That's One Big Frog!
(ב) וַיֵּ֤ט אַהֲרֹן֙ אֶת־יָד֔וֹ עַ֖ל מֵימֵ֣י מִצְרָ֑יִם וַתַּ֙עַל֙ הַצְּפַרְדֵּ֔עַ וַתְּכַ֖ס אֶת־אֶ֥רֶץ מִצְרָֽיִם׃

(2) Aaron held out his arm over the waters of Egypt, and the frogs came up and covered the land of Egypt.

(ב) ותעל הצפרדע. צְפַרֵדַּע אַחַת הָיְתָה וְהָיוּ מַכִּין אוֹתָהּ וְהִיא מֻתֶּזֶת נְחִילִים נְחִילִים, זֶהוּ מִדְרָשׁוֹ (סנהדרין ס"ז). וּפְשׁוּטוֹ יֵשׁ לוֹמַר, שֵׁרוּץ הַצְפַרְדְּעִים קוֹרֵא לְשׁוֹן יְחִידוּת; וְכֵן וַתְּהִי הַכִּנָּם – הָרְחִישָׁה, פדולייר"א בְּלַעַז, וְאַף ותעל הצפרדע – גרינולייר"א בְּלַעַז:

(2) ותעל הצפרדע AND THE FROGS (lit. frog) CAME UP — Really there was only one frog, but when they struck at it, it was split into many swarms. This is a Midrashic explanation of the usage of the singular noun here (cf. Sanhedrin 67b; Exodus Rabbah 10:4). But as a literal explanation one must say that the swarm of the frogs is denoted by the singular form. Similar is, (v. 14) “and there was the כנם” — the swarm of insects, in old French pedulier; i. e. a swarm of lice. So, too, here, ותעל הצפרדע means: and there came up a grenouillière (old French) i. e. a swarm of frogs.

(שמות ח, ב) ותעל הצפרדע ותכס את ארץ מצרים אמר ר' אלעזר צפרדע אחת היתה השריצה ומלאה כל ארץ מצרים כתנאי רבי עקיבא אומר צפרדע אחת היתה ומלאה כל ארץ מצרים אמר לו רבי אלעזר בן עזריה עקיבא מה לך אצל הגדה כלה מדברותיך ולך אצל נגעים ואהלות צפרדע אחת היתה שרקה להם והם באו:

"And the frog came up, and covered the land of Egypt." (Exodus 8:2) Rabbi Eleazar said: It was one frog, which bred prolifically and filled the land. This is a matter disputed by Tannaim. Rabbi Akiba said: There was one frog which filled the whole of Egypt [by breeding]. But Rabbi Eleazar ben Azariah said to him, ‘Akiba, What hast thou to do with Haggadah? Cease thy words and devote thyself to ‘Leprosies’ and ‘Tents.’ One frog croaked for the others, and they came’.

Nahalat Ya'akov

The Egyptians struck [the frog] to expel it from the land, thus the frogs swarmed, and it wasn't the Israelites who struck it in order that [the frogs] swarm.

Oznaim LaTorah (Rabbi Zalman Sorotzkin)

Why did only one frog come up originally? It is the way of the Master of Mercy to give the sinner time to repent ... But [the Egyptians] "put out the fire with oil," they tried to be rid of the frog with the stick ... and brought with their own hand the frogs on the whole land of Egypt.