Primary 4 Mathematics

Students will extend their understanding of numbers to include negative integers, representing them on a number line and ordering them.

Students will identify common factors and multiples, differentiate between prime and composite numbers, and apply these concepts to problem-solving.

Students will learn and apply rules for multiplying and dividing positive and negative integers, solving related problems.

Students will master adding and subtracting positive and negative integers using number lines and conceptual understanding.

Students will explore the concept of negative numbers, their representation on a number line, and their application in real-world scenarios like temperature and debt.

Students will learn and apply the order of operations to solve multi-step arithmetic problems involving whole numbers.

Students will define rational numbers, understanding that fractions and decimals are different representations of these numbers.

Students will compare and order rational numbers (fractions and decimals, positive and negative) using various strategies.

Students will add and subtract rational numbers, including positive and negative fractions and decimals, solving multi-step problems.

Students will multiply and divide rational numbers (fractions and decimals, positive and negative), applying appropriate rules and strategies.

Students will convert between fractions, decimals, and percentages, and apply percentages to real-world problems like discounts and interest.

Students will understand the concept of ratio, express ratios in simplest form, and solve simple problems involving direct proportion.

Students will learn to round numbers to a specified number of significant figures and use estimation to check the reasonableness of calculations.

Students will express very large and very small numbers in standard form (scientific notation) and perform basic operations with them.

Students will understand the concepts of approximation and error, including absolute and relative error, in practical measurements.

Students will perform multi-step calculations involving all four operations with rational numbers, applying the order of operations.

Students will apply their understanding of rational numbers and operations to solve a variety of real-world word problems.

Students will understand ratios as a comparison of two quantities, writing them in various forms and simplifying them.

Students will identify and generate equivalent ratios, using them to solve problems involving direct proportion.

Students will understand percentage as 'parts per hundred', converting between percentages, fractions, and decimals.

Students will calculate the percentage of a given quantity and solve problems involving percentage increase and decrease.

Students will apply percentage concepts to solve problems involving discounts, taxes, interest, and other everyday financial scenarios.

Students will review and extend their knowledge of angle types (acute, obtuse, reflex) and properties of angles on a straight line and at a point.

Students will identify and apply properties of angles formed when a transversal intersects parallel lines (corresponding, alternate, interior angles).

Students will use compass and straightedge to construct perpendicular bisectors, angle bisectors, and parallel lines.

Students will derive and apply the formula for the sum of interior angles of any polygon, and calculate individual interior/exterior angles of regular polygons.

Students will apply angle properties of triangles (sum of angles, exterior angle theorem) and classify them by sides and angles.

Students will investigate and apply the properties of various quadrilaterals (parallelograms, rhombuses, trapeziums, kites) to solve problems.

Students will calculate the area and perimeter of composite figures involving rectangles, triangles, and parallelograms.

Students will derive and apply the formulas for the circumference and area of circles, solving related problems.

Students will calculate the volume of prisms and cylinders, understanding the concept of cross-sectional area.

Students will calculate the total surface area of prisms and cylinders by considering their nets and individual faces.

Students will identify and describe lines of symmetry, rotational symmetry, and reflection symmetry in 2D shapes and patterns.

Students will identify and draw nets of common 3D shapes (prisms, cylinders, pyramids, cones) and visualize their folding into solids.

Students will construct and interpret histograms and stem-and-leaf plots for continuous and discrete data, identifying patterns and distributions.

Students will construct and interpret pie charts, understanding how to represent proportions of a whole using angles and percentages.

Students will calculate and interpret measures of central tendency (mean, median, mode) and spread (range) for simple data sets.

Students will understand basic probability concepts, expressing the likelihood of events using fractions, decimals, and percentages.

Students will understand the concept of rate and speed, calculate average speed, and solve problems involving distance, time, and speed.

Students will explore the concept of time zones and solve problems involving time differences across different locations.

Students will understand variables as unknown quantities, write simple algebraic expressions, and evaluate them.

Students will combine like terms to simplify algebraic expressions, applying the commutative and associative properties.

Students will solve one-step linear equations involving addition, subtraction, multiplication, and division using inverse operations.

Students will solve two-step linear equations involving various operations, applying inverse operations systematically.

Students will identify arithmetic and geometric patterns, determine the rule, and extend sequences.

Students will analyze and extend patterns found in geometric shapes and visual arrangements, describing their growth rules.

Students will complete input-output tables, identify the rule relating input to output, and express it algebraically.

Students will understand the concept of a function as a rule that assigns each input to exactly one output, using function notation f(x).

Students will create simple budgets, track income and expenses, and understand the importance of financial planning.

Students will calculate cost, selling price, and profit/loss in simple business scenarios.

Students will calculate simple interest earned or paid over a period, understanding its application in savings and loans.

Students will apply a range of problem-solving strategies (e.g., drawing diagrams, working backward, making a list) to solve multi-step problems.

Students will engage in logical reasoning activities and solve mathematical puzzles to enhance critical thinking and deductive skills.