Fill in the missing numbers for counting forwards from 1 to 4 in thirds and backwards from 3 to 0 in halves.

Step 1: Fill in the missing numbers for counting from 1 to 3 in thirds. Counting in thirds means adding (1)/(3) to the previous number. The sequence is 1; 1(1)/(3); ; 2; ; 2(2)/(3); ; ; ; 4. 1 + (1)/(3) = 1(1)/(3) 1(1)/(3) + (1)/(3) = 1(2)/(3) 1(2)/(3) + (1)/(3) = 2 2 + (1)/(3) = 2(1)/(3) 2(1)/(3) + (1)/(3) = 2(2)/(3) 2(2)/(3) + (1)/(3) = 3 3 + (1)/(3) = 3(1)/(3) 3(1)/(3) + (1)/(3) = 3(2)/(3) 3(2)/(3) + (1)/(3) = 4 The completed sequence is: 1; 1(1)/(3); 1(2)/(3); 2; 2(1)/(3); 2(2)/(3); 3; 3(1)/(3); 3(2)/(3); 4 Step 2: Fill in the missing numbers for counting backwards from 3 to 0 in halves. Counting backwards in halves means subtracting (1)/(2) from the previous number. The sequence is 3; ; 2; ; ; ; 0. 3 - (1)/(2) = 2(1)/(2) 2(1)/(2) - (1)/(2) = 2 2 - (1)/(2) = 1(1)/(2) 1(1)/(2) - (1)/(2) = 1 1 - (1)/(2) = (1)/(2) (1)/(2) - (1)/(2) = 0 The completed sequence is: 3; 2(1)/(2); 2; 1(1)/(2); 1; (1)/(2); 0 Step 3: Describe how to draw the number lines. a) 0 to 4 in fifths: Draw a straight line. Mark the whole numbers 0, 1, 2, 3, 4 at equal intervals. Between each whole number, divide the segment into five equal parts. Label these divisions as (1)/(5), (2)/(5), (3)/(5), (4)/(5) (or 1(1)/(5), 1(2)/(5), etc.). The points on the number line would be: 0, (1)/(5), (2)/(5), (3)/(5), (4)/(5), 1, 1(1)/(5), 1(2)/(5), 1(3)/(5), 1(4)/(5), 2, 2(1)/(5), 2(2)/(5), 2(3)/(5), 2(4)/(5), 3, 3(1)/(5), 3(2)/(5), 3(3)/(5), 3(4)/(5), 4. b) 4 to 7 in quarters: Draw a straight line. Mark the whole numbers 4, 5, 6, 7 at equal intervals. Between each whole number, divide the segment into four equal parts. Label these divisions as (1)/(4), (2)/(4), (3)/(4) (or 4(1)/(4), 4(2)/(4), etc.). The points on the number line would be: 4, 4(1)/(4), 4(2)/(4), 4(3)/(4), 5, 5(1)/(4), 5(2)/(4), 5(3)/(4), 6, 6(1)/(4), 6(2)/(4), 6(3)/(4), 7. What's next? Send 'em! 📸