Math 4
Course Overview
Math 4 is for advanced 4th graders ages 9–11 who are ready to stop following steps and start understanding why they work.
Math 4 asks why, every session. Students explore the structure of multiplication, the logic of divisibility, and the patterns that turn arithmetic into number theory.
Math 4 builds fraction understanding the right way: models and meaning before algorithms. Students who have been memorizing rules often have a breakthrough here.
Geometry in Math 4 goes beyond shapes — students measure, classify, and reason about angles, symmetry, and coordinate planes, building the spatial intuition 5th and 6th grade demands.
The problem-solving strategies introduced here — working backwards, casework, invariants — are the foundation of AMC 8, MATHCOUNTS, and competition math at every level beyond.
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8 spots. Intentionally small. Your child’s reasoning skills don’t develop on their own.
Detailed Curricululm
Students are introduced to properties of two-dimensional shapes, symmetry, logic, and probability. Students master multiplication and division with multi-digit numbers. The last topic is the mid-year exam.
Properties of triangles and quadrilaterals. Classifying polygons. Angles as a property of shapes. Congruence and similarity intro. (4.G.A.1, 4.G.A.2, 3.G.A.1)
Multi-digit multiplication with deep understanding. The distributive property as the engine behind every algorithm. Estimation strategies. Multi-step word problems using visual bar models. (4.NBT.B.5, 4.OA.A.1, 4.OA.A.2, 4.OA.A.3)
Understanding powers and exponents. Perfect squares. Exponent notation and evaluation. Applying exponents to place value and powers of 10. Introduction to scientific notation. (4.NBT.A.1, 6.EE.A.1)
Perimeter of polygons. Area of rectangles using multiplication. Area of complex shapes by decomposing into rectangles. Missing side lengths. Same perimeter/different area problems. (4.MD.A.3, 3.MD.C.7, 3.MD.D.8)
Multi-digit division with understanding. Interpreting remainders in context. Division as the inverse of multiplication. Divisibility rules and why they work. Long division strategies. (4.NBT.B.6, 4.OA.A.2, 4.OA.A.3, 4.OA.B.4)
Logical reasoning and deduction. Venn diagrams and set relationships. If-then reasoning. Logic puzzles. Applying logical structure to multi-step math problems. (MP.2, MP.3, MP.6)
Probability as a measure of likelihood. Simple probability experiments. Equally likely outcomes. Theoretical vs. experimental probability. Using fractions to express probability. (7.SP.C.5, 7.SP.C.6)
Lines of symmetry in 2D shapes. Reflective and rotational symmetry. Creating and completing symmetric figures. Symmetry in regular polygons. (4.G.A.3)
A timed, written assessment covering all Session 1 topics. Students solve multi-step problems that require applying not just recalling what they’ve learned. Results help identify strengths and areas to focus on in Session 2.
Students continue building on foundational skills. Introduced to decimals and negative integers, learn how to add and multiply fractions, and expand their understanding of number properties. The last topic is the final exam.
Factor pairs and all factors of a number. Prime and composite numbers. Prime factorization. GCF and LCM using prime factorization. Divisibility reasoning and number theory puzzles. (4.OA.B.4, 6.NS.B.4)
Adding and subtracting fractions with unlike denominators. Multiplying fractions by whole numbers. Mixed number operations. Multi-step fraction word problems using bar models. (4.NF.A.1, 4.NF.A.2, 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3d, 4.NF.B.4)
Reading, writing, and comparing decimals. Adding and subtracting decimals. Connecting decimals to fractions. Rounding decimals. Place value to thousandths. (5.NBT.A.1, 5.NBT.A.3, 5.NBT.B.7, 4.NF.C.6, 4.NF.C.7)
Positive and negative integers. Absolute value. Ordering integers on a number line. Adding and subtracting negative numbers. Real-world contexts for negative numbers. (6.NS.C.5, 6.NS.C.6, 6.NS.C.7, 7.NS.A.1)
Measuring and classifying angles (acute, obtuse, right, straight). Using a protractor. Angle addition and unknown angles. Parallel and perpendicular lines. Angles in triangles and polygons. (4.MD.C.5a, 4.MD.C.5b, 4.MD.C.6, 4.MD.C.7, 4.G.A.1)
Understanding base-2 number systems. Converting between binary and decimal. Adding binary numbers. Why computers use binary. Connections to place value and powers of 2. (4.NBT.A.1, MP.7)
Understanding ratios. Equivalent ratios. Unit rate. Proportional relationships. Applying ratio reasoning to word problems and real-world contexts. (6.RP.A.1, 6.RP.A.2, 6.RP.A.3)
Three- and four-step problems drawing on the full year’s content. Problem-solving strategies: working backwards, casework, pattern recognition. Bar model at full power. Challenging Beast Academy capstone puzzles. (4.OA.A.3, 4.OA.C.5, MP.1, MP.7)
A timed, written assessment covering the full year. Students demonstrate mastery across all topics through multi-step problems and reasoning challenges. A strong finish here signals readiness for the next level.
Instructor
Course Format
| Schedule | 50 minutes twice per week |
|---|---|
| Homework and Exams | 1-2hrs |
| Available Day/Time | Mondays & Wednesdays (5:10 – 6PM EST) |
| Tuition | $800/18weeks |