Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 1 Measurement - Time Essential Content/ Essential Questions 1. Tell time on an analog clock to the minute. Time Line: BIG Ideas: Telling time will enable students to function in society Performance Objectives Determine time on an analog clock to the nearest minute. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will use a picture of an analog clock and write the correct time (to the nearest minute) underneath Teacher Resources Standards Manipulative clocks CCC Textbook Calendar Math Worksheets 2.1.3.A 2.3.3.D M3.B.1.1.1 . Manipulative clocks CCC Textbook Calendar Math Worksheets 2.1.3.C M3.B.1.1.1 Use time flashcards for practice 2.1.3.C M3.B.1.1.1 PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Students will look at large manipulative analog clock and say the accurate time to the nearest minute. 2. Transfer digital time to analog time 3. Transfer analog time to digital time. Draw hands on an analog clock to match a given digital time Write a digital time to match a given analog time FORMAL ASSESSMENT via WRITTEN TESTS: Students will refer to a picture of a digital clock and draw the hands on an analog clock to accurately represent the given time. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Students will make an individual manipulative analog clock's hands match a given digital time. FORMAL ASSESSMENT via WRITTEN TESTS: Students will refer to a picture of an analog clock and write the time that it shows in digital form. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Students will use a given time on an analog clock and say the digital time out loud. Manipulative clocks CCC Textbook Calendar Math Worksheets Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 1 Measurement - Time Essential Content/ Essential Questions 4. Identify whether a given activity would take place in AM or PM 5. Determine and compare elapsed time. Time Line: BIG Ideas: Telling time will enable students to function in society Performance Objectives Classify different activities as AM or PM activities. Calculate elapsed time, given a start time and a finish time. Given a time, determine what time it will be in 15 minutes, or 20 minutes, etc. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Looking at situational pictures, students will label AM or PM under each according to the time of day in which it would take place. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Orally, the teacher will say a certain activity and the students will holdup an AM or PM card to represent when the activity would take place. FORMAL ASSESSMENT via WRITTEN TESTS: Given a picture of an analog clock, students will accurately draw where the hands would be after a given elapsed time has passed (in a second clock underneath the first). PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Using individual manipulative analog clocks, all students will position hands to the accurate start time (designated by the teacher) and after listening to teacher instruction, will determine what the time would be after a given amount of time has elapsed. (Ex. 5:00-what time will it be in 20 minutes?) Teacher Resources Use daily schedule to help distinguish between AM and PM Standards 2.3.3.E 2.3.3.A M3.B.1.1.3 Textbook Practice sheets Picture cards/situational flashcards CCC Textbook Calendar Math Worksheets Manipulatives Use manipulative clocks to move hands to find elapsed time 2.3.3.C 2.11.3.B M3.B.1.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 2 Measurement - Money Time Line: BIG Ideas: Telling time will enable students to function in society Essential Content/ Essential Questions 1. Identify penny, nickel, dime, quarter, half dollar, and all paper notes (both sides of coins should be identifiable.) Performance Objectives Assessment Students will label value of all coins given pictures of each (penny, dime, nickel, quarter, half dollar). Students should recognize both sides of each coin. FORMAL ASSESSMENT via WRITTEN TESTS: Upon looking at a picture of coins and paper bills, student will label each picture with its proper name. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: After showing various coins and paper bills, students will verbally identify the money by saying its name. 2. Be able to state the value of a penny, nickel, dime, quarter, and half dollar. Students will match coins with their values FORMAL ASSESSMENT via WRITTEN TESTS: Given a picture of a coin, (penny, nickel, dime, quarter, half dollar) students will write the value of each using a cent sign. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Orally, students will be able to tell the value of a penny, nickel, dime, quarter, and half dollar. Teacher Resources Practice counting with play money CCC Textbook Worksheets Calendar Math CCC Textbook Worksheets Calendar Math Play "Don't Break The Bank" (money game using a given wallet amount using subtraction after various items are purchased with chance determining whether they will have enough $ to buy the item.) Standards 2.1.3.A 2.1.3.B 2.1.3.G M3.A.1 2.1.3.B 2.11.3.A M3.A.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 2 Measurement - Money Time Line: BIG Ideas: Telling time will enable students to function in society Essential Content/ Essential Questions 3. Calculate amount of money given different combinations of coins and paper money Performance Objectives Students will determine value of different combinations of money both orally and written. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given pictures of various combinations of money, students will calculate the total value and write the total next to each collection of money. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Using chalkboard illustrations, manipulatives or even a felt board, students will calculate total amount of money the teacher places on one of the above mediums and verbally express this amount 4. Create amounts of money using the smallest # of coins possible. Practice making amounts of money using the smallest number of coins possible. FORMAL ASSESSMENT via WRITTEN TESTS: Given a certain amount of money, students will write or draw the coins needed to make this amount using the smallest number of coins possible. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Using manipulative money, students will group coins to make a given amount using the smallest number of coins possible. Teacher Resources Use money stamps to give students practice counting various combinations of coins. Practice counting with play money. Standards 2.1.3.C 2.1.3.E 2.1.3.G M3.A.1.3.1 Worksheets Calendar Math CCC Textbook Worksheets Calendar Math Worksheets Calendar Math CCC Textbook Worksheets Calendar Math 2.1.3.C 2.1.3.E M3.A.1.3.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 2 Measurement - Money Time Line: BIG Ideas: Telling time will enable students to function in society Essential Content/ Essential Questions 5. Calculate changedetermine how much should be given and what coins you'd use to make that amount. Performance Objectives Calculate change when paying with a larger amount of money than the cost requires. Assessment Teacher Resources FORMAL ASSESSMENT via WRITTEN TESTS: Solve money word problems accurately determining change and the coins that would be used to create this amount. Students will practice using Everyday Counts with the classroom calendar program, as well as using CCC daily. PERFORMANCE ASSESSMENT via TEACHER OBSERVATIONS: Individually, the student will use manipulative money to make change when the teacher pays a make believe bill with money over the needed amount, using the smallest number of coins possible. Play store, buying various items with price tags to practice giving change Money Bingo Standards 2.1.3.E M3.A.1.3.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 3 Measurement – Linear (Metric & Customary) Time Line: BIG Ideas: Learning probability and prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 1. Students will demonstrate proper usage of rulers to measure objects to the nearest centimeter and the nearest inch Performance Objectives 1. Students will use a ruler to measure given objects to the nearest cm or the nearest inch Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will use rulers to measure given pictures on paper. They will be required to measure to the nearest centimeter and the nearest inch. