Collecting and Representing Data Using Bar Graphs Grade: 1 Content Area: Mathematics Theme: Data Analysis, Statistics, and Probability Content Standards (MassDOE curriculum standards): ‐ 2.D.1: Use interviews, surveys, and observations to gather data about themselves and their surroundings. ‐ 2.D.2: Organize, classify, represent, and interpret data using tallies, charts, tables, bar graphs, pictographs, and Venn diagrams; interpret the representations (focusing on bar graphs in this lesson). ELPBO Standards: ‐ S.1 Vocabulary: Students will comprehend and communicate orally, using English vocabulary for personal, social, and academic purposes. ‐ Beginning students will be able to demonstrate comprehension of vocabulary essential for grade‐level content learning using pictures, actions, and/or objects. (S.1.3) ‐ Early intermediate students will be able to demonstrate comprehension of vocabulary essential for grade‐ level content learning using pictures, actions, and/or objects (S.1.3) and employ vocabulary essential for grade‐level content learning (S.1.5). ‐ Intermediate students will be able to demonstrate understanding of academic content words and phrases in selected concept‐based categories (S.1.13) ‐ Transitioning students will be able to communicate academic knowledge orally, using specific, technical, and abstract vocabulary of grade‐level, academic content (S.1.28) and will be able to demonstrate knowledge of spoken vocabulary, using specific, technical, and/or abstract vocabulary of grade‐level, academic content (S.1.29) ‐ S.3 Academic Interaction: Students will comprehend and communicate orally, using spoken English to participate in academic settings Huff ‐ Beginning students will be able to identify important information about academic content, using prior knowledge and/or visual cues as needed (S.3.9) and compare and contrast information orally (S.3.21) ‐ Early intermediate students will be able to demonstrate comprehension of oral question on academic content that require short answers (S.3.8) and give one‐step directions (S.3.11) ‐ Intermediate students will be able to demonstrate comprehension of oral questions that are based on academic content (S. 3.30), demonstrate comprehension of oral, multiple‐step directions (S.3.29), and respond to factual and inferential questions that are based on academic content (S.3.39) ‐ Transitioning Students will be able to support a conclusion or finding by stating facts or logical reasons (S.3.64) and demonstrate comprehension of inferential or abstract questions that are based on academic content (S.3.52) Content Objectives: ‐ Students will be able to collect and provide information on specific topics about themselves, their classmates, or their families as demonstrated verbally or through gestures (pointing/raised hands) ‐ Students will be able to demonstrate their understanding of the use of bar graphs to represent data as displayed by participation in the creation of bar graphs using stacking blocks and on paper. ‐ Students will be able to show their understanding of the meaning of the bar graphs in terms of the data represented the data displayed on their graphs by indicating (through gesturing or verbally) what different parts of their bar graphs represent (ex: this column is for who has 3 people in their family). ‐ Students will be able to display their ability to interpret the graphs by comparing (verbally or through gestures) information represented on the graphs (ex: pointing or explaining which is most/least) Language Objectives: ‐ Beginning and Early Intermediate Students will be able to: ‐ Identify vocabulary words when given a description of the word by gesturing at printed words on the board or at graphs Huff ‐ Follow oral instructions by participating in class activities (like providing information for bar graphs) ‐ Use social language (in the form of gestures or verbally) to accomplish group goals when working on bar graphs in groups ‐ Intermediate students will be able to: ‐ Verbally identify vocabulary words presented orally with assistance of verbal prompting and graphs ‐ Verbally express instructions during group work ‐ Transitioning students will be able to: ‐ Identify and explain the meaning of vocabulary words (orally) when presented with the written word ‐ Explain multi‐step instructions during group work Vocabulary Objectives: Academic: bar, collect, data Content: “bar graph” ‐ Beginning and early intermediate students will be able to identify content and academic vocabulary by coloring/circling the appropriate part of the bar graph identification worksheet when given a verbal description/definition of the vocabulary word. ‐ Intermediate students will be able to match the written vocabulary word to its corresponding part on the bar graph identification worksheet. ‐ Transitioning students will be able to write the vocabulary words as labels for the parts of the bar graph identification worksheet. Detailed Description of Activities: ‐ Students will be seated on the rug in rows facing the teacher. ‐ Do a review of tally charts using the Hair Color chart the class created in Lesson 1. Also use as a reference the charts students made in groups, which will be posted on the wall. Have a discussion with the class going over the uses of tally charts as representatives of information. ‐ Present content objectives to students: Huff ‐ Today we will learn how to use bar graphs to represent information about ourselves and about our class. ‐ We will learn what a bar graph is and how to make one. ‐ We will learn how to “collect” information and how to show it in a bar graph. ‐ We will learn how to use