# ELL Math Scaffolds Geometry Unit 5

ELL Math Scaffolds – Geometry – Unit 5

Student Learning Objective (SLO) / Language Objective / Language NeededSLO: 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 objects

*using 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 properties

*using 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 methods

*using 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