Transcript Level 5 mathematics

Using and Applying
mathematics
0011 0010 1010 1101 0001 0100 1011
1
2
4
Aims:
• To consider the different elements of the
Using and Applying strand
• To understand the progression within
each of the elements
• To know the 5 different types of problem
• To understand the range of strategies
needed to solve problems
0011 0010 1010 1101 0001 0100 1011
1
2
4
Quick and easy Using and Applying examples.
• 0010
Jemma
of a0100
number.
0011
1010 thinks
1101 0001
1011
She says,
'Add 3 to my number and then multiply the result by 5. The
answer is 35'.
What is Jemma's number?
• I multiply two numbers and the answer is 48
• Odd one out:
1 4 19 25
1
2
• Odd one out: square, rectangle, equilateral triangle, trapezium
• Can you join all 9 dots using only four straight lines (you
must not take your pencil off the page)?
• • •
• • •
• • •
4
Using and applying mathematics in the
electronic Framework
0011 0010 1010 1101 0001 0100 1011
One of the aims of the Primary Framework is to give greater
attention to using and applying mathematics. The Using and
applying mathematics strand has five themes and there is
progression built into each theme.
1
2
The five themes are:
• Solving problems
• Representing – analyse, record, do, check, confirm
• Enquiring – plan, decide, organise, interpret, reason, justify
• Reasoning – create, deduce, apply, explore, predict, hypothesise,
test
• Communicating – explain methods and solutions, choices,
decisions, reasoning
4
0011 0010 1010 1101 0001 0100 1011
Solving problems
1
2
4
Possible barriers for children when problem
solving could be:
0011 0010 1010 1101 0001 0100 1011
• Unfamiliarity with this type of problem;
• Relying on trial and error and hit-and-miss
strategies;
• Thinking that there was only one solution;
• Not reading the problem carefully enough;
• Not recording carefully enough the data they
generated;
• Not talking about the problem with other
children;
• Not annotating the problem sheet;
• Not being secure enough with the strategies.
1
2
4
Types of problems.
0011 0010 1010 1101 0001 0100 1011
1.
2.
3.
4.
Word problems
Finding all possibilities
Logic puzzles
Finding rules and describing
patterns
5. Diagram problems and visual
puzzles
1
2
4
Word Problems
0011 0010 1010 1101 0001 0100 1011
• Choose and do a calculation
1
2
• Use the result of the calculation
to answer the problem
4
Finding all possibilities
0011 0010 1010 1101 0001 0100 1011
• Systematic – generating lists and
organising/recording data
• Need to sort the information
• No calculations identified in the problem
• More than one answer
1
2
4
Logic puzzles
0011 0010 1010 1101 0001 0100 1011
• No calculations involved
• Given just enough information to
solve
• The challenge is to hold one piece
of information while interpreting
another
1
2
4
Finding rules and describing
patterns
0011 0010 1010 1101 0001 0100 1011
• Develops reasoning skills
• Children may develop strategies as they
progress
• Children may not find the most efficient
way
1
2
4
Diagram problems and visual
puzzles
0011 0010 1010 1101 0001 0100 1011
• Important to be systematic
1
2
• Develops a range of ways of recording
4
Do you provide equal teaching
and learning opportunities for
each of the five elements of the
Using and Applying strand and
for each of the five different types
of word problems?
0011 0010 1010 1101 0001 0100 1011
1
2
4