First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Lesson began on Week 5 1st 6 weeks and continues 1st week of 2nd 6 weeks October 1 - 5 (2nd 6 weeks ) 4 instructional days + 1 day for topic assessment Learning Standards 1.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. 1.2 The student applies mathematical process standards to represent and compare whole numbers 1.3 The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. 1.5 The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships Learning Standards Processes When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, [and] number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication. Instruction Resources On the first day of October, dismantle the September calendar. Respond to various directions for removing numbers from a calendar; for example, remove the number before 10, the number that is 5 and 3 more, all the sundays, etc. enVision Math -Topic 3 TE Lessons 3-1 through 3-7. The daily routine consists of Calendar, counting, additionsubtraction, patterns, problem solving, Learning Tubs (Math Stations), small group instruction with the teacher, Vocabulary and journal reflection/writing, Calendar – Refer to 1st week routines Counting to 50 on the number line or alternate one day on the number line and then on the 100 chart. Literature Connection: Addition Annie by David Gisler Ten Frame - Teaching Tool 5 from Teaching Tool Masters Topic 1-20 Part Part Mat – Teaching Tool 3 from Teaching Tool Masters Topic 1-20 Technology: Pearson enVision link for animated introduction – copy and paste this link: https://www.pearsonsuccessnet.com/ enVision eTools Continue to provide practice - Compose and Decompose the numbers 1 – 10 using the Ten Frame mat. Math Stations Five Frame/Ten Frame – Students will practice composing and decomposing numbers 1 10 Domino – Students will practice making number sentences using dominoes or using Domino Sums 1-6 Teaching Tool 13. Dice – Provide a variety of dice, if available. Allow students to use dice to make number sentences and then create a word problem using those numbers. http://www.internet4classrooms.co m/skills-1st-mathbuilders.htm Number Line – Students explore the number line and solve addition problems using the number line. Also, you may allow students to use http://www.funbrain.com/linejump http://www.funbrain.co m/linejump/index.html http://www.fun4thebrain.com/addi tion.html Refer to week 2 for more details related to 100 chart. 2012 - 2013 Assessment Formal or informal Students will be able to recognize and solve problems in addition situations using the five frame, ten frame, number line, or any other tools available West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Number Pattern 2 4 6 8 10 ____ What will come next in the pattern? How do you know? Problem of the Day – Teacher Resource Masters (use Read and Understand, Plan, Solve, and Look Back and Check). Introduce Concept and Vocabulary Stations o Teacher – Small Group o Students in learning stations VocabularyRoutine – Frayer Model (The recommended word/words for Frayer Model is in bold letters in the key vocabulary) o Monday – Introduce the word and place word in the middle o Monday and Tuesday – Provide opportunities to experience the word, use word in context, read books, use manipulatives o Wednesday – Have students provide the definition and characteristics. Write on Frayer Model o Thursday – Have students provide examples (synonyms) and non-examples (antonyms). Journal reflection Key Vocabulary: Topic 3: part, whole, add, plus (+), sum, equals (=), addition sentence, join, order, addend /index.html When starting a new concept, students take home the “Home-School Connection” letter to parents from the enVision Math Texas student consumable book. Using the HomeSchool Connection letters introduces parents/guardians the concept the students are learning and encourages active parental support of mathematics. 2012 - 2013 To practice using the number line Math Facts: Crack the Mystery Pasta Code Center Activities Topic 3 – Teacher Resource Masters Interventions/Extensions Based on student needs Each lesson has differentiated instruction activities and homework based on the understanding of the concept by the students. The teacher will use the student work on the Quick Check to prescribe differentiated instruction. Also….. Use TE Meeting Individual Needs 49G and 49H to differentiate instruction for ELL, Special Needs, Below Level and Advanced students. Tier 2 – Students work in small groups or with peer tutors to complete assigned tasks Product/Project Journal Entry Various reflections showing learning at Math Stations – Students will illustrate shapes, numbers, colors, sorting rule with which they explored in the various stations. Students will show a Part Part addition model using own pictures Students will use magazines/catalogs to cut out various items. Then, students will write out the word problem and addition sentence Math Concept Board – continue adding to the concept board. Review vocabulary added previously. First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.3A use concrete and pictorial models to determine the sum of a multiple of 10 and a one-digit number in problems up to 99. Addition: Sums to 10 Use concrete objects to model addition problem situations with sums to 10 and write the corresponding number sentence. Use tools such as the Part/Part/Whole mat and concrete objects such as counters to model addition problem situations. Part Part Whole Example: Payton had 2 teddy bears, her sister gave her 3 more. How many teddy bears does Payton have all together? Model by placing 2 teddy-bear counters in one “part” of the Part/Part/Whole mat and 3 teddy bears counters in the other “part” of the Part/Part/Whole mat. . Move the “parts” to the whole section since the question asks to find the number of teddy bears she has all together. Remind the students that Payton started with 2 bears and her sister gave her 3 bears. She ended up with a total of 5 bears. Model for the students how to write the number sentence. Number Sentence: 2+3=5 or 3+2=5. 