Place Value and Operations

Central idea:

Our numbers system is a language for describing quantities and the relationships between them.

Key Concepts:

Form, function, reflection

Lines of inquiry:

  • The Base 10 number system
  • How we use number to solve problems.
  • Selecting the most efficient method to solve problems.
Teacher questions:
  • What is the Base 10 number system? (form)
  • How do we use numbers to solve problems? (function)
  • How do mathematicians work? (function)
  • How do we know which method is the most efficient to solve a problem? (reflection)
Learning outcomes:
  • LO1. Use whole numbers up to millions and beyond in real life situations. (end of year only outcome, P = what does it mean? Write, read and use word, digits and in abbreviations e.g. 1.3 billion. HP – Scientific notation)
  • LO2. Select an efficient method for solving a problem: mental estimation, mental computation, written algorithms, by using a calculator.(We decided this is to read – SOLVE real life problems not select, assessment task to be set up so they have to choose which method to use to solve the problems, write down the equation/show your working)
  • LO3. Investigate number patterns using factors, multiples and prime numbers. (P = find the factors – factorisation and prime factorisation, know them, recall definitions of, prime and composites. HP investigate other number patterns = Square numbers, trianglular numbers, Pascal, Fibonnacci, Goldbach’s Conjecture.)
  • LO4. Use mental and written strategies for adding, subtracting, multiplying and dividing decimals in real-life situations. (P = ?  HP = ?)
  • LO5. Consolidate multiplication and division facts (P = 5 seconds recall of 2-9 times table – 72 questions 6 minutes,  HP = 3 minutes and 95%)

 

Follow the links below for more information about our whole number unit for mathematics:

Benchmarks

Place Value

  • MAT.NC.5.1 – 1.  model numbers from thousandths to millions or beyond using the base 10 place value system.
  • MAT.NC.5.2 – 2.  model decimal fractions to hundredths.
  • MAT.NC.5.8 – 8.  read, write, compare numbers from thousandths to millions or beyond.
  • MAT.NC.5.21 – 21.  use whole numbers up to millions or beyond in real-life situations.

Operations

  • MAT.NC.5.9 – 9.  describe mental and written strategies for multiplication and division.
  • MAT.NC.5.10 – 10.  add, subtract and multiply whole numbers.
  • MAT.NC.5.11 – 11.  divide whole numbers by a one-digit divisor.
  • MAT.NC.5.18 – 18.  select and use an appropriate sequence of operations to solve word problems.
  • MAT.NC.5.19 – 19.  select an efficient method for solving a problem: mental estimation, mental computation, written algorithms, by using a calculator.
  • MAT.NC.5.20 – 20.  use strategies (including rounding) to evaluate the reasonableness of answers.

 

 

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