<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-454284438531296010</id><updated>2025-07-29T10:17:55.652-07:00</updated><category term="Potęga o wykładniku naturalnym"/><category term="Tabliczka mnożenia"/><category term="Dodawania"/><category term="Lekcje wyrównawcze"/><category term="Odejmowanie"/><category term="Tabliczka dzielenia"/><category term="(*)Potęga o wykładniku naturalnym"/><category term="(**) Mnożenie i dzielenie potęg o jednakowych podstawach"/><category term="(***)Potęgowanie iloczynu i ilorazu – jednakowe wykładniki"/><category term="Czas"/><category term="Kreatywna matematyka"/><category term="Math-Drills"/><category term="Metoda &quot;motylkowa&quot; - dodawanie i odejmowanie ułamków"/><category term="Mnożenie przez 9"/><category term="Pliki PDF do druku"/><category term="Testy z matematyki klas 4 - 6"/><category term="Ułamki i klocki - proste podstawy"/><category term="Zamiana jednostek"/><title type='text'>Matematyka</title><subtitle type='html'>Matematyka,wzory,zadania z rozwiązaniami.Szkoła podstawowa, gimnazjum,liceum, matura.</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>13</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-6048569456595375416</id><published>2024-12-01T07:24:00.000-08:00</published><updated>2024-12-01T07:33:55.522-08:00</updated><title type='text'>Z koniecznością wpisania odpowiedzi</title><content type='html'>&lt;!DOCTYPE html&gt;
&lt;html lang=&quot;pl&quot;&gt;
&lt;head&gt;
    &lt;meta charset=&quot;UTF-8&quot;&gt;
    &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width, initial-scale=1.0&quot;&gt;
    &lt;title&gt;Test NWD&lt;/title&gt;
    &lt;style&gt;
        body {
            font-family: Arial, sans-serif;
            font-size: 16px;  /* Przywrócony standardowy rozmiar czcionki */
            margin: 40px;
        }
        input, button {
            margin-top: 10px;
            font-size: 16px;  /* Przywrócony standardowy rozmiar czcionki */
        }
        .przyklad {
            font-size: 24px;  /* Zwiększona czcionka przykładów o połowę */
        }
        .check-icon {
            background: url(&#39;https://png.pngtree.com/png-vector/20190228/ourlarge/pngtree-check-mark-icon-design-template-vector-isolated-png-image_711433.jpg&#39;) no-repeat center center;
            background-size: contain;
            width: 32px;
            height: 32px;
            border: none;
            cursor: pointer;
        }
    &lt;/style&gt;
&lt;/head&gt;
&lt;body&gt;
    &lt;h1&gt;Test Największego Wspólnego Dzielnika (NWD)&lt;/h1&gt;
    &lt;div id=&quot;zadania&quot;&gt;&lt;/div&gt;
    &lt;button onclick=&quot;generujPrzyklad()&quot;&gt;Dalej&lt;/button&gt;

    &lt;script&gt;
        let licznik = 0;

        function nwd(a, b) {
            let kroki = [];
            while (b) {
                let t = b;
                kroki.push(`NWD(${a}, ${b}) = NWD(${b}, ${a % b})`);
                b = a % b;
                a = t;
            }
            kroki.push(`Największy wspólny dzielnik to ${a}.`);
            return kroki;
        }

        function czynnikiPierwsze(n) {
            let czynniki = [];
            let d = 2;
            while (n &gt; 1) {
                while (n % d === 0) {
                    czynniki.push(d);
                    n /= d;
                }
                d++;
            }
            return czynniki;
        }

        function generujPrzyklad() {
            licznik++;
            const liczba1 = Math.floor(Math.random() * 100) + 1;
            const liczba2 = Math.floor(Math.random() * 100) + 1;
            const zadania = document.getElementById(&#39;zadania&#39;);

            const noweZadanie = document.createElement(&#39;div&#39;);
            noweZadanie.id = `zadanie-${licznik}`;
            noweZadanie.innerHTML = `
                &lt;p class=&quot;przyklad&quot;&gt;Przykład ${licznik}: NWD(${liczba1}, ${liczba2})&lt;/p&gt;
                &lt;label for=&quot;odp-${licznik}&quot;&gt;Twoja odpowiedź:&lt;/label&gt;
                &lt;input type=&quot;number&quot; id=&quot;odp-${licznik}&quot; onkeydown=&quot;if(event.key === &#39;Enter&#39;){sprawdzOdp(${licznik}, ${liczba1}, ${liczba2});}&quot;&gt;
                &lt;button onclick=&quot;sprawdzOdp(${licznik}, ${liczba1}, ${liczba2})&quot;&gt;Sprawdź&lt;/button&gt;
                &lt;button class=&quot;check-icon&quot; onclick=&quot;sprawdzOdp(${licznik}, ${liczba1}, ${liczba2})&quot;&gt;&lt;/button&gt;
                &lt;p id=&quot;wynik-${licznik}&quot;&gt;&lt;/p&gt;
                &lt;div id=&quot;kroki-${licznik}&quot;&gt;&lt;/div&gt;
                &lt;div id=&quot;czynniki-${licznik}&quot;&gt;&lt;/div&gt;
            `;
            zadania.appendChild(noweZadanie);
        }

        function sprawdzOdp(id, liczba1, liczba2) {
            const userOdp = parseInt(document.getElementById(`odp-${id}`).value);
            if (isNaN(userOdp)) {
                alert(&quot;Proszę wprowadzić odpowiedź przed sprawdzeniem.&quot;);
                return;
            }
            const kroki = nwd(liczba1, liczba2);
            const poprawnaOdp = parseInt(kroki[kroki.length - 1].match(/\d+/)[0]);
            const wynik = document.getElementById(`wynik-${id}`);
            const krokiElement = document.getElementById(`kroki-${id}`);
            const czynnikiElement = document.getElementById(`czynniki-${id}`);
            
