SEI Teacher Endorsement Sample Capstone Lesson Plan
Lesson Background Information
Name: Jane Doe
Date: April 1st, 2013
District: N/A
Lesson Length: 55 min
Content Area: Grade 6 Math1
Lesson Topic: Ratios and Rates
Focus Language Domain(s) (R, W, L, S): Writing
Content Objective:
All students will be able to:
 Use proper ratio notation and language to
describe the relationship between two
quantities.
 Write a ratio to express the relationship
between two quantities.
Language Objective for students at WIDA
ELD levels 1-3 (choose one level):
Related Standards:
6. RP.1. Understand the concept of a ratio
and use ratio language to describe a ratio
relationship between two quantities. For
example, “The ratio of wings to beaks in the
bird house at the zoo was 2:1, because for
every 2 wings there was 1 beak.” “For every
vote candidate A received, candidate C
received nearly 3 votes.”
Language Objective for students at WIDA
ELD levels 4 or 5 (choose one level):
Students at the WIDA ELD Level 2 will be able
to write simple sentences in the present
tense that include “__ to __” to describe a
relationship between two quantities.
Students at the WIDA ELD Level 4 will be able
to write compound sentences that include
“__ to __” and “because” to explain the
relationship between two quantities.
6. SMP.4. Model real life situations with
mathematics.
Key Content Vocabulary:
Ratio
Materials/Equipment:
White board
Student white boards and markers
Manipulative (pictures, blocks)
Ratio worksheet with sentence frames
Prerequisite Knowledge: (and/or skills)
In previous lessons, students have practiced:
 How to use a ratio to express the
relationship between two quantities –
part: part; part: whole.
 How to use “the ratio of __ to __ is __” to
express the relationship between two
quantities.
Instructional Procedure
The activities below should reflect the targeted language and content objectives
for this lesson.
Duration Description
Connection to prior learning or background building activity:
15 min
Partners share ratios from the real world that they collected for homework orally:
1
Lesson adapted from the 6th grade Ratio and Rates Mathematics Model Curriculum Units, Lesson 2,
Massachusetts Department of Elementary and Secondary Education, Work in Progress, October 2012.
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SEI Teacher Endorsement Sample Capstone Lesson Plan
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15 min
Teacher models sharing a ratio from the real world: “There are 6 boys and 7 girls
in the class. The ratio of boys to girls is 6:7”
Teacher pairs ELD level 2 students with ELD level 4 or native speakers.
Students turn and talk to a partner to share one example ratio they brought as
homework. They use the sentence frame that the teacher modeled with their
partner. Then the pair chooses one ratio to share with the class.
Teacher asks one student in the pair to highlight the quantities compared (“There
are 6 boys and 7 girls in the class”) and the second student to express it as a
ratio (“The ratio of boys to girls is 6:7”).
Activities, resources, and materials to present new content area AND language
knowledge or skill:
Teacher explains how to write a ratio writing underlined sentences on the board as
he/she explains them:
 You can use “__ to __” to write a ratio that compares two quantities. To
compare the boys to girls, you can write “The ratio of boys to girls is 6 to 7”.
To compare the boys to all students (total number of students) you can write
“The ratio of boys to the class is 6 to 13”.
Teacher models how to write a ratio based on a picture of a scattered arrangement
that has components labeled:
 With this picture, you can make a part to part ratio and write “The ratio of
starfish to snails is 2 to 3” (teacher points to starfish and snails when saying
those words)
Teacher asks students to write another part to part ratio on an individual white board
and lift it up when they are done.
Teacher models how to write another ratio based on a picture of a scattered
arrangement that has components labeled:
 With this picture you can make a part to whole ratio and write “The ratio of
starfish to all the animals is 2 to 32.”
Teacher asks students to write another part to whole ratio on an individual white
board and lift it up when they are done.
Teacher models how to explain what ratios mean:
 It’s very important to explain what your ratios mean. To explain your ratios
you have to tell me what quantities you compared.
 To explain a ratio, I can write: “The ratio of dark parts to the total number of
parts is 5:10 because there are 5 dark parts and 10 total parts.” (Teacher
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SEI Teacher Endorsement Sample Capstone Lesson Plan
writes the sentence on the board and point to the dark parts and circle the
total parts when speaking)
Students work in partners to write new ratios and explain them using the sentence
frame on the board. Students write on white boards and show up their ratios when
they are finished. Teacher circulates to help ELD level 2 students.
15 min
Activities, resources, and materials to PRACTICE new content area AND
language knowledge or skill:
Students practice writing ratios based on different types of ratio problems in a
worksheet given by the teacher.
 ELD level 2 students work on writing ratios and interpreting the prompts
based on their knowledge of how to write a ratio. Their worksheet has a
sentence frame with a sample ratio using “__ to ___” and labeled pictures
and/or illustrated word bank.
 ELD level 4 students work on writing ratios and explaining their ratios. Their
worksheet has the following sentence frame: “The ratio of __ to __ is __:___
because there are __ _______ and__ _______” and a completed model.
Ratio Problem Types:
1. Pictures of objects in scattered arrangements with questions that include:
 part: whole ratios - Write a ratio to compare the number of ____ to
the total number of ______ in the picture.
 part: part ratios - Write a ratio to compare the number of ___ to ____
in the picture.
Sample picture arrangement
2. Working backward: In the diagram, the ratio ___:___ shows there are __
________ and ___ __________.
3. Shapes divided into equal parts with some parts shaded: Write a ratio for the
dark parts to the white parts; Write a ratio for the dark parts to the total.
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SEI Teacher Endorsement Sample Capstone Lesson Plan
10 min
Activities, resources, and materials to ASSESS new content area AND
language knowledge or skill:
Students write ratios based on different types of ratio problems in a worksheet given
by the teacher.
 ELD level 2 students write ratios and interpret the prompts based on their
knowledge of how to write a ratio. Their worksheet has a sentence frame with
a sample ratio using “__ to ___” and labeled pictures and/or illustrated word
bank.
 ELD level 4 students write ratios and explain their ratios. Their worksheet has
the following sentence frame: “The ratio of __ to __ is __:___ because there
are __ _______ and__ _______” and a completed model.
Ratio Problem Types:
1. Pictures of objects in scattered arrangements with questions that include:
 part: whole ratios - Write a ratio to compare the number of ____ to
the total number of ______ in the picture.
 part: part ratios - Write a ratio to compare the number of ___ to ____
in the picture.
2. Working backward: In the diagram, the ratio ___:___ shows there are __
________ and ___ __________.
3. Shapes divided into equal parts with some parts shaded: Write a ratio for
the dark parts to the white parts; Write a ratio for the dark parts to the
total.
Homework/Extension Activities
1. Students find 3 examples of ratios in the real world. They can be on the internet, in
newspapers, or in their own homes. For each, they write down the ratio in the proper
format.
2. Students create a ratio problem for a classmate to solve. Include pictures of objects, the
question (what ratio the student wants the solver to find), and the form in which the
student wants the ratio written
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