a bar graph to compare things in the bar graph. ‐ Post the content objectives on the board. ‐ Present language objectives to the class: ‐ Today we will learn how to use the words “bar graph”, “bar”, “collect”, and “data” ‐ We will practice following instructions. ‐ We will practice using language (our words) to work on bar graphs in groups. ‐ Post the language objectives on the board. ‐ Present vocabulary to students. Vocabulary words should be printed on the board along with vocabulary from Lesson 1. Ask for students to volunteer definitions of academic words. Talk about the multiple definitions of the word “bar” and examples of “collect” (students may collect things like trading cards/toys/etc.) and how we will be collecting information. Explain that data is another way to say information (a word they should already be familiar with) and that “data” is a name to describe things we will be collecting. ‐ Draw a picture of a bar graph on the white board: ‐ Point out the bars and explain that how tall the bar is shows how many of whatever thing you are counting there are. Show how the numbers are written on the side of the graph and how you trace with your finger from the top of the bar to the number to see how many of the thing you are counting there are. ‐ Do a sample bar graph with the class: ‐ Draw a bar graph with “girls” and “boys” written on the bottom. ‐ Ask all the girls in the class to raise their hands. Draw a square over “girls” for each girl, being explicit about pointing out a child with their hand raised and then drawing a square for that child. Explain how you draw one block for every one person raising their hand. Huff ‐ Do the same for the boys. ‐ Ask the class if there are more boys or girls in the class. Explain how we know this because the tallest bar is the one with the “most”. Reinforce this by tracing from the top of the shorter bar to the number and then the top of the taller bar to the number to illustrate how the taller one relates to the bigger number. ‐ Go back to desks (in goups of four) to practice reading bar graphs. Students will work individually to complete this worksheet. They are encouraged talk to their neighbor while they work if they have questions. 5 4 3 2 1 Number of Trains Tony Has ’s Number of Trains Julia Has ’s Huff Tony’s Trains: Julia’s Trains: How many toy trains does Tony have? How many toy trains does Julia have? Who has the most toys? ‐ Higher language proficiency students (intermediate and transitioning) will write complete sentences after the questions and will be given copies with worded questions only. Early intermediate and beginner students may write just the number/name and will have sheets with the pictures included in the questions (as pictured above). ‐ Walk around the class checking group/student comprehension and making sure everyone is participating. Ask pairs to show you how they figured out how many trains Tony and Julia had and how you can tell who has the most. Students should demonstrate their understanding through gestures or verbally depending on language proficiency Huff ‐ Now students will work in their groups of four on creating a bar graph using given information. This time they will create the bar graphs using a graph template (one provided per group) on which they will place small stacking cubes. 7 Graph Template: 6 5 4 3 2 1 Brown Hair Blonde Hair Red Hair ‐ Groups will be given another sheet in addition to this which will have a picture of a fictional class on it. Ask students to create a bar graph describing hair color in Mr. Graph’s class. Huff Mr. Graph’s Class Picture ‐ Students will work together to place a cube for each student in the correct place on the provided graph. ‐ For the last activity of this lesson, have students stay in their groups and brainstorm something they would like to know about the class (give some examples to get them thinking) and make a list of possibilities in their groups. Groups should vote on which one they would like to work on a bar graph for. Have students draw the graph onto a piece of cardstock. ‐ Have groups record their own members information, drawing a square onto their bar graphs for each person. Groups will rotate (in the same way as in the tallies closing activity, by 2 groups coming together at a time) and collect each other’s information, recording as they go. ‐ Have students return to their home groups and discuss what they found out. They should write down most and least on their posters. ‐ Groups will present their findings to the class. Give them time to organize and rehearse their presentations in groups. Student 1: What we were finding out about, Student 2: Identify the parts of our bar graph, Student 3: Report total counts for each collumn, Student 4: Identify most, Student 5: Identify least Huff Closing: ‐ Students will do a worksheet (bar graph identification) individually as a vocabulary check. The worksheet will be the Mr. Graph’s class activity reproduced with: ‐ for early intermediate students the instructions: circle the bar graph with blue color the bars red circle the data we used with green ‐ for intermediate students: a word bank with the words “bar graph”, “bars”, and “data” and blanks to fill in on the worksheet ‐ for transitioning students: blanks to fill in on the worksheet but no word bank ‐ Do a turn and talk about the word “collect”. Have students talk about when we “collected” data in class and how we did it. ‐ Do a turn and talk about why we use bar graphs and why they are helpful. Have students share with the class some of the things they came up with. Huff
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