PYP Programme of Learning
English
Listening and Speaking
Phase 1 (Early Years Nursery and Pre-K)
Learners show an understanding of the value of speaking and listening to communicate. They recognise that sounds are associated with objects, or with symbolic representations of them. They are using language to name their environment, to get to know each other, to initiate and explore relationships, to question and inquire.
Phase 2 (Kindergarten)
Learners show an understanding that sounds are associated with objects, events and ideas, or with symbolic representations of them. They are aware that an object or symbol may have different sounds or words associated with it in different languages. They are beginning to be cognisant about the high degree of variability of language and its uses.
Phase 3 (Grades 1 and 2)
Learners show an understanding of the wide range of purposes of spoken language: that it instructs, informs, entertains, reassures; that each listener’s perception of what they hear is unique. They are compiling rules about the use of different aspects of language.
Phase 4 (Grades 3 and 4)
Learners show an understanding of the conventions associated with speaking and listening and the value of adhering to those conventions. They are aware that language is a vehicle for becoming knowledgeable; for negotiating understanding; and for negotiating the social dimension.
Phase 5 (Grade 5)
Learners are able to understand the difference between literal and figurative language; how to use language differently for different purposes. They are aware that they are building on their previous experiences and using language to construct new meaning
Viewing and Presenting
Phase 1 (Early Years Nursery and Pre-K)
Learners show an understanding that the world around them is full of visual language that conveys meaning. They are able to interpret and respond to visual texts. Although much of their own visual language is spontaneous, they are extending and using visual language in more purposeful ways.
Phase 2 (Kindergarten)
Learners identify, interpret and respond to a range of visual text prompts and show an understanding that different types of visual texts serve different purposes. They use this knowledge to create their own visual texts for particular purposes.
Phase 3 (Grades 1 and 2)
Learners show an understanding that visual text may represent reality or fantasy. They recognise that visual text resources can provide factual information and increase understanding. They use visual text in a reflective way to enrich their storytelling or presentations, and organise and represent information.
Phase 4 (Grades 3 and 4)
Learners show an open-mindedness about the use of a range of visual text resources to access information. They think critically, and are articulate about the use of visual text to influence the viewer. They are able to use visual imagery to present factual information, or to tell a story.
Phase 5 (Grade 5)
Through inquiry, learners engage with an increasing range of visual text resources. As well as exploring the viewing and presenting strategies that are a part of the planned learning environment, they select and use strategies that suit their learning styles. They are able to make connections between visual imagery and social commentary. They show more discernment in selecting information they consider reliable. They are able to use visual imagery to support a position.
Reading
Phase 1 (Early Years Nursery and Pre-K)
Learners show an understanding that print represents the real or the imagined world. They know that reading gives them knowledge and pleasure; that it can be a social activity or an individual activity. They have a concept of a “book”, and an awareness of some of its structural elements. They use visual cues to recall sounds and the words they are “reading” to construct meaning.
Phase 2 (Kindergarten)
Learners show an understanding that language can be represented visually through codes and symbols. They are extending their data bank of printed codes and symbols and are able to recognise them in new contexts. They understand that reading is a vehicle for learning, and that the combination of codes conveys meaning.
Phase 3 (Grades 1 and 2)
Learners show an understanding that text is used to convey meaning in different ways and for different purposes—they are developing an awareness of context. They use strategies, based on what they know, to read for understanding. They recognise that the structure and organisation of text conveys meaning.
Phase 4 (Grades 3 and 4)
Learners show an understanding of the relationship between reading, thinking and reflection. They know that reading is extending their world, both real and imagined, and that there is a reciprocal relationship between the two. Most importantly, they have established reading routines and relish the process of reading.
Phase 5 (Grade 5)
Learners show an understanding of the strategies authors use to engage them. They have their favourite authors and can articulate reasons for their choices. Reading provides a sense of accomplishment, not only in the process, but in the access it provides them to further knowledge about, and understanding of, the world.
Writing
Phase 1 (Early Years Nursery and Pre-K)
Learners show an understanding that writing is a form of expression to be enjoyed. They know that how you write and what you write conveys meaning; that writing is a purposeful act, with both individual and collaborative aspects.
Phase 2 (Kindergarten)
Learners show an understanding that writing is a means of recording, remembering and communicating. They know that writing involves the use of codes and symbols to convey meaning to others; that writing and reading uses the same codes and symbols. They know that writing can describe the factual or the imagined world.
