- MA4-LIN-C-01 creates and displays number patterns and finds graphical solutions to problems involving linear relationships
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Represents Numbers A | - Approximate decimals to a given number of places → Solve real-life linear relationship problems |
| Multiplicative Relations B | - Find the rule relating quantities in a table → Generate an equation from a pattern - Find the rule relating quantities in a table → Find the equation y = mx + c from a table |
| Geometric Measure B | - Plot and read points in all four quadrants → Plot points on the Cartesian plane |
| Algebraic Techniques | - Substitute negative numbers into expressions → Construct a table of values |
| Equations | - Solve 2-step linear equations → Solve real-life linear relationship problems - Solve 2-step linear equations → Solve a linear equation graphically - Verify equation solutions by substitution → Recognise points that satisfy a line |
Plot and identify points on the Cartesian plane.pdf
- Plot and label points on the Cartesian plane of given coordinates, including those with coordinates that are not whole numbers
- Identify and record the coordinates of given points on the Cartesian plane, including those with coordinates that are not whole numbers
Plot linear relationships on the Cartesian plane.pdf
- Construct a geometric pattern and record the results in a table of values
- Represent a given number pattern (including decreasing patterns) using a table of values
- Describe a number pattern in words and generate an equation using algebraic symbols
- Apply an equation generated from a pattern to calculate the corresponding value for a smaller or larger number
- Recognise that a linear relationship can be represented by a number pattern, an equation (or a rule using algebraic symbols), a table of values, a set of pairs of coordinates and a line graphed on a Cartesian plane, and move flexibly between these representations
- Explain that there are an infinite number of ordered pairs that satisfy a given linear relationship by extending a line joining a set of points on the Cartesian plane
- Compare similarities and differences of multiple straight-line graphs on the same set of axes using graphing applications
- Describe linear relationships in real-life contexts and solve related problems
Solve linear equations using graphical techniques.pdf
- Recognise that each point on the graph of a linear relationship satisfies the equation of a line
- Apply graphs of linear relationships to solve a corresponding linear equation using graphing applications
- Graph 2 intersecting lines on the same set of axes and identify the point of intersection using either graphing applications or a table of values
- Verify that the point of intersection satisfies the equations of both lines