Unit 7: Using Models: Multiplication and Division
(1) Multiplication
Pupils will be able to interpret and represent the ‘group and item’ concept in multiplication using models either with paper strips or drawing bars.
• Analysing the ‘group and item’ concept in multiplication
• Pupil Textbook 2A, pp 132 to 133
• Practice Book 2B, pp 49 to 52
• Teacher’s Guide 2A, pp 224 to 225
(2) Division
Pupils will be able to interpret and represent the ‘group and item’ concept in division using models either with paper strips or drawing bars to find the number of items or groups
• Analysing the ‘sharing equally’ concept in division
• Pupil Textbook 2A, pp 134 to 136
• Practice Book 2B, pp 53 to 58
• Teacher’s Guide 2A, pp 226 to 228
(1) Measuring in metres
Pupils will be able to:
• recognise the unit of measurement for length as metre (m)
• estimate and measure 1 metre (1 m) lengths
• name objects that are more than 1 m long, and objects that are less than 1 m long
• estimate and measure the lengths of objects in metres
• Estimation
• Pupil Textbook 2A, pp 137 to 139
• Practice Book 2B, pp 59 to 62
• Teacher’s Guide 2A, pp 239 to 241
(2) Comparing lengths in metres
Pupils will be able to:
• compare the lengths of objects by measuring their lengths in metres
• find the difference (how much more or less) in the lengths of objects by subtracting the lengths
• Estimation
• Comparing
• Pupil Textbook 2A, pp 140 to 141
• Practice Book 2B, pp 63 to 64
• Teacher’s Guide 2A, pp 242 to 243
(3) Measuring in centimetres
Pupils will be able to:
• recognise the unit of measurement centimetres (cm) and that it is used for measuring shorter lengths as compared to the metre
• measure lengths of objects in centimetres (cm) using a ruler
• use a string to measure the lengths of curves
• draw lines given their lengths in centimetres using a ruler
• Comparing
• Sequencing
• Pupil Textbook 2A, pp 142 to 145
• Practice Book 2B, pp 65 to 66
• Teacher’s Guide 2A, pp 244 to 247
(4) Comparing lengths in centimetres
Pupils will be able to:
• measure lengths of objects in cm using a ruler
• compare the lengths of objects in cm and identify the longer and the shorter objects
• find the length of an object when the object is not placed at the ‘0’ mark
• find the difference (how much more or less) in the lengths of objects by subtracting the lengths
• Comparing
• Pupil Textbook 2A, pp 146 to 147
• Practice Book 2B, pp 67 to 70
• Teacher’s Guide 2A, pp 248 to 249
(5) Addition and subtraction of length
Pupils will be able to:
• solve one- and two-step word problems by relating them to addition and subtraction concepts such as ‘part-whole’, ‘adding on’, ‘taking away’ and ‘comparing’
• draw models to help them solve word problems
• Estimation
• Comparing
• Pupil Textbook 2A, pp 148 to 151
• Practice Book 2B, pp 71 to 76
• Teacher’s Guide 2A, pp 250 to 253
(6) Multiplication and division of length
Pupils will be able to:
• solve one- and two-step word problems by relating them to multiplication and division concepts such as ‘group and item’ and ‘multiplying’
• draw models to help them solve word problems
• Deduction
• Pupil Textbook 2A, pp 152 to 153
• Practice Book 2B, pp 77 to 78
• Teacher’s Guide 2A, pp 254 to 255
Put On Your Thinking Caps!
Pupils will be able to guess and check the path taken by the ant such that the path is of a certain length.
