Higher Autumn 1 Autumn 2 Spring 1 Spring

Higher Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2 Y 7 Number Sense 1 – Adding and Subtracting Place Value, number sense Adding and subtracting Rounding and estimating Perimeter Multiples Number Sense 2 – Multiplying and Dividing Positive and negative numbers Multiplying and dividing Squares and Cubes Order of Operations Area Mean Factors Algebraic Expressions Algebraic vocabulary Forming expressions Simplifying expressions Substituting into expressions Forming inequalities Linear sequences Fractions Equivalent fractions Compare and order fractions and decimals Change mixed numbers to improper fractions and vice versa Fraction of a quantity Multiply and divide fractions Adding and subtracting fractions Algebraic Fractions Ratio and Proportion Summer 2 on new Ratio notation Relationship between ratio and fractions Working with ratios and quantities FDP % of an amount % increase/decrease Reverse % Angles Draw and Measure Angles Find unknown angles Angles in parallel lines Properties of 2 D shapes Symmetry and Reflection Y 8 Equations and Inequalities Forming Equations Solving equations (inc both sides) Solving equations involving algebraic fractions Changing the subject Language and symbols of inequalities Inequalities and number lines Forming and solving inequalities Graphs Plotting coordinates Midpoints and Lines Equation of horizontal and vertical lines Plotting straight lines Finding gradients and intercepts Finding the equation of a line Identifying parallel lines from algebraic equations Proportional Reasoning Direct Proportion Inverse Proportion Conversions Scales and reading maps Read and interpret real life graphs Rates of change (compound measures) Similarity Representing proportional relationships algebraically Representations and reasoning with data Construct and interpret charts and graphs Mean, mode, median and range Outliers Scatter graphs Correlation and lines of best fit Interpolation and extrapolation Angles Parallel Lines Interior and exterior angles in polygons Problem solving with angles in polygons Calculate and measure bearings Area, Volume Area of circles and composite shapes Circumference of circles and composite shapes Find volume of prisms Changing between units of volume Y 9 Probability Converting between fractions, decimals and percentages Theoretical and experimental probability Probability of single events Combined events Venn diagrams Sample spaces Two way tables Quadratics Creating quadratic expressions Expanding and factorising binomials Plotting quadratic graphs Solving quadratic equations Completing the square and turning points Geometry of Triangles Construction of triangles with protractor and ruler Construction of triangles wit protractor and compass Congruence Pythagoras’ Theorem 3 D Pythagoras’ Theorem Reasoning with number Product of prime factors LCM and HCF Index notation and rules Fractional and negative indices Comparing and ordering numbers in standard form Calculating in standard form Compound percentage change Reverse percentage change Growth and decay Simultaneous Equations Setting up simultaneous equations Finding solutions to simultaneous equations graphically Using algebraic methods to solve simultaneous equations Ratio and Proportion Similarity and enlargement Area and volume of similar shapes Surds SOHCAHTOA Solving problems with trig ratios Y 10 Circle Theorems and Probability Review of angle facts Deriving circle theorems Using circle theorems to find missing angles Expectation Combination Probability Trees Conditional probability Independent Events Listing Strategies Product Rule Developing Algebra Manipulating expressions Understand difference between expressions, identities and equations More quadratic equations Linear and non-linear inequalities Quadratic simultaneous equations Linear and non-linear sequences Recurring decimals Proportional Reasoning Review of KS 3 ratio Expressing variables in direct and inverse proportion Graphs of variables in direct and inverse proportion Pythag and trig review Sine and Cosine rule Using pythag in 3 D Trig graphs Using trig ratios in 3 D Vectors and FDP review Column vector notation Translation Reflection Transformations recap Vector arithmetic Resultant Vectors Parallel vectors Vector Proof FDP review Compound measures Representing Algebraic Functions Linear functions review Parallel and perpendicular lines Function notation Inverse and composite functions Transformations of functions Cubic graphs Reciprocal graphs Exponential graphs Equation of a circle Finding the equation of a tangent to a circle Y 11 Working with number and Geometric Reasoning Review of indices and surds Problem solving with indices and surds Calculating with standard form Recap of triangle constructions Constructions for GCSE Problem solving with constructions and loci Algebraic and geometric proof Statistics and Algebra Sampling Box Plots Cumulative Frequency Graphs Histograms Further graph transformations Finding solutions to an equation by an iterative method Finding the area under a curve Estimating the gradient using a tangent Potential for recap on key topics for lower sets? Geometry and Measures of Location Nets of 3 D shapes Surface area Volume of a prism Volume of pyramids, cones and spheres Finding the mean, median and mode for grouped data

