Join our community of learners for Math Fundamentals Virtual Synchronous and On-Demand Sessions:
Math fundamentals are the essential mathematical concepts and skills that form the building blocks for more advanced topics. They are important for many reasons including:
Foundation for Advanced Math: A strong grasp of fundamentals is crucial for success in more complex subjects like algebra, geometry, and calculus.
Critical Thinking and Logic: They help develop logical reasoning and problem-solving skills that are valuable in all areas of life, not just mathematics.
Practical Life Skills: Math fundamentals are used in everyday situations, such as managing personal finances, cooking, shopping, and understanding data.
Career Opportunities: Many careers in fields like science, technology, engineering, and finance require a solid foundation in mathematics.
Details: Virtual: 6-week sessions/ Meet once a week for 45 min. of online meaningful learning and fun. Ideal for curious learners for ALL ages (yep, mom and dad as well as teachers can join kids too!)
On-Demand: Can be viewed multiple times anytime that works best for you!
Early Number Exploration
These sessions build a foundational understanding of what numbers are, how they can be composed and decomposed (put together and broken apart), and how they relate to the world.
Math Fundamentals 1A:
Early Number Exploration
*adding & subtracting up through 10 with visuals including ten frames, dot images, and more
*exploring the relationship between addition and subtraction
Math Fundamentals 1B:
Early Number Exploration
*adding & subtracting up through 20 with visuals including ten frames, dot images, and more
*exploring the relationship between addition and subtraction
Math Fundamentals 1C:
Early Number Exploration
adding & subtracting up through 30 with visuals including ten frames, dot images, and more
exploring the relationship between addition and subtraction
Addition & Subtraction Exploration
These sessions focus on teaching students about addition and subtraction using multiple strategies and with a focus on conceptual understanding as it is critical for building a robust and adaptable mathematical foundation. This approach moves beyond simple memorization of procedures and helps students develop a deep, flexible understanding of number relationships.
Math Fundamentals 2A:
Addition & Subtraction Exploration
*adding & subtracting up through 50 with visuals including ten frames, hundred chart, base 10 block visuals, and using multiple strategies
*exploring the relationship between addition and subtraction
Math Fundamentals 2B:
Addition & Subtraction Exploration
*adding & subtracting up through 100 with visuals including ten frames, hundred chart, base 10 block visuals, and using multiple strategies
*exploring the relationship between addition and subtraction
Math Fundamentals 2C:
Addition & Subtraction Exploration
*adding & subtracting up through 1,000 with visuals including ten frames, hundred chart, base 10 block visuals, and using multiple strategies
*exploring the relationship between addition and subtraction
Multiplication Exploration
In these sessions, students explore multiplication with a strong conceptual understanding as it is vital for students to become flexible and confident mathematical thinkers. This approach emphasizes that multiplication is not just about memorizing facts or following a procedure but about understanding the underlying meaning of the operation.
Math Fundamentals 3A:
Multiplication Exploration
*understanding the concept of multiplication
*multiplying up through 5 x 5 with visuals including arrays, area model, and using multiple strategies and the properties of operations
Math Fundamentals 3B:
Multiplication Exploration
*understanding the concept of multiplication
*multiplying up through 7 x 7 with visuals including arrays, area model, and using multiple strategies and the properties of operations
Math Fundamentals 3C:
Multiplication Exploration
*understanding the concept of multiplication
*multiplying up through 9 x 9 with visuals including arrays, area model, and using multiple strategies and the properties of operations
Math Fundamentals 3D:
Multiplication Exploration
*understanding the concept of multiplication
*multiplying up through 12 x 12 with visuals including arrays, area model, and using multiple strategies and the properties of operations
Multiplication Extension
In these sessions, students build on their core understanding of the operation of multiplication and extend their knowledge beyond multiplying a 1-digit number by a 1-digit number.
Math Fundamentals 3E:
Multiplication Extension
*building on the understanding of multiplication
*multiplying 2-digit by 1-digit with visuals including arrays, area model, and more
*exposure to multiple strategies including the properties of operations
Math Fundamentals 3F:
Multiplication Extension
*building on the understanding of multiplication
*multiplying 2-digit by 2-digit with visuals including arrays, area model, and more
*exposure to multiple strategies including the properties of operations
Math Fundamentals 3G:
Multiplication Extension
*building on the understanding of multiplication
*multiplying 3-digit by 2-digit with visuals including arrays, area model, and more
*exposure to multiple strategies including the properties of operations
Math Fundamentals 3H:
Multiplication Extension
*building on the understanding of multiplication
*multiplying 3-digit by 3-digit with visuals including arrays, area model, and more
*exposure to multiple strategies including the properties of operations
Division Exploration & Extension
In these sessions, students will explore the operation of division using a conceptual approach:
Partitive Division (Fair Sharing): This is when a total amount is divided into a specific number of equal parts. For example, if you have 12 cookies and want to share them equally among 3 friends, you are solving 12÷3 to find out how many cookies each friend gets.