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Use concrete objects to create addition problem situations with sums to 10 and write the corresponding number sentence. Use tools such as a Part/Part/Whole mat and concrete objects such as counters to create addition problem situations. Part Part Whole Example: Provide the students with 10 two- colored counters. Prompt the students to use the 10 two-colored counters to create an addition problem situation and write the corresponding number sentence. Example of an addition problem: “Makenzie had 6 pencils, and her friend gave her 4 more. How many pencils does Makenzie have in all?” Possible Answer: The students place 6 two-colored counters in one “part” of the Part/Part/Whole mat and 4 two-colored counters in the other “part” of the Part/Part/Whole mat. 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Since the question asks to find the number of pencils she had in all, the students will then move the “parts” to the “whole” section. The students write the number sentence that matches the problem. Answer: 6 + 4 = 10 1.1B use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonablenes s of the solution. Using the Problem Solving Model with Joining and Separating Sets Example: Kevin had some pieces of bubble gum. His friend gave him 3 more pieces of bubble gum. Now Kevin has a total of 7 pieces of bubble gum. How many pieces of bubble gum did Kevin have to start with? Read and Understand the Problem: Ask students to restate the problem. Ask, “What are we trying to find out?” Possible Answer: “Kevin had some gum, but we don’t know how much. His friend gave him 3 more pieces. Now he has 7 pieces of bubble gum.” Making a Plan: Ask the students, “Are we joining sets or separating sets?” Ask the students, “What is the important information in this problem?” 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Possible Answer: “We can find out which number plus 3 is equal to 7 since we know 7 is the total and his friend gave him 3 pieces.” Solve: Ask the students, “How are you going to solve the problem?” Remind the students that they can draw a picture, act out the problem, look for a pattern, and/or use guess and check. Possible Answer: “I am going to get out 7 counters and take out 3 of the counters to represent the pieces of bubble gum that Kevin’s friend gave him. I am going to count what is left and that is what Kevin started with.” Look Back and Check: Ask the students, “Is it reasonable to get a smaller number than the numbers in the problem if we are joining sets?” Prompt the students to explain their thinking. Ask the students, “Is it reasonable to get a larger number than the numbers in the problem if we are separating sets?” Prompt the students to explain their thinking. Possible Answer: “I know I did this correctly because 3 + 4 is equal to 7.” Prompt the students to record in a math journal, notebook, or on a piece of paper their thoughts and explanations of the problems that are modeled. Prompt the students to write (words, pictures, or teacher dictation) an explanation of how they solved the problem. 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Example: Kevin’s Friend 1 2 3 4 Possible Explanation: “I drew 7 circles to show the 7 pieces of bubble gum Kevin had. I put 3 pieces in one box that said, “Kevin’s Friend.” The number of circles left is 4. Kevin had 4 pieces of bubble gum to start with. I checked my answer by using the addition sentence 3 + 4 = 7.” 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.3B use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3. Applying Addition Facts: Sums to 10 Use concrete models to apply basic addition facts to sums of 10. Example: Give the students a problem such as 5 + 4 = ? and prompt the students to use counters to solve the problem. Answer: 5 + 4 = 9 Use pictorial models to apply basic addition facts to sums of 10. 1.1C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems. Example: 8 + 2 = 10 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Week 2 and 3 October 8 – October 19 Learning Standards 1.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. 9 instructional days +1 days to complete assessment 1.2 The student applies mathematical process standards to represent and compare whole numbers 1.3 The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. 1.5 The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships Learning Standards Instruction By this time, classroom routines and norms have been established. It is very important to keep students accountable to these routines. If necessary, review procedures and expectations of how to work collaboratively. Teach students the daily routine. The daily routine consists of Calendar, counting, addition-subtraction, patterns, problem solving, Learning Tubs (Math Stations), small group instruction with the teacher, Vocabulary and journal reflection/writing, Calendar activities What is the name of the month? How do you know? (based on pictures, weather outside or reading the words, if able) Find out the day of the week. Discover which day is today (this is a good opportunity to review with students before and after. Count to find out the date Discover the next picture or color for the pattern. Counting tape – Continue the counting tape (growing number line). Record each day of school by adding to the growing number line. Use construction paper or other colored paper with 10 different colors to write the numbers 1-10. Once your reach 11-20, 21-30, and so on, the same number in the ones place should 2012 - 2013 Processes When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, [and] number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication. Resources enVision Math -Topic 4 TE Lessons 4-1 through 4-8. Ten Frame and Double Ten FrameTeaching Tool 5 and 6 from Teaching Tool Masters Topic 1-20. Teaching Tool 16 – Number Cards 0-11 Teaching Tool 1 - Part Part Whole Connecting cubes Literature Connection: Twenty is Too Many by Kate Duke Technology: Pearson enVision link for animated introduction – copy and paste this link: https://www.pearsonsuccessnet.com/ Math Stations Use Game “How Many Cats and Dogs” on students’ workbook P82 to provide students with an opportunity to practice prerequisite skills. Concentration Match Addition Sentences Activity – create part of an addition sentence on one card and the result on a different card. Students take turns to complete the number sentence by matching both sides cards enVision eTools Measurement – Provide standard and nonstandard tools for students to measure various items in the classroom http://www.internet4classrooms.com/ski lls-1st-mathbuilders.htm Choose the skill you want to practice Center Activities Topic 