Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
Skills students should demonstrate by the end of the 2nd 9-‐weeks of school: Unit 4-‐ Data Analysis • Learning Goal: Student will understand how data can be collected, sorted, and organized. How parents can help: ! You and your student can use dry goods from your cupboard or toys from a toy box to organize and sort. ! You and your student can create a table/chart of the goods and create questions to ask about the table. ! You and your student can use the Internet to reinforce how to collect, sort, and organize data. o http://www.brainpopjr.com/math/data/tallychartsandbargraphs /picturemaker/ o http://www.topmarks.co.uk/maths-‐games/5-‐7-‐years/data-‐ handling o http://www.kidsmathgamesonline.com/numbers/mathdata.html • Learning Goal: Student will know that different data representations can be used to represent the same data set. How parents can help: ! You and your student can use the table/graph from the previous lesson and create a pictograph or plot diagram using the same amount of goods organized and sorted. ! You can also create a chart on Word or Excel to represent the same data. ! You and your student can use the Internet to reinforce data representation. o http://www.topmarks.co.uk/maths-‐games/5-‐7-‐years/data-‐ handling o http://cstl.syr.edu/fipse/TabBar/Compare/COMPARE.HTM o http://www.shodor.org/interactivate/activities/BarGraph/ o http://www.mhschool.com/math/mathtoolchest/mtc_online/ o Math Tool Chest allows you to create graphs • Learning Goal: Student will understand graphs and tables can be created to summarize and emphasize various aspects of data. How parents can help: ! You and your student can describe the table by making a list of the observations and draw conclusions about the table. ! You and your student can then summarize your data into a 3 to 5 sentence paragraph of your findings. ! You can also look for graphs and charts in magazines and newspapers and summarize your findings too. ! You and your student can use the Internet to summarize data from tables and graphs.
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
o http://www.topmarks.co.uk/maths-‐games/5-‐7-‐years/data-‐ handling o http://cstl.syr.edu/fipse/TabBar/Compare/COMPARE.HTM o http://www.shodor.org/interactivate/activities/BarGraph/ o http://www.mhschool.com/math/mathtoolchest/mtc_online/ o Math Tool Chest allows you to create graphs
Unit 5-‐ Relating Multiplication to Division • Learning Goal: Student will understand strategies to include mental math, partial products, and properties of operations, and algorithms, including the standard algorithm, can be used to multiply numbers (multiplication of whole numbers within 100). How parents can help: ! You and your student can practice multiplying the way you already know-‐ simply by multiplying ones, tens, and hundreds separately, and then add. Be sure to include any regrouped values while multiplying. Both of you can create your own problems. ! You and your student can practice on baking pans with magnetic letters to make it a real fun and engaging experience together. ! You and your student can use the Internet to reinforce strategies to multiply numbers within 100. o http://www.homeschoolmath.net/teaching/md/multiplication_al gorithm.php o https://learnzillion.com/lessons/530-‐multiply-‐using-‐the-‐ standard-‐algorithm o http://www.helpingwithmath.com/by_subject/multiplication/mu l_flashcards.htm • Learning Goal: Student will understand strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts can be used to solve multiplication and division problems (one-‐step multiplication and division of whole numbers within 100). How parents can help: ! You and your student can use cut out squares or grid paper to practice drawing or creating array models to solve problems. ! You and your student can practice multiplication and division facts until they become automatic with card games. Then, track their mastery with a chart to show when a fact is mastered consistently. ! You and your student can use the Internet to reinforce the strategies based on pictorial models and properties of operations. o http://www.harcourtschool.com/activity/space_arrays/ o http://www.learnalberta.ca/content/me3us/flash/lessonLaunche r.html?lesson=lessons/08/m3_08_00_x.swf o http://www.brainpop.com/games/jellybean/
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
Learning Goal: Student will understand that when multiplying and dividing two non-‐zero whole numbers, the product will always be larger than each of the factors and the quotient will always be smaller than the dividend (multiplication/division of whole numbers within 100). How parents can help: ! You and your student can practice multiplying and dividing with playing cards. ! You and your student can play Tic-‐Tac-‐Toe. You will need nine sheets of white and/or notebook paper. You will write a big tic-‐tac-‐toe grid on all nine sheets of paper that fills up the entire sheet. You will then write unsolved equations in all portions of the tic-‐tac-‐toe grids to have a total of nine equations on each sheet of paper. You and your child will then take turns answering equations trying to answer three in a row. Once a player wins on one sheet, that player keeps that sheet. This will continue on with the rest of the sheets until one player wins three sheets in a row. ! You and your student can use the Internet to reinforce how the answers will be different for multiplying and dividing. o http://www.multiplication.com/games/play/sketchs-‐world