4th Class Mastering Mathematical Thinking: 4th Class

Extending understanding of place value to larger integers, including millions and billions, and exploring different number systems.

Investigating properties of integers including factors, multiples, prime numbers, composite numbers, and prime factorisation.

Comparing and ordering integers, fractions, decimals, and introducing irrational numbers on a number line.

Applying rounding to decimal places and significant figures in various contexts, including scientific notation.

Developing strategies for estimating and approximating calculations involving various number types and operations.

Performing addition and subtraction with all types of fractions, including mixed numbers and improper fractions.

Performing multiplication and division with all types of fractions, including mixed numbers and improper fractions.

Extending understanding of decimal place value to thousandths and beyond, and performing all four operations with decimals.

Mastering conversions between fractions, decimals, and percentages, including recurring decimals.

Calculating percentages of quantities, percentage increase/decrease, and applying percentages in real-world problems.

Understanding and applying concepts of ratio and proportion to solve problems, including direct and inverse proportion.

Exploring concepts of income, expenditure, profit, loss, and developing personal budgeting skills.

Solving multi-step word problems involving fractions and decimals in various real-world contexts.

Developing and practicing mental math strategies for addition, subtraction, multiplication, and division.

Introducing the concepts of factors and multiples and identifying them for given numbers.

Performing addition and subtraction with positive and negative integers, using number lines and rules.

Performing multiplication and division with positive and negative integers, understanding the rules for signs.

Applying the order of operations (PEMDAS/BODMAS) to evaluate complex numerical expressions involving integers, fractions, and decimals.

Understanding exponents and powers, including positive and negative integer exponents, and applying them in calculations.

Expressing very large and very small numbers using scientific notation and performing operations with them.

Understanding square roots and cube roots, identifying perfect squares and cubes, and estimating non-perfect roots.

Solving multi-step word problems involving both multiplication and division.

Identifying patterns in sequences and predicting subsequent terms.

Creating and analyzing input-output tables to discover and express rules.

Using symbols (variables) to represent unknown quantities in simple equations.

Solving one-step linear equations involving addition and subtraction.

Solving one-step linear equations involving multiplication and division.

Exploring the commutative, associative, and distributive properties of addition and multiplication.

Understanding and representing simple inequalities using symbols (>, <, ≥, ≤).

Applying algebraic thinking to solve a variety of word problems and puzzles.

Classifying polygons based on their number of sides and vertices.

Classifying quadrilaterals based on their angles and side lengths.

Classifying triangles based on their side lengths (equilateral, isosceles, scalene) and angles (right, acute, obtuse).

Performing reflections of 2D shapes across the x-axis, y-axis, and other lines in the coordinate plane.

Introducing the concept of rotational symmetry and identifying shapes with rotational symmetry.

Investigating how certain shapes can tile a plane without gaps or overlaps.

Investigating angle relationships formed by parallel lines and a transversal (e.g., corresponding, alternate interior, consecutive interior angles).

Calculating the sum of interior and exterior angles of polygons and finding individual angle measures in regular polygons.

Performing basic geometric constructions using a compass and straightedge, including bisecting angles and lines.

Calculating the surface area of prisms, cylinders, and other common 3D shapes using nets and formulas.

Exploring how 2D nets can be folded to form 3D shapes.

Understanding and performing translations (slides) of 2D shapes on a grid.

Understanding and performing reflections (flips) of 2D shapes across a line of symmetry.

Understanding and performing quarter turns (rotations) of 2D shapes around a point.

Calculating the perimeter and area of various 2D shapes, including composite shapes.

Calculating the circumference and area of circles, and understanding the relationship with pi (π).

Calculating the volume of prisms and cylinders, and understanding the concept of capacity.

Understanding density as a relationship between mass and volume, and exploring other rates of change.

Mastering conversions between different metric units of length, mass, and capacity, including compound units.

Introducing basic budgeting concepts and understanding the value of money.

Solving multi-step problems that involve different units of measurement (length, weight, capacity, time).

Exploring various methods of data collection (surveys, experiments, observation) and understanding the importance of sampling.

Organizing data into frequency tables and constructing and interpreting various types of bar charts (single, multiple, stacked).

Constructing and interpreting histograms for continuous data and pie charts for categorical data.

Introducing the concept of the mean as a representative value for a data set.