MINISTRY OF EDUCATION REVISED CURRICULUM GUIDE MATHEMATICS GRADE 5 PRODUCED BY CURRICULUM DEVELOPMENT AND IMPLEMENTATION UNIT, NATIONAL CENTRE FOR EDUCATIONAL RESOURCE DEVELOPMENT PRINTED BY MATERIALS PRODUCTION UNIT, NCERD September 2008 ACKNOWLEDGEMENTS The Ministry of Education is grateful to the following persons whose tireless work has resulted in the production of this revised Mathematics Guide for Grade 5. Ali, Mohamed Osman St. John's Community High School Bowman, Samantha Amelia’s Ward Primary School Chandrapaul, Tajewattie Gibson Primary School Chichester, Robin Belladrum Primary School Dhanpat, Twaripersaud Yakusari Primary School Enniss, Dorrette Ann Mackenzie Primary School Harripaul, Bhawase C. Crabwood Creek Primary School Jacobis, Fareeda St. Anthony’s Primary School Jaikarran-Wills, Pramawattie Rama Krishna Primary School Jewnandan, Jaiwattie Arthurville Primary School Jones, Linda Senior Subject Specialist (VSO), NCERD Lall, Eshwar Lima Sands Primary School Lo-Hing, Paula St. Sidwell’s Primary School Mckenzie, Colleen Virginia Primary School Mckenzie, Joseph Senior Subject Specialist, NCERD Persaud, Pramellawattie Taymouth Manor Primary School Peters, Bhatraj Overwinning Primary School Prasad, Krishna Nand Senior Subject Specialist, NCERD Rambarose, Taramatie Ketley Primary School Ramnarine, Paramdai Huist Dieren Primary School Singh, Lakewatti Dolly Stella Maris Primary School CURRICULUM GUIDE MATHEMATICS: GRADE 5 CONTENTS TOPIC Page Sets 1 Number Concepts 6 Operations, Relations and Properties 17 Geometry 30 Fractions 39 Decimal 46 Percentage – Ratio And Proportion 58 Measurement: Length 61 Capacity 64 Mass 68 Time 71 Statistics-Graphs 72 MATHEMATICS CURRICULUM GUIDE LEVEL 5 SETS OBJECTIVE AREAS OF TOPIC METHODS/ EVALUATION SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- INTEGRATION Sets: Sorting mixed Describe a set Share objects and Describe a set - Sort a mixed Describe sets. Art collection of and work in small and list collection of Name sets. Draw sets of Making sets and objects to make list members of groups. members of objects to List members of objects from the listing sets sets using braces. sets using make sets. given sets using environment. members. Describing sets braces. - Describe and braces Naming sets name the sets e.g. The set of Drawing formed. vowels (V): Listing members - Drawing V = {a, e, i, o, u}. of sets diagrams to represents the sets made. - List all the members of a set. - State which members belong and which do not belong to a particular set. Distinguishing Differentiating Recognise equal Share objects and Equal and Make equal sets Identify equal and Language between equal Making sets sets as referring work Equivalent Explain the equivalent sets Skills and equivalent to a set with co-operatively. sets. concept of equal from given sets Use language of sets. many names sets. mathematics in Recognise Make equivalent OBJECTIVE AREAS OF TOPIC METHODS/ EVALUATION SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- INTEGRATION equivalent sets as sets communicating. having the same Explain the number of concept of members. equivalent sets Compare equal sets with equivalent sets Subsets Identifying and Describing sets Find out Subsets. The Describe and name List the members Social Studies using the symbol Identifying and mathematical symbol for " is given sets. of subsets of Identify major for " is a subset listing subsets of facts for oneself a sub set of " Identify and write given sets using groupings of of ". the given set. i.e. ⊂ sets using braces. braces and the countries in the Using the symbol Make smaller sets symbol ⊂ - is a Caribbean e.g. ⊂ - is a subset of from given sets and subset of Greater Antilles, name these . Bahamas etc. “subsets.” of the Science given sets From a set of e.g pictures of (a) { i, o, a } is a animals select subset of pictures of { a, e, i, o, u } animals and place (b) {1,2,3 } is a them in the subset of correct vertebrate {1,2,3,4,5} groups. Use the symbol ⊂ for " is a subset of.”. e.g. {1,2} ⊂ . {1,2,3,4,5,6} NUMBER CONCEPTS OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION LEVEL 5 Reading Read and write Develop critical Numerals up Read various 4- and Rearrange digits NUMBER Numerals numerals up to thinking to hundreds of 5-digit numerals to make new 6 OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION CONCEPTS. Recognising hundreds of thousands shown on digit numerals. patterns thousands (both Place value of abacuses/place value Read 6- digit Reading and Using patterns to numerically and each digit in charts/coloured numerals writing develop in words) and numerals up to number numerals up to mathematical state the values hundreds of strips/notation cards. hundreds of concepts of each digits in thousands. Use abacuses/place thousands numerals up to value thousands charts/coloured number strips/notation cards to show numerals up to 5 digits and then to 6 digits Use the place value chart and abacus to read and write numerals up to hundreds of thousands. Investigating - Skip counting Observing - Count in Complete in 2's, 3's, 5's, Count in 2's, sequence from sequence 10's, 25's, 50's, 3's, 5's, 10's, one. involving skip 100's, 1000's, 100's, 1000's, - Count on, from counting in 2's, recognising and a given number 3's, etc in insert missing to another given acending. terms in number 160, 165, __, __, sequence (forward and 180 and backward) decending - Skip count in 1350, 1250, __, 2's, 3's, 5's, 10's, __. 25's, 50's on a hundred grid. - (both forward and backward) - e.g. 125, 150, - Increase or __, __, __, 105, decrease OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION __, 115, 120, given __, __, 260, numbers by 250, __, __, thousands, 220. hundreds - Skip counting etc. in hundreds, - E.g. Increase thousands, 360 by 5 = thousands from __ decreases a given number 1764 by 100 to another given = ____. number (with and without the - Complete use of a number series in line) skip - Increasing or counting decreasing a - Complete given number dot to sot by puzzles. thousands/hund - E.g. reds/fifties/twen - 65, 85, . . . . ty- . . . . . . . . five/tens/fives/t hrees/twos, writing and reading the numerals formed by the increase or decrease. - Recognising patterns in skip counting. - Completing sequences involving skip counting - Completing dot OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION to dot puzzles. Ordering Comparing and Compare - Arranging - Use the ordering numbers numbers up to given numerals symbols =, up to hundreds of hundreds of (up to hundreds >, < to thousands. thousands. of thousands) in compare Using >, < or order from numbers up = signs. largest to to hundreds e.g. 10 634 < smallest and of thousands 12 361 vice-versa of - Comparing thousands. Order numbers numerals up to E.g. 162 from smallest hundreds of 361 to largest and thousands. 10 364 vice-versa. - Writing number E.g. 29 364 sentences using - Order given 87521 9864 symbols =, >, < numerals from from smallest to show that largest to 9 864 29 one number is smallest and 364 87 521 equal to, greater vice-versa. from largest. than or less than 87 521 29 another. 364 9 864 Computation. Identify and Factors of 1 - Identify and - Writing the write factors of 1 and 2 digit write factors of factors of and 2 digit numbers. given number given 1 and numbers and (up to 2 digit). 2 digit write the product - Identify the numerals of repeated factor in a given - Writing factors as the number repeated power of the sentence and factors using factor state the power. E.g. number of times 7 x 7 x 7 x 7 the factor in x 7 = 7 repeated e.g. 2 - Writing OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION x 2 x 2 = 8 the given factor 2 is powers of repeated 3 factors as times. repeated - Write and read factors e.g. the product of - 7 = 7 x 7 x repeated factors 7 x 7 as the power of - Identifying the factor and factors and vice-versa. E.g. power 2 x 2 x 2 = 8 = (exponents). 