Teaching Mathematics in the Elementary School: Activity Diary Carol Moore Number and Number Sense/Patterns, Functions and Algebra Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 1. Skip-Counting/ Even-Odd Numbers 100s chart displayed on the Promethean Board As a class the students determined the missing even and odd numbers. After filling in the missing numbers they began noticing a pattern in the numbers and were able to count by 2s, 5s and 10s. Problem Solving: The students used various strategies to determine the missing numbers and as a result recognized a pattern in the numbers. Whole-class activity (Seen in my 2nd grade Practicum classroom) 2.4 The student will recognize even and odd numbers. 2.20 The student will identify, create, extend a wide variety of patterns. Evaluation/Suggested Modifications I really liked this activity when I saw it in my 2nd grade practicum classroom. The students enjoyed working together as a group determining the missing numbers. It was amazing how they began to recognize a pattern in the numbers after Communication: determining the missing Working together as a numbers. I would extend this group, the students activity one step further, and determined the missing have students fill in the 100s numbers and were able chart either individually or to make sense of the with a partner to be sure numbers. everyone fully understands the concept. Representation: The students used the 100s chart on the Promethean Board and as they filled in the missing numbers they were able to visualize the pattern in the numbers. Number and Number Sense Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 2. Ordinal Position/ Line-Up Students and cards identifying the ordinal position students are in. Students hold a card identifying an ordinal number and work together to determine what position they need to be in. Problem Solving: Students worked together and used a variety of strategies to determine if they were correct. . Whole-class activity (Seen in my 2nd grade Practicum classroom) 2.2 The student will identify the ordinal positions first through twentieth, using an ordered set of objects. ` . Evaluation/Suggested Modifications This activity was a lot of fun and the 2nd graders in my practicum classroom LOVED it! This gave students an opportunity to move, which is a great way for kinesthetic learners to understand a concept. I would extend this Reasoning and Proof: activity one step further, and Students had to work have students use smaller together and use manipulatives before having reasoning strategies them line themselves up as a group to determine to be sure they understood the correct ordinal the concept. position. Computation and Estimation Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 3. Addition Math Facts Promethean Board Working together, students determined addition math facts with sums up to 20 using alternative strategies. Problem Solving: Students applied different strategies to solve the problems. The alternative strategies helped them to solve the problems and helped them to develop new ideas which will help them apply to other math concepts. I really liked this activity when I saw it in my 2nd grade practicum classroom. The students enjoyed working together as a group determining the missing numbers. It was amazing how they began to recognize a pattern in the numbers after determining the missing numbers. I would extend this activity one step further, and have students fill in the 100s chart either individually or with a partner to be sure everyone fully understands the concept. Whole-class activity (Seen in my 2nd grade Practicum classroom) 2.5 The student will recall addition facts with sums to 20 or less and the corresponding subtraction facts. Connections: Students used . different math strategies to help them to solve the problems and make connections which will help them to use alternative math strategies to solve other math problems. Probability and Statistics Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 4. Created Math Spreadsheets on Excel Whole-class/individual assignment (seen in my 4th grade practicum classroom) Computer and weather information to enter into an Excel Spreadsheet Students entered weather information from their science book, comparing a localities coldest months on record and entering information into an Excel spreadsheet. Problem Solving: Students worked together to solve problems and used a variety of strategies that helped them complete the task and using these strategies helped them gain math knowledge. Wow! I was very impressed with this activity and the students technology abilities and resolve to master this task. While this was an individual task, the students worked together to problem-solve to ensure everyone successfully completed the assignment. There are definitely some future IT professional amongst that group of students. 4.14 The student will collect, organize, display, and interpret data from a variety of graphs. . Communication: Students worked together to share their ideas, and as a result learned from one another. This helped students who were initially struggling to master the concept and feel good about their work because they were successful in completing their work. Probability and Statistics Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 5. Place-Value Game Playing cards and paper/ pencil Using playing cards and paper, students draw columns and write the place value of ones through a million on their paper and take turns turning cards over and placing the larger numbers in the higher place-value Reasoning and Proof: Students are using their reasoning skills to determine the place value of the card and the number it represents. I thought this was a fun activity and would be a great way for students to learn their place value. Having them work together in pairs would also foster cooperative learning and students would benefit from sharing mathematical ideas to help them learn this very important math concept. Small group or individual activity Idea from: http://www.education.com/activity/article/your-numbers-up/ 4.1 The student will identify orally and in writing the place value for each digit in a whole number expressed through