4– Teacher Resource Masters Assessment Formal or informal Students will be able to Show two sets of objects to represent parts of a number. Identify the minus sign as a way to represent subtraction or take away. Tell and act out stories about separating to find how many are left. Compare two groups to find the difference. Explain that an addition sentence has a related subtraction West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks match in colors. If you already have a number line, place the numbers above or below those numbers. After students discover the number and the color in which it should be placed, practice counting to 80 or more if your students are ready; then, continue adding 10 numbers to the count. During counting, select a student who will point to the numbers while everyone else helps count. You may vary the way students count and count to 100 when skip counting by 5s or 10s. Later on students will skip count by 2s and 3s. Daily Depositor – Continue the daily depositor by adding one straw or craft stick. Do this activity for every day of school in order to teach students the concept of place value and practice addition. Students count straws or craft sticks into bundles of 10. Place a rubber band around each group of ten 2012 - 2013 http://www.abc.net.au/countusin/games/ game8.htm Subtraction game When starting a new concept, students take home the “Home-School Connection” letter to parents from the enVision Math Texas student consumable book. Using the HomeSchool Connection letters introduces parents/guardians the concept the students are learning and encourages active parental support of mathematics. sentence that uses the same numbers Interventions/Extensions Based on student needs Product/Project Each lesson has differentiated instruction activities and homework based on the understanding of the concept by the students. The teacher will use the student work on the Quick Check to prescribe differentiated instruction. Also….. Birthday Baskets, Lines, or Train– Place each child’s name on a basket based on his or her birthday. You will do this throughout the week. In the course of the 2nd six weeks, the students will continue to compare 2 baskets at the time. At the beginning of each month, if someone is having a birthday, make sure to place the child’s name on the date to begin working on “How many more days for __________’s birthday? “ “On which day of the week is ___________’s birthday? “ Dice - Use large dice if available. Select two students, each roll one dice, then students create an addition number sentence. If available, students will work individually or in partners with dry erase markers to write down the number sentence. 1+4=5 Then students are able to create a word problem using those numbers. For example, “My friend has 1 bird and 4 more flew in; there are 5 birds total.” Use TE Meeting Individual Needs 81G and 81H to differentiate instruction for ELL, Special Needs, Below Level and Advanced students. Tier 2 – Students work in small groups or with peer tutors to complete assigned tasks. When working with peer tutors, pair High with Medium or Medium with Low; students who have an academic gap too large will get frustrated. Journal Entry Measurements Math Stations – Students will illustrate number sentences and reflections related to concepts explored in the various stations. Math Concept Board – using vocabulary, pictures, and knowledge West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Weather Graph – Discuss the weather with the children. Share with the children that this will be a class job for two children to take the thermometer outside or to the window (if appropriate) everyday and to observe, then report back to the class about the weather. Keep track of the weather by using tally marks in the appropriate weather symbol. Compare two types of weather at a time by asking “How many more days are sunny than cloudy?” How many days less is rainy than partly cloudy?” . Counting to 80 on the number line or alternate one day on the number line and then on the 100 chart. If not done so already, use Teaching Tool 21. Make the 100 chart poster size. Use highlighter tape of different colors or use different color highlighter on the 5s and 10s; then laminate. Before showing your 100 chart, distribute blank charts to the class. Allow time for the class to find and discuss patterns. Have groups present. When groups discover the 5s and 10s patterns; then, show your chart. Compose and Decompose the numbers 1 – 10 during the first 2 weeks using the Ten Frame mat or use the Five Frame to meet students’ needs. If students need more practice compose and decompose the numbers 15. Each student should have one mat (make copies and laminate). Note: later, students will use the double ten frame. You may want to copy the ten frame and the double ten frame on one sheet and then laminate. Growing Pattern +1. * ** *** **** ? 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Problem of the Day – Teacher Resource Masters (use Read and Understand, Plan, Solve, and Look Back and Check). Introduce Concept and Vocabulary Stations o Teacher – Small Group o Students in learning stations VocabularyRoutine – Frayer Model (The recommended word/words for Frayer Model is in bold letters in the key vocabulary) o Monday – Introduce the word and place word in the middle o Monday and Tuesday – Provide opportunities to experience the word, use word in context, read books, use manipulatives o Wednesday – Have students provide the definition and characteristics. Write on Frayer Model o Thursday – Have students provide examples (synonyms) and non-examples (antonyms). Journal reflection Key Vocabulary: Topic 4: Subtraction, difference, missing part, subtraction sentence, minus sign, equal sign, compare 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Subtraction: Difference from 10 1.3B use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3 Use concrete objects to model subtraction problems and write the corresponding number sentence. Use tools such as a Part/Part/Whole mat and concrete objects such as counters to model separating or comparing sets. Part Part Whole Example: Monika had 7 ants in her ant farm. If 5 of the ants got out of her ant farm, how many ants would Monika have left in her ant farm? Model placing 7 counters in the “whole” part of the mat. Place 5 of the counters on a “part” of the part-part-whole chart. 