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Curriculum

Every unit published on the Math Mental path, in the order learners see them.

Math Mental has 24 published units and 356 lessons covering arithmetic and mental math, fractions, decimals and finance, elementary algebra, functions and polynomials, and statistics.

Section 1 Arithmetic and mental math

  1. Addition

    Complements, doubles, making 10 and compensation up to the hundreds

    15 lessons

  2. Subtraction

    Counting back, borrowing, close differences and compensation

    13 lessons

  3. Multiplication

    Grouped times tables, tens, times 11 and double and halve

    10 lessons

  4. Division

    Times tables in reverse, dividing by 5 and 25 and the four operations

    10 lessons

  5. Numerical expressions

    Order of operations, parentheses, integers and powers

    11 lessons

  6. Multiples, divisors and primes

    Divisibility rules, factorization, GCD and LCM

    15 lessons

  7. Powers and roots

    Properties of powers, scientific notation and radicals

    16 lessons

Section 2 Fractions, decimals and finance

  1. Fractions

    From equivalence to operations with the LCM

    17 lessons

  2. Decimal operations

    Comparing, computing with the point in the right place, repeating decimals and money problems

    23 lessons

  3. Decimals and percentages

    Place value, decimal operations, percentages, increases and discounts

    19 lessons

  4. Units of measurement

    Length, mass, capacity, area, volume, time and scientific notation

    13 lessons

  5. Ratio, proportion and the rule of three

    Ratios, proportions, proportional quantities, the rule of three, scales and average speed

    19 lessons

  6. Simple and compound interest

    Interest, future value, rate and term; successive increases and discounts; compounding

    15 lessons

  7. Inflation and loans

    Equivalent rates, present value, real rate and constant amortization and annuity (Price) loans

    15 lessons

Section 3 Elementary algebra

  1. Linear equations

    Parentheses, fractions, word problems, inequalities and literal equations

    14 lessons

  2. Systems of linear equations

    Substitution, elimination, word problems and classifying systems

    11 lessons

  3. Quadratic equations

    Incomplete forms, factoring, discriminant, quadratic formula, and sum and product

    14 lessons

Section 4 Functions and polynomials

  1. Special products and factoring

    Squares, cubes, common factor, grouping and trinomials

    13 lessons

  2. Functions

    Values, domain, range, zeros, composition and inverse

    14 lessons

  3. Linear functions

    Values, coefficients, rule, zero, sign and word problems

    14 lessons

  4. Quadratic functions

    Roots, vertex, concavity, forms, sign and optimization

    14 lessons

  5. Exponential functions

    Powers, values, growth, equations and exponential models

    14 lessons

  6. Logarithms

    Definition, properties, change of base, equations and logarithmic scales

    15 lessons

Section 5 Statistics

  1. Descriptive statistics

    Mean, median, mode, range, variance, standard deviation and frequency tables

    22 lessons