SHS3 Additional Mathematics · Semester 1, Week 14

Spatial Reasoning

Full lesson notes coming

Notes for this lesson are being prepared. The curriculum details below are complete and ready to use for your planning.

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.7 - Describe the appropriate orientation of the parabola to the given equation.
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.
Learners in their mixed-ability groups associate the correct orientation of a parabola with its equation.
Activity 1 Modelling parabolic situations Learners work in groups to create about 5 parabolas for a project in class. Learners, in groups, play a simple game of mapping given curves to given parabolic equations.
Teaching and Learning Resources:
- SHS Curriculum, Graph boards, mathematical set, ICT tools
Assessment (3.2.1.AS.7). The document marks these depth-of-knowledge levels for this indicator: Level 3 Strategic reasoning.