Preparing for Success in Algebra English Language Learners in Mathematics

A Collaboration between: Los Angeles Unified School District University of California, San Diego San Diego State University University of California, Irvine San Diego Mathematics Project

Preparing for Success in Algebra English Language Learners in Mathematics

Slide 2

Welcome

California Mathematics and Science Partnership (CaMSP)

Academic Year Follow Up Session # 4

May 22nd, 2010

Objective: Pattern Recognition

Slide 3

CA Standards

6 AF 3.0 Students investigate geometric patterns and describe them algebraically.

7 AF 3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the ratio of the quantities.

Slide 4

Pattern Block Trains

# of Shapes

Perimeter

1 52

11

1

Slide 5


# of Shapes

Perimeter

1 5

2 8

2 1

1

1

1

2

Slide 6


# of Shapes

Perimeter

1 5

2 8

3 11

2 1

1

1 12

2

1

Slide 7


# of Shapes

Perimeter

1 5

2 8

3 11

4 14

2 1

1

1 12

2

1

1

2

Slide 8


# of Shapes

Perimeter

0

1 5

2 8

3 11

4 14

+3

+3

+3

+1

+1

+1

ConstantChange

2 1

1

1 12

2

1

1

2

Slide 9


# of Shapes

Perimeter

0 2

1 5

2 8

3 11

4 14

+3

+3

+3

+1

+1

+1

ConstantChange

2 1

1

1 12

2

1

1

2

Slide 10

Graph of Pattern

1 Number of Shapes

PERIMETER

1

Slide 11

What is the general rule?

# of Shapes

Perimeter

0 2

1 5

2 8

3 11

4 14

n ?Number of Shapes

PERIMETER

1

1

Slide 12

The general rule is P = _______n + ______. (Constant Change) ( P for figure #0)

# of Shapes

Perimeter

0 2

1 5

2 8

3 11

4 14

n ?Number of Shapes

PERIMETER

1

1

Slide 13


Find the perimeter of trains as each block is added

Get into groups of 4 and choose a pattern

Slide 14

Collaborative Poster Template

Copy your shape trainsCreate each of the 4 shapesFind the perimeter of each shape and fill

out the tableCreate the graph using the perimeter

and figure #Complete the sentence frame

Slide 15

Strategy Stop

Collaborative Poster Access Strategy: Cooperative Learning Scaffold: Bridging, Text Re-presentation, Schema Building Language Domains: Writing and Listening& Speaking Description: Students work in groups of four, each with a different

colored marker. Students work together to strike a balance in solving the task while learning from each other and discussing the content.

Affect: Supports low-risk learning environment Interaction / Practice: Facilitation of Language Development,

practice writing, and deepens understanding concepts and procedures.

Slide 16

Debrief use of Pattern Recognition through the use of Collaborative Posters

• What structures are necessary in order to ensure a successful lesson when working with this strategy?

•What skills and knowledge do students need to be successful in creating the table, graph, sentence frame

• What classroom management procedures need to be in place?

•How does this strategy evoke the use of language?

•How did this strategy provide access to the mathematical concept?

Slide 17

Evaluation

Please give feedback in the box labeled,

“Comments about Pedagogy Session”

in your Follow Up #4 Evaluation form.

Slide 18

Thank You!!

Esmeralda Orozco– Esmeralda.orozco @suhsd.k12.ca.us

Nury Arrivillaga– Nury.Arrivillaga @lausd.net

Slide 19

Teacher Instructions:All students independently complete both mathematical tasks or

problems. Student pairs are formed.Target vocabulary words are written on the MS chart in the left column.

For lower grades, the teacher can fill in the words. The two students write their names across the top. One student explains

half of the completed task or a given problem to the other student as he or she tallies on the chart each time a target word is used in the explanation. Students keep talking until all target words have been used.

The other student then takes a turn doing the same.

Mathematically Speaking Activity

Slide 20

Appointment Book

Teacher Instructions:Students make appointments with different classmates. Teacher signals and announces first appointment.The students pair up (find their appointment classmate)

and together they solve the problem on the board/overhead/document camera.

The teacher signals and announces next appointment. Cycle continues until all/most appointments are filled. Closure: Students complete sentence frames at the

bottom of their handout.

Slide 21

Strategy Stop

QUICK Write Strategy: Springboard for Instructional Conversations Scaffolds: Bridging and Contextualization Language Domains: Writing and Reading Description: Students give quick reaction to prompt presented. Goal

is to capture feelings or meaning to the person not linguistic correctness.

Affect: Supports low-risk learning environment Interaction / Practice: Facilitation of Language Development

Slide 22

Strategy Stop

3 Step Interview Access Strategy: Instructional Conversations Scaffolds: Bridging, Modeling, Schema-Building Language Domains: Listening, Speaking, Reading Description: Students share to A/B partners. Then each share their

partner’s thoughts/responses to the rest of the table/group. Affect: Supports low-risk learning environment Interaction / Practice: High accountability (peers); practice with

language development

Slide 23

Strategy Stop

Mind Mirror Strategy: Advanced Graphic Organizer Scaffolds: Bridging, Contextualization, Schema Building Language Domains: Listening, Speaking and Writing Description: Students tie ideas together in a graphic by giving simple quotes

from the text to synthesis of ideas. Affect: Supports learning environment with accountability Interaction / Practice: All must participate and practice oral language.

Slide 24

Strategy Stop

Hand Up, Stand Up, Pair Up (Kagan Strategy) Strategy: Instructional Conversations Scaffolds: Bridging, Contextualization, Schema Building Language Domains: Listening, Speaking Description: Students stand up after thinking about a question or

having had a prompt to answer/think about, put their hand up and “high 5” someone to pair up. Now they discuss their answer to a certain prompt or problem

Affect: Supports learning environment with accountability Interaction / Practice: All must participate and practice oral language.

Slide 25

Strategy Stop

A-Z Review Access Strategy: Cooperative learning Scaffold: Metacognition Language Domains: Writing &Listening and Speaking Description: It is a review strategy. Students think of a

word related to a certain topic, one or more for each letter of the alphabet.

Affect: Supports low-risk learning environment Interaction / Practice: Facilitation of Language

Development, practice writing, and orally presenting

Slide 26

Strategy StopMathematically Speaking: Access Strategy: Instructional Conversations Scaffold: Schema-Building,Meta-Cognition Language Domains: Listening and Speaking Description: Students solve 2 different problems or half

of a task. They take turns explaining their half of the completed task or given problem to the other student as he or she tallies on the chart each time a target word is used in the explanation. Students keep talking until all target words have been used.


Development, practice speaking and listening, and orally presenting

MATH!!!!

Slide 27

Strategy Stop

3 x 3 Sentence Builders Access Strategy: Academic Language Scaffold: Contextualization, Text Representation Language Domains: Writing Description: Picking 4(2 x2) or 9 (3x3) words from

vocabulary list students put them in boxes and create sentences with words that go across horizontally, vertically and diagonally.


Development, practice writing, and understanding interrelation between concepts and terms.

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Preparing for Success in Algebra English Language Learners in Mathematics