The Mathematics Curriculum in Primary and Lower Secondary Grades

Exhibits 2 and 3 present the topics and skills covered by the end of Grades 4 and 8, respectively, according to the national mathematics curriculum.

Exhibit 2: Mathematics Curriculum Covered by the End of Grade 4

Domain Topic Skills
Number Whole numbers
  • Concepts of whole numbers, including place value and ordering
  • Adding, subtracting, multiplying, and dividing with whole numbers
Fractions and decimals
  • Concepts of fractions and decimals; adding and subtracting with fractions and decimals; solving simple problems related to fractions and decimals
Integers
  • Ordering, adding, subtracting, and computing with integers
Roman numerals
  • Knowing Roman numerals and converting between whole numbers and Roman numerals
Geometry and Measurement Lines
  • Measuring and estimating the length of parallel and perpendicular lines
Measurement
  • Identifying the relationship among units of measurement (i.e., time, length, and weight)
Two- and three-dimensional shapes
  • Identifying the basic properties of common geometric shapes
  • Finding the area, perimeter, and volume of simple shapes

Exhibit 3: Mathematics Curriculum Covered by the End of Grade 8

Domain Topic Skills
Number Whole numbers
  • Understanding place value, factorization, the four arithmetic operations (addition, subtraction, multiplication, and division), computation, estimation, and approximation
Fractions and decimals
  • Using common fractions, including equivalent fractions, ordering fractions and decimals (e.g., by place value), and converting between decimals and common fractions
  • Representing decimals and fractions using words, numbers,
    or models (including number lines)
  • Performing the four arithmetic operations with fractions, decimals, and percentages
Integers
  • Representing, comparing, ordering, and calculating with integers
Ratio, proportion, and percent
  • Understanding equivalence, dividing quantities by a given ratio, and converting between percentages and fractions or decimals
Algebra Patterns
  • Extending numeric, algebraic, or geometric patterns or sequences using words, symbols, or diagrams
  • Finding missing terms and generalizing pattern relationships in a sequence, between adjacent terms in a sequence, or between the number of the term in a sequence and the term itself using words or symbols
Algebraic expressions
  • Finding sums, products, and powers of expressions containing variables
Equations and formulas
  • Solving problems using equations or formulas
Geometry Lines and angles
  • Identifying angles (e.g., acute, right, straight, obtuse, and reflex); knowing and using the properties of angle bisectors and perpendicular bisectors of lines
Two- and three-dimensional shapes
  • Identifying properties of geometric shapes (e.g., triangles, quadrilaterals, and other common polygons), applying geometric properties to solving problems, and calculating the length of lines, or the surface area or volume of shapes and solids (e.g., squares and cubes)
Congruence and similarity
  • Identifying congruent and similar features of shapes
Symmetry and transformations
  • Identifying geometric transformations (i.e., the results of performing translations, rotations, and reflections)
Data Management Data collection and organization
  • Calculating and displaying the mean, median, range, and shape of distributions (in general terms), and determining sample sizes for random experiments