Spatial Reasoning

Curriculum details

Strand

Geometric Reasoning and Measurement (Strand 2)

Sub-strand

Spatial Reasoning (2.1)

Content standard

3.2.1.CS.1 - Demonstrate an understanding of Parabola and its properties. 3.2.1.LO.1 Construct a parabola of a given quadratic equation (𝑦 = 𝑎𝑥 ) + 𝑏 + 𝑐) and explain its key features 3.2.1.LO.2 Sketch a parabola and use it to deduce the relation 𝑦 ) = 4𝑎 3.2.1.LO.3 Sketch a parabola given the directrix Communication: Provide learners the opportunity to engage and and focus. 3.2.1.LO.4 Deduce the equation of the tangent and normal to a parabola

Indicator

3.2.1.LI.8 - Use directrix and focus to sketch a parabola.

Suggested placement

Semester 1, Week 14 (Week 14 of the year)

Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.

Curriculum reference

NaCCA curriculum document, p. 492

Exemplars (from the NaCCA curriculum)

Experiential Learning, Talk for Learning, Group work, Building on what others say and Project-based Learning.
Learning Experience: Learners in mixed-ability groups sketch parabolas using directrix and focus.
Activity 1: Learners in the various groups recall the equation of a parabola, its directrix, vertex, and focus.
Activity 2: Sketching a parabola given the directrix and focus Learners in groups through Talk for Learning apply their knowledge in a parabola to establish how they can use the directrix and focus to draw a parabola.
Activity 3: Learners create and pose problems using the directrix and focus to sketch a parabola for other groups to solve.
Teaching and Learning Resources:
- SHS Curriculum, Graph boards, mathematical set, ICT tools
Assessment (3.2.1.AS.8). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.