To calculate the expected rate of inflation, just subtract the TIP rate from the 10-year Treasury note rate: 3.52 - 0.87 = 2.65%.
Why does this work? If the rate of inflation exceeds 2.65%, then investors will do better in the TIP note rather than the regular issue. This is because the principal amount of the TIP is adjusted by the rate of inflation.
By doing this calculation once/week or so, the DIY investor will get a feel for how inflation expectations are changing.