millions. Communication: While playing this game students are sharing their mathematical ideas and learning from one another. Geometry Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 6. What’s My Shape Head-bands and plane and geometric figures Students wear a head band with a plane or geometric figure on it. Problem Solving: Students need to use a variety of strategies to describe and determine the shape they are wearing. This is a fun activity and a great way for students to interact and learn about shapes. This activity allows students to share their mathematical ideas and learn from one another because one student’s perspective of a shape may enable another student to better understand this math concept. I would extend this activity and have students write characteristics about the shape on the headband and then have students guess what shape they are wearing based on the characteristics written. Whole-class activity Idea from: http://primarypunch.blogspot.com/2013/01/weekly-wrap-up.html 2.16 The student will identify, describe, compare and contrast Plane and solid figures (circle/sphere, square/ Cube, and rectangle/ rectangular prism Communication: Students need to be be able to describe the characteristics of a shape so their classmate can guess the shape they have on their headband This allows them to learn from one another and share their mathematical ideas. Geometry Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 7. Grab and Graph Pattern Block Sheet Pattern block sheet and geometric shapes Students sort and then graph the geometric shapes by shape, size or color. Problem Solving: Students use a variety of strategies to determine how to sort the geometric shapes. Whole-class activity 2.19 The student will analyze data displayed in picture graphs, pictographs and bar graphs. . Idea from: http://petersons-pad.blogspot.com/2011/12/santas-suit-grab-and-graph.html Evaluation/Suggested Modifications This is a fun activity and a great way for students to explore and learn about the different shapes. This activity gives students an opportunity to analyze the different shapes and use a Reasoning and Proof: variety of strategies of how the Students need to shapes can be sorted. analyze the shapes, think logically and explain their reasoning why they sorted the shapes the way they did. Measurement Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 8. How Big Paper to write estimates and measurements on and a measuring tape/ruler Students estimate how big they think something is going to be and then measure to determine how big it is and if their estimate was correct. Reasoning and Proof: Students will need to use logical thinking and justify their answers to determine if their estimations make sense. Whole-class or Individual activity 2.11The student will estimate and measure length to the nearest centimeter and inch. Idea from: http://www.teacherspayteachers.com/Product/Measurement-Sorting-Activity-2MD3-270782 Connections: Students will apply what they know about measurements to determine if their estimates make sense. Evaluation/Suggested Modifications This is a fun activity and a great way for students to apply what they know about measurements so they can apply how big something is in a real world situation. I would extend this one step further and have students measure various things (i.e. people, things found in/out of the classroom) and various ways to measure (i.e. with paper clips, rope, cubes etc.) Geometry Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 9. Is It Symmetrical Camera, paper, crayons and pencils Students take pictures 2.15The student will of themselves and identify and create then draw the other a line of symmetry half to make it . symmetrical. Connections: Students identified and determined symmetry by making connections and applying mathematics to real world situation. This is a fun activity and a great way to understand the concept of symmetry. I would extend this one step further, and give students the option of taking a picture of other things of interest, just in case they are uncomfortable of taking a picture of themselves. Giving them an option will allow them to participate and appreciate other things with symmetry. Whole-class or Individual activity Idea from: http://www.pinterest.com/pin/434738170250090734/ Representation: Students use art to express their math ideas. Geometry Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications 10. Space Case Money Board Game Money game board, playing cards and game pieces Students pick a card and guess how much something costs. If they are correct they move ahead. If they are wrong, they don’t move their game piece. Reasoning and Proof: Students will need to use logical thinking and justify their answers to determine if their answers make sense. This is a great activity and a wonderful way for students to understand and learn the concept of money. This activity requires students to use logical thinking to determine how much something costs. It also allows them to learn from their peers if they are not estimating correctly how much something costs. I would include coins in this activity so students are able to identify the coins and determine how much something costs based on the value of the coins they have. Small Group Activity 2.10The student will count and compare a collection of pennies, nickels, dimes and quarters whose total value is $2.00 or less Idea from: http://firstgradealacarte.blogspot.com/search?updated-max=2011-04-04T23:23:00-04:00&max-results=20 SOME ACTIVITIES COULD INCLUDE MORE DETAIL (ESPECIALLY IN THE LAST 2 COLUMNS). GRADE: 95/100 Patterns, Functions, and Algebra Name and Location of Activity 11. Operation Clue Words Materials Needed Operation clue words, clue word Whole-class/individual cut & paste, assignment (seen in clue word my 2nd grade problems, practicum classroom) clue word problems to solve, and student created word problems to solve Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications My practicum teacher 2.21 The student will Problem Solving: I loved this activity and the discussed the addition solve problems by Students had to use students did too! Word & subtraction clue completing numerical effective strategies to problems can