# Students will explore how the changes in

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 NATIONAL MATH + SCIENCE INITIATIVE Elementary Science Riding on a Pendulum What happens when you make a change to a pendulum? LEVEL Grade Four OBJECTIVES Students will recognize that when a change is made to a system by adding weight or changing length, the patterns observed may also change. identify variables and systematic change in the experimental process. apply appropriate observation and note-taking skills. use data collected to explain results. use results to make and support a plausible recommendation for playground swings. MATERIALS AND RESOURCES Washers to use as weights String Timer, handheld stopwatch or online equivalent Meter or yard sticks at each station to measure starting position of pendulum Data collection sheets or science journal for each station Graph paper or grid ABOUT THIS LESSON Students will explore how the changes in the length of string or the weight of the pendulum bob impact the swing of the pendulum. Students will apply findings to a pendulum they are most familiar with the swings on their playground or at their local park. The goal of this lesson is not for students to explain how the pendulum works but to observe the pendulums and use evidence (observation and measurement) to report their results. Students will begin to develop an understanding of the big idea: sometimes changes to a system impact how the entire system works, but not all changes impact how a system works. This activity models for students how to systematically manage changing variables for experiments. Stations will be set up to allow students to change a variable and observe and record what happens. A writing component in this lesson is optional. You may wish to have students make notes and record observations in their science journals. A pencil and paper icon has been added to select slides indicating a writing opportunity for students. PRIOR LEARNING Students can use a stop watch to record time. Students can identify which number is in the middle when the results of three trials are listed from least to greatest. T E A C H E R P A G E S - i

2 Elementary Riding on a Pendulum T E A C H E R P A G E S STANDARDS FOR SCIENCE CONTENT NMSI Science lessons will be aligned with the next generation of multi-state science standards that are currently in development. These standards are being developed around the anchor documents, A Framework for K-12 Science Education, which was produced by the National Research Council. Where applicable, the NMSI science lessons are also aligned to the Common Core Standards for Mathematical Content as well as the Common Core Literacy Standards for Science and Technical Subjects. TARGETED STANDARDS NEXT GENERATION SCIENCE STANDARDS 4-PS3-a. Construct an argument using evidence about the relationship between the change in motion and the change in energy of an object. [Assessment Boundary: No attempt is made to give a precise or quantitative definition of energy. Students should not be assessed on quantitative measures of change.] REINFORCED/APPLIED STANDARDS COMMON CORE STATE STANDARDS W.4.2 W.4.2a W.4.2b W.4.2c Write informative/explanatory texts to examine a topic and convey ideas and information clearly. Introduce a topic clearly and group related information in paragraphs and sections; include formatting (e.g., headings), illustrations, and multimedia when useful to aiding comprehension. Develop the topic with facts, definitions, concrete details, quotations, or other information and examples related to the topic. Link ideas within categories of information using words and phrases (e.g., another, for example, also, because). W.4.2d W.4.2e 4.MD.2 Use precise language and domain-specific vocabulary to inform about or explain the topic. Provide a concluding statement or section related to the information or explanation presented. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. SCIENTIFIC PRACTICES The Next Generation Science Standards (NGSS) are designed to engage students in Scientific and Engineering Practices by using Crosscutting Concepts to deepen the students understanding of Disciplinary Core Ideas. NMSI has developed icons to provide a visual reference for teachers to denote which dimensions students will explore during a given lesson. DEVELOPING AND USING MODELS!! ENGAGING IN ARGUMENT FROM EVIDENCE SYSTEMS AND SYSTEM MODELS CAUSE AND EFFECT PS2: FORCES AND INTERACTION ASKING QUESTIONS DEFINING PROBLEMS PATTERNS ii -

3 Elementary Riding on a Pendulum NMSI CONTENT PROGRESSION CHART In the spirit of NMSI s goal to connect mathematics across grade levels, the Content Progression Chart demonstrates how specific skills build and develop from third grade through fifth grade. Each column under a grade level lists the concepts and skills that students in that grade should master. Each row illustrates how a specific skill is developed as students advance through their mathematics standards. 3rd Grade Skills/ Objectives 4th Grade Skills/Objectives 5th Grade Skills/ Objectives 3.MD.2 4.MD.2 5.MD.1 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. T E A C H E R P A G E S - iii

