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**Scheme of work: Key Stage 3: Year 7: Term 1: Introduction to Secondary Maths**

- Recall multiplication and division facts for multiplication tables up to 12 Ã— 12
- Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1;
- Solve problems involving multiplying and adding
- Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
- identify lines of symmetry in 2-D shapes presented in different orientations

- This unit of work is designed to enable the teacher to assess each student’s baseline knowledge of mathematics.
- Students work in pairs or small groups to solve a range of problem solving activities involving timetables, shape, use of a calculator and place value.
- Encourage students to draw on their prior learning by prompting them to consider place value, the order of operations, and knowledge of timetables, reflective symmetry and properties of 2D shapes.

*Develop fluency*- consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and roots
- select and use appropriate calculation strategies to solve increasingly complex problems
- use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships
- use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.

*Reason mathematically*- extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
- make and test conjectures about patterns and relationships; look for proofs or counter-examples
- begin to reason deductively in geometry, number and algebra, including using geometrical constructions

*Solve problems*- develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
- develop their use of formal mathematical knowledge to interpret and solve problems
- begin to model situations mathematically and express the results using a range of formal mathematical representations
- select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems

*Number*- use the concepts and vocabulary of prime numbers, factors (or divisors), multiples
- use the four operations, including formal written methods, applied to integers
- use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals
- use integer powers and associated real roots
- use a calculator and other technologies to calculate results accurately and then interpret them appropriately
- use standard units of mass, length, time, money and other measures

*Algebra*- generate terms of a sequence from either a term-to-term or a position-to-term rule
*Geometry and measures*- derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies
- identify properties of, and describe the results of, translations, rotations and reflections applied to given figures

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