Quotitive Division (Grouping): This is when a total amount is divided into groups of a specific size. For example, if you have 12 cookies and want to put them into bags of 3, you are solving 12÷3 to find out how many bags you can fill.
The Inverse of Multiplication: Students with a conceptual understanding see the close relationship between division and multiplication. They know that if 3×4=12, then 12÷4=3 and 12÷3=4. This understanding of “fact families” is a powerful tool for solving problems and checking their work.
Math Fundamentals 4A:
Division Exploration
*understanding the concept of division (grouping and sharing models)
*dividing through 25 ÷ 5 with visuals including arrays, area model, and using multiple strategies
*exploring the relationship between multiplication and division
Math Fundamentals 4B:
Division Exploration
*understanding the concept of division (grouping and fair sharing models)
*dividing through 49 ÷ 7 with visuals including arrays, area model, and using multiple strategies
*exploring the relationship between multiplication and division
Math Fundamentals 4C:
Division Exploration
*understanding the concept of division (grouping and sharing models)
*dividing through 81 ÷ 9 with visuals including arrays, area model, and using multiple strategies
*exploring the relationship between multiplication and division
Math Fundamentals 4D:
Division Exploration
*understanding the concept of division (grouping and sharing models)
*dividing through 100 ÷ 10 with visuals including arrays, area model, and using multiple strategies
*exploring the relationship between multiplication and division
Math Fundamentals 4E:
Division Extension
*building on the understanding of division
*dividing through 4-digit ÷ 2-digit with visuals including arrays, area model, and using multiple strategies
*exploring the relationship between multiplication and division
Fraction Exploration
During these sessions, students learn with a conceptual understanding of fractions which recognizes that a fraction is more than just two numbers separated by a line. They understand fractions as:
Relationship and Ratio: Fractions can represent a relationship between two quantities.
Parts of a Whole: A fraction like 1/4 represents one out of four equal parts of a whole object or set.
Division: A fraction can be understood as a division problem. For example, 3/4 means 3÷4. This is a crucial link to a previous operation.
Points on a Number Line: Students can place fractions accurately on a number line, which helps them compare the value of different fractions and see their relationship to whole numbers.
Math Fundamentals 5A:
Fraction Exploration
*understanding that fractions represent a number value
*exploring unit fractions, equivalent fractions, and fraction comparison
*exploring multiple fraction models including number line, area model, and set model
*exploring multiple tools including pattern blocks, fraction strips, and number lines
Math Fundamentals 5B:
Fraction Exploration
*understanding that fractions represent a number value
*exploring factions with common denominators using multiple fraction models including number line, area model and set model
*exploring multiple tools including pattern blocks, fraction strips, and number lines
Math Fundamentals 5C:
Fraction Exploration
*understanding that fractions represent a number value
*exploring factions with unlike denominators using multiple fraction models including number line, area model and set model
*exploring multiple tools including pattern blocks, fraction strips, and number lines
Geometry Exploration, Extension & Explosion
During these sessions, students will learn geometry conceptually means students understand:
The Connection Between Concepts: They see how different areas of geometry are interconnected, such as how the properties of triangles relate to the area of a trapezoid or how geometry connects to algebra through the coordinate plane.
Properties and Relationships: Students comprehend the attributes that define shapes (e.g., parallel lines, perpendicular angles, symmetry) and the relationships between them. For instance, they understand why a square is always a rhombus but a rhombus is not always a square.
Spatial Reasoning: They develop the ability to visualize and manipulate objects in their mind. This includes understanding perspective, scale, and how objects relate to each other in a three-dimensional space.
Geometric Transformations: Students learn about how shapes can be moved and transformed (translated, rotated, reflected) without changing their fundamental properties. This is a foundational concept in art, design, and computer graphics.
Math Fundamentals 6A:
Geometry Exploration
*exploring two-dimensional and three-dimensional shapes
*combining and dividing shapes
*recognizing categories & sub-categories of shapes (polygons, quadrilaterals, etc.)
*recognizing vertices, edges, and sides
Math Fundamentals 6B:
Geometry Extension
*exploring parallel, perpendicular, and intersecting lines
*recognizing lines, rays, line segments, points, and symmetry
*working with equilateral, isosceles, and right triangles as well as obtuse angles, and straight angles
Math Fundamentals 6C:
Geometry Explosion
*exploring the coordinate graphing system with the coordinate grid and points