• Deduction
• Sequencing
Heuristic for problem solving:
• Guess and check
• Pupil Textbook 2A, p 154
• Practice Book 2B, pp 79 to 80
• Teacher’s Guide 2A, p 256
(1) Measuring in kilograms
Pupils will be able to:
• use the unit kilogram (kg) for measuring mass and have a sense of how heavy 1 kg is
• tell how heavy 1 kg is by weighing an object, e.g. a bag of flour
• read a scale which shows ‘1 kg’, ‘less than 1 kg’ or ‘more than 1 kg’
• estimate the mass of an object and then check by measuring its mass using a weighing scale
• find the mass of an object in kg using the balance with 1 kg weights
• compare the masses of objects and tell which is heavier or lighter
• solve problems by applying the ‘balancing’ concept
• Estimation
• Pupil Textbook 2A, pp 155 to 159
• Practice Book 2B, pp 81 to 82
• Teacher’s Guide 2A, pp 273 to 277
(2) Comparing masses in kilograms
Pupils will be able to:
• read a scale to determine the mass of objects
• tell which object or person is heavier and how much heavier by weighing the objects separately
• read a scale where the indicator does not point exactly to the numbers on the scale
• use a kitchen scale to determine the order of the masses of two or three items
• Comparing
• Estimation
• Pupil Textbook 2A, pp 160 to 161
• Practice Book 2B, pp 83 to 86
• Teacher’s Guide 2A, pp 278 to 279
(3) Measuring in grams
Pupils will be able to:
• use the unit gram (g) for measuring mass and have a sense of how heavy 1 g is
• tell how heavy 1 g is by weighing an item, e.g. a paper clip
• read a scale which shows masses less than 500 g
• find the mass of an object in grams using the balance with 1 g masses
• determine the correct weighing scale for different items
• Comparing
• Estimation
• Pupil Textbook 2A, pp 162 to 164
• Practice Book 2B, pp 87 to 92
• Teacher’s Guide 2A, pp 280 to 282
(4) Comparing masses in grams
Pupils will be able to:
• measure and compare masses in g
• identify which object is heavier/lighter/heaviest/lightest
• state how much heavier an object is by subtracting
• estimate the mass of an object and then verify it by using a weighing scale
• solve problems by comparing the masses of combinations of items
• Comparing
• Sequencing
• Pupil Textbook 2A, pp 165 to 168
• Practice Book 2B, pp 93 to 94
• Teacher’s Guide 2A, pp 283 to 286
(5) Addition and subtraction of mass
Pupils will be able to:
• find the total mass of two or more items (in kg) by adding the masses
• find the difference in the masses by subtracting
• solve problems and determine the operations used based on the addition and subtraction concepts
• use models to help them solve problems
• solve two-step word problems involving addition and subtraction of masses using the ‘part-whole’, ‘comparison’, ‘adding on’ and ‘taking away’ models
• Comparing
• Pupil Textbook 2A, pp 169 to 172
• Practice Book 2B, pp 95 to 96
• Teacher’s Guide 2A, pp 287 to 290
(6) Multiplication and division of mass
Pupils will be able to:
• solve problems involving multiplication concepts
• use models to help them solve problems
• solve one-step word problems involving multiplication
• solve problems involving the division concept
• read a word problem and decide if it is a multiplication or division calculation
• Comparing
• Pupil Textbook 2A, pp 173 to 175
• Practice Book 2B, pp 97 to 98
• Teacher’s Guide 2A, pp 291 to 293
Put On Your Thinking Caps!
Pupils will be able to solve problems using deduction.
• Deduction
• Inference
• Pupil Textbook 2A, p 175
• Practice Book 2B, pp 99 to 100
• Teacher’s Guide 2A, p 293
Revision 1
• Practice Book 2B, pp 101 to 112
Summative assessment opportunities
Assessment Book 2, Test 4, pp 35 to 42
For extension, Assessment Book 2, Challenging Problems 2, pp 43 to 44
Assessment Book 2, Check-up 2, pp 45 to 56
Unit 10: Mental Calculations
(1) Mental addition
Pupils will be able to:
• use number bonds for 10s to mentally add a 1-digit number to a 2-digit number within 100 without regrouping
• use number bonds to mentally add a 1-digit number to a 3-digit number with or without regrouping the ones
• use number bonds to mentally add a 3-digit number and tens with or without regrouping in tens
• use number bonds to mentally add a 3-digit number and hundreds without regrouping in hundreds
• Classifying
• Identifying patterns and relationships
• Pupil Textbook 2B, pp 6 to 12
• Practice Book 2C, pp 5 to 8
• Teacher’s Guide 2B, pp 4 to 10
(2) Mental subtraction
Pupils will be able to:
• use number bonds to mentally subtract a 1-digit number from a 2-digit number within 100 with or without regrouping
• use number bonds to mentally subtract a 1-digit number from a 3-digit number within 1000 with or without regrouping the tens into ones
• use number bonds to mentally subtract tens from a 3-digit number within 1000 with or without regrouping the hundreds into tens
• use number bonds to mentally subtract hundreds from a 3-digit number without regrouping
• Identifying patterns and relationships
• Pupil Textbook 2B, pp 13 to 18
• Practice Book 2C, pp 9 to 10
• Teacher’s Guide 2B, pp 11 to 16
(1) Counting pounds and pence
Pupils will be able to:
• recognise different coins and notes and know the value of each
• state the total value of a set of notes and coins
• write amounts of money in numbers, given the amount written in words
Let’s Explore!
