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 Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 On a graph about the pets owned by children in a class, there are 6 more dogs than cats. But the graph is potentially misleading, making it look like that only 1 child owns a cat. What might the scale on the vertical axis be? (a) Base line is 0 (b) Base line is 6 (c) Base line is 6 lower than the number of dogs (d) Base line is 7 lower than the number of dogs

3. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 On a graph about the pets owned by children in a class, there are 4 more dogs than cats. But the graph is potentially misleading, making it look like that only 1 child owns a cat. What might the scale on the vertical axis be? (a) Base line is 0 (b) Base line is 4 (c) Base line is 4 lower than the number of dogs (d) Base line is 5 lower than the number of dogs

4. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 A graph showed that 12 children came to school by car and 8 came by bus. But the graph makes it look like 3 times as many children came by car as came by bus. What might the scale on the vertical axis be? (a) Base line is 0 (b) Base line is 3 (c) Base line is 6 (d) Base line is 9

5. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 A graph showed that 16 children came to school by car, 12 walked and 8 came by bus. But the graph makes it look like 5 times as many children came by car as came by bus. What might the scale on the vertical axis be? (a) Base line is 0 (b) Base line is 3 (c) Base line is 6 (d) Base line is 9

6. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 A graph comparing apple sales to orange sales, shows that 950 people bought apples and 911 bought oranges. What scale would you use on the graph if you were an orange seller? What scale would you use if you were an apple seller? A graph comparing apple sales to orange sales, shows that 120 people bought apples and 111 bought oranges. What scale would you use on the graph if you were an orange seller? What scale would you use if you were an apple seller? A graph comparing apple sales to orange sales, shows that 50 people bought apples and 41 bought oranges. What scale would you use on the graph if you were an orange seller? What scale would you use if you were an apple seller?

7. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 Some friends try to kick a ball into a goal. They each kick 10 times with their left foot and 10 times with their right foot. Here are the results. Who kicked the most balls into the goal? Some friends try to kick a ball into a goal. They each kick 10 times with their left foot and 10 times with their right foot. Here are the results. Who kicked the least balls into the goal? Some friends try to kick a ball into a goal. They each kick 10 times with their left foot and 10 times with their right foot. Here are the results. Who kicked the second most balls into the goal?

8. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 This graph may have been used during an election campaign in the US. What is the actual difference between the unemployment rate in the Clinton years and the Bush years? What is the intended message of this graph? Who would benefit from the potentially misleading representation of the data?

9. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 The table shows the 3 favourite subjects of 4 children. Which child chose Maths but not Music? The table shows the 3 favourite subjects of 4 children. Which child chose Music but not English? The table shows the 3 favourite subjects of 4 children. Which child chose Maths and Art but not English?

10. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 The children were engaging in a sports day. Which group has gymnastics first? The children were engaging in a sports day. Which sport is not on at 2pm? The children were engaging in a sports day. Which group has Obstacle Course last?

11. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 Jill recorded this data about her children. How did Jill order the data? By gender By height By age Jill recorded this data about her children. Who is the shortest of Jill’s children? Jill recorded this data about her children. Who is the second youngest of Jill’s children?

12. Problem Solving Data, Decisions, Misleading. Create your own problem! Now solve it! Statistics and Probability 19 Harry asked 80 children how many hours of exercise they did each week. The table shows the results. How many girls exercised more than 5 hours? Harry asked 80 children how many hours of exercise they did each week. The table shows the results. How many boys and girls exercised more than 5 hours?