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Explain that the remaining counters represent the number of ants remaining from the “whole” and the number of ants that are left in Monika’s ant farm. Move the remaining ants to the other “part” of the Part/Part/Whole mat. Remind the students that Monika started with 7 ants, and then 5 of the ants left the ant farm. She now has 2 ants in her ant farm. Model for the students how to write the corresponding number sentence. Number Sentence: 7 – 5 = 2 Use concrete objects to create subtraction problem situations with differences from 10 and write the corresponding number sentence. Use tools such as a Part/Part/Whole mat and concrete objects such as counters to create subtraction problems. Part Part Whole Example: Provide the students with 8 linking cubes. Prompt the students to use the 8 linking cubes to create a subtraction problem situation and write the corresponding number sentence. 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Example: “Natalie had 8 seashells in a sand pail. She gave 3 of the seashells to her sister. How many seashells does Natalie have left in her sand pail?” The student places 8 linking cubes in the “whole” part of the Part/Part/Whole mat. Then the student places 3 of the linking cubes in one “part” of the Part/Part/Whole mat. The 5 linking cubes remaining in the “whole” section of the mat represent the 5 seashells that Natalie has left in her sand pail. The student writes the number sentence that matches the problem. Answer: 8 – 3 = 5 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Using the Problem Solving Model with Joining and Separating Sets 1.1B Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonablenes s of the solution. Example: Kevin had some pieces of bubble gum. His friend gave him 3 more pieces of bubble gum. Now Kevin has a total of 7 pieces of bubble gum. How many pieces of bubble gum did Kevin have to start with? Read and Understand the Problem: Ask students to restate the problem. Ask, “What are we trying to find out?” Possible Answer: “Kevin had some gum, but we don’t know how much. His friend gave him 3 more pieces. Now he has 7 pieces of bubble gum.” Making a Plan: Ask the students, “Are we joining sets or separating sets?” Ask the students, “What is the important information in this problem?” Possible Answer: “We can find out which number plus 3 is equal to 7 since we know 7 is the total and his friend gave him 3 pieces.” Solve: Ask the students, “How are you going to solve the problem?” Remind the students that they can draw a picture, act out the problem, look for a pattern, and/or use guess and check. Possible Answer: “I am going to get out 7 counters and take out 3 of the counters to represent the pieces of bubble gum that Kevin’s friend gave him. I am going to count what is left and that is what Kevin started with.” 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.1D Communicate mathematical ideas, reasoning, and their implications using multiple representation s, including symbols, diagrams, graphs, and language as appropriate Look Back and Check: Ask the students, “Is it reasonable to get a smaller number than the numbers in the problem if we are joining sets?” Prompt the students to explain their thinking. Ask the students, “Is it reasonable to get a larger number than the numbers in the problem if we are separating sets?” Prompt the students to explain their thinking. Possible Answer: “I know I did this correctly because 3 + 4 is equal to 7.” Prompt the students to record in a math journal, notebook, or on a piece of paper their thoughts and explanations of the problems that are modeled. Prompt the students to write (words, pictures, or teacher dictation) an explanation of how they solved the problem. Example: Kevin’s Friend 1 2 3 4 Possible Explanation: “I drew 7 circles to show the 7 pieces of bubble gum Kevin had. I put 3 pieces in one box that said, “Kevin’s Friend.” The number of circles left is 4. Kevin had 4 pieces of bubble gum to start with. I checked my answer by using the addition sentence 3 + 4 = 7.” 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.1C Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems Applying Subtraction Facts: differences from 10 Use concrete models to apply basic subtraction facts with differences from 10. Example: Give the students a problem such as 7 - 3 = ? and prompt the students to use counters to solve the problem. Answer: 7 – 3 = 4 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Week 4 October 22 – October 26 Learning Standards 1.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. 4 instructional days +1 days to complete assessment 1.2 The student applies mathematical process standards to represent and compare whole numbers 1.3 The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. 1.5 The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships Learning Standards Instruction Teach students the daily routine. The daily routine consists of Calendar, counting, addition-subtraction, patterns, problem solving, Learning Tubs (Math Stations), small group instruction with the teacher, Vocabulary and journal reflection/writing, Calendar activities – Refer to 1st Week Counting to 100 on the number line or alternate one day on the number line and then on the 100 chart. Processes When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, [and] number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication. Resources Math Stations enVision Math -Topic 5 TE Lessons 5-1 through 5-5. Concentration Match using enlarged ten-frames and numbers 0-10. Students take turns to match the correct ten-frame with the number Ten Frame and Double Ten FrameTeaching Tool 5 and 6 from Teaching Tool Masters Topic 1-20. Mini Ten-Frames Teaching Tool 7 Teaching Tool 16 – Number Cards 0-11 Literature Connection: Math for All Seasons by Greg Tang and/or Leaping Lizards by Stuart Murphy If not done so already, use Teaching Tool 21. Make the 100 chart poster size. Use highlighter tape of different colors or use different color highlighter on the 5s and 10s; then laminate. Alternate days counting by 5s and 10s. Compose and Decompose the numbers 1 – 10 during the first 2 weeks using the Ten Frame mat or use the Five Frame to meet students’ needs. If students need 2012 - 2013 Technology: Pearson enVision link for animated introduction – copy and paste this link: https://www.pearsonsuccessnet.com/ enVision eTools http://illuminations.nctm.org/ActivityDe tail.aspx?ID=75 Thinking about numbers using frames of 10 can be a helpful way to learn basic number facts. The four games that can Students explore the number ten with a partner using connecting or linking blocks. Each student should have a 10 connecting blocks of different colors. Students exchange connecting blocks one at a time and write an addition or subtraction sentence (i.e 9+1 = 10, 10-1 = 9) Measurement – Provide students with classroom objects and a rocker balance. Students will compare weight of the objects. Also, as an extension and if students are ready, use gram stackers Assessment Formal or informal Students will be able to Use the tenframe to show and count numbers to 10 Use the tenframe to model addition using 5 and 10 as benchmarks. Show 10 as two parts West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks more practice compose and decompose the numbers 15. Each student should have one mat (make copies and laminate). Note: later, students will use the double ten frame. You may want to copy the ten frame and the double ten frame on one sheet and then laminate. Growing Pattern +2. * *** ***** ******** ? Problem of the Day – Teacher Resource Masters (use Read and Understand, Plan, Solve, and Look Back and Check). Introduce Concept and Vocabulary Stations o Teacher – Small Group o Students in learning stations VocabularyRoutine – Frayer Model (The recommended word/words for Frayer Model is in bold letters in the key vocabulary) o Monday – Introduce the word and place word in the middle o Monday and Tuesday – Provide opportunities to experience the word, use word in context, read books, use manipulatives o Wednesday – Have students provide the definition and characteristics. Write on Frayer Model o Thursday – Have students provide examples (synonyms) and non-examples (antonyms). Journal reflection Key Vocabulary: Topic 5: Review vocabulary previously learned emphasizing subtraction, addition, more than, less than in order to hold students accountable from previous learning and to use vocabulary learned as students describe numbers up to 10 using the ten-frame. be played with this applet help to develop counting and addition skills. http://www.k5mathteachingresources.com/tenframes.html Use this website for more information on ten-frames. Also, use the ten-frames enlarged cards to build numerical fluency. Students will use more and less as they describe the numbers based on the number 5; for example, the number 7 can be thought of as 2 more than 5. When starting a new concept, students take home the “Home-School Connection” letter to parents from the enVision Math Texas student consumable book. Using the HomeSchool Connection letters introduces parents/guardians the concept the students are learning and encourages active parental support of mathematics. 2012 - 2013 to find the correct mass of a particular object Center Activities Topic 5– Teacher Resource Masters Product/Project Interventions/Extensions Based on student needs Math Stations – Students will illustrate number sentences and reflections related to concepts explored in the various stations. Each lesson has differentiated instruction activities and homework based on the understanding of the concept by the students. The teacher will use the student work on the Quick Check to prescribe differentiated instruction. Also….. Use TE Meeting Individual Needs 117E and117F to differentiate instruction for ELL, Special Needs, Below Level and Advanced students. Tier 2 – Students work in small groups or with peer tutors to complete assigned tasks. When working with peer tutors, pair High with Medium or Medium with Low; students who have an academic gap too large will get frustrated. Journal Entry Measurements Math Concept Board – using vocabulary, pictures, and knowledge First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.1C Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems Applying Subtraction Facts: differences from 10 Example: Give the students a problem such as 7 - 3 = ? and prompt the students to use counters to solve the problem. Answer: 7 – 3 = 4 1.1 E Create and use representation s to organize, record, and communicate mathematical ideas. . Use concrete models to apply basic subtraction facts with differences from 10. Use concrete objects to create subtraction problem situations with differences from 10 and write the corresponding number sentence. Use tools such as a Part/Part/Whole mat and concrete objects such as counters to create subtraction problems. Part Part Whole Example: Provide the students with 10 linking cubes. Prompt the students to use the 10 linking cubes to create a subtraction problem situation and write the corresponding number sentence. 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Possible Answer: “Manuel had 10 tennis balls in a basket. He threw 6 tennis balls over the fence. How many tennis balls does Manuel have left in his basket?” The student places 10 linking cubes in the “whole” section of the Part/Part/Whole mat. Then the student places 6 of the linking cubes in one “part” of the Part/Part/Whole mat. The 4 linking cubes remaining in the “whole” section of the Part/Part/Whole mat represent the 4 tennis balls that Manuel has left. The student writes the corresponding number sentence that matches the problem. Answer: 10 – 6 = 4 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.2C Compose 10 with two or more addends with and without concrete objects. 1.2 D Apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10 Identify Patterns in Related Addition and Subtraction Sentences Use addition facts to solve subtraction problems. Example: Use concrete objects such as 3 red linking cubes and 7 blue linking cubes to create a train of linking cubes. R R R B B B B B B B Prompt the students to represent the model using 2 addition sentences and 2 subtraction sentences. Possible Answers: Addition Sentences 3 + 7 = 10 7 + 3 = 10 Subtraction Sentences 10 – 3 = 7 10 – 7 = 3 Example: Taylor had 6 baseballs. He gave some baseballs to his friends. If he now has 2 baseballs left, how many baseballs did he give to his friends? 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Possible Solution Strategy: 6- ? = 2 2+ ? = 6 6- 2 Answer: 4 baseballs = ? 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Week 5 October 29 – November 2 Learning Standards 1.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. 