Progression Step 5:

 

Progression Step 5 in the Curriculum for Wales Mathematics and Numeracy Area of Learning and Experience (AoLE) is designed for learners aged 14–16 (Years 10–11). It focuses on mastering complex concepts, applying sophisticated logical reasoning, and developing independent strategic competence, often demonstrated through abstract representations and justifying solutions.

 

Key Areas of Learning (Progression Step 5):

  • Context: Aligns with GCSE-level learning and preparation for further education or the workplace.
  • Conceptual Understanding & Fluency: Learners deepen understanding of mathematical relationships, moving towards abstract, symbolic, and formal representations.
  • Logical Reasoning & Proof: Students at this stage can justify and prove mathematical statements, moving from concrete examples to increasingly abstract arguments.
  • Strategic Competence: Learners are increasingly independent, identifying the best mathematical tools to solve complex, unfamiliar problems.
  • Data and Graphs: Key skills include interpreting, analyzing, and drawing conclusions from data and complex graphs (including those in the media), while understanding limitations and potential misrepresentations.
  • Key Topics: Involves advanced number work, algebraic manipulation, geometric proof (including trigonometry), and critical data analysis.

 

Hwb resources for Progression Step 5.

 

Skills list for Progression Step 5:

 

The number system:

- I can recognise and define limitations on accuracy of measurements, e.g. upper and lower bounds.

 

Calculation:

- can use multipliers as an efficient method when working with percentages, e.g. multiply by 1.2 to increase an amount by 20%.

- I  can use and understand the idea of reverse percentage to find an original quantity.

 

Financial Literacy:

- I can understand and demonstrate the real-life process of foreign exchange.

- I can understand and calculate income tax and understand the implications of taxation.

 

Measurement:

- I can understand and use a variety of compound measures.

 

Shape and Space:

- I can apply proportional change to two-dimensional designs.

 

Angle:

- I can measure and draw angles.

 

Collecting Data:

- I can collect data in a suitable way according to my hypothesis.

 

Representing Data:

- I can select and construct appropriate charts, diagrams and graphs with suitable scales.

 

Interpreting Data:

- I can interpret graphs that describe real-life situations, including those used in the media, recognising that some graphs may be misleading.

- I can interpret mathematical information; drawing inferences from graphs, diagrams and data, including discussion on limitations of data.

- I can draw conclusions from data and recognise that some conclusions may be misleading or uncertain.