4 Elementary Riding on a Pendulum T E A C H E R P A G E S ACCOMMODATIONS/ SCAFFOLDING SUGGESTIONS Gifted and Talented (GT) Challenge gifted students to design their own experiments. Introduce students to the interactive Pendulum Lab on the University of Colorado at Boulder web site. This simulation can be run on the website or downloaded to a computer. The simulation provides students with an opportunity to change the length of the string and mass of the bob as well as compare two pendulums. The interactive lab also includes a stopwatch for student use. English Language Learners (ELL) Students understanding increases when the teacher uses the PowerPoint that accompanies this lesson. Color coded vocabulary and visual representations help students build understanding of content specific vocabulary. Providing students with opportunities to work informally with materials prior to doing the labs will build background knowledge and understanding. Special Education (Sp. Ed.) The activity is hands-on which allows for students of any ability to engage and to gain understanding. Teachers may elect to pair special education students with students who are good note-takers. Notes for the lab can be copied and used by both students. Providing students with opportunities to work informally with materials prior to doing the labs will build background knowledge and understanding. THE FOLLOWING ARE FORMATIVE ASSESSMENTS Students explain why multiple trials are needed and why each trial has to be done in the same way. Students complete testing, measuring and data collection. The way students complete their data collections sheets can provide valuable information about student progress. THE FOLLOWING ARE SUMMATIVE ASSESSMENTS Students clearly state how changing one part of a system impacts the performance of the whole system. Students are able to use the data collected to explain and support their results. Students are able to use the data collected to make a plausible recommendation. TECHNOLOGY SUGGESTIONS Create your own graph paper Online Stopwatch can be used to count the periods for 30 seconds Interactive Pendulum Lab United Streaming This site has a vast amount of student centered videos by grade level, subject, topic or standard. Britannica for Kids This site has a wealth of information and interactive activities by grade level, standard and topic. PBS Kids Pendulum Games and Factoids iv -

5 Elementary Riding on a Pendulum REFERENCES A Framework for K-12 Science Education a free copy is available at php?record_id=13165 National Research Council. (2012). A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas. (pp. 45, ). Committee on a Conceptual Framework for New K-12 Science Education Standards. Board on Science Education, Division of Behavioral and Social Sciences and Education. Washington, DC: The National Academies Press. COMMON MISCONCEPTIONS Students may think that the period of a pendulum (the time it takes for a complete cycle swinging both left and right) is determined by the weight (mass) of the pendulum bob. a heavier or lighter bob will swing faster. materials used to make the pendulum will determine the period. the shape of the pendulum bob will determine the period of the pendulum. the definition of period is how long a pendulum swings before stopping, instead of it being a cycle including only one swing left and one swing right. TEACHER BACKGROUND A pendulum is any object that hangs from a fixed point and is allowed to swing freely. The swing down of the object is caused by the pull of gravity. The swing up of the object is inertia, the tendency of an object to stay in motion. Students experience pendulums in the form of swings on the playground. They may be less familiar with pendulums on clocks. Because the swing of a pendulum is predictable, pendulums have been used to keep time. Students may enjoy learning about the old-fashioned clocks that use pendulums. The parts of the pendulum: string and bob may be referred to as a system where the parts work together interacting as one complete whole. The bob is the weight (mass) found at the end of the string. Students at this age find it difficult to distinguish between mass and weight. Weight will be used throughout the lesson. From the Next Generation Science Standards for grade 5 ( Boundary: At this grade level, mass and weight are not distinguished ), teachers are given the option of using a meter stick or yard stick. While science measurements are often done using the metric system, students at this age would benefit from using the yard stick to become comfortable with tools that measure in fractional units. Period is a common term used to describe a full swing of the pendulum. This is the movement of the pendulum from the start position to the other side and back again. The frequency of a pendulum is the number of full swings or periods in a specific length of time. Students will be counting the periods, full swings, in 30 seconds and recording those results. Students will vary string length to see if changing the length of the string will affect the number of periods in 30 seconds. Longer pendulums have a lower frequency than shorter pendulums. On the playground you may have observed students shortening the chains on the swing by winding them over the top bar of the swing set. Now students will be able to use scientific evidence in the form of measured data to explain why shorter swings are more fun. If time permits, allow students to change other variables. These could include changing the weight of the bob. Changing the weight of the bob should make no change to the frequency of the pendulum. Challenge students to apply the data from their experiments to the swings on the playground. T E A C H E R P A G E S - v

7 Elementary Riding on a Pendulum PHASE II: SETTING UP THE TRIALS 1. Prior to the discussion, set up multiple work stations varying the length of the string but keeping the weight of the pendulum bob constant. Washers purchased together are standard in weight. Check to confirm the weight. 2. Demonstrate how students will work with a partner to report to each station and gather test data. 3. Explain that the students can work in any order as long as they record the data in the correct section of their data collection sheet. 4. Students should count only complete swings in thirty seconds. Demonstrate for them how to count a full swing, called the period of a pendulum. 5. Students should start the pendulum from the same spot each time. You may want to place a marker at each testing station for students to use as a starting point. Remind students that this marker (starting from the same point each time) will keep the variable the same for every test, making this a fair test. 6. Share the data collection sheet, assign groups and if necessary, roles for group members. Roles for groups of two could be (a) timer and (b) counter, with both students as recorders. Roles for groups of three could be (a) timer, (b) counter and (c) recorder. The timer and counter could copy the recorder s notes at the end of the trials. PHASE III: COMPLETING THE DATA COLLECTION 1. Explain that students will be reporting the data from their tests to let other scientists in the building know what we discovered. 2. Ask students what they could do to show other scientists a comparison of the data for each length of string. 3. Share that a graph is a good visual tool to show results. 4. Explain that they will record one number for each of the string lengths. To do that they will find the middle number or (median) for each string length. 5. Review finding the median number with students. PHASE IV: CREATING THE GRAPHS 1. Have students work together to create a label for their graph. The results of the class should be the same or nearly the same for each station. Model creating the increments and labels for string length and number of swings. 2. Have students use data from their table to graph their results. PHASE V: MAKING OBSERVATIONS 1. Discuss with students the data they collected. Ask students to describe what they see when they look at the graph. What does the data tell them? 2. Based on the data, would they like to see changes made to the swings in their playground or local park? Why or why not? ADDITIONAL TEST SUGGESTIONS 1. Invite students to compare how swings would work with weight changes to the pendulum bob. 2. Repeat the process used in the initial investigation. 3. Invite students to compare the number of swings when they swing higher. In this exploration students will start the pendulum from different heights finding out if swinging higher means swinging faster. 4. Repeat the process used in the initial investigation. T E A C H E R P A G E S - vii