            if (userOdp === poprawnaOdp) {
                wynik.innerText = &quot;Brawo! Poprawna odpowiedź!&quot;;
            } else {
                wynik.innerText = `Niestety, błędna odpowiedź. Poprawna odpowiedź to ${poprawnaOdp}.`;
            }

            const czynniki1 = czynnikiPierwsze(liczba1).join(&#39; × &#39;);
            const czynniki2 = czynnikiPierwsze(liczba2).join(&#39; × &#39;);
            krokiElement.innerHTML = &#39;Rozwiązanie krok po kroku:&lt;br&gt;&#39; + kroki.join(&#39;&lt;br&gt;&#39;);
            czynnikiElement.innerHTML = `Rozkład na czynniki pierwsze:&lt;br&gt; ${liczba1} = ${czynniki1}&lt;br&gt; ${liczba2} = ${czynniki2}`;
            
            if (userOdp === poprawnaOdp) {
                setTimeout(generujPrzyklad, 1000);  // Automatycznie generuj nowe zadanie po krótkim opóźnieniu
            }
        }

        // Generuj pierwsze zadanie po załadowaniu strony
        window.onload = generujPrzyklad;
    &lt;/script&gt;
&lt;/body&gt;
&lt;/html&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/6048569456595375416/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2024/12/test-nwd-body-font-family-arial-sans.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/6048569456595375416'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/6048569456595375416'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2024/12/test-nwd-body-font-family-arial-sans.html' title='Z koniecznością wpisania odpowiedzi'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-4129249005748279413</id><published>2024-12-01T06:55:00.000-08:00</published><updated>2024-12-01T07:31:16.032-08:00</updated><title type='text'>Bez  konieczności wpisania odpowiedzi</title><content type='html'>&lt;!DOCTYPE html&gt;
&lt;html lang=&quot;pl&quot;&gt;
&lt;head&gt;
    &lt;meta charset=&quot;UTF-8&quot;&gt;
    &lt;meta name=&quot;viewport&quot; content=&quot;width=device-width, initial-scale=1.0&quot;&gt;
    &lt;title&gt;Test NWD&lt;/title&gt;
    &lt;style&gt;
        body {
            font-family: Arial, sans-serif;
            font-size: 16px;  /* Przywrócony standardowy rozmiar czcionki */
            margin: 40px;
        }
        input, button {
            margin-top: 10px;
            font-size: 16px;  /* Przywrócony standardowy rozmiar czcionki */
        }
        .przyklad {
            font-size: 24px;  /* Zwiększona czcionka przykładów o połowę */
        }
        .check-icon {
            background: url(&#39;https://png.pngtree.com/png-vector/20190228/ourlarge/pngtree-check-mark-icon-design-template-vector-isolated-png-image_711433.jpg&#39;) no-repeat center center;
            background-size: contain;
            width: 32px;
            height: 32px;
            border: none;
            cursor: pointer;
        }
    &lt;/style&gt;
&lt;/head&gt;
&lt;body&gt;
    &lt;h1&gt;Test Największego Wspólnego Dzielnika (NWD)&lt;/h1&gt;
    &lt;div id=&quot;zadania&quot;&gt;&lt;/div&gt;
    &lt;button onclick=&quot;generujPrzyklad()&quot;&gt;Dalej&lt;/button&gt;

    &lt;script&gt;
        let licznik = 0;

        function nwd(a, b) {
            let kroki = [];
            while (b) {
                let t = b;
                kroki.push(`NWD(${a}, ${b}) = NWD(${b}, ${a % b})`);
                b = a % b;
                a = t;
            }
            kroki.push(`Największy wspólny dzielnik to ${a}.`);
            return kroki;
        }

        function czynnikiPierwsze(n) {
            let czynniki = [];
            let d = 2;
            while (n &gt; 1) {
                while (n % d === 0) {
                    czynniki.push(d);
                    n /= d;
                }
                d++;
            }
            return czynniki;
        }

        function generujPrzyklad() {
            licznik++;
            const liczba1 = Math.floor(Math.random() * 100) + 1;
            const liczba2 = Math.floor(Math.random() * 100) + 1;
            const zadania = document.getElementById(&#39;zadania&#39;);

            const noweZadanie = document.createElement(&#39;div&#39;);
            noweZadanie.id = `zadanie-${licznik}`;
            noweZadanie.innerHTML = `
                &lt;p class=&quot;przyklad&quot;&gt;Przykład ${licznik}: NWD(${liczba1}, ${liczba2})&lt;/p&gt;
                &lt;label for=&quot;odp-${licznik}&quot;&gt;Twoja odpowiedź:&lt;/label&gt;
                &lt;input type=&quot;number&quot; id=&quot;odp-${licznik}&quot;&gt;
                &lt;button onclick=&quot;sprawdzOdp(${licznik}, ${liczba1}, ${liczba2})&quot;&gt;Sprawdź&lt;/button&gt;
                &lt;button class=&quot;check-icon&quot; onclick=&quot;sprawdzOdp(${licznik}, ${liczba1}, ${liczba2})&quot;&gt;&lt;/button&gt;
                &lt;p id=&quot;wynik-${licznik}&quot;&gt;&lt;/p&gt;
                &lt;div id=&quot;kroki-${licznik}&quot;&gt;&lt;/div&gt;
                &lt;div id=&quot;czynniki-${licznik}&quot;&gt;&lt;/div&gt;
            `;
            zadania.appendChild(noweZadanie);
        }

        function sprawdzOdp(id, liczba1, liczba2) {
            const userOdp = parseInt(document.getElementById(`odp-${id}`).value);
            const kroki = nwd(liczba1, liczba2);
            const poprawnaOdp = parseInt(kroki[kroki.length - 1].match(/\d+/)[0]);
            const wynik = document.getElementById(`wynik-${id}`);
            const krokiElement = document.getElementById(`kroki-${id}`);
            const czynnikiElement = document.getElementById(`czynniki-${id}`);
            