2 and 2 x 2 x 2 = 2 = 8 - Identify the factor and the power (exponent) of the factor e.g. in 2 2 is the factor and 3 is the power or exponent. Counting Identify prime Recognising. Prime and - Listing all - Identify Physical Identifying.3 and composite composite factors of given prime Education. numbers between numbers numbers numbers 0 and 100. between 0 and between 0 and from given 100. 100 sets of Identifying and - Counting the numbers. writing multiples number of of 1 and 2 digit factors for each numbers. (10, number and 11, 12) recording them on a table or graph. Number 1 2 3 4 5 6 7 Factors 11213121512317 4 6 OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION Number of different factors Number of different fac- - Identify composite 7 numbers 6 from a given set of 5 numbers. 4 3 2 1 0 1 2 3 4 5 6 7 Using the table/graph to name the numbers that have two and only two different factors and naming such number – prime numbers composite numbers. Shading prime/composite numbers on a OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION hundred square grid. Organising Identify and Develop self- Multiples of 1 Manipulating small - Write the Crossword Classifying. write multiples of reliance. and 2 digit objects to identify multiple of Puzzle. 1 and 2 digit numbers. number that can be given one number put into equal rows and two (10,11,12). of 2, 3, 4, 5 etc. up digit to 12. numbers up Identifying the to 12. numbers that can be - Complete put into equal rows sequences of 2 as multiples of for 2; numbers that can multiples. be put into equal rows of 3, 4, 5 etc. to 12 as multiples of 3, 4, 5 etc. to 12. Identifying multiples of one and tens object numbers up to 12 on a hundred square grid. Investigating Find the L.C.M. Observing. L.C.M. of not Listing multiples of Complete table Science. Calculating. of given number more than given numbers (not for L.C.M. of Tech/Voc using sets of three number more than 3 given numbers. Subject. multiples. at a time. numbers at a time). Stating which multiples are multiples of all the numbers given and describing these multiples as Common Multiples. Identify the Lowest of the Common Multiples and describing it as OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION Lowest Common Multiples (L.C.M). Computation Rounding whole Recognising. Round whole Counting in tens Round given Identifying numbers to the Appreciating. numbers up to from a given number to the Differentiating nearest ten, thousand. number to another nearest ten, Comparing. hundred and given number on a hundred and thousand. number line e.g. thousand. 50 60 70 130 Identifying given number on the number line and stating their position in relation to the tens on both sides of the number e.g. 50 51 50 51 52 53 54 OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION 55 56 57 58 59 60 52 is nearer to 50 than to 60 56 is nearer to 60 than to 50. Identifying the mid- point between two numbers on the number like e.g. 10 20 30 90 Rounding given numbers to the nearest ten and stating a rule for rounding numbers e.g. numbers form the mid-point and higher than the mid- point are rounded up; numbers below the mid-point are rounded down e.g. 84 rounded to the nearest ten is 80. 38 OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION to the nearest ten is 40. Using similar activities as the above for rounding numbers to the nearest hundred and to the nearest thousand. . Calculating Test for Observing. Numbers that Grouping quantities State the rule for Investigating. divisibility by 2, Appreciate are divisible of stoppers into divisibility by 2, 3, 5, 9 and 12. by 2, 3, 5, 9, parcels of 2, 3, 5, 9, 3, 5, 9 and by 10. and 12. 10. Dividing given Identify numbers numbers by 2, 3, 5, that are divisible 9,10. by 2, 3, 5, 9 and Examining the by 10. ending of numbers that are exactly divisible by 2, 3, 5,9, by 10 and stating the rule for each. Examining the sums of the digits of numbers exactly divisible by 3 and by 9 and stating the rule for each. Using these rules to find numbers that are divisible by 2, 3, 5, 9 and by 10 on the 100 square grid. OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION Identifying and Identify odd and Inquiring. Odd and even Arranging given sets Identify odd and Physical listing. even numbers. numbers. of objects into two even numbers on Educational – equal rows. a hundred square game. Describing odd and grid. even numbers. Identifying odd and even numbers on the hundred square grid. Recognising odd and even numbers by excaming the last digit in the numeral. Completing sequence involving odd and even numbers. Ordering Use ordinals as Comparing and Ordinals as Reading the date Using ordinals to Art. Identifying. applied to dates appreciating. applied to from the calendar, tell and write anniversaries etc. dates. using ordinals. dates as a daily Using ordinals to exercise. record the date of each day; to name the order of the days of the week, weeks in the month, month in the year and the dry and month of important events such as birthdays, anniversaries, National Events etc. Comparing Read and write Differentiating Roman - Substituting Write Roman Social Studies. Roman Accepting. Numerals up Roman Numerals for Numerals. to c (100). Numerals for Arabic/Hindu given Arabic Numerals to 100 Numerals to L and vice-versa. OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION (50). - Discussing the basic symbols to L. - Discussing how the basic symbols affect the meaning of the numerals i.e. - If a numeral is written to the right of one with greater value the two must be added together e.g. LX is 50 to 10 = 60. - If the numeral is written to the left of one of greater value, it must be subtracted e.g. 1X is 10 – 1 = 9. XL is 50 – 10 = 40 - Recognising C as the Roman Numeral for 100. - Writing the Roman Numeral for 90 – XC and OBJECTIVE METHODS/ AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT STRATEGIES- EVALUATION INTEGRATION other numerals from 1 to 50, 60 to 100. - Writing Roman Numerals for given numbers up to 100 and vice versa.STOP OPERATIONS, RELATIONS AND PROPERTIES OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION Basic number Recognising Recall with speed Memorise Basic number Use the addition and Complete Science facts for patterns and accuracy all important results facts for subtraction tables to addition and Investigating addition and Problem solving basic number and value these addition and recall addition and subtraction and drawing subtraction Computing facts for addition as useful subtraction. subtraction facts tables. conclusions. and subtraction Examine addition and Recognise basic subtraction tables and Use concrete number facts for find patterns. materials to addition and Discuss these patterns solve addition subtraction as and make generalisation and subtraction number for problems combinations in -adding zero to a number Solve problems addition and -taking zero from a with brackets subtraction with number Complete 1-digit addends -adding two numbers in addition and e.g. 3 + 8 = 11 any order subtraction 11 - 3 = 8 Solve simple addition tables involving and subtraction problems odd and even based on addition and numbers subtraction facts Complete OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION Use odd and even number numbers to reinforce sentences with addition and subtraction basic addition facts by finding out if the and subtraction result of the addition or facts e.g. subtraction operation is 9 + ! = 12 odd or even ! + 8 = 14 Use brackets