Patterns and Relations

Curriculum details

Strand

Algebraic Reasoning (Strand 2)

Sub-strand

Patterns and Relations (2.2)

Content standard

3.2.2.CS.1 - Demonstrate understanding of the concept of quadratic functions and equations and solve real-life problems with them. 3.2.2.LO.1 Solve problems on quadratic functions and equations, including real-life problems.

Indicator

3.2.2.LI.4 - Use quadratic graphs to solve related equations and solve real-life problems to find the range of values of (x) for which the other value (y) is increasing or decreasing and the range of values (x) for which the other value (y) is positive or negative.

Suggested placement

Semester 1, Week 12 (Week 12 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.319: this exemplar sets a two-dimensional construct - a stacked fraction, an index or a column vector - which the text layer flattens into separate lines, so the parts are present but their vertical arrangement is lost; read the page

Curriculum reference

NaCCA curriculum document, p. 319

Exemplars (from the NaCCA curriculum)

Using Talk for Learning in a GESI-aware class discussion, engage learners to investigate the range of values of x for which y increases or decreases.
Example 1: Find the range of values of x for which y is increasing using the table of values of a quadratic equation. 

 x 0 1 2 3 4 5 6 x 2 0 1 4 9 16 25 36
-6x 0 -6 -12 -18 -24 -30 -36
5 5 5 5 5 5 5 5 y 5 0 -3 -4 -3 0 5
Example 2: Find the range of values of x for which y is increasing using the graph of a quadratic equation.

 See the illustration in the figure below.
4 6
Fig.
Teaching and Learning Resources:
- Teaching and Learning Resources
- Manipulative (dice, coins, spinners, playing cards, counters, digit cards),
- Simple Probability Mazes (Printable & Digital),
- Worksheets
- Task Cards
Assessment (3.2.2.AS.4). The document marks these depth-of-knowledge levels for this indicator: Level 4 Extended critical thinking and reasoning.