__Year 6 Math Home Learning__* *

### Year 6 Math National Curriculum UK

The Year 6 Math National Curriculum in the UK covers a range of topics designed to build upon the mathematical knowledge and skills developed in previous years. Here is a detailed breakdown of the main areas covered in Year 6:

**Number and Place Value:**

- Read, write, order, and compare numbers up to 10,000,000.
- Recognize the value of each digit in a number and multiply and divide numbers by 10, 100, and 1,000.
- Round numbers to the nearest 10, 100, 1,000, 10,000, and 100,000.

**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, Decimals, and Percentages:**

- Recognize and write decimal equivalents of fractions and vice versa.
- Compare and order fractions, including those with different denominators.
- Add and subtract fractions with different denominators and mixed numbers.
- Multiply proper fractions and mixed numbers by whole numbers.
- Find the percentage of a given amount.

**Ratio and Proportion:**

- Solve problems involving the relative sizes of two quantities using ratio and proportion.
- Solve problems involving percentage increase, decrease, or comparison.

**Algebra:**

- Use simple formulae.
- Generate and describe linear number sequences.
- Express missing number problems algebraically.
- Find pairs of numbers that satisfy an equation with two unknowns.

**Geometry:**

- Draw 2D shapes and make 3D shapes using modeling materials.
- Recognize and classify shapes based on their properties, including angles and lines of symmetry.
- Identify and describe the properties of triangles, quadrilaterals, pentagons, hexagons, and octagons.
- Calculate the area and perimeter of shapes.
- Identify and describe the properties of circles, including the radius, diameter, and circumference.

**Measurement:**

- Convert between different units of measure (e.g., kilometers to meters).
- Calculate the perimeter and area of rectangles and related composite shapes.
- Estimate, compare, and calculate different measures, including money in pounds and pence.
- Solve problems involving the calculation of time intervals.
- Use metric units of measurement (including centimeters, meters, and kilometers) and estimate and compare measurements.

**Statistics:**

- Interpret and construct pie charts and line graphs.
- Solve comparison, sum, and difference problems using information presented in bar charts, pictograms, tables, and other graphs.

Throughout Year 6, students are encouraged to develop their problem-solving skills, apply their mathematical knowledge to real-life situations, and explain their reasoning using mathematical language. They also learn to use a range of mathematical tools, such as calculators and measuring instruments, to support their understanding and problem-solving abilities.