to write 5 + 6 = ! + 5 sentences to show which part of a problem must be worked first then Use flash cards with incomplete addition and subtraction facts and have pupils complete them Multiplication Building up Build up and use Show interest in Multiplication Identify patterns and Complete Tables up to 12 multiplication multiplication learning basic tables up to 12 relationships in multiplication tens tables tables up to 12 multiplication times multiplication table table on grid for Using times facts (grid) for up to 9 times up to 12 times. multiplication Value the use of tables and making Write repeated tables. multiplication generalisation. addition tables in solving e.g. sentences as problems -any number multiplied multiplication by zero is zero. facts and vice -any number multiplied versa by 1 is the number itself e.g. -the order in which a 3 +3 +3 +3 = 4 x 3 or number is multiplied 3 x 4 does not alter the Complete answer. number -multiplication and sentences with division are inverse basic operations multiplication e.g. and division 2 x 6 = 12 so 12 ÷ 2 = 6 facts for up to 12 and 12 ÷ 6 = 2 times tables. OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION Count in sets of 11, 12 Solve simple on a number line to build multiplication up multiplication tables and division for 11 and 12 and record problems. these counts using repeated addition sentences and multiplication sentences e.g. 11 + 11 = 22 11 x 2 = 22 Use flash cards to do drills in multiplication and division facts for up to 12 times tables. Solve simple problems involving basic number facts for multiplication and division Use calculators to verify results. Number Recognising Build number Be aware of Building Count in twos, threes, Complete Art and sequences number patterns sequences growth patterns number fours, fives, tens, and number Craft Completing sequence (not multiples of 10 up to sequences Use objects, number more than 10 hundreds, beginning at starting at any e.g. sequences numbers in a any number. point. matchsticks, to sequence) so Recognise the number e.g. create growth that the pattern in sequences and (i) 10, 20, 30, patterns. difference find the principle (ii) 5, 70, 75 ----- between governing a particular (iii) 4, 8, 12 ------ consecutive pattern. (iv)191, 291, terms is a 1 Read numbers in number 391, ----- digit; number, sequences on a number 10, multiple of line and state the 10 up to 100 difference between and other 2 consecutive terms digit numbers. Complete number sequence on a number OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION line. Addition and Computing Add and subtract Work together to Addition and Use expanded notation Add and subtract Language subtraction of Grouping and numbers up to 4- solve problems subtraction of and place value to add whole numbers Skills numbers up to regrouping digits without number up to and subtract whole using expanded Make up 4- digits Investigating and with 4-digits numbers. notation. mathematics regrouping. (including all Add and subtract 2-, 3-, Add and subtract stories and difficulties) in and 4-- digit numbers whole numbers solve either vertical without showing the without showing problems. or horizontal expanded notation the expanded format. Use the commutative form. and zero properties to Complete add whole numbers e.g. number 15 + 9 = 9 + 15 = 24 sentences to 448 + 0 = 0 + 448 = 448. show commutative and zero properties. e.g. 12 + 6 = # 6 + 12 = # 17 + 0 =# 0 + 17 =# 146 + 125 =# 125 + 146 = # Make palindromes and state the number of steps used. Complete magic squares. OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION Adding a Communicating Recognise that if Set and achieve Addition and Add and subtract the Solve problems number to a Computing a whole number realistic goals subtraction as same whole number in which a whole given number Recognising is added to then inverse from a given number number is added and then patterns subtracted from a operations. than discussing the to then subtracting the Observing given whole result. subtracted from a number that was Using patterns to number, the e.g. given number added. make rules result is the (a) 10 + 4 – 4 = 10 without Investigating original whole (b) 12 + 6 – 6 = 12. performing the number. Generate a rule. operation. e.g. 8 + 104 – 104 = 29 – 8 + = 29 32 + - 17 =32 Multiplication Using expanded Multiply up to 4- Develop an Multiplication Use expanded notation Use expanded Science of 4-digit notation and the digit numbers by inquiring mind of up to 4- and the distributive notation and the Apply skills numbers by 1- distributive 1 digit and 2- digit numbers property to multiply 1- distributive and knowledge and 2- digit property of digit numbers by 1 and 2 ,2-, 3 –, and 4 -digit property to to do activities numbers multiplication including digit numbers numbers by 1 digit multiply 2-, 3- that involve Recognise and multiples of 10 including numbers. and 4 -digit the use number up to 100. multiples of 10 e.g. numbers by 1- multiplication patterns up to 100. 598 x 9 digit numbers. of 2-.3-, and 4- = (500 + 90 + 8) x 9 e.g. 427 x 9 digit numbers = (500 x 9) + (90 x 9) + Multiply up to 4- by 1- and 2- (8 x 9) digit numbers by digit numbers. = 4500 + 810 + 72 1- digit numbers = 5382. without showing Multiply 1-, 2-, 3- and 4- the expanded digit numbers without form. showing the expanded Multiply 1 digit form numbers by 10, Use repeated addition to 100. multiply 1- digit number by 10 and by 100. Multiplying 1- digit Multiply up to 4 numbers by 1, 10, 100. digit numbers by OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION e.g. 10 and by 100. 5 x 1 = 5 e.g. 5 x 10 = 50 1045 x 10 = 5 x 100 = 500 1045 x 100 = and discuss the Multiply up to 4- relationship between the digit numbers by 1- digit numbers being 1- digit numbers multiplied, and the and multiples of answers, to arrive at a 10 up to 100. rule for multiplying by e.g. 10 and 100. 2417 x 10 Identify patterns in 2417 x 20 multiplication of up to 4- 2317 x 30 digit numbers by 1- digit numbers and multiples of 10 up to 100 using the abacus and place value chart. e.g. 126 x 3 = 126 x 3 tens = 126 x 3 hundred = 126 x 3 = 126 x 30 = 126 x 300 = Use expanded notation Use expanded and the distributive notation to do property to multiply up problems of the to 4- digit numbers by following kind multiples of 10. 329 x 30 OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION 493 x 40 Multiply up to 4- = (400+ 90 + 3)x 40 digit numbers by (400 x 40) + (90 x 40) + I- digit number (3 x 40) using expanded 16000 + 3600 + 120 notation and the 19720 distributive Use expanded notation property and the distributive Solve problems property to multiply up without using to 4- digit numbers by expanded 2 -digit numbers that are notation not multiplies of 10. e.g. 298 x 26 Multiply up to 4-digit 4562 x 43 numbers by 2-digit numbers without showing the expanded notation. Use calculators to check answers. Division of 4- Use basic Divide up to 4 Inquiring Division of Dividing up to 4 digit Divide up to 4 digit numbers multiplication digit numbers by numbers up to numbers by 1 digit digit numbers by by 1- and 2- and division 1 and 2 digit 4 digit number using the basic 1 digit numbers. digit numbers numbers numbers by 1 multiplication and and 2 digit division facts. Divide up to 4 numbers. Using repeated digit numbers subtraction to divide up using repeated to 4 digit numbers by 2 subtraction. digit numbers e.g. 13 34 442 - 340 – 10 times 34 102 102 – 3 times 34 0 - 13 times 34 OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION 69 52 3612 52 x 100 2600 - 50 times 52 1012 520 - 10 times 52 492 - 260 - 5 times 52 232 - 208 - 4 times 52 24 69 times 52 Mixed Investigating Recognise that if Reason