Math 5

Expanding Critical Thinking in Math (Ages 10–12). Math 5 is built around thinking. Over 32 weeks, students work through advanced 5th grade concepts aligned to Common Core and beyond, developing the reasoning skills that make everything else in math easier. This is for students who are ready to be genuinely challenged.

Course Overview

This class is not for every child.

It’s for a specific kind of student. If yours is one of them, you’ll know it when you read this.

Finishes early and waits.

They’re not struggling. They’re bored. Boredom in a capable mind becomes disengagement. This class gives them a problem worth staying for.

Asks “but why does that work?”

Most classrooms don’t have time for that question. Every session here is built around it.

Middle school is coming and you want them ready.

The jump to 6th grade trips up procedural thinkers. This class builds the reasoning skills that make that transition smooth.

Doing well and you want more for them.

Good grades show your child follows instructions. This class develops whether they can think independently. That’s a different skill.

Not sure if your child is ready? Take the free placement test below.

Not sure if your child is ready?

Take the free 20-minute placement test. You’ll see exactly where your child stands, what they’re ready for and what gaps exist.

Take the Placement Test →

Free · No account needed · Honest results

If something on this page resonated
that’s worth paying attention to.

8 spots. Intentionally small. Your child’s reasoning skills don’t develop on their own.

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✓ 2-sessions · ✓ Starts August 25, 2026 · ✓ Max 8 students

Detailed Curricululm

3D Solids & Surface Area

Faces, edges, vertices, nets. Surface area of prisms and pyramids. Volume intro using unit cubes. (5.MD.C.3, 5.MD.C.4, 6.G.A.4)

Integers & The Number System

Positive and negative numbers, absolute value, ordering on a number line. Real-world contexts. (6.NS.C.5, 6.NS.C.7, 7.NS.A.1)

Expressions & Equations

Order of operations, writing and evaluating algebraic expressions, one-step equations, variables as unknowns. (5.OA.A.1, 6.EE.A.2, 6.EE.B.6, 6.EE.B.7)

Statistics & Data Analysis

Mean, median, mode, range. Dot plots, histograms, box plots. Measures of center and spread. Interpreting and questioning data. (6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5)

Factors, Multiples & Number Theory

Prime factorization, GCF, LCM, divisibility rules. Primes vs composites. Distributive property applied to factor pairs. (4.OA.B.4, 6.NS.B.4)

Fractions — Deep Understanding

All four operations with fractions and mixed numbers. Fraction as division. Dividing fractions by fractions. (5.NF.A.1, 5.NF.B.3, 5.NF.B.7, 6.NS.A.1)

Sequences & Patterns

Arithmetic and geometric sequences. Finding the nth term. Recognizing pattern rules. Introduction to function thinking. (5.OA.B.3, 4.OA.C.5)

Geometry — Area & Coordinate Planes

Area of triangles, special quadrilaterals, and composite polygons. Introduction to coordinate geometry. (5.G.B.3, 6.G.A.1, 8.G.B.8)

Volume of 3D Figures

Volume of rectangular prisms and complex 3D objects. Connecting volume formulas to spatial reasoning. (5.MD.C.5, 7.G.B.6)

Review & Assessment

Comprehensive review of Session 1 concepts. Student presentations. Written assessment and portfolio reflection.

Session 2 builds on Session 1 foundations — applying reasoning to ratios, percents, advanced algebra, and real-world problem solving. Week 18 is dedicated review and assessment.

Decimals — Operations & Reasoning

All four operations with decimals to hundredths and beyond. Place value understanding. Connecting decimals to fractions. (5.NBT.A.1, 5.NBT.A.3, 5.NBT.B.7, 6.NS.B.3)

Ratios & Unit Rates

Ratio language and notation. Unit rates. Equivalent ratios. Tape diagrams and double number lines. (6.RP.A.1, 6.RP.A.2, 6.RP.A.3)

Proportional Relationships

Identifying and representing proportional relationships. Solving multi-step ratio problems. Unit rate as slope preview. (7.RP.A.1, 7.RP.A.2)

Percents & Real-World Applications

Percent increase and decrease, discounts, tax, tips, simple interest. Percent error. Connecting percents to ratios and decimals. (7.RP.A.3)

Advanced Expressions & Properties

Equivalent expressions, distributive property, combining like terms. Identifying equivalent forms. (6.EE.A.3, 6.EE.A.4, 7.EE.A.2)

Equations & Inequalities

Solving multi-step equations with rational numbers. Introduction to inequalities. Writing equations from real-world problems. (6.EE.B.5, 7.EE.B.3, 7.NS.A.3)

Square Roots & Exponents

Writing and evaluating powers. Properties of integer exponents. Square roots of perfect squares. Estimating irrational values. Scientific notation intro. (8.EE.A.1, 8.EE.A.2, 8.NS.A.2)

The Pythagorean Theorem

Understanding and applying the Pythagorean Theorem. Finding unknown side lengths. Real-world and coordinate plane applications. (8.G.B.6, 8.G.B.7, 8.G.B.8)

Multi-Step Real-World Problems

Synthesizing all course concepts to solve complex, multi-step problems. Strategy selection, estimation, and solution justification. (7.EE.B.3)