Designing Tasks for All Students Lisa Lunney Borden MTA 2008

An Open Task: Open in Process Many paths to the answer Open in Product Many possible answers Opens up with ‘what if’ variations Can open up into new explorations

An Open Task: Decimals Model each decimal with base ten blocks. Make a sketch to record your work. a) O.46 b) 3.04 c) 1.9 d) 1.09 e) 3.35 From Math Makes Sense 5, page 118 Opening it up… If the flat represents 1, use flats, rods and little cubes to build a robot model. Record a picture of your model and the value as a decimal number. Repeat two more times. Share with a partner. Share with the group.

An Open Task: Partitioning Numbers Give students a number of counters (6, 7, 8 or 9) and ask them to build different addition facts and record them.

An Open Task: Partitioning Numbers (continued) Draw a Picture!Addition + Subtraction = 88 – 2 = = 88 – 3 = = 88 – 6 = 2

An Open Task: Equivalent Fractions Think of a fraction. Model that fraction using your materials at your table. Try to find as many different models as possible. Record pictures of your model on your page. Share with your partner. Share with the whole group.

Example Spaces: Quadrilaterals Draw a figure that has four sides Draw another. Draw one that is really different than the first two.

Example Spaces: Area Think of a shape with an area of 24 cm 2. Think of another. Think of one that is really different than the first two.

Multiple Representations Verbal: Explain it in Words Contextual: Write a Story Problem Concrete: Use Concrete Materials to Build It Symbolic: Write it in Mathematical Symbols Pictorial: Draw a Picture Model

Learning Centers: 2-Digit Addition and Subtraction Write a story problem Addition and Subtraction Problems The Adding Game Tell me an Addition Story Choose any 6 of the activities Addition and Subtraction Cards What’s the difference? Roll It! Subtraction Number Lines

Learning Centers: Mixed and Improper Fractions Building Models Comparing Improper Fractions Fraction Models Mixed Number Pictures Explaining Your Strategy

Learning Centers: Multiplication and Division Division Stories Going to the Fair The Division Debate Multiplication and Division Word Problems Paper Clip Chains Multiplication and Division Arrays Making My Own Study Cards