o http://www.multiplication.com/games/game-‐categories/Action-‐ Games • Learning Goal: Student will understand that division problems can be distinguished as either partitive division (also known as measurement division) or quotative division (division of whole numbers within 100). How parents can help: ! You and your student can practice making word problems like the ones listed in the website below. ! You and your student can be creative and use things around the house for your word problems. ! Once you create the partitive problem, you can turn it into the quotative problem as well. ! You and your student can use the Internet to reinforce both kinds of division. o http://www.math.niu.edu/courses/math402/packet/packet-‐4.pdf o http://www.youtube.com/watch?v=d77HfAxxyj4 • Learning Goal: Student will understand the relationships that exist between the terms in multiplication and division equations and situations and how the product of a multiplication fact becomes the dividend in its related division fact (multiplication and division of whole numbers within 100). How parents can help: •
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
! You and your student can play spiral multiplication and division game with a deck of cards. Use the deck of cards to make a spiral game board starting from the center. Place your game pieces at the start (center). Player 1 rolls the die. Player 1 multiplies/divides the number on the die by the card the game piece is on. If they are correct, they move the number of spaces the die shows. If they are incorrect, they do not get to move. Take turns and repeat until someone reaches the end (last card on the outside of the spiral). ! You and your student can use the Internet to reinforce the relationships between multiplication and division. o http://www.ezschool.com/Games/Math/MultiplyDivide/FactFam ily2.html o http://www.mad4maths.com/3_x_multiplication_table_math_gam e/ o http://www.bbc.co.uk/bitesize/ks1/maths/division/play/popup. shtml • Learning Goal: Student will understand that a number divisible by 2 is an even number, whereas a number not divisible by 2 is an odd number. How parents can help: ! You and your student can play the “Odd and Even” game with cards. You both decide who is going to be “odd” and “even”. Player 1 draws a card and if the number is what they chose (odd or even) they write the number from the card on their recording sheet. If the card is not what they chose (odd/even), his/her turn is over. The first person to 50 points wins. The winning total can always be adjusted. You can always substitute the cards for dice. ! You and your student can use the Internet to reinforce odd and even numbers. o http://www.mathsisfun.com/numbers/even-‐odd.html o http://www.abcya.com/number_race.htm o http://www.ixl.com/math/grade-‐3/even-‐and-‐odd • Learning Goal: Student will use basic fact strategies and properties of operations lead to automaticity with multiplication facts and the recall of corresponding division facts (multiplication facts up 10 x 10). How parents can help: ! You and your student can play a memory game-‐ one card contains the factors and the other contains the product. ! You and your student can roll two dice and multiply the 2 numbers they rolled together. ! You can also draw dominoes that are face down and multiply the dots on either side of the domino together. ! You and your student can use the Internet and apps to reinforce automaticity with multiplication/division.
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
o http://www.bbc.co.uk/bitesize/ks1/maths/multiplication/play/p opup.shtml o http://www.mad4maths.com/multiplication_table_math_games/ o http://resources.oswego.org/games/ o Fast Facts Multiplication for iPad Unit 6-‐ Representing Fractions • Learning Goal: Student will partition a whole number into its equal parts, and each of those parts has a name (fractions with denominators of 2, 3, 4, 6, and 8) How parents can help: ! You and your student practice making fractions with paper plates. Your student can be creative with the plate when coloring it. Then, you cut the paper plates into eighths, thirds, etc. You and your student can practice making different fractions with the different denominators. You can also do this with cookies/pizza before they eat them. ! You and your student can use the Internet to reinforce fractions. o http://www.sheppardsoftware.com/mathgames/earlymath/fracti ons_shoot.htm o http://www.sheppardsoftware.com/mathgames/fractions/fracTu t1.htm • Learning Goal: Student will use fractions to represent parts of a whole, parts of a set, or points/distances on a number line (fractions with denominators of 2, 3, 4, 6, and 8) How parents can help: ! You and your student can use yarn for a number line and place index cards with fractions on them. You create your intervals and distance from one point to another. ! You and your student can make a big number line and add cards to it over time in order to keep practicing. The string can be stretched over several feet attached to objects so that cards can be placed on them like table tents. ! You and your student can use the Internet and videos to reinforce fractions on a number line. o http://www.bbc.co.uk/bitesize/ks2/maths/number/fractions/pla y/ o https://www.khanacademy.org/math/pre-‐algebra/fractions-‐pre-‐ alg/understanding-‐fractions-‐pre-‐alg/v/plotting-‐basic-‐fractions-‐ on-‐the-‐number-‐line • Learning Goal: Student will know that fractions can be recorded symbolically using a numerator, denominator, and fraction bar (fractions with denominators of 2, 3, 4, 6, and 8). How parents can help:
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
! You and your student can practice making fractions out of names starting with their own. For example, NOAH, ½ consonants and ½ vowels. You can do this with all the family members’ names. ! You can also make fractions with your paper plate pieces from the first lesson in this unit. ! You and your student can discuss the different parts of the fraction-‐ numerator, denominator, and fraction bar. ! Remember that the fraction bar indicates that the division of the numerator by the denominator will be performed. ! You and your student can use the Internet to reinforce what fractions symbolize. o http://www.sheppardsoftware.com/mathgames/earlymath/fracti ons_shoot.htm o http://www.sheppardsoftware.com/mathgames/fractions/fracTu t1.htm • Learning Goal: Student will understand a fraction representing one part of a whole is called a unit fraction (fractions with denominators of 2, 3, 4, 6, and 8). How parents can help: ! You and your student can discuss what is a unit fraction. ! A unit fraction is where the numerator is one and the denominator is a positive integer. ! The numerator lets you know that one unit or piece of the denominator is being represented in a unit fraction. ! You and your student can use the Internet to reinforce unit fractions. o http://www.ixl.com/math/grade-‐3/match-‐unit-‐fractions-‐to-‐ models o http://www.sheppardsoftware.com/mathgames/fractions/fracTu t1.htm • Learning Goal: Student will know that fractions can be composed and decomposed using unit fractions of the same denominator (fractions with denominators of 2, 3, 4, 6, and 8). How parents can help: ! You and your student can practice composing and decomposing fractions. ! Use small strips of paper and write fractions on them with the same denominator. This symbolizes that a fraction can be broken down into its individual unit fractions-‐ ¾ is the same ¼ + ¼ + ¼ ! Then, allow your student to compose (+) and decompose (-‐) fractions. They will love it! ! You and your student can use the Internet to reinforce fractions. o http://www.theteacherstudio.com/2013/02/fractions-‐day-‐15-‐ composing-‐and.html
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
Learning Goal: Student will solve problem situations involving dividing an object or a set of objects that are related to fractions (fractions with denominators of 2, 3, 4, 6, and 8). How parents can help: ! You and your student can take a group of items around the house-‐ buttons, types of snacks, small toys, etc., separating them, and creating fractions. For example, out the 8 buttons you gather, 4 are red-‐ 4/8 would be the fraction you would write. ! You and your student can use the Internet to reinforce partitioning fractions. o https://mathed.byu.edu/~peterson/Fractions%20Unit%20Sec% 201.pdf • Learning Goal: Student will use a number line to compose an infinite series of points that are labeled according to a specified unit length and its distance from zero. How parents can help ! You and your student can write different fractions on index cards and practice placing them in order on the floor with string/shoe string or at the edge of a table. ! Do this with different fractions to keep practicing. ! You can also use sidewalk chalk to create number lines outside, as well. ! You and your student can use the Internet to reinforce number lines. o http://www.brainpop.com/games/battleshipnumberline/ o http://www.sheppardsoftware.com/mathgames/fractions/Anima lRescueFractionsNumberLineGame.htm Unit 7-‐ Application of Multiplication and Division • Learning Goal: Student will understand a variety of strategies that can be used to represent and solve multiplication and division problems (multiplication and division within 100). How parents can help: ! You and your student can use long division, lattice multiplication, dog tail division, and pictorial models to solve problems. ! You and your student can work out problems using the different ways. Have your student teach you all the different ways to work out problems. ! You and your student can use the Internet to reinforce how to solve multiplication and division problems. o http://www.mathplayground.com/index_multiplication_division.h tml o http://www.youtube.com/watch?v=HEpImM99yps o http://www.youtube.com/watch?v=cijuPxHgZAA o http://www.youtube.com/watch?v=9k1QldHAANY •
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
Learning Goal: Student will understand that when multiplying two whole numbers, the product will always be larger than each of the factors and when dividing whole numbers (with the dividend larger than the divisor), the quotient will always be smaller than the dividend. How parents can help: ! You and your student can practice multiplying and dividing with playing cards. ! You and your student can play Tic-‐Tac-‐Toe. You will need nine sheets of white and/or notebook paper. You will write a big tic-‐tac-‐toe grid on all nine sheets of paper that fills up the entire sheet. You will then write unsolved equations in all portions of the tic-‐tac-‐toe grids to have a total of nine equations on each sheet of paper. You and your child will then take turns answering equations trying to answer three in a row. Once a player wins on one sheet, that player keeps that sheet. This will continue on with the rest of the sheets until one player wins three sheets in a