MYP 4Year 10Term 2
Coordinate Geometry
Distance · Midpoint · Gradient · Equation of a line
Geometry
14 objectives
Learning objectives
What students should be able to do by the end of this unit.
Points and Line Segments
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- Plot points on the Cartesian plane and identify the quadrant they lie in.
- Calculate the distance between two points using $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.
- Calculate the midpoint of a line segment using $M = \left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)$.
- Find the point that divides a line segment in a given ratio.EXT
Gradient and Equation of a Line
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- Understand gradient as a ratio (rise over run) and as $\tan\theta$ where $\theta$ is the angle with the $x$-axis.
- Calculate the gradient between two points using $m = \dfrac{y_2 - y_1}{x_2 - x_1}$.
- Write the equation of a line in the form $y = mx + c$ and identify the gradient and $y$-intercept.
- Find the equation of a line given a point and the gradient, or given two points.
- Sketch lines from their equation, including reading off $x$- and $y$-intercepts.
Parallel, Perpendicular and Applications
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- Identify parallel lines from equal gradients.
- Identify perpendicular lines using $m_1 \cdot m_2 = -1$.
- Find the equation of a line parallel or perpendicular to a given line through a given point.
- Solve geometric problems on the Cartesian plane (e.g. show points form a right-angled triangle, parallelogram or rhombus).
- Interpret gradient and intercept as rates of change in real-world linear contexts.
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.