New 9-1 Maths GCSE Problem Solving Question : Geometry - Grades 7-9 1. Student worksheet : requires students to research different Skills and use the learning to answer the problem solving question using the skills learnt. The teacher role is just of a prompter.. 2.Teacher Guidance Worksheet The lesson starter independently conducted by students. It can be adapted and used for one-one activity, paired or group work....By the end of the lessons students should have learn't the following skills and use them for problem solving questions... : 1. Area of Sector 2. Area of Triangle 3. Finding an angle using Cosine Rule and using all/some of the skills to answer the 4. Area of the Segment How to allow students to combine the skills they learn't to do a multi-stage question... (Please kindly give constructive feedback...I have used it with my students and has worked very well but I would like to know if it helps other teachers...) Attached are; 1 . Student Discovery Sheet PDF 2. Teacher Guidance Sheet PDF 3. Two Answers Sheets -PDF

9-1 Maths Gcse Ratio and Problem Solving Questions- Answers to Follow

1. A student sheet has no formulae as they have to discover these themselves.... They may use textbooks, on-line resources , their exercise books etc... 2. A teacher Guidance sheet includes Formulae 3. An Answer Sheet also included for teachers Students should learn/discover 1 . How to Calculate Volume of Cone 2. Use similarity to calculate lengths of shapes. Then use these two skills to do the PROBLEM SOLVING Question Calculate the Volume of the Frustum of the cone..... 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 Lesson 1. Area of Sector 2. Area of Triangle 3. Finding an angle using Cosine Rule and using all/some of the skills to answer the 4. Area of the Segment The worksheet requires students to research different Skills and use the learning to answer the problem solving question using the skills learnt. The teacher role is just of a prompter...All the lesson is independently conducted by students. It can be adapted and used for one-one activity, paired or group work....By the end of the lessons students should have learn't the following skills and use them for problem solving questions... : 1. Area of Sector 2. Area of Triangle 3. Finding an angle using Cosine Rule and using all/some of the skills to answer the 4. Area of the Segment How to allow students to combine the skills they learn't to do a multi-stage question... (Please kindly give constructive feedback...I have used it with my students and has worked very well but I would like to know if it helps other teachers...) Attached are; 1 . Question Sheet PDF 2. Two Answers Sheets -PDF

Students should learn/discover 1 .How to use Pythagoras Theorem in Problem Solving situations 2. Expanding Brackets 3. Collecting like terms 4. Solve Linear Equations 5. Solve Quadratic Equations Then use these skills 1-5 to do the PROBLEM SOLVING Questions Calculate the Longest length in a cuboid, Height and Volume of Pyramid and solve problems involving touching circles 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 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...

1. A student sheet has no formulae as they have to discover these themselves.... They may use textbooks, on-line resources , their exercise books etc... 2. A teacher Guidance sheet includes Formulae 3. An Answer Sheet also included for teachers Students should learn/discover 1 . How to Calculate Volume of Cone 2. Use similarity to calculate lengths of shapes. Then use these two skills to do the PROBLEM SOLVING Question Calculate the Volume of the Frustum of the cone..... 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...

1. A student sheet has no formulae as they have to discover these themselves.... They may use textbooks, on-line resources , their exercise books etc... 2. A teacher Guidance sheet includes Formulae 3. An Answer Sheet also included for teachers Students should learn/discover 1 . How to Calculate Volume of Cone 2. Use similarity to calculate lengths of shapes. Then use these two skills to do the PROBLEM SOLVING Question Calculate the Volume of the Frustum of the cone..... 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 .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...

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...

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...

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...

[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...

[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...

[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...