Page 15 - 新思维数学学生用书4 样章
P. 15

1   Numbers and the number system



              Think like a mathematician


              These sets of beads have consecutive numbers in the circles.

              The numbers add up to the number in the square.

              Example:
                                                1    2    3     4    5



                                                          15

              •  You will show you are specialising when you identify examples that

                  fit the criteria ‘The numbers add up to the numbers in the square’.
              •  You will show you are generalising when you notice a way of

                  finding the middle number.

              Complete these sets of beads.

              a                                           Tip


                                                          Consecutive numbers
                        27                                are next to each other.

              b                                           For example, 3, 4, 5


                                                          and 6.
                              25


              Describe to a partner how to find the middle number of each set of beads.
              •  You will show you are specialising when you identify examples that

                  fit the criteria ‘The numbers add up to the numbers in the square.’

              •  You will show you are generalising when you notice a way of

                  finding the middle number.




             Look what I can do!


                  I can count on and back in steps of different sizes.

                  I can extend linear sequences and describe the term-to-term rule.

                  I can recognise non-linear sequences.

                  I can extend patterns that represent square numbers.




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