8 Elementary Riding on a Pendulum WORKING AS SCIENTISTS T E A C H E R P A G E S Students will be investigating the real world by discovering how changing the length on a swing impacts the motion of the swing. ANSWERS Answers for this lesson will vary. To obtain the maximum benefit of the lesson, ask students to go beyond the expected responses, using background knowledge, making other conceptual connections, or generating a new prediction to test. Students should be able to explain what the data tells them and apply the data collected to a plausible recommendation. Transforming Math & Science Education 8350 North Central Expressway, Suite M-2200, Dallas, Texas nms.org viii -

9 NATIONAL MATH + SCIENCE INITIATIVE Elementary Science Riding on a Pendulum NAME PENDULUM DATA COLLECTION Use this sheet to collect data as you complete your trials. Number of Swings in 30 seconds Length of string Trial 1 Trial 2 Trial 3 Middle Number Station 1 Station 2 Station 3 Station 4 Station 5 Station 6 FIND THE MIDDLE NUMBER. List the numbers from each trial from least to greatest. Record the middle number in the Middle Number column for each situation. ANSWER THE FOLLOWING QUESTIONS IN COMPLETE SENTENCES. 1. What change was made to the pendulum at each station? - 1

10 Elementary Riding on a Pendulum 2. Why did you complete multiple trials at each station? 3. What did you observe about the pendulum period when the string was longer? MAKE A RECOMMENDATION HOW WILL THE SWINGS BE DIFFERENT IF THE CHAINS OF THE SWINGS ARE LONGER? Answer this question using your test data Should the length of the chains of the swing be changed? Use the box below to create a labeled diagram of your recommendation for the swings. Below the box explain your test results and make a recommendation. 2 -

11 Elementary Riding on a Pendulum NAME PENDULUM DATA COLLECTION Use this sheet to collect data as you complete your trials. Number of Swings in 30 seconds Weight of Pendulum Bob Trial 1 Trial 2 Trial 3 Middle Number Station 1 Station 2 Station 3 Station 4 Station 5 Station 6 FIND THE MIDDLE NUMBER ANSWER THE FOLLOWING QUESTIONS IN COMPLETE SENTENCES. List the numbers from each trial from least to greatest. Record the number in the middle in the Middle Number column above. 1. What change was made to the pendulum at each station? 2. Why did you complete multiple trials at each station? - 3

12 Elementary Riding on a Pendulum 3. What did you observe about the pendulum period when the weight (mass) was changed? MAKE A RECOMMENDATION HOW WILL THE SWINGS BE DIFFERENT IF THE WEIGHT (MASS) OF THE STUDENT CHANGES? Answer this question using your test data Do students of different weight (mass) have the same experience on the swings? Use the box below to draw your recommendation for the swings. Below the box explain your test results and make a recommendation. 4 -

13 Elementary Riding on a Pendulum THE FOLLOWING ARE STATION CARDS TO REMIND STUDENTS WHAT ACTIVITY THEY ARE COMPLETING WHILE WORKING AS SCIENTISTS. STRING LENGTH CHANGES - 5

14 Elementary Riding on a Pendulum 6 -

15 Elementary Riding on a Pendulum - 7

16 Elementary Riding on a Pendulum 8 -

17 Elementary Riding on a Pendulum - 9

18 Elementary Riding on a Pendulum THE FOLLOWING ARE STATION CARDS TO REMIND STUDENTS WHAT ACTIVITY THEY ARE COMPLETING WHILE WORKING AS SCIENTISTS. PENDULUM BOB MASS CHANGES 10 -

19 Elementary Riding on a Pendulum - 11

20 Elementary Riding on a Pendulum 12 -

21 Elementary Riding on a Pendulum - 13

22 Elementary Riding on a Pendulum 14 -

23 Elementary Riding on a Pendulum NAMES PENDULUM EVALUATION RUBRIC Comments: - 15

24 Elementary Riding on a Pendulum WORKING AS A SCIENTIST 16 -

25 Elementary Riding on a Pendulum Transforming Math & Science Education 8350 North Central Expressway, Suite M-2200, Dallas, Texas nms.org - 17

26 Riding on a Pendulum Working as Scientists Experiment 1

27 What is a pendulum? A pendulum is a weight hung from a support that uses gravity to allow the system to swing freely. support weight also called pendulum bob

28 Where do we find pendulums? Grandfather Clock The pendulum in a grandfather clock swings once a second! The pendulum is attached to weights. The weights move when the pendulum swings. Hands on the clock are moved by the weights. Grandfather clocks keep accurate time.