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will manipulate rulers to measure various objects to the nearest inch or centimeter and then verbally report their findings 2. Students will conclude which unit is appropriate to measure various objects (cm, dm, m, km, in, ft, yd, mi) 2. Students will determine the best unit to measure various distances (for instance: hallway, length of pencil, length of sneaker, etc.) FORMAL ASSESSMENT via WRITTEN TESTS: Students will choose the most appropriate unit of measure to measure the length of given objects and will write this unit of measure and will also explain why they selected this unit of measure. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: When the teacher holds up or points out various objects, the student will orally name the most appropriate unit to measure its length. Teacher Resources Activities/Strategies Use rulers to measure various objects found in the classroom. Rulers Meter stick CCC Textbook Calendar Math Worksheets Students will follow verbal directions to draw lines of various lengths with the aid of rulers. CCC Textbook Calendar Math Worksheets Standards 2.3.3.B 2.11.3.C M3.B.1.2.1 M3.B.2.1.1 2.3.3.E M3.B.1.2.1 M3.A.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 3 Measurement – Linear (Metric & Customary) Time Line: BIG Ideas: Learning probability and prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 3. Student will recognize cm as the abbreviation for centimeter, in as the abbreviation for inch, etc. 4. Students will make basic estimations when dealing with objects familiar to students (ex. Math book, pencil, classroom door, etc.) Performance Objectives 3. Students will match units of measurement with their correct abbreviations using cards in a pocket chart. 4. Pick the best estimate for various well known objects. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will be given a paper with 2 columns, 1 column with abbreviations & 1 column of units of length in word form. They will need to correctly match the abbreviation to its word form. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: When the teacher says a unit for measuring length aloud, students will write its abbreviation on slates or paper. FORMAL ASSESSMENT via WRITTEN TESTS: Given a lot of objects, students will choose the best estimate for the length of each object by circling their measurement selection. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Teacher Resources Activities/Strategies Standards CCC Textbook Calendar Math Worksheets 2.3.3.E M3.B.1.2.1 Compare standard unit of measurement to nonstandard unit of measurement (measuring the width of the room in yards vs. measuring it in “steps” or “sneakers”). CCC Textbook Calendar Math Worksheets 2.3.3.A 2.3.3.E 2.3.3.G M3.A.3 M3.B.2.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 3 Measurement – Linear (Metric & Customary) Time Line: BIG Ideas: Learning probability and prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 5. Students will compare lengths and determine which is longer. (Students must know centimeters are smaller than meters, etc.) Performance Objectives Order given measurements in order from smallest to largest or vice versa. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will sequence the units for measuring length in order from smallest to largest PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will verbally sequence the units of linear measurement (metric & customary) in order from smallest to largest) Teacher Resources Activities/Strategies Student will find various items that measure a given length Students can measure the length / width of the classroom using a yardstick. They will then convert this measurement to feet and later to inches. CCC Textbook Calendar Math Worksheets Standards 2.3.3.A 2.3.3.G 2.11.3.A M3.A.3 M3.B.1.2.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 4 Measurement - Capacity Time Line: BIG Ideas Students will be able to measure and compare volumes so they can apply their knowledge to standard units of measurement. Essential Content/ Essential Questions 1. Students will be able to measure capacity in metric and customary units. (liter, milliliter, cup, pint, quart, gallon) 2. Students will be responsible for the following math vocabulary and their definitions: liter, milliliter, cup, pint, quart, and gallon. Performance Objectives Assessment Students will find containers in real life that use customary and metric units to measure their volume. (Ex. Milk jugs, soda bottles, cans, etc.) FORMAL ASSESSMENT via WRITTEN TESTS: 1. Given an object, students will tell how much liquid is inside Students will state various real life liquids that they would measure in the different units for capacity. (ex: water in a bath tub, can of soup, gas in a gas tank, water in a swimming pool, etc.) 2. When given a paper with 2 columns (1 of abbreviations and 1 of units of measuring capacity), students will correctly match each abbreviation to its unit of measure. Students will correctly match the units of capacity with their abbreviations using pocket chart cards. Teacher Resources/Activities/ Strategies Practice worksheets Textbook CCC Calendar Math Various size jars and containers to practice visualizing units of capacity measurement Various size jars and containers to practice visualizing units of capacity measurement Practice worksheets Textbook CCC Calendar Math Standards 2.3.3.B 2.4.3.A M3.B.1.2.1 2.3.3.A 2.3.3.B 2.4.3.B M3.B.1.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 4 Measurement - Capacity Time Line: BIG Ideas Students will be able to measure and compare volumes so they can apply their knowledge to standard units of measurement. Essential Content/ Essential Questions 3. Student will be able to select reasonable units to measure liquid in varying capacities. (i.e. ML or pint for small amounts) Performance Objectives Assessment Students will state various real life things they would use pt. To measure, qt., gallon, ML, and liter to measure Students will create a list of objects that would hold amounts best measured by pt., qt., gallon, ML, and L PERFORMANCE ASSESSMENTS When shown an object, student will verbally express a reasonable estimate for its length or width. 4. Students will identify abbreviations for units of measuring capacity (pt, qt, gal, ML, L) Students will label all of their measurements with the appropriate abbreviation for each unit they use When given z paper with 2 columns, (1 of abbreviations the other of units of capacity) students will correctly match each abbreviation to its word form) PERFORMANCE ASSESSMENTS Pocket Chart Activity- students will match abbreviation of unit of length to its word form correctly 5. Students will correctly select the best estimate for various containers of liquid from a choice of answers Students will correctly look at various containers and choose a reasonable estimate from a choice of 3 Given a picture of containers (buckets, teacups, bathtubs, milk jugs, etc.) students will select the best estimate for measuring its capacity from a list of 3. Teacher Resources/Activities/ Strategies Practice capacity measurement through the use of Everyday Counts – the classroom calendar math program Practice worksheets Textbook CCC Standards 2.3.3.G 2.4.3.B M3.A.3 M3.B.1.2.1 Various size jars and containers to practice visualizing units of capacity measurement Practice worksheets Textbook CCC Calendar Math 2.3.3.E M3.B.1.2.1 Various size jars and containers to practice visualizing units of capacity measurement Practice worksheets Textbook CCC Calendar Math 2.3.3.G 2.4.3.A M3.A.3 M3.B.1.2.1 M3.B.2.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math / 3 Unit: 5 Measurement – Weight & Temperature (Metric & Customary) Time Line: BIG Ideas Students will be able to measure and compare objects so they can apply their knowledge to standard unit of Teacher Essential Content/ Performance Objectives Assessment Resources/Activities Essential Questions /Strategies 1. Students will identify boiling 1. Students will color in a FORMAL ASSESSMENT via Kitchen scales and thermometers temperature and freezing thermometer to show the boiling WRITTEN TESTS: temperature on a Celsius and temperature and freezing 1. Students will be given 2 Calendar Math a Fahrenheit thermometer. temperature in degrees in Celsius thermometers drawn on paper and CCC and Fahrenheit. they will have to mark the boiling Textbook temperature and freezing Practice sheets temperature on both – one will be degrees in Fahrenheit and the other will be degrees Celsius. 