Chapter 7.1
Coordinates and plotting points
Plot and read coordinates in all four quadrants accurately.
Chapters18
Linear, quadratic, cubic, transformations, real-life graphs.
Time invested14 hrs
Approximate guided learning.
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Chapter 7.2
Linear graphs (plotting from equations)
Plot straight-line graphs from equations by finding coordinates.
Chapter 7.3
Gradient and y-intercept
Calculate gradient and identify y-intercept from graphs and equations.
Chapter 7.4
y = mx + c (all forms)
Work with the equation of a straight line in various forms.
Chapter 7.5
Finding equations of straight lines
Derive equations from graphs, points, and gradients.
Chapter 7.6
Parallel lines (same gradient)
Identify and write equations of parallel lines.
Chapter 7.7
Perpendicular lines
Find equations of perpendicular lines using negative reciprocal gradients.
Chapter 7.8
Quadratic graphs (plotting and sketching)
Plot and sketch parabolas, understanding their shape and key features.
Chapter 7.9
Quadratic graphs (key features)
Identify turning points, roots, and axis of symmetry on quadratics.
Chapter 7.10
Cubic graphs
Plot and interpret cubic functions and their characteristics.
Chapter 7.11
Reciprocal graphs (y = k/x)
Understand hyperbolas and their asymptotic behaviour.
Chapter 7.12
Exponential graphs (y = kˣ)
Explore exponential growth and decay functions.
Chapter 7.13
Circle graphs (x² + y² = r²)
Plot and identify circles centered at the origin.
Chapter 7.14
Graph transformations (translations)
Translate functions horizontally and vertically: f(x±a) and f(x)±a.
Chapter 7.15
Graph transformations (reflections)
Reflect functions in axes: -f(x) and f(-x).
Chapter 7.16
Graph transformations (stretches)
Stretch functions parallel to axes: af(x) and f(ax).
Chapter 7.17
Distance-time graphs
Interpret journeys and calculate speeds from distance-time graphs.
Chapter 7.18
Velocity-time graphs
Calculate acceleration and distance from velocity-time graphs.
Next steps
Finished with graphs? Continue to Section 8 for geometry and circle theorems, or revisit Section 6 for sequences.