Year 11 Scheme of Learning Foundation Higher Assessment Schedule

Revision Mocks 22.Right Angled Triangles Mocks Mocks SUMMER Review Foundation – Year 11 24 Jun 1 Jul 8 Jul 15 Jul 22 Jul 2 Sep Algebra Recap and Review 21. Number and Sequences Year 10 Exams SUMMER 9 Sep 16 Sep 23 Sep 30 Sep 7 Oct 14 Oct 21 Oct 28 Oct 22.Right Angled Triangles 22.Right Angled Triangles 23.Congruence and Similarity HALF TERM Assess and Review 4 Nov 11 Nov 18 Nov 25 Nov 2 Dec 9 Dec 16 Dec 23 Dec 24.Combined Events Mocks 24.Powers and Standard Form Revision XMAS 6 Jan 13 Jan 20 Jan 27 Jan 3 Feb 10 Feb 17 Feb 24 Feb 25.Powers and Standard Form HALF TERM Review 26.Simultaneous Equations and Linear Inequalities Mocks 2 Mar 9 Mar 16 Mar 23 Mar 30 Mar 6 Apr 13 Apr 20 Apr Mocks 27. Non Linear Graphs Review EASTER Revision 27 Apr 4 May 11 May 18 May 25 May 1 Jun 8 Jun 15 Jun Revision HALF TERM

23.Graphs Revision Mocks 21.Variation 23.Graphs Mocks Mocks SUMMER Higher – Year 11 24 Jun 1 Jul 8 Jul 15 Jul 22 Jul 2 Sep 20.Properties Of Circles Algebra Recap and Review Year 10 Exams SUMMER 9 Sep 16 Sep 23 Sep 30 Sep 7 Oct 14 Oct 21 Oct 28 Oct Assess and Review 22. Triangles 22. Triangles HALF TERM 21.Variation 23.Graphs 4 Nov 11 Nov 18 Nov 25 Nov 2 Dec 9 Dec 16 Dec 23 Dec 23.Graphs Mocks Revision XMAS 6 Jan 13 Jan 20 Jan 27 Jan 3 Feb 10 Feb 17 Feb 24 Feb Mocks 24.Algebraic fractions And Functions Assess and Review 24.Algebraic fractions And Functions HALF TERM Review 2 Mar 9 Mar 16 Mar 23 Mar 30 Mar 6 Apr 13 Apr 20 Apr Mocks 25.Vector Geometry Review Revision Revision EASTER 27 Apr 4 May 11 May 18 May 25 May 1 Jun 8 Jun 15 Jun Revision HALF TERM

(see calendar for assessment dates) Assessment Schedule (see calendar for assessment dates)

