Curriculum Grade 4

Arithmetic

1. Addition and Subtraction of 4 and 5-digit numbers
   • Standard algorithm
   • Mental math strategies:
     adding and subtracting compatible numbers, rounding, adding and subtracting parts
   • Estimation for addition and subtraction
2. Multiplication and Division
   • Multiplying 3-digit numbers by 1- digit-numbers using distributive law for multiplication
   • Dividing 3-digit numbers by 1 and 2-digit divisors using distributive law for division
   • Mental math strategies: finding compatible numbers, rounding, multiplication and division by 5
   • Multiplication and division of round numbers
   • Estimation for multiplication and division
3. Order of operations
4. Fractions
   • Basic concepts: improper fractions and mixed numbers, equivalent fractions and comparing fractions
   • Adding fractions with different denominators
   • Subtracting fractions with different denominators and subtraction with regrouping
   • Introduction to decimals
5. Number Sense
   • Understanding of 5-digit numbers. Value and place value
   • Factors and multiples
   • Divisibility of natural numbers
   • Missing numbers puzzles

Geometry

1. Basic geometric shapes
   • Points, lines, and angles
   • Measuring angles using protractor
   • Triangles
   • Quadrilaterals
   • Solids
   • Area and perimeter of rectangles
   • Volume
2. Development of spatial and geometric thinking
   • Engineering drawing and projections
   • Nets of solids
   • Dissections
   • Paper folding and cutting problems
   • Unicursal tracing

Logic

1. Methods and techniques for solving logic problems
   • Logic grids
   • Venn diagrams
   • Modeling problems on a number line
2. Relations and ordering
3. Nonverbal reasoning: analogies, patterns, grouping and classification of objects
4. More difficult logic problems: pigeonhole principle, fencepost error, jug problems, crossing the river problems

Word problems

1. Multi-step word problems with whole numbers
2. One step and multi-step word problems with fractions
   • Finding part given a whole
   • Finding whole given its part
   • Problems involving addition, subtraction, and comparing of fractions

Pre-algebra

1. Algebraic expressions
   • Translating algebraic expressions
   • Simplifying expressions with variables by combining like terms
2. Balance puzzles (introduction to equations)
3. problems of Number Codes (introduction to systems of equations)
4. Development of algebraic thinking: proportional reasoning, graphs, number patterns

Investigation problems and Math Olympiad

1. Various types of investigation problems
2. Math Kangaroo, Math counts and CML