**A. Space, time and motion**

- A.1 Kinematics SL Paper 1
- A.2 Forces and momentum SL Paper 1
- A.3 Work, energy and power SL Paper 1
- A.4 Rigid body mechanics HL Only
- A.5 Galilean and special relativity HL Only

**B. The particulate nature of matter**

The Year 5 math curriculum is designed to build upon the mathematical knowledge and skills developed in previous years. It covers a wide range of topics and concepts, including number sense, arithmetic operations, geometry, measurement, and data handling. Here’s a detailed overview of the Year 5 math national curriculum:

**Number and Place Value:**- Read, write, order, and compare numbers up to 1,000,000.
- Recognize the value of each digit in a six-digit number.
- Round any number to the nearest 10, 100, 1,000, 10,000, or 100,000.
- Solve number and place value problems.

**Addition and Subtraction:**- Add and subtract whole numbers with up to 6 digits using efficient methods.
- Use estimation and inverse operations to check answers.
- Solve addition and subtraction problems, including missing number problems.

**Multiplication and Division:**- Multiply and divide numbers mentally, including decimals and large numbers.
- Use efficient written methods for multiplication and division.
- Solve multiplication and division problems, including scaling problems and finding factors and multiples.

**Fractions:**- Recognize and name fractions and mixed numbers.
- Compare and order fractions with different denominators.
- Add and subtract fractions with the same denominator.
- Multiply proper fractions and mixed numbers by whole numbers.
- Solve fraction problems, including finding fractions of amounts and solving problems involving fractions, decimals, and percentages.

**Decimals and Percentages:**- Recognize and understand the relationship between decimals and fractions.
- Convert between decimals and percentages.
- Add, subtract, and compare decimals up to three decimal places.
- Solve decimal and percentage problems, including finding percentages of amounts and solving problems involving discounts and interest.

**Measurement:**- Convert between different units of measurement (e.g., kilometers to meters, liters to milliliters).
- Solve problems involving perimeter, area, and volume.
- Estimate and measure angles using a protractor.
- Tell and write the time using the 12-hour and 24-hour clock.
- Solve time problems, including timetables and solving problems involving duration.

**Geometry:**- Identify, describe, and classify shapes, including quadrilaterals, pentagons, and hexagons.
- Identify lines of symmetry in 2D shapes.
- Recognize and describe the properties of 3D shapes.
- Identify and describe angles, including right angles, acute angles, and obtuse angles.

**Statistics and Data Handling:**- Interpret and present data using bar charts, pictograms, and tables.
- Solve problems involving line graphs and interpret timetables.
- Calculate and interpret the mean as an average.
- Solve statistical and data handling problems, including finding the mode and range.

In addition to these topics, the Year 5 math curriculum also emphasizes problem-solving skills, mathematical reasoning, and the ability to apply mathematical knowledge to real-life situations. It encourages students to develop fluency, accuracy, and efficiency in their mathematical calculations and to use mathematical language and notation correctly.

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