4 instructional days +1 days to complete assessment 1.2 The student applies mathematical process standards to represent and compare whole numbers 1.3 The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. 1.5 The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships Learning Standards 2012 - 2013 Processes When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, [and] number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication. Instruction Resources Math Stations On the first day of November, dismantle the Ocotber calendar. Respond to various directions for removing numbers from a calendar; for example, remove the number before 10, the number that is 5 and 3 more, all the sundays, etc. enVision Math -Topic 8 TE Lessons 8-1 through 8-4. Pattern Slide game for school or home. Students’ Edition P.194. children have to look at each row of shapes and identify the pattern. Continue reinforcing the teaching of the daily routine. The daily routine consists of Calendar, counting, additionsubtraction, patterns, problem solving, Learning Tubs (Math Stations), small group instruction with the teacher, Vocabulary and journal reflection/writing, Calendar activities – Refer to 1 Week Counting to 100 on the number line or alternate one day on the number line and then on the 100 chart. st Ten Frame and Double Ten FrameTeaching Tool 5 and 6 from Teaching Tool Masters Topic 1-20. Weather Picture to make real life connection to the vocabulary of pattern. Literature Connection: Lots and Lots of Zebra Stripes: Patterns in Nature by Stephen Swinburne Technology: Pearson enVision link for animated introduction – copy and paste this link: https://www.pearsonsuccessnet.com/ enVision eTools http://www.primarygames.com/patterns/ question2.htm If not done so already, use Teaching Tool 21. Make the 100 chart poster size. In the next topic, Topic 9, students will study skip counting as a type of number pattern. Alternate counting by 5s and 10s. http://nlvm.usu.edu/en/nav/frames_asid _169_g_1_t_2.html Virtual Pattern Blocks to model creating patterns as students follow with their 100 Chart – Use Teaching Tool 21. Students will place a small counter on top of each number as they count and recognize the number. At this time, it is recommended that you have the students highlight the 5s with one color and the 10s with a different color and laminate. In partners, students ask each other for different numbers and number patterns on the chart. Students participate in a classroom or nature walk to find and illustrate patterns around us Assessment Formal or informal Students will be able to Identify and describe a repeating pattern Identify the pattern unit in a pattern to predict what comes next using shapes and colors Find a pattern to help solve a problem First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD manipulatives Compose and Decompose the numbers 1 – 10 using the ten-frame or the part part whole mat. Growing Pattern Problem of the Day – Teacher Resource Masters (use Read and Understand, Plan, Solve, and Look Back and Check). Introduce Concept and Vocabulary Stations o Teacher – Small Group o Students in learning stations VocabularyRoutine – Frayer Model (The recommended word/words for Frayer Model is in bold letters in the key vocabulary) o Monday – Introduce the word and place word in the middle o Monday and Tuesday – Provide opportunities to experience the word, use word in context, read books, use manipulatives o Wednesday – Have students provide the definition and characteristics. Write on Frayer Model o Thursday – Have students provide examples (synonyms) and non-examples (antonyms). Journal reflection Key Vocabulary: Topic 8: Pattern, repeats, predict When starting a new concept, students take home the “Home-School Connection” letter to parents from the enVision Math Texas student consumable book. Using the HomeSchool Connection letters introduces parents/guardians the concept the students are learning and encourages active parental support of mathematics. 2012 - 2013 Use various shapes and classroom objects to create own patterns Center Activities Topic 8– Teacher Resource Masters Product/Project Journal Entry Patterns Interventions/Extensions Based on student needs Each lesson has differentiated instruction activities and homework based on the understanding of the concept by the students. The teacher will use the student work on the Quick Check to prescribe differentiated instruction. Also….. Use TE Meeting Individual Needs 193E and193F to differentiate instruction for ELL, Special Needs, Below Level and Advanced students. Tier 2 – Students work in small groups or with peer tutors to complete assigned tasks. When working with peer tutors, pair High with Medium or Medium with Low; students who have an academic gap too large will get frustrated. Math Stations – Students will illustrate number sentences and reflections related to concepts explored in the various stations. Students use magazines to find patterns in our everyday life. Then create a poster showing patterns around us. Math Concept Board – using vocabulary, pictures, and knowledge First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.4A Identify, describe, and extend concrete and pictorial patterns in order to make predictions and solve problems. Not included in new TEKS Identifying Patterns Identify patterns in pictorial representations or sets of concrete objects in order to make predictions or solve problems. Example: Show the students a set of pictures or a set of concrete objects that create a pattern. Possible Pattern: Ask the students, “What pattern do the pictures/objects make? How do you know?” Possible Answer: “Butterfly, Butterfly, Flower, Butterfly, Butterfly, Flower, Butterfly, Butterfly, Flower. The pictures create an AABAABAAB pattern.” Possible Pattern: Ask the students, “How would you identify the pattern the picture/objects make?” Answer: “Each time 1 circle is added.” 