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New 9-1 Maths GCSE Problem Solving 3 - Geometry Questions - Grades 5-9

New 9-1 Maths GCSE Problem Solving 3 - Geometry Questions - Grades 5-9

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...
Kazmo1429
New 9-1 Maths GCSE Problem Solving 3 - Geometry Questions - Grades 5-9

New 9-1 Maths GCSE Problem Solving 3 - Geometry Questions - Grades 5-9

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...
Kazmo1429
GCSE 9-1 Exam Question Practice (Pythagoras)

GCSE 9-1 Exam Question Practice (Pythagoras)

This download contains several 'standard' questions on Pythagoras and then some tougher ones, leading to a nice algebraic one at the end. There are fully-worked solutions for students to follow, which means that less time is needed for feedback in class. [CLICK HERE] to see a list of the other available topic booklets. They are great for independent study, for a homework, or for working together in class.
Maths4Everyone
GCSE 9-1 Exam Question Practice (3D Trigonometry)

GCSE 9-1 Exam Question Practice (3D Trigonometry)

This download has a great selection of exam questions on 3D Trigonometry and covers the full range of skills expected at GCSE. There are Full Colour, fully-worked solutions for students to follow, which means that less time is needed in class for feedback. [CLICK HERE] to see a list of the other topics available. These topic booklets are great for independent study, for a homework , or for working together in class.
Maths4Everyone
GCSE Maths Pythagoras theorem lesson. Workbook with answers.

GCSE Maths Pythagoras theorem lesson. Workbook with answers.

This is a lesson designed to familiarize learners with the basics of Pythagoras. Includes a basic PPT with questions and examples and a work-pack all answers are on the PPT. Challenge questions included and a pairs matching activity for further consolidation. Learning objectives are: Identify the hypotenuse State Pythagoras theorem Calculate a missing side on a right angled triangle using Pythagoras theorem Apply the rules of Pythagoras to solve problems Please see my other resources in my shop letsgetfunctional for more GCSE and functional skills maths resources for £3 a lesson.
jonesk5
Pythagoras' Theorem - Solving Complex Problems

Pythagoras' Theorem - Solving Complex Problems

Students learn how to use Pythagoras' Theorem to calculate unknown lengths in a range of problems involving right-angled triangles. As learning progresses this is linked to finding the area and perimeter of composite shapes. At the start of the lesson students find the perimeter of a quadrilateral plotted on Cartesian axes by calculating the hypotenuse length between the vertices. In the plenary they are challenged to calculate the perpendicular height of a triangle whose vertices form the center of three identical circles. Differentiated Learning Objectives All students should be able to calculate the length between two coordinate pairs.Most students should be able to use Pythagoras’ Theorem to solve problems involving right-angled triangles. Some students should be able to calculate the longest diagonal in a cuboid. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.
Mr_Mathematics
Theorem of Pythagoras

Theorem of Pythagoras

A set of eleven lessons (80 slides) which could be used individually or as introductions to textbook exercises. Pupils who have been absent from school and need to catch up with work would find these useful. Alternatively they could be used for revision or for class notes
dmartin55
Introduction to Pythagorus ( Discovery + Skills based)

Introduction to Pythagorus ( Discovery + Skills based)

Introduction to Pythagorus Lesson aimed at low ability KS4 Class, Used for Observation and feedback was very positive. Would be great as introduction to KS3 classes too. Includes measuring task starter - to get students to discover the 'HYPOTENUSE' . Learning ladder to show pupils where they need to get too- all exam questions (and for pupils to try at the end of the lesson to see how far they have got!) Another discovery task where students measure triangles and square numbers and see if they can spot a connection between a squared, b squared and c squared. Some students need a bit of hint but most spot the connection. Introduction to the 'theorem' and a bit of history on Pythagoras to engage students. Examples on how to work out a questions, using 'boxes' and without boxes. Questions for pupils to try with answers. Back to the Learning ladder for pupils to now try questions they didn't know how to start early. Quick quiz at the end based on key facts about Pythagoras and his theorem. Pupils really enjoyed this lesson and loved the practical measuring tasks and it seemed to help them understand the next steps clearly !
stefmathssparkle
Finding any length of a Right-Angled Triangle

Finding any length of a Right-Angled Triangle

Key stage 3 mathematics for using Pythagoras' Theorem to calculate any length of a right-angled triangle. Learning progresses from working with Pythagorean Triples to calculating the area of a right-angled isosceles triangle when only the hypotenuse is given. At the start of the lesson students attempt to find the difference of two hypotenuse lengths in a composite shape. The plenary challenges students to apply Pythagoras' Theorem to a complex shape made from two triangles. Differentiated Learning Objectives All students should be able to calculate a smaller side of a Pythagorean Triple Most students should be able to calculate any side of a right-angled triangle using Pythagoras’ Theorem Some students should be able to apply Pythagoras’ Theorem to composite triangular shapes. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.
Mr_Mathematics
Calculating the Hypotenuse in a right-angled triangle

Calculating the Hypotenuse in a right-angled triangle

Students learn about calculating the hypotenuse in a right-angled triangle using Pythagoras' Theorem. Using Pythagorean Triples students calculate the area of the square attached to each edge of a triangle to discover the relationship between the sides. At the start of the lesson students recap working with order of operations, squares and square roots. The plenary challenges students to apply Pythagoras' Theorem to test whether a triangle is a right-angle or not. Differentiated Learning Objectives All students should be able to calculate the squared area of each edge of a right-angled triangle. Most students should be able to calculate the hypotenuse length of a right-angled triangle. Some students should be able to use Pythagoras’ Theorem to determine whether a triangle has a right-angle. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.
Mr_Mathematics
Geometry: Surface Area 2 - Surface Area of Pyramids (+ resources)

Geometry: Surface Area 2 - Surface Area of Pyramids (+ resources)

This is a whole lesson looking at surface areas of pyramids. (15 slides). This is part of four lesson series that I teach on surface area, which is one of the new focuses for the new 9-1 GCSE. The lesson includes: + Starter challenging pupils to think about what questions could be asking + Learning objectives and Key Words + MWB activity to judge (remind) pupils of Pythagoras + 2 excellent and well animated examples (they are very thorough !!) + TIP (to avoid a common mistake) + WORKSHEET + ANSWERS + basic plenary (the worksheet is time consuming, so normally not enough time to do a longer plenary) + ALSO 2 handouts with all the formula's NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.
ajf43