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http://www.nthuleen.com/teach/grammar/nomakkdatexpl.html

This is a very clear and detailed explanation of German cases that we learnt so far.

1.Nominative

a) The subject of a sentence: e.g. Der Student lernt Deutsch.

b) When the verb is sein and werden: e.g. Das ist ein Tisch.

2.Accusative
a) The direct object of a sentence: e.g. Ich habe einen Tisch.
b) "Es gibt" (There is/are) + Accusative: e.g. Es gibt einen Stuhl da drüben.
c) After the accusative prepositions (bis;für;ohne; durch; gegen; um): e.g. Ist das Geschenk für mich?
d) Time expression (jeden Tag, letzten Sommer, den ganzen Tag, diesen Abend, etc.): e.g. Jeden Morgen esse ich Brot zum Frühstück.

3. Dative
a) The indirect object of a sentence: e.g. Ich gebeder Frau ein Buch.
b) After the dative prepositions(aus, außer, bei, mit, nach, seit, von, zu): e.g. Sie haben ein Geschenk vonihrem Vater bekommen.
c) After dative verbs(helfen, danken, gefallen, gehören, schmecken, passen) :e.g.  Ich helfe dir mit deinen Hausaufgaben.
d) The preposition “in” (often used): e.g. Der Tisch steht in der Küche.
e) Fixed phrases: e.g. Mir ist warm.

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https://www.youtube.com/watch?v=RrfgbBp6ScI
http://www.bbc.co.uk/schools/gcsebitesize/german/grammar/verbsmodalrev1.shtml

These two links explain what are modal verbs and what do they actually do in German.

1.Modal verbs are verbs associated with possibility or necessity.

2. Some common modal verbs:
sollen (to be supposed to)
wollen (to want to)
müssen (to have to)
können (to be able to)
dürfen (to be allowed to)
mögen (to like)
- möchten (to would like to)

3. Sentence structure:
Pronoun + Modal verb (conjugated verb)+Others+ Other verbs(Infinitive form)
e.g. Ich will Deutsch lernen.

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http://www.bbc.co.uk/languages/german/talk/

There are a lot resources of learning German.  This is a link of online courses for beginners.

I chose this one because it has the same topics as our textbook does.

Taking "order a meal" for a example:
The key sentence will be showed first:
"Was ist Ihr Lieblingsgericht ?" means what's your favourite food.
And there will be an conversation example about this topic.
All the sentences showed in the conversation will be repeated.

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http://www.dailymotion.com/video/x1au6hk_unsere-mutter-unsere-vater-episode-1-part-1-subbed_shortfilms

Title: Unsere Mütter, unsere Väter
(the link only includes the first part of episode 1)

Intro: This is a German miniseries about second world war oriented with five young people. They had dreams and promising futures while the cruel realities forced them to make agonizing choices.  It reveals the very true circumstances at that tough time.

Quotes:
"Man sagt das alles um einen herum still wird, im Moment des Todes."

------Wilhelm
"Der Krieg wird nur das Schlechteste in uns zum Vorschein bringen."
------Friedhelm

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http://www.digitaldialects.com/German/Food_words.htm

The focus of this week is daily routine and asking about meals.

I found this simple game to help me remember some common food.  It sort of making the learning more interesting:)

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https://www.youtube.com/watch?v=RI4lOt4riXs
https://www.youtube.com/watch?v=rMlb2DwFYxY

The sentence structure has made me struggling because it's so different from any languages I've learned.

I found this video, which indicate the basic rules of German sentences and there are some essential points about it:

1. The Conjugated Verb always goes in the second position. (Conjugated verb is the verb changes format in a sectence)
e.g. Ich fahre nach Berlin.
"fahre" is a conjugated verb.
2. TMP(Time-Manner-Place)
e.g. Ich fahre heute mit dem Zug nach Paris./ Heute faure ich mit dem Zug nach Paris.
"heute" - today(Time)
"mit dem Zug" - by train(Manner) - how
"nach Paris" - to Paris(Place)

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https://quizlet.com/137779465/numbers-german-flash-cards/

Just learnt the numbers today and I found a number lists on quizlet.

When I try to count the number, I often forget some pronunciation rules like I have to literally pronounce every letter in a word. For instance, number 4 "vier", I keep ignoring the "r" at the end.

Also, the number 20 "zwanzig", the "g" is actually pronounced as "sh" sound in English.

This need to be reviewed regularly.

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https://www.youtube.com/watch?v=FI_lr5DSUws

As I beginner of learning German, I do find it struggling to pronounce the umlaute.  Fortunately, there are so many resources on the Internet. I pick a video from Youtube and I feel it is helpful. This video does't only give samples of the umlaute pronunciation, but also teach non-german speakers how to make it happen.