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 1.1F Analyze mathematical relationships to connect and communicate mathematical ideas. Extending Patterns Extend patterns in pictorial representations or sets of concrete objects in order to make predictions or solve problems. Example: Show the students a set of pictures or a set of concrete objects that create a pattern. Possible Pattern: ** ** ? ** Ask the students, “Which object or picture comes next?” Answer: The arrow Possible Pattern: Ask the students, “What would the object or picture look like if this pattern is continued?” Answer: 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Example: Show the students a set of pictures or a set of concrete objects that create a pattern. Possible Pattern: XOTXOT?OT Ask the students, “Which object or picture is missing from this pattern?” Answer: The X 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Describing Patterns Describe patterns in pictorial representations or sets of concrete objects in order to make predictions or solve problems. Example: Show the students a set of pictures or a set of concrete objects that create a pattern. Possible Pattern: Ask the students, “How can you describe the pattern that we are making?” Answer: “ABABAB or dog, bone, dog, bone, dog bone” Possible Pattern: Ask the students, “How can you describe the pattern that we are making?” Answer: “There are 2 triangles added each time.” 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Ten Frame 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD Student Rubric, Grades K-2 My answer is correct. YES I understand the problem. I can solve the problem correctly. I can explain how I know my answer is correct. NO 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 2012 - 2013 Mathematics Assessment Rubric, Grades K-2 Part a) Correct Solution YES Criteria NO 3 2 1 Partial understanding of the concepts and the problem Limited or no understanding of the concepts and the problem Part b) Conceptual Knowledge Part c) Procedural Knowledge Complete understanding of the concepts and the problem Strategies are independently Strategies are implemented implemented with minimal assistance Inappropriate strategy selected requiring redirection Appropriate process Appropriate process Accurately applies skills Applies skills with partial accuracy Well articulated and full explanation of procedure and strategy Partial explanation of procedure and strategy Lacks explanation of procedure and strategy Uses all appropriate mathematical vocabulary Uses some mathematical vocabulary Uses little to no mathematical vocabulary Lack of process Unable to apply skills with accuracy Part d) Communication West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 First Grade Mathematics – 2nd Six Weeks West-Orange Cove ISD 2012 - 2013 Definición Hechos/ Características Ejemplos No ejemplos West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 Home – School Connection Group It!: A Skip Counting Activity - by Sally Ann Stanley Counting by 2s, 5s, and 10s may not sound like much fun. But using “skip counting” with real objects you find or make at home is a different story...it can be hours of entertainment. Because patterns are a foundation of mathematical reasoning, first graders need to spend lots of time identifying and practicing them. Here's a hands-on activity to touch and move real stuff while building abstract reasoning…paint, shoes, and coins in hand! West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 What You Need: pairs of shoes washable paint (tempera or acrylic) paper or plastic plate paper (white, newspaper, or brown wrapping paper) 50+ pennies table or any flat surface What You Do: 1. Have your child gather as many pairs of shoes from the household as he can. Ask him to line them up in pairs on the floor. With your child, count by 2s to find the total number of shoes. Then count each shoe again, counting by 1s. Ask your child if it’s quicker and easier to count by 2s or to count by 1s. Finish by counting again by 2s—the more practice the better. Roll out some paper and trace the shoes in pairs. Let your child color the pairs. 2. Pour some paint in a sturdy paper or plastic plate. If it's too thick, don't hesitate to add some water to dilute it. Have your child put her hands, palms down, in the paint and make handprints on a sheet of paper. Ask her to press down all four of her fingers and her thumb. In this part of the activity, your child is making groups of five. Have her make as many handprints as she wants (at least 10). Count by 5s to find the total number of fingers and thumbs shown. 3. Place a group of pennies on the table. Ask your child if it's faster to count the pennies by 1s, 2s, 5s, or 10s. Have him place the pennies in stacks of 10. Help him count the pennies by 10s to find the total number. Simple? Yes. But a great introduction to skip counting, an important first grade skill. So keep the paint and pennies handy. And look for everyday excuses to count in groups! Sally is an experienced educator, with over 14 years of teaching experience. In addition to teaching, she has also created educational materials, including ancillary, textbook, and test items, for Grades K-8 for major educational publishers. © Copyright 2006-2011 Education.com All Rights Reserved. http://www.education.com/activity/article/groupit_first/ West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks Weather Pattern 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 Measuring Activities for First Grade By Amy Kestly, eHow Contributor updated June 30, 2011 Provide students with the necessary tools to understand measurement. Hands-on activities allow students gain a physical understanding of the different kinds of measurement. For first graders, make it a priority to discuss the various types of measurement. First grade students can begin to learn the variety of tools used to measure, how to compare items of different size and weight, and understand time. 1. Weight o Provide objects of different weights for the students to compare, such as a thimble, book, crayon, cup and spoon. Discuss how to use pounds and ounces to measure the weight of solid objects. Ask students to line up the objects in order of lightest to heaviest. Have the students check for accuracy by measuring the objects with a digital or balance scale. Help students gain an understanding of the actual weight of different objects. Ask students to use a balance scale, weight set and provided objects. Instruct the students to select an object that weighs a particular weight, such as 1 lb., 5 oz.. To balance the scale, they must place the correct weights on one side of the scale and place the object with the matching weight on the other side 2. Distance and Height o Teach the class to compare distances by providing each student with a pencil, book and a 2-foot piece of string. Each item is the same size for every student. Ask the students to measure the distance from one location in the classroom to another location using the three different objects. For example, ask them to measure the distance from the teacher's desk to the West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 classroom door. The students use the objects to determine the distance, such as 15 pencils, 10 books or two pieces of string. Test the activity before performing in class to ensure all distances are whole numbers. As an ongoing activity throughout the school year, measure each student's height once per month. Create a chart to hang in the classroom with each student's name and a column for her height. Ask students to use superlative words to describe which two students are the tallest and shortest. Create comparisons among students using "taller" and "shorter." 