Pupils will be able to:
• show different ways of making up a value with different notes and coins
• show different ways of making up a value in pounds only, pence only or in pounds and pence
• Comparing
• Identifying attributes and components
• Recalling number bonds
• Pupil Textbook 2B, pp 19 to 23
• Practice Book 2C, pp 11 to 16
• Teacher’s Guide 2B, pp 25 to 29
(2) Changing pounds and pence
Pupils will be able to:
• convert pence to pounds
• convert pence to pounds and pence
• convert pounds to pence
• convert pounds and pence to pence
• Comparing
• Pupil Textbook 2B, pp 24 to 25
• Practice Book 2C, pp 17 to 18
• Teacher’s Guide 2B, pp 30 to 31
(3) Comparing amounts of money
Pupils will be able to:
• write the amount of money in a place value chart in pounds and pence
• use a strategy to compare the amounts of money by first comparing the pounds followed by the pence
• state the greater/greatest or smaller/smallest amount of money using the ‘comparing pounds and pence’ strategy
• Comparing
• Pupil Textbook 2B, pp 26 to 27
• Practice Book 2C, pp 19 to 22
• Teacher’s Guide 2B, pp 32 to 33
(4) Word problems:
Addition and subtraction of money
Pupils will be able to:
• solve one-step or two-step word problems in addition or subtraction involving ‘part-whole’, ‘adding on’, ‘taking away’ or ‘comparing’ concepts; in pounds only or in pence only
• draw models to solve word problems in pounds only or in pence only
Multiplication and division of money
Pupils will be able to:
• solve one-step word problems in multiplication and division involving ‘group and item’ and ‘multiplying’ concepts
• draw models to solve word problems
• Making links between addition and subtraction
• Applying addition and subtraction concepts
• Making links between multiplication and division
• Pupil Textbook 2B, pp 28 to 31
• Practice Book 2C, pp 23 to 26
• Teacher’s Guide 2B, pp 34 to 37
Put On Your Thinking Caps!
Pupils will be able to use the ‘making a list’ method to solve a challenging problem.
• Comparing
Heuristics for problem solving:
• Make a list
• Guess and check
• Pupil Textbook 2B, p 31
• Practice Book 2C, pp 27 to 28
• Teacher’s Guide 2B, p 37
• Practice Book 2C, pp 29 to 36
Summative assessment opportunities
Assessment Book 2, Test 5, pp 57 to 63
(1) Understanding fractions
Pupils will be able to:
• use shapes to represent one whole and fractions with denominators of up to 12
• write fractions with denominators of up to 12 from given shapes with equal divisions
• identify whether a shape has been cut into equal fractional parts
• read and write fractions in words
• identify parts and whole from a given situation
• write fractions to represent the parts of a whole from a given situation
Let’s Explore!
Pupils will be able to fold pieces of paper into equal parts in different ways
• Analysing parts and whole
• Visualising equal parts
• Pupil Textbook 2B, pp 32 to 37
• Practice Book 2C, pp 37 to 42
• Teacher’s Guide 2B, pp 56 to 61
(2) More fractions
Pupils will be able to:
• represent fractions using model drawings
• represent a situation in terms of fractions and then model drawings
• represent fractions using drawings of shapes
Let’s Explore!
Pupils will be able to analyse and visualise different ways in which an object can be divided equally given a fraction.
Maths Journal
Pupils will be able to recall the fraction concepts to tell a story based on model diagrams.
