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Measurement and areas |
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CONTENTS |
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| Working with measurement and areas |
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Workout |
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39 slides |
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| Measurement and areas |
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Library |
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15 questions |
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The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
| Showing American English version |
SLIDE 1 - TASK 1 |
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SLIDE 2 - SOLUTION |
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SAMPLE FROM THE LIBRARY |
| Showing American English version |
QUESTION [difficulty 0.1] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Ruler
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356.1 |
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Measurement
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356.1 |
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Units of measurement, cm and mm / customary
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356.3 |
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Conversion of units of measurement
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356.3 |
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Measured perimeters
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356.9 |
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Other units of measurement, metres / customary
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357.1 |
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Addition and subtraction of lengths
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357.5 |
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Word problems involving lengths
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357.9 |
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Combinatoric problems involving lengths
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358.1 |
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Area
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358.5 |
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Areas of geometric shapes made from squares
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358.5 |
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Areas of rectangles, integer values
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358.7 |
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Square units
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358.9 |
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Word problems with areas
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359.2 |
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Area of a right angled triangle
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359.4 |
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Division of a rectangle into two triangles
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359.4 |
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Area of composite shapes
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359.6 |
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Construction of whole out of parts
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359.6 |
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Decomposition of complex shapes into parts
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359.8 |
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RAW CONTENT OF THE WORKOUT |
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| What is provided here is the raw text of the workout. Most of the information is contained in the image files, which are not included with this text. The text may appear deceptively short. (The content overall of blacksacademy.net is vast.) Any in-line questions appear as a question mark [?]. This text is provided only as an indication of the overall quantity of material contained in the chapter. To use the material you must sign-in or create an account. |
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Measurement and areas
SLIDE 1
Measure each of these lines to the nearest 1 mm
SLIDE 1 B
Measure each of these lines to the nearest tenth of an inch.
SLIDE 2
SLIDE 3
Write the following measurements in cm and mm
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SLIDE 4
Write the following measurements in cm and mm
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SLIDE 3 B
There are 12 inches (in) in 1 foot (ft).
Write the following measurements in ft and in
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SLIDE 4 B
Write the following measurements in ft and in
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SLIDE 5
Write the following measurements in cm
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SLIDE 6
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SLIDE 5 B
Find how many tenths of an inch are there in
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SLIDE 6 B
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SLIDE 7
Write the following measurements in mm
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SLIDE 8
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SLIDE 7 B
Write the following measurements in inches.
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SLIDE 8 B
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SLIDE 9
Find the perimeter giving your answer in both cm and mm
SLIDE 10
SLIDE 9 B
Find the perimeter of each of the following.
SLIDE 10 B
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SLIDE 11
Write the following measurements in cm
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SLIDE 12
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SLIDE 11 B
There are 3 feet in 1 yard, and 12 inches in 1 foot
Write the following measurements in feet
? Write in feet
? Write in feet
? Write in inches
? Write in inches
SLIDE 12 B
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SLIDE 13
Write the following measurements in m
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SLIDE 14
Write the following measurements in m
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SLIDE 13 B
Write the following measurements in yd ft in
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SLIDE 14 B
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SLIDE 15
? What length in cm do I have to add to 60 cm to make 1 m?
? What length in m do I need to I add to 35 cm to make 1 m?
? What length in cm do I need to add to 2 m 25 cm to make 3 m?
? What length is in cm 15 cm less than 1 m?
? What length in m is 45 cm less than 1 m?
SLIDE 16
? What length in cm do I have to add to 60 cm to make 1 m?
40 cm
? What length in m do I need to I add to 35 cm to make 1 m?
0.65 m
? What length in cm do I need to add to 2 m 25 cm to make 3 m?
75 cm
? What length is in cm 15 cm less than 1 m?
85 cm
? What length in m is 45 cm less than 1 m?
