Introduction

Patterns and functions:

Representing patterns and functions
with pictures, tables and graphs

Video: Representing patterns and functions

Reading: A written out summary of these examples

Reading: A written out summary of these examples

D2L->Content->What is
Algebra in Elementary School?

Assignment: Do problems 1 and 2 in this growthPatternsTiles notebook.Asking good questions about patterns
and functions:

Video: questions about patterns and
connections to algebra part 1; part 2.

Reading: Read this lesson plan: http://www.mathsolutions.com/documents/Solving_Problems_i33.pdf from Math Solutions

Reading: Read this lesson plan: http://www.mathsolutions.com/documents/Solving_Problems_i33.pdf from Math Solutions

Assignment: Answer these questions from page 4 of the lesson
plan.

Equations for growing pattern sorts of functions.Videos: Examples of figuring out
functions part 1; part 2.

Reading: Written out examples of figuring out function equations

Reading: Written out examples of figuring out function equations

D2L->Content->Instructional
Strategies for Teaching Algebra in Elementary School

Assignment: Go onto Wisweb, and open the
Spotting Numbers Problems applet (video of navigating to the specific
applet). Find the equations for each of these patterns:

level 1: V numbers, box numbers, tower
numbers, L numbers 1, L numbers 2

level 2: flip numbers

level 3: tile numbers 3

level 2: flip numbers

level 3: tile numbers 3

Explaining why your equation makes
sense:

I expect that after the practice you
had for the last assignment, that
you are pretty good at finding equation forms of functions.The primary
goal for this topic is for you to recognize the properties of a
deductive explanation and to know how to write good deductive
explanations.

Videos:

Explaining a function rule with pattern blocks
(the pattern blocks
applet)

Explaining a function rule with a dot pattern.

Explaining a function rule with a rate.

Reading: Examples of explaining
the equation for several patternsExplaining a function rule with a dot pattern.

Explaining a function rule with a rate.

The article "Instructional
Strategies for Teaching Algebra in Elementary School" which you read
for the last topic also has useful examples for this topic.

Assignment: Find the equation form of the function for each of
these examples, and explain deductively why that function rule
makes sense using the context of the problem.