be very tricky, words with the students. sentences involving the determine what clue so this was a great activity Students then cut, . basic facts for addition word to apply in order to empower students so they sorted, and glued the and subtraction. The to solve the word can use effective strategies clue words under the student will create story problem. Using these when solving word problems. I operations heading and problems, using the same strategies will would make a few changes and used the clue words numerical sentences. help them when solving and extend this activity. First, I to solve “clue word multiplication and would use the names of my problems.” Students division word problems. students in the “clue word then applied what they problems.” This would make had learned and created Reasoning and Proof: the problems more relevant their own word problems Students had to apply and interesting to students. using their clue words to their reasoning skills to Second, I would talk about the solve the word problems. determine if their information in the word My practicum teacher answers made sense. problems that is not important also shared this activity This allowed them to (i.e. people, places etc.) in order could also be applied when use their prior know-. to solve the problem. teaching multiplication and ledge of addition and division. subtraction and selfcorrect their answers.. Representation: The students used the clue words to solve the problems and applied these strategies to solve the word problems they created. Number and Number Sense Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 12. Roll It! Make It! Expand It! Roll It! Make It! Expand It! Activity Sheet, dice, flats, longs and cubes Students rolled the 2.1 The student will dice and wrote the read, write, and identify number they rolled the place value of each under the ones, tens, digit in a three-digit and hundreds place. numeral, using They then built the numeration models. number using baseten blocks and wrote the number in expanded form. Problem Solving: This was such a fun activity! Students used a variety I had fun working with the of strategies which students and the students had helped them to under- fun as well! Doing this activity stand this math concept with my 2nd grade practicum The strategies they class, helped me to understand used helped them to the students thinking and determine the placehelped me to use effective value, to build the teaching strategies to help number, and to expand them come up with their own the number. strategies. When we came came back together as a group, Reasoning and Proof: I called on a student (Zachary) Students applied their to share the biggest number reasoning skills, and his group made and what he applied their prior learned. He replied he didn’t knowledge of counting know, so I asked him what it to determine if their would look like if he did know… answers made sense. This student is a little quiet and reserved, but he thought Communication: about his answer and Students worked responded. After our together to share activity, I read them a book their ideas and as a “Tyrannosaurus Math” and result learned from noticed that Zachary was one another. raising his hand to answer a question about the book. I am hoping that calling on him has sparked an interest in him to participate more. Whole-class/partner activity (I did this activity with my 2nd grade practicum class.) Idea from Pinterest http://www.classroomfreebiestoo.com/2013/03/place-value-freebie.html Evaluation/Suggested Modifications Number and Number Sense Name and Location of Activity 13. Race To 100 Materials Needed Place-value mat, dice, and Whole-class/individual place-value activity (seen in my manipulatives 2nd grade practicum classroom). Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) Students roll the dice and place the number of ones rolled on their mat. They keep rolling, adding that number of ones to their mat. Once they have ten ones, they trade them for a ten and continue until they have 100. Problem Solving: Students had to use a variety of problemsolving strategies to complete this task. This activity and the strategies they used will help them when they are regrouping two-digit numbers. 2.1 The student will round two-digit numbers to the nearest ten. . Evaluation/Suggested Modifications This was a fun activity and a great way to see who understood and who was ready for regrouping.The students were very excited it was a competition. However, they were very serious about the task, because they did not want to mess up and have to start over. I would make a few changes to this activity. I would pair students up. This would Reasoning and Proof: allow them to learn from their Students had to apply peers, and would allow me their reasoning skills, to rotate around the room to and apply their prior assist all of the students. knowledge of what Students had to apply a variety they know about of problem-solving strategies counting to determine and apply they prior knowledge if their answers made of numbers to help them sense. determine if their answers made sense. Using the manipulatives Connections: helped them make a connection Using the manipulatives to the math concept. helped students to make a connection between the manipulatives and this math concept, because they were able to see once they had ten ones they traded them for a ten. Number and Number Sense Name and Location of Activity Materials Needed 14. Place-Value War Deck of cards, Students work in paper & pencil pairs and take turns turning over the cards. The student who turns over the card with. the biggest number wins that hand and the student who makes the biggest number to a million wins the game. Whole-class/partner activity (seen in my 4th grade practicum class) Brief Description Relevant of Activity Standard(s) of Learning (SOL) 4.1 a) The student will identify orally and in writing the place value for each digit in a whole number expressed through million; b) compare two whole numbers expressed through millions, using symbols (greater than, less than, or equal to). Relevant NCTM Process Standard(s) Problem Solving: Students used a variety of problem-solving strategies and used their prior knowledge