Post on 11-Nov-2014
description
Project-Based Math Curriculum
Pier Sun Ho ConnectEdJuly 11, 2013
8:30AM – 9:45 AM
#nafnext
Is this session right for me?
#nafnext
Who’s still here?
#nafnext
#nafnext
#nafnext
Why Project-Based Algebra?
#nafnext
What Does Project-Based MathLook Like?
Access Ramp Activity
List math concept as you work!
#nafnext
Access Ramp: Math Concepts
• Measurement• Fractions• Proportional Reasoning:
scale drawings• Proportional Reasoning:
slope, linear growth• Unit conversions• Problem solving strategies
#nafnext
Wind Power Unit
• Measurement• Fractions• Percentages• Inequalities• Constraints
What are efficient wind turbine designs?
#nafnext
Wind Power Unit
Use rulers, add and subtract fractions to build a tower for the wind turbine.
#nafnext
Wind Power Unit
Multiply fractions to build rotor blades of a given area.Calculate percentages when analyzing quantity of
scrap materials.
#nafnext
Wind Power Unit
Test designs and record results as inequalities.Make and interpret graphs of results.
#nafnext
Blueprints and Models Unit Part I
Review proportions, scale, and slope by building a model wheelchair ramp that meets ADA guidelines.
Practice unit conversions by creating a materials list and cost chart.
#nafnext
• Calculate space allocation of buildings and present in pie charts.
• Solve construction-related problems involving ratios and proportional reasoning.
• Design and cost a remodeling plan under space and structural constraints
Blueprints and Models Unit Part II
#nafnext
How do you engineer an effective funicular system?
People Movers Unit
#nafnext
• Solving problems involving proportions and ratios, including gear ratios
• Interpreting the meaning of linear and non-linear graphs
• Understanding the slope of distance vs. time and velocity vs. time graphs
Arithmetic with negative numbers
Understanding and solving problems using the Pythagorean Theorem
Simplifying square roots
People Movers Unit
#nafnext
Use the Pythagorean theorem to construct a ramp for the funicular.
Apply the concept of similarity and parallel line relationships to build a platform for the funicular car to ride on.
People Movers Unit
#nafnext
Use integer operations to calculate and describe position and velocity.
Determine the travel time by applying knowledge of gear ratios.Graph and interpret linear and non-linear results.
People Movers Unit
#nafnext
How safe is a combination lock?
Cardboard fence
Safe Combinations Unit
#nafnext
• Tree diagrams and permutations
• Definition of exponents, graphing exponential growth
• Rules of exponents• Order of operations• Inverse operations
Equivalent equations and solving 1–5 step equations
Translating sentences into algebraic equations
Building and analyzing a working safe with a combination lock to specifications
Safe Combinations Unit
#nafnext
• Calculate the total possible number of combinations for a lock.
• Use the rules of exponents to analyze changes to the number of lock combinations.
• Practice solving equations by “coding” and “decoding” lock combinations.
Safe Combinations Unit
#nafnext
• Initial Cost: $200 - $500
• Consumable Materials: $10-$25 per unit
• Many materials can be borrowed from the school science department.
• None of the units require power tools, lab space, or special engineering knowledge.
• ~70 total hours of instruction
Practical Considerations
#nafnext
Engineering Integrated Units
Biomedical Health Sciences Integrated Units
Algebra I Drop-In Units
• Can be used as either supplemental or replacement material during the year
• Expands and reinforces the engineering theme and practice of problem solving skills in math class
• Covers major Algebra I standards (linear and quadratic equations, rational expressions, exponents, polynomials)
#nafnext
Algebra Drop-In Units
Solve single-variable linear equations as students build the pieces of a puzzle cube
Solve quadratic equations to design and play a game with projectile machines
Graph linear equations to chart the progress of multiple planes and direct them to land safely
Air Traffic Control Unit
Puzzle Cube Unit
Solve rational expressions to calculate the total resistance in circuits
Electrical Resistance Unit
Catapult Game Unit
25
#nafnext26
#nafnext
Download math units at the AOE library
http://naf.org/mynaf
http://www.naf-curriculum.org/index.html