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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.
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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) 3.35From 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: 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 cm2. • Think of another. • Think of one that is really different than the first two.
Verbal: Explain it in Words Concrete: Use Concrete Materials to Build It Contextual: Write a Story Problem Pictorial: Draw a Picture Model Symbolic: Write it in Mathematical Symbols Multiple Representations
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