logically Multiply and Multiply a whole Solve problem in Science operations Solving problems a whole number then divide a number by a given which a whole Solve (multiplying Recording results is multiplied by, whole number number, then divide the number is problems with and dividing a Recognising and and then is by the same result by the same given multiplied by a scientific number by the using patterns divided by the number. number and then discuss and then divided approach. same number) Using rules same number the the result by a given whole result is the 6 x 3 ÷3 = 6 number without original number Solve problems without performing the performing the operation. multiplication and e.g. division operations by 8 x 4 ÷ 4 = using a rule. 9 x ! ÷ 6 = 9 Estimating Rounding – off Estimate answers Value the need Estimate Round -off numbers to Use rounded-off answers to numbers to computation for answers to the nearest 10 to simplify numbers to computations Estimating exercises approximation. computations a problem and to get estimate Approximating involving the (involving the approximate answers. answers. Predicting four operations four e.g. when adding 32 + 37 e.g. by rounding-off operations) by + 52, round-off each 87 x 21 = ! rounding-off number to the nearest 10 95 + 54 + 38 =! numbers to the by thinking of 565 – 348 = ! nearest ten, 32 as 30 784 – 48 = ! hundred, 37 as 40 thousand and 52 as 50 OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION ten thousand. then adding 30,40 and 50 to record the answer as 120 Find the actual answer e.g. 32 + 37 + 52 = 121 Compare the estimated answer and the actual answer and say if the estimated answers is reasonable or not. Extend the ideas in the above to round-off numbers to (a) the nearest 10 (b) the nearest 100 (c) the nearest 10000 (d) the nearest 10 000 N.B. When multiplying or dividing by a 1- digit number, neither the multiplier nor the divisor is rounded- off When multiplying a 2- or more than 2- digit number, round-off both the multiplicand and the multiplier. Both divisor and dividend are rounded-off when using rounded-off numbers to divide 2- or more than 2- digit numbers. Use calculators to estimate, calculate and verify answers Mixed Applying rules State and use the Develop Order of Discuss the rules of State and use the Language OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION operations- the Use step-by-step order of enthusiasm in operations. order of operations rule for order of Skills use of method in operations in solving problems B – Brackets i.e. “Brackets” followed operations in Use the BODMAS solving problems relation to mixed O – Of by “of” then “Division,” computation technical operations. D – Divide then “Multiplication,” Quiz language of M – Multiply then “Addition,” and Puzzles mathematics. A – Add lastly “Subtraction” Games S – Subtract Introduce “BODMAS ,”to assist in the memorisation of the order. Apply BODMAS e.g. 12 ÷ 4 x 3 + 2 3 x 3 + 2 9 + 2 11 Work abstract exercises related to mixed operations using BODMAS Use calculators to find values of mixed operations. Calculating the Thinking Recognise the Use the The arithmetic Find the mean of two or Find the Language Arithmetic logically arithmetic mean calculator mean of sets more quantities derived arithmetic mean Skills Means of sets of Investigating as a single value meaningfully and of values from real life situations of sets of values Report on values Observing representing all intelligently by pooling together the Solve simple activities Generalising values in a set quantities and then problems undertaken in Applying rules redistributing these mathematics Verifying pooled quantities so that answers each share has the same Use sketches and amount. diagrams in Discuss practical solving problems exercises of the above Using the kind calculator Discuss the computation meaningfully involved in solving OBJECTIVE AREAS OF TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT METHODS/ EVALUATION STRATEGIES- INTEGRATION problems stating a rule for finding the mean of 2 or more quantities and using the rule to solve problems. Solving Reading Solve 1- step and Develop Word Use concrete materials Solves simple 1- Science problems Analysing 2- step problems confidence in problems and diagrams to solve and 2-step Pose a involving the Calculating trying out new involving the 4 simple 1- step problem problems using question and four operations Problem solving ideas operations involving any of the 4 diagrams seek to find operations. involving any of answers. Discuss, analyse, and the four use concrete materials operations and diagrams to solve 2- step problems which require the use of two of the four operations. GEOMETRY OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Geometry Make models of Identify and state Share ideas. Properties of Identify and state the Make nets of solid. Art and Craft – solids from nets the properties of Respect other solids (Number number of edges, Complete a table Making models Properties of Identifying the cube, cuboid, pupils’ of edges, surfaces and vertices on showing properties and skeletons of solids Observing cone, cylinder contributions. surfaces, the cube, cuboid, cone, of solid shapes. solids Describing and sphere in Enjoy practical vertices) cylinder and sphere. terms of edges, activities Describe the nature of surfaces and the edges and surfaces vertices. on these solids e.g. the edges are straight; the surfaces are curved. Record the properties of given solids Make models of the cube, cuboid, cone and cylinder from given nets OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Play a game: “Can you find me?” e.g. I have two flat surfaces, one curved surface, two curved edges. Can you find me? Explain and present Euler’s rule: Number of surfaces + Number of vertices = Number of edges +2 Properties of Collecting Identify and state Share ideas. Properties of Classify squares, Complete a table Art plane shapes Sorting the properties of plane shapes – rectangles and triangles showing properties Make patterns Classifying squares, number of sides according to sides and of the plane shapes using plane Recording rectangles and and angles. angles. e.g. shapes. triangles in terms State the number of sides of sides and and angles in given plane Shape No. of No. of SIDES ANGLES angles shapes. Record the properties of squares, rectangles, triangles on tables. Closed and Identifying Identify closed Develop self- Closed and Identify closed and open Identify closed and Art open shapes Differentiating and open shapes reliance. open shapes shapes and note the open shapes from Draw closed Drawing differences between given diagrams. and open shapes Recognising them. Identify inside, boundary Draw closed and open outside and on the shapes. boundary of plane Recognise that closed shapes shapes have a boundary; OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION inside and outside. Identify inside, outside and on the boundary of given closed shapes. Polygons Sorting Classify and Observe Polygons up to Sort a given set of Identify and name Language Naming name polygons relationships six sides. polygons according to polygons from Skills Recording according to the carefully the number of sides and given information Use technical Drawing number of sides angles. language of and angles. Name sets of polygons mathematics. Recognise that e.g. the set of triangles, polygons are quadrilaterals, pentagons closed plane and hexagons. shapes with all Record the properties of its sides straight. these polygons on a given table. Draw different triangles, quadrilaterals, pentagons and hexagons. Type of angles Using Identify and Develop accuracy Types of angles Identify right angles. Identify