29 Any other pendulums?

30 Students on the playground were wondering how they could improve the swings.

31 One student asks, How will the swings be different if the chains of the swings are longer?

32 Record your prediction. If the chains of the swings are longer then the swings will.

33 How will we know if there is a difference? We can use a stopwatch and count how many swings the pendulum makes in 30 seconds.

34 How do we define swing? Is it a swing when the object moves both left and right? Or fixed point Is it a swing when the object moves only one direction? wire Period of a pendulum is the completion of a swing left and a swing right. bob Period

35 Working as a team

36 We will use a table to record test data. The length of the string is written at each station. Copy the length of the string at the station into the table. Station 1 Length of string Number of Swings in 30 seconds Trial 1 Trial 2 Trial 3 Middle Number One partner will count the number of swings. One partner will be the timer. Station 2 Station 3 Station 4 Station 5 Station 6

37 Middle Number Example: Trial 1 Trial 2 Trial If the number of swings were 9, 5, 3 Then the Middle number would be 5 Because, it comes between the 9 and the 5 when we count in order 3, 5, 9 Middle number when counting

38 We will use a table to record test data. Number of Swings in 30 seconds Length of string Trial 1 Trial 2 Trial 3 Middle Number Why should we repeat the trials three times? Station Station 2 Station 3 Station 4 Station 5 Station 6

39 Calculate the Middle Number We may have different numbers of swings for each trial. We will help our reader better understand our trial results. We can find the number in the middle of the trials. Length of string Number of Swings in 30 seconds Trial 1 Trial 2 Trial 3 Middle Number Station Station 2 Station 3 Station 4 Station 5 Station 6

40 Working as a Scientist Identify variables length of string Identify Variables Investigate count number of swings in 30 seconds Evaluate observe what happened Explain what you observed Share graph and write Share Explain Investigate Evaluate

41 Middle Periods of Pendulums (Middle Number) Number of Periods Making a graph Graph the Middle Number of swings for each string length. Length of String

42 Middle Periods of Pendulums (Middle Number) Number of Periods Observations? What pattern do you see when the length of the string increases? Length of String

43 Make a Recommendation Scientists will make a recommendation for the length of the swing chains. Draw your recommendation. Explain how you used the data to make your recommendation.

44 Riding on a Pendulum Working as Scientists Experiment 2

45 One student asks, How will the swings be different if the students are bigger or smaller?

46 Record your prediction You can make a prediction about bigger or smaller students! If the students are bigger then the swings will.

47 Working as a team

48 We will use a table to record test data. The weight of the pendulum bob is written at each station. Copy the weight of the pendulum bob at the station into the table. Station 1 Station 2 Weight of bob Number of Swings in 30 seconds Trial 1 Trial 2 Trial 3 Middle Number One partner will count the number of swings. Station 3 Station 4 One partner will be the timer. Station 5 Station 6

49 We will use a table to record test data. Number of Swings in 30 seconds Weight of bob Trial 1 Trial 2 Trial 3 Middle Number Why should we repeat the trials three times? Station Station 2 Station 3 Station 4 Station 5 Station 6

50 Calculate the Middle Number We may have different numbers of swings for each trial. Weight of bob Number of Swings in 30 seconds Trial 1 Trial 2 Trial 3 Middle Number We will help our reader better understand our trial results. We can find the number in the middle of the trials. Station Station 2 Station 3 Station 4 Station 5 Station 6

51 Middle Periods of Pendulums (Middle number) Number of Periods Making a graph Graph the middle number of swings for each weight of the bob. Weight of bob

52 Middle Periods of Pendulums Middle Number Number of Periods Observations? What pattern do you see when the weight of the pendulum bob increases? Weight of bob

53 Make a Recommendation Scientists will make a recommendation for the weight of the pendulum bob. Draw your recommendation. Explain how you used the data to make your recommendation.

