The Math Workshop

Ready to decompose numbers, Subtraction Superheroes? Get Ready to Take Away! Join our fun-filled Math Workshop Session where we'll become subtraction experts! Learn all about "taking apart" and "taking from" with amazing objects, your own fingers, by acting out subtraction stories, and exploring a host of subtraction strategies to use that make sense! Some of the subtraction strategies we will explore: adding up, removing or counting back, place value, keeping a constant distant, and adjusting one number to create an easier problem. We'll solve exciting subtraction word problems and become subtraction stars. Discover how to break down numbers in lots of different ways. Let's build on what we know about addition to make a case for the connection to subtraction. Plus, we'll find those special number partners that make 10 and 100. And guess what? Let's subtract, explore, and become number whizzes together!

Get ready for a geometry adventure in our Math Workshop Session! We’ll explore the exciting world of shapes, lines, and angles, and discover how they build the world around us. We’ll identify and compare different shapes, from quadrilaterals to polygons. We’ll delve into the concepts of area and perimeter, learning how to measure the space inside and around shapes. We’ll build on our knowledge by classifying shapes based on their properties, including parallel and perpendicular lines, and different types of angles. We’ll learn about symmetry and how to identify lines of symmetry. We’ll continue to explore area and perimeter, applying formulas to solve real-world problems. Some of the math tools that we will get our hands on are pattern blocks, plane and solid shapes, and even toothpicks with clay. Get ready for hands-on activities, shape-building challenges, and problem-solving quests that will make you a geometry guru! Let’s explore, create, and conquer the world of shapes together!

6-week session/ 45-minute virtual sessions, that's 4 and 1/2 hours of learning! Sept. 9, 16, 23, 30 (skip Oct. 6) Oct. 14, 21 9:30-10:15am Join our virtual workshops and discover the power of division exploration! This workshop is designed for students to build a solid foundation for understanding division. We will move beyond rote memorization of facts to explore the conceptual underpinnings of division, making it a more intuitive and meaningful operation for learners. I. Understanding the Concept of Division: Grouping and Sharing Models We will begin by establishing the two fundamental models of division: sharing and grouping. Using hands-on manipulatives, we will differentiate between these two concepts. Sharing: A quantity is distributed equally among a known number of groups. For example, "15 cookies are shared equally among 3 friends. How many cookies does each friend get?" Here, the number of groups is known, and we are solving for the size of each group. Grouping: A quantity is grouped into a known size. For example, "You have 15 cookies and want to put 3 cookies in each bag. How many bags can you fill?" Here, the size of each group is known, and we are solving for the number of groups. Understanding this distinction is crucial for problem-solving and selecting appropriate strategies. II. Visualizing Division: The Case of 25 ÷ 5 Next, we will take a deeper dive into the specific problem of 25 ÷ 5, using a variety of visual models to demonstrate the different ways to think about this operation. Arrays: We will arrange 25 objects into a rectangular array. By forming rows of 5, we can see that there are 5 columns, visually representing 25 ÷ 5 = 5. This model beautifully connects to the concept of repeated subtraction. Area Model: We will use a visual area model to show a rectangle with an area of 25 square units. If one side length is 5, we can determine the other side length is also 5. This model builds a strong connection between division and geometry. Multiple Strategies: Beyond arrays and area models, we will explore other strategies such as repeated subtraction on a number line, skip counting, and using manipulatives. This section will highlight that there isn't just one way to solve a division problem. III. The Relationship Between Multiplication and Division Finally, we will explore the inverse relationship between multiplication and division. We will use the models we've built to demonstrate how 25 ÷ 5 = 5 is directly related to 5 × 5 = 25. Understanding this relationship is a powerful tool for solving problems and checking for accuracy. We will introduce the concept of a "fact family" to solidify this understanding, showing how the numbers 5, 5, and 25 are interconnected through both multiplication and division. This workshop will provide students with practical strategies to make the concept of division clear, accessible, and engaging for all learners.

Session 1: Building Strong Number Sense with Math Routines: Fun & Engaging Number Sense Routines: We'll explore exciting math routines that strengthen number sense which builds a strong foundation in mathematics. What is Number Sense? It's our intuitive understanding of numbers – how they relate to each other, what they represent, and how they behave. Good number sense makes all other math easier! We will experience number sense routines sharing our thinking and learning from others. Explore Math Tools & Visual Representations: Math tools are essential for supporting number sense because they provide concrete, visual, and tactile experiences that help students build a deep understanding of abstract numerical concepts.

6-week session/ 45-minute virtual sessions, that's 4 and 1/2 hours of learning! Oct. 28, Nov. 4, 11, 18, 25, Dec. 2 9:30-10:15am Join our virtual workshops and discover the power of division exploration! This workshop is designed for students to build a solid foundation for understanding division. We will move beyond rote memorization of facts to explore the conceptual underpinnings of division, making it a more intuitive and meaningful operation for learners. I. Understanding the Concept of Division: Grouping and Sharing Models We will begin by establishing the two fundamental models of division: sharing and grouping. Using hands-on manipulatives, we will differentiate between these two concepts. Sharing: A quantity is distributed equally among a known number of groups. For example, "49 cookies are shared equally among 7 friends. How many cookies does each friend get?" Here, the number of groups is known, and we are solving for the size of each group. Grouping: A quantity is grouped into a known size. For example, "You have 49 cookies and want to put 7 cookies in each bag. How many bags can you fill?" Here, the size of each group is known, and we are solving for the number of groups. Understanding this distinction is crucial for problem-solving and selecting appropriate strategies. II. Visualizing Division: The Case of 48 ÷ 6 Next, we will take a deeper dive into the specific problem of 48 ÷ 6, using a variety of visual models to demonstrate the different ways to think about this operation. Arrays: We will arrange 48 objects into a rectangular array. By forming rows of 6, we can see that there are 6 columns, visually representing 48 ÷ 6 = 8. This model beautifully connects to the concept of repeated subtraction. Area Model: We will use a visual area model to show a rectangle with an area of 30 square units. If one side length is 3, we can determine the other side length is 10. This model builds a strong connection between division and geometry. Multiple Strategies: Beyond arrays and area models, we will explore other strategies such as repeated subtraction on a number line, skip counting, and using manipulatives. This section will highlight that there isn't just one way to solve a division problem. III. The Relationship Between Multiplication and Division Finally, we will explore the inverse relationship between multiplication and division. We will use the models we've built to demonstrate how 35 ÷ 5 = 7 is directly related to 5 × 7 = 35. Understanding this relationship is a powerful tool for solving problems and checking for accuracy. We will introduce the concept of a "fact family" to solidify this understanding, showing how the numbers 5, 7, and 35 are interconnected through both multiplication and division. This workshop will provide students with practical strategies to make the concept of division clear, accessible, and engaging for all learners.