and name measuring name angles in measuring. -right, acute, Use cardboard right these angles from a instruments according to size obtuse, and angles to show angles given set of angles Identifying Draw and straight. greater than a right right, obtuse, Communicating measure angles angle; less than a right acute and straight. Comparing of given sizes angle and equal to two Measure and name Drawing using the right angles. given angles. protractor Name these angles – Draw and name obtuse, acute and straight angles as right, angles. acute, obtuse and Identify the right angle, straight. OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION obtuse angle, acute angle and straight angle from a given set of angles. Draw angles of given sizes and measuring them using the protractor. Recognising Defining Differentiate Develop Points, lines, Use dots to fill up the Draw Art points, lines and Drawing between lines confidence in and line space between two given representation of Make patterns line segments Naming and line completing tasks segments dots lines and line involving line Discussing segments Discuss the picture segments segments Communicating formed to bring out that Identify line a line segment is a set of segments and lines points. from given Use arrows to extend the diagrams. line segment in both Name line directions segments using e.g letters. Discuss the representation of the line formed to establish the fact that a line goes on and on in both directions and a line is made up of a set of points. Discuss the difference between lines and line segments. Use letters to name points on the line to label line segments. Identify and name line OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION segment and lines given two or three points on the line. Identify and draw lines and line segments. Types of lines Classifying Identify parallel Enjoy Parallel, Identify and draw lines Identify parallel, Art lines lines (relate to mathematics horizontal that run in the same horizontal, vertical Make simple Drawing the environment) activities vertical and direction. and sloping lines line pattern Observing and draw parallel sloping lines. Recognise that lines that form a given set of using Associating horizontal, run in the same direction lines. knowledge of words and vertical and do not meet or cross and Draw parallel, parallel, images sloping lines. name such lines “parallel horizontal, vertical horizontal, lines.” and sloping lines. vertical, and Identify and draw - sloping lines. parallel lines. Recognising that lines that are parallel to the earth's skyline (the horizon) are horizontal lines). Identify and draw horizontal lines. Identify and draw vertical lines. Identify and draw sloping lines using the environment e.g. V-roof of a house. OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Testing for Identifying Identify Develop team Congruent line Identify line segments, Identify congruent congruency Comparing congruent line - spirit segments, angles and polygons. line – segments, with respect to Observing segments, angles angles and Identify line segments of angles and line segments, Measuring and and polygons. polygons. equal lengths, angles of polygons from angles and testing for equal sizes and polygons given diagrams polygons congruency. of equal size and shape. Use the word “congruent” to name equal line – segments, equal angles and polygons of same size and shape. Test for and identify congruent line segments, congruent angles and congruent polygons, using edges of paper, angles made from cardboard strips and templates of polygons Lines of Using pupil- Identify lines of Appreciate Lines of Fold geometric cut-outs Draw lines of Art symmetry manipulated symmetry of symmetry in symmetry on to find lines of symmetry on given Drawing and aids squares, circles, nature e.g. shape plane shapes. symmetry. shapes. colouring Observing rectangles and of butterflies Use mirrors and carbon Identifying lines of mirror patterns. Drawing other shapes. paper to show symmetry symmetry on given Identifying of given shapes. diagrams. Communicating Draw lines of symmetry Identify the on given shapes. number of lines of Identify all the lines of symmetry on given symmetry on given shapes. shapes. FRACTIONS OBJECTIVE AREAS OF TOPIC METHODS/ SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION FRACTIONS Computing Find fractional Work Fractional Find fractional Find Fractional Language Finding Grouping parts of given cooperatively parts of parts of given parts of given Skills fractional parts Sharing quantities quantities quantities by quantities using Use the language of given Shading and grouping, sharing, sets of objects of mathematics quantities. colouring shading and e.g. in communicating colouring Find 3/5 of 20 e.g. I spent one e.g. exercise books. fifth of my money ¼ of 12 = 3. on icicles. ¼ ¼ ¼ ¼ 3 of 12 = 9 4 ¼ ¼ ¼ ¼ 9 DIAGRAM Equivalent Using charts and Recognise sets of Work in the Equivalent Use charts and Write sets of fraction. diagrams equivalent imagination fractions as diagram to identify equivalent Explaining fractions. naming the and name a set of fractions (using Writing same fraction equivalent fractions fraction charts. Generalising for a given fraction Find equivalent OBJECTIVE AREAS OF TOPIC METHODS/ SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION Applying rules Describe fractions for given equivalent fractions fractions using a Write a rule for rule. finding equivalent Find out if the fractions and use two fractions are this rule to find equivalent by sets of equivalent using these cross fractions. products. Use cross products to check for equivalent fraction e.g. ½ = 6/12 then 1 x 12 = 12 and 2 x 6 = 12 as shown through cross multiplication so the fractions are therefore equivalent. Comparing Comparing Recognise that Enjoy Compare Folding, shading, Use fraction fractions fractions fractions can be mathematics fractions: cutting and charts to compare Recognising compared activities -Unit fractions. labelling strips of unit number patterns . -Fractions with cardboard of equal fractions,fractions Generalising the same length to show unit with the same Using pupil- numerator fractions. numerator, and manipulated aids -Fractions with fractions with the the same Use a fraction chart same denominator to compare and denominator. write number Compare sets of sentences to show fractions by comparison of unit inserting the fractions. symbols Use fraction charts > is greater than to compare < is less than OBJECTIVE AREAS OF TOPIC METHODS/ SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION fractions with the = is equal to same numerator. Use fraction charts, (1) 2 5 3 3 diagrams, and 2 number lines to (2) ½ 4 compare fractions with the same (3) 3 7 denominator 4 8 Use the Number line comparison activities symbols >,<, =, to Quiz write number sentences to show comparison of fraction with the same numerator. Use fraction charts, diagrams, number lines to compare fractions with the same denominator . . . . - Use the comparison symbols >, <, =, to write number sentences to show comparison of fractions with the same denominator. OBJECTIVE AREAS OF TOPIC METHODS/ SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION - Identify a rule for comparing fraction with the same denominator and use the rule to compare such fractions. . Write given Computing Recognise that Apply previous Fraction in Write a set of Identify fractions Art and Craft. fractions in Identifying and fractions can be knowledge lowest terms. equivalent fractions in the lowest lowest terms. using rules written in lowest intelligently to for a given terms. Science. Recognising and terms solve problems fraction. using number - Complete Social Studies. patterns 1/3 = 2 = 3 = given 6 9 sentence to 4 = 5 = 6 . 