# Introduction to Secondary Maths

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

#### Prerequisite Knowledge

• 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

#### Key Concepts

• 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.

#### Success Criteria

• 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

#### Subject Content

• 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

## Introduction to Secondary Maths Resources

### Mr Mathematics Blog

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing

#### 3D Vectors – Year 2

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

#### Parametric Equations

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations