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.2 - Explore the graphs of quadratic functions with different parameters using technological tools such as GeoGebra, Geometer's sketchpad, etc., other available materials, or by hand.

Suggested placement

Semester 1, Week 9 (Week 9 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.

Source document note

The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

• exemplars - p.479: adjacent duplicated CambriaMath characters were collapsed, but this PDF also maps some equation glyphs to the wrong letter or operator; verify every mathematical expression in this row against the rendered page

Curriculum reference

NaCCA curriculum document, p. 479

Exemplars (from the NaCCA curriculum)

Think-pair-share, Talk for Learning, and Building on what others say.
Learning Experience: Learners in groups explore the shapes of a parabola given various quadratic equations.
Activity 1: Sketching graphs of parabola Learners in groups sketch a variety of parabolas using technological tools such as GeoGebra,
Geometer's sketchpad, etc., and other available materials or by hand and then investigate how the parabola shape transforms as parameters/coefficients change.
Example 1: Sketch 𝑦 = 𝑥 ) − 4𝑥 + 5

Example 2: Sketch 𝑦 = −2𝑥 ) + 4 

Activity 2: Learners in other groups create a quadratics equation for other groups to sketch.
Teaching and Learning Resources:
- SHS Curriculum, Graph boards, mathematical set, ICT tools
Assessment (3.2.1.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall.