Differentiation of specified functions from first principles.
Differential calculus: An intuitive understanding of the concept of a limit.
Demonstrate an understanding of the definition of a logarithm and any laws needed to solve real life problems.
Critically analyse different loan options.
Apply knowledge of geometric series to solve annuity and bond repayment problems.
Calculate the value of n in the formulae A = P(1 + i)n and A = P(1- i)n
Identify and solve problems involving number patterns that lead to arithmetic and geometric sequences and series, including infinite geometric series.
Problem solving and graph work involving the prescribed functions (including the logarithmic function).
The inverses of prescribed functions and be aware of the fact that, in the case of many-to-one functions, the domain has to be restricted if the inverse is to be a function.
Introduce a more formal definition of a function and extend Grade 11 work on the relationships between variables in terms of numerical, graphical, verbal and symbolic representations of functions and convert flexibly between these representations (tables, graphs, words and formulae). Include linear, quadratic and some cubic polynomial functions, exponential and logarithmic functions, and some rational functions.
Developing problem solving skills
Practicing creative thinking
Practicing to set one's own learning goals
Practicing to take responsibility of one's own learning
Practicing persistent working
Learning to notice causal connections
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