Phase 3 (Grades 1 and 2)
Learners show an understanding that writing can be structured in different ways to express different purposes. They use imagery in their stories to enhance the meaning and to make it more enjoyable to write and read. They understand that writing can produce a variety of responses from readers. They can tell a story and create characters in their writing.
Phase 4 (Grades 3 and 4)
Learners show an understanding of the role of the author and are able to take on the responsibilities of authorship. They demonstrate an understanding of story structure and are able to make critical judgments about their writing, and the writing of others. They are able to rewrite to improve the quality of their writing.
Phase 5 (Grade 5)
Learners show an understanding of the conventions pertaining to writing, in its different forms, that are widely accepted. In addition, they demonstrate a high level of integration of the strands of language in order to create meaning in a manner that suits their learning styles. They can analyse the writing of others and identify common or recurring themes or issues. They accept feedback from others.
Mathematics
Data Handling
Phase 1 (Early Years and Kindergarten)
Learners will develop an understanding of how the collection and organisation of information helps to make sense of the world. They will sort, describe and label objects by attributes and represent information in graphs including pictographs and tally marks. The learners will discuss chance in daily events.
Phase 2 (Grades 1 and 2)
Learners will understand how information can be expressed as organised and structured data and that this can occur in a range of ways. They will collect and represent data in different types of graphs, interpreting the resulting information for the purpose of answering questions. The learners will develop an understanding that some events in daily life are more likely to happen than others and they will identify and describe likelihood using appropriate vocabulary.
Phase 3 (Grades 3 and 4)
Learners will continue to collect, organise, display and analyse data, developing an understanding of how different graphs highlight different aspects of data more efficiently. They will understand that scale can represent different quantities in graphs and that mode can be used to summarise a set of data. The learners will make the connection that probability is based on experimental events and can be expressed numerically.
Phase 4 (Grade 5)
Learners will collect, organise and display data for the purposes of valid interpretation and communication. They will be able to use the mode, median, mean and range to summarise a set of data. They will create and manipulate an electronic database for their own purposes, including setting up spreadsheets and using simple formulas to create graphs. Learners will understand that probability can be expressed on a scale (0–1 or 0%–100%) and that the probability of an event can be predicted theoretically.
Shape, Space and Geometry
Phase 1 (Early Years and Kindergarten)
Learners will understand that shapes have characteristics that can be described and compared. They will understand and use common language to describe paths, regions and boundaries of their immediate environment.
Phase 2 (Grades 1 and 2)
Learners will continue to work with 2D and 3D shapes, developing the understanding that shapes are classified and named according to their properties. They will understand that examples of symmetry and transformations can be found in their immediate environment. Learners will interpret, create and use simple directions and specific vocabulary to describe paths, regions, positions and boundaries of their immediate environment.
Phase 3 (Grades 3 and 4)
Learners will sort, describe and model regular and irregular polygons, developing an understanding of their properties. They will be able to describe and model congruency and similarity in 2D shapes. Learners will continue to develop their understanding of symmetry, in particular reflective and rotational symmetry. They will understand how geometric shapes and associated vocabulary are useful for representing and describing objects and events in real-world situations.
Phase 4 (Grade 5)
Learners will understand the properties of regular and irregular polyhedra. They will understand the properties of 2D shapes and understand that 2D representations of 3D objects can be used to visualise and solve problems in the real world, for example, through the use of drawing and modelling. Learners will develop their understanding of the use of scale (ratio) to enlarge and reduce shapes. They will apply the language and notation of bearing to describe direction and position.
Patterns, Function and Algebra
Phase 1 (Early Years and Kindergarten)
Learners will understand that patterns and sequences occur in everyday situations. They will be able to identify, describe, extend and create patterns in various ways.
Phase 2 (Grades 1 and 2)
Learners will understand that whole numbers exhibit patterns and relationships that can be observed and described, and that the patterns can be represented using numbers and other symbols. As a result, learners will understand the inverse relationship between addition and subtraction, and the associative and commutative properties of addition. They will be able to use their understanding of pattern to represent and make sense of real-life situations and, where appropriate, to solve problems involving addition and subtraction.
Phase 3 (Grades 3 and 4)
Learners will analyse patterns and identify rules for patterns, developing the understanding that functions describe the relationship or rules that uniquely associate members of one set with members of another set. They will understand the inverse relationship between multiplication and division, and the associative and commutative properties of multiplication. They will be able to use their understanding of pattern and function to represent and make sense of real-life situations and, where appropriate, to solve problems involving the four operations.
