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Number lines – negatives
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Foundational skills
Find the step size from adjacent dashes
\[ -8 \rightarrow -6 \]
Work out how much each step is worth when two dashes next to each other are labelled.
Find the step size from first and last dashes
\[ \text{First: } -15, \text{ Last: } 10 \]
Work out step size when only the first and last dashes are labelled.
Steps of 1 (negatives)
First two given – find later (1s)
\[ -4, -3 \rightarrow ? \]
Count forwards in ones from negative numbers.
First and last given – find middle (1s)
\[ -4 \dots 1 \]
Find a number in the middle of a line (step 1).
Two separated given – find another (1s)
\[ -3 \dots 0 \rightarrow ? \]
Find number from separated values (step 1).
Two separated given – find earlier (1s)
\[ ? \leftarrow -2 \dots 1 \]
Work backwards to find an earlier number (step 1).
Steps of 2 (negatives)
First two given – find later (2s)
\[ -8, -6 \rightarrow ? \]
Count forwards in twos from negative numbers.
First and last given – find middle (2s)
\[ -8 \dots 2 \]
Find a number in the middle of a line (step 2).
Two separated given – find another (2s)
\[ -6 \dots 0 \rightarrow ? \]
Find number from separated values (step 2).
Two separated given – find earlier (2s)
\[ ? \leftarrow -4 \dots 2 \]
Work backwards to find an earlier number (step 2).
Steps of 4 (negatives)
First two given – find later (4s)
\[ -16, -12 \rightarrow ? \]
Count forwards in fours from negative numbers.
First and last given – find middle (4s)
\[ -16 \dots 4 \]
Find a number in the middle of a line (step 4).
Two separated given – find another (4s)
\[ -12 \dots 0 \rightarrow ? \]
Find number from separated values (step 4).
Two separated given – find earlier (4s)
\[ ? \leftarrow -8 \dots 4 \]
Work backwards to find an earlier number (step 4).
Steps of 5 (negatives)
First two given – find later (5s)
\[ -20, -15 \rightarrow ? \]
Count forwards in fives from negative numbers.
First and last given – find middle (5s)
\[ -20 \dots 5 \]
Find a number in the middle of a line (step 5).
Two separated given – find another (5s)
\[ -15 \dots 0 \rightarrow ? \]
Find number from separated values (step 5).
Two separated given – find earlier (5s)
\[ ? \leftarrow -10 \dots 5 \]
Work backwards to find an earlier number (step 5).
Steps of 10 (negatives)
First two given – find later (10s)
\[ -40, -30 \rightarrow ? \]
Count forwards in tens from negative numbers.
First and last given – find middle (10s)
\[ -40 \dots 10 \]
Find a number in the middle of a line (step 10).
Two separated given – find another (10s)
\[ -30 \dots 0 \rightarrow ? \]
Find number from separated values (step 10).
Two separated given – find earlier (10s)
\[ ? \leftarrow -20 \dots 10 \]
Work backwards to find an earlier number (step 10).
Steps of 20 (negatives)
First two given – find later (20s)
\[ -80, -60 \rightarrow ? \]
Count forwards in twenties from negative numbers.
First and last given – find middle (20s)
\[ -80 \dots 20 \]
Find a number in the middle of a line (step 20).
Two separated given – find another (20s)
\[ -60 \dots 0 \rightarrow ? \]
Find number from separated values (step 20).
Two separated given – find earlier (20s)
\[ ? \leftarrow -40 \dots 20 \]
Work backwards to find an earlier number (step 20).
Steps of 25 (negatives)
First two given – find later (25s)
\[ -100, -75 \rightarrow ? \]
Count forwards in twenty-fives from negative numbers.
First and last given – find middle (25s)
\[ -100 \dots 25 \]
Find a number in the middle of a line (step 25).
Two separated given – find another (25s)
\[ -75 \dots 0 \rightarrow ? \]
Find number from separated values (step 25).
Two separated given – find earlier (25s)
\[ ? \leftarrow -50 \dots 25 \]
Work backwards to find an earlier number (step 25).
Steps of 50 (negatives)
First two given – find later (50s)
\[ -200, -150 \rightarrow ? \]
Count forwards in fifties from negative numbers.
First and last given – find middle (50s)
\[ -200 \dots 50 \]
Find a number in the middle of a line (step 50).
Two separated given – find another (50s)
\[ -150 \dots 0 \rightarrow ? \]
Find number from separated values (step 50).
Two separated given – find earlier (50s)
\[ ? \leftarrow -100 \dots 50 \]
Work backwards to find an earlier number (step 50).
Steps of 100 (negatives)
First two given – find later (100s)
\[ -400, -300 \rightarrow ? \]
Count forwards in hundreds from negative numbers.
First and last given – find middle (100s)
\[ -400 \dots 100 \]
Find a number in the middle of a line (step 100).
Two separated given – find another (100s)
\[ -300 \dots 0 \rightarrow ? \]
Find number from separated values (step 100).
Two separated given – find earlier (100s)
\[ ? \leftarrow -200 \dots 100 \]
Work backwards to find an earlier number (step 100).
Timer (Optional)
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