Το καλάθι σου είναι άδειο.
Negative numbers
We use the - (minus) sign to describe
temperatures colder than 0 °C, e.g.
\latex{ - }4 °C (minus 4 degrees Celsius).
Annie heard this on the radio: Today the
temperature will be \latex{ - }2 °C (minus two
degrees Celsius). This is what the
thermometer showed:
We can measure the temperature of
materials, objects or living things with
a thermometer. The unit we use to
measure temperature is the degree
Celsius; its symbol is °C.
{{exercise_number}}. Measure the temperature. Work in teams.
°C.
In the classroom:
In the corridor:
In the schoolyard:
°C.
°C.
{{exercise_number}}. What temperature do the thermometers show? Write relational signs in the squares to show which temperatures are higher.
\latex{ - }10
20
15
10
5
0
\latex{ - }5
20
20
20
20
20
15
10
\latex{ - }5
5
0
\latex{ - }10
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
5
0
\latex{ - }10
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
\latex{ - }10
5
0
{{exercise_number}}. Colour in the thermometers according to the values specified below them.
\latex{ - }10
20
15
10
5
0
\latex{ - }5
20
20
20
20
20
20
15
10
5
0
\latex{ - }5
\latex{ - }10
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
\latex{ - }10
0
5
20
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
\latex{ - }10
5
0
15
10
\latex{ - }5
\latex{ - }10
5
0
4 °C 10 °C 12 °C 0 °C \latex{ – }5 °C 18 °C 2 °C \latex{ – }2 °C
{{exercise_number}}. Write the correct relational signs in the squares. Use your toy thermometer.
b)
5 °C
a)
\latex{ - }5 °C
4 °C
2 °C
\latex{ - }2 °C
\latex{ - }3 °C
\latex{ - }3 °C
0 °C
\latex{ - }6 °C
\latex{ - }4 °C
\latex{ - }7 °C
\latex{ - }1 °C
4 °C
1 °C
6 °C
3 °C
{{exercise_number}}. From early morning till midday the temperature rose by 5 °C. Fill in the table with the help of your toy thermometer.
°C
\latex{ - }7 °C
midday
morning
\latex{ - }4 °C
\latex{ - }3 °C
0 °C
°C
°C
°C
\latex{ - }1 °C
°C
\latex{ - }2 °C
+1 °C
2 °C
0 °C
12 °C
°C
°C
°C
{{exercise_number}}.
Fri
Every morning before going to school
Christina made note of the temperature
the thermometer in her window showed.
Christina made note of the temperature
the thermometer in her window showed.
than on Tuesday. On Tuesday it was
\latex{ - }5
Tue
Wed
Thu
Fri
°C
°C
°C
°C
Mon
Mon
Tue
Wed
Thu
a) Complete the table according to the
diagram.
diagram.
b)Write true statements by completing the sentences.
than on Wednesday. This week
On Monday it was
c) Arrange the temperature values of the table in decreasing order.
than on Wednesday. This week
morning was the coldest. On Thursday morning the temperature
°C higher than on Tuesday morning.
was
°C
10
5
°C
°C
°C
°C
>
>
>
>
°C
{{exercise_number}}. a) Write the values in the blank spaces. Red means warming, blue means cooling.
°C
6°C
°C
\latex{ - }1 °C
°C
°C
4 °C
°C
\latex{ - }2 °C
4 °C
°C
8 °C
0 °C
2°C
3°C
7°C
5°C
5°C
b) By how many degrees did the temperature change? Colour the blank spaces.
5 °C
°C
\latex{ - }1 °C
\latex{ - }5 °C
\latex{ - }2 °C
\latex{ - }5 °C
2 °C
°C
°C
{{exercise_number}}. What is the expected temperature? Write it down with mathematical sentences. The temperature is expexted to be
between \latex{ - }6 °C and \latex{ - }2 °C
\latex{ \textcolor{#0089d0}{\bullet } }
between \latex{ - }3 °C and 1 °C
between 0 °C and 5 °C
:
\latex{ \textcolor{#0089d0}{\bullet } }
\latex{ \textcolor{#0089d0}{\bullet } }
\latex{ \textcolor{#0089d0}{\bullet } }
between \latex{ - }4 °C and 2 °C
:
:
:
-4
°C
< <
°C
°C
°C
°C
°C
°C
< <
< <
< <
°C
2
\latex{ \textcolor{#3a99dd}{\blacktriangle } }
\latex{ \textcolor{#2fad4d}{\bullet } }
\latex{ \textcolor{#f8cd29}{\spadesuit } }
,
,
,
,
,
,
,
,
,
,
,
{{exercise_number}}. Continue arranging the following temperature values in decreasing order with arrows. What do you notice?
9 °C
6 °C
3 °C
0 °C
\latex{ - }3 °C
\latex{ - }6 °C
\latex{ - }12 °C
\latex{ - }9 °C
Write the missing numbers in the squares.
+10
\latex{ - }10
\latex{ - }9
\latex{ - }5
0
+1
+5
+9
+7
Numbers smaller than 0: Numbers greater than 0:
NEGATIVE numbers, e.g. \latex{ - }3 (minus three) POSITIVE numbers, e.g. +3 (plus three)
{{exercise_number}}. Mark the places of the following numbers on the number line.
\latex{ - }4; +2; \latex{ - }7; +6; \latex{ - }3; \latex{ - }1
+5
\latex{ - }5
0
{{exercise_number}}. Continue the number sequences with 5 more numbers according to the established rule.
c)
\latex{ - }12, \latex{ - }8, \latex{ - }10, \latex{ - }6, -8,
b)
a)
+12, +10, +8,
\latex{ - }9, \latex{ - }6, \latex{ - }3,
,
,
,
,
,
,
,
,
,
,
,
,
{{exercise_number}}.
to represent €1 debt.
Use the
€
symbol to represent €1 cash and
Bo has €6 and he owes Jim €4 . We have drawn Bo’s wealth using symbols.
Bo’s wealth can be calculated from the amount of her cash and her debt.
Bo’s wealth:
You can repay €1 debt with €1 cash.
Bo’s wealth after repaying
her debt:
{{exercise_number}}.
: €1 debt: €\latex{ - }1)
Write below the piggybanks how much they are worth.
(
:€1 cash,
€
€
€
€
{{exercise_number}}. Connect the results to their places on the number line.
+1
\latex{ - }1
0
{{exercise_number}}.
.
€0
; €1 debt (€\latex{ - }1 ):
Show it with symbols in different ways. €1 cash (€+1 ):
€0
€\latex{ - }2
€4
€0
€4
€\latex{ - }2
€4
€\latex{ - }2
{{exercise_number}}. a) Calculate the wealth of each child.
Sue:
Roger:
Claudia:
Simon:
€
Martin:
€
€
€
€
b) Write the names in the correct spaces. The arrows point at the greater numbers.
{{exercise_number}}. How does Bill’s wealth change in these cases? Draw it in the panels with symbols.
b) he spends €3 :
a) he receives €5 :
Johnny’s wealth:€
{{exercise_number}}.
a) Brian’s wealth was €\latex{ - }8 . How much money did he get if his wealth grew to €10 ?
b) After Mandy repaid her €15 debt, she had €4 left. How much money did she have before repaying her debt?
{{exercise_number}}. Fred, Annie and Tom have the same amount of debt. Fred has €25 , Annie has €17, Tom has €38 cash. It’s enough for all three of them to repay their debts.
a) Which of them will have the most cash left after repaying the debt?
b) Annie has 3 euro cash left after repaying her debt. How much cash does Fred and
Tom have left?
Tom: €
Fred: €