2. Students will know that a 2. Students will show the degree 2. Students will be required to have Kitchen scales and thermometers small circle denotes the label symbol on all class work when the degree symbol written with all of degrees for all writing temperatures. measurements of temperature on measurements of their quizzes/tests. temperature. 3. Students will know the 3. Students will use the correct 3. Students will be required to label Various real life classroom objects following abbreviations or the abbreviation for their units of all weights with the correct to explore weight various units of measurement: measurement when writing abbreviations on their tests/quizzes. Calendar Math kg, g, mg, lb., and oz. weights. CCC Textbook Practice sheets 4. Students will know to select 4. Students will practice matching 4. Students will generate a list of 5 Calendar Math kg & lb to measure objects of the units of weight with the objects best weighted using each of CCC a heavier weight and mg, g, & abbreviations using cards in a the following units: (g, kg, oz, lb) Textbook oz to measure objects of a pocket chart. Various real life classroom objects smaller weight. to explore weight measure. Standards 2.3.3.A M3.B.2 M3.B.1.2.1 2.3.3.A M3.B.2 M3.B.2 M3.B.1.2.1 2.3.3.B 2.3.3.E 2.3.3.H M3.A.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math / 3 Unit: 5 Measurement – Weight & Temperature (Metric & Customary) Time Line: BIG Ideas Students will be able to measure and compare objects so they can apply their knowledge to standard unit of Teacher Essential Content/ Performance Objectives Assessment Resources/Activities Essential Questions /Strategies 5. Students will correctly Students will state various real life Given a circumstance (ex: a spring Calendar Math select the best estimate for objects they would use kg. to day) students will select the CCC various objects measuring measure, g. to measure, and oz. appropriate estimated temperature Textbook weight and situations / to measure as well. They will also in Celsius or Fahrenheit from a Various real life classroom objects circumstances regarding select the best estimate of choice of 3 to explore weight temperature temperature for things like a winter day, a summer day, etc. measure. Standards 2.3.3.B 2.3.3.E 2.3.3.G 2.4.3.A 2.4.3.B M3.A.3 M3.B.1.2.2 M3.B.2.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 1. Students will accurately add large numbers when regrouping is necessary (regrouping ones, tens, and hundreds). Performance Objectives 1. Students will complete practice problems on paper/chalkboard/slates where regrouping is necessary (regrouping in ones, tens, or hundreds). Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will accurately complete written addition problems when regrouping is necessary. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: Using base 10 blocks, students will construct a visual picture representation of an addition problem written on the chalkboard. Then students will "make trades" to demonstrate the process of carrying and will determine the correct answer to the problem. Teacher Resource/ Activities/Strategies Flashcard games to reinforce basic facts. Grocery list activity-use sales flyers, shop for various items, add to find total cost. This could be used with rounding too to estimate total before doing the addition. Use 2 die to roll a 2 digit #, rolling twice each-add the resulting #'s. Extend grocery list activity-use coupons for various items, find the cost after the discount using subtraction with regrouping. Use 2 dice to roll a 2 digit #, rolling twice each subtract the smaller # from the greater #. Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.I 2.1.3.L 2.2.3.A 2.2.3.B 2.2.3.G 2.5.3.C M3.A.3.1.1 M3.A.1.1.5 M3.A.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 2. Students will recite basic number facts (sums to 20). 3. Students will recognize fact families and produce equations using the numbers of each fact family. Performance Objectives Assessment 2. Students will say answers to various flashcard problems when they are shown them. FORMAL ASSESSMENT via WRITTEN TESTS: Students will use mental math/memorization skills to recall answers to basic number facts (sums to 20) by writing the sum on tablet paper as the teacher presents flashcards to the class. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: In class, students will demonstrate the memorization of basic number facts (sums to 20) by playing elimination or around the world with flashcards. FORMAL ASSESSMENT via WRITTEN TESTS: When given a group of 3 numbers, students will construct as many number sentences as possible to demonstrate their knowledge of facts families. 3. Practice with fact families and writing equations for each fact family PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: Using double sided counters (each side a different color) students will construct fact families for a given number. They will also write each number sentence on paper. (Ex. Total number of chips 5, 3 are flipped to red side and 2 are flipped to gold side). Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.A 2.2.3.A M3.A.1.1 M3.A.3.1.1 2.1.3.A 2.1.3.K 2.1.3.L M3.A.1 M3.A.2.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 4. Students will estimate sums by using front end estimation. Performance Objectives 4. Students will estimate answers by front end estimation (adding only the front digits of a #). Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a sheet with 2 or 3 digit addition problems using front end estimation (adding only the 1st digits) to find an approximate answer. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: Using play money, students will draw 2 item flashcards out of a bucket. Each flashcard will picture the item and its price. After drawing 2 cards, students will use front end estimation (adding only the first digit) to determine an approximation of their bill and play accordingly with their money. Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.A 2.1.3.J 2.2.3.E M3.A.1 M3.A.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 5. Students will utilize rounding rules to find estimated answers to addition problems. Performance Objectives 5. Students will be familiar with the rounding rule in order to estimate answers by rounding. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a list of 10 double-digit addition problems, students will solve these problems using rounding. They should round each addend. Then solve by adding these rounded addends. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: The teacher will put a double-digit addition problem on the chalkboard. Students will each have 2 arrow cards (up arrow & down arrow). They will hold up the appropriate arrow to help determine if the 1st addend should be rounded up or stay where it is using the rounding rule. (5 or higher=up, 4 or lower=stay)They will use arrow cards for both addends and then will orally add the rounded addends to find an estimated answer. Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.J 2.2.3.E M3.A.1 M3.A.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 6. Students will find differences by subtracting with regrouping (regrouping ones, tens, hundreds, more than once, and across a zero). Performance Objectives Assessment 6. Students will complete practice subtraction problems on paper/chalkboard/slates where regrouping is necessary. (regrouping in the ones, tens, or hundreds) FORMAL ASSESSMENT via WRITTEN TESTS: Students will correctly solve written subtraction problems where regrouping is necessary. Students will correctly regroup from ones, tens, and or hundreds columns and will also be able to correctly borrow across a zero. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: Using base 10 blocks, students will construct an accurate pictorial representation of a given subtraction problem. Students will be able to calculate where regrouping will need to occur in order to solve the subtraction problem. Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.I 2.1.3.L 2.2.3.A 2.2.3.B 2.2.3.G 2.5.3.C M3.A.3.1.1 M3.A.3.1.3 M3.A.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 7. Students will recite basic subtraction facts (differences to 18). 8. Students will check addition problems using subtraction. Performance Objectives Assessment 7. Students will say the answer to various basic subtraction facts when shown flashcards. FORMAL ASSESSMENT via WRITTEN TESTS: Students will use mental math/memorization skills to recall answers to basic number facts (differences to (8) by writing the difference on tablet paper as the teacher presents flashcards to the class. 