Interactive Learning Tools

Build multiplication fluency with randomized questions and immediate answer feedback.

• Random multiplication questions
• Immediate feedback
• Progress and accuracy tracking

Build division fact fluency with randomized whole-number division problems.

• Whole-number division
• Repeatable randomized practice
• Progress and streak tracking

Practice adding positive and negative integers with immediate feedback.

• Positive and negative integers
• Randomized problems
• Immediate answer feedback

Improve accuracy when subtracting positive and negative integers.

• Mixed integer subtraction
• Randomized problem sets
• Accuracy tracking

Use an interactive number line to visualize adding and subtracting integers.

• Visual integer movement
• Addition and subtraction
• Guided number-line reasoning

Solve long division problems through a guided, step-by-step process.

• Step-by-step long division
• Problems with and without remainders
• Immediate feedback and guidance

Simplify order-of-operations expressions one step at a time.

• Multiple difficulty levels
• One-operation-at-a-time validation
• Hints and progress tracking

Identify decimal digit positions, values, expanded form, and fraction equivalents.

• Tenths, hundredths, and thousandths
• Expanded form
• Decimal-to-fraction connections

Align decimal points, use placeholder zeros, regroup, and solve decimal addition and subtraction.

• Fixed place-value columns
• Carrying and borrowing scratch work
• Immediate answer feedback

Multiply decimals while tracking place value and correctly placing the decimal in the product.

• Guided multiplication workflow
• Decimal-place reasoning
• Immediate feedback

Practice identifying the rounding digit and deciding whether to round up or keep the digit unchanged.

• Multiple decimal places
• Guided rounding decisions
• Immediate explanations

Compare decimal values and arrange several decimals from least to greatest or greatest to least.

• Compare using <, >, and =
• Order multiple decimals
• Place-value guidance

Convert between fractions and decimals while connecting equivalent numerical representations.

• Fractions to decimals
• Decimals to fractions
• Guided conversion steps

Learn how equivalent fractions are created by multiplying or dividing the numerator and denominator by the same number.

• Find missing numerators and denominators
• Build equivalent fractions step by step
• Immediate feedback and hints

Reduce fractions to simplest form using common factors and the greatest common factor.

• Guided GCF step
• Divide numerator and denominator
• Simplest-form confirmation

Compare two fractions using common denominators, benchmark fractions, and visual reasoning.

• Compare using <, >, and =
• Equivalent-fraction reasoning
• Step-by-step explanations

Arrange several fractions from least to greatest or greatest to least.

• Order multiple fractions
• Least-to-greatest and greatest-to-least practice
• Hints and explanations

Locate proper and improper fractions on a number line using equal intervals.

• Proper and improper fractions
• Interactive number-line tick marks
• Guided interpretation

Convert between mixed numbers and improper fractions while connecting whole-number and fractional parts.

• Convert in both directions
• Guided step-by-step practice
• Immediate answer feedback

Convert between fractions and decimals and connect equivalent numerical representations.

• Fractions to decimals
• Decimals to fractions
• Guided conversion steps

Add and subtract fractions by finding common denominators and simplifying the result.

• Same and different denominators
• Equivalent-fraction steps
• Immediate feedback and scoring

Multiply and divide fractions through a guided step-by-step process.

• Multiplication and division
• Reciprocal reasoning
• Automatic simplification feedback

Break composite numbers into prime factors using factor trees and repeated division.

• Interactive factor trees
• Prime factors in exponent form
• Hints and immediate feedback

Determine whether numbers divide evenly by using digit patterns instead of long division.

• Common divisibility rules
• Randomized whole numbers
• Rule explanations and feedback

Find the greatest factor shared by two or more whole numbers.

• Factor-list and prime-factor methods
• Multiple difficulty levels
• Worked explanations

Find the smallest positive multiple shared by two or more whole numbers.

• Multiple-list and prime-factor methods
• Randomized practice
• Hints and worked solutions

Decide whether real-world situations require the greatest common factor or least common multiple.

• Choose between GCF and LCM
• Real-world situations
• Immediate explanations

Write and simplify ratios, calculate unit rates, and compare real-world quantities.

• Ratio practice
• Unit-rate calculations
• Real-world comparisons

Solve proportions using equivalent ratios and cross multiplication.

• Missing-value proportions
• Cross-multiplication workflow
• Step-by-step feedback

Find the part, whole, or percent and solve percent-based real-world problems.