3. Liquids o Discuss how liquids take the shape of the container they are in, but the amount does not change as it moves from container to container. Dye water using food coloring and select different containers, such as a water bottle, mixing bowl, milk jug and plastic cup. Using a measuring cup, ask students to pour a given amount of liquid into all the containers and compare them. Continue the activity by asking students to pour different amounts of liquid into each container. Ask the students to compare and contrast how much liquid it takes to fill each container. Review the different ways to measure liquids by providing students with utensils or containers that measure the following: teaspoon, tablespoon, cup, liter, quart, gallon, pint and ounce. Divide the students into small groups of two or three and give each group measuring utensils and a container of water. Provide a worksheet with the following questions and ask students to convert the measurements using the utensils and water: How many teaspoons are in a cup? How many quarts are in a gallon? How many cups are in a pint? How many ounces are in a cup? How many teaspoons are in a tablespoon? How many ounces are in a liter? 4. Time o Help students gain an understanding of time by asking them to predict time intervals. Cover or remove any clocks in the classroom. Have students raise their hand when they think 10, 15, 30 or 45 seconds have passed. Repeat the intervals until students have a solid understanding of time intervals. Extend the activity by asking how much time will pass before the next class, lunch, recess or the end of the school day. Set a timer and see how many students correctly guess the answer. Practice telling time by reading digital and analog clocks. Have students create a timeline of a typical school day, listing about five to eight events that take place during the day. Next to the event, have each student draw an analog and digital clock with the correct time associated with each event. Read more: Measuring Activities for First Grade | eHow.com http://www.ehow.com/info_8669763_measuring-activities-firstgrade.html#ixzz1YKqtOr7Z West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 Math Facts: Crack the Mystery Pasta Code by Barbara Sweet Trying to find another way to make practicing math facts fun? Here's a simple activity that gives your child the chance to break a "secret code" (in pasta form) using only a few clues. Can she solve these math mysteries? This game is a fun and easy way to practice addition and reinforce basic math concepts. What You Need: Large bowl Variety of different pasta shapes (uncooked) Laminated piece of tag board or cardstock inside of a sheet protector Erasable marker Small scoop Paper napkins Some blank paper and a pencil West-Orange Cove ISD First Grade Mathematics – 2nd Six Weeks 2012 - 2013 What You Do: 1. Fill the bowl with a variety of uncooked pasta shapes. 2. Attach a sample of each shape to the laminated piece of tag board. With the erasable marker, label the tag board “Pasta Values”. 3. Create a pasta code, assigning one numeric value to each different shape. For instance, if you have three different pasta shapes, the first shape can have a value of 2; the second, a value of 4; and the third, a value of 6. 4. Once the game is set up, it's time to play. With the scoop, have your child scoop some of the pasta into a napkin. 5. Have her use the "Pasta Value" code to find out the total value of the pasta she has on her napkin. If she is not able to mentally calculate it, give her a piece of paper and a pencil for her to write the problem out. 6. After a few rounds, change the value of the pasta to give her more puzzles to solve! As your child progresses, make the game harder by telling her the total value and only one of the pasta values to see if she can figure out what the other values are. Barbara Sweet has a Master's degree in Education and has taught Spanish in grades K-12, as well as a variety of undergraduate college courses. She is also the mother of a nine-year-old son. © Copyright 2006-2011 Education.com All Rights Reserved. http://www.education.com/activity/article/pasta-mystery-number/ West-Orange Cove ISD 2013 First Grade Mathematics – 2nd Six Weeks 2012 - Money Activities on a Hundred Chart Lay 10 dimes on the hundred chart. What pattern do you see? Lay 20 nickels, 4 quarters, or 2 half dollars. Describe the patterns. (Example: 4 quarters – a quarter is placed on 25, 50, 75, and 100. The pattern is skip counting by 25. There are 4 quarters in $1.00.) Lay the following coins on the hundred chart and count their total value. o 1 quarter, 1 dime, and 1 penny o 2 quarters, 2 dimes, and 1 nickel o 1 quarter, 3 nickels, and 2 pennies o 4 dimes, 5 nickels, and 3 pennies o Make up some more to try . . . Lay coins on the hundred chart and skip count to show different ways to make 36¢. o 1 quarter, 1 dime, 1 nickel, and 1 penny o 7 nickels and 1 penny o 3 dimes, 1 nickel, and 1 penny o and so on . . . Count change on the hundred chart. Place a marker on 76. Explain that you have spent 76¢ at the store. You gave the cashier $1. Lay coins (pennies and dimes) on the chart to help you count up to tell how much change you will receive. Lay a penny on 77, 78, 79, and 80. Lay a dime on 90 and 100. Then count 77, 78, 79, 80, 90, $1. Touch the dimes and pennies to count 10, 20, 21, 22, 23, 24 – I will get 24¢ back as change. Baltimore County Public Schools 2004 Office of PreK-12 Mathematics West-Orange Cove ISD 2013 First Grade Mathematics – 2nd Six Weeks 2012 -