0.55 m
SLIDE 15 B
? What length in inches do I have to add to 27 in to make 4 ft?
? What length in inches do I need to I add to 54 in to make 2 yd?
? What length in inches do I need to add to 2 ft 2 in to make 1 yd?
? What length is in inches 15 in less than 4 ft?
? What length in feet is 24 in less than 2 yd?
SLIDE 16 B
? What length in inches do I have to add to 27 in to make 4 ft?
? What length in inches do I need to I add to 54 in to make 2 yd?
? What length in inches do I need to add to 2 ft 2 in to make 1 yd?
? What length is in inches 15 in less than 4 ft?
? What length in feet is 24 in less than 2 yd?
SLIDE 17
? What is the height of the boxes?
? How much taller is A than B?
SLIDE 18
? Height =
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SLIDE 17 B
? What is the height of the boxes in feet and inches?
? How much taller is A than B in inches?
SLIDE 18 B
? Height =
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SLIDE 19
? Elizabeth is 20 cm taller than Mary. Mary is 1 m 30 cm. How tall is Elizabeth?
? My sofa is 1 m 15 cm long. But Bob’s sofa is twice as long as mine. How long is Bob’s sofa?
? A plank of wood is 2 m 70 cm long. The second plank is half the length of the first. How long is the second plank?
SLIDE 20
? Elizabeth is 20 cm taller than Mary. Mary is 1 m 30 cm. How tall is Elizabeth?
? My sofa is 1 m 15 cm long. But Bob’s sofa is twice as long as mine. How long is Bob’s sofa?
? A plank of wood is 2 m 70 cm long. The second plank is half the length of the first. How long is the second plank?
SLIDE 19 B
? Elizabeth is 8 in taller than Mary. Mary is 5 ft 1 in. How tall is Elizabeth?
? My sofa is 1 yd 6 in long. But Bob’s sofa is twice as long as mine. How long is Bob’s sofa in feet?
? A plank of wood is 2 yd 1 ft 6 in long. The second plank is half the length of the first. How long is the second plank in inches?
SLIDE 20 B
? Elizabeth is 8 in taller than Mary. Mary is 5 ft 1 in. How tall is Elizabeth?
Mary is 5 ft 9 in tall.
? My sofa is 1 yd 6 in long. But Bob’s sofa is twice as long as mine. How long is Bob’s sofa in feet?
1 yd 6 in = 42 in.
? A plank of wood is 2 yd 1 ft 6 in long. The second plank is half the length of the first. How long is the second plank in inches?
2 yd 1 ft 6 in
SLIDE 21
The heights of the building blocks are shown on the diagram.
(a) Using just three blocks you are required to construct a tower of 1.45 m. Which blocks should you use?
(b) Find every possible combination of four blocks that you can use to build the height of 1.45 m.
SLIDE 22
The heights of the building blocks are shown on the diagram.
(a) ? + ? + ?
(b) There are only two combinations of four blocks that add to a height of 1.45 m.
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SLIDE 21B
The heights of the building blocks are shown on the diagram.
(a) Using just three blocks you are required to construct a tower of 145 in. Which blocks should you use?
(b) Find every possible combination of four blocks that you can use to build the height of 145 in.
SLIDE 22 B
The heights of the building blocks are shown on the diagram.
(a) ? + ? + ?
(b) There are only two combinations of four blocks that add to a height of 145 in.
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SLIDE 23
? A toy consists of a truck attached to a trailer. If the truck is 70 cm long and the trailer is 45 cm long, how long is the toy?
? A train comprises an engine coupled to six carriages. If the train is 15 m long and each carriage is 25 m long, how long is the train altogether?
? A low bridge has a height of 3.25 m. If the height of a lorry is 2.83 m, by what distance does the lorry pass under the bridge?
SLIDE 24
? A toy consists of a truck attached to a trailer. If the truck is 70 cm long and the trailer is 45 cm long, how long is the toy?