of what they know about numbers in order to determine the placevalue of the numbers. Evaluation/Suggested Modifications What a great idea for an activity! The students had a lot of fun and LOVED playing this game! This was an easy game to implement and taught the kids a very important math concept. This activity can easily be modified for any grade level that is learning place-value. For example, in 4th grade they are Reasoning and Proof: learning place-value all the way Students had to use up to a million, but the game their reasoning skills could be modified for students to explain their answers in 2nd grade who are learning and the place-value of place-value to 100. This is an the numbers AWESOME game and the kids will have fun and learn while Communication: playing it! Students worked together In pairs, shared their ideas, and as a result learned from one another. Computation and Estimation Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 15. Missing Sign Math Game Missing Sign Board Game, game pieces, and playing cards Students work in 4.4 The student will small-groups and take solve single-step and take turns solving the multistep addition, problems to determine subtraction, and the missing sign. multiplication problems Students pick a game with whole numbers. piece, turn over a card and solve the problem to determine the . missing sign. First player to finish wins. Problem Solving: Students used a variety of problem-solving strategies to solve problems in order to determine the missing sign. Whole-class/smallgroup activity (seen in 4th grade practicum class) Evaluation/Suggested Modifications This was a fun activity and the students enjoyed playing the game. This game is also an easy game to implement and teaches a very important math. concept. This game could easily be modified as well for any grade. For example, for lower Reasoning and Proof: grades you could create a game Students had to apply with addition and subtraction their reasoning skills problems and modify as the to determine if their students learn new math answers made sense concepts. Playing this game and explain their required students to use a reasoning of why they variety of problem-solving used a sign in the strategies and apply their addition, subtraction, reasoning skills to determine and multiplication the missing sign. Students problems. definitely benefited from listening to and applying their classmates strategies. Communication: Students learned from one another and benefited from listening to their classmates strategies for solving the problems. Computation and Estimation Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 16. Frankenstein Fact Families Addition and subtraction fact family cards, and a pencil Using the Frankenstein 2.9 The student will fact family cards, . recognize and describe students write all four the related facts that equations in that fact represent and describe family using the the inverse relationship numbers given (i.e. between addition and. 3, 7, 4). Students then subtraction. write addition and subtraction equations related to the fact family given (i.e. 4 + 3 = 7). Students are then asked to create equations from a picture (i.e. 3 candy corns and 4 candy corns). Lastly, students are asked to create their own addition and subtraction fact families. Problem Solving: This is a very cute activity and Students use a variety a great way for students to of problem-solving practice their addition and strategies in order to subtraction fact families. determine the related Students have to use a variety addition and of problem solving strategies in subtraction fact families. order to determine the related fact families. This activity Reasoning and Proof: challenges students to apply Students need to use effective reasoning strategies effective reasoning and apply what they know strategies and apply about numbers and their their number sense and relationships. Therefore, only their understanding of the numbers that are related the relationship of the belong in that fact family. numbers. You can pick your friends, but you can’t pick your family. Whole-Class/ Individual Activity Idea from: file:///D:/Downloads/FrankensteinFactFamiliesFreebie.pdf Evaluation/Suggested Modifications Number and Number Sense Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 17. Place Value BATTLESHIP Place value grid with the different place values and a page to create their secret number, and a pencil Students work in small- 4.1 The student will groups with a partner. Identify orally and in Each partner comes up writing the place value with a number and for each digit in a whole writes it down. They number expressed then take turns asking through millions. each other questions. For example, Do you have 7 tens? If they do, then it’s a hit and you circle the number on the grid. If it’s a miss you put an X. The first person to figure out their opponents number wins. Problem Solving: Students use a variety of problem-solving strategies in order to determine your opponent’s number. Partner/smallgroup activity Idea from: http://eisforexplore.blogspot.com/2013/07/place-value-battleship.html Evaluation/Suggested Modifications This is such a fun activity and a great way to utilize a classic game to teach an important math concept. This game could easily be modified to use in higher or lower grades, depending on what place Reasoning and Proof: value the students know Students need to use and are learning. This activity their reasoning strategies requires students to use a of what they know about variety of effective problemnumbers and to figure solving and reasoning out their opponents strategies to determine their number. opponents number. Students also benefit from listening to Communication: and watching their opponent Students benefit from and the strategies they use listening to their which will not only help them classmate’s thinking and to utilize effective strategies learn effective strategies while playing this game, but to solve the problem and to solve problems in the future. to solve similar problems in the future. Number and Number Sense Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 18. UNO PLACE VALUE Task cards, Uno playing cards, playing mat, recording