ELL Math Scaffolds – Geometry – Unit 5

Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 1
CCSS:
G.GMD.1
WIDA ELDS: 3
Speaking
Reading
Writing / Develop informal arguments to justify formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone (use dissection arguments, Cavalieri’s principle, and informal limit arguments). / Explain ,by developing ,informal argumentsthe formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using personal whiteboards, charts, models and a partner. / VU:Square base, pyramid, apex, vertices
LFC: If, then…questions, complex sentences
LC: Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Explain the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using informal argumentsin L1 and/or using gestures and selected technical words. / Explain the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using informal arguments in L1 and/or selected technical vocabulary in phrases and short sentences. / Explain the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using informal arguments with technical vocabulary in simple sentences. / Explain the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using informal arguments with key, technical vocabulary in expanded sentences. / Explain the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone using informal argumentswith technical vocabulary in complex sentences.
Learning Supports / Modeling
White Board
Charts
Math Journal
Partner work
Word/Picture Wall
L1 text and/or support
Pictures/Illustrations/diagrams/drawings / White Board
Charts
Modeling
Math Journal
Partner work
Word/Picture Wall
L1 text and/or support / White Board
Charts
Modeling
Math Journal
Partner work / White Board
Math Journal
Partner work / White Board
Math Journal
Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 2
CCSS:
G. GMD.3
WIDA ELDS: 3
Listening
Reading
Writing / Solve problems using volume formulas for cylinders, pyramids, cones, and spheres.★ / Demonstrate comprehensionof volume formulas for cylinders, pyramids, cones and spheres by solving written problems using a chart, a word wall, and prompts. / VU:Hemisphere, radius, silo, beaker
LFC: Complex, mathematical statements
LC: Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Demonstrate comprehension of volume formulas for cylinders, pyramids, cones and spheres by solving written problemsin L1 and/or use gestures, examples and selected technical words. / Demonstrate comprehension of volume formulas for cylinders, pyramids, cones and spheres by solving written problems in L1 and/or use selected technical vocabulary in phrases and short sentences. / Demonstrate comprehension of volume formulas for cylinders, pyramids, cones and spheres by solving written problems using key technical vocabulary in simple sentences. / Demonstrate comprehension of volume formulas for cylinders, pyramids, cones and spheres by solving written problemsusing key, technical vocabulary in expanded sentences. / Demonstrate comprehension of volume formulas for cylinders, pyramids, cones and spheres by solving written problemsusing technical vocabulary in complex sentences.
Learning Supports / Charts
Prompts
Word/Picture Wall
L1 text and/or support
Cloze Sentences / Charts
Prompts
Word/Picture Wall
L1 text and/or support
Sentence Frame / Charts
Prompts
Sentence Starter
Word Wall / Charts
Prompts / Charts
Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 3
CCSS:
G.GMD.4
WIDA ELDS: 3
Speaking
Reading
Writing / Identify the shape of a two-dimensional cross-section of a three-dimensional figure and identify three-dimensional objects created by the rotation of two-dimensional objects. / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objectsusing demonstrations, diagrams, word wall and linguistic supports. / VU:Cylindrical, two and three dimension, rotation
LFC: Passive voice
LC: Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objects in L1 and/or use drawings,examples and selected technical words. / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objects in L1 and/or use selected technical vocabulary in phrases and short sentences. / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objects using key, technical vocabulary in simple sentences. / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objects using key, technical vocabulary in expanded sentences. / Demonstrate comprehension by identifying the shape of a two-dimensional cross section of a three dimensional figure and identify three dimensional objects created by the rotation of two-dimensional objectsusing technical vocabulary in complex sentences.