? A train comprises an engine coupled to six carriages. If the train is 15 m long and each carriage is 25 m long, how long is the train altogether?
? A low bridge has a height of 3.25 m. If the height of a lorry is 2.83 m, by what distance does the lorry pass under the bridge?
SLIDE 23 B
? A toy consists of a truck attached to a trailer. If the truck is 70 in long and the trailer is 45 in long, how long is the toy?
? A train comprises an engine coupled to six carriages. If the train is 15 yd long and each carriage is 25 yd long, how long is the train altogether?
? A low bridge has a height of 3 yd 1 ft. If the height of a lorry is 2 yd 2 ft 6 in, by what distance in inches does the lorry pass under the bridge?
SLIDE 24 b
? A toy consists of a truck attached to a trailer. If the truck is 70 in long and the trailer is 45 in long, how long is the toy?
? A train comprises an engine coupled to six carriages. If the train is 15 yd long and each carriage is 25 yd long, how long is the train altogether?
? A low bridge has a height of 3 yd 1 ft. If the height of a lorry is 2 yd 2 ft 6 in, by what distance in inches does the lorry pass under the bridge?
SLIDE 23
Find the area in squares of each figure.
SLIDE 24
SLIDE 27
Find the length, width and area of each of the rectangles
SLIDE 28
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SLIDE 29
Areas are measured in square units
1 sq cm is also written
1 sq m is also written
Area
SLIDE 29 B
Areas are measured in square units
1 sq in is also written
1 sq ft is also written
Area
SLIDE 30
Find the areas of each of the following, giving the correct units
SLIDE 31
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SLIDE 30 B
Find the areas of each of the following, giving the correct units
SLIDE 31 B
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SLIDE 32
? Find the area of a rectangle with length 12 cm and width 5 cm.
? The width of a rectangle is 8 cm. Its length is 2 times its width. What is the area of the rectangle?
? Find the area of a square with side 9 metres.
? The area of a rectangle is 160 cm2. Its width is 4 cm. What is its length?
? The area of a square is 49 cm2. What is the length of a side of the square?
SLIDE 33
? Find the area of a rectangle with length 12 cm and width 5 cm.
? The width of a rectangle is 8 cm. Its length is 2 times its width. What is the area of the rectangle?
? Find the area of a square with side 9 metres.
? The area of a rectangle is 160 cm2. Its width is 4 cm. What is its length?
? The area of a square is 49 cm2. What is the length of a side of the square?
SLIDE 32 B
? Find the area of a rectangle with length 12 in and width 5 in.
? The width of a rectangle is 8 in. Its length is 2 times its width. What is the area of the rectangle?
? Find the area of a square with side 9 yards.
? The area of a rectangle is 160 in2. Its width is 4 in. What is its length?
? The area of a square is 49 in2. What is the length of a side of the square?
SLIDE 33 B
? Find the area of a rectangle with length 12 in and width 5 in.
? The width of a rectangle is 8 in. Its length is 2 times its width. What is the area of the rectangle?
? Find the area of a square with side 9 yards.
? The area of a rectangle is 160 in2. Its width is 4 in. What is its length?
? The area of a square is 49 in2. What is the length of a side of the square?
SLIDE 34
A rectangle was divided into two triangles by cutting a straight line from one corner to another
Find the area of each of the triangles.
SLIDE 35
The area of each triangle is half the area of the rectangle.
SLIDE 34 B
A rectangle was divided into two triangles by cutting a straight line from one corner to another
Find the area of each of the triangles.
SLIDE 35 B
The area of each triangle is half the area of the rectangle.
SLIDE 36
Find the areas of the triangles and shapes
SLIDE 37
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SLIDE 36
Find the areas of the triangles and shapes
SLIDE 37
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SLIDE 38
Find the areas of the shapes
SLIDE 39
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SLIDE 38 B
Find the areas of the shapes
SLIDE 39 B
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