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Seeking Patterns, Building Rules: Algebraic Thinking

Overview of the EMPower Math unit Seeking Patterns, Building Rules: Algebraic Thinking. This series promotes developing math concepts through contextualized problem solving for the adult learner.
by

Rose Anne Synowka

on 7 March 2011

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Transcript of Seeking Patterns, Building Rules: Algebraic Thinking

Algebra A way of thinking about and representing situations Look for Patterns
and Relationships Tool Kit for
Problem Solving Linear Patterns Things happens at a constant rate The rate keeps changing Algebra makes sense.
It is not magic. Symbols (short cuts for writing and ideas) 1. Guess my rule. In-Out Table: 2. Banquet Tables Real Data for Problem Solving 3, 4, 5. Body at Work Pulse Calories Burned Travel Times (time, rate, distance) Coordinate Graphing 6. Circle Patterns 7. What is the Message? 8. Job Offers Which job should I take? 9. Phone Plans Finding the Best Deal 10. Signs of Change Earnings over Time Watching Money Grow 11. Rising Gas Prices Nonlinear Patterns Quadratic Patterns 12. The Patio Project Problem Solving Comparing 3 Situations Overview of EMPower Math:
Seeking Patterns, Building Rules:
Algebraic Thinking Circumference
Diameter
Geometric Formulas
Polygons (Translating Formulas) From symbols to words Celsius to Fahrenheit From words to symbols and equations Diagrams Aerobic Target Heart Rate π March 14 is National Pi Day Celebrate! Tables:
Diagrams
Graphs
Words
Equations: Working with Rates Using Data to
Support Decisions ? ? ? Understanding
Rate of Change What comes next?
Describe what generally happens (X and Y)
How fast does it change
What stays the same? Algebra is not magic. Algebra fills in the blanks. Anybody at almost anytime can use it
to solve problems. Architect, carpenters, engineers, plumbers, clothing designers Patterns Variables: x-axis y-axis origin Labeling Points Increments Inverse Operations point of intersection: y-intercept: flat-line graph: line steepness: constant rate of change: linear relationship: slope: exponent: exponential relationship: nonlinear rate of change:
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