            if (userOdp === poprawnaOdp) {
                wynik.innerText = &quot;Brawo! Poprawna odpowiedź!&quot;;
            } else {
                wynik.innerText = `Niestety, błędna odpowiedź. Poprawna odpowiedź to ${poprawnaOdp}.`;
            }

            const czynniki1 = czynnikiPierwsze(liczba1).join(&#39; × &#39;);
            const czynniki2 = czynnikiPierwsze(liczba2).join(&#39; × &#39;);
            krokiElement.innerHTML = &#39;Rozwiązanie krok po kroku:&lt;br&gt;&#39; + kroki.join(&#39;&lt;br&gt;&#39;);
            czynnikiElement.innerHTML = `Rozkład na czynniki pierwsze:&lt;br&gt; ${liczba1} = ${czynniki1}&lt;br&gt; ${liczba2} = ${czynniki2}`;
            
            if (userOdp === poprawnaOdp) {
                setTimeout(generujPrzyklad, 500);  // Automatycznie generuj nowe zadanie po krótkim opóźnieniu
            }
        }

        // Generuj pierwsze zadanie po załadowaniu strony
        window.onload = generujPrzyklad;
    &lt;/script&gt;
&lt;/body&gt;
&lt;/html&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/4129249005748279413/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2024/12/obliczanie-nwd-body-font-family-arial.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/4129249005748279413'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/4129249005748279413'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2024/12/obliczanie-nwd-body-font-family-arial.html' title='Bez  konieczności wpisania odpowiedzi'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-8680754881122603822</id><published>2017-11-05T08:12:00.006-08:00</published><updated>2022-05-17T06:05:39.677-07:00</updated><title type='text'>Zmiana adresu strony - WAŻNE</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;UWAGA!&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;W związku z rozwiązaniami praktycznymi, zapraszam na nowy adres strony:&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444;&quot;&gt;&lt;span style=&quot;font-family: verdana; font-size: medium;&quot;&gt;&lt;a href=&quot;https://www.matematykauczy.pl/&quot; target=&quot;_blank&quot;&gt;www.matematykauczy.pl&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;Tam będą najnowsze posty, aktualizacje!&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;Pozdrawiam i zapraszam :)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span face=&quot;&amp;quot;verdana&amp;quot; , sans-serif&quot; style=&quot;color: #444444; font-family: verdana; font-size: medium;&quot;&gt;Dorota&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/8680754881122603822/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2017/11/zmiana-adresu-bloga-wazne.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/8680754881122603822'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/8680754881122603822'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2017/11/zmiana-adresu-bloga-wazne.html' title='Zmiana adresu strony - WAŻNE'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-2521269992490076134</id><published>2016-09-21T01:28:00.002-07:00</published><updated>2016-09-21T01:33:22.245-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Ułamki i klocki - proste podstawy"/><title type='text'>Ułamki schowane w klockach - nauka przez zabawę</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
Klocki, to nie tylko zabawki!&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIRJWB-IuTg4VeHfx1C4-cE1sTJDRiLc8p1tn8W4KdmPP3zGazbUpkVyM10xpmaNYGzfaUR0xysbkXzNK4J7QGwrR17lo8iZevpN5QVNRbweOpgaxtI2ptN0vchZ8dyAo_LcRMKQR_ghU/s1600/klocki.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;384&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIRJWB-IuTg4VeHfx1C4-cE1sTJDRiLc8p1tn8W4KdmPP3zGazbUpkVyM10xpmaNYGzfaUR0xysbkXzNK4J7QGwrR17lo8iZevpN5QVNRbweOpgaxtI2ptN0vchZ8dyAo_LcRMKQR_ghU/s640/klocki.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjysSvMuYMm0N1MeQrgP5QmMtV5S69icDIrT4lxzGmGQD4pCRVmvVW7iaAVT51j7eqJnU6k0a7C0Bs8gHQCfYj8BcpE6bST1lW_XfLrwkkIfVq4WxpZX4lcAWrQGFIve6YV0S0i0yqvpP8/s1600/k1.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;500&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjysSvMuYMm0N1MeQrgP5QmMtV5S69icDIrT4lxzGmGQD4pCRVmvVW7iaAVT51j7eqJnU6k0a7C0Bs8gHQCfYj8BcpE6bST1lW_XfLrwkkIfVq4WxpZX4lcAWrQGFIve6YV0S0i0yqvpP8/s640/k1.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbU-CiuhA5W95_KfoNzj9LkG4vBVGcWogNjgLroy8DZl-ErzdJypm1YM-Rkkrc8CIxsNINgfjQsHPAccK_RC1DKW3C6w7MkYHVhyphenhyphenoIE3gnd_LNfZdxAGFQfWw0evg9VLEKldX4cr1gdGM/s1600/k2.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;472&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbU-CiuhA5W95_KfoNzj9LkG4vBVGcWogNjgLroy8DZl-ErzdJypm1YM-Rkkrc8CIxsNINgfjQsHPAccK_RC1DKW3C6w7MkYHVhyphenhyphenoIE3gnd_LNfZdxAGFQfWw0evg9VLEKldX4cr1gdGM/s640/k2.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZMjx56e6uxhs2L2LtxzJWUOjw0w1mcD-Kfm9gtpjNX5QRhqtFaRwlJ68PhkfCCC3z2QKBb20DwPDXW_uJeNEh5hFgsePUCBisVuLEUOM5P0hk6ohm5bfflubL42EVqYaDHT3DcFy3KJ4/s1600/k3.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;472&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZMjx56e6uxhs2L2LtxzJWUOjw0w1mcD-Kfm9gtpjNX5QRhqtFaRwlJ68PhkfCCC3z2QKBb20DwPDXW_uJeNEh5hFgsePUCBisVuLEUOM5P0hk6ohm5bfflubL42EVqYaDHT3DcFy3KJ4/s640/k3.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqcuPJGGgHDltKh7x4lVMci3DUZ0bnLJXnzLFJGVGuUs3yEQ0SkEboIcTmZYxWCS3TlBF0AndwPeNixQqCQI2NIy4XV9x-mfnzNujmI5AIS7-F-6y3SD7wnNHfBEGcryK8HpmRI5Vp10w/s1600/k4.