Parts of units are used where a whole unit cannot fit. We use fractional language to describe these parts. A fat container will hold heaps more than a skinny container. The closer you get to a sphere, the more volume it holds. Arrays is basically the same as area (multiplication expressed as rows and columns so that it is arranged into a grid) Volume can be conceptualised as a 3D array – a bottom layer is the array and then you have a whole lot of layers Weeks 7-10: Algebra, patterns and functions Focus: Resources: Regular Tasks or Homework Suggestions Identifying and creating number patterns and functions. Trading Indirect Teaching and equivalence. Spend roughly one week each on these topics: Introducing equations, inverse operations reverse a rule. Also, please help kids to understand that the “equals” sign Patterns doesn’t mean that the answer is coming next. It means “is the H1. Identify a rule for number patterns, H3. same as”. Make sure that you write some number sentences in Identify pattern rules the wrong order (e.g. 15 = 3x5) and also when there is no H4. Create a number pattern based on a rule “answer” at all (e.g. 3 x 4 = 2 x 6) H5. Identify the relationship between quantities Make sure that kids understand: H6. Identify the position of any term Patterns can be comprised of colour, shape, size, actions and numbers. Equations How the pattern begins and how to get from one position in JP 13. Writing + - equations with variables the pattern to the next (identify the pattern – whether it Consider using: 7 Blasts H3 (online) and 7 repeats or grows, and what is similar each time) is really Blasts H5 (online) writing equations and important. unknowns Differences between items within a pattern and between JP 16. Unbalanced scales patterns are also important. We can make generalisations about the rule that is used to Balancing Equations make the pattern. In order to be a rule, it should be true for G7. Solve problems: balancing equations every step in the pattern. D25. Writing and evaluating expressions We can test a rule against subsequent steps in the pattern to JP.14. Function machines check if it is right. H5. Identify the relationship between A function describes when a rule is consistently applied. quantities
Parts of units are used where a whole unit cannot fit. We use fractional language to describe these parts. A fat container will hold heaps more than a skinny container. The closer you get to a sphere, the more volume it holds. Arrays is basically the same as area (multiplication expressed as rows and columns so that it is arranged into a grid) Volume can be conceptualised as a 3D array – a bottom layer is the array and then you have a whole lot of layers Weeks 7-10: Algebra, patterns and functions Focus: Identifying and creating number patterns and functions. Trading and equivalence. Introducing equations, inverse operations reverse a rule. Also, please help kids to understand that the “equals” sign doesn’t mean that the answer is coming next. It means “is the same as”. Make sure that you write some number sentences in the wrong order (e.g. 15 = 3x5) and also when there is no “answer” at all (e.g. 3 x 4 = 2 x 6) Make sure that kids understand: Patterns can be comprised of colour, shape, size, actions and numbers. How the pattern begins and how to get from one position in the pattern to the next (identify the pattern – whether it repeats or grows, and what is similar each time) is really important. Differences between items within a pattern and between patterns are also important. We can make generalisations about the rule that is used to make the pattern. In order to be a rule, it should be true for every step in the pattern. We can test a rule against subsequent steps in the pattern to check if it is right. A function describes when a rule is consistently applied. Resources: Spend roughly one week each on these topics: Patterns H1. Identify a rule for number patterns, H3. Identify pattern rules H4. Create a number pattern based on a rule H5. Identify the relationship between quantities H6. Identify the position of any term Equations JP 13. Writing + - equations with variables Consider using: 7 Blasts H3 (online) and 7 Blasts H5 (online) writing equations and unknowns JP 16. Unbalanced scales Balancing Equations G7. Solve problems: balancing equations D25. Writing and evaluating expressions JP.14. Function machines H5. Identify the relationship between quantities Regular Tasks or Indirect Teaching Homework Suggestions
Grade-6-program.docx