Hebrew, then English. Open "What it means" under any line for the explanation.
Monday and Thursday only. This continues Vehu Rachum, part 1:
הַטֵּה אֱלֺהַי אָזְנְךָ וּשְׁמָע פְּקַח עֵינֶיךָ וּרְאֵה שֹׁמְמוֹתֵינוּ וְהָעִיר אֲשֶׁר נִקְרָא שִׁמְךָ עָלֶיהָ כִּי לֺא עַל צִדְקֹתֵינוּ אֲנַחְנוּ מַפִּילִים תַּחֲנוּנֵינוּ לְפָנֶיךָ כִּי עַל רַחֲמֶיךָ הָרַבִּים.
My God, turn Your ear and listen Open Your eyes and see our ruined places and the city that Your name is called on For not because of our righteous acts are we laying down our pleas before You but because of Your great compassion
What it means
My God, turn Your ear and listen. Open Your eyes and see our ruined places, and the city that is called by Your name. We are not laying our pleas before You because of our righteous acts, but because of Your great compassion.
אֲדֹנָי שְׁמָעָה אֲדֹנָי סְלָחָה אֲדֹנָי הַקְשִׁיבָה וַעֲשֵׂה אַל תְּאַחַר.
My Master, hear. My Master, forgive. My Master, listen and act. Do not delay.
What it means
Rashi (the classic commentator, France, 1000s) spells out what each word asks for: hear our pleas, forgive our sins, listen closely to our cry, and do what we ask without delay.
Rashi on Daniel 9:19לְמַעַנְךָ אֱלֺהַי כִּי שִׁמְךָ נִקְרָא עַל עִירְךָ וְעַל עַמֶּךָ.
For Your sake, my God, because Your name is called on Your city and on Your people
What it means
For Your own sake, my God, because Your name is called on Your city and on Your people.
Metzudat David (an 18th-century commentary on the Prophets and Writings) explains why this is "for Your sake": people speak of the "city of God" and the "God of Israel," so leaving them in the hands of other nations does not honor You.
Metzudat David on Daniel 9:19אָבִינוּ אָב הָרַחֲמָן הַרְאֵנוּ אוֹת לְטוֹבָה וְקַבֵּץ נְפוּצוֹתֵינוּ מֵאַרְבַּע כַּנְפוֹת הָאָרֶץ.
Our Father, merciful Father, show us a sign for good and gather our scattered people from the four corners of the earth
יַכִּירוּ וְיֵדְעוּ כָּל הַגּוֹיִם כִּי אַתָּה יְיָ אֱלֺהֵינוּ.
Let them recognize and know, all the nations, that You, Hashem, are our God
What it means
Let all the nations recognize and know that You, Hashem, are our God.
וְעַתָּה יְיָ אָבִינוּ אָתָּה אֲנַחְנוּ הַחֹמֶר וְאַתָּה יֹצְרֵנוּ וּמַעֲשֵׂה יָדְךָ כֻּלָּנוּ.
And now, Hashem, You are our Father. We are the clay, and You are our Shaper, and the work of Your hand, all of us
What it means
And now, Hashem, You are our Father. We are the clay and You are our Shaper, and all of us are the work of Your hand.
From Yeshayahu 64:7. Two verses earlier he says, "All our righteous acts are like a filthy rag." Then comes this: "Now, Hashem, You are our Father, we are the clay."
Yeshayahu 64:5-7הוֹשִׁיעֵנוּ לְמַעַן שְׁמֶךָ אָבִינוּ מַלְכֵּנוּ צוּרֵנוּ וְגוֹאֲלֵנוּ.
Save us for the sake of Your name, our Father, our King, our Rock, and our Redeemer
What it means
"Father" and "Redeemer" also sit together in Yeshayahu 63:16, about ten verses before the clay verse: "You, Hashem, are our Father; our Redeemer from of old is Your name."
Yeshayahu 63:16חוּסָה יְיָ עַל עַמֶּךָ וְאַל תִּתֵּן נַחֲלָתְךָ לְחֶרְפָּה לִמְשָׁל בָּם גּוֹיִם. לָמָּה יֹאמְרוּ בָעַמִּים אַיֵּה אֱלֺהֵיהֶם.
Have pity, Hashem, on Your people and do not give Your inheritance to disgrace, for nations to rule over them. Why should they say among the peoples, "Where is their God?"
What it means
Have pity on Your people, Hashem, and do not give Your inheritance over to disgrace, for nations to rule over them. Why should they say among the peoples, "Where is their God?"
From Yoel 2:17. Yoel (Joel) was a prophet who called for a fast after locusts stripped the land. "Rule over them" can also mean "be a byword about them." Rashi reads it that way: a saying people use to mock us. Radak (Rabbi David Kimchi, Provence, around 1200) reads it as foreign rule, since famine drove many to live in other lands.
Yoel 1:4, 1:14, 2:17; Rashi and Radak on Yoel 2:17יָדַעְנוּ יְיָ כִּי חָטָאנוּ וְאֵין מִי יַעֲמֹד בַּעֲדֵנוּ אֶלָּא שִׁמְךָ הַגָּדוֹל יַעֲמָד לָנוּ בְּעֵת צָרָה.
We know, Hashem, that we have sinned, and there is no one who will stand up for us except Your great name, which will stand up for us in a time of trouble
What it means
We know, Hashem, that we have sinned, and no one will stand up for us. Only Your great name will stand up for us in a time of trouble.
