It was a similar story in Perth where Michael Clarke's side hit back from 143 5 to score 385 and in Melbourne where they turned 122 6 into 204.
"Steve Smith has been really impressive, to be fair to him. There has been some criticism about his technique but he's played really well. This is his third Ashes hundred and this was the best of the lot, for me."
After scoring 94, 118, 55 and 65 in the first innings of the previous four Tests, Haddin struck 13 fours in a sixth wicket partnership of 128 with Steve Smith, who went on to score 115 off 154 balls.
All rounder Ben Stokes finally made the breakthrough when he had Haddin caught by Cook and the all rounder went on to claim his maiden five wicket haul in Tests, after snaring Ryan Harris and Peter Siddle in consecutive Converse One Star
"I think he bowls wicket taking balls we saw that in Perth when he got Michael Clarke out and we saw it again today," said Strauss.
"Those first innings runs are so important when the game is being set up. If England had taken two or three of those chances to nail it home, the series might look completely different.
Ashes Extra is back at 10.30pm with Ian Ward ahead of our live coverage of day two.
Stokes, playing his fourth Test, wrapped up the innings and finished with figures of 6 99 when Smith picked out substitute fielder Joe Root and Strauss said there's much more to come from the 22 year old.
Groundhog Day for England as Brad Haddin leads recovery
"Steve Smith played really well alongside Haddin, but Haddin was smacking it everywhere and from an England perspective it was frustrating to watch.
ImpressiveFormer England skipper Strauss praised Haddin's dynamism, telling Sky Sports: "England have really run out of ideas about how to bowl at Brad Haddin. He was phenomenal again today and set the ball in motion.
Australia's recovery Converse Leather White High Tops was their latest first innings comeback of the series after they rallied from 132 6 to 295 in the first Test at Brisbane, then recovered from 257 5 to 570 9 declared in Adelaide.
"Unfortunately they haven't and it's Groundhog Day again and the England bowlers will know that they've let Australia off the hook yet again.
"It was a really good partnership. They took the game to England, who got sucked into bowling too short and too full; they didn't bowl enough length balls. As you'd expect, the Australian batsmen went after Scott Borthwick when he came on.
Strauss explained: "It's one of those situations where momentum takes over. Australia did it in the first couple of Tests and then their lower order gets into a bit of form and knows the method they need to employ.
"Haddin's form has rubbed off on the others Smith played a Haddin type innings today; he went after the England bowlers and hit them over the top.
coming to the wicket with his side in dire straits at 97 5 on day one of the fifth and final Ashes Test, in Sydney.
"But he's got such ability that hopefully he'll get a long run in the side and he'll learn on the job."
"England brought Boyd Rankin in because they thought he might pose a bit more of a threat to Australia's lower order but he went off injured before that situation occurred."
The wicketkeeper passed 50 for the sixth time in the series, scoring 75 off 90 balls, after Converse High Tops Colors
Catch highlights of today's play from midday and On Demand from 6.30pm on SS2 before the Ashes Verdict returns at 9pm. The Converse Brown Leather Low
"In between he showed a little bit of his inexperience when Haddin and Smith were coming after him; he bowled too short at that point. But he wasn't alone in that.
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