Negative numbers Always, sometimes, never – Negative numbers Cut out these cards and sort them into statements that you think are always true, sometimes true and never true. If you think sometimes then explain when it is and when it isn’t true. If you think always or never then explain how you can be so sure. All members of your group must agree about each statement. Adding a negative
A multiplication
number to a positive
calculation must
Two negatives
number makes a
have an even
make a positive
negative number
number of - signs
Adding a negative
Multiplying two
A positive
negative numbers
number to a
number is bigger
together will give a
negative number
than a negative
makes a positive
positive answer
number
number
A division
Squaring a
A positive
calculation will
negative number
number is more
have an even
will make a
than
a negative
number of - signs
negative number
number
Adding a positive
A number must
Negative
number
to a positive
be either
numbers are
number makes a
positive
or
negative number
less than one
negative
Negative
numbers are
less than zero
A negative
number can
be a fraction
The further a
number is from 0
the more
negative it is
Negative numbers Multiple representations – adding and subtracting negative numbers Cut out these cards and sort them into families so that each family shows the same relationship in many different ways. -­‐ -­‐4 + 1 -­‐3 1 -­‐4 Adding one positive into a box that had a score of negative four 4 + -­‐1 1 3 4 Adding one negative into a box that had a score of positive four 4 – -­‐1 1 4 5 Taking one negative from a box that had a score of positive four -­‐ -­‐ + + + One + more + -­‐ -­‐ positive than negative four One more negative than positive four + + + + + One l ess -­‐ negative than positive four + + + + + + -­‐ Negative Numbers Mystery – Placing and ordering negative numbers Read these cards and solve the problem All of the information you need to solve the problem is included in the cards. The numbers are The numbers in arranged in order with the most negative at A and most positive at I Only three of the numbers are positive boxes D and G are both the same distance from 0 on the number line The number in box E is two from zero and three more than the number in box D Adding the Adding the numbers in boxes D numbers in boxes G and E gives the and H gives the number in box B number in box I The number in A is ten more negative than the number next to it The number in box H is 15 more positive than the number in box C The number in box F is two more positive than the number in box E Your task is to place numbers in boxes A to I using the clues on these cards. All of the numbers are different All of the numbers in the boxes are whole numbers. There are no fractions or decimals Draw a set of 9 boxes and label them A, B, C, D, E, F, G, H and I Trim this section off and hand out to learners if necessary A B C D E -­‐2 F G H I