Visible Thinking in Mathematics 6

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Visible Thinking in Mathematics - Making Mathematics Visual.   This is a series of supplementary books that promotes critical and creative thinking in mathematics. It is designed to help make thinking visible by providing the child with opportunities to think, explore and reflect.


While practice leads to better performance, practice without contextual and conceptual understanding prevents the child from thinking critically and creatively. In this series, instead of learning procedures and formulas by rote, the child masters concepts through:

Thinking routines: functional questions to direct the child's thinking on key concepts and cultivate the child's thinking skills.


Parallel questions: consecutive mathematical problems with the same context but different key words to highlight differences between problems; ensuring that the child understands and retains concepts and skills better.

This approach not only instills in the child mathematical skills but also inspires discipline in thinking and greater motivation for learning. Additional support is provided to the child through Notes. Notes present opportunities for parents and teachers to clarify misconceptions, simplify difficult concepts and address areas of difficulty for the child.


Chapter  1
  Forming Algebraic Expressions
  Simplifying Algebraic Expressions
  Evaluating Algebraic By Substitution

Chapter 2
Angles In Geometric Figures
  Squares And Rhombuses
  Rectangles And Parallelograms
  Trapeziums And Parallelograms

Chapter 3
  Identifying Nets Of Cubes
  Identifying Nets Of Cuboids
  Identifying Nets Of Pyramids And Prisms
  Identifying The Solids From A Given Net

Chapter 4
  Division Of A Fraction By A Fraction
  Equivalent Fractions And Multiples Of Fractions

Chapter 5
  Ratio, Fraction And Percentage
  Finding The Whole/Part When A Whole Is Divided Into Parts
  Word Problems Involving A Pair Of Ratios
  Comparing Two Ratios

Chapter 6
  Percentage Of A Whole
  Comparing Two Quantities
  Percentage Increase And Decrease
  Comparing Three Quantities
  Percentage Of A Percentage

Chapter 7
  Concept Of Speed
  Word Problems Involving Speed, Distance And Time
  Average Speed
  Speed Comparison

Chapter 8
  Circumference And Diameter
  Perimeter Of Semicircles And Quadrants
  Area Of Circles, Semicircles And Quadrants
  Area And Perimeter Of Composite Figures (1)
  Area And Perimeter Of Composite Figures (2)

Chapter 9
Pie Charts
  Reading And Interpreting Pie Charts

Chapter 10
Area And Perimeter
  Area And Perimeter Of Squares And Rectangles
  Area And Perimeter Of Nets

Chapter 11
Volume Of Solids And Liquids
  Volume Of Cuboids
  Volume Of Cubes
  Visualising Different Views Of Solids Made Up Of Cubes
  Volume Of Liquids
  Comparing Volumes

Specimen Examination 1
  Paper 1
  Paper 2

Specimen Examination 2
  Paper 1
  Paper 2


PublisherMarshall Cavendish Education
SeriesVisible Thinking in Mathematics
Edition2nd Edition
Core / SupplementarySupplementary
GradeGrade 7 (South Africa)
ColourBlack & White
Number of pages248

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