8. Students will construct and complete a subtraction problem to check the answers they gave for various addition problems and vice versa. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: In class, students will demonstrate the memorization of basic number facts (differences to 18) by playing Elimination or Around the World with flashcards. FORMAL ASSESSMENT via WRITTEN TESTS: Students will employ accurate self checking of their addition problems by using subtraction PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: Students will be given a grid of squares. Each square containing an addition problem and answer. Students will use a calculator to check each answer by subtraction. They will color the squares that have the correct answer. They will not color the ones that are incorrect, instead they will cross out the wrong answer and write the correct one next to it. Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.A 2.1.3.L 2.2.3.A M3.A.3.1.1 M3.A.1.1 2.1.3.K 2.1.3.L 2.2.3.F M3.A.2.1.2 M3.A.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 6 – Number Concepts – Addition w/ regrouping; subtraction w/ regrouping Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 9. Students will estimate differences by rounding. 10. Student will know after reading story problems which operation is needed to solve the given problem Performance Objectives Assessment 9. Students will be familiar with the rounding rules in order to estimate differences by rounding. FORMAL ASSESSMENT via WRITTEN TESTS: Given a list of ten double-digit subtraction problems, students will solve these problems using rounding. They will accurately round each subtrahend then use these numbers to subtract to find the estimated difference. 10. Students will work with word problems to practice choosing the correct operation, exercising problem solving skills and accurate computation. PERFORMANCE ASSESSMENTS via TEACHER OBSERVATION: The teacher will put a double-digit addition problem on the chalkboard. Students will each have 2 arrow cards (up & down). They will hold up the appropriate arrow card to determine if the 1st subtrahend should be rounded up or rounded down using the rounding rule (5 or higher=up, 4 or lower=down). They will use arrow cards for both subtrahends and then will orally subtract to find the estimated differences. Teacher Resource/ Activities/Strategies Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Flashcards CCC Calendar Math Worksheets Chalkboard practice Base 10 blocks Textbook Standards 2.1.3.J 2.2.3.E M3.A.3 M3.A.1 2.1.3.L 2.2.3.A 2.2.3.F 2.2.3.G 2.5.3.A 2.5.3.B 2.5.3.C 2.8.3.D 2.11.3.C M3.A.2.1.3 M3.D.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 7 Geometry Time Line: BIG IDEA: The students will be able to utilize geometric concepts to function in everyday life. Essential Content/ Essential Questions 1. Students will be able to identify open & closed figures. Performance Objectives 1. Label open & closed shapes as a possible lead into an extension into perimeter. (ext.) Assessment FORMAL ASSESSMENT via WRITTEN TESTS: 1. Looking at various figures on a paper, students will label each one by identifying whether it is an open or closed figure. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Using various lengths of yarn, students will create open and closed figures on their desks. Teacher Resources /Activities/Strategies Daily practice with the utilization of Everyday Counts, the classroom calendar math program Label open & closed figures. Make drawings-see how many right angles you can put in your drawings. Find real life examples of right <s. Worksheets Pattern blocks Standards 2.9.3.D 2.9.3.E 2.9.3.F M3.C.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 7 Geometry Time Line: BIG IDEA: The students will be able to utilize geometric concepts to function in everyday life. Essential Content/ Essential Questions 2. Discriminate between line segments & rays. Performance Objectives 2. Usage of geometrical language-symmetry, line segments, rays. Distinguish line segments versus rays by labeling. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will write a few sentences explaining the difference between a line segment and a ray. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Students will be given a sheet of paper with a line dividing it in half horizontally. Students will create a drawing in the top portion of the paper incorporating at least 4 line Label segments & rays. Each line segment should be retraced with a highlighter to make them easier to view. On the bottom portion of the paper, students will create a drawing incorporating 4 rays. Each ray should be retraced with highlighter to make it easier to view. Teacher Resources /Activities/Strategies Daily practice from daily sessions on the computer with CCC Overhead Textbook Practice sheets Standards 2.10.3.A Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 7 Geometry Time Line: BIG IDEA: The students will be able to utilize geometric concepts to function in everyday life. Essential Content/ Essential Questions 3. Establish location of line of symmetry. Performance Objectives 3. Draw lines of symmetry for given figures. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper of various picture/shapes, students will use a crayon and a ruler to draw the line of symmetry for each. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Teacher Resources /Activities/Strategies Identify symmetrical shapes in real life. (butterflies) Create a symmetrical missing half to a picture (faces, magazine pictures). Create a symmetrical drawing (butterfly, snowflakes, etc.) Symmetrical bulletin boardchildren display any symmetrical pictures they have found & tack yarn through as line of symmetry. Identify symmetrical shapes. Draw line of symmetry in the proper location. Magazines to find pictures showing symmetry Standards 2.9.3.E 2.9.3.F 2.9.3.G 2.9.3.H M3.C.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 7 Geometry Time Line: BIG IDEA: The students will be able to utilize geometric concepts to function in everyday life. Essential Content/ Essential Questions 4. Calculate perimeter & area of geometrical shapes. Performance Objectives 4. Students will use grid paper and they will find the area in square units of various drawn figures. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a sheet of graph paper, students will be asked to create a shape with a given perimeter (ex: a perimeter of 36) Students will be given a piece of graph paper with pictures of 5 different houses. They will be asked to compare the 5 houses and determine which 2 have the same area. 5. Students will be able to recognize right angles 5. Discuss right angles. Introduce right angles to the class. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: FORMAL ASSESSMENT via WRITTEN TESTS: Students will label green angles as greater than, less than or equal to right angles INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Teacher Resources /Activities/Strategies Daily practice from daily sessions on the computer with CCC Standards 2.3.3.F M3.B.2.1.2 Overhead Textbook Practice sheets Daily practice from daily sessions on the computer with CCC Overhead Textbook Practice sheets 2.10.3.A 2.10.3.B M3.C.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 7 Geometry Time Line: BIG IDEA: The students will be able to utilize geometric concepts to function in everyday life. Essential Content/ Essential Questions 6. Students will know the following 2 dimensional and 3 dimensional shapes: hexagon, pentagon, trapezoid, sphere, cone, cylinder, cube, and rectangular prism. Performance Objectives Assessment 6. Find real life objects that are rep. of the above mentioned 3D shapes. FORMAL ASSESSMENT via WRITTEN TESTS: When the teacher presents a 3D wooden shape block, the students will write its name on paper. Identify various 3D shapes cube, pyramid & cone. Given a paper containing a detailed drawing/picture, students will use the supplied color code to locate and color all of the various 2D shapes. Then they will write the name of each shape at the bottom. