Page 36 - 新思维数学教师用书7 试读样张

MATHEMATICS 7 TEACHER’S RESOURCE

A number divisible by 2 ends in 0, 2, 4, 6 or 8. A number Homework idea
divisible by 5 ends in 0 or 5. A number that is divisible by
both 2 and 5 must therefore end in 0. This means that the At the end of each lesson, set suitable parts of
number is divisible by 10. Workbook Section 1.5. Set only those questions that
The third statement is: ‘A number is divisible by 15 when can be answered using the skills and knowledge gained
from that lesson. Workbooks are aimed at fluency and
it is divisible by 3 and by 5.’ This is true because 3 and consolidation through practice, not as a method to learn
5 are prime numbers, but a proof is beyond the scope of new skills that should be taught in class. Marking should
this book. be done by learners at the start of the next lesson. Any
Learners might convince themselves that it is true by help or discussions with any of the problems should take
looking at the form of numbers that are divisible by 3 and place immediately.
5, using the tests to find them.
Numbers ending in 0 are 30, 60, 90, 120, 150, . . . Assessment idea
Numbers ending in 5 are 15, 45, 75, 105, 135, . . . The aim in this section is to make learners familiar with
the tests for divisibility so that they can apply them
It is apparent that these numbers are the multiples of 15, confidently to any number. You can use peer assessment
but this is not the same as a proof. as a check and reinforcement. Working in pairs, one
learner writes a number and asks whether it is divisible
by a specified number, such as 3, 5 or 11. The other
learner’s answer should include a reason. The first learner
must judge whether this is correct.

1.6 Square roots and cube roots

LEARNING PLAN

Framework codes Learning objectives success criteria

7Ni.06 Understand the relationship between Learners can write the relationship
squares and corresponding square between a square number or cube
roots, and cubes and corresponding number and its square or cube
cube roots. root in different ways, using the
correct symbols.

LANGUAGE SUPPORT

3
Consecutive: two numbers are consecutive if they Index: a number used to show a power; in 2 , 3 is
are next to each other when written in order the index
Cube number: the result of multiplying three ‘lots’ Square number: the result of multiplying a whole
of the same whole number together; 125 is a number by itself; 81 is a square number equal to
2
3
5
×
cube number equal to 5= 5 ×× 5=125 9= 99 =81
Cube root: the number that produces the given Square root: the square root of a number,
number when three ‘lots’ of the number are multiplied by itself, gives that number; the square
multiplied together; the cube root of 125 is root of 36 is 36 =6
3 125=5

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