1. Everything we need to know about Algebra we learned in First Grade!
Jonily Zupancic
OCTM 2012
Columbus, OH

2. Welcome! What is an even number?
What is the next number? 50th number? nth?
4, 8, 12, 16, 20, …
How many different rectangles can be made with 36 one inch square tiles? HDYK? (How Do You Know?)
Is 36 an even number? Why or why not? Is 3754?
Will the 4, 8, 12 pattern ever have 36?

3. Instruction “Mile Wide – Inch Deep” Proportional? Options? Story
Research
Anden
What is important?

4. Math Classroom Culture Big Ideas Rich Tasks, Problems and Questions
Confidence, success, Habits of Mind
THINK
Structure and routine
Big Ideas
Middle School
Grades 3-5
College Board
Critical Focus Areas (CCSS)
Rich Tasks, Problems and Questions
Mathematical Practices
Embedded intervention and extension
Connections and Progressions
OAA Frequency Data –
College Board
In connection with Common Core Critical Focus Areas
Lessons, Chapters, Units… Tasks
***Embedded, Ongoing, frequent assessment - FA

5. What’s the Big Idea? Middle School
Number (and Operation)
Even/odd, Prime/Composite, little bit of factors/lots of factors, Perfect Squares
What is subtraction? division?
Rate and Function
Patterns and “Rule of Four”
Ratio
Space and Dimension
Area, perimeter, surface area, volume
Coordinate plane
OAA Frequency Data –
College Board
In connection with Common Core Critical Focus Areas
Lessons, Chapters, Units… Tasks

6. What’s the Big Idea? Grades 3-5
Number
Patterns and Rate
Algebraic Thinking and Reasoning
Shape (Space and Dimension)
Classification and Characteristics
Area

7. What’s the Big Idea? College Board
Rate
Function
Accumulation
OAA Frequency Data –
College Board
In connection with Common Core Critical Focus Areas
Lessons, Chapters, Units… Tasks

8. Example 1
Even and odd

9. Example 2
Tables, rules and patterns

10. Example 3
Shape
Space
Area

11. Example 4
Fraction
What is Division?

12. What is important? Culture Thinking Questions Rich Tasks
Embedded Intervention
Connections
Big Ideas
Ongoing frequent assessment
Be patient!
Mathematical Practices
Go slow – dig deep! (dig a hole 12 feet long and 3 feet wide – how deep?)