12 15 18 show fraction Select the fraction in lowest in lowest terms term. from the set of equivalent fractions -1/3, 2/6, 3/9, 4/12, 5/15, 6/18 Write and apply a rule for finding fractions in lowest terms. Find all the factors of pairs of numbers. Identify and use the highest common factor of pairs of numbers. OBJECTIVE AREAS OF TOPIC METHODS/ SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION MEASUREMENT OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION MEASUREMEN Grouping lengths Compare different Sharing "lengths" Lengths can be Comparing metre Making a chart to show Social Studies – T in order. lengths using with different measured in and centimetre, lengths that can be plan of school and LENGTH. centimetres, metres measurement. centimetres, metre and measured in centimetres, compound. and kilometres. Listening to each metres; kilometres kilometre. Listing metres and kilometres. Measuring in other. among other units. lengths that can be km, m and cm. measured in cm m km centimetres, metre and kilometre. Length of Length of Distance Discussing reasons book Room. a vehicle Height Perimeter travel. why long distances of pupils of school Length of are measured in Yard Road or kilometres. Length of Street etc Recognising that Path way built in 100 m = 1 km Distance Commu- 100 cm = 1 m. of races nity. OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Estimating Investigating Compare and Developing Lengths can be Estimating and Making a table to show Comprehension – lengths using lengths. Estimate length of confidence measured in measuring objects objects, estimated and passage on standard a variety of sharing with each smaller units – in millimetre, measured length. measuring of measurements. objects.. other. millimetres, centimetre and lengths in the Listening to each centimetres. metre. Recording Objects Estimated Measured environment. other the estimated and Smaller units can measured lengths Stick of be converted to on table. chalk larger units – Comparing and fingernail ex book millimetres to discussing the pencil centimetres, information on the centimetres to table. metres, metres to kilometres. Converting Converting Convert millimetre Show willingness Lengths can be Using metre strips Making chart to show Social Studies – linear smaller units to to centimetre, to work together converted from marked off in measurement of a variety of map work – measurements larger units using centimetre to metre in groups, smaller units to millimetre and objects and conversion. distance of one from one SI unit decimal and metre to willingness to larger units - centimetre, pupils place to another. to another – notations. kilometre using share and millimetre to will measure a smaller to larger. decimal notation appreciate each centimetre, variety of objects. OBJECTS MEASURE- DECIMAL Science other. centimetres to Group Work. MENT. measuring growth metre, metre to 26 mm = 2 cm 6 m Length 21 cm - 0.21 m – Germination kilometre using = 2.6 cm. of distance travelled OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION decimal notation. 19 mm = 1 cm 9 Book – force writing mm = 1.9 cm. poems to help Length 57 cm - 0.57 m 59 cm = 0.59 m. of desk pupils to 68 cm = 0.68m. remember Length 18 mm 1 cm 1.8 cm patterns. Recognising a rule of 8 mm fingernail for changing from a smaller unit of Length 27 mm 2 cm 2.7 cm measure to a larger of 7 mm unit of measure. eraser Converting Converting Convert centimetre Willingness to Length can be Using metre strips Making chart to show Social Studies – linear larger units to to millimetre, appreciate, share converted from and a variety of Map Work – measurements smaller units kilometre to metre. and work together larger units to objects seeing a OBJECTS LARGER SMALL calculate distance from one SI unit using decimal in group. smaller units to pattern. UNITS UNITS from one place to to another – notation. Care taken when smaller units. 2.4 cm = 24 mm Height of 3.5 m 350 cm another. larger to smaller. measuring. Centimetre to 5.7 cm = 57 mm a friend Science – Growth millimetre, metre 1.9 cm = 19 mm Height of - forces to centimetre and 3.2 m = 320 cm chalk box Writing poems to Length of kilometre to metre. 1.6 m = 160 cm a stick of remember pattern. 5.9 m = 590 cm. chalk Length of a Small plant Length of A fruit e.g. flamboyant Perimeter of Measuring Find the sum of the Willingness to Perimeter is the Using a tape Complete table Comprehension – plane shapes lengths. lengths of the sides participate in distance around a measure or metre Shape Perimeter a passage on (bounded) Finding the sum of any plane shapes group activities. plane shape e. g. stick to measure athletics sports. of lengths. which is equal to the top of a the distance around its perimeter. cardboard box.. a plane shape. Perimeter can be Measure the calculated by lengths of all the adding all the sides of a plane OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION lengths of a shape. shape. Finding the sum of all the sides. Deriving the Using formula to Deriving the Willingness to Perimeter of square Comparing and Complete table School athletic formula for find perimeter of formula for finding participate in and rectangles discussing lengths sports and school finding the squares and Perimeter of a group activities. of squares and Shape Peri Formula gardening. perimeter of a rectangles. square and a Square rectangle. Stating a plane shape. rectangle. P = 4 s formula for 12 perimeter of 5 5 Rectangle rectangle and 12 P = 2(length + square. breadth) 7 7 7 7 29 11 11 29 19 3 3 19 OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Area Determining the Finding out that the Working co- The area of regular Geoboards, square Each child shows a shape on Art – Making area of regular area of a shape is operatively to and irregular shape grids, unit squares geoboard or square grids geoboards, grids. Estimating the and irregular determined by complete a can be calculated Estimating the with the given area. area of any plane shapes using geo counting of number common task. by counting number of squares shape by boards, or grids. of unit squares it squares on a grid. to tile a regular counting the contains. shape or irregular number of shape. squares it Making regular and occupies. irregular shapes, and find area by counting the number of squares on grid. Find the area of a Calculating the Calculate the areas Show willingness The area of some Using a grid pupils Complete Table Art plane shape by area of regular of regular shapes to work in group. common shapes find the area of Painting calculation. and irregular using formulae. can be calculated some common Shape Area Spraying of shapes using by using a formula shapes. insecticide in the geoboards, grids. – area of rectangle garden. - area of square.. Using grid of 18 unit-squares Using formula = L x W = 6 x 3 = 18 units2 OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Solving Solve problems Show willingness Word Problems Solving problems Solve 1-step and 2-step Agriculture – problems Solving problem related to everyday to work in groups involving . from the problems involving the four kitchen garden involving area involving area life activities. to complete a 1-step and 2-step environment which operation applied to related problems. and perimeter. and perimeter project. stages for area and involve area and measurement of length. using SI units perimeter. perimeter only. Solve problems based on area and perimeter. CAPACITY OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION Capacity Estimating Estimate, measure Sharing and co- Capacity in litre. Estimating, A 2-litre container can be Language. Arts: recording and record the operating with measuring and filled with – 1 litre water. Reading and measuring capacity of given others in recording the completing containers in litres. activities. capacity of sentence. containers of different shapes and capacities in litre. OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION Estimate, measure Capacity in Calculating the How many millilitres of Art and Craft – and record the millilitres 1000ml number of water can fill a 1L Making millilitre capacity of given = 1L millilitres in a litre container? strips containers in 10ml = 1cl by dividing a millilitres. 