Y9 Maths Revision Pack - Linear Graphs

Y9 Maths Revision Pack - Term 1st

• Academic Year: 2024-2025
• Topic 1: Linear Graphs
  • Equation: y = 3x + 2
  • Table of values: The table shows y-values corresponding to given x-values for the equation. Example values: when x = -2, y = -4; when x = 0, y = 2; when x = 2, y = 8.
  • Graphing: Graph includes plot of points, extending line correctly from x = -2 to x= 2.
  • Gradient: Values for gradients of different line segments, provided on a graph
• Topic 2: Gradient of a Line
  • Gradients: Values for gradients of different line segments, shown diagrammatically.
• Topic 3: Graphs Passing Through a Point
  • Point (0, 4): The task identifies which graphs pass through the point, selecting the appropriate options
• Topic 4: Equation of a Line (Gradient-Intercept Form)
  • Gradient and Y-intercept: The gradient of y=7-2x is -2 and the y-intercept is (0,7)
• Topic 5: Forming Linear Equations from a Graph
  • Equation: Finding the equation of a line from the graph; example: y = 2x − 1

Topic 6: Solving Equations

• Solving Equations:
  • Examples of solving various simple equation are included to illustrate this skill
  • Example: a + 24 = 39, a = 15
• Solving Linear Equations:
  • Example: 3(x + 2) = 62, x = 56/3
  • Explanation of errors: Given example of errors in solving equations (e.g., incorrect bracket expansion)

Topic 7: Inequalities

• Solving Inequalities: Examples included:
  • Example: 4(c − 3) > 10, c > 5.5
• Solve simple inequality:
  • Example: 2 > 6 − 2y, y > 2

Topic 8: Equation and Inequality Applications

• Applications:
  • Variable: Representing a problem mathematically using variables (e.g., Dexter's number problem)
  • Equations or Inequalities: Representing problems using mathematical relationships (e.g., equations or inequalities).

Topic 9: Geometry and Nets

• Net of a Cube: Diagram showing how a net of a cube is constructed
• Volume of a Cuboid: Calculation procedure are explained and example of volume of a cuboid in litres.
• Volume of a Prism: Example problem finding the volume of a prism, calculation involved.

Topic 10: Scale Drawings, Constructions and locus

• Scale Drawings: Conversion of units; e.g. cm to m
• Construction and Constructions: Use of ruler and compasses to construct geometrical shapes and locus of points
• Angle Bisector: Construct an angle bisector of a given angle

Topic 11: Perpendicular lines

• Perpendicular Line Construction: Constructing a perpendicular line through a point