Machzor Vitry (a prayer book from France, about 1100) has this paragraph's verses in nearly the same order, but not this sentence. After "Where is their God?" it goes straight to "We know that we have no deeds."
Machzor Vitry, Order of Shacharit 93יָדַעְנוּ כִּי אֵין בָּנוּ מַעֲשִׂים צְדָקָה עֲשֵׂה עִמָּנוּ לְמַעַן שְׁמֶךָ.
We know that we have no deeds. Deal with us in charity for Your name's sake
What it means
We know that we have no deeds to show. Deal with us in charity, for the sake of Your name.
כְּרַחֵם אָב עַל בָּנִים כֵּן תְּרַחֵם יְיָ עָלֵינוּ וְהוֹשִׁיעֵנוּ לְמַעַן שְׁמֶךָ.
As a father has compassion on his children, so have compassion, Hashem, on us, and save us for the sake of Your name
What it means
As a father has compassion on his children, so have compassion on us, Hashem, and save us for the sake of Your name.
From Tehillim 103:13: "As a father has compassion on his children, so Hashem has compassion on those who fear Him." The prayer swaps the end for "on us." Its verb can be read "You do" or "may You," and we translate it as a request.
Tehillim 103:13חֲמוֹל עַל עַמֶּךָ רַחֵם עַל נַחֲלָתֶךָ חוּסָה נָּא כְּרוֹב רַחֲמֶיךָ חָנֵּנוּ מַלְכֵּנוּ וַעֲנֵנוּ
Take pity on Your people, have compassion on Your inheritance, spare us, please, in keeping with Your great compassion. Be gracious to us, our King, and answer us
What it means
Four words for mercy in one line. Two of them have famous uses. Pharaoh's daughter "took pity" (chamol) on a crying baby, Moshe. And God tells Yonah: you "cared" (chus) about a plant you never worked for, so should I not care about the great city of Nineveh?
Shemot 2:6; Yonah 4:10-11כִּי לְךָ יְיָ הַצְּדָקָה עֹשֵׂה נִפְלָאוֹת בְּכָל עֵת.
For righteousness is Yours, Hashem, doing wonders at all times
What it means
For righteousness is Yours, Hashem. You do wonders at all times.
This line starts like Daniel 9:7: "To You, my Master, belongs righteousness, and to us, shame of face." The prayer stops before the shame and goes on to "doing wonders at all times."
Daniel 9:7הַבֶּט נָא רַחֶם נָא וְהוֹשִׁיעָה נָא צֹאן מַרְעִיתֶךָ וְאַל יִמְשָׁל בָּנוּ קֶצֶף כִּי לְךָ יְיָ הַיְשׁוּעָה.
Look, please, have compassion, please, and save, please, the flock of Your pasture, and do not let wrath rule over us, for rescue is Yours, Hashem
What it means
Look, please. Have compassion, please. Save, please, the flock You shepherd, and do not let wrath rule over us, for rescue belongs to You, Hashem.
"The flock of Your pasture" is a phrase from Tehillim. In Tehillim 100:3, which you said earlier in Mizmor LeTodah, it is joyful: "His people and the flock He shepherds." In Tehillim 74:1 it is a complaint: "Why does Your anger smoke at the flock You tend?"
Tehillim 100:3; 74:1בְּךָ תוֹחַלְתֵּנוּ אֱלוֹהַּ סְלִיחוֹת אָנָּא סְלַח נָא כִּי אֵל טוֹב וְסַלָּח אָתָּה.
In You is our hope, God of forgiveness. Please, forgive, please, for You are a good and forgiving God
What it means
In You is our hope, God of forgiveness. Please forgive us, for You are a God who is good and forgiving.
אָנָּא מֶלֶךְ חַנוּן וְרַחוּם זְכוֹר וְהַבֵּט לִבְרִית בֵּין הַבְּתָרִים וְתֵרָאֶה לְפָנֶיךָ עֲקֵדַת יָחִיד וּלְמַעַן יִשְׂרָאֵל אָבִינוּ.
Please, gracious and compassionate King, remember and look at the covenant between the pieces, and let it be seen before You: the binding of the only son, and for the sake of Israel, our father
What it means
Please, gracious and compassionate King, remember and look at the covenant between the pieces, and let the binding of the only son be seen before You, and for the sake of Israel, our father.
The line moves through three forefathers: Avraham's covenant, Yitzchak's binding, and "Israel our father," Yaakov. The Gemara (Shabbat 89b, the rabbis' discussions on the Mishnah) pictures a future scene: God tells Avraham, then Yaakov, that their children sinned, and both say "let them be erased." Yitzchak answers: "Are they my children and not Yours?"
Bereishit 15, 22, 32:29; Shabbat 89bאַל תַּעַזְבֵנוּ אָבִינוּ וְאַל תִּטְּשֵׁנוּ מַלְכֵּנוּ וְאַל תִּשְׁכָּחֵנוּ יוֹצְרֵנוּ וְאַל תַּעַשׁ עִמָּנוּ כָּלָה בְּגָלוּתֵנוּ כִּי אֵל מֶלֶךְ חַנּוּן וְרַחוּם אָתָּה.
Do not abandon us, our Father, and do not cast us off, our King, and do not forget us, our Shaper, and do not make an end of us in our exile, for You are a gracious and compassionate God and King
What it means
Do not abandon us, our Father. Do not cast us off, our King. Do not forget us, our Shaper. Do not make an end of us in our exile, for You are a God and King who is gracious and compassionate.