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.