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;446&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqcuPJGGgHDltKh7x4lVMci3DUZ0bnLJXnzLFJGVGuUs3yEQ0SkEboIcTmZYxWCS3TlBF0AndwPeNixQqCQI2NIy4XV9x-mfnzNujmI5AIS7-F-6y3SD7wnNHfBEGcryK8HpmRI5Vp10w/s640/k4.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;Źródł:http://www.icreativeideas.com/creative-ideas-how-to-use-lego-to-teach-kids-math/&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif; font-size: xx-small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Verdana, sans-serif; font-size: xx-small;&quot;&gt;Klocki, które uczą i bawią.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_3RdTpZnBCfjrsbzeB0NE7v-T1K4I5zAouYIShtopQirHIpP9vgzbR3FtsU9KL00oAVjSuSAYSi-W_Jc4DtoiVUvUjNYyqrnwhUZDlupR8sSGg8VVqjy9fsUvt2K-l6YUHGnsrIR2OfM/s1600/klocki.png&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;480&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_3RdTpZnBCfjrsbzeB0NE7v-T1K4I5zAouYIShtopQirHIpP9vgzbR3FtsU9KL00oAVjSuSAYSi-W_Jc4DtoiVUvUjNYyqrnwhUZDlupR8sSGg8VVqjy9fsUvt2K-l6YUHGnsrIR2OfM/s640/klocki.png&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;Źródło:https://www.facebook.com/edukido.polska/photos/a.532388373578595.1073741828.532382046912561/615033071980791/?type=3&amp;amp;theater&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/2521269992490076134/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/uamki-schowane-w-klockach-nauka-przez.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2521269992490076134'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2521269992490076134'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/uamki-schowane-w-klockach-nauka-przez.html' title='Ułamki schowane w klockach - nauka przez zabawę'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIRJWB-IuTg4VeHfx1C4-cE1sTJDRiLc8p1tn8W4KdmPP3zGazbUpkVyM10xpmaNYGzfaUR0xysbkXzNK4J7QGwrR17lo8iZevpN5QVNRbweOpgaxtI2ptN0vchZ8dyAo_LcRMKQR_ghU/s72-c/klocki.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-7002380713627703549</id><published>2016-09-21T01:16:00.003-07:00</published><updated>2016-09-21T01:21:34.924-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Metoda &quot;motylkowa&quot; - dodawanie i odejmowanie ułamków"/><title type='text'>Proste dodawanie i odejmowanie ułamków zwykłych - metoda &quot;motylkowa&quot;</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5JNtWoGm-9_9BW_Qg0i7LsEXTzYZ5QwY8TLloZSQ0UCEa85gowuJ1fG-JgZ5sTGnEEiwd4c81pREr4J8XsTTncBMmxcCcVtafMCjz3VuVCoL-zP96qthizZ8ASJRd2yyoU3EIIc6PLnM/s1600/Math-Hacks-That-Teachers-Never-Taught-Us.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;332&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5JNtWoGm-9_9BW_Qg0i7LsEXTzYZ5QwY8TLloZSQ0UCEa85gowuJ1fG-JgZ5sTGnEEiwd4c81pREr4J8XsTTncBMmxcCcVtafMCjz3VuVCoL-zP96qthizZ8ASJRd2yyoU3EIIc6PLnM/s640/Math-Hacks-That-Teachers-Never-Taught-Us.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;Źródło:&amp;nbsp;http://www.usefuldiys.com/2016/07/8-math-hacks-that-teachers-never-taught-us/&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/7002380713627703549/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/proste-dodawanie-i-odejmowanie-uamkow.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/7002380713627703549'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/7002380713627703549'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/proste-dodawanie-i-odejmowanie-uamkow.html' title='Proste dodawanie i odejmowanie ułamków zwykłych - metoda &quot;motylkowa&quot;'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5JNtWoGm-9_9BW_Qg0i7LsEXTzYZ5QwY8TLloZSQ0UCEa85gowuJ1fG-JgZ5sTGnEEiwd4c81pREr4J8XsTTncBMmxcCcVtafMCjz3VuVCoL-zP96qthizZ8ASJRd2yyoU3EIIc6PLnM/s72-c/Math-Hacks-That-Teachers-Never-Taught-Us.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-1357312184309502827</id><published>2016-09-21T01:07:00.000-07:00</published><updated>2016-09-21T01:07:07.622-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Mnożenie przez 9"/><category scheme="http://www.blogger.com/atom/ns#" term="Tabliczka mnożenia"/><title type='text'>Proste mnożenie przez 9 - proste i łatwe</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
Metoda - &quot;na palcach&quot;.&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqvSAKtX0E65ObD_jnePCtkWbzI0uk3f950OTNKrABuuIdi-Jnp6etlHkJCyynnXJuhXBNB1F8gg5MCE0JwNNnpoViM7NgQCf1TDgLx_dkkXoV_-MisFx1xzgaLCaUF267BQ5Bjm7TU_8/s1600/tabliczka+mno%25C5%25BCenia+na+palcach+4+x+9.gif&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqvSAKtX0E65ObD_jnePCtkWbzI0uk3f950OTNKrABuuIdi-Jnp6etlHkJCyynnXJuhXBNB1F8gg5MCE0JwNNnpoViM7NgQCf1TDgLx_dkkXoV_-MisFx1xzgaLCaUF267BQ5Bjm7TU_8/s640/tabliczka+mno%25C5%25BCenia+na+palcach+4+x+9.gif&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;Źródło:&amp;nbsp;http://www.matematyczny-swiat.pl/2013/10/tabliczka-mnozenia-na-palcach_25.html&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
