SHS3 Additional Mathematics · Semester 2, Week 13
Organising and Representing and Interpreting Data
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
- Handling Data (Strand 4)
- Sub-strand
- Organising and Representing and Interpreting Data (4.1)
- Content standard
- 3.4.1.CS.2 - Demonstrate an understanding of relationship arising from cause and effect or contribution of one or more variables to another. 3.4.1.LO.1 Describe the nature and strength of relationship between two given variables using scatter diagram and correlation coefficient. 3.4.1.LO.2 Model and solve problems using regression analysis.
- Indicator
- 3.4.1.LI.1 - Describe the concept of regression and distinguish between correlation and regression, and describe situations that call for the use of regression.
- Suggested placement
-
Semester 2, Week 13
(Week 33 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. 545
Exemplars (from the NaCCA curriculum)
Project-based Learning; Talk for Learning, Think-pair-share, Experiential Learning; and Group Work/Collaborative Learning. Learning Experience: Learners in groups discuss regression and distinguish between correlation and regression. Activity 1: Simple linear regression Learners brainstorm and share ideas on the situations that require the use of simple linear regression analysis. Definition: Simple linear regression is a statistical measurement used to describe the relationship between independent variable and dependent variables where change in the independent variable affect the dependent variable. Activity 2: Differences between correlation and regression Learners work in pairs to describe events where correlation and regression occur and distinguish between them in tabular form, as shown. Correlation Regression Correlation is used to Regression is used to determine whether two numerically describe how variables relate in any a dependent variable manner or not. changes with a change in an independent variable. Correlation is used to tell Linear regression uses an the strength (strong, equation to express the weak) and direction amount of effect ((positive, negative) of the (contribution) that one relationship between the variable has on another in two variables. a relationship. The variables can be used The variables cannot be interchangeably. interchanged. Activity 4: Independent variable versus dependent variable Learners brainstorm to identify independent and dependent variables and describe examples or situations where both variables are used for regression analysis. - The value of an independent variable does not change due to the impact of any other variable. - Dependent variable is the variable that changes due to change in another variable. Example: Consider a situation where we want determine what happens to students' test scores when students increase the number hours they spend studying. Independent variable: Hours students spend sleeping Dependent variable: Test scores Teaching and Learning Resources: - ICT tools - Calculators - SHS curriculum Assessment (3.4.1.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.