You can find all 3 resources online
Benchmarks Identified by MCREL http://www.mcrel.org/PDF/Standards/5091TG_DistillElaMathSci.pdf
The Ontario Curriculum Expectations Grades 9 & 10 – 2005 http://www.edu.gov.on.ca/eng/curriculum/secondary/math910curr.pdf
The 21 st Century Skills http://www.p21.org/documents/P21_Framework_Definitions.pdf
1.
A tap pours out approximately 4L every minute and so can be modelled by the equation V = 4t, where ‘V’ represents the volume of water poured and ‘t’ represents how many minutes the tap was on. Estimate how much water is wasted per month if you leave the tap on while brushing your teeth. Use algebra as well as words to explain your logic.
Benchmarks Identified by MCREL
Uses basic and advanced procedures while performing the processes of computation

Adds, subtracts, multiplies, divides, and simplifies rational expressions (pg. 42)
The Ontario Curriculum Expectations Grades 9 & 10 – 2005
Number Sense and Algebra

Solve problems that can be modelled with first-degree equations (pg. 31)
2.
The table shows data for a standard shower head. How much water does this shower head use every minute? How much water would you save per month if you shorten your daily showers by 5 minutes? Feel free to use algebra, graphing techniques etc.
Benchmarks Identified by MCREL
Uses basic and advanced procedures while performing the processes of computation
 Adds, subtracts, multiplies, divides, and simplifies rational expressions (pg. 42)
Understands and applies basic and advanced properties of functions and algebra
 Uses a variety of models (e.g., written statement, algebraic formula, table of inputoutput values, graph) to represent functions, patterns, and relationships (pg. 49)

The Ontario Curriculum Expectations Grades 9 & 10 – 2005
Linear Relations
 Describe trends and relationships observed in data, make inferences from data (pg.
32)
 Identify, through investigation, some properties of linear relations (i.e., numerically, the first difference is a constant, which represents a constant rate of change; graphically, a straight line represents the relation) (pg. 33)
 Determine values of a linear relation by using a table of values and by interpolating or extrapolating from the graph of the relation (pg. 33)
3.
Add up the total amount of water you would be saving in a month. If this amount could somehow be given to Sabina, how many days would she not have to go to the river? She usually retrieves 70 lbs of water, twice a day (water has a density of
2.2lbs/litre)
Benchmarks Identified by MCREL
Understands and applies basic and advanced properties of the concepts of numbers

Understands the properties (e.g., relative magnitude, density, absolute value) of the real number system and its subsystems (pg. 40)
Uses basic and advanced procedures while performing the processes of computation

Adds, subtracts, multiplies, divides, and simplifies rational expressions (pg. 42)
The Ontario Curriculum Expectations Grades 9 & 10 – 2005
Number Sense and Algebra

Solve problems requiring the manipulation of expressions arising from applications of rate and proportion (pg. 30)
4.
Imran, Mauricio and Noa have a contest to compare the cost of using incandescent,
CFL and LED bulbs over a 40,000 hour period. Using the information below, determine an equation that models the total cost of operating each type of bulb for the 40,000 hour period. How much does each person end up paying by the end of the contest?
Benchmarks Identified by MCREL
Uses basic and advanced procedures while performing the processes of computation
 Adds, subtracts, multiplies, divides, and simplifies rational expressions (pg. 42)
Understands and applies basic and advanced properties of the concepts of geometry


Understands that objects and relations in geometry correspond directly to objects and relations in algebra (e.g., a line in geometry corresponds to a set of ordered pairs satisfying an equation of the form ax + by = c) (pg. 44)
Understands and applies basic and advanced properties of functions and algebra
 Understands basic concepts and applications (e.g., determining cost, revenue, and profit situations) of polynomial equations (pg. 49)
The Ontario Curriculum Expectations Grades 9 & 10 – 2005
Linear Relations

Construct equations to represent linear relations derived from descriptions of realistic situations (pg. 32)
 Determine values of a linear relation by using the equation of the relation (pg. 33)
st
Environmental Literacy

Demonstrate knowledge and understanding of the environment and the circumstances and conditions affecting it, particularly as relates to food, energy and water
 Demonstrate knowledge and understanding of society’s impact on the natural world (e.g., resource consumption)
 Take individual and collective action towards addressing environmental challenges (e.g., designing solutions that inspire action on environmental issues)
Think Creatively
 Use a wide range of idea creation techniques (such as brainstorming)
Communicate Clearly

Articulate thoughts and ideas effectively using oral, written and nonverbal communication skills
Collaborate with Others

Demonstrate ability to work effectively and respectfully with diverse teams

Exercise flexibility and willingness to be helpful in making necessary compromises to accomplish a common goal

Assume shared responsibility for collaborative work, and value the individual contributions made by each team member

Interact Effectively with Others
 Know when it is appropriate to listen and when to speak
Work Effectively in Diverse Teams
 Respond open-mindedly to different ideas and values
Global Awareness
 Using 21st century skills to understand and address global issues
 Understanding other nations and cultures