• Analysing and visualising parts and whole
• Pupil Textbook 2B, pp 38 to 43
• Practice Book 2C, pp 43 to 46
• Teacher’s Guide 2B, pp 62 to 67
(3) Comparing and ordering fractions
Pupils will be able to:
• compare and order two or more fractions with the same denominator using rectangular strips or model drawings of the same size
• compare and order two or more fractions with different denominators using rectangular strips or model drawings of the same size
• order two or more fractions with or without the use of rectangular strips of the same size or model drawings
Let’s Explore!
Pupils will be able to use the ‘comparing’ strategy to describe which fraction is greater/smaller or the greatest/smallest.
• Comparing and contrasting two or more fractions
• Pupil Textbook 2B, pp 44 to 49
• Practice Book 2C, pp 47 to 52
• Teacher’s Guide 2B, pp 68 to 73
(4) Adding and subtracting like fractions
Pupils will be able to:
• add two or three fractions with the same denominator taken from a whole
• subtract a fraction from another fraction with the same denominator taken from a whole
• subtract two fractions with the same denominator from the same whole
• conceptualise addition and subtraction of fractions by representing the subtraction with model drawings
• Applying parts and whole in addition and subtraction
• Pupil Textbook 2B, pp 50 to 55
• Practice Book 2C, pp 53 to 56
• Teacher’s Guide 2B, pp 74 to 79
(5) Solving word problems
Pupils will be able to:
• recall and apply ‘part-whole’ and ‘adding on’ concepts in addition of two fractions using model drawing to solve word problems
• recall and apply ‘part-whole’ and ‘taking away’ concepts in subtraction of fractions using model drawing to solve word problems
• Applying ‘part-whole’, ‘adding on’ and ‘taking away’ concepts in fractions
• Visualising equal parts of a whole
• Pupil Textbook 2B, pp 56 to 59
• Practice Book 2C, pp 57 to 58
• Teacher’s Guide 2B, pp 80 to 83
Put On Your Thinking Caps!
Pupils will be able to apply the ‘adding on’ and ‘taking away’ concepts to solve model drawing problems.
• Comparing and contrasting two or more fractions
• Pupil Textbook 2B, p 59
• Practice Book 2C, pp 59 to 60
• Teacher’s Guide 2B, p 83
(1) The minute hand
Pupils will be able to:
• recite the 5 times table and relate it to the clock’s minute markings
• recall and use the conversion:
60 minutes = 1 h
• tell the time as __ mins after __ o’clock
• read and write the time in minutes to intervals of 5 minutes
• name the numeral or draw the minute hand given the time in hours and minutes
• Recall the 5 times table and relate it to the minute hand
• Pupil Textbook 2B, pp 60 to 63
• Practice Book 2C, pp 61 to 64
• Teacher’s Guide 2B, pp 100 to 103
(2) Reading and writing the time
Pupils will be able to:
• tell the time in hours and minutes by looking at the positions of the hour and minute hands
• write the time in hours and minutes in numerals
• draw the position of the hour hand or the minute hand given the time in numerals
• make up stories about what they were doing at the times shown
• Analysing events and relating to a.m. or p.m.
• Recalling and relating
• Pupil Textbook 2B, pp 69 to 73
• Practice Book 2C, pp 69 to 70
• Teacher’s Guide 2B, pp 109 to 113
(4) Time taken in hours and minutes
Pupils will be able to:
• find the duration in terms of 1 hour or half an hour given start and end times
• find the start time given the end time and duration of 1 hour or half an hour
• find the end time given the start time and duration of 1 hour or half an hour
• Analysing time and events
• Pupil Textbook 2B, pp 74 to 77
• Practice Book 2C, pp 71 to 77
• Teacher’s Guide 2B, pp 114 to 117
Put on Your Thinking Caps!
Pupils will be able to:
• tell the correct time for a clock that is running slow
• tell the correct time for a clock that is running fast
• Analysing time and events
• Pupil Textbook 2B, p 78
• Practice Book 2C, pp 78 to 80
• Teacher’s Guide 2B, p 118
• Practice Book 2C, pp 81 to 88
Summative assessment opportunities
Assessment Book 2, Test 6, pp 65 to 70
For extension, Assessment Book 2, Challenging Problems 3, pp 71 to 72
Assessment Book 2, Check-up 3, pp 73 to 82