School in a Book: Essential Skills: Math, Science and History

green calculator on yellow background
Photo by Karolina Grabowska on

Arithmetic Skills

  • Counting by twos, fives, tens, twelves, fifteens and twenties
  • Adding and subtracting numbers up to 1000 without using a calculator or writing instruments
  • Rounding numbers to the nearest ones, fives, tens, hundreds and thousands
  • Solving basic story problems
  • Using a calculator
  • Using a ruler and drawing compass
  • Calculating map distances
  • Converting units of measurement
  • Memorizing the 0-12 multiplication table
  • Adding, subtracting, multiplying and dividing fractions
  • Adding, subtracting, multiplying and dividing decimals
  • Adding, subtracting, multiplying and dividing negative numbers

Algebra Skills

  • Using algebraic symbols
  • Solving simple equations with variables
  • Calculating exponential growth
  • Finding prime numbers and square roots
  • Solving inequalities
  • Understanding sequences
  • Using absolute value
  • Working with polynomials
  • Working with factorization
  • Working with quadratic equations
  • Working with rational and irrational numbers
  • Working with radicals
  • Comparing functions

Geometry Skills

  • Measuring angles
  • Calculating area
  • Calculating surface area
  • Calculating diameter
  • Calculating square footage
  • Calculating perimeter
  • Calculating volume
  • Calculating scale
  • Calculating arc length
  • Calculating area of circles
  • Graphing lines and slopes
  • Working with coordinate planes
  • Proving simple geometric theorems
  • Making geometric constructions based on a given set of numbers
  • Working with the Pythagorean theorem
  • Calculating linear equations
  • Understanding congruence
  • Understanding similarity

Statistics Skills

  • Finding averages
  • Finding means and medians
  • Converting whole numbers to percentages and vice versa
  • Calculating ratios, rates, percentages and proportions
  • Deciphering information on line graphs, bar graphs, circle graphs and tables
  • Deciphering information on a Vinn diagram
  • Deciphering the reliability of a research study based on statistical information provided

Science and History Skills

  • Reading and following a map
  • Creating a historical timeline
  • Interpreting the Periodic Table of the Elements
  • Draw a simple diagram of an atom
  • Draw simple diagrams of molecules
  • Using a telescope
  • Using a microscope
  • Calculating time zone differences
  • Making and testing a hypothesis and using the scientific method
  • Identifying local plants and animals (daisy, bluebell, iris, crocus, pansy, lilac, rose, marigold, tulip, daffodil, buttercup, lavendar, juniper, oak tree, maple tree, ivy, blueberry bush, apple tree, pear tree, palm tree, raspberry bush, blackberry bush, cedar, pine)
  • Classifying animals into major taxonomic groups (mammals, birds, reptiles, amphibians, fish, arthropods, vertebrates, invertebrates, those having live births and those which lay eggs)