  We report on the discovery of 28 $z\approx0.8$ metal-poor galaxies in DEEP2.
These galaxies were selected for their detection of the weak
[OIII]$\lambda$4363 emission line, which provides a "direct" measure of the
gas-phase metallicity. A primary goal for identifying these rare galaxies is to
examine whether the fundamental metallicity relation (FMR) between stellar
mass, gas metallicity, and star formation rate (SFR) holds for low stellar mass
and high SFR galaxies. The FMR suggests that higher SFR galaxies have lower
metallicity (at fixed stellar mass). To test this trend, we combine
spectroscopic measurements of metallicity and dust-corrected SFRs, with stellar
mass estimates from modeling the optical photometry. We find that these
galaxies are $1.05\pm0.61$ dex above the z~1 stellar mass-SFR relation, and
$0.23\pm0.23$ dex below the local mass-metallicity relation. Relative to the
FMR, the latter offset is reduced to 0.01 dex, but significant dispersion
remains (0.29 dex with 0.16 dex due to measurement uncertainties). This
dispersion suggests that gas accretion, star formation and chemical enrichment
have not reached equilibrium in these galaxies. This is evident by their short
stellar mass doubling timescale of $\approx100^{+310}_{-75}$ Myr that suggests
stochastic star formation. Combining our sample with other z~1 metal-poor
galaxies, we find a weak positive SFR-metallicity dependence (at fixed stellar
mass) that is significant at 94.4% confidence. We interpret this positive
correlation as recent star formation that has enriched the gas, but has not had
time to drive the metal-enriched gas out with feedback mechanisms.
