**PYP6 (Grade 6) Mathematics**

In the IB Primary Years Programme (PYP), mathematics is also viewed as a vehicle to support inquiry, providing a global language through which we make sense of the world around us. It is intended that students become competent users of the language of mathematics, and can begin to use it as a way of thinking, as opposed to seeing it as a series of facts and equations to be memorized. The aim of our Mathematics programme is to develop students into confident mathematical thinkers, with a sound knowledge of number and the creativity to apply this knowledge to solve problems in many ways.

Instruction and assessment of Mathematics is organised around 4 strands/skills:

- Number
- Pattern and Function
- Data Handling
- Measurement
- Shape and Space

**What will students will be working on this year? **

**Number ****(****Phase 4)**

- model, read and use whole numbers up to millions or beyond in real-life situations
- model, read and use ratios in real-life situations
- model, read and use integers in real-life situations
- convert improper fractions to mixed numbers and vice versa in real-life situations
- simplify fractions in computation answers
- use fractions, decimals and percentages interchangeably in real- life situation
- select and use an appropriate sequence of operations to solve word problems
- select an efficient method for solving a problem: mental estimation, mental computation, written algorithms, by using a calculator
- use strategies to evaluate the reasonableness of answers
- use mental and written strategies for adding, subtracting, multiplying and dividing fractions and decimals in real-life situations
- estimate and make approximations in real-life situations involving fractions, decimals and percentages.

**Pattern and Function (****Phase 4)**

- understand that patterns can be generalized by a rule
- understand exponents as repeated multiplication
- understand the inverse relationship between exponents and roots
- understand that patterns can be represented, analysed and generalized using tables, graphs, words, and, when possible, symbolic rules.
- represent the rule of a pattern by using a function
- analyse pattern and function using words, tables and graphs, and, when possible, symbolic rules.
- select appropriate methods to analyse patterns and identify rules
- use functions to solve problems.

**Data Handling (****Phase 4)**

- understand that different types of graphs have special purposes
- understand that the mode, median, mean and range can summarize a set of data
- understand that probability can be expressed in scale (0-1) or per cent (0%-100%)
- understand the difference between experimental and theoretical probability.
- collect, display and interpret data in circle graphs (pie charts) and line graphs
- identify, describe and explain the range, mode, median and mean in a set of data
- set up a spreadsheet using simple formulas to manipulate data and to create graphs
- express probabilities using scale (0-1) or per cent (0%-100%).
- design a survey and systematically collect, record, organize and display the data in a bar graph, circle graph, line graph
- identify, describe and explain the range, mode, median and mean in a set of data
- create and manipulate an electronic database for their own purposes
- determine the theoretical probability of an event and explain why it might differ from experimental probability.

**Measurement (****Phase 4)**

- use standard units of measurement to solve problems in real-life situations involving length, mass, capacity, money and temperature
- understand the use of standard units to measure, for example, length, mass, money, time, temperature
- understand that tools can be used to measure
- understand that time is measured using universal units of measure, for example, years, months, days, hours, minutes and seconds
- read and write digital and analogue time on 12-hour and 24-hour clocks.
- use timelines in units of inquiry and other real-life situations.

**Shape and Space ****(****Phase 4)**

- understand the common language used to describe shapes
- understand the properties of regular and irregular polyhedral
- understand the properties of circles
- understand how scale (ratios) is used to enlarge and reduce shapes
- understand systems for describing position and direction
- understand that 2D representations of 3D objects can be used to visualize and solve problems
- understand that geometric ideas and relationships can be used to solve problems in other areas of mathematics and in real life.
- analyse, describe, classify and visualize 2D (including circles, triangles and quadrilaterals) and 3D shapes, using geometric vocabulary
- describe lines and angles using geometric vocabulary
- identify and use scale (ratios) to enlarge and reduce shapes
- identify and use the language and notation of bearing to describe direction and position
- create and model how a 2D net converts into a 3D shape and vice versa
- explore the use of geometric ideas and relationships to solve problems in other areas of mathematics.
- use geometric vocabulary when describing shape and space in mathematical situations and beyond
- use scale (ratios) to enlarge and reduce shapes
- apply the language and notation of bearing to describe direction and position
- use 2D representations of 3D objects to visualize and solve problems, for example using drawings or models.