### This lesson introduces students to decimals.

NATIONAL MATH + SCIENCE INITIATIVE Elementary Math Introduction to Decimals LEVEL Grade Five OBJECTIVES Students will compare fractions to decimals. explore and build decimal models. MATERIALS AND RESOURCES

### Scientific Experiments Using the Inquiry Activity Pendulums

Scientific Experiments Using the Inquiry Activity Pendulums Prep Time: 30 minutes Class Time: 1 class period Word Wall Words: experiment, independent variable, controlled variable, dependent variables,

### OPEN LESSON SAMPLE LESSONS FOR THE CLASSROOM FROM LAYING THE FOUNDATION

OPEN LESSON SAMPLE LESSONS FOR THE CLASSROOM FROM LAYING THE FOUNDATION Middle Grades Science Running the Stairs Measuring Work, Energy, and Power About this Lesson This activity can be used to introduce

### Carroll County Public Schools Elementary Mathematics Instructional Guide (5 th Grade) Unit #4 : Division of Whole Numbers and Measurement

Background Information and Research By fifth grade, students should understand that division can mean equal sharing or partitioning of equal groups or arrays. They should also understand that it is the

### Science Notebooks in the Classroom. Notebook Criteria

presentapresents Presents Science Notebooks in the Classroom kdkrifr Notebook Criteria This document was developed by Bay Area Schools for Excellence in Education (BASEE) a local systemic change project

### Explore 2: Gathering Momentum

Explore : Gathering Momentum Type of Lesson: Learning Goal & Instructional Objectives: Content with Process: Focus on constructing knowledge through active learning. In this investigation, students calculate

### Unit: Understanding Science and Engineering Through Solar Power Lesson 5 Making Observations and Recording Data for Solar Powered Water Pumping

Unit: Understanding Science and Engineering Through Solar Power Lesson 5 Making Observations and Recording Data for Solar Powered Water Pumping AUTHOR: Mike Hellis DESCRIPTION: Students use a solar module

### Scaffolding for Claims, Evidence and Reasoning An Introduction to Science Unit

Scaffolding for Claims, Evidence and Reasoning An Introduction to Science Unit Purpose - In this sampling from an Introduction to Science Unit for Middle School students, 7 experiment activities are showcased

### Slope Investigation. Grade 8, Algebra 1, or Math 1 in a unit with rate of change and slope

NATIONAL MATH + SCIENCE INITIATIVE Mathematics Slope Investigation LEVEL Grade 8, Algebra 1, or Math 1 in a unit with rate of change and slope MODULE/CONNECTION TO AP* Rate of Change *Advanced Placement

### I. Title of Lesson: Learning from Artifacts and What Artifacts Tell Us

Lesson Plan Class: Seventh Grade Subject: World History Ancient Civilizations Topic: Unit One Investigating the Past: How are social scientists like detectives? I. Title of Lesson: Learning from Artifacts

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS

PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS Length of Course: Term Elective / Required: Required Schools: Elementary Student Eligibility:

### Explore 1: Playing with Toy Cars

Explore 1: Playing with Toy Cars Type of Lesson: Content with Process: Focus is on constructing knowledge through active learning. Learning Goal & Instructional Objectives Students conduct experiments

### Spring Scale Engineering

Spring Scale Engineering Provided by TryEngineering - Lesson Focus Lesson focuses on the engineering behind building a spring scale and its use as a measuring device. Students work in teams to design,

### INFORMATION FOR PARENTS AND CARERS TARGETS IN MATHEMATICS

Emerging towards the expected Year 1 level I can share 6 objects between 2 children. I can write and use numbers (less than 10) in role play. I can compare bigger than and smaller than in role play. I

### Music Makers. paper clips

Fifth Grade Science Design Brief Music Makers Background: We know that sound is a form of energy produced and transmitted by vibrating matter and that pitch is determined by the frequency of a vibrating

### CONNECTING LESSONS NGSS STANDARD

CONNECTING LESSONS TO NGSS STANDARDS 1 This chart provides an overview of the NGSS Standards that can be met by, or extended to meet, specific STEAM Student Set challenges. Information on how to fulfill

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Hands-On Data Analysis

THE 2012 ROSENTHAL PRIZE for Innovation in Math Teaching Hands-On Data Analysis Lesson Plan GRADE 6 Table of Contents Overview... 3 Prerequisite Knowledge... 3 Lesson Goals.....3 Assessment.... 3 Common

### Valor Christian High School Mrs. Bogar Biology Graphing Fun with a Paper Towel Lab

1 Valor Christian High School Mrs. Bogar Biology Graphing Fun with a Paper Towel Lab I m sure you ve wondered about the absorbency of paper towel brands as you ve quickly tried to mop up spilled soda from

### AP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?

1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The

### Whitnall School District Report Card Content Area Domains

Whitnall School District Report Card Content Area Domains In order to align curricula kindergarten through twelfth grade, Whitnall teachers have designed a system of reporting to reflect a seamless K 12

### Engaging Middle School Students in the Analysis and Interpretation of Real-World Data

Engaging Middle School Students in the Analysis and Interpretation of Real-World Data by Cheryl A. McLaughlin Copyright 2013, National Science Teachers Association (NSTA). Reprinted with permission from

### Fractions as Numbers INTENSIVE INTERVENTION. National Center on. at American Institutes for Research

National Center on INTENSIVE INTERVENTION at American Institutes for Research Fractions as Numbers 000 Thomas Jefferson Street, NW Washington, DC 0007 E-mail: NCII@air.org While permission to reprint this

### Subject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1

Subject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1 I. (A) Goal(s): For student to gain conceptual understanding of the metric system and how to convert

