Students are expected to know the following concepts. We will review these in the first 2-3 weeks. We will also provide material for students to practice themselves.

Basic Arithmetics: Numbering, place value, grouping, basic addition, and subtraction, Multiplication – times tables, simple division

Basic Number Theory: rearranging products, grouping, comparing, +/- of multi-digit, place value, skip counting, odd & even

Basic Geometry: Triangles, Lines, basic shapes like square, rectangle, quadrilateral, Perimeter and Area of the rectangle and square

Core Concepts: One Part at a Time, The Area Model, The Multiplication Algorithm, The Distributive Property, The 2 × 2 Distributive Property, Multiplication Tables

Enrichment: Word Problems, Maximizing Products, The Units Digit, Ones and Zeros, Multiplication Patterns

Core Concepts: Order of operations, manipulating expressions, PEDMAS Computing powers, Perfect squares

ENRICHMENT​: Order of Operations challenge, multiplying creatures, products of powers, unit digits, binary digits

Core Concepts: Introducing ‘n’, Evaluating Expressions, Simplifying Expressions, Writing Equations, Solving Equations, Two Equations

Enrichment​: Expressions in Geometry, Balance Scales, Tricky Balance Scales, Word Problems, Describing Patterns

Core Concepts​: Long Division, Dividing products & Sums, Special Quotients, Multiples of Ten, Divisibility, Divisibility Rules

Enrichment​: Word problems, Perimeter and Area, clever Computations, Missing Numbers, word problems, Overlapping Circles, Remainder Jump, Mental Division

Core Concepts: Fractions, Unit Fractions, Whole-Number Fractions, Locating Fractions, Equivalent Fractions, Mixed Numbers, Parts of a Whole, Simplest Form

Enrichment​: Fractions on a Ruler, Comparing and Ordering, Fraction Links, Splitting Shapes

Core Concepts​: Adding Fractions, Mixed Numbers, Mixed Numbers, Skip-Counting, Adding Mixed Numbers, Subtracting Fractions, Subtracting Mixed Numbers, Mixed Number Arithmetic

Enrichment​: Longer Sums, Challenge Problems

Core Concepts​: “Of", Visual Models, Multiplying Fractions, Estimating Products, Multiplying Mixed Numbers, Division, Reciprocals, Dividing by Unit Fractions

Enrichment​: Challenge Problems, Perimeter and Area

Core Concepts​: Factors, Factor Pairs, Prime Numbers, The Sieve of Eratosthenes, Divisibility Tests

Enrichment​: Challenge Problems, Prime Factorization, Divisibility with Prime Factorization

Core Concepts​: Negatives, Less Than Zero, Comparing Integers, Adding Integers, Sum Squares, Subtracting Integers, Patterns

Enrichment​: Absolute Value, Adding to Subtract

Core Concepts​: Place Value, Converting, Mixed Numbers, Comparing Decimals, Place Value & Ordering, Number Line, Rounding Decimals, Adding Decimals, Subtracting Decimals

Enrichment​: Arithmetic Strategies, Challenge Problems

Core Concepts​​: Area Basics, Rectilinear area, Perimeter review Measuring areas, square units, adding and subtracting areas, right
triangles, triangles, Line, angles, definitions, angles in triangle, Quadrilaterals

Enrichment​: Tangrams, challenge problems, Measuring angles, parallel and perpendicular, angles in a quadrilateral