100cl = 1L centilitre into 1cl = 10ml x 100 = millilitres. 1000ml = 1L ml 2 0 1L 1 Milli- 1 litre Identify a 100ml container. OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION 2 0 - Making millilitre strips to paste on containers. - Estimating, measuring and recording the capacity of given containers in millilitres. Recording Recording the Sharing results - Completing A small drink bottle Lang. Arts: discussing estimated and Cont. Est. Meas. and discussing contains __ml of drink. Reading and measured capacity Ice- 50ml ___ the table completing of each container Cream sentence. on a table Cont. Art: Draw up discussing same. table. Small 200ml ___ Drink Health Ed: Bottle Amount of liquid OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION one must Tussedryl150ml ___ consume per Bottle day. Calculating Convert millilitres Co-operating to Conversion - Measuring the - Measure the capacity of converting to litres using calculate and millilitres to litres capacity of a 3L-oil container in decimal notation. convert using decimal given millilitres. Convert to measurements. notation. containers decimal notation. using a litre 2538ml = __L. Convert container into L and ml. 7.942L calibrated = L ___ml. (divided) in millilitre stating capacity in millilitres, litres and millilitres. e.g. 1210ml = 1L 210ml or 1210ml = 1.210L. Writing - Recognising a Respecting each Rule: To convert Using rule to Convert to L Language. Arts: discussing rule and using other's ml to L we must convert ml to L. 3642 = ____L The art of same to convert ml contribution to divide by one 931d ml = ____L. discussion. to L. discussion thousand. OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION e.g. 9253ml = ___L 9253 = 9.253L 1000 Calculating Convert litres to Co-operating to Conversion – litres Measuring How many ml are there in Craft – Making writing millilitres. do activities. to millilitres quantities in litres; 4L 634ml? parcels. litres and recording Science: Use parcels to these measures to Materials and show conversion millilitres e.g. their uses. easily. 1L = 100ml 3L = 3 x 1000 = 3000ml. 2L 150ml = (2 x 1000) + 150ml 1L + 1L = = 2150ml. 1000ml + 1000m OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION Calculating Solve simple Working in co- Word problem Solving simple (1) If there are 6L 520ml of Language. Arts: converting, problems involving operation with involving the four problems involving water in a tank, how (1) Story- the four operations one another. operations applied the four operations many ml of water is in Telling as in without and with to capacity. applied to capacity the tank? problems. conversion e.g. without and with (2) A barrel contains 785ml (2) Reading Tom bought 5L oil, conversion. of wine. How many L problem. Jean bought 7L and ml of wine will be (3) Comprehens 450ml and Mark in 5 such barrels? ion bought 6L 30ml. understandin How much oil had g problems. they altogether? (4) Composition – writing statements to problems MASS OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION MASS. Estimating, Identify the Taking turns to Mass: Estimating the mass of Which unit is more Science measuring and appropriate unit estimate the mass The amount of items in kilograms and appropriate for Social Studies recording the for measuring the of others pupils matter an verifying using a measuring the mass mass of objects mass of different in the group or object contains bathroom scale, e.g. of each? objects. class. is called its school bag, a pupil. mass. Determining the mass of objects and recording Object g kg The mass of the results on a table. OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION objects is measured in grams and kilograms. Kilogram is used to measure heavy things. Grams are used to measure light objects. Conversion of Converting Express gram in Willingness to Conversion 1 Weighing different (a) Estimate the Science and mass grams to kilograms, and work kg = 1000 g. objects in grams using a mass of Social Studies measurements kilograms using grams in independently To change kg scale then re-writing objects in the decimal notation. kilograms and and in groups. to g multiply these answers in classroom. Converting grams. by 1000. To kilograms; and in (b) Measure the kilograms to change g to kg kilograms and grams same objects grams. divide by e.g. 3125 grams using a scale. 1000. = 3 kg 125 g. Recording the (c) Record and converted compare measurements in estimated and decimal notation e.g. actual 3125 g = 3.125 kg. measurements. Problem Solving problems Read and Working co- Problems Outlining problem Solve the Social Studies Solving involving the interpret word operatively in involving the solving strategies. problems. and Science. involving maaa four operations. problems. groups to four Solving problems (1) If 1 box Solve one and complete operations. involving the four weighs 135 kg two step word activities. Word operations without and what is the problems problems. with conversion. total weight of involving mass. 12 similar boxes? (2) The total mass of 3 boxes is OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION 250 kg. If the weight of two of two of then are 68 kg and 79 kg, what is the weight of the third box? TIME OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION TIME Reading, Use the 24-hour Co-operating and Time concept Use of the calendar. Complete the Social Studies: Using the 24- calculating and clock to read and sharing ideas. – year, decade, Showing the following: (1) Cricket – hour clock differentiating write time. Working century relationship between a 12 months = ____ scores notation time. - Show the collectively on 1-year 365¼ year and a decade; a year(s). recordings Year, decade, relationship time projects. or 366 days. year and a century; a ____ Years = 1 . century between a year, a 1 Decade – 10 decade and a century. decade. (2) Develop- decade and a years. Stating the number of 50-years = ____ ment century. 1 Century – years in a decade, in a decades. Monu- 100 years. century and the ____ Years = 1 ments Definition of a number of decades in century. (3) Historical leap year to a century. Events. include century years. Time Reading, Convert smaller Co-operating and Time Showing the Complete the Social Studies: conversion calculating and units of time to sharing ideas. Conversion. relationship between following :- (1) Develop- differentiating larger units and Minutes to minutes and hours; ¼ of a month = __ ment. Introduction to time. vice-versa. hours; hours and days, days weeks. (2) Monu- time zones Telling time of Finding time Hours to days; and weeks; weeks and ¼ hour = __ ments. countries sharing zones on the Days to weeks; months; months and minutes. (3) Historical the same time world map. Weeks to year; year and decade; ½ a century = __ Events. zone. months; decade and century. years. etc. Months to - Stating the years; number of Determining the OBJECTIVE AREAS OF METHODS/ TOPIC SKILLS KNOWLEDGE ATTITUDE CONTENT EVALUATION STRATEGIES- INTEGRATION Years to minutes in an time in countries decades; hour; hours in a sharing the same Decades to day, days in a time zone, century