1. Implementation 1.Review the mathematical concept. 2.Review the problem solving steps. 3.READ: Children read the part that is asking them to find something out. 4.UNDERSTAND: Children explain what they need to find out. 5.Children identify what information they will need to find it out. 6.Remove the coloured rectangle. 7.Children find the information they need to find it out. 8.CHOOSE A STRATEGY: Children identify strategies that they could use to find it out. 9.USE A STRATEGY: Children use a strategy to find it out. 10.Children record their thinking as they find it out. 11.CHECK: Children reread the part that asked them to find something out. 12.Children check that they have found it out. 13.Children check they have recorded their solution correctly. 14.Children follow the problem solving steps to solve the 2 nd level of the problem, with minimal teacher guidance. 15.Children who solve the 2 nd level, follow the problem solving steps to solve the 3 rd level of the problem independently. 16.Children use the problems as a guide to create their own problem, either alone or in pairs/small groups. 17.Children solve their own problem. Throughout the lesson, children share solution strategies. At the end of the lesson, children explain how they created their own problems.

2. Problem Solving Frequencies, Trials Create your own problem! Now solve it! Statistics and Probability 17 Joan spins these two arrows. She adds the numbers in the sections where the arrows stop and gets a sum of 4. What sum is Joan most likely to get?

3. Problem Solving Frequencies, Trials Create your own problem! Now solve it! Statistics and Probability 17 Joan spins these two arrows. She adds the numbers in the sections where the arrows stop and gets a sum of 4. She spins the spinner again. How many different ways can she get a sum of 7?

4. Problem Solving Frequencies, Trials Create your own problem! Now solve it! Statistics and Probability 17 Ann recorded the colour of 50 cars that drove past her street corner in a table. What is the frequency of red cars? If the experiment was repeated with a trial of 100 cars, what do you predict the frequency of white cars would be?

5. Problem Solving Frequencies, Trials Create your own problem! Now solve it! Statistics and Probability 17 Fiona spins this arrow 100 times. Which table is most likely to show the frequency of each outcome?

6. Problem Solving Frequencies, Trials Create your own problem! Now solve it! Statistics and Probability 17 The school librarian made this table of the number of books borrowed on one day. What was the total number of books borrowed that day? What number of books were borrowed with the highest frequency? What number of books were borrowed with the lowest frequency?