S2 (2.4) L2 3D Shapes.notebook October 01, 2014

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1 Daily Practice Q x 50 Q2. Simplify the ratio 14:35 Q3. Calculate the mean and range of 7, 8, 4, 5, 3, 9 Today we are going to be learning about 3D shapes and their properties. Q4. What type of angle is 89 0? Q5. Round to 1 decimal place Describing a 3D shape using its properties Edge Vertex (Corner) Vertices (plural) Face Q x 60 Daily Practice Q2. Round 81.3 to the nearest unit Describing a 3D shape using its properties Task: Glue each of the shapes into your jotter and use the words vertices, faces and edges to describe each shape. Q3. Find the size of x x Q4. Simplify the ratio 18:24 Q5. How many lines of symmetry does a rectangle have? Example: Triangular based pyramid Properties 4 vertices 4 faces all triangular in shape 6 edges

2 Daily Practice Q1. Round 81.9 to the nearest unit Q x 500 Q Q (-4) Q5. How many lines of symmetry does a isosceles triangle have? Today we will be learning about the nets of 3D shapes and completing the properties. Homework Due Tomorrow!!

3 Today we will be building 3D shapes using their nets Nets of shapes Which can make a cube? The net of a shape is what the shape would look like if you unfolded it and flattened it out. Name these 3D shapes Daily Practice Mental Maths 20 Questions Can you draw nets for the above shapes?

4 What is the shape belonging to each net? Today we will be learning to build shapes given their net. Homework Due!! Building shapes given their net Daily Practice Q1. Round to the nearest thousand Q2. Solve for p when 2p - 7 = 23 Q3. How many edges does a cuboid have? Q4. Calculate the area of a triangle with breadth 5cm and length 7cm Q5. (729 9) x 8 Surface Area of cubes The surface area of a 3D shape is the area of each of its faces added together. Today we will be learning how to calculate the surface area of a shape. Example:

5 Surface Area of a cube Questions: Calculate the total surface area of the following cm Surface Area of a cuboid Draw the net of the shape to help 2cm 7cm 4cm Daily Practice Questions Mental Maths Today we will be calculating surface area of cuboids. Surface Area of a cuboid 9cm 10cm Surface Area of a cuboid Questions: By drawing the nets or otherwise. Calculate the total surface area of the following cm 4cm 4cm 5cm 7cm 8cm 7cm

6 Daily Practice Q1. Round to the nearest unit Q x 90 Q3. Solve 3x - 1 = 20 Today we will be learning about volume Q4. How many vertices does a triangular prism have? Q (-4) Volume The Volume of a shape is the amount of 3 Dimensional space it takes up. Volume is measured in mm 3, cm 3 and m 3 The volume of a cube/cuboid: Volume = Length x Breadth x Height Volume Examples: Calculate the volume of these shapes cm 5cm 9cm H L B Daily Practice Q1. Round to the nearest thousand Q2. Solve 2x + 4 = 10 Q3. Simplify 3y + 2x + 6y + 5x + y Today we will be learning to calculate the volume of composite shapes. Homework Online due Friday Q4. Find the surface area of a cube with a side of length 5cm Q5. State the rule for the table shown W X

7 Volume of composite shapes A composite shape is a shape made of one or more shapes. Remember to split your shape up. Example: Caluclate the volume of this shape 2cm 9cm 15cm 5cm 6cm Daily Practice Q1. Round to the nearest unit Q2. Find 50% of 271 Q Q4. Solve 3x - 1 = 32 Today we will be working out how to find the length of a missing side of a shape given its volume. Homework Due Friday!! Q Volume working backwards Examples: 2. Calculate the height of this cuboid if the volume is 5400cm 3 1. Calculate the breadth of this cuboid if the volume is 120cm 3 5cm 30cm 4cm 8cm

8 Daily Practice Questions Mental Maths Today we will be learning about liquid volume Homework Due tomorrow! Liquid Volume Liquid volume as known as capacity. 1cm 3 = 1ml Volume of liquids Liquids are measured using millilitres and litres (Metric) There are millilitres in a litre. Examples: 1. Calculate the capacity of this carton Converting to litres/millitres examples: 1. Convert 5.2 litres to millilitres 2. Convert 2600 milliltires to litres Change to litres cartons measure by 15cm by 7cm. How many millilitres will it hold?

9 Liquid Volume Examples: 2. Calculate the height of this tank if the capacity is 40Litres 1. Lucas, Freya, Regan 2. Harry, Katie, Lisa, Daniel 50cm 20cm 3. Matthew, Caitlin, James 4. Jake, Robyn, Ben, Bobby 5. Hugh, Lucca, Megan, Alex 6. Mairead, Ally, Sukhveer 7. Duncan, Aimee, Sarah Daily Practice Q1. 56 x 800 Q2. Solve for x when 4x - 1 = 27 Q Today we will be completing some questions on capacity and then a check-up on 3D shapes. Q4. Find the size of angle x 51 0 x 0 Homework still owed: Alex, Bobby, Caitlin, Katie, James, Lucca Q x 8 Calculate the capacity of the following 5cm 7cm Calculate the height of the following Capacity = 2.16L 10cm Cube 8cm 20 cm 9 cm h cm

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