Reading to the nearest quarter inch
Grade 4 students develop precision measurement skills by reading a ruler to the nearest quarter inch in Saxon Math Intermediate 4. Each inch contains three tick marks that divide it into four equal quarters: 1/4 inch, 2/4 (same as 1/2) inch, and 3/4 inch. A screw tip landing on the first mark after the 3-inch line measures 3 and 1/4 inches. The half-inch mark is often slightly longer than the quarter-inch marks, helping students identify it quickly. This Chapter 4 skill reinforces fractions in a hands-on measurement context.
Key Concepts
Property Inch scales have tick marks between the inch marks that let us read the scale to the nearest quarter inch. Remember that one quarter inch is the same as one fourth inch, which can be written as $\frac{1}{4}$ in.
Example A paperclip measures past the 1 inch mark to the first small tick. Its length is $\tfrac{1}{4}$ inches.
A crayon stops at the third tick mark after the 3 inch line. Its length is $3\tfrac{3}{4}$ inches.
Common Questions
What do the tick marks on a ruler mean?
Between each whole inch, there are three tick marks dividing the inch into four equal parts. The first mark represents 1/4 inch, the second (often slightly longer) represents 2/4 or 1/2 inch, and the third represents 3/4 inch.
How do you measure to the nearest quarter inch?
Find the last whole inch the object passed. Count how many tick marks past that whole inch the object ends. The first mark is 1/4, second is 1/2, and third is 3/4. Combine the whole number with the fraction for the final measurement.
How do you avoid confusing the half-inch and quarter-inch marks?
The half-inch mark is usually slightly taller or longer than the quarter-inch marks. It represents the second quarter — 2/4 equals 1/2. Always count tick marks from the nearest whole inch rather than guessing by appearance.
What is the length of an object at the third tick mark after 2 inches?
Three tick marks after 2 inches is 3/4 of an inch past the 2-inch mark, so the length is 2 and 3/4 inches.
What Saxon Math chapter teaches reading a ruler to the nearest quarter inch?
Reading to the nearest quarter inch is covered in Saxon Math Intermediate 4, Chapter 4 (Lessons 31-40), as a key measurement skill linking fractions to practical use.