Jest jeszcze kilka innych metod, które warto znać i stosować :)&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKBvNVWqcvCtLQRy30ueBkw_nf_0p3gOojOhoWxS5Sp0W0PWN1dwzn4yfDc1UyfoWP-1dqY9XMKWSqGUmEhw3SjGfBrbVsdlV4wYWAg3e1l84oOincTj-0gueEBaf0iOnbl8-ue1abVUE/s1600/13873027_554556921415027_7661755514047327479_n.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;536&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKBvNVWqcvCtLQRy30ueBkw_nf_0p3gOojOhoWxS5Sp0W0PWN1dwzn4yfDc1UyfoWP-1dqY9XMKWSqGUmEhw3SjGfBrbVsdlV4wYWAg3e1l84oOincTj-0gueEBaf0iOnbl8-ue1abVUE/s640/13873027_554556921415027_7661755514047327479_n.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEix7UKCbxeCDJOMqOCIzok-9sx4ZqdshirmgOD8QLdGF_CDRmaEq8HASStrzQ29rD1X2-NkrX_Jjwb_KhoomAlNmq0Mx2R_WLCrlMUaBjMUllazq1ip3lKrD_RN5xbNg_f4ydMLIXMkr1M/s1600/13680679_554555991415120_5085197496832959835_n.jpg&quot; imageanchor=&quot;1&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;536&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEix7UKCbxeCDJOMqOCIzok-9sx4ZqdshirmgOD8QLdGF_CDRmaEq8HASStrzQ29rD1X2-NkrX_Jjwb_KhoomAlNmq0Mx2R_WLCrlMUaBjMUllazq1ip3lKrD_RN5xbNg_f4ydMLIXMkr1M/s640/13680679_554555991415120_5085197496832959835_n.jpg&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;font-size: xx-small;&quot;&gt;Źródło:&amp;nbsp;https://www.facebook.com/mathridersgdansk/&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
Prawda, że proste!&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/1357312184309502827/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/proste-mnozenie-przez-9-proste-i-atwe.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/1357312184309502827'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/1357312184309502827'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2016/09/proste-mnozenie-przez-9-proste-i-atwe.html' title='Proste mnożenie przez 9 - proste i łatwe'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqvSAKtX0E65ObD_jnePCtkWbzI0uk3f950OTNKrABuuIdi-Jnp6etlHkJCyynnXJuhXBNB1F8gg5MCE0JwNNnpoViM7NgQCf1TDgLx_dkkXoV_-MisFx1xzgaLCaUF267BQ5Bjm7TU_8/s72-c/tabliczka+mno%25C5%25BCenia+na+palcach+4+x+9.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-8386412465856038795</id><published>2015-09-16T02:55:00.000-07:00</published><updated>2020-02-12T02:48:03.921-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Czas"/><category scheme="http://www.blogger.com/atom/ns#" term="Dodawania"/><category scheme="http://www.blogger.com/atom/ns#" term="Lekcje wyrównawcze"/><category scheme="http://www.blogger.com/atom/ns#" term="Math-Drills"/><category scheme="http://www.blogger.com/atom/ns#" term="Odejmowanie"/><category scheme="http://www.blogger.com/atom/ns#" term="Pliki PDF do druku"/><category scheme="http://www.blogger.com/atom/ns#" term="Tabliczka dzielenia"/><category scheme="http://www.blogger.com/atom/ns#" term="Tabliczka mnożenia"/><category scheme="http://www.blogger.com/atom/ns#" term="Zamiana jednostek"/><title type='text'>Math-Drills - baza plików PDF z zadaniami matematycznymi</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
Zachęcam ze skorzystania ze strony, która zawiera bardzo dużo plików w formacie PDF, łącznie z rozwiązaniami. Duża pomoc i dla ucznia, rodzica i dla nauczyciela :) Jest to strona anglojęzyczna, jednak łatwo można się po niej poruszać. Zakres szkoły podstawowej i gimnazjum.&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;http://www.math-drills.com/&quot; target=&quot;_blank&quot;&gt;http://www.math-drills.com/&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ8EG6-YhrCjiJm52vWugmt8VDDHaSVgGx2dllB9uQhm49loRSWtNIa5BORdMkGzOpGBWA5krINndkvrxceVL0lBHuk2-T3rFoHo4d0kGs498e7SnjGABt93bWU0sKOzROmmQQY3J6vJs/s1600/mathdrall.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;346&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ8EG6-YhrCjiJm52vWugmt8VDDHaSVgGx2dllB9uQhm49loRSWtNIa5BORdMkGzOpGBWA5krINndkvrxceVL0lBHuk2-T3rFoHo4d0kGs498e7SnjGABt93bWU0sKOzROmmQQY3J6vJs/s640/mathdrall.JPG&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
Przykład 1. Najprostsze działania&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicoS9zzUfkvq5EPS3BoLKKV6egDtcedNlMzaGWDi5mUe7yH4TbVNP78t-qxs0DSeDzZTKnZXwfgz2yShjRWYvt_-insf36KZvEzMBSj16CpGxLRTJk2Tk4y2GsYEOyg_oKIeD4u2jtU-A/s1600/mathdrall.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;520&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicoS9zzUfkvq5EPS3BoLKKV6egDtcedNlMzaGWDi5mUe7yH4TbVNP78t-qxs0DSeDzZTKnZXwfgz2yShjRWYvt_-insf36KZvEzMBSj16CpGxLRTJk2Tk4y2GsYEOyg_oKIeD4u2jtU-A/s640/mathdrall.JPG&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNdWI-_Kai6T-mFr8hgfxatZGCAaJJxnBMTcPBXGsUIdyrG9Q20Ir4wbNoTJzbbjPtwAGAwZahFdblchKvoLoknu6cKTiKVcI8cGk2kQeJ4KC31SfDw_87PChYyoiEMt4yhZhxyxxKmUI/s1600/mathdrall.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;512&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNdWI-_Kai6T-mFr8hgfxatZGCAaJJxnBMTcPBXGsUIdyrG9Q20Ir4wbNoTJzbbjPtwAGAwZahFdblchKvoLoknu6cKTiKVcI8cGk2kQeJ4KC31SfDw_87PChYyoiEMt4yhZhxyxxKmUI/s640/mathdrall.JPG&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
Przykład 2. Kąty&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
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Przykład 3. Zamiana jednostek&lt;/div&gt;
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Przykład 4. Czas&lt;/div&gt;