Phase 4 (Grade 5)
Learners will understand that patterns can be represented, analysed and generalised using algebraic expressions, equations or functions. They will use words, tables, graphs and, where possible, symbolic rules to analyse and represent patterns. They will develop an understanding of exponential notation as a way to express repeated products, and of the inverse relationship that exists between exponents and roots. The students will continue to use their understanding of pattern and function to represent and make sense of real-life situations and to solve problems involving the four operations.
Number
Phase 1 (Early Years and Kindergarten)
Learners will understand that numbers are used for many different purposes in the real world. They will develop an understanding of one-to-one correspondence and conservation of number, and be able to count and use number words and numerals to represent quantities.
Phase 2 (Grades 1 and 2)
Learners will develop their understanding of the base 10 place value system and will model, read, write, estimate, compare and order numbers to hundreds or beyond. They will have automatic recall of addition and subtraction facts and be able to model addition and subtraction of whole numbers using the appropriate mathematical language to describe their mental and written strategies. Learners will have an understanding of fractions as representations of whole-part relationships and will be able to model fractions and use fraction names in real-life situations.
Phase 3 (Grades 3 and 4)
Learners will develop the understanding that fractions and decimals are ways of representing whole-part relationships and will demonstrate this understanding by modelling equivalent fractions and decimal fractions to hundredths or beyond. They will be able to model, read, write, compare and order fractions, and use them in real-life situations. Learners will have automatic recall of addition, subtraction, multiplication and division facts. They will select, use and describe a range of strategies to solve problems involving addition, subtraction, multiplication and division, using estimation strategies to check the reasonableness of their answers.
Phase 4 (Grade 5)
Learners will understand that the base 10 place value system extends infinitely in two directions and will be able to model, compare, read, write and order numbers to millions or beyond, as well as model integers. They will develop an understanding of ratios. They will understand that fractions, decimals and percentages are ways of representing whole-part relationships and will work towards modelling, comparing, reading, writing, ordering and converting fractions, decimals and percentages. They will use mental and written strategies to solve problems involving whole numbers, fractions and decimals in real-life situations, using a range of strategies to evaluate reasonableness of answers.
Music
Our unique music program ensures that all students, regardless of their age, are able to participate, and we encourage students to develop a love of and appreciation for music that will last them a lifetime. Starting in 2011 with 20 students and one choir lesson per week, the music program at Carmel now has two choirs with 60 children in each, a dance troupe, and a peripatetic instrumental program from K-3.
At Carmel Elementary, students have the opportunity to take part in:
- Weekly instrumental lessons by private tutors
- Choir performances
- Inter House Music competitions
- Instrumental showcase concerts
- Music ensembles
- Dance performances
- Creative soirees
- External instrumental examinations
Early years
Students participate in a variety of musical activities to develop skills in beat and rhythm, pitch and melody. Students learn songs with simple melodic and rhythmic patterns and basic elements of vocal technique. Students also explore body percussion, tempo, form and dynamics, creating and performing using instruments, voice, movement and visual notation.
Higher grades
Students are encouraged to learn an instrument at school, either individually or in small groups and to join a music ensemble. Students commence their study of music theory and learn to read music notation, key musical elements and terminology. Students also have exposure to the different types of electronic music and explore music ideas through the creation and performance of melodic and rhythmic patterns using instruments, movement and voice.
Hebrew and Jewish Studies
Education during the early years is crucial for instilling a strong Jewish identity in children, ensuring the most suitable conditions for brain development and helping young children develop important interpersonal relationships.
The Jewish Studies curriculum is designed to provide students with an appreciation of Jewish culture and celebrations, with a focus on Jewish values, deep rooted within Jewish culture. The Jewish Studies curriculum focuses on Chagim (festivals) and stories from the Tanach (Old Testament) and is taught through songs, stories, games and crafts. Through this curriculum, students gain a comprehensive appreciation of their cultural background, fostering a sense of identity and community.
The Jewish Studies curriculum includes Tefillah (prayer), Torah text studies from the Chumash through the Tanach with their commentaries, basic skills in the Mishnah and Talmud, Halacha, Minhagim (laws and customs), Jewish ethics and the Hebrew language. Also core to the curriculum is the teaching of a love for and appreciation of the State and Land of Israel and the role that it has played and continues to play in the history of the Jewish people.
English as an Additional Language (EAL)
The English as an Additional Language (EAL) programme meets the needs of non-native English speakers. Its purpose is to support students whose dominant language is not English until they demonstrate the functional ability to understand, speak, read, and write confidently to meet the school's academic standards.
Students new to the school from a non-English speaking country, or whose dominant family/home language is not English, are considered for enrollment.