Uncover the world of chance! This exciting Math Workshop Session is designed for 5th and 6th graders to introduce the fundamental concepts of probability. Through hands-on experiments and interactive activities, we’ll learn how to analyze the likelihood of events in everyday life. We’re also going to throw in some Algebra for fun! What We’ll Explore: What is Probability? We’ll begin by exploring the basic concepts of probability, including defining events, outcomes, and sample spaces. Theoretical vs. Experimental Probability: We’ll use experiments with coins, dice, and spinners to understand the difference between theoretical and experimental probability. Exploring Probability with Games: We’ll use games to explore how probability is used in everyday situations Probability in Real Life: We’ll explore how probability is used in everyday situations, such as weather forecasting, games, and decision-making. We’ll also learn about the concept of chance and how it affects our lives. Pattern Quest: Unveiling Relationships: Algebra is all about patterns! We’ll investigate number patterns, identify relationships, and learn how to represent them with algebraic rules and tables.

Third & Fourth Grade Number Ninjas, Power Up Your Place Value! Get ready for an awesome Math Workshop Session where we’ll become masters of number sense and place value recognizing that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. We’ll explore the amazing world of numbers, understanding what each digit really means, and read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. We’ll compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.! Then, we’ll level up our addition and subtraction skills with whole numbers, discovering cool strategies to solve problems with efficiency and accuracy! Some of the addition strategies we will explore: breaking each number into its place value, making landmark or friendly numbers, doubles/near doubles, making tens, compensation, and adding up in chunks. Some of the subtraction strategies we will explore: adding up, removing or counting back, place value, keeping a constant distant, and adjusting one number to create an easier problem. Get ready for engaging games and activities that will boost your number smarts and make you confident problem solvers!

Wanna be a Fraction Fanatics? Get Ready to Explore Equivalent and Ordering Fractions. Are you ready to become a fraction expert? Join our Math Workshop Session and discover the secret world of equivalent fractions – fractions that look different but are actually the same! We’ll use hands-on and visual models to see how they work. Then, we’ll become fraction comparison champions, learning awesome strategies to compare fractions with different numerators and denominators, even using benchmarks like 1/2. We’ll also build fractions from smaller pieces and add and subtract them like master chefs combining ingredients. Get ready for fun challenges and activities that will make you a fraction superstar! Let’s explore, compare, add, and subtract our way to fraction fluency!

6-week session/ 45-minute virtual sessions, that's 4 and 1/2 hours of learning! Sept. 8, 15, 22, 29 Oct. 6 (skip Oct. 13) Oct 20 9:30-10:15am Join our virtual workshops and discover the power of early number exploration! This workshop is designed to provide students with practical strategies and visual tools for understanding foundational addition and subtraction concepts. The focus will be on developing a deep understanding of numbers and their relationships, rather than just memorizing facts. I. Adding and Subtracting with Visuals: Concrete Representations We will explore addition and subtraction within 10 using engaging and effective visual models. These tools help students move from concrete objects to abstract mathematical thinking. Ten Frames: The ten frame is a foundational tool for building number sense. We will use ten frames to help students visualize numbers and to understand the concept of "making a ten." For example, to solve 7 + 3, we can show 7 dots in the ten frame and see that there are 3 empty spots. Adding 3 more dots fills the frame, visually demonstrating that the sum is 10. Dot Images: We will use dot images (like those found on dice or dominoes) to help students instantly recognize small quantities without counting (subitizing). This skill is crucial for developing fluency with addition and subtraction. For example, by showing a dot image of 5 and a dot image of 3, students can quickly see the total is 8. Other Visuals: We will also explore other simple visuals like finger counting, number lines, and counters to show how different representations can support understanding of the same operation. II. The Relationship Between Addition and Subtraction A core focus of this workshop is the inverse relationship between addition and subtraction. We will use the visual models from the first section to demonstrate how addition and subtraction "undo" each other. Fact Families: We will introduce the concept of a "fact family" to show how three numbers are connected through both addition and subtraction. For example, using the numbers 3, 4, and 7, we can write the following four related equations: 3 + 4 = 7, 4 + 3 = 7, 7 - 3 = 4, and 7 - 4 = 3. Understanding this relationship empowers students to solve problems and check their work. Missing Addends: We will frame subtraction problems as "missing addend" problems. For example, instead of just solving 8 - 3, we can ask, "3 plus what number equals 8?" This encourages students to think about the relationship between the two operations and reinforces the idea of finding a missing part. This workshop will provide students with a solid understanding of foundational number concepts and a toolkit of effective, research-based strategies to help themselves become confident and flexible mathematical thinkers.