Expanding Critical Thinking in Math (Ages 10–12)
Course Overview
Detailed Curricululm
- Weeks 1–3
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- Place Value & Powers of 10 – Whole numbers & decimals to the millionths; multiplying/dividing by 10, 100, 1,000.
- Multi-Digit Multiplication – 3-digit × 2-digit, area model + standard algorithm.
- Division with Larger Numbers – Long division (up to 4-digit ÷ 2-digit).
- Weeks 4–6
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- Order of Operations (PEMDAS) – Including parentheses & multi-step problems.
- Factors, Multiples, Prime Numbers – GCF, LCM applications.
- Intro to Fractions Review – Equivalent, comparing.
- Weeks 7–9
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- Multi-Step Word Problems – Multi-digit operations with reasoning.
- Decimals – Multiply/divide by powers of 10.
- Decimals – Multiply/divide by whole numbers.
- Weeks 10–12
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- Decimals – Multiply/divide by decimals (tenths, hundredths).
- Fractions – Add/subtract with unlike denominators, focus on efficiency.
- Fractions – Simplify & convert mixed ↔ improper.
- Weeks 13–15
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- Fractions – Multiply fractions & mixed numbers.
- Fractions – Divide fractions & mixed numbers.
- Decimals – Add/subtract & solve word problems.
- Weeks 16–18
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- Fractions & Decimals Word Problems – Real-world contexts.
- Multi-Step Word Problems – Mixed operations.
- Mid-Year Exam – Operations, Fractions, Decimals.
- Weeks 19–21
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- Operations with Fractions (Add/Subtract) – Unlike denominators, simplify answers.
- Operations with Decimals (Add/Subtract) – Word problems with money & measurement.
- Line Plots with Fractions/Decimals – Graph and solve “how many more/less.”
- Weeks 22–24
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- Multiply Fractions × Fractions – Area models, real-world contexts.
- Multiply Fractions × Decimals/Whole Numbers.
- Divide Fractions ÷ Fractions – Conceptual understanding.
- Weeks 25–27
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- Volume & Surface Area (Intro) – Cubes, rectangular prisms.
- Perimeter & Area of Polygons – Including irregular shapes.
- Coordinate Plane (1st Quadrant) – Plotting, interpreting word problems.
- Weeks 28–30
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- Geometry: Angles – Classify and measure with protractors.
- Geometry: Triangles & Quadrilaterals – Properties, classifications.
- Symmetry & Transformations – Reflections, rotations, translations.
- Weeks 31–33
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- Graphing on Coordinate Plane – Identify patterns in ordered pairs.
- Patterns & Sequences (Functions).
- Intro to Ratios & Proportions.
- Weeks 34–36
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- Intro to Algebraic Thinking – Write & evaluate simple expressions.
- Word Problems Across Domains – Fractions, decimals, volume, geometry.
- End-of-Year Exam – Comprehensive with enrichment.
Instructor