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&lt;a href=&quot;http://www.math-drills.com/timeworksheets/time_read_analog_minutes_15_001.pdf&quot; target=&quot;_blank&quot;&gt;http://www.math-drills.com/timeworksheets/time_read_analog_minutes_15_001.pdf&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/8386412465856038795/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/math-drills-baza-plikow-pdf-z-zadaniami.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/8386412465856038795'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/8386412465856038795'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/math-drills-baza-plikow-pdf-z-zadaniami.html' title='Math-Drills - baza plików PDF z zadaniami matematycznymi'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQ8EG6-YhrCjiJm52vWugmt8VDDHaSVgGx2dllB9uQhm49loRSWtNIa5BORdMkGzOpGBWA5krINndkvrxceVL0lBHuk2-T3rFoHo4d0kGs498e7SnjGABt93bWU0sKOzROmmQQY3J6vJs/s72-c/mathdrall.JPG" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-2415035640159586109</id><published>2015-09-10T09:57:00.000-07:00</published><updated>2015-09-10T09:57:28.777-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Dodawania"/><category scheme="http://www.blogger.com/atom/ns#" term="Lekcje wyrównawcze"/><category scheme="http://www.blogger.com/atom/ns#" term="Odejmowanie"/><category scheme="http://www.blogger.com/atom/ns#" term="Tabliczka dzielenia"/><category scheme="http://www.blogger.com/atom/ns#" term="Tabliczka mnożenia"/><title type='text'>HEXelon - tabliczka mnożenia/dzielenia/dodawania/odejmowania</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;
&amp;nbsp;&lt;b&gt;HEXelon - tabliczka mnożenia/dzielenia/dodawania/odejmowania, jest darmowym programem (freeware)&amp;nbsp;&lt;/b&gt;do nauki oraz powtórzenia i utrwalenia nie tylko tabliczki mnożenia, ale również podstawowych działań w zbiorze liczb naturalnych. Atutem i zaletą tego programu jest komunikowanie się z dziećmi głosem lektora, od razu po podanym złym wyniku, koryguje go oraz&amp;nbsp; wystawia oceny.&lt;/div&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkeX1X3aWd9pL0VL-1SSd201vElHjV4_gYx-n1bZHJufCaZbD8zsSe_6TZ0Hl_3s6WMylMz-LLHndi1D_9yKtFmigkizXaFMn2-FpNvVwemiM0yHpOLIHP7EEOGwA7BkxbPgfgZCXluWo/s1600/HEXelin5.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;281&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkeX1X3aWd9pL0VL-1SSd201vElHjV4_gYx-n1bZHJufCaZbD8zsSe_6TZ0Hl_3s6WMylMz-LLHndi1D_9yKtFmigkizXaFMn2-FpNvVwemiM0yHpOLIHP7EEOGwA7BkxbPgfgZCXluWo/s1600/HEXelin5.JPG&quot; width=&quot;400&quot; /&gt;&amp;nbsp;&lt;/a&gt;&lt;/div&gt;
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&amp;nbsp;W ustawieniach można określić prędkość zadawanych pytań, ilość pytań oraz wyłączenie lektora.&amp;nbsp;&lt;/div&gt;
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Program do pobrania, serdecznie polecam:&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&amp;nbsp;&lt;a href=&quot;http://www.hexelon.com/tabliczka_mnozenia/&quot; target=&quot;_blank&quot;&gt;http://www.hexelon.com/tabliczka_mnozenia/&lt;/a&gt;&lt;/div&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/2415035640159586109/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/hexelon-tabliczka-mnozeniadzieleniadoda.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2415035640159586109'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2415035640159586109'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/hexelon-tabliczka-mnozeniadzieleniadoda.html' title='HEXelon - tabliczka mnożenia/dzielenia/dodawania/odejmowania'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjShG8olqc2eLLFQMfXkaSBursR2g0VqitrzHIAfR61-kWHq2VFBuJrbSskTKb5OBxUbOXFkzpSQBzs7nLeEGHZFlHIZzLuMWAhzcpXCeToi7beGnzFAY0EAaOBfH0YY88XwOG0nE5TZTQ/s72-c/HEXelin.JPG" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-7326649182614258076</id><published>2015-09-10T09:55:00.000-07:00</published><updated>2015-09-10T09:58:22.090-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Testy z matematyki klas 4 - 6"/><title type='text'>Testy online z matematyki - http://www.thatquiz.org/pl/</title><content type='html'>&lt;div class=&quot;MsoNormal&quot;&gt;
Przedstawiam bardzo dobrą stronę z zadaniami online z matematyki dla szkoły podstawowej - warto tu zaglądnąć i poćwiczyć troszeczkę. Samemu decydujesz o trudności zadania.&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;a href=&quot;http://www.thatquiz.org/pl/&quot; target=&quot;_blank&quot;&gt;Testy ćwiczeniowe z matematyki online - Szkoła Podstawowa&lt;/a&gt;&lt;/div&gt;
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Jak wejdziemy na&amp;nbsp;&lt;u&gt;liczby całkowite/Arytmetyka&lt;/u&gt;, będziemy mieć testy i zadnia z dodawania, odejmowania, mnożenia i dzielenia również sposobem pisemnym -&amp;nbsp;&lt;a href=&quot;http://www.thatquiz.org/pl-1/matematyka/arytmetyka/&quot; target=&quot;_blank&quot;&gt;klik&lt;/a&gt;&lt;/div&gt;
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Jak wejdziemy na&amp;nbsp;&lt;u&gt;ułamki/Określ&lt;/u&gt;, to poćwiczymy odczytywanie ułamków z danych figur, zaznaczanie danych ułamków na figurach, zaznaczanie ułamków na osi liczbowe i wiele innych opcji -&amp;nbsp;&lt;a href=&quot;http://www.thatquiz.org/pl-6/matematyka/okresl/ulamki/&quot; target=&quot;_blank&quot;&gt;klik&lt;/a&gt;&amp;nbsp;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh08CTNhDAvDQZnrUNZ1zJrjdHJQ3rFqS5OZo73G3-l2D_bN0wLN7xtYosv4RTMhpIeQAb3S8ehvoGIbWzgRbfBDIZIrG14HQXSpp8-mKo4v1fDrYiF3WfTHoiAD1hXCNwKUECSnzXM_fM/s1600/testyonline3.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em; text-align: center;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;366&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh08CTNhDAvDQZnrUNZ1zJrjdHJQ3rFqS5OZo73G3-l2D_bN0wLN7xtYosv4RTMhpIeQAb3S8ehvoGIbWzgRbfBDIZIrG14HQXSpp8-mKo4v1fDrYiF3WfTHoiAD1hXCNwKUECSnzXM_fM/s1600/testyonline3.JPG&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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Natomiast jak wejdziemy na&amp;nbsp;&lt;u&gt;pojęcia/Czas,&lt;/u&gt;&amp;nbsp;to mamy odczytywanie czasu z zegara, obliczanie czasu, jaki upłynął, zamiana jednostek minut i godzin, również w uł.zwykłych oraz strefy czasowe -&amp;nbsp;&lt;a href=&quot;http://www.thatquiz.org/pl-g/matematyka/czas/&quot; target=&quot;_blank&quot;&gt;klik&lt;/a&gt;&lt;/div&gt;
