<snapdata remixID="11976310"><project name="1920 U2L4 Math Mod Experiments" app="Snap! 7, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="1920 U2L4 Math Mod Experiments"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="even? num %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><custom-block s="is %s divisible by %s ? (2)"><block var="num"/><l>2</l></custom-block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="odd? num %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><block s="reportNot"><custom-block s="is %s divisible by %s ? (2)"><block var="num"/><l>2</l></custom-block></block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="integer? %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><block s="reportEquals"><block s="reportRound"><block var="num"/></block><block var="num"/></block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="number of divisors" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doReport"><l></l></block></script></block-definition><block-definition s="is %&apos;num1&apos; divisible by %&apos;num2&apos; ? (2)" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doIfElse"><block s="reportNot"><block s="reportEquals"><block s="reportModulus"><block var="num1"/><block var="num2"/></block><l>0</l></block></block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script></block></script></block-definition></blocks><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" id="94"><pentrails>data:image/png;base64,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</pentrails><costumes><list struct="atomic" id="95"></list></costumes><sounds><list struct="atomic" id="96"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites select="5"><sprite name="mod 4" idx="4" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="101"><costumes><list struct="atomic" id="102"></list></costumes><sounds><list struct="atomic" id="103"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="10"><block s="reportModulus"><l>1</l><l>4</l></block></script><script x="10" y="34"><block s="reportModulus"><l>2</l><l>4</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>4</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>4</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>4</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>4</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>4</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>4</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>4</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>4</l></block></script></scripts></sprite><sprite name="mod 5" idx="5" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="137"><costumes><list struct="atomic" id="138"></list></costumes><sounds><list struct="atomic" id="139"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="10"><block s="reportModulus"><l>1</l><l>5</l></block></script><script x="10" y="34"><block s="reportModulus"><l>2</l><l>5</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>5</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>5</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>5</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>5</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>5</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>5</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>5</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>5</l></block></script><script x="202" y="47.16666666666663"><custom-block s="is %s divisible by %s ? (2)"><l>7</l><l>2</l></custom-block></script><script x="205" y="91.16666666666663"><custom-block s="even? num %s"><l>4</l></custom-block></script><script x="205" y="134.16666666666663"><custom-block s="odd? num %s"><l>4</l></custom-block></script><script x="206" y="181.16666666666663"><custom-block s="integer? %s"><l>1</l></custom-block></script></scripts></sprite><sprite name="mod 2" idx="2" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="182"><costumes><list struct="atomic" id="183"></list></costumes><sounds><list struct="atomic" id="184"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="10"><block s="reportModulus"><l>1</l><l>2</l></block></script><script x="10" y="34"><block s="reportModulus"><l>2</l><l>2</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>2</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>2</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>2</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>2</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>2</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>2</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>2</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>2</l></block></script></scripts></sprite><sprite name="mod 1" idx="1" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="218"><costumes><list struct="atomic" id="219"></list></costumes><sounds><list struct="atomic" id="220"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="10"><block s="reportModulus"><l>1</l><l>1</l></block></script><script x="10" y="34"><block s="reportModulus"><l>2</l><l>1</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>1</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>1</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>1</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>1</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>1</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>1</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>1</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>1</l></block></script><comment x="137.2" y="11.200000000000003" w="132" collapsed="true">There are mod blocks in each Sprite.&#xD;&#xD;Explore the blocks.  Click on them to see what they report.  &#xD;&#xD;Form a hypothesis about what the mod block reports.</comment></scripts></sprite><sprite name="mod 3" idx="3" x="-107" y="18" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="254"><costumes><list struct="atomic" id="255"></list></costumes><sounds><list struct="atomic" id="256"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="34"><block s="reportModulus"><l>68</l><l>18</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>3</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>3</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>3</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>3</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>3</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>3</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>3</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>3</l></block></script></scripts></sprite></sprites></stage><variables></variables></scene></scenes></project><media name="1920 U2L4 Math Mod Experiments" app="Snap! 7, https://snap.berkeley.edu" version="2"></media></snapdata>