• Part, whole, and percent practice
• Percent increase and decrease problems
• Hints and worked explanations

Practice evaluating powers, understanding exponents, and simplifying square roots.

• Exponent notation
• Powers and repeated multiplication
• Square-root practice

Convert between standard form and scientific notation while reasoning about powers of ten.

• Standard to scientific notation
• Scientific notation to standard form
• Guided decimal movement

Understand absolute value as distance from zero and practice evaluating absolute-value expressions.

• Distance-from-zero reasoning
• Positive and negative values
• Immediate feedback

Substitute values for variables and evaluate algebraic expressions using the correct order of operations.

• Variable substitution
• Order-of-operations practice
• Step-by-step feedback

Identify terms with matching variable parts and combine their coefficients correctly.

• Identify like terms
• Combine coefficients
• Simplify algebraic expressions

Practice distributing multiplication across terms inside parentheses.

• Positive and negative coefficients
• Step-by-step distribution
• Expression simplification

Solve equations using one inverse operation to isolate the variable.

• Addition and subtraction equations
• Multiplication and division equations
• Guided inverse operations

Solve equations requiring two inverse operations while keeping both sides balanced.

• Two-step equation solving
• Inverse-operation reasoning
• Immediate feedback

Solve equations involving multiple algebraic steps, including simplifying expressions before isolating the variable.

• Multiple solving steps
• Combining like terms
• Guided equation workflow

Solve algebraic inequalities and apply the sign-flip rule when multiplying or dividing by negative numbers.

• One-, two-, and multi-step inequalities
• Negative-number sign reversal
• Guided solving practice

Connect inequality notation, interval notation, and graphical representations on a number line.

• Convert between notation forms
• Open and closed endpoints
• Interactive number-line reasoning

Solve systems of two linear equations using guided algebraic methods.

• Substitution practice
• Elimination practice
• Step-by-step equation solving

Calculate and interpret slope from graphs, points, tables, and linear relationships.

• Rise-over-run reasoning
• Slope from two points
• Positive, negative, zero, and undefined slope

Work with equations in y = mx + b form and identify slope and y-intercept.

• Identify m and b
• Build equations from information
• Connect equations to graphs

Write linear equations from a known point and slope using point-slope form.

• Use a point and slope
• Substitute into point-slope form
• Convert between linear forms

Practice working with linear equations written in standard form and converting between equivalent forms.

• Ax + By = C structure
• Convert between linear forms
• Interpret intercepts and coefficients

Compare slopes and determine whether lines are parallel, perpendicular, or neither.

• Compare line slopes
• Negative reciprocal reasoning
• Write related line equations

Plot and identify ordered pairs while building understanding of quadrants and coordinate locations.

• Plot ordered pairs
• Identify quadrants
• Read coordinates from graphs

Find the distance between two points using coordinate differences, squares, radicals, and the distance formula.

• Label coordinate pairs
• Substitute into the formula
• Simplify exact radical answers

Analyze numerical data sets by finding the mean, median, mode, and range.

• Calculate mean and median
• Identify the mode
• Find the range of a data set

Convert between units by selecting conversion factors, canceling units, and completing dimensional-analysis calculations.

• Step-by-step unit conversions
• Conversion-factor reasoning
• Unit cancellation and dimensional analysis

Practice balancing chemical equations by adjusting coefficients while preserving each chemical formula.

• Interactive coefficient controls
• Atom-count feedback
• Multiple difficulty levels

Practice identifying which chemistry equation or formula should be used for different types of chemistry problems.

• Match problem types with the correct equation
• Recognize common chemistry formulas
• Build equation-selection skills before solving

Practice common chess opening sequences and build familiarity with early-game positions.

• Interactive chessboard
• Opening-sequence practice
• Immediate move feedback

Solve tactical chess positions and strengthen calculation and pattern recognition.

• Tactical chess positions
• Interactive move entry
• Immediate solution feedback

Practice comparing and ranking angles from smallest to largest.

• Randomized angle sets
• Visual angle comparison
• Immediate answer feedback

Analyze three-dimensional cube structures and determine how many faces are painted.

• 3D cube structures
• Painted-face counting
• DAT-style visual reasoning

Practice mentally unfolding paper to determine the final locations of punched holes.

• Paper-folding sequences
• Visual-spatial reasoning
• Interactive answer selection