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Jest jeszcze geometria/Geometria w której mamy pola i obwody figur płaskich oraz pola o objętości brył przestrzennych -&amp;nbsp;&lt;a href=&quot;http://www.thatquiz.org/pl-4/matematyka/geometria/&quot; target=&quot;_blank&quot;&gt;klik&lt;/a&gt;&lt;/div&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/7326649182614258076/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/testy-online-z-matematyki.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/7326649182614258076'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/7326649182614258076'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2015/09/testy-online-z-matematyki.html' title='Testy online z matematyki - http://www.thatquiz.org/pl/'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhD5fioMZex6hojVOds26n9YAYKapnpbm9Y97oO_2XY7-Tyo9az-OSVO1vCyWMM0IsE4eHuwpTLwiQKpJkS8b8uGbdw2e4UFhDwZ64RA0AQWQpeizKJ0UxzPhHHQ7rN1F3j1x4r246gPuQ/s72-c/matematykaonline.bmp" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-551381100795062992</id><published>2015-05-07T05:03:00.000-07:00</published><updated>2015-05-07T05:04:27.849-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Kreatywna matematyka"/><title type='text'>Matematyczne domino</title><content type='html'>&amp;nbsp;Warto urozmaicać sobie czas z matematyką, dlatego pragnę zaproponować matematyczne domino, którego zasady i opis jest na bardzo przydatnym blogu dla każdego rodzica:&amp;nbsp; &lt;a href=&quot;http://zamiastkserowki.blogspot.com/2015/04/domino-matematyczne.html&quot; target=&quot;_blank&quot;&gt;http://zamiastkserowki.blogspot.com/2015/04/domino-matematyczne.html&lt;/a&gt;&lt;br /&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/551381100795062992/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2015/05/matematyczne-domino.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/551381100795062992'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/551381100795062992'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2015/05/matematyczne-domino.html' title='Matematyczne domino'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj6rndIZpyWhbKqDo1oLyyT1GLSt1nZDIItOLG3-u-4Q_mxhbCvBK3JzxxRBnaK_0RWv7SQNecswuO5rtQhYHtD18hTQPjBIYb-1SLyPZIPuHM1C3s6CGJ7MidmudHVyoMWDQTrhVoySM/s72-c/domino.JPG" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-2050049259625338044</id><published>2011-08-31T01:37:00.000-07:00</published><updated>2012-07-26T12:20:03.247-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="(***)Potęgowanie iloczynu i ilorazu – jednakowe wykładniki"/><category scheme="http://www.blogger.com/atom/ns#" term="Potęga o wykładniku naturalnym"/><title type='text'>Potęgowanie iloczynu i ilorazu – jednakowe wykładniki, wzory i przykłady.</title><content type='html'>&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: maroon;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;(***)Potęgowanie iloczynu i ilorazu – &lt;u&gt;jednakowe wykładniki&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&amp;nbsp;&lt;/div&gt;
&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp; &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt; &amp;nbsp; &amp;nbsp;&amp;nbsp; &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAlCAIAAACbG7MkAAAA9UlEQVRYhe2X2w7DMAhD+f+fzt6qLhfjAF1Qhx+mKcXER8moJu1dktMBglU8uVU8uVU8uVU8ufU3PCIiQj3FlT/WJIfchJwi3eejYlNhv7rB9d2WkhR/HeYPUsGMWzzCw3QP0RgGxLPwjDBmJMY4rdnmITdwDjfVu+q/XMelzEgxizycMB751n5gPStTE8MTe6kYAe/GugoDzB6RDWN4SLNZfLfiIXaK5dlq5eIBZj6BqsM8/sPRBttkAnV2crGRPPsISxm6jakAv/KSOfjLAUZ0mF3dvfTgWBuNl1e5nFNnOElz31syWJb//VEqntwqntx6G88HAsZ+/TY+GCMAAAAASUVORK5CYII=&quot; /&gt;&lt;br /&gt;
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&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;Uwaga! Jak będziemy podnosić do potęgi &lt;b&gt;&lt;u&gt;ułamek mieszany&lt;/u&gt;&lt;/b&gt;, wówczas należy go &lt;b&gt;&lt;u&gt;zamienić na ułamek niewłaściwy&lt;/u&gt;&lt;/b&gt;.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;i&gt;Przykłady:&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&quot; /&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;i&gt;&lt;br /&gt;
&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;i&gt;Oblicz, korzystając z poznanych już wzorów na potęgowanie,&lt;u&gt;&lt;span style=&quot;color: #cc0000;&quot;&gt;zwracaj uwagę na jednakowe podstawy lub wykładniki danego potęgowania, &lt;/span&gt;&lt;/u&gt;&lt;span style=&quot;color: black;&quot;&gt;aby dobrać odpowiedni wzór.&lt;/span&gt;&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