and week; weeks in a vice-versa. month; months in Time zone a year; years in a concept, decade; decades in a century. - Converting minutes to hours; hour to days; days to weeks; weeks to months; months to years; year to decade etc. and vice-versa. - Solving simple problems involving the four operations. - Using the map of the world to find various time zones. MONEY OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION MONEY: Counting money, Solving one-step Appreciate the Word - Solving simple - One book Grammar – recording change and two-step need for good problem:- one-step costs $24. Subject and verb Calculating money problems. record keeping in involving the 4 money Find the cost agreement money any business – operations as problems of four exchange enterprise. applied to involving the books. money. four operations. - If 10 OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION - Estimating mangoes cost cost of more $200 what is than one the cost of article. five - Calculating mangoes? bills (using realistic prices). Calculating Convert foreign Appreciating the Currency - Discussing the If US$1.00 = Social Studies exchange rates. currency to local value of money. conversion different G$150. What is Currencies related Recording rates currency and vice using current currencies the value of these to other countries1 Reading rates. versa. exchange rate used in the amounts in Caribbean. Guyana dollars? (a) US$10.00 - Discussing the (b) US$7.00 way foreign (c) US$25.00 currency is written in banks and on cheques (e.g.) G$10, T.T$5.00 US$20.00 C$50.00 Bds$2.00 - Collecting and displaying foreign exchange rate N.B. Rates must be checked at a Bank before lesson is taught - Discussing the different currencies used in the OBJECTIVES AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Caribbean in relation to the local currency. - Solving simple problems involving conversion of foreign currency to local currency. GRAPHS OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION GRAPHS Identifying Describe a Appreciate the Graphs: - Collecting and Projects on Art and craft. Collecting and pictographs, bar pictograph, bar- value of neatness pictographs displaying data graphical displays Science displaying data graph and point graph and point in graphical and bar graphs on simple for data collected Language on simple graphs. graphs in relation representations. and point pictographs, for a specific Environmental pictographs, to data presented. graphs. bar graphs and group assignment. audit. bar-graphs and Scales used for point graphs. Spelling of words point graphs. graphical Road safety displays. Pictographs, Differentiating Read and Willingness to Graphs: - Reading and - Read and Art and craft. bar-graphs, among the interpret share ideas pictographs, interpreting interpret Science point graphs various graphical pictographs, bar- working in bar graphs, data on simple information Language and pie charts. representations. graphs, point groups. point graphs pictographs on given Environmental graphs and pie and pie charts. and bar graphs pictographs, issues. charts. Scales used for where one bar graphs, Spelling of words graphs. picture point graphs Road safety Angular represents one and pie measurement more than one charts. for the pie objects. - Pupils draw a OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION chart. - Reading and variety of Interchange of interpreting graphs to axes to vary data on simple illustrate data some of the given point collected in displays. graphs and pie group Concepts: charts. projects. Pictograph Frequency table Point graph Scale Axes Sector Construct and Identifying tally Read tally charts Recognise that Tally charts - Discussing the - State the Road safety data. read tally charts charts and and frequency data when and the meaning of numerals that and frequency frequency tables. tables and make presented in method for tally and how given tallies Classification in tables. deductions. graphical form constructing tally are stands for and Science and can distort the tallies. written. vice versa. Social studies. true picture How to - Using - Construct sometimes. convert a tally matchsticks/ tally charts Conducting chart to a - popsicle sticks and tables surveys in frequency and other using given students’ table. similar objects information. preferences. Concepts: to show - Generation of Pictograph numbers that random data Frequency are greater using dice table then five. and playing - Converting a cards, etc. tally chart to a and frequency displaying table, and vice the versa. information - Collecting and in an displaying appropriate OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION information on tabular form. tally charts and table from random events using dice and playing cards. - Reading and interpreting information on tally charts and frequency tables. Construct Distinguishing Discuss the Sharing Tally charts - Displaying Social surveys Social Studies. frequency tables the difference meaning of the responsibilities Frequency given data collection using tallies and between a term average. while working on tables information on and tabular Community social use these to find frequency table Describe and find a collective task. Average and a tally chart. displays. surveys. the mode of a and a tally chart. the mode of a set types of - Counting the set of data. Converting a of data. averages. tallies to build tally chart to a a frequency frequency table. The mode is table e.g. an average. The are other shoe tally frequency averages such size as the mean 3 llll 4 and the median. 4 llll l 6 Concepts: Pictograph 5 lll 3 Frequency table 6 ll 2 Point graph Scale Axes - Determining from information on OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION table the event that occurs most frequently. Example: Which shoe size occurs most frequently (size 4). - Use the term "MODE" to name the most frequent occurrence. - Finding the mode from given frequency tables. Using Drawing a bar Describe and use Working in Tally Charts - Reading Construct bar Art: Drawing of information graph from data given in a groups to Frequency information on graphs using bar graphs. given in tables information table to construct complete a tables tally charts and information given or tally charts to collected. a bar graph and project. Bar graphs table. in tables and tally Social Studies: construct bar vice versa. Concepts: - Constructing charts. Showing the main graphs and vice Pictograph bar graphs economic activity versa. Frequency using done in your area. table information Point graph given in tables Scale or tally charts. Axes - Constructing tables or tally charts using information on bar graphs. OBJECTIVE AREAS OF METHODS/ TOPIC CONTENT EVALUATION SKILLS KNOWLEDGE ATTITUDE STRATEGIES- INTEGRATION Constructing Constructing Describe Recognise the Pictograph, bar - Using Read, interpret Language: pictographs, bar tables from data information responsibility of graphs and information and construct Improving graphs and generated. contained in each member of a point graphs. contained in pictographs, bar vocabulary skills point graphs to Constructing tables group in doing a Concepts: tables and tally graphs and point and Reading show the graphs to match constructed. collective Pictograph charts to graphs from given skills. information data on tables Deduce exercise. Frequency construct information in contained in constructed. information Appreciate the table pictographs table and tally tables and tally presented either importance of Point graph and point chart. charts. in tabular or neatness in Scale graphs. graphical forms. graphical Axes - Graph paper displays. and the goeboard are ideally suited for the exercises.