sheet, and a pencil Students work in small- 4.1 The student will groups or with a partner. compare two whole Students take turns numbers expressed pulling a task card, and through millions both pull a uno card number expressed from the deck and through millions, using follow the directions symbols (>,<, or =). from the task card. They lay their cards on the playing mat and build a number based on the task (i.e. if asked to build the smallest number the student with the smallest number wins. Once they have used all the task cards, they count up their total number of wins. They write their number in a box and write their partners number in the other box. They use the greater than, less than or equal to symbols to determine who the overall winner is. Problem Solving: Students use a variety of problem-solving strategies to complete the task and determine an appropriate number. Partner/smallgroup activity Idea from: http://eisforexplore.blogspot.com/2012/06/uno-place-value-build-number.html Evaluation/Suggested Modifications This is an AWESOME activity and a great way to build on student’s understanding of place-value. Students are required to use a variety of problem strategies to come up with a number that is in Reasoning and Proof: line with what the task is Students use effective asking for. Students also have reasoning strategies to use effective reasoning and use their prior strategies and use their prior knowledge of numbers knowledge of numbers to to determine a number ensure their reasoning makes that makes sense for sense. Having students work the task. with a partner is a great way for all students to learn effective Communication: strategies from their peers so Students benefit from they can apply to solve problistening to their partners lems as well. Utilizing the Uno thinking strategies and cards also allowed students to learn effective strategies make a connection to and they can apply to solve understand the math concept. other math problems. This game could be modified . so it can be played and enjoyed Connections: in other grades based on the Students used the Uno students understanding. playing cards to help them make sense of the math. Number and Number Sense Name and Location of Activity Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Relevant NCTM Process Standard(s) 19. TARGET Deck of playing cards (w/ face cards removed), scratch paper, and pencils Shuffle the cards and 4.4 The student will deal out four cards solve single-step (face down) to each and multistep addition, player. Place the subtraction, and remaining deck face multiplication problems down and turn one with whole numbers. card over. This is your target number (aces = 1). Students count to three and turn their cards over at the same time. Students add, subtract, multiply or divide in any combination to get to their target number. Students must use all four of their cards and need to be able to verify their answers. Whoever can create an equation with the target number wins a point. First player to get 3 points wins. Problem Solving: Students use a variety of problem-solving strategies in order to create an equation so they can get to the target number. Small-Group Activity Idea from: http://www.education.com/activity/article/Bulls_Eye/ Evaluation/Suggested Modifications This is a great activity and a wonderful way for students to practice their addition, subtraction, multiplication, and division facts. Playing this game challenges students to use their problem-solving skills, and use effective Reasoning and Proof: reasoning strategies, and their Students must use prior knowledge of numbers effective reasoning and operations in order to strategies and their create an equation in order to prior knowledge of reach a target number. This is what they know about a challenging task, so students numbers and operations definitely benefit from listening in order to get to the and watching the effective target number. strategies their peers are using so they can apply not Communication: only to this activity, but apply Students benefit from to similar math problems in listening to their peers the future. thinking strategies. The strategies they learn while playing this game not only benefits them while playing this game, but will benefit them in the future as well when they are solving similar problems. Computation and Estimation Name and Location of Activity 20. LEGO Multiplication Materials Needed Brief Description Relevant of Activity Standard(s) of Learning (SOL) Different Students work in 4.4 The student will size LEGOs, small-groups. Using solve single-step and paper & pencil different sized legos multistep addition, Whole-class/smallstudents count the subtraction, and group activity (seen in studs to determine multiplication problems my 4th grade practicum the multiplication with whole numbers. class) equation. For example, a lego brick represents one group. 2 lego bricks with 4 studs (2 groups of 4) equals 2 x 4. Students then solve the problem. Relevant NCTM Process Standard(s) Evaluation/Suggested Modifications Problem Solving: Oh my gosh! What an Students use variety awesome math activity! It of problem-solving is amazing what resources strategies to determine kids have available to help and solve the them understand math multiplication equations. concepts. While I love the activities the students have Reasoning and Proof: available to use, it is interesting Students had to use to note that I worked at an their reasoning elementary school for almost strategies and justify ten years, and I don’t recall their answers if their seeing fun activities like this. answers made sense. I am wondering if it is because it is a Title I school, Connections: because the students had Students used the learning disabilites, or because Lego manipulative to of the caliber of the teachers…. make sense of the math Either way, I have learned a concept. very important lesson that doing activities and using manipulatives are invaluable in helping all students to learn and understand math concepts. This activity could also be used to explore addition and subtraction. 2 lego bricks with 4 studs (2 groups of 4) equals 2 x 4. LOVE IT!
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