| Category | Details |
|---|---|
| Module | Marbles |
| Number of hours | 1 - 2 lessons |
| Vintage | 9th year of primary school |
| Short Description | By modelling a real situation, we get a first idea of a linear function. This is an increasing linear function whose domain is non-negative integers. In class, we will focus mainly on the covariation aspect of the concept of a function - the change in volume of a container as a function of the number of balls placed in it. Students will work with different representations of a function (table, graph, verbal description, possibly with a formula). |
| Principles of creation | |
| Functional thinking | |
| Objectives |
- Know how to enter values in a table and plot them on a graph
- Know how to explain what affects the volume in a container
- Recognize that the points of the graph lie on one line
- Understand the meaning of the intersection with the y-axis in a given context
- Understand the meaning of the slope in particular context
- Link different representations of the concept of function (table, graph, verbal description and formula)
- Based on the table and graph, derive the function formula
- Recognize that when generalizing the problem, it is necessary to consider the effect of initial conditions on the realism of the modelling situation (volume of water at the beginning, size of the marbles, dimensions of the cylinder-shaped container into which the marbles are dropped, etc.)
- Knowing that a formula in the form of 𝑦𝑦 = 𝑘𝑘𝑘𝑘 + 𝑞𝑞 has a function that is called a linear
- Observe some properties of a linear function, e.g. the graph is a line or part of a line, if the coefficient 𝑘𝑘 in the function's formula is positive so the function is increasing, if it is negative so it is decreasing, identify constant rate of change of the function, determine "appropriate" function values to derive the formula, plot the graph
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