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Year 5 Block D - Calculating, measuring and understanding shape - Unit 2
Date: Teacher:
Building on previous learning check that children can already;Notes from previous year/unitsolve practical problems involving counting, including counting on, measuring, comparing, ordering, adding, subtracting or partitioning objects
say and use the number names in order in familiar contexts and recognise numerals 1 to 9
know that numbers identify how many objects are in a set and match sets of objects to numerals
count aloud in ones, twos, fives or tens
find one more or one less than a number from 1 to 10
select two groups of objects to make a given total of objects
relate addition to combining two groups of objects and subtraction to 'taking away' VocabularySpeaking and Listeningpattern, answer, number sentence, sign, operation, explain, show me, read, write, record, count, compare, order
the same number as, as many as, equal to, equals ( INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_equals.gif" \* MERGEFORMATINET ), sign, more, most, less, least, greater, greatest, larger, largest, bigger, biggest, fewer, fewest, smaller, smallest, before, after, halfway
add, plus ( INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_plus.gif" \* MERGEFORMATINET ), makes, sum, total, altogether, subtract, minus (-), take away, leaves, difference
one, two, three, ..., hundred; first, second, third, ...; ones, tens, 'teens' number, exchange, digit
how many ...?, how many more to make ...?, how many more is ... than ...?, how much more is ...?, how many fewer is ... than ...?, how much less is ...?, what is the difference between ...?
odd, even, pair, double, near double, half, halveUnderstand the process of decision makingMathematics in Science
Earth, Sun and Moon: Model different position of the Sun in the sky and the effect on the length of shadows by shining a torch on an object from different measured angles.
ObjectivesEnd-of-year expectations (key objectives) are highlightedChildren's learning outcomes in italicAssessment for learningSolve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator useI can decide what calculations to do to solve a problem and how to do them (mental methods, jottings, written methods, calculator)The answer is 15.4kg. What was the question?Solve these problems:
A spoonful is 5ml. How many spoonfuls can you get from a bottle that holds one quarter of a litre?A tin of baked beans weighs 400 grams.How many grams less than 1 kilogram is this?
Did you have to change any of the information to help you solve the problem, e.g. convert units of measurement?Did you need to use the calculator to solve the problem? What key sequence did you use?Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculationsI can use rounding to estimate and check calculations Roughly, what will the answer to this calculation be? How did you arrive at that estimate? Do you expect your answer to be greater or less than your estimate? Why?How do you know that this calculation is probably right? Could you check it a different way?This answer is wrong. How can I tell?Find two different ways to check the accuracy of this answer.Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000 I can multiply and divide whole numbers by 10, 100 and 1000 Tell me a quick way of multiplying a number by 10. By 100.Tell me a quick way of dividing a number by 10. By 100.Explain what happens to the digits when you multiply or divide a whole number by 1000. What do you notice about the digits in your answer? How many times larger than 60 is 600?Use efficient written methods to add and subtract whole numbers and decimals with up to two placesI can add and subtract whole numbers and decimals with two places in columns What tips would you give to someone to help with column addition of decimals? What about subtraction?Show me your method for solving these problems:
Three parcels weigh 785g, 55g and 0.25kg. How much do they weigh altogether?I had 0.6kg of sugar. I have 247g left after I make a cake. How much sugar did I use?
Refine and use efficient written methods to multiply and divide HTU INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_mult_sm.gif" \* MERGEFORMATINET U, TU INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_mult_sm.gif" \* MERGEFORMATINET TU, U.t INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_mult_sm.gif" \* MERGEFORMATINET U and HTU INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_div_sm.gif" \* MERGEFORMATINET UI can use an efficient method to multiply HTU by U and TU by TU How would you solve these problems?
I have 9 parcels each weighing 346g. How much do they weigh altogether?72 boxes of dog food weigh 38kg each. How much do they weigh altogether?
Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/frac_3_4.gif" \* MERGEFORMATINET of 150g); interpret the display correctly in the context of measurementI can use a calculator to solve weight problems involving decimals What key presses would you make on a calculator to work out 14.6 INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_mult_sm.gif" \* MERGEFORMATINET 4 INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_mult_sm.gif" \* MERGEFORMATINET 13.8?Explain how to use your calculator to solve these problems. What key sequences will you use?
I use 1375g of sugar to make 5 cakes. How much sugar do I need for 1 cake? For 3 cakes?There are 75g of rice in a portion. How many portions are there in a 3 kg bag of rice?
How will you check your answers to the problems? Read and plot coordinates in the first quadrant; recognise parallel and perpendicular lines in grids and shapes; use a set-square and ruler to draw shapes with perpendicular or parallel sidesI can recognise parallel and perpendicular lines in shapes and in the environment Give an example of parallel lines in everyday life. How can you recognise them? What about perpendicular lines?Points A (3, 4) and B (3, 7) are joined by a straight line. Plot the coordinates of two points C and D so that line CD is parallel to AB.Now plot two points E and F so that line EF is perpendicular to AB.Estimate, draw and measure acute and obtuse angles using an angle measurer or protractor to a suitable degree of accuracy; calculate angles in a straight lineI can estimate and measure angles less than 180 INCLUDEPICTURE "http://www.standards.dfes.gov.uk/primaryframeworks/images/gif/symb_degree.gif" \* MERGEFORMATINET I can recognise acute, obtuse and right anglesLook at these angles.
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Which of them are acute angles? Which are obtuse angles?Estimate the size of each of the angles.Now use your protractor to measure the angles to the nearest 5 degrees.
Read, choose, use and record standard metric units to estimate and measure length, weight and capacity to a suitable degree of accuracy(e.g. the nearest centimetre); convert larger to smaller units using decimals to one place (e.g. change 2.6kg to 2600g)I can choose and use a suitable metric unit to estimate and measure weightI can use benchmarks to help me to estimate weightI know how many grams there are in a kilogramHow do I write 6 kilograms 400 grams as a decimal? What about 9 kilograms 50 grams?Tell me an example of something you would measure in kilograms. What about grams?What unit of measurement would use for:
weighing a tomato?weighing yourself?
Circle one amount each time to make these sentences correct.
The distance from London to Manchester is about:320cm 320m 320kmA tea cup is likely to hold about:15ml 150ml 150lA hen's egg is likely to weigh about:6g 60g 600g
Interpret a reading that lies between two unnumbered divisions on a scaleI can work out the reading between two unnumbered divisions on kitchen and bathroom scales What is the total mass of the apples on the scales?
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A piece of cheese has a mass of 350 grams. Mark an arrow on the scale to show the reading for 350g.
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What tips would you give someone who wanted to measure a line in millimetres?Solve these problems:
What is the area of a rectangle measuring 34cm by 29cm?The area of a rectangle is of 132m2. The shortest side is 4m long. What is the length of the longest side?
Explain how you worked out your answers. Understand the process of decision makingI can explain why I decided to use a particular method to solve a problemI can describe what was special about the problem that prompted my decisionWhy did you decide to use a mental/written/calculator method for this calculation?Why did you decide to change all the units to metres rather than centimetres?Why did you decide to use the scales rather than the balance?
NE Lincs Mathematics Team
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