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Using wooden 3D shape blocks, students will match each block with its appropriate name card (cube, cone, pyramid, prism, oval, sphere, cylinder, rectangular prism). Students will identify 1 real life object that represents each of the following 2D shapes (triangle, square, rectangle, octagon, oval, etc.) Teacher Resources /Activities/Strategies Daily practice from daily sessions on the computer with CCC Overhead Textbook Practice sheets Standards 2.9.3.A 2.9.3.B 2.9.3.C 2.9.3.D 2.9.3.H 2.9.3.I M3.C.1.1.1 M3.C.1.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 1. Students will memorize times table facts from the 0 table to the 9's table (ext = to the 12 table) Performance Objectives 1. Students will practice with skill sheets and flashcards. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: 1. Students will score 75% or higher on various timed multiplication quizzes. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Students will demonstrate memorization of the times tables (09) through classroom activities such as: chalkboard races, Elimination with flashcards, Around the World, and Multiplication Basketball. Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. CCC Textbook Calendar Math Standards 2.2.3.C 2.2.3.F 2.8.3.A 2.8.3.E 2.8.3.G 2.11.3.A 2.11.3.D M3.A.2 M3.A.3.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 2. Students will be able to identify missing factors in multiplication equations. Performance Objectives 2. Students will find missing factors in multiplication equations. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: 2. Given a paper with missing factors in the multiplication equations, students will supply the missing factors. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Students will use manipulatives to represent cookies and each will have a large piece construction paper to represent the cookie sheet. Students will be asked to arrange cookies on sheet in equal rows. Teacher will give directions such as: Bake 36 cookies put 4 cookies going across your sheet. How many rows will you need to make 36? The students will complete each task. Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. Standards 2.1.3.A 2.1.3.L 2.2.3.C 2.2.3.D 2.2.3.F 2.5.3.A 2.5.3.B 2.5.3.C 2.8.3.B 2.8.3.C 2.8.3.E M3.A.3.1.2 M3.D.1.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 3. Students will utilize skip counting to obtain multiplication answers when necessary. Performance Objectives 3. Students will write an addition problem to show how repeated addition relates to multiplication. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: 3. Students will write an explanation to the following: If Tim knew that 4x5=20, how could he find out the answer to 4x7? INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. Standards 2.1.3.A 2.1.3.F 2.2.3.C 2.2.3.F 2.5.3.A 2.5.3.C 2.8.3.A 2.8.3.E M3.A.2.1.1 M3.D.1.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 4. Students will recognize division as the inverse of multiplication and will know to use times tables to check division answers. Performance Objectives 4. Students will use multiplication to check answers to division problems, vice versa. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: 4. Students will use division to correct a paper containing multiplication equations. Students will write multiplication equations under given division equations to verify answers. INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Given a multiplication flashcard, students will use their x flashcard to write a division problem that would verify their answer on the chalkboard. Children will use manipulatives to solve oral word problems that the teacher proposes. They will check answers using multiplication. Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. Standards 2.1.3.L 2.2.3.D 2.2.3.F 2.5.3.A 2.5.3.C 2.8.3.E M3.A.3.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 5. Students will be able to look at a hundred grid and fill in the products of all factors Performance Objectives Assessment 5. Students will recognize patterns of the answers in each multiplication table. INFORMAL ASSESSMENT Students will be given an empty 100 grid with digits 1-10 written across and down the sides and PERFORMANCE ASSESSMENT Students will roll 2 dice, multiply the factors, and place the products in the appropriate location on a grid. Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. Standards 2.8.3.D M3.A.2.1 M3.A.3.1.2 M3.D.1.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 8 Number Concepts – Operations (Multiplication & Division) Time Line: BIG Ideas Daily life skills are dependent upon choosing correct operations and accurately calculating the answers. Essential Content/ Essential Questions 6. Students will be able to write story problems to illustrate given multiplication or division problems. Performance Objectives 6. Students will create pictures to show a multiplication equation. Assessment INFORMAL ASSESSMENT via TEACHER OBSERVATIONS: Students will be given a fact family and will be assigned to write one multiplication story problem and one division story problem to match the fact family. PERFORMANCE ASSESSMENT Student will use props to act out given multiplication or division problems. Teacher Resources /Activities/Strategies Multiplication Skill Sheets Multiplication Rap Tape Use dice to roll a multiplication problem, solve. Multiplication and division floor puzzles. Flashcard games (Elimination, Around the World) Board Races Worksheet Races Use manipulatives to demonstrate multiplication problems and division problems. Act out multiplication and division word problems using props to understand the multiplication and division process. Standards 2.8.3.D M3.A.2.1.3 M3.D.2.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 9 Number Concepts – Operations (Place Value and Writing Numerals) Time Line: BIG Ideas Understanding our base 10 system will enable students to function in a standards or metric world. Essential Content/ Essential Questions 1. Students will name all number columns from the ones to the ten thousands. Performance Objectives 1. Students will look at a 5 digit number and state which digit is in each column – ones, tens, hundreds, thousands, ten thousands. Students will look at a # and point to digits in the said column. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper with a 6 digit number written across the top, the student will label each column. INFORMAL ASSESSMENT via TEACHER OBSERVATION: Six masking tape X's should be placed in a line across the front of the classroom. Students will be given an index card and will be asked to write one digit on their card (0-9). Each student will get a turn to come up and draw a slip of paper to determine what place value they will represent (ones, tens, hundreds, thousands, ten thousands, or hundred thousands). They will then take their place on the according X. After each space is filled, class will orally read the number. Repeat until everyone has a turn. Teacher Resources /Activities/Strategies Daily practice through the utilization of the classroom calendar math program, Everyday Counts. Use base 10 blocks to work with regrouping 10s and 100s. Tic-Tac-Toe game-roll die-enter # into a block on the grid. Add the columns when filled-highest sum wins. Base 10 blocks for the overhead projector. Practice Sheets Trading Game-can trade 10 skittles for Hershey Kiss, 10 Hershey Kisses for pretzel rod. Later, relate to $-pennies, dimes, and dollars. Textbook Worksheet Students will receive daily practice through daily sessions on the computer using CCC. Standards 2.1.3.A M3.A.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 9 Number Concepts – Operations (Place Value and Writing Numerals) Time Line: BIG Ideas Understanding our base 10 system will enable students to function in a standards or metric world. Essential Content/ Essential Questions 2. Students will accurately write large #s in words after looking at them in numeral form or hearing large #s (when said aloud). Performance Objectives Assessment 2. Students will write a number in words when hearing it read aloud to them. In addition, students will read a number in words and then write it using numerals. FORMAL ASSESSMENT via WRITTEN TESTS: Students will be given a 6 digit number written in numeral form, they will write the same number using only words. INFORMAL ASSESSMENT via TEACHER OBSERVATION: Students will be given a sentence strip that has been cut into pieces. Each piece will have 1 word on it. A large number written in numeral form on an index card will be distributed along with the sentence strip. They will sequence the pieces of the sentence strip in order to match the number on the card. Teacher Resources /Activities/Strategies Students will receive daily practice through daily sessions on the computer using CCC. Practice Sheets Textbook Base 10 blocks for the overhead projector Daily practice through the utilization of the classroom calendar math program, Everyday Counts. Use base 10 blocks to work with regrouping 10s and 100s. Standards 2.1.3.J M3.A.1.