Patterns and Function (algebra)

Learning Experiences

• The Googol Problem–introduction video to the algebra unit-using a function to solve a problem.
• The Googol Problem-part 2: This video links code cracking back into the googol problem (as above) – extension(run) at beginning or walk and jog near end of unit.
• Using Functions to Continue Patterns 1-Complete 4 tables to a given function, then make three of your own. – benchmark #1 and #2
• Using Functions to Continue Patterns 2-Complete 5 tables to a given function. – benchmark #1 and #2
• Crack the Code, Find the Function-Students must describe a pattern using a function. – benchmark #2
• Crack the Code-Ongoing corridor Crack the Code activity. – benchmark #2
• Algebra Mash Up-8 mixed algebra problems with tables and functions.- #2
• Using Functions to Solve Problems-Introduction lesson  (discussion based)
• Graphing Functions-Linear vs Exponential. 
• Zebra Flu-solving an exponential problem based on rate of infections. Quite challenging.
• Pascal’s triangle investigation – identifying patterns in multiples in Pascal’s triangle. Developing simple rules for predicting what the next row of the triangle will be. Also have a keynote that am happy to share.
• Study guide and answer key for post assessment

Assessments

• Patterns and Formula assessment-use as a pre/post assessment

External Resources

Exercise 20:3, starting page 281 of NZ National Curriculum Mathematics, Level 4 Book 2 (blue one). Practice solving problems by finding functions. 2-3 periods

Benchmarks for this unit:

• MAT.AC.5.1 – 1.  investigate one-step functions
• MAT.AC.5.2 – 2.  analyze one-step functions to find and record rules.
• MAT.AC.5.3 – 3.  use one-step functions to solve word problems and generate patterns.
• MAT.AC.5.4 – 4.  select appropriate methods to analyze patterns and identify rules.

Reflections

Learning Engagements for each benchmark (See Ryan):

MAT.AC.5.1 – 1.  investigate one-step functions.

• Using Functions to Continue Patterns 1-Complete 4 tables to a given function, then make three of your own. – benchmark #1 and #2
• Using Functions to Continue Patterns 2-Complete 5 tables to a given function. – benchmark #1 and #2
• Using Functions to Continue Patterns- home learning. Use after ‘Patterns 1’

MAT.AC.5.2 – 2.  analyze one-step functions to find and record rules.

• Crack the Code-Ongoing corridor Crack the Code activity. – benchmark #2
• Crack the Code, Find the Function-Students must describe a pattern using a function. – benchmark #2
•  Algebra Mash Up-8 mixed algebra problems with tables and functions.- #2

MAT.AC.5.3 – 3.  use one-step functions to solve word problems and generate patterns.

• Using Functions to Solve Problems-Introduction lesson  (discussion based)

• Zebra Flu-solving an exponential problem based on rate of infections. Quite challenging.

MAT.AC.5.4 – 4.  select appropriate methods to analyze patterns and identify rules.

• Graphing Functions-Linear vs Exponential.  

note: It seems like #4 is ongoing, isn’t it similar to benchmark #2(?)