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MultPlannerAM-AP

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									Transition: Advanced Multiplicative to Advanced Proportional                               Domain:        Multiplication and Division                E

Achievement                  Number: Levels Four and Five                                                                                            CA
Objectives                   Level Four
                             Number strategies and Knowledge A01:                                                                                    AC
                             Use a range of multiplicative strategies when operating on whole numbers.
                             Level Five                                                                                                              EA
                             Number strategies and Knowledge A02:
                             Use prime numbers, common factors and multiples, and powers [including square roots].                                   AA
                             Number strategies and Knowledge A06:
                                                                                                                                                     AM
                             Know and apply standard form, significant figures, rounding, and decimal place value.
                                                                                                                                                     AP
Strategies being             Problem progression           References                      Knowledge being          Resources
developed                                                                                  developed
Use exponents to solve       8 × 16 =   from 23 × 24 =     Teaching Multiplication and     Know simple powers of    Figure It Out
                               7
multiplication problems,     2                             Division (Book6)                numbers to 10,           N7/8 4.4 Calculator Power (16)
                             27 × 243 =    from 33 × 35    Powerful Numbers (73-75)        e.g. 24 = 16, 53 = 125   N7/8 4.4 Cubic Capacity (17)
including those with areas       8
                             =3                            Teaching Number Sense and                                N7/8 4.4 Growing Pains (18)
and volumes                  642 =   from 43 × 43 = 46     Algebraic Thinking                                       N7/8 4.4 Fold and Crease (19)
                                 64 =    from 82 = 64      Squaring (28)                                            N7/8 4.4 Pip’s Pay (20)
                                                           Square Roots (29)                                        NS&AT3.1 The Power of
                                 900 =    from 302 = 900   Cubes and Cube Roots (30)                                Powers (14-15)
                             3
                                 125 =    from 53 = 125    Figure It Out
                                                           N3-4.1 Using Exponents (22)
                                                           N7/8 4.4 Family Trees (13)
                                                           N7/8 4.4 Budding Squares (14)
                                                           N7/8 4.6 Powerful thought (4)
                                                           N7/8 4.6 Factor Towers (7)
                                                           N7/8 4.6 Tiling Teasers (8)
                                                           N7/8 4.6 Alien Counting (12)
                                                           N7/8 4.6 Alien Bacteria (20)
Transition: Advanced Multiplicative to Advanced Proportional                                    Domain:          Multiplication and Division
                                                                                                                                               E
Strategies being              Problem progression          References                          Knowledge being                    Resources
                                                                                                                                               CA
developed                                                                                      developed
Solve missing factor          6 × = 222 by                 Teaching Number Sense and           Know the divisibility rules                     AC
problems by reversing,        222 ÷ 6 = 37                 Algebraic Thinking                  for 2,3,4,5,6,8,9 and 10,
e.g. 263 × ? = 456 by            × 9 = 657 by              Reversals for Multiplication        e.g. 568 is divisible by 4 since
                              657 ÷ 9 = 73                 and Division (10)                   68 is divisible by 4                            EA
456 ÷ 263 = ?
                              2.4 × = 20.64 by
                              20.64 ÷ 2.4 = 8.6                                                                                                AA
                                 × 0.63 = 23.184 by
                              23.184 ÷ 0.63 = 36.8
                                                           Teaching Number Sense and
                                                                                                                                               AM
Use estimation to check the   48 × 32 ≈ 50 × 30 = 1500                                         Identify highest common
answers to multiplication     196 × 14 ≈ 200 × 14 = 2800   Algebraic Thinking                  factors and least common
and division problems         2718 ÷ 9 ≈ 2700 ÷ 10 = 27    Checking Multiplication by          multiples,                                      AP
                              3283 ÷ 49 ≈ 3300 ÷ 50 =      Estimation (11)                     e.g. Highest common factor
                              4966                         Checking Division by                of 48 and 64 is 8
                              7.7 × 4.3 ≈ 8 × 4 = 32       Estimation (11)
                              57.6 ÷ 8.2 ≈ 56 ÷ 8 = 7      Figure It Out
                              591.61 ÷ 88.3 ≈ 600 ÷ 90     N 3-4 (15,16)
                              ≈ 7                          BF 3-4 (2,3,8-9)
                                                           N 7/8 4 L 2 (6-7, 13)
                                                           NS 7/8 1 L (18,20)
                                                           NS&AT3.2 (6-7) Pizza Splits
                                                           N3(4) Standing Room Only
                                                           N 7/8 4 L 2 (14) Divisive Tactics
                                                           N 3-4 (18) Division Delights
                                                           N3-4 (19) Digital Dilemmas
                                                           NS 7/8 1 L (24) Division
                                                           Dilemmas
Transition: Advanced Multiplicative to Advanced Proportional                                   Domain:         Multiplication and Division
                                                                                                                                             E
Strategies being              Problem progression          References                          Knowledge being                Resources
                                                                                                                                             CA
developed                                                                                      developed
Solve missing factor          6 × = 222 by                 Teaching Number Sense and           Know what happens when a                      AC
problems by reversing,        222 ÷ 6 = 37                 Algebraic Thinking                  whole number or decimal is
e.g. 263 × ? = 456 by            × 9 = 657 by              Reversals for Multiplication        multiplied or divided by a
                              657 ÷ 9 = 73                 and Division (10)                   power of ten,                                 EA
456 ÷ 263 = ?
                              2.4 × = 20.64 by                                                 e.g. 4.57 × 100 = 457,
                              20.64 ÷ 2.4 = 8.6                                                6.3 ÷ 0.9 = 7                                 AA
                                 × 0.63 = 23.184 by
                              23.184 ÷ 0.63 = 36.8
                                                           Teaching Number Sense and
                                                                                                                                             AM
Use estimation to check the   48 × 32 ≈ 50 × 30 = 1500                                         Perform short multiplication
answers to multiplication     196 × 14 ≈ 200 × 14 = 2800   Algebraic Thinking                  and division with whole
and division problems.        2718 ÷ 9 ≈ 2700 ÷ 10 = 27    Checking Multiplication by          numbers and decimals,                         AP
                              3283 ÷ 49 ≈ 3300 ÷ 50 =      Estimation (11)                     using standard algorithms,
                              4966                         Checking Division by                and explain how they work.
                              7.7 × 4.3 ≈ 8 × 4 = 32       Estimation (11)                     Perform multiplication of
                              57.6 ÷ 8.2 ≈ 56 ÷ 8 = 7      Figure It Out                       multi-digit whole numbers
                              591.61 ÷ 88.3 ≈ 600 ÷ 90     N 3-4 (15,16)                       and decimals, using a
                              ≈ 7                          BF 3-4 (2,3,8-9)                    standard algorithm, and
                                                           N 7/8 4 L 2 (6-7, 13)               explain how it works
                                                           NS 7/8 1 L (18,20)
                                                           NS&AT3.2 (6-7) Pizza Splits
                                                           N3(4) Standing Room Only
                                                           N 7/8 4 L 2 (14) Divisive Tactics
                                                           N 3-4 (18) Division Delights
                                                           N3-4 (19) Digital Dilemmas
                                                           NS 7/8 1 L (24) Division
                                                           Dilemmas

								
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