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 9 Number Concepts – Operations (Place Value and Writing Numerals) Time Line: BIG Ideas Understanding our base 10 system will enable students to function in a standards or metric world. Essential Content/ Essential Questions 3. Students will compare large #s <, >, = Performance Objectives Assessment 3. Students will compare large 3s (up to ten thousands) and identify as <, >, or =. FORMAL ASSESSMENT via WRITTEN TESTS: Students will compare large numbers (up to 6 digits) by placing >, <, or = in between two large numbers. Students will sequence 5 large numbers in order smallest to largest. INFORMAL ASSESSMENT via TEACHER OBSERVATION: Given 6 pieces of paper, each with a different digit written on it, students will order them to make the largest number possible, then also create the smallest number possible. Teacher Resources /Activities/Strategies Daily practice through the utilization of the classroom calendar math program, Everyday Counts. Use base 10 blocks to work with regrouping 10s and 100s. Tic-Tac-Toe game-roll die-enter # into a block on the grid. Add the columns when filled-highest sum wins. Base 10 blocks for the overhead projector. Practice Sheets Trading Game-can trade 10 skittles for Hershey Kiss, 10 Hershey Kisses for pretzel rod. Later, relate to $-pennies, dimes, and dollars. Textbook Worksheet Standards 2.1.3.I 2.2.3.B 2.2.3.F 2.11.3.A 2.11.3.D M3.A.1.1.3 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 9 Number Concepts – Operations (Place Value and Writing Numerals) Time Line: BIG Ideas Understanding our base 10 system will enable students to function in a standards or metric world. Essential Content/ Essential Questions 4. Students will rename #s through regrouping tens and hundreds Performance Objectives 4. Students will make trades to show regrouping using Base 10 blocks. Students will complete skill sheets to practice regrouping. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will regroup to put numbers in simplest terms. A chart would be supplied with 3 columns: hundreds, tens, and ones. Each column would have a number in it. Students would be asked to regroup where necessary, (ex: 13 one - give the ten column 1 more group of ten and have 3 ones left). INFORMAL ASSESSMENT via TEACHER OBSERVATION: Students will use base 10 blocks to demonstrate an understanding of making trades or regrouping. (ex. 13 ones = 1 ten and 3 ones). Teacher Resources /Activities/Strategies Daily practice through the utilization of the classroom calendar math program, Everyday Counts. Use base 10 blocks to work with regrouping 10s and 100s. Tic-Tac-Toe game-roll die-enter # into a block on the grid. Add the columns when filled-highest sum wins. Base 10 blocks for the overhead projector. Practice Sheets Trading Game-can trade 10 skittles for Hershey Kiss, 10 Hershey Kisses for pretzel rod. Later, relate to $-pennies, dimes, and dollars. Textbook Worksheet Standards 2.1.3.J 2.2.3.B M3.A.1.1.5 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 9 Number Concepts – Operations (Place Value and Writing Numerals) Time Line: BIG Ideas Understanding our base 10 system will enable students to function in a standards or metric world. Essential Content/ Essential Questions 5. Students will use base 10 blocks to represent large #s accurately. Performance Objectives Assessment 5. Students will explore large #s by creating pictures of them with base to 10 blocks. FORMAL ASSESSMENT via WRITTEN TESTS: Given a picture of various base 10 blocks, students will write the number they are representing. INFORMAL ASSESSMENT via TEACHER OBSERVATION: Students will use base 10 blocks to make a pictorial representation of a number that was written on the chalkboard by the teacher. Teacher Resources /Activities/Strategies Daily practice through the utilization of the classroom calendar math program, Everyday Counts. Use base 10 blocks to work with regrouping 10s and 100s. Tic-Tac-Toe game-roll die-enter # into a block on the grid. Add the columns when filled-highest sum wins. Base 10 blocks for the overhead projector. Practice Sheets Trading Game-can trade 10 skittles for Hershey Kiss, 10 Hershey Kisses for pretzel rod. Later, relate to $-pennies, dimes, and dollars. Textbook Worksheet Standards 2.1.3.A 2.1.3.C 2.1.3.H 2.1.3.I 2.2.3.F 2.5.3.C M3.A.1.1.5 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 10 Number Concepts - Fractions Time Line: BIG Ideas: It is important for students to understand and use fractions to accurately complete daily tasks. Essential Content/ Essential Questions Students will explain the meaning of the term “equivalent” and will identify pictures and label pieces of a picture that are equivalent and those that are not. 2. Students will read and write parts of a set as fractions Performance Objectives Students will use pictures to determine if parts are equivalent Students will use pictures to write parts of a set as a fraction Assessment FORMAL ASSESSMENT: Student will write a few sentences explaining the meaning of the term “equivalent” Given a paper of shapes that have been divided into pieces, students will determine if the pieces are equivalent or not equivalent by writing so under each. PERFORMANCE ASSESSMENTS: Students will be given a square and will cut the square into 4 equivalent pieces to demonstrate their understanding of the term equivalent. Students will make a poster showing pictures that have been cut into equivalent parts and examples of items that have not been cut equivalently. FORMAL ASSESSMENT: Given a paper with a set of shapes at the top, students will write the representation of each shape (in the given set) in fraction form. PERFORMANCE ASSESSMENTS: Using a handful of double-sided counters, students will shake and toss onto their desks. They will then write the fraction of red and the fraction of gold counters. Given a hand full of Fruit Loops, students will write the fraction of each color. Teacher Resources Exploration of equivalent fractions through the use of fraction bars Textbook Standards 2.1.3.D 2.1.3.G M3.A.1.1 M3.A.1.2 CCC Worksheets Calendar Math Textbook CCC Worksheets Calendar Math 2.1.3.B 2.1.3.D 2.1.3.G M3.A.1.1 M3.A.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math 3 Unit: 10 Number Concepts - Fractions Time Line: BIG Ideas: It is important for students to understand and use fractions to accurately complete daily tasks. Essential Content/ Essential Questions 3. Students will find parts of a set (EX: find ½ of 10) 4. Compare fractions with pictures and numerical representations Performance Objectives Students will use pictures to fine parts of a set (1/2 of 6,, etc.) Students will use pictures to compare fractions Assessment Teacher Resources FORMAL ASSESSMENT: Students will complete a worksheet where they are asked to find fractional parts of a set (1/2 of 10, 1/3 of 12,…) Skill sheets PERFORMANCE ASSESSMENTS: Students will be given a paper containing sets. Students will then follow the teacher’s instructions to color various parts of each set. (EX: color ½ of the 1st set, 1/3 of the 2nd set, etc.) FORMAL ASSESSMENT: Given a paper with a pictorial representation of each fraction with the fraction with the fraction written numerically under it, students will place >, <, or = in between each comparison. Worksheets PERFORMANCE ASSESSMENTS: Each child will be given a slice of a paper pizza. The fraction it represents will be written on it. Students will be groups of 4. Together students will compare slices / fraction. They will construct 4 number sentences using >, <, or = that accurately express their fraction. Textbook CCC Standards 2.1.3.B 2.1.3.D 2.1.3.G M3.A.1.2.2 Calendar Math Daily practice through sessions of CCC on the computer Students will cut paper to represent various fractions that are written numerically Textbook CCC Worksheets Calendar Math 2.1.3.C 2.1.3.D 2.1.3.G M3.A.1.2.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 11 Number Concepts - Decimals Essential Content/ Essential Questions 1. Convert fraction to decimal using tenths (6/10 = .6) and convert fraction to decimal using hundredths (45/100 = . 