row. ! You and your student can use the Internet to reinforce how the answers will be different for multiplying and dividing. o http://www.multiplication.com/games/play/sketchs-‐world o http://www.multiplication.com/games/game-‐categories/Action-‐ Games • Learning Goal: Student will understand that place value understandings and properties of operations are used to develop the standard multiplication algorithm. How parents can help: ! You and your student can discuss the steps of solving a multiplication problem using the standard algorithm. Use the videos below to help with each type. Please help your student find the strategy that works best for him/her. ! You and your student can use the Internet to reinforce the multiplication algorithm. o http://www.homeschoolmath.net/teaching/md/multiplication_al gorithm.php o http://web.mnstate.edu/peil/MDEV102/U1/S8/Standard2.htm o http://www.youtube.com/watch?v=JjyO6Edl9vU o • Learning Goal: Student will understand that a number divisible by 2 is an even number, whereas a number not divisible by 2 is an odd number. How parents can help: ! You and your student can play the “Odd and Even” game with cards. You both decide who is going to be “odd” and “even”. Player 1 draws a card and if the number is what they chose (odd or even) they write the number from the card on their recording sheet. If the card is not what they chose (odd/even), his/her turn is over. The first person to 50 points •
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
wins. The winning total can always be adjusted. You can always substitute the cards for dice. ! You and your student can use the Internet to reinforce odd and even numbers. o http://www.mathsisfun.com/numbers/even-‐odd.html o http://www.abcya.com/number_race.htm o http://www.ixl.com/math/grade-‐3/even-‐and-‐odd
Learning Goal: Student will understand that relationships exist between the terms in multiplication and division equations and situations. How parents can help: ! You and your student can practice division problems, which is the inverse operation of multiplication. ! Students find it easier to do division in this way since they know their multiplication facts. ! You and your student can use this video and information to help understand the relationship. o https://learnzillion.com/lessons/965-‐understand-‐multiplication-‐ and-‐division-‐relationships#quickcode-‐modal o http://www.aaamath.com/pro34cx2.htm •
Unit 8-‐ Personal Financial Literacy • Learning Goal: Student will understand that an individual’s education, talents, and skills may affect the person’s income and value to an employer. How parents can help: ! You and your student can discuss the pros and cons to attending college after graduation. ! You and your student can discuss the difference between a skilled-‐worker versus a non-‐skilled worker. ! You and your student can use the Internet to show the different salary ranges due to education and skill. o http://www.cesdp.nmhu.edu/youth-‐programs/docs/earnings.pdf o http://education-‐ portal.com/articles/How_Much_More_Do_College_Graduates_Earn _Than_Non-‐College_Graduates.html • Learning Goal: Student will know that costs of goods and services are affected by the availability or scarcity of resources. How parents can help: ! You and your student can discuss why goods and services are affected by scarcity. ! The difficult part that students do not understand is that when supply is low, the cost of the item is higher. ! You and your student can use the Internet to understand scarcity.
Third Grade Mathematics Learning Goals for 2nd 9-‐Weeks
o http://www.socialstudiesforkids.com/articles/economics/scarcit yandchoices1.htm o http://www.hfcsd.org/webpages/tnassivera/news.cfm?subpage= 1059 • Learning Goal: Student will understand planned and unplanned spending decisions affect financial security. How parents can help: ! You and your student can discuss the difference between planned spending and unplanned spending. ! Planned spending is already budgeted and unplanned spending is fun at that moment, but affects your finances. ! Please use these websites to help aid your discussion with your student. o http://pbskids.org/itsmylife/games/mad_money_flash.html o http://money.usnews.com/money/blogs/my-‐ money/2013/10/16/5-‐steps-‐to-‐teach-‐kids-‐about-‐spending-‐vs-‐ saving Learning Goal: Student will know that using credit to obtain wants and needs requires informed choices and results for borrower. How parents can help: ! You and your student can discuss how credit works for borrowing money. ! Letting your student understand that if they do not pay it back quickly, they will have to pay the bank or business extra money. ! Please use these websites to help aid your discussion with your student. o http://www.handsonbanking.org/htdocs/en/k/#/en/k/cr/3.html o http://www.themint.org/kids/cash-‐check-‐or-‐credit.html •
Learning Goal: Student will know that decisions regarding savings affect financial security and charitable giving requires informed choices as well. How parents can help: ! You and your student can set up a budget that requires his/her allowance to have a required amount to save and donate. ! This will allow your student to make informed choices and/or decisions during this process. ! Let your student pick the charity of their choice from the website below. ! Please use these websites to help aid your discussion with your student. o http://www.handsonbanking.org/htdocs/en/k/#/en/k/cr/3.html o http://www.more4kids.info/652/top-‐childrens-‐charities/ •