Our Approach: For beginners, we focus on helping students adapt confidently to their new school environment. For advanced learners, we focus on refining English skills to build the competency needed to participate fully across the school-wide curriculum.
Support Models: Instruction is delivered via a Pull-out model (typically for non-English proficient students who leave the core classroom for specialized English instruction) or a Collaborative/Push-in model (where the EAL teacher provides support to individuals and small groups inside the core classroom).
Classes take place one to three times a week, depending on the student's level and ability. Groups are small (ranging from two to a maximum of five children) and students are placed with others of similar abilities.
Time Scale: EAL support is adapted to individual needs and is often required for longer than two years. General progress reports are sent home at the end of every regular school semester.
Units of Inquiry
A Unit of Inquiry is an in-depth exploration of an idea or concept, within which students explore a central idea guided by general guiding inquiries and questions.
Nursery to Pre Kindergarten
Kindergarten - Grade 1
Grade 2-3

How We Express Ourselves
Grade 3 recently presented their Cultural Carnival mini exhibitions, showcasing their current Unit of Inquiry “How We Express Ourselves" to guests and family in an engaging exploration of different cultures and their significance. Students working in groups explored various cultures through presentations focused on history, art, celebrations, clothing, architecture, and cuisine. The exhibition also featured carefully curated artefact tables featuring artwork, clothing, and other items that reflected their cultural research.
In preparation for their exhibitions, students had a workshop on presentation skills. They watched two short videos with tips on how to present and then summarised and reviewed the videos. In the process, students learned the acronym PRESENT (Preparation, Rate, Eye contact, Stance, Expression, Notes, Time), which they implemented during their presentation.

I emphasised to students that it doesn't matter if they have a good presentation if they cannot communicate and present their information effectively. - Ms. Hammond
With Grade 3 teacher Ms. Hammond, the class talked about what makes a good presentation, including presentation strategies and tips, and students worked with their group to devise a plan using their presentation plan booklet. In the final stages of preparation for their exhibitions, groups finished editing their slideshows, curated their artefacts tables, and arranged their display boards with their artwork.
Go in-depth on their exhibitions on their website: https://sites.google.com/carmel.edu.hk/culturalcarnival/home

Grade 4-5
The Five Essential Elements of the PYP Curriculum
Knowledge
The PYP identifies a body of knowledge for all students in all cultures, in six principal subject areas: language, humanities, mathematics, science and technology, the arts, personal, social and physical education. Wherever possible they are taught within the context of the six trans-disciplinary themes, which are:
Who we are: an exploration of the nature of the self; of our beliefs and values; of personal, physical, mental, social and spiritual health; and of our families.
Where we are in place and time: an exploration of our orientation in place and time; of our personal histories; of the discoveries, explorations and migrations of humankind.
How we express ourselves: an exploration of the way the way we discover and express our nature, ideas, feelings, beliefs and values through language and the arts.
How we organise ourselves: an exploration of human systems and communities; of the structure and function of organisations; of societal decision-making; and of economic activities and their impacts.
How the world works: an exploration of the physical and material world; of natural and human-made phenomena; and of the world of science and technology
Sharing the planet: an exploration of rights and responsibilities in the struggle to share finite resources with other people; and of access to equal opportunities, peace and conflict resolution.
Concepts
The PYP curriculum is structured around eight key concepts which enable students to inquire and explore powerful ideas:
| Form: | What is it like? |
| Function: | How does it work? |
| Causation: | Why is it like this? |
| Change: | How is it changing? |
| Connection: | How is it connected to other things? |
| Perspective: | What are the points of view? |
| Responsibility: | What is our responsibility? |
| Reflection: | How do we know? |
Skills
The construction of meaning is complemented by students acquiring and applying a range of trans-disciplinary skills (Thinking Skills, Social Skills, Communication Skills, Self-management Skills, Research Skills), which are valuable not only in the units of inquiry but also for any teaching and learning that goes on within the classroom and in life outside the school.
Attitudes
While recognising the importance of knowledge, concepts and skills, these alone do not make a well-rounded, internationally-minded person. It is vital that there is also focus on the development of attitudes towards people, towards the environment and towards learning — attitudes that contribute to the well-being of the individual and of the group.
Action
An explicit expectation of the PYP is that successful inquiry will lead to responsible action, initiated by the student as a result of the learning process. This action will extend the student’s learning, or it may have a wider social impact, and will vary within each age range. PYP schools can and should meet the challenge of offering all learners the opportunity and the power to choose to act, to decide on their actions and to reflect on these actions in order to make a difference in and to the world.