45). Time Line: BIG Ideas It is important for students to understand and use decimals. Performance Objectives 1. Students will convert fractions to decimals using tenths and hundredths with the aid of pictures. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will look at a given picture (a part of 10) and will convert the fractional part to a decimal. Looking at a hundreds grid with a portion colored, students will transform this into a decimal. Students will also transform pictorial representations of tenths into the appropriate decimal. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will use fraction bars to help them determine a fraction for a decimal written on the chalkboard by the teacher (only tenths). Students will draw a picture representation of a decimal (tenths only) given by the teacher. When playing a class game or small group game of memory, students will accurately match decimals with the equivalent fraction. Teacher Resources Activities/Strategies CCC Chadwell Writing Activities to further explain decimals in relations to fractions. Use 100 grid to make pictures of various decimals and fractions. Fraction bars to demonstrate decimals as parts to a whole. Skill sheet practice Make drawings of decimals when comparing. Textbook Worksheets Standards 2.1.3.C 2.1.3.I 2.2.3.F 2.5.3.C Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 11 Number Concepts - Decimals Essential Content/ Essential Questions 2. Students will write a decimal that corresponds to a given pictorial representation (only tenths and hundredths). 3. Student will accurately add and subtract decimals. Time Line: BIG Ideas It is important for students to understand and use decimals. Performance Objectives 2. Students will write the correct decimal given a picture of parts to a whole (only tenths and hundredths). 3. Students will practice adding & subtracting decimals making sure columns are straight and decimals are in the proper alignment. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Using a hundreds grid, students will color a portion matching a given decimal. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will use a hundreds grid and orally transfer the picture representation into a decimal naming the same fractional part. FORMAL ASSESSMENT via WRITTEN TESTS: Students will accurately add and subtract decimals on paper. Students will align the columns and will remember to place the decimal point at the accurate location. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will work with a partner to add and subtract given decimal equations. Teacher Resources Activities/Strategies Daily practice through the utilization of the Everyday Counts – the classroom calendar math program. CCC Chadwell Writing Activities to further explain decimals in relations to fractions. Use 100 grid to make pictures of various decimals and fractions. Fraction bars to demonstrate decimals as parts to a whole. Skill sheet practice Make drawings of decimals when comparing. Textbook Worksheets Standards 2.1.3.A 2.1.3.C 2.1.3.I 2.1.3.A 2.2.3.F M3.A.3.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 11 Number Concepts - Decimals Essential Content/ Essential Questions 4. Students will compare decimals and name which one is larger. Time Line: BIG Ideas It is important for students to understand and use decimals. Performance Objectives 4. Students will compare decimals using >, <, or =. Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Students will use the symbols <, >, or = to compare 2 fractions. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: When 2 decimals are written on the chalkboard, students will write the correct symbol <, >, or =. Teacher Resources Activities/Strategies CCC Chadwell Writing Activities to further explain decimals in relations to fractions. Use 100 grid to make pictures of various decimals and fractions. Fraction bars to demonstrate decimals as parts to a whole. Skill sheet practice Make drawings of decimals when comparing. Textbook Worksheets Standards 2.5.3.C 2.11.3.A Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 12 Number Concepts - Algebra Time Line: BIG Ideas: It is important for students to understand and use decimals. Essential Content/ Essential Questions 1. Students will be able to insert missing addends in addition equations by using the inverse operation of subtraction (ex. 10 + __ = 12 (2 is the missing addend) 2. Students will be able to insert missing subtrahends into simple subtraction equations Performance Objectives 1. Students will complete practice problems by inserting missing addends 2. Students will complete practice problems by filling in the missing subtrahend Assessment FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper of addition equations with missing addends, students will write a subtraction equation under each showing how they determined the missing addend PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: By distributing number cards to each student, the students will physically place themselves as the missing addend in various addition equations that the teacher gives FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper of subtraction equations with missing subtrahends, students will write addition equations under each showing how they determined the missing subtrahend PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Given a subtraction equation with a missing subtrahend, students will orally explain how addition could be used to help determine the missing subtrahend. Teacher Resources Activities/Strategies Use manipulatives to find missing numbers in various operational equations (+, -, x, or divide) Textbook CCC Worksheets Calendar Math Large rectangular construction paper used as “cookie sheets” on desktop. Use color tiles as “cookies”. Manipulate cookies in rows matching various verbal instructions to identify missing multipliers in basic multiplication equations. Textbook CCC Worksheets Calendar Math Standards 2.8.3.B 2.8.3.C 2.8.3.F 2.8.3.I M3.A.2.1.2 M3.D.1.1.1 M3.D.1.2 M3.D.2.2 2.8.3.B 2.8.3.F 2.8.3.I M3.D.1.1.1 M3.D.1.2 M3.D.2.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 12 Number Concepts - Algebra Time Line: BIG Ideas: It is important for students to understand and use decimals. Essential Content/ Essential Questions 3. Student will be able to insert missing factors into basic multiplication equations 4. Students will be able to insert missing divisors into simple division equations using the inverse operation of multiplication. Performance Objectives Assessment 3. Draw picture representation of multiplication or division problems. Then use this drawing to calculate missing factors FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper of multiplication equations with missing factors, students will correctly insert missing factors by utilizing their knowledge of the multiplication tables or by utilizing the inverse operation of division 4. Students will complete skill sheets where they check their division answers by inserting answers into the multiplication equation to check for correctness PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will use manipulatives to explore and discover the missing factor in a multiplication equation when one factor is given and the answer has been supplied. FORMAL ASSESSMENT via WRITTEN TESTS: Given a paper of division problems with the dividend supplied but the divisor missing, students will write multiplication equation under each problem to demonstrate how they solved to find the divisor PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will act out a given word problem to determine the missing divisor in a division equation where the answer is given. Teacher Resources Activities/Strategies Textbook CCC Worksheets Calendar Math Textbook CCC Worksheets Calendar Math Standards 2.8.3.B 2.8.3.F 2.8.3.I MS.D.1.1.1 M3.D.1.2 M3.D.2.2 2.8.3.B 2.8.3.F 2.8.3.I M3.D.1.1.1 M3.D.1.2 M3.D.2.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 13 Organizing Info. – Graphing/Stats/Data Analysis Time Line: BIG Ideas: Organizing data will prepare students to solve given problems. Essential Content/ Essential Questions 1. Students will be able to construct a pictograph and bar graph using data collected. 