Mixed number operations - combination 9

  • Mixed number operations - combination 9
  • Course: Mathematics
  • Grade: Year 7
  • Section: Patterns and algebra
  • Outcome: Balancing equations - Equivalent number sentences
  • Activity Type: Printable
  • Activity ID: 4351

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United Kingdom – National Curriculum expand/collapse

  • KS2 – Key Stage 2
    • KS2.Ma2 – Number and algebra
      • Knowledge, skills and understanding

        • Solving numerical problems

          • KS2.Ma2.4 – Pupils should be taught to:

            • KS2.Ma2.4.d – Recognise, represent and interpret simple number relationships, constructing and using formulae in words then symbols [for example, c = 15 n is the cost, in pence, of n articles at 15p each]

        • Numbers and the number system

          • KS2.Ma2.2 – Pupils should be taught to:

            • Number patterns and sequences

              • KS2.Ma2.2.b – Recognise and describe number patterns, including two- and three-digit multiples of 2, 5 or 10, recognising their patterns and using these to make predictions; make general statements, using words to describe a functional relationship, and test these; recognise prime numbers to 20 and square numbers up to 10 x 10; find factor pairs and all the prime factors of any two-digit integer

        • Calculations

          • KS2.Ma2.3 – Pupils should be taught to:

            • Number operations and the relationships between them

              • KS2.Ma2.3.c – Understand the use of brackets to determine the order of operations; understand why the commutative, associative and distributive laws apply to addition and multiplication and how they can be used to do mental and written calculations more efficiently

Australia – Australian Curriculum expand/collapse

  • Year 4
    • Number and Algebra
      • Patterns and algebra

        • ACMNA081 – Explore and describe number patterns resulting from performing multiplication

  • Year 5
    • Number and Algebra
      • Patterns and algebra

        • ACMNA107 – Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction

New Zealand – National Standards expand/collapse

  • 5 – Year 5
    • 5.NA – Number and algebra
      • 5.NA.3 – Describe spatial and number patterns, using rules that involve spatial features, repeated addition or subtraction, and simple multiplication.

  • 6 – Year 6
    • 6.NA – Number and algebra
      • 6.NA.3 – Describe spatial and number patterns, using:

        • 6.NA.3.b – Rules that involve spatial features, repeated addition or subtraction, and simple multiplication.

United States – Common Core State Standards expand/collapse

  • 4 – Grade 4
    • 4.OA – Operations & Algebraic Thinking
      • Mathematics

        • 4.OA.1 – Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

      • Mathematics

        • 4.OA.5 – Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.