Learning Supports / Demonstration
Partner work
Word/Picture Wall
L1 text and/or support
Pictures/Illustrations/diagramsCloze Sentences / Demonstration
Diagrams
Partner work
Word/Picture Wall
L1 text and/or support
Sentence Frame / Demonstration
Diagrams
Partner work
Sentence Starter
Word Wall / Demonstration
Modeling
Partner work / Demonstration
Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 4
CCSS:
G.MG.1
WIDA ELDS: 3
Reading
Speaking
Writing / Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). ★ / Describe objects using geometric shapes, their measures and their propertiesusing models, a word wall and a partner. / VU:Right circular cylinder, rectangular, base radius
LFC:Passive voice
LC: Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Describe objects using geometric shapes, their measures and their propertiesin L1 and/or use gestures, examples and selected technical words. / Describe objects using geometric shapes, their measures and their propertiesin L1 and/or use selected technical vocabulary in phrases and short sentences. / Describe objects using geometric shapes, their measures and their propertiesusing key, technical vocabulary in simple sentences. / Describe objects using geometric shapes, their measures and their propertiesusing key technical vocabulary in expanded sentences. / Describe objects using geometric shapes, their measures and their propertiesusing technical vocabulary in complex sentences.
Learning Supports / Modeling
Demonstration
Partner work
Word/picture wall
L1 text and/or support
Pictures/illustrations
Cloze Sentences / Modeling
Partner work
Word/picture wall
L1 text and/or support
Sentence Frame / Modeling
Partner work
Word wall / Modeling
Partner work / Modeling
Partner work
Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 5
CCSS:
G.MG.2
WIDA ELDS: 3
Reading
Speaking
Writing / Use density concepts in modeling situations based on area and volume. (e.g., persons per square mile, BTUs per cubic foot). ★ / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problems using models, linguistic supports and drawings. / VU:Density, disk, population density
LFC: Prepositional clauses
LC:Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problemsin L1 and/or use gestures, examples and selected technical words. / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problemsin L1 and/or use selected technical vocabulary in phrases and short sentences. / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problemsusing key technical vocabulary in simple sentences. / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problemsusing key, technical vocabulary in expanded and some complex sentences. / Demonstrate comprehension of how to use density concepts in modeling situations based on area and volume in real world problems using technical vocabulary in complex sentences.
Learning Supports / Modeling
Math Journal
Small group/ triads
Word/Picture Wall
L1 text and/or support
Pictures/Illustrations/diagrams/drawings
Cloze Sentences / Modeling
Small group/ triads
Word/Picture Wall
L1 text and/or support
Sentence Frame / Modeling
Small group/ triads
Sentence Starter
Word Wall / Modeling
Small group/ triads / Modeling
Student Learning Objective (SLO) / Language Objective / Language Needed
SLO: 6
CCSS:
G.MG.3
WIDA ELDS: 3
Listening
Reading
Writing / Solve design problems using geometric methods. (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). ★ / Explain how to solve design problems using geometric methodsusing online math glossary, visuals, models and a partner. / VU:Scaled down, thumbnail
LFC: Mathematical statements, cause/effect
LC: Varies by ELP level
ELP 1 / ELP 2 / ELP 3 / ELP 4 / ELP 5
Language Objectives / Explain how to solve design problems using geometric methods in L1 and/or with gestures, examples and selected technical words. / Explain how to solve design problems using geometric methods inL1 and/or with selected technical vocabulary in phrases and short sentences. / Explain how to solve design problems using geometric methods using key, technical vocabulary in simple sentences. / Explain how to solve design problems using geometric methods using key, technical vocabulary in expanded complex sentences. / Explain how to solve design problems using geometric methods using technical vocabulary in complex sentences.
Learning Supports / Modeling
Math Journal
Demonstration
Online math glossary
Visuals
Word/Picture Wall
L1 text and/or support
Pictures/Illustrations/diagrams/drawings
Cloze Sentences / Modeling
Math Journal
Online math glossary
Visuals
Word/Picture Wall
L1 text and/or support
Sentence Frame / Modeling
Math Journal
Word Wall
Online math glossary
Visuals
Sentence Starter / Modeling
Math Journal / Modeling
Math Journal