Drills · Number
Fraction equivalence sprint
Build fluency with equivalent fractions.
3/4 = ?/20
Answer key: 15
Math Studio
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Resources · mathematics
Math Studio
A home for drills, digital manipulables, and flashcards — with student assignments and lesson coverage captured alongside the resource.
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Harvey · math record
Progress is stored by student, so changing the student changes the coverage and mastery record.
Manipulables · Number
Ten-frame builder
Compose and decompose numbers to 20 with a visual ten-frame.
Interactive workspace
Drills · Number
Column addition
Multi-digit column addition with regrouping (carrying).
Drills · Number
Column subtraction
Multi-digit column subtraction with borrowing (decomposition).
Drills · Number
Long division
Divide, multiply, subtract, bring down — the standard long-division algorithm.
Drills · Number
Equivalent fractions
See why 1/2 = 2/4 = 4/8 with a visual strip slicer; simplify to lowest terms.
Drills · Number
Partial products grid
Multiply two-digit numbers by place value with a 2×2 area model.
Drills · Number
Partial quotients
Divide by subtracting friendly chunks, tracking a running balance.
Drills · Number
Fraction multiplication
See a fraction of a fraction with an overlapping area grid (2/3 × 3/4 = 6/12).
Drills · Number
Fraction division
Divide fractions with Keep-Change-Flip and visual fitting (3/4 ÷ 1/8 = 6).
Drills · Number
Double-digit multiplication
Standard 12-step vertical algorithm with carrying and a tens placeholder.
Drills · Algebra
Linear equations
Solve 1- and 2-step linear equations on a tilting balance scale.
Drills · Algebra
Graphing linear equations
Plot y = mx + b with the slope triangle on a Cartesian plane.
Drills · Algebra
Systems of equations
Solve two-line systems by graphing or elimination.
Drills · Algebra
Binomial expansion
FOIL and area-grid expansion of (x + a)(x + b).
Drills · Algebra
Factoring quadratics
X-box / diamond method to factor x² + bx + c.
Drills · Algebra
Completing the square
Rewrite quadratics in vertex form with tile geometry.
Drills · Algebra
Synthetic division
Tabular synthetic division of a cubic by a linear binomial.
Drills · Geometry
Pythagorean theorem
Squares-on-sides proof and a² + b² = c² with right-triangle triples.
Drills · Algebra
Matrix multiplication
2×2 matrix products with a dual-axis dot-product scanner.
Drills · Trigonometry
Unit circle
Exact sine/cosine for special angles and the wave unroller.
Drills · Calculus
Secant to tangent
Limit definition of the derivative — secant slopes converge to the tangent.
Drills · Calculus
Riemann Sums
Approximate the definite integral ∫₀¹ x² dx with N rectangles on a Cartesian plane. The Left, Right, Midpoint, and Trapezoidal rules sample the curve's height at each rectangle, draw the rectangles under the parabola, sum the exact-fraction areas, and compare the running sum with the true value 1/3.
Flashcards · Number
Integer operations
Quick retrieval practice for signed-number rules.
−7 + 12
Answer key: 5
Drills · Proportional reasoning
Ratio table lab
Scale ratios up and down using a table.
3:5 = 18:?
Answer key: 30