Mathematics 6 Inclusion, Inquiry, Responsibility
Summary: Our mathematics curriculum is based on Connected Mathematics 3, a highly esteemed inquiry based curriculum developed at Michigan State. It emphasizes students teams conducting inquiry around a topic to formulate hands on understandings. Student teams have a broad supply of materials available so they can choose whether making a poster, using a whiteboard or working in a notebook works best for the given task. This allows them to have open ended options instead of the teacher instructing them in which tools to use when. This curriculum is enhanced by the use of performance tasks from many sources including Mathalicious, a newer program offering real world problems that are built around video or audio experiences such as finding the ratio between musical notes or looking at the ratio of negative to positive messages in nightly television programming. We also utilize materials from Nrich; a program out of Cambridge that offers high level complex tasks. Students engage in frequent group work and reflective practices.
Unit 1 2 3 4
Prime Time: Factors.
Students look at patterns in number systems in order to explore relationships among factors, multiples, divisors and products.
Comparing Bits and Pieces: Ratios.
Students understand the relationship between fractions, decimals and percentages. They understand ratios and rates as comparisons of quantities and explore them in real world settings.
Let’s Be Rational: Operations with Fractions.
Students work with rational numbers to develop fluency computing with fractions. They solve real world problems involving the multiplication and division of fractions.
Covering and Surrounding: Volume and Area.
Students learn the formulas for volume and surface area for rectangular prisms. They use problem solving skills to break complex shapes apart and translate flat nets into three dimensional figures.
Assignments & Tasks
  1. Building on factors and Multiples
  2. Common multiples and common factors
  3. Factorizations
  4. Distributive property and order of operations
  5. Performance tasks


  1. Making comparisons
  2. Connecting ratios and rates
  3. The Jen Ratio - negative new media ratio
  4. Using unit rate for comparison shopping.
  5. Using proportions
  6. Percent proportions
  7. Is it fair to use unit rates to price clothing sizes?
  8. Performance tasks


  1. Determining when to use fractions or decimals.
  2. Negative numbers and temperature
  3. Absolute values and sea level
  4. Multiplication Models with fractions
  5. Multiplication algorithm
  6. Division models with fractions
  7. Division algorithm for fractions
  8. Comparing multiplication and division of fractions
  9. Real world problem solving.


  1. Exploring area and perimeter.
  2. Formulas for area.
  3. Defining volume
  4. Formulas for volume
  5. Comparing volume and surface area
  6. Deriving formulas for surface area
  7. Breaking apart complex shapes
  8. Performance tasks


Unit 5 6  
Variables and Patterns: Algebra.
Students examine the role of variables and how they show relationships. Students practice algebraic practices through graphing, tables and the writing of equations and expressions.
Data About Us: Statistics.
Students explore the practice of collecting, analyzing and interpreting data. They distinguish data types and how data can be presented.
Assignments & Tasks
  1. Exploring patterns and tables
  2. Defining variables and terms
  3. Writing equations with a single variable.
  4. Combining like terms
  5. Evaluating expressions
  6. Writing equivalent expressions.
  7. Reviewing properties
  8. Deriving expressions from real world situations
  9. Performance tasks
  1. Organizing and describing data
  2. Using mean
  3. Measuring variability
  4. Using graphs to group data

The 30th Avenue School (Q300)
28-37 29th Street, Astoria, NY 11102
718.626.8502 (main) 718.626.8508(fax)