Number Number sentence sentence patterns patterns 2-digit calculation We can make equivalent number sentences to help solve problems. eg Henri keeps 8 chickens and 2 roosters. His mother has the same number of fowls, but she has 6 chickens. How many roosters does she have? Working: 8 + 2 is the same as 6 + ? 8 + 2 is 10 which is the same as 6 + 4, so Henri’s mother has 4 roosters. 1 Make three number sentences which have the same total as: a 4+7 ____________________ ____________________ ____________________ b 5+8 ____________________ ____________________ ____________________ c 11 + 6 ____________________ ____________________ ____________________ d 16 + 9 ____________________ ____________________ ____________________ e 18 + 6 ____________________ ____________________ ____________________ 2 Match the equivalent number sentences and write them showing equivalence. 17 + 2 = 15 + 4 eg 17 + 2 15 + 4 __________________________________ a 17 + 9 12 + 13 __________________________________ b 23 + 6 18 + 8 __________________________________ c 15 + 10 26 + 5 __________________________________ d 18 + 7 16 + 13 __________________________________ e 22 + 5 19 + 6 __________________________________ f 19 + 12 16 + 11 __________________________________ 3 Show how to use equivalent number sentences to answer the questions. a I saved $15 one week and then another $20 the next week. Jenni saved $13 the first week and wants to equal my savings in the next week. How much more does she have to save? ________________________________________ = ________________________________________ b There are 28 boys and 12 girls in one bus on the excursion. 16 girls get into the other bus and 24 boys follow. Do the buses have equal loads? ________________________________________ Make a table 82 = ________________________________________ Annie has ten pets – some dogs and some cats. Make a table to show the possible numbers of dogs and cats she could have. ACMNA076 Number and place value • Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder. ACMNA083 Patterns and algebra • Use equivalent number sentences involving addition and subtraction to find unknown quantities. Missing Missing numbers numbers Algebra 1 Find the missing numbers for these number sentences. a 7 π ______ = 21 b 9 π ______ = 18 c 5 π ______ = 25 d ______ π 4 = 24 e ______ π 6 = 30 f b 35 = ______ π 7 c 42 = ______ π 6 e 45 = 9 π ______ f 2 a 50 = ______ π 10 d 36 = 6 π ______ ______ π 5 = 35 28 = 4 π ______ 3 Match the number sentences that have the same answer. a 7π4 4π4 8π5 b 8π7 50 – 1 10 π 4 15 + 6 4 π 14 14 π 2 9π6 6π6 7π7 4 π 12 30 – 3 4π9 3 π 14 40 + 14 5π6 2π8 2π9 double 15 60 – 6 6π3 7π6 6π8 is the same as 9π3 is the same as 6π9 7π3 4 Match the story to two number sentences. Complete the number sentences. a I bought 5 cards for 95c. How much was each card? ______ b I packed 56 kg of oranges equally into 8 bags. How many kilograms in each bag? ______ c The fisherman found a muddle of 64 octopus legs on the beach. How many octopuses were in the muddle? ______ 56 ÷ 8 = ______ 8 π ______ = 64 10 π ______ = 120 5 π ______ = 95 ______ π 8 = 56 64 ÷ 8 = ______ 95 ÷ 5 = ______ 120 ÷ 10 = ______ d I rode my bike for 120 km over 10 days. How many km did I average each day? ______ ACMNA076 Number and place value • Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder. ACMNA082 Patterns and algebra • Solve word problems by using number sentences involving multiplication or division where there is no remainder. ! 83

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