11 Days Math Challenge : Master Basics of Mathematics

Explore factors as exact divisors by dividing numbers like six by 1, 2, 3, and 6, noting zero remainders and listing all factors.

Explore multiples and factors, showing how numbers like 12 relate to 3 and 4, and why every number is a multiple of itself while factors are finite.

Master prime factorization by expressing numbers as products of prime factors, and learn methods to find the highest common factor and the lowest common multiple.

Explore how to find the lowest common multiple using 12 and 18, demonstrating that 36 is the lcm through common multiples, removing common factors, and prime factorization.

Explore negative numbers as part of the integers, alongside zero and positive numbers, and learn how a minus sign denotes value to be received or owed.

Learn two rules for adding and subtracting integers, including zero, like how adding a negative equals subtracting a positive and how subtracting a negative equals adding a positive, with examples.

Explore properties of multiplication and division of integers, showing closure, commutativity, and associativity for multiplication, while division is not closed or commutative or associative; contrast with addition and subtraction.

Explore properties of multiplication, including zero, the multiplicative identity, and the distributive law over addition and subtraction with integers.

Explore decimals from place value and expanded form to representing decimal numbers on the number line, including one and two decimal places and the magnification method.

Master fractions and decimals through reviewing types—proper, improper, mixed—and learn to add, subtract, compare, convert, and multiply fractions, including operations with decimals.

Master fractions and decimals by practicing addition, subtraction, multiplication, and division, including proper, improper, and mixed forms, decimal alignment, and the movement of decimal points with powers of ten.

Explore the laws of exponents, from base and exponent basics to negative powers and inverses, learning to simplify products and quotients and convert numbers to decimal and standard forms.

Explore squares and square roots, focusing on perfect squares and diagonal in multiplication table. Learn unit-digit patterns, zeros doubling on squaring, and that consecutive triangular numbers sum to a square.

Master squares and square roots, exploring even/odd patterns and sums of consecutive numbers, and learn methods like prime factorization and repeated subtraction to compute roots and form perfect squares.

Learn squares and square roots through unit-digit patterns, fast squaring tricks, prime factorization, sums of natural numbers, consecutive natural numbers representations, and the division method for extracting square roots.