Unit 3

MYP subject group objective(s)

• A: Knowing and understanding

  • i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations

  • ii. apply the selected mathematics successfully when solving problems

  • iii. solve problems correctly in a variety of contexts

• B: Investigating patterns

  • i. select and apply mathematical problem-solving techniques to discover complex patterns

  • ii. describe patterns as general rules consistent with findings

  • iii. prove, or verify and justify, general rules

• C: Communicating

  • i. use appropriate mathematical language (notation, symbols and terminology) in both oral and written explanations

  • ii. use appropriate forms of mathematical representation to present information

  • iii. move between different forms of mathematical representation

  • iv. communicate complete, coherent and concise mathematical lines of reasoning

  • v. organize information using a logical structure

• Plotting ordered pairs

• Finding a rule that links x and y to produce the equation of a straight line

• Testing the equation by finding other points on the line and verifying graphically

• Recognising how a line is transformed by changing the values of m and c

• Finding the equation of a line given gradient and intercept

• Finding the equation of a line given two points

• Three forms of the general linear equation; y=mx+c, y-y1=m(x-x1), ax+by+c=0

• Equations of horizontal and vertical lines

• Applications of linear functions in practical situations (conversion graphs, household bills, fixed costs and cost per item, travel graphs)

• Solving simultaneous equations graphically

• Setting up equations in one and two variables from worded questions

• Extension: Quadratic Functions

• Developing awareness (through the nth term) that the general equation is y=ax2+bx+c

• Investigate the effects of changing a, b and c

• Understand that the quadratic equation can also be given as y=a(x-b)2+c and y=a(x-b)(x-c) - investigate the effects of changing parameters

• Find the equation of a quadratic given three points

• Identify the equation of the axis of symmetry, coordinates of maximum and minimum points

• Determine equation of a transformed function given the original equation

• Sketch transformed functions