Page 6 - 新思维数学学生用书5 样章

How to use this book

An investigation to carry out Think like a mathematician
with a partner or in groups. You need four cards.
3 5 4 6
Where this icon appears , Arrange the cards as a multiplication calculation.
the activity will help develop your Investigate different answers. Try to find as many as you can and ×
then find the largest and smallest answers.
skills of thinking and working You will show you are specialising when you find solutions to the problem.

mathematically.

Questions to help you think Think about the questions in this exercise. Which question was the most

about how you learn. difficult? If you were asked to do a similar question, what would you do
differently?

This is what you have Look what I can do!

learned in the section. I can estimate the size of an answer before calculating it.
I can divide whole numbers by 1-digit whole numbers.

Questions that cover Check your progress
1 Calculate.
what you have learned a 408 × 7 b 46 × 24 c 504 ÷ 9
2 Calculate, writing the remainder as a fraction.
in the unit. a 98 ÷ 5 b 86 ÷ 3 c 89 ÷ 7
3 Copy the sorting diagram. Write these numbers in the correct place on the
diagram.
23 456 51 466 62 848 76 343 97 631

At the end of several units, Project 2
there is a project for you to carry Pattern prediction

out using what you have learned. Marcus and Zara were asked to draw this matchstick pattern:

You might make something
or solve a problem. Marcus drew this first:

Projects and their accompanying Then he added more to make this:

teacher guidance have been Then this:
written by the NRICH Team.

NRICH is an innovative Then finally:

collaboration between the Faculties
of Mathematics and Education at Can you describe how Marcus drew the pattern?
How many triangles did he draw?
the University of Cambridge, which How many matchsticks did he use in the finished picture?

focuses on problem solving and on creating opportunities for students
to learn mathematics through exploration and discussion.

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