Students should learn/discover 1 .Find Gradient of a line from a diagram or by using a formula for m 2. Find the Equation of a line : Y= mx + c 3. Find the Equation of a PARALLEL Line 4. Find the Equation of a PERPENDICULAR line 5. Divide a line segment into a given ratio and calculate coordinates Then use these skills A-G to do the PROBLEM SOLVING Questions Calculate the Equation of the Tangent of a circle, many applicational /contextual problems involving gradients and equation of a line for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets includes Formulae The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

(Check out previous 1-4 in the series too) Students should learn/discover 1 .Area of Compound Shape 2. Subtract Algebraic Expressions 3. Expand and simplify double brackets 4. Solve the quadratic equation Then use these skills A-D to do the PROBLEM SOLVING Questions Algebra and compound shape- form and solve a quadratic equation for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets ( Qn 5 is on sheet 1 and qn 4 on sheet 2 on the answers page but the order is correct on the student sheet The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

(Check out previous 1-4 in the series too) Students should learn/discover 1 .Area of Compound Shape 2. Subtract Algebraic Expressions 3. Expand and simplify double brackets 4. Solve the quadratic equation Then use these skills A-D to do the PROBLEM SOLVING Questions Algebra and compound shape- form and solve a quadratic equation for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets ( Qn 5 is on sheet 1 and qn 4 on sheet 2 on the answers page but the order is correct on the student sheet The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

[Problem Solving 6 in the Series ( check out 1-5)] Students should learn/discover 1 .Solve a quadratic equation by ( factorising, formula or completing the square) 2. Find the coordinates where line crosses the y-axis or x-axis 3. Re-write expression using completing the square and find turning points 4. Expand from completing the square to get an equivalent expression 5. From roots of the quadratic equations find the factors and expand expression. Then use these skills A-E to do the PROBLEM SOLVING Questions on Algebra Find the y-intercept , x -intercept and turning points on quadratic graph Find the equation of the quadratic graph from sketch and factors and find the turning point Find the equation of the curve from the turning point and find roots. A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

Students should learn/discover 1 .Area of Compound Shape 2. Subtract Algebraic Expressions 3. Expand and simplify double brackets 4. Solve the quadratic equation Then use these skills A-D to do the PROBLEM SOLVING Questions Algebra and compound shape- form and solve a quadratic equation for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets ( Qn 5 is on sheet 1 and qn 4 on sheet 2 on the answers page but the order is correct on the student sheet The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

[Problem Solving 6 in the Series ( check out 1-5)] Students should learn/discover 1 .Solve a quadratic equation by ( factorising, formula or completing the square) 2. Find the coordinates where line crosses the y-axis or x-axis 3. Re-write expression using completing the square and find turning points 4. Expand from completing the square to get an equivalent expression 5. From roots of the quadratic equations find the factors and expand expression. Then use these skills A-E to do the PROBLEM SOLVING Questions on Algebra Find the y-intercept , x -intercept and turning points on quadratic graph Find the equation of the quadratic graph from sketch and factors and find the turning point Find the equation of the curve from the turning point and find roots. A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

[Problem Solving 6 in the Series ( check out 1-5)] Students should learn/discover 1 .Solve a quadratic equation by ( factorising, formula or completing the square) 2. Find the coordinates where line crosses the y-axis or x-axis 3. Re-write expression using completing the square and find turning points 4. Expand from completing the square to get an equivalent expression 5. From roots of the quadratic equations find the factors and expand expression. Then use these skills A-E to do the PROBLEM SOLVING Questions on Algebra Find the y-intercept , x -intercept and turning points on quadratic graph Find the equation of the quadratic graph from sketch and factors and find the turning point Find the equation of the curve from the turning point and find roots. A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

New 9-1 Maths Foundation Non-Calculator Exam Paper Grades 4-5 target Mark-scheme included...

[Problem Solving 7 in the Series ( check out 1-6)] Students should learn/discover 1 . Learn Circle theorem regarding Cyclic Quadrilateral 2. Solve Linear Equations 3. Solve Simultaneous Equations Then use these skills A-C to do the PROBLEM SOLVING Questions on Geometry and Algebra A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...

Topics Include 1 . Volume of Cone 2. Calculate lengths using Similarity 3. Volume of Frustrum (2nd of the series of 8 -AO2 resource)

Topics Include 1 . Volume of Cone 2. Calculate lengths using Similarity 3. Volume of Frustrum (2nd of the series of 8 -AO2 resource)

Topics Include 1 . Pythagoras Theorem 2. Find the length of line segment using Pythagoras Theorem 3. 3D Pythagoras 4. Find the height and volume of Pyramid 5. Expanding Brackets 6. Solve linear Equations 7. Solve Quadratic Equations 8. Area of rectangle 9. Area of circle (3rd of the series of 8 -AO2 resource)

Topics Include 1 . Area of Sector 2. Area of Triangle including 1/2 ab Sin C 3. Area of Segment 4. Find the Angle using Cosine Rule ( 1st of the series of AO2 resource)

Topics Include 1 . Calculate the area of the compound shape 2. Subtract expressions and collect like terms 3. Solve quadratic equations 4. Expand brackets 5. Algebraic Proofs 6.Area of Square 7. Form Equations (5th of the series of 8 -AO2 resource)

Topics Include 1 . Area of Sector 2. Area of Triangle including 1/2 ab Sin C 3. Area of Segment 4. Find the Angle using Cosine Rule ( 1st of the series of AO2 resource)

Topics Include 1 . Finding the Gradient of the Line 2. Find the Equation of the Line Y=mx+ c 3. Equation of Parallel Line 4. Equation of Perpendicular Line 5. Circle Theorem- Radius and Tangent 6.Equation of Tangent of a circle 7. Divide line segment into ratio 8. Velocity and time graphs and estimating acceleration using gradients of tangents on graph 9. Applying y=mx+c to real context. (4th of the series of 8 -AO2 resource)

Topics Include 1 .Solving Quadratic Equation 2. Finding where lines cross x-axis and y-axis 3. Completing the square to get turning points 4. Sketching quadratic graphs and getting the feature points( roots, y-intercept and turning - point) 5. From completing the square to work out the equation of the curve 6. From the roots to work out the equation of the curve (6th of the series of 8 -AO2 resource)

Topics Include 1 .Solving Quadratic Equation 2. Finding where lines cross x-axis and y-axis 3. Completing the square to get turning points 4. Sketching quadratic graphs and getting the feature points( roots, y-intercept and turning - point) 5. From completing the square to work out the equation of the curve 6. From the roots to work out the equation of the curve (6th of the series of 8 -AO2 resource)

Topics Include 1 .Solving Quadratic Equation 2. Finding where lines cross x-axis and y-axis 3. Completing the square to get turning points 4. Sketching quadratic graphs and getting the feature points( roots, y-intercept and turning - point) 5. From completing the square to work out the equation of the curve 6. From the roots to work out the equation of the curve (6th of the series of 8 -AO2 resource)

Topics Include 1 .Circle Theorem - Opposite angles of cyclic quadrilateral are supplementary angles 2. Solve Linear Equations 3. Solve Simultaneous Equations (7th of the series of 8 -AO2 resource)