2. Students will be knowledgeable of a “key” on a pictograph thus enabling them to read the graph and retrieve accurate information from it. Performance Objectives Assessment 1. Students will use classmates to survey-based on their results, they will construct pictographs and bar graphs FORMAL ASSESSMENT via WRITTEN TESTS: Students will be given a table of information and will take this information and construct a pictograph using this information Student will be given a table of information and will take this information and construct a bar graph 2. Students will practice reading pictographs, that have different keys, to obtain accurate information. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: In class, students will work together in small groups to construct a pictograph and a bar graph communicating information given to them. FORMAL ASSESSMENT via WRITTEN TESTS: Students will pay attention to a key of a given pictograph and answer questions correctly regarding information that the graph portrays. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will orally answer questions asked by the teacher requiring the use if a key that corresponds to a given pictograph. Teacher Resources Activities/Strategies This math unit will also be integrated in reading, science and social studies as graphing is a part of these curricula as well. CCC Calendar Math Textbook Worksheets Use manipulatives to construct pictographs and bar graphs (Skittles, jelly beans, Chex Mix, etc.). CCC Calendar Math Textbook Worksheets Standards 2.1.3.C 2.6.3.A 2.7.3.C 2.11.3.B 2.8.3.G 2.8.3.H M3.E.1.2.1 2.6.3.A 2.6.3.B 2.6.3.D 2.8.3.H M3.E.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 13 Organizing Info. – Graphing/Stats/Data Analysis Time Line: BIG Ideas: Organizing data will prepare students to solve given problems. Essential Content/ Essential Questions 3. Student will be able to use tally marks as representation of numbers knowing a bundle represents groups of 5. 4. Students will be able to interpret information off of line graphs, pie graphs, bar graphs and pictographs. Performance Objectives Assessment 3. Students will use tally marks to keep score for various classroom games thus practicing using an calculating tally marks FORMAL ASSESSMENT via WRITTEN TESTS: Survey classmates on favorites (foods, colors, etc.) to construct meaningful graphs which can than be used to make predictions and inferences. 4. Students will be given samples of bar graphs, pictographs, and line graphs. From these graphs, students will be able to answer questions by retrieving information from these graphs. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will keep score for various classroom games by using tallying marks. FORMAL ASSESSMENT via WRITTEN TESTS: Pictographs, line graphs, and pie graphs students will extract information from these to answer questions regarding the information they portray. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Given certain pie graphs, bar graphs, pictographs, and line graphs, students will orally answer questions regarding the information that they portray. Teacher Resources Activities/Strategies CCC Calendar Math Textbook Worksheets CCC Calendar Math Textbook Worksheets Standards 2.6.3.A 2.8.3.G M3.E.1.2.2 2.6.3.A 2.6.3.B 2.6.3.D 2.8.3.J 2.11.3.B M3.E.1.1.1 M3.E.1.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math /3 Unit: 13 Organizing Info. – Graphing/Stats/Data Analysis Time Line: BIG Ideas: Organizing data will prepare students to solve given problems. Essential Content/ Essential Questions 5. Students will be able to use information retrieved from a graphical representation and make predictions or inferences. (ex. notice correlation, etc.) Performance Objectives Assessment Student will be given bar graphs, pictographs, or line graphs and will use them to make accurate, reasonable predictions based on information presented in the graphs. FORMAL ASSESSMENT via WRITTEN TESTS: Students will be given graphs to draw conclusions and make predictions as a result of teacher probing. PERFORMANCE ASSESSMENT via TEACHER OBSERVATION: Students will orally draw conclusions and verbalize correlations from information shown in graph form. Teacher Resources Activities/Strategies CCC Calendar Math Textbook Worksheets Standards 2.6.3.B 2.6.3.C 2.6.3.D 2.11.3.B M3.E.1.1.2 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 14 Organizing Information – Probability & Predictions Time Line: BIG Ideas Learning probability & prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 1. Students will use the vocabulary; more likely, least likely, greater than, and less than correctly both orally and in written form. Performance Objectives 1. When discussing math in class & also writing about it, students will use the phrases “more likely”, “least likely”, “greater than” , and “less than”. Assessment Teacher Resources Formal Assessment: After rolling 2 dice, 10 times, and tracking the occurrence of the numbers, students will write a short paragraph predicting which numbers would most likely appear in the next rolls and which numbers would be least likely to appear. They should explain their reasoning. Playing Bingo – creating their own Bingo cards INFORMAL ASSESSMENT After rolling 2 dice 10 times and tracking the occurrence of the numbers, students will make oral statements explaining what was most likely and least likely. Textbook Worksheets Spinners CCC Calendar math Quizzes Tests Paper bags – to place various color tiles in different numbers, taking turns shaking and pulling tiles to record findings & make predictions Standards 2.7.3A 2.7.3B 2.7.3D M3.E.1.1.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 14 Organizing Information – Probability & Predictions Time Line: BIG Ideas Learning probability & prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 2. Students will explore chance and probability – what gives you a good “chance’ and what gives you a bad “chance”. Performance Objectives Assessment 2. Use spinners and dice, track the frequency of different numbers occurring. Discuss why this could be. FORMAL ASSESSMENT 2. Students will explain what a fair spinner would look like and what an unfair spinner would look like expounding on “good chance” and “bad chance”. INFORMAL ASSESSMENT 2. Students will construct a fair and an unfair spinner. Teacher Resources Playing Bingo – creating their own Bingo cards Textbook Worksheets Spinners CCC Calendar math Quizzes Tests Paper bags – to place various color tiles in different numbers, taking turns shaking and pulling tiles to record findings & make predictions Standards 2.7.3A 2.7.3B 2.7.3D M3.E.3.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 14 Organizing Information – Probability & Predictions Time Line: BIG Ideas Learning probability & prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 3. Students will form hypothesis, based on their experiences and then test their hypothesis. Performance Objectives 3. Practice making hypothesis and checking their hypothesis. Assessment FORMAL ASSESSMENT 3. Students will roll the dice 5 more times after completing assessment #1. They will account for their correctness or incorrectness through explaining the results and revising their hypothesis if necessary. INFORMAL ASSESSMENT 3. Upon completion of assessment #1, students will roll the dice 5 more times to determine whether their prediction was accurate. Teacher Resources Playing Bingo – creating their own Bingo cards Textbook Worksheets Spinners CCC Calendar math Quizzes Tests Paper bags – to place various color tiles in different numbers, taking turns shaking and pulling tiles to record findings & make predictions Standards 2.7.3A 2.7.3B 2.7.3C M3.E.3.1 Board Approved: July 11, 2005 Halifax Area School District Course Plan Math Grade 3 Course Name: Math/3 Unit: 14 Organizing Information – Probability & Predictions Time Line: BIG Ideas Learning probability & prediction concepts will enable students to anticipate outcomes. Essential Content/ Essential Questions 4. Students will use the vocabulary median and range. Performance Objectives 4. Students will practice finding median and range using various types of graphs. Assessment Teacher Resources FORMAL ASSESSMENT 4. Students will write a short explanation for the terms median and range. Playing Bingo – creating their own Bingo cards INFORMAL ASSESSMENT Worksheets Students will demonstrate the meaning of the terms median and range through daily classroom conversation. Spinners Textbook CCC Calendar math Quizzes Tests Paper bags – to place various color tiles in different numbers, taking turns shaking and pulling tiles to record findings & make predictions Standards 2.7.3D M3.E.2
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