Algebraic Graphs - Year 10 Maths 

Summary of topic:

(for www.hegartymaths.com relevant clip numbers below)

During this half term you will learn:

• To plot linear graphs
• To use a linear graph to find the equation of a straight line in the form y = mx + c.
• To identify parallel (and perpendicular) lines from their equations.
• To interpret the gradient as the rate of change in applied circumstances.
• To interpret distance–time graphs, and calculate: the speed of individual sections, total distance and total time
• To use compound measures. Eg speed, density, pressure
• To plot quadratic graphs and identify key points on the graph, using it’s equation

Further reading:

Other:(www.hegartymaths.com relevant clip numbers in brackets)

Linear graphs:

• Plot and read Coordinates in all four quadrants. Draw, label and scale axes (199)
• Plot straight line graphs (205, 206)
• Find the coordinates of the midpoint of a line segment (200)
• Plot and draw graphs of straight lines in the form ax + by = c (220)
• Identify and interpret gradients and intercepts of straight line graphs (201-204)
• Identify and interpret gradient from an equation y = mx + c (207)
• Find the equation of a straight line from a graph (208, 209)
• Use y = mx + c to identify parallel lines (214)
• Find the equation of a line through two given points or through one point with a given gradient (211, 212, 213)
• Know that the gradient of a straight line is interpreted as a rate of change 
• Identify and interpret the gradient from an equation ax + by = c (210)

(HIGHER Tier Only)

• Use  y = mx + c to identify perpendicular lines (215)
• Generate equations of lines  perpendicular to the given line (216)

Compound measures:

• Work out time intervals for graph scales (450-452)

Quadratic Graphs, turning points and roots

• Recognise, sketch and interpret graphs of quadratic functions (251)
• Identify roots, intercepts and turning points of a quadratic function (252)
• Find roots of a quadratic algebraically by factorisation (253)
• Find approximate solutions using a graph
• Identify the line of symmetry of a quadratic graph (254)

(HIGHER Tier only)

• Find roots of a quadratic algebraically by factorisation - with rearrangement needed (260)