Topic outline

STRAND

CHAPTER & TOPIC

1. Number, Operation and Computation

Chapter 1.1 Number & Operation

·     Converting Between Fractions, Decimals and Percentages

·     Ordering whole, fractions and decimals numbers

·    Operations with Fraction

·   Calculating time with fraction

·   Operations with Decimal Numbers

·   Solving fraction and decimal word problems using the four arithmetic operations

Chapter 1.2 Directed numbers

·    Positive and negative numbers

·    Ordering directed numbers on the number line

·    Using inequality to compare numbers

·    Laws of addition and multiplication (Commutative and Associative)

·    Distributive law

·    Addition of negative and positive numbers (whole, decimals and fractions)

·    Subtraction of negative and positive numbers (whole, decimals and fractions)

·    Multiplying negative and positive numbers

·    Dividing negative and positive numbers

·    Order of operations with directed numbers

Chapter 1.3 Ratio and proportion

·    Simplify ratios

·    Direct and inverse proportion and their graphs

·    Comparing two quantities

·    Ratio represented by a fraction and decimal

·    Ratio of similar figures

·    Solving ratio problems

Chapter 1.4 Rates

·    Calculating speed

·    Travel graphs

2. Geometry, Measurement and Transformation

Chapter 2.1 Metric system and measurement   

·    The system of metric units (Units of area, Units of volume, units of weight)

Chapter 2.2 Geometric figures

·    Lines and angles

·    Angles formed at the intersection of two lines

·    Properties of angles and parallel lines (Alternate, co-interior and corresponding angles)

·    Perpendicular and parallel lines

·    Properties of triangles (Isosceles, equilateral & right angles)

·    Interior and exterior angles in triangles

·    Properties of parallelogram

·    Sum of interior and exterior angles in polygons

·    Figures with line symmetry

·    Figures with point symmetry

·    Polygons and lines of symmetry

·    Similar figures (Reduce & enlarge figures)

·    Transformation and translation

·    Rotation and reflection of figures

·    Perpendicular bisector

·    Angle bisector

·    Congruent triangles and the tests for congruency

·    Shapes of figures without changing the area

Chapter 2.3 Circle properties

·     Properties of circle

·     Measuring circles and sectors

·     Central angle of a sector

Chapter 2.4 Calculating area of various shapes

·     Calculating the area of a circle

·     Calculating area of 2 dimensional figures

Chapter 2.5 Surface area of solids

·    Classifying solids

·    Nets of various solids

·    Planes and lines in the spaces

·    Positional relationship between lines and planes and between two planes

·    Surface area of prims, cylinders, pyramids, cones and sphere

Chapter 2.6 Volume

·    Finding volume of prisms, cylinders, pyramids, cones and spheres

Chapter 2.7 Ordering and Combinations

3. Patterns and Algebra

Chapter 3.1 Mathematical symbol and expressions

·    Terms, coefficients and variables in algebraic expressions

·    Finding the value of mathematical expression and substitute the number values

·    Writing algebraic expressions and quantity

·    Monomials and polynomials

·    Adding and subtracting algebraic expression (Like and unlike terms)

·    Multiplying and dividing expressions with one term, two terms and more terms

·    Removing grouping symbols and simplify algebraic expressions    

Chapter 3.2 Algebraic Techniques   

·    Equalities showing equal quantities

·    Solving algebraic equations including linear functions

·    Solving simultaneous linear equation with two unknowns

·    Solve real problems using simultaneous equations

·    Properties of inequalities

·    Using inequalities to indicate relative size of two quantities  

Chapter 3.3 Functions and Other Graphs

·     Understanding functions

·     Coordinates

·     Linear function: Two quantities which change together

·     Rate of change in linear function

·     Graphing linear function with and without the domain

·     Finding the Line slopes / gradients

·     Finding the y-intercept of linear function

·     Determine the equation of a straight-line graph using the slope and a point on the line

·     Determine the equation of a straight-line graph using two points on the line

·     Apply linear functions to solve problem

4. Statistics and Probability

Chapter 4.1 Data and statistics

·    Organising data in frequency table

·    Display data using a histogram and frequency distribution polygons

·    Relative frequency

·    Finding mode and median in data set

·    Finding mean of grouped and ungrouped distribution

·    Analyse data distribution using mode, median and mean

·    Using range to measure the dispersion of data set

Chapter 4.2 Probability

·     The meaning of probability

·    Likelihood of events happening

·     Usage of numbers to express probability

·     Probabilities when tossing a coin

·     Probabilities when rolling dices and drawing straws

Unit 1: Plants

Reproduction and hereditary of plants

–   Reproductive parts and their functions of flowers

–   Process of reproduction in flowering plants

–   Reproduction in non-flowering plants

–    Heredity

Pathway of water in plants

–    Paths of water in stem, root and leaves

Groups of plants

Flowering and non-flowering plants

Gas exchange system

–    Respiration of plants

–    Photosynthesis

–    Gas exchange system in plants

Cells

–    Properties of cells

–    Plant cells

Groups of animals

–    Vertebrates and invertebrate

–    Classification of vertebrates

Cells

–    Properties of cells

–    Animal cells

Respiratory System

–    Breathing

Circulatory System

–    Circulation

Digestive System

–    Nutrients

–    Digestion

Paths of energy in food

–    Food chain

–    Food web

–    Population in food chain

–    decomposers

Living Together

–    Ecosystem

–    Population

–    community

Changes in the environment

–    Environmental changes by human activities

–    Pollution

–    Conservation of the environment

Energy

–    Forms and uses of energy

–    Sources of energy

–    Energy conversion

Electromagnet

–    Properties of electromagnet

–    Conditions to strengthen an electromagnet

Electricity

–    Circuits and electric current

–    Electric current (voltage and resistance)

–    Static electricity

Light and Lens

–    Light

–    Lens

Electric current and magnetic field

–    Magnetic field and Magnetic forces

–    Magnetic fields around electric current

–    Force received by electric currents within magnetic field

–    Electromagnetic induction and power generation

–    Application of electromagnets

Earth’s gravity

–    Weight

–    Gravity

–    Mass

Force

–    Types of forces

–    Forces

Pressure

–    Pressure

Density

–    Properties of density

Force and work

–    Work and Power

Mixtures and Solutions

–    Observing solutions

–    Properties of solutions

–    Mixture and substance

–    Separation of mixtures

Properties of solutions

–    Properties of solutions

–    Acid, alkaline, and neutral solutions

–    Solubility

Atoms, molecules and compounds

–    Atoms

–    Molecules

–    Compounds

Chemical      changes

–    Chemical changes

–    Chemical changes and mass of substance

State changes

–    State change and heat

Formation and change of land

–    Soil layers

–    Sedimentary rocks

–    Change of land

Earth’s structure

–    Composition and structure of the Earth

–    Plates and Earthquake

Natural Resources

–    Natural resources

Volcano and Igneous Rocks

–    Volcano

–    Igneous rocks

Rock Cycle

–    How rocks form

–    How rocks change

Unit 2: Weather and Climate

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Weather Change

–    Atmosphere

–    Cloud and Fog

–    Weather in Papua New Guinea

Weather and Climate

–    Climate

–    Climate changes

The Moon

–     Moon in motion

–    Moon phases

Stars

–    Properties of stars

–    Motion of stars

–    Constellation in Papua New Guinea night sky

Earth’s motion

–    Motion of the Earth

–    Day and Night

–    Seasons

Exploring space

•             Space

•             Solar system

•             Galaxy