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

Prepare for Year 9 Maths with this comprehensive revision pack focused on linear graphs. Explore topics such as equations, gradients, and graphing methods, while practicing how to identify graphs passing through specific points. Ideal for reinforcing key concepts and improving your understanding of graphing linear equations!