High school 3d volume, surface area, density resources

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*MEGA BUNDLE* - All MR A, Mr C & Mr D Resources!

*MEGA BUNDLE* - All MR A, Mr C & Mr D Resources!

MEGA BUNDLE CONTAINS: The Maths Album The Science Album 40 Lyric Reading Comprehensions Slow Writing Year 3 /4 Writing Knowledge Organiser Year 5 / 6 Writing Know ledge Organiser Year 3, 4, 5 and 6 Science Knowledge Organisers KS2 Reading / Home-School Diary Times Table Rock Star Certificates 4 Literacy Songs (Adjectives, Nouns, Adverbs and Punctuation) www.mracdpresent.com

By mracdpresent

Triple Brackets

Triple Brackets

This collection of five worksheets ( complete with answers and working out ) covers the basics of multiplying out triple brackets then moves on to using the results in different situations. Students are eased into the topic with a little revision of the multiplying out that they will already have mastered then there is plenty of practise with progressively harder examples of multiplying out triple brackets including those with repeated factors. The extension sheets include proofs and finding the difference between two expressions ( a challenge in itself to remember to do x³ +3 x² + 3x + 1 )- ( x³ - 3x² + x - 1 ) carefully ! ). Geometric problems involving cube diagrams to illustrate the expansion of ( a + b )³ will provide useful extension work for the brightest GCSE students. Evaluate 1.1³ to show how powers of numbers can be found using expansions. The sheets could be used independently by your brightest y9s and above as they include instructions. For more resources like this please visit the SKILLSHEETS Shop

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GCSE Higher Worksheet: Advanced volume & surface area problems

GCSE Higher Worksheet: Advanced volume & surface area problems

This worksheet is aimed at the new Higher maths specification from 2017 onwards. It consists of three challenging, longer, exam-style exercises based on real-life applications, using formula for cylinders and spheres. The first sheet lists the formula students will need to use. Diagrams, created with Word drawing objects, are used to illustrate all three exercises. Each exercise has multiple parts. To solve the problems the 1st exercise requires additional skills with ratios; the 2nd both simultaneous and quadratic equations (this is hinted at in the question by saying 'Using an algebraic method..'); and the 3rd requiring creation of an equation that links the relative volumes of a cylinder and a hemisphere. Calculation of the surface area of the machine part (see cover image) in Exercise 3 is more complex and challenging than normal, though it is entirely logical. It is not too difficult as long as a methodical approach is taken. This exercise concludes by using density and volume to calculate the mass of zinc required to galvanise a production run of the machine part. There are also various measurement conversions required such as converting cubic millimeters to cubic centimetres and litres, and grams to kilograms. DOCX and PDF worksheets supplied along with 9 pages of fully-worked model answers in JPEG format.

By Kevald

Area and Volume in a Rainbow Task

Area and Volume in a Rainbow Task

I made this task for a year 8 group as a one off lesson to incorporate different skills such as area of a circle, volume and unit conversion. We have area and volume as 'power standards' so we test the students on these topics all year, this was a task I designed for a one off lesson instead of giving them worksheets on volume. It can be modified and scaffolded to suit.

By julierutland

Exploding Shapes

Exploding Shapes

This is designed as a starter, plenary or a discussion exercise. There are four "explosions" to work through and I have given you the choice of the students working out the shapes from the properties or finding the properties given the shape. This moves from triangles and quadrilaterals to polygons to 3D shapes. Some shapes have the same property so link to the same cloud. This has been designed to check understanding and to give some the opportunity to expand on properties. I have not included all properties of all shapes to naturally generate discussion and differentiation.

By alutwyche

Mathematical reasoning bundle

Mathematical reasoning bundle

A collection of "real-life" examples of where we use Maths, providing an opportunity for students to work on problem solving and reasoning skills. Practicing speed, money, time, area, percentages and more! All include answers.

By lam218

Geometry - 2 and 3 Dimensional Figures

Geometry - 2 and 3 Dimensional Figures

2 and 3 Dimensional Figures - 23 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key Use a counterexample to disprove a false conjecture/statement about points, lines or planes. Provide counterexamples in various forms: Diagram/Sketch Verbal/Written Statement Algebraic representation Justify the selection of the counterexample. Use trigonometric ratios to find lengths of sides in order to calculate perimeter and area of triangles, quadrilaterals and other polygons. Use trigonometric ratios to solve mathematical and real life problems involving perimeter and area of triangles, quadrilaterals and other polygons. Use the relationships in special right triangles and the Pythagorean Theorem to help calculate the perimeter and area of triangles, quadrilaterals and other polygons. Use relationships in special right triangles and the Pythagorean Theorem to solve mathematical and real life problems involving triangles, quadrilaterals and other polygons. Convert measurements to a consistent unit of measure both within the same measurement system and between measurement systems. Make algebraic connections between the parts of a regular polygon (apothem, radius, sides) to the area and perimeter. Find area of regular polygons to solve problems, including: Problems to solve for the apothem or radius. Problems involving right triangle relationships (trig ratios, special right or Pythagorean triples or Theorem to solve) Composite figures Identify the 2-D figure created by a cross-section of a 3-D figure. Identify the 3-D object generated by rotations of a two-dimensional shape. Limit to simple 3D shapes (cone, cylinder, sphere) Find the volume in problem situations involving cubes, prisms, pyramids, cylinders, cones, spheres, and composite figures. Determine missing measures (radius, height, etc.) of a 3D figure given its volume and other dimensions or measurements. Choose the appropriate formula(s) or strategy for finding the volume of a 3D figure. Use the Pythagorean Theorem, patterns of special right triangles, and/or properties and attributes of polygons when necessary to find missing measurements needed to solve a volume problem.

By mrsdivadan