Chapter 4: Action 4
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Conceptual Tasks:
- Figure 4.6 conceptual task k-2: subtraction by compensating
- Figure 4.6 conceptual task 3-5: decomposing one or both factors
- Figure 4.6 conceptual task 6-8: the sum of negative numbers
- Figure 4.6 conceptual task algebra: foil
Procedural Tasks:
- Figure 4.7 procedural task k-2: basic fact relationships
- Figure 4.7 procedural task 3-5: comparing algorithms
- Figure 4.7 procedural task 6-8: relating integer addends
- Figure 4.7 procedural task algebra: patterns
Application Tasks:
- Figure 4.8 application task k-2: coins in a pocket
- Figure 4.8 application task 3-5: area with color tiles
- Figure 4.8 application task 6-8: seabird integers
- Figure 4.8 application task geometry: television area
Modified Tasks With “Create” Strategy
- Figure 4.9 Primary: ten clownfish
- Figure 4.9 Primary: making 37
- Figure 4.9 Intermediate: shading decimals
- Figure 4.9 Middle School: creating volume
- Figure 4.9 Algebra: creating polynomials
Modified Tasks With “Connect” Strategy
- Figure 4.12 Primary: representing making ten
- Figure 4.12 Intermediate: representing fractions in multiple ways
- Figure 4.12 Middle School: representing ratio
- Figure 4.12 Geometry: vertical angles.pdf
Modified Task With “Generalize” Strategy
- Figure 4.13 Primary: proving the commutative property
- Figure 4.13 Intermediate: decomposing factors with fractions
- Figure 4.13 Middle School: multiplying constants
- Figure 4.13 Algebra: generalize algebraic expressions
Modified Task With “Reverse the Problem” Strategy
- Figure 4.14 Primary: making skip counting patterns
- Figure 4.14 Intermediate: missing endpoints
- Figure 4.14 Middle School: write systems of equations
- Figure 4.14 Algebra: reversed quadratics
Modified Task With “Agree or Disagree” Strategy
- Figure 4.15 Primary: true or false equations
- Figure 4.15 Intermediate: agree or disagree about adding fractions
- Figure 4.15 Middle School: alternative solutions to equations
- Figure 4.15 Geometry: congruent diagonals
Modified Task with “Open It” Strategy
- Figure 4.16 Primary: blank pages
- Figure 4.16 Intermediate: blank partials
- Figure 4.16 Middle School: finding quotients of fractions
- Figure 4.16 Geometry: finding vertices
Modified Task With “Compare and Contrast” Strategy
- Figure 4.17 Primary: comparing ideas about addition
- Figure 4.17 Primary: comparing addition equations
- Figure 4.17 Intermediate: comparing addition of mixed numbers
- Figure 4.17 Intermediate: adding four-digit numbers with different strategies
- Figure 4.17 Middle School: comparing solution paths for equations
- Figure 4.17 Algebra: different approaches to solving
“Find and Use a Pattern” Strategy Task
“Write About It” Strategy Task
“Change the Focus” Strategy Task
Change the Sequence