🌱 Math Philosophy & Approach
- Family-Style Learning: Whole-group concept introduction + individual practice at leveled skill.
- Hands-On First: Always use manipulatives before worksheets.
- Spiral with Mastery: Cycle back to concepts regularly while aiming for deep understanding.
- Real-Life Math: Cooking, measuring, budgeting, building, mapping—use math every day.
- Game-Based Review: Weekly math games keep facts and strategies sharp without boring drills.
🧮 Math Skills Progression by Concept
Concepts(All ages):
- Counting & Place Value
- Addition/Subtraction
- Multiplication/Division
- Fractions & Decimals
- Geometry
- Measurement & Data
- Algebraic Thinking
- Problem Solving
Early Years (PreK–K)
- Count to 100, base-10 blocks
- Facts to 10, manipulatives
- Grouping, skip counting
- Halves, quarters
- Basic shapes
- Compare length, weight
- Patterns, simple sequences
- Visual problems
Lower Elementary (1–3)
- Thousands, expanded form
- Multi-digit, regrouping
- Facts to 12×12
- Basic fractions, decimals
- Area, perimeter
- Measure with standard units
- Input/output, equality
- Word problems
Upper Elementary (4–6)
- Millions, decimals
- Decimals, fractions
- Long multiplication, division
- Equivalent, operations
- Volume, angles
- Graphs, mean/median/mode
- Simple equations
- Multi-step problems
Middle (7–9)
- Scientific notation
- Integers, negative numbers
- Fractions, ratios, rates
- Ratios, proportions, percents
- Coordinate plane, transformations
- Probability, advanced graphs
- Multi-step equations
- Algebra-based problems
High School (10–12)
- Abstract application
- Algebraic expressions
- Polynomials, rational expressions
- Complex fractions, mixed operations
- Trigonometry, proofs
- Statistics, real-world data sets
- Advanced algebra, functions
- Abstract modeling
📅 Weekly Math Rhythm
Day 1
- Whole-family concept intro (story, demonstration, hands-on)
- Individual skill practice at leveled ability
Day 2
- Hands-on problem solving or real-life application (cooking, building, mapping, measuring)
Day 3
- Family math game focused on current skill
- Individual review or fact practice
Day 4
- Math notebook: Write/illustrate concept learned, do one word problem, reflect on real-life connection
Free Online Tools:
- NRICH Maths (Problem Solving)
- Math Learning Center Apps (Manipulatives)
- Khan Academy (Use for skill videos or practice sets)
- Open Middle Problems (Challenging, creative problem-solving)