Foundation Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2 Y 7 Number Sense 1 – Adding and Subtracting - Place Value, number sense - Adding and subtracting - Rounding and estimating - Perimeter - Multiples Number Sense 2 – Multiplying and Dividing - Positive and negative numbers - Multiplying and dividing - Squares and Cubes - Order of Operations - Area - Mean - Factors Algebraic Expressions - Algebraic vocabulary - Forming expressions - Simplifying expressions - Substituting into expressions Linear sequences Fractions - Equivalent fractions - Compare and order fractions and decimals - Change mixed numbers to improper fractions and vice versa - Fraction of a quantity - Multiply and divide fractions - Adding and subtracting fractions Ratio and Proportion Summer 2 on new - Ratio notation - Relationship between ratio and fractions - Working with ratios and quantities - FDP - % of an amount - % increase/decrease Angles - Draw and Measure Angles - Find unknown angles - Angles in parallel lines - Properties of 2 D shapes - Symmetry and Reflection Y 8 Equations and Inequalities - Forming Equations - Solving equations - Changing the subject - Language and symbols of inequalities - Inequalities and number lines - Forming and solving inequalities Graphs - Plotting coordinates - Midpoints and Lines - Equation of horizontal and vertical lines - Plotting straight lines - Finding gradients and intercepts - Finding the equation of a line Proportional Reasoning - Conversions - Scales and reading maps - Read and interpret real life graphs - Direct Proportion - Inverse Proportion - Similarity - Representing proportional relationships algebraically Representations and reasoning with data - Construct and interpret charts and graphs - Mean, mode, median and range - Scatter graphs - Correlation and lines of best fit Angles - Parallel Lines - Interior and exterior angles in polygons - Problem solving with angles in polygons - Calculate and measure bearings Area, Volume - Area of circles and composite shapes - Circumference of circles and composite shapes - Find volume of prisms - Changing between units of volume Y 9 Probability - Converting between fractions, decimals and percentages - Theoretical and experimental probability - Probability of single events - Combined events - Venn diagrams - Sample spaces - Two way tables Quadratics - Creating quadratic expressions - Expanding and factorising binomials - Plotting quadratic graphs - Solving quadratic equations Geometry of Triangles - Construction of triangles with protractor and ruler - Construction of triangles wit protractor and compass - Congruence - Pythagoras’ Theorem Reasoning with number - Product of prime factors - LCM and HCF - Index notation and rules - Comparing and ordering numbers in standard form - Calculating in standard form - Writing quantities as percentages Simultaneous Equations - Solving linear equations - Changing the subject of an equation - Setting up simultaneous equations - Finding solutions to simultaneous equations graphically - Using algebraic methods to solve simultaneous equations Ratio and Proportion - Similarity and enlargement - Compound Measures - Ratio problem solving - Fractions of amounts - Calculating with fractions - Percentage increase and decrease Y 10 Angles and Probability - Angles in parallel lines - Angles in polygons - Expectation - Combination - Probability Trees - Independent Events - Listing Strategies Developing Algebra - Manipulating expressions - Understand difference between expressions, identities and equations - Quadratic expressions and equations - Linear and non-linear sequences - Inequalities Proportional Reasoning - Review of KS 3 ratio - Direct Proportion - Inverse proportion - Percentage change - Compound interest - Reverse percentages - Compound measures Vectors and FDP review - Column vector notation - Translation - Reflection - Rotation - Reflection - Vector arithmetic - FDP review Number - Number properties - Codes - Estimating - Order of Operations - Money problems Geometry and Measures of Location - Nets of 3 D shapes - Surface area - Volume of a prism - Volume of pyramids, cones and spheres - Finding the mean, median and mode for grouped data Y 11 Working with number and Geometric Reasoning - Calculate exactly - Limits of accuracy - Calculating with standard form - Recap of triangle constructions - Constructions for GCSE - Problem solving with constructions and loci - Trigonometry Statistics and Algebra - Evaluating graphs - Comparing data - Probability - Plotting linear graphs - Parallel lines - Equation of a line - Real life graphs