### Experiment #8, Error Analysis of the Period of a Simple Pendulum

Physics 181 - Summer 013 - Experiment #8 1 Experiment #8, Error Analysis of the Period of a Simple Pendulum 1 Purpose 1. To measure the period of a pendulum limited to small angular displacement. A pendulum

### MATHEMATICS - SCHEMES OF WORK

MATHEMATICS - SCHEMES OF WORK For Children Aged 7 to 12 Mathematics Lessons Structure Time Approx. 90 minutes 1. Remind class of last topic area explored and relate to current topic. 2. Discuss and explore

### One Stop Shop For Teachers. Georgia Performance Standards Framework for Physical Science 8 th GRADE

Subject Area: Physical Science Grade: 8 Unit: Fast and Furious Forces General Task Fact or Friction S8P3. Students will investigate relationship between force, mass, and the motion of objects. a. Determine

### Free Fall: Observing and Analyzing the Free Fall Motion of a Bouncing Ping-Pong Ball and Calculating the Free Fall Acceleration (Teacher s Guide)

Free Fall: Observing and Analyzing the Free Fall Motion of a Bouncing Ping-Pong Ball and Calculating the Free Fall Acceleration (Teacher s Guide) 2012 WARD S Science v.11/12 OVERVIEW Students will measure

### Science Grade 1 Forces and Motion

Science Grade 1 Forces and Motion Description: The students in this unit will use their inquiry skills to explore pushing, pulling, and gravity. They will also explore the different variables which affect

### Home Runs, Statistics, and Probability

NATIONAL MATH + SCIENCE INITIATIVE Mathematics American League AL Central AL West AL East National League NL West NL East Level 7 th grade in a unit on graphical displays Connection to AP* Graphical Display

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Ministry of Education. The Ontario Curriculum Exemplars Grade 6. Mathematics. Samples of Student Work: A Resource for Teachers

Ministry of Education The Ontario Curriculum Exemplars Grade 6 Mathematics Samples of Student Work: A Resource for Teachers 2002 Contents Introduction......................................................

### Math vocabulary can be taught with what Montessorians call the Three Period Lesson.

Full Transcript of: Montessori Mathematics Materials Presentations Introduction to Montessori Math Demonstrations ( Disclaimer) This program is intended to give the viewers a general understanding of the

### Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman

Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children

### Galileo s Pendulum: An exercise in gravitation and simple harmonic motion

Galileo s Pendulum: An exercise in gravitation and simple harmonic motion Zosia A. C. Krusberg Yerkes Winter Institute December 2007 Abstract In this lab, you will investigate the mathematical relationships

### Grade 4 Multi-Digit Multiplication and Division with One Divisor Unit of Instruction

Grade 4 Multi-Digit Multiplication and Division with One Divisor Unit of Instruction This is a progressive unit of instruction beginning with students investigating the concrete area model of fraction

### 3rd/4th Grade Science Unit: Forces and Motion. Melissa Gucker TE 804 Spring 2007

3rd/4th Grade Science Unit: Forces and Motion Melissa Gucker TE 804 Spring 2007 Part I: Learning Goals Documentation Unit Title: Forces and Motion Grade Level: 3 rd Designer: Melissa Gucker The Main Idea(s)/Importance

### A ball, attached to a cord of length 1.20 m, is set in motion so that it is swinging backwards and forwards like a pendulum.

MECHANICS: SIMPLE HARMONIC MOTION QUESTIONS THE PENDULUM (2014;2) A pendulum is set up, as shown in the diagram. The length of the cord attached to the bob is 1.55 m. The bob has a mass of 1.80 kg. The

### Fractions and Decimals

Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### Pythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom

Pythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom Grade Level: Seven Time Span: Four Days Tools: Calculators, The Proofs of Pythagoras, GSP, Internet Colleen Parker Objectives

### Unit 4 Measures time, mass and area

Unit 4 Measures time, mass and area Five daily lessons Year 4 Spring term (Key objectives in bold) Unit Objectives Year 4 Estimate/check times using seconds, minutes, hours. Page 98 Know and use the relationships

### Assessment Management

Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Year 1 maths expectations (New Curriculum)

Year 1 maths expectations Counts to and across 100, forwards and backwards, beginning with 0 or one, or from any given number Counts, reads and writes numbers to 100 in numerals; counts in multiples of

### Appendix A. Comparison. Number Concepts and Operations. Math knowledge learned not matched by chess

Appendix A Comparison Number Concepts and Operations s s K to 1 s 2 to 3 Recognize, describe, and use numbers from 0 to 100 in a variety of familiar settings. Demonstrate and use a variety of methods to

### Practical Applications of Fractions, Percents, and Decimals SIOP Lesson Plan

Practical Applications of Fractions, Percents, and Decimals SIOP Lesson Plan This plan was created by Ivonne Govea as a part of the Two-Way SIOP (TWI SIOP) project conducted at CAL and was later adapted

### Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction

Busy Ant Maths Year Medium-Term Plans Unit 9 Geometry - Position & direction Unit 0 ( Temperature) Unit Statistics Unit Fractions (time) 8 Busy Ant Maths Year Medium-Term Plans Introduction Unit Geometry

### MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)

MACMILLAN/McGRAW-HILL MATH CONNECTS and IMPACT MATHEMATICS TO WASHINGTON STATE MATHEMATICS STANDARDS ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) And GRADE LEVEL EXPECTATIONS (GLEs) / Edition, Copyright

### 5th Grade Unit 1: Whole Number and Decimal Fraction Place Value to the One Thousandths (4 Weeks)

5th Grade Unit : Whole Number and Decimal Fraction Place Value to the One Thousandths (4 Weeks) Stage Desired Results Established Goals Unit Description Students continue to extend and apply their understanding

T92 Mathematics Success Grade 8 [OBJECTIVE] The student will create rational approximations of irrational numbers in order to compare and order them on a number line. [PREREQUISITE SKILLS] rational numbers,

### SOLAR OVEN SCIENCE FAIR PROJECT

SOLAR OVEN SCIENCE FAIR PROJECT Student Project Ideas: The effect of insulation type on cooking temperature The effect of lining color on cooking temperature The effect of oven depth on cooking temperature

### MNLA Curriculum Unit A, Lesson 5

MNLA Curriculum Unit A, Lesson 5 UNIT TITLE: HOOKED ON HORTICULTURE: USING GARDEN CENTERS TO DISCOVER THE WONDERS OF PLANTS LESSON 5: Scheduling Planting Dates for Flowering Potted Plants; Two 30-40 minute

### Discovering Math: Using and Collecting Data Teacher s Guide

Teacher s Guide Grade Level: 3-5 Curriculum Focus: Mathematics Lesson Duration: Four class periods Program Description Discovering Math: Using and Collecting Data From data points and determining spread

### Math syllabus Kindergarten 1

Math syllabus Kindergarten 1 Number strand: Count forward and backwards to 10 Identify numbers to 10 on a number line Use ordinal numbers first (1 st ) to fifth (5 th ) correctly Recognize and play with

### Multiplication Arrays

Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

### Harmonic Motion: The Pendulum Lab Student Version

Harmonic Motion: The Pendulum Lab Student Version In this lab you will set up a pendulum using rulers, string, and small weights and measure how different variables affect the period of the pendulum. You

### Assessment in Abacus. Continual professional development. Next. Teach. Learn and master. Plan. Assess mastery

Assessment in Abacus In Abacus, assessment is integrated into teaching and learning so that it can be constantly used to diagnose future learning needs. Rather than hive it off as a strand to be done in

### Sample Fraction Addition and Subtraction Concepts Activities 1 3

Sample Fraction Addition and Subtraction Concepts Activities 1 3 College- and Career-Ready Standard Addressed: Build fractions from unit fractions by applying and extending previous understandings of operations

A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

### RUTHERFORD HIGH SCHOOL Rutherford, New Jersey COURSE OUTLINE STATISTICS AND PROBABILITY

RUTHERFORD HIGH SCHOOL Rutherford, New Jersey COURSE OUTLINE STATISTICS AND PROBABILITY I. INTRODUCTION According to the Common Core Standards (2010), Decisions or predictions are often based on data numbers

### Unit 1: Place value and operations with whole numbers and decimals

Unit 1: Place value and operations with whole numbers and decimals Content Area: Mathematics Course(s): Generic Course Time Period: 1st Marking Period Length: 10 Weeks Status: Published Unit Overview Students

### Measurement with Ratios

Grade 6 Mathematics, Quarter 2, Unit 2.1 Measurement with Ratios Overview Number of instructional days: 15 (1 day = 45 minutes) Content to be learned Use ratio reasoning to solve real-world and mathematical

### Controlled Science Investigation NCATE Competency Assessment for SCE 4350 Indicator 8.1 and 8.2

Controlled Science Investigation NCATE Competency Assessment for SCE 4350 Indicator 8.1 and 8.2 The following guide provides steps for helping students learn how to 1) plan and conduct a simple investigation

### Provided by TryEngineering -

Provided by TryEngineering - Lesson Focus Lesson focuses on engineering package designs that meet the needs of safely shipping a product. Students work in teams of "engineers" to design a package using

### Modules for Essential Skills for the Trades

Literacy Link Eastern Ontario (LLEO) has reviewed and endeavoured to identify all relative OALCF competencies for each of the activities within the Essential Skills for the Trades curriculum. For each

### Simple Pendulum 10/10

Physical Science 101 Simple Pendulum 10/10 Name Partner s Name Purpose In this lab you will study the motion of a simple pendulum. A simple pendulum is a pendulum that has a small amplitude of swing, i.e.,

### Year 6 Mathematics - Student Portfolio Summary

Year 6 - Student Portfolio Summary WORK SAMPLE PORTFOLIOS These work sample portfolios have been designed to illustrate satisfactory achievement in the relevant aspects of the achievement standard. The

### Lesson Description. Texas Essential Knowledge and Skills (Target standards) Skills (Prerequisite standards) National Standards (Supporting standards)

Lesson Description This lesson focuses on comparing simple interest and compound interest. Students discover the differences between simple and compound interest by creating a year chart using both methods.

### Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### PA Common Core Standards Standards for Mathematical Practice Grade Level Emphasis*

Habits of Mind of a Productive Thinker Make sense of problems and persevere in solving them. Attend to precision. PA Common Core Standards The Pennsylvania Common Core Standards cannot be viewed and addressed

### Analyzing Experimental Data

Analyzing Experimental Data The information in this chapter is a short summary of some topics that are covered in depth in the book Students and Research written by Cothron, Giese, and Rezba. See the end

### THE CONSERVATION OF ENERGY - PENDULUM -

THE CONSERVATION OF ENERGY - PENDULUM - Introduction The purpose of this experiment is to measure the potential energy and the kinetic energy of a mechanical system and to quantitatively compare the two

### Round Rock ISD Lesson 1 Grade 3 Measurement Kit. Broken Rulers and Line It Up!* - A Length Measurement Lesson

Round Rock ISD 2008-09 Lesson 1 Grade 3 Measurement Kit Broken Rulers and Line It Up!* - A Length Measurement Lesson tech *Lesson is adapted from two activities in Sizing Up Measurement: Activities for

### High Flying Balloons

Second Grade Science Design Brief High Flying Balloons Background: In our study of science we have been investigating the three stages of matter: solids, liquids and gases. You will use your knowledge

### Area and Perimeter: The Mysterious Connection TEACHER EDITION

Area and Perimeter: The Mysterious Connection TEACHER EDITION (TC-0) In these problems you will be working on understanding the relationship between area and perimeter. Pay special attention to any patterns

### Math at Work: Careers Teacher s Guide

Teacher s Guide Grade Level: 9 12 Curriculum Focus: Math Lesson Duration: 2 3 class periods Program Description Math at Work: Careers From architecture and artistry to skateboarding and soccer, take students

### Rubber Band Race Car

Rubber Band Race Car Physical Science Unit Using LEGO Mindstorms NXT Copyright 2009 by Technically Learning 1 of 17 Overview: Through a series of hands-on activities, students will design a rubber band

### Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

### Pendulum Investigations. Level A Investigations. Level B Investigations

Pendulum Investigations Level A Investigations The Pendulum How can you change the period of a pendulum? Students are introduced to the vocabulary used to describe harmonic motion: cycle, period, and amplitude.

### What Is Singapore Math?

What Is Singapore Math? You may be wondering what Singapore Math is all about, and with good reason. This is a totally new kind of math for you and your child. What you may not know is that Singapore has

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Solving Systems of Linear Equations Elimination (Addition)

Solving Systems of Linear Equations Elimination (Addition) Outcome (lesson objective) Students will accurately solve systems of equations using elimination/addition method. Student/Class Goal Students

3 rd Grade Mathematics Unit #3 : Relating Area to Multiplication and Division Pacing: 29 Days Unit Overview In this unit, students extend their understanding of multiplication and division (Unit 2) by

### REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.

### 4 Mathematics Curriculum

New York State Common Core 4 Mathematics Curriculum G R A D E GRADE 4 MODULE 1 Topic F Addition and Subtraction Word Problems 4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4 Focus Standard: 4.OA.3 Solve multistep word

### Measuring with a Ruler

Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

### Assignments and Activities Topic 8: Explicit Instruction

Activity 8.1: Identifying Explicit Instruction Assignments and Activities Topic 8: Explicit Instruction Learning Outcomes Learning Outcome 1: Explain the similarities, differences, and benefits of explicit

### Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Math, Grades 1-3 TEKS and TAKS Alignment

111.13. Mathematics, Grade 1. 111.14. Mathematics, Grade 2. 111.15. Mathematics, Grade 3. (a) Introduction. (1) Within a well-balanced mathematics curriculum, the primary focal points are adding and subtracting

### OLYMPIC GAMES CAN YOU MEASURE UP?

OLYMPIC GAMES CAN YOU MEASURE UP? Grade Level or Special Area: Second Grade Physical Education/Math Written by: Alice Sappington, Will Rogers Elementary, Hobbs, NM, Catherine Emery, Will Rogers Elementary,

### Unit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.

Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

### Year 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on.

Year 1 Add with numbers up to 20 Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. +1 +1 +1 Children should: Have access to a wide

### Pushes and Pulls. TCAPS Created June 2010 by J. McCain

Pushes and Pulls K i n d e r g a r t e n S c i e n c e TCAPS Created June 2010 by J. McCain Table of Contents Science GLCEs incorporated in this Unit............... 2-3 Materials List.......................................

### Grade 2. M4: and M:5 Addition and Subtraction of Numbers to 1000. M3: Place Value, Counting, and Comparison of Numbers to 1000

Grade 2 Key Areas of Focus for Grades K-2: Addition and subtraction-concepts, skills and problem solving Expected Fluency: Add and Subtract within 20 Add and Subtract within 100 Module M1: Mastery of Sums