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&quot; /&gt;&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/2050049259625338044/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2011/08/potegowanie-iloczynu-i-ilorazy.html#comment-form' title='Komentarze (5)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2050049259625338044'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/2050049259625338044'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2011/08/potegowanie-iloczynu-i-ilorazy.html' title='Potęgowanie iloczynu i ilorazu – jednakowe wykładniki, wzory i przykłady.'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>5</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-960948214565036590</id><published>2011-08-31T01:29:00.000-07:00</published><updated>2012-07-26T12:20:24.891-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="(**) Mnożenie i dzielenie potęg o jednakowych podstawach"/><category scheme="http://www.blogger.com/atom/ns#" term="Potęga o wykładniku naturalnym"/><title type='text'>Mnożenie i dzielenie potęg o jednakowych podstawach, wzory i przykłady.</title><content type='html'>&lt;div style=&quot;margin-bottom: 0cm; text-align: center;&quot;&gt;
&lt;span style=&quot;color: maroon;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;(**) Mnożenie i dzielenie potęg o &lt;u&gt;jednakowych podstawach&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
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&quot; /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://matematykauczy.blogspot.com/feeds/960948214565036590/comments/default' title='Komentarze do posta'/><link rel='replies' type='text/html' href='http://matematykauczy.blogspot.com/2011/08/mnozenie-i-dzielenie-poteg-o.html#comment-form' title='Komentarze (0)'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/960948214565036590'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/454284438531296010/posts/default/960948214565036590'/><link rel='alternate' type='text/html' href='http://matematykauczy.blogspot.com/2011/08/mnozenie-i-dzielenie-poteg-o.html' title='Mnożenie i dzielenie potęg o jednakowych podstawach, wzory i przykłady.'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-454284438531296010.post-2460081612021758661</id><published>2011-08-31T01:23:00.000-07:00</published><updated>2012-07-26T12:20:49.198-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="(*)Potęga o wykładniku naturalnym"/><category scheme="http://www.blogger.com/atom/ns#" term="Potęga o wykładniku naturalnym"/><title type='text'>Potęga o wykładniku naturalnym</title><content type='html'>&lt;br /&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;span style=&quot;color: maroon;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;(*)&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: maroon;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Potęga o wykładniku naturalnym  &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;/div&gt;
&lt;div align=&quot;LEFT&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: maroon;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;a href=&quot;data:image/png;base64,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&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;i&gt;n&lt;/i&gt; -  wykładnik potęgi ,  &lt;i&gt;n&lt;/i&gt;&amp;gt;0&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;span style=&quot;font-size: x-large;&quot;&gt;&lt;i&gt;a&lt;/i&gt;&lt;/span&gt;&lt;i&gt; &lt;/i&gt;- podstawa potęgi&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;LEFT&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align=&quot;LEFT&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;Potęgą o podstawie &lt;i&gt;a&lt;/i&gt; i wykładniku &lt;i&gt;n&lt;/i&gt;, nazywamy &lt;i&gt;n&lt;/i&gt; czynników  liczby &lt;i&gt;a,&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;LEFT&quot; style=&quot;font-style: normal; font-weight: medium; margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;czyli mnożymy tyle razy liczę &lt;i&gt;a, &lt;/i&gt; ile wskazuje wykładnik &lt;i&gt;n&lt;/i&gt;.&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;LEFT&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align=&quot;CENTER&quot; style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;i&gt;Proste potęgowanie liczb całkowitych&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: #7e0021;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;Kolejność wykonywania działań:&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;1- potęgowanie,&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;2- mnożenie i dzielenie,&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;color: black;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;3- dodawanie i odejmowanie.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;Jeśli potęgujemy liczbę &lt;b&gt;ujemna&lt;/b&gt; a wykładnik jest &lt;b&gt;parzysty (2,4,6,8...)&lt;/b&gt; wówczas wynik jest &lt;b&gt;dodatni&lt;/b&gt;.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;Jeśli potęgujemy liczbę &lt;b&gt;ujemną &lt;/b&gt;a wykładnik jest &lt;b&gt;nieparzysty (1,3,5,7,9...)&lt;/b&gt; wówczas wynik jest &lt;b&gt;ujemny&lt;/b&gt;.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;margin-bottom: 0cm;&quot;&gt;
&lt;span style=&quot;font-size: medium;&quot;&gt;Warto przypomnieć również zasady działań (mnożenia i dzielenia) na liczbach całkowitych, zwracając uwagę na to jak zmienia się znak w wyniku działania + lub - .&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
&lt;div style=&quot;text-align: center;&quot;&gt;
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