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Subject/materia: MATEMÁTICASGrade/curso: 9ºTerm/bimestre:2
Guiding question / pregunta guía Where do we use model quadratic functions in real life? What importance does measuring and comparing have for mankind?
Area of Interaction/área de interacción
  • ATL, Homo Faber
Aims/objetivos
  •  Solve quadratic equations, sketch their graph and apply to real life situations.
  •  Understand the concept of and be able to Calculate perimeter, area and volume of all kinds of shapes and use them to solve problems
  •  Revise index laws 1 to 4. Introduce negative indices and fractional indices. Use GDC to investigate the behaviour of exponential graphs.

Content/contenido

Quadratic Equations and Graphs. The students will:

  •  Simplify all mathematical operations using pronumerals
  •  Substitute numbers into expressions and solve
  •  Factorise: common factor, difference of squares, trinomials
  •  Solve quadratic equations using the factorization methods above and by completing the square and using the quadratic formula
  •  Use the discriminant to determine and find the roots
  •  Plot parabola
  •  Sketch parabolas using the basic form y = x2, turning point form, general form ax2 + bx + c

Measurement. The students will:

  •  Understand and know how to calculate errors in calculations of measurement
  •  Calculate the perimeter of any 2D shape
  •  Calculate the area of all 2D shapes and the surface area of prisms and composite figures
  •  Calculate the volume of prisms and composite prisms


Exponential Functions. The students will:

  •  Understand and apply the first index law

  •  Understand and apply the 2nd index law

  •  Understand and apply the 3rd index law

 

  •  Understand and apply the 4th index law

  •  Understand and apply the 5th index law

  •  Understand and apply the 6th index law

  •  Investigate functions of the type , discuss asymptotes etc.
  •  Use GDC to graph exponential functions
Summative task / evaluación final
  • Test, Quizzes, Project, Classwork

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