class: center, middle # 🎉 Fun Math Adventures! 🎈 ## Exploring Fractions, Ratios & More! ### With Professor Panda 🐼 --- class: center, middle # 🍕 Fractions Are Yummy! 🍕 ## Let's share some pizza! --- ## What is a Fraction? <div class="fraction"> <span>1</span> <span class="bottom">2</span> </div> ### One half means we split something into 2 equal parts and take 1 part 🍕🍕 → 🍕 (we have 1 out of 2 slices) --- ## Let's Visualize Fractions! <div style="display: flex; justify-content: space-around; margin: 30px 0;"> <div> <div class="fraction"> <span>1</span> <span class="bottom">4</span> </div> <div style="width:100px;height:100px;background:conic-gradient(#ff6b6b 90deg,#f0f9ff 90deg);border-radius:50%;"></div> </div> <div> <div class="fraction"> <span>3</span> <span class="bottom">8</span> </div> <div style="width:100px;height:100px;background:conic-gradient(#4d96ff 135deg,#f0f9ff 135deg);border-radius:50%;"></div> </div> </div> --- ## Adding Fractions with Same Denominator <div class="fraction"> <span>1</span> <span class="bottom">4</span> </div> + <div class="fraction"> <span>2</span> <span class="bottom">4</span> </div> = <div class="fraction"> <span>3</span> <span class="bottom">4</span> </div> 🍕 + 🍕🍕 = 🍕🍕🍕 (out of 4 slices) --- class: center, middle # 🔢 Ratios Are Everywhere! 🔢 ## Comparing amounts of things --- ## What is a Ratio? ### In our classroom: 👧 : 👦 = 3 : 2 This means for every 3 girls, there are 2 boys --- ## Colorful Ratio Example <div style="display: flex; justify-content: center; margin: 20px 0;"> <div class="color-box" style="background-color: #ff6b6b;"></div> <div class="color-box" style="background-color: #ff6b6b;"></div> <div class="color-box" style="background-color: #4d96ff;"></div> </div> ### The ratio of red to blue boxes is 2:1 --- ## Mixing Paint with Ratios To make green paint: 🟢 = 2 parts 🟡 + 1 part 🔵 So if we use: - 4 cups 🟡 - 2 cups 🔵 We'll get 6 cups of 🟢! --- class: center, middle # 🔄 Sequences & Patterns 🔄 ## What comes next? --- ## Number Sequences ### Can you complete these? 1, 3, 5, 7, <span class="sequence">?</span> (Odd numbers: +2 each time) 10, 7, 4, 1, <span class="sequence">?</span> (Counting down by 3) --- ## Fun Shape Patterns 🔺 🔴 🔺 🔴 🔺 <span style="color:#ff6b6b">?</span> 🍎 🍌 🍎 🍌 <span style="font-size:40px">?</span> --- class: center, middle # 🎲 Probability Fun! 🎲 ## What are the chances? --- ## Rolling Dice Probability ### With one die: <div style="display: flex; justify-content: center;"> <span class="dice">⚀</span> <span class="dice">⚁</span> <span class="dice">⚂</span> <span class="dice">⚃</span> <span class="dice">⚄</span> <span class="dice">⚅</span> </div> Chance of rolling a 3: 1 out of 6 --- ## Candy Jar Probability In a jar with: <span class="candy" style="color:red">🍬</span> = 5 <span class="candy" style="color:green">🍬</span> = 3 <span class="candy" style="color:blue">🍬</span> = 2 What's the chance of picking a green candy? 3 out of 10! --- ## Compound Probability If you flip a coin (½) AND roll a die (⅙): Chance of getting heads AND a 6: <div class="fraction"> <span>1</span> <span class="bottom">2</span> </div> × <div class="fraction"> <span>1</span> <span class="bottom">6</span> </div> = <div class="fraction"> <span>1</span> <span class="bottom">12</span> </div> --- class: center, middle # 🎉 Math is Everywhere! 🎈 ## Thanks for learning with me! 🐼