- MA4-LIN-C-01 creates and displays number patterns and finds graphical solutions to problems involving linear relationships
📖 Prior Knowledge
| Content | Prior knowledge | Used for |
|---|---|---|
| Multiplicative Relations B | - geometric number patterns involving multiples | - analysing geometric spatial sequences as linear relationships |
| Geometric Measure A | - first quadrant of number plane | - plotting and identifying points on a Cartesian plane |
| Computation with Integers | - operations with integers | - applying the equation of a linear relationship |
| Algebraic Techniques | - substitution - generalising relationships | - constructing a table of values from an equation - establishing the equation of a linear relationship |
| Equations | - solving two-step equations | - applying the equation of a linear relationships - solving equations graphically |
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