Page 6 - 新思维数学学生用书6 样章
P. 6

How to use this book



              These questions will help                           3  Find the odd one out.
                                                                             1.234          1234 thousandths          12.34
              you develop your skills of thinking                      123.4 hundredths       123 hundredths and 4 thousandths
              and working mathematically.                            Explain your answer.



              An investigation to carry out with a           Think like a mathematician

              partner or in groups. Where this icon          Daphne the dog had four litters of puppies. The mean number of puppies in a litter
                                                             was 5. Investigate how many puppies could be in each litter. Find different ways
              appears        , the activity will help        that make the mean 5.
                                                             What do you notice about the total number of puppies in each solution where the
              develop your skills of thinking and            mean is 5?

              working mathematically.                        Specialise by checking that it is true for another solution.
                                                             Generalise by explaining what you find out.


              Questions to help you                          Think about your answer. Are there any other possible answers?
              think about how you learn.                     How do you know? Did you think about checking your answer with
                                                             your partner?

              What you have                                  Look what I can do!

              learned in the unit.                              I can explain the value of each digit in numbers with up to 3 decimal places.
                                                                I can multiply and divide whole numbers and decimals by 10, 100 and 1000.
                                                                I can compose, decompose and regroup numbers with up to 3 decimal places.

              Questions that cover                           Check your progress

              what you have learned in the unit.             1  Hassan counts in steps of 0.4.
                                                                His first number is 1.
                                                                He counts 1, 1.4, 1.8, …
                                                                What is the tenth number in his sequence?

              At the end of several units, there               Project 4

              is a project for you to carry out using        Ordering times
              what you have learned. You might               Put these lengths of time in order, from shortest to longest.
                                                             You might like to use a calculator to help you.
              make something or solve a problem.
                                                              A second     Time since you   A thousand   A decade
                                                                           were born
                                                                                        seconds
              Projects and their accompanying                 Time for light to         Time it takes you
              teacher guidance have been                      reach the Earth   A minute  to eat a meal  100 000 hours
                                                              from the Sun
              written by the NRICH Team. NRICH                1000 months  A century    A day        Time it takes
                                                                                                     you to say the
                                                                                                     alphabet
              is an innovative collaboration                                            Time since the
              between the Faculties of                        A month      1000 days    last Olympic   A fortnight
                                                                                        Games
              Mathematics and Education at                    Time it takes the   A year  5 000 000   Time since the
                                                                                                     invention of the
                                                              Moon to go once
                                                                                        minutes
                                                              around the Earth                       telephone
              the University of Cambridge,
              which focuses on problem solving and on creating opportunities for students to learn
              mathematics through exploration and discussion.

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