COMMON MISCONCEPTIONS: CONTENT RESOURCES 20.Properties of Circles PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Know that the sums of the interior angles of a triangle and a quadrilateral are 180o and 360o, respectively. Understand the properties of angles formed by a tranversal across parallel lines. Know the correct terms for the parts of a circle and be able to recognise and identify them. OBJECTIVES: Work out the size of angles in circles. Find the size of angles in cyclic quadrilaterals. Use tangents and chords to find the size of angles in circles. Use the alternate segment theorem to find the size of angles in circles. NOTES: KEYWORDS: Chord Tangent Subtend Cyclic quadrilateral Alternate segment COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 21.Variation PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Know the squares of integers from 1 to 15 and their corresponding roots. Be able to solve simple linear equations. Know the cubes of integers from 1 to 5 and 10 and their corresponding roots. Be able to plot graphs from a table of values. Be able to substitute values into algebraic expressions and evaluate them. OBJECTIVES: Solve problems where two variables have a directly proportional relationship. Work out the constant of proportionality. Solve problems where two variables have an inversely proportional relationship. Work out the constant of proportionality NOTES: KEYWORDS: Directly proportional Inversely proportional Constant of proportionality COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 22.Triangles PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Understand and be able to use Pythagoras’ theorem. Be able to use trigonometry to calculate missing sides and angles in right-angled triangles. OBJECTIVES: Use trigonometric ratios and Pythagoras’ theorem to solve more complex two-dimensional problems. Find the sine, cosine and tangent of any angle from 0° to 360°. Use the sine rule and the cosine rule to find sides and angles in any triangle. Work out the area of a triangle if you know two sides and the included angle. NOTES: KEYWORDS: Opposite, adjacent and hypotenuse Pythagoras Sine, cosine and tangent Sine rule Cosine rule COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 23.Graphs PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Understand how speed, distance and time are related. Be able to use the gradient-intercept method to find the equation of a graph. Be able to translate and reflect a shape. How to draw linear and quadratic graphs. Be able to find the equation of a line perpendicular to a given line. How to find the gradient of a line. Understand that a tangent and a radius that meet at a point are perpendicular to each other. OBJECTIVES: Interpret distance–time graphs and draw a graph of the depth of liquid as a container is filled. Read information from a velocity–time graph. Work out the distance travelled from a velocity–time graph. Work out the acceleration from a velocity–time graph. Use areas of rectangles, triangles and trapeziums to estimate the area under a curve. Interpret the meaning of the area under a curve. Draw a tangent at a point on a curve and use it to work out the gradient at a point on a curve Interpret the gradient at a point on a curve. Find the equation of a tangent to a circle. Recognise and plot cubic, exponential and reciprocal graphs. Transform a graph. Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion. Interpret the gradient at a point as the instantaneous rate of change; apply the concepts of average and instantaneous rates of change. NOTES: KEYWORDS: Distance-time graph Velocity-time graph Area of a trapezium Gradient of a tangent Equation of a tangent Cubic, exponential and reciprocal graphs COMMON MISCONCEPTIONS:

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24.Algebraic Fractions and Functions CONTENT RESOURCES 24.Algebraic Fractions and Functions PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Be able to substitute values into an algebraic expression and evaluate it. Be able to factorise linear and quadratic expressions. Be able to expand a pair of linear brackets to get a quadratic expression / equation. OBJECTIVES: Simplify algebraic fractions Solve equations containing algebraic fractions. Change the subject of a formula where the subject occurs more than once. Find the output of a function and find the inverse function. Find the composite of two functions. Find an approximate solution for an equation using the process of iteration. NOTES: KEYWORDS: Algebraic fraction Change the subject Function, inverse function, composite function Iteration COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 25.Vector Geometry PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Be able to use a column vector to translate a shape. Know and understand basic algebraic conventions (collecting like terms, factorising linear expressions, expanding brackets). Understand basic properties of shapes. OBJECTIVES: Add and subtract vectors. Use vectors to solve geometric problems. NOTES: KEYWORDS: Vector Parallel Colinear COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 21.Number and Sequences PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Substitute values into algebraic expressions and evaluate them. State, in words, a term-to-term rule for a simple linear sequence. Be able to find the next term in a simple linear sequence. OBJECTIVES: recognise patterns in number sequences. recognise how number sequences are built up generate sequences, given the nth term. find the nth term of a linear sequence. recognise and continue some special number sequences understand how prime, odd and even numbers interact in addition, subtraction and multiplication problems. find the nth term from practical problems involving sequences. Fibonacci type sequences, quadratic sequences and simple geometric progressions. NOTES: KEYWORDS: Number sequence n th term Linear sequence Prime, odd and even COMMON MISCONCEPTIONS:

CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES: PROBLEM SOLVING: Sequences Lesson Including Challenges

22.Right – Angled Triangles CONTENT RESOURCES 22.Right – Angled Triangles PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Calculate the square and square root of a number. Solve two-step linear equations. Correct use of a calculator. OBJECTIVES: Know what Pythagoras' theorem is calculate the length of the hypotenuse in a right-angled triangle. calculate the length of a shorter side in a right-angled triangle. Solve problems using Pythagoras’ theorem. use Pythagoras’ theorem in isosceles triangles. define, understand and use the three trigonometric ratios. use trigonometric ratios to calculate a length in a right-angled triangle. use the trigonometric ratios to calculate an angle. work out and remember trigonometric values for angles of 30°, 45°, 60° and 90°. solve practical problems using trigonometry solve problems using an angle of elevation or an angle of depression. solve bearing problems using trigonometry. use trigonometry to solve problems involving isosceles triangles. NOTES: KEYWORDS: Opposite, adjacent and hypotenuse Pythagoras Sine, cosine and tangent Exact values Angles of elevation and depression Bearings COMMON MISCONCEPTIONS:

CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES: PROBLEM SOLVING: Pythag intro Have I Got Hypotenuse For You Pythagoras and Trigonometry functional starter Park Problem Treasure Hunt Pile Up Pythagoras-problem-solving-A3

23.Congruence and Similarity CONTENT RESOURCES 23.Congruence and Similarity PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study How to enlarge a shape by a given scale factor. How to solve equations involving fractions. OBJECTIVES: demonstrate that two triangles are congruent. recognise similarity in any two shapes show that two shapes are similar work out the scale factor between similar shapes. Compare lengths, areas and volumes using ratio notation; make links to similarity and scale factors. NOTES: KEYWORDS: Similar shapes, similarity Congruent Scale factor COMMON MISCONCEPTIONS:

Tarsia puzzle Non calculator standard form calculations CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES: PROBLEM SOLVING: Tarsia puzzle Non calculator standard form calculations

COMMON MISCONCEPTIONS: CONTENT RESOURCES 24.Combined Events PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Understand that probabilities can be expressed as fractions, decimals or percentages. Evaluate the probability of single events. Understand how to use theoretical or experimental models to work out the probabilities of outcomes of events OBJECTIVES: work out the probabilities when two or more events occur at the same time. read two-way tables and use them to work out probabilities. use Venn diagrams to solve probability questions. understand frequency tree diagrams and probability tree diagrams use probability tree diagrams to work out the probabilities involved in combined events. NOTES: KEYWORDS: Event Two way table Venn diagram Tree diagram Combined events COMMON MISCONCEPTIONS:

Foundation CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES: PROBLEM SOLVING: Standards Box: S7 Developing an exam question, probability

25.Powers and Standard Form CONTENT RESOURCES 25.Powers and Standard Form PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Understand place value. How to square a number. OBJECTIVES: write a number as a power of another number use powers (also known as indices) multiply and divide by powers of 10. use rules for multiplying and dividing powers write a number in standard form calculate with numbers in standard form. multiply and divide numbers by powers of 10. NOTES: KEYWORDS: Power, Indices Standard form COMMON MISCONCEPTIONS:

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26.Simultaneous Equations and Linear Inequalities CONTENT RESOURCES 26.Simultaneous Equations and Linear Inequalities PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Understand basic algebraic conventions. Recognise and understand inequality symbols (<, >, ≤, ≥). Be able to solve one- and two-step linear equations. Substitute values into expressions / formulae and evaluate them. OBJECTIVES: solve simultaneous linear equations in two variables using the elimination method. solve simultaneous linear equations in two variables using the substitution method. solve simultaneous linear equations by balancing coefficients. solve problems using simultaneous linear equations. solve a simple linear inequality and represent it on a number line. NOTES: KEYWORDS: Simultaneous linear equation Elimination Substitution Balancing Linear inequality COMMON MISCONCEPTIONS:

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COMMON MISCONCEPTIONS: CONTENT RESOURCES 27.Non – Linear Graphs PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study Substitute values into simple algebraic functions. Solve simple linear equations. How to collect like terms. How to draw linear graphs. How to multiply together two algebraic terms. Be able to plot coordinates in all four quadrants. OBJECTIVES: interpret distance–time graphs draw a graph of the depth of liquid as a container is filled. read information from a velocity-time graph work out the acceleration from a velocity-time graph draw and read values from quadratic graphs. solve a quadratic equation by factorisation. identify the significant points of a quadratic function graphically work out the equation of a line, using its gradient and y-intercept (Moved from year 9) work out the equation of a line given two points on the line. (Moved from year 9) work out the equation of a linear graph that is parallel or perpendicular to another line and passes through a specific point. (moved from year 9) Interpret the gradient of a straight line graph as a rate of change, and recognise and interpret graphs that illustrate direct and inverse proportion. NOTES: KEYWORDS: Distance-time graph Velocity-time graph Acceleration Quadatic graph Factorise Significant points COMMON MISCONCEPTIONS:

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