Grade: 2nd Ready Lesson 4: Understand Even and Odd Numbers Standards: 2.NBT.A.2 2.OA.C.3 Vocabulary How will counting within 1,000 help me to develop fluency in my number sense and awareness? 2.OA.C.3 What do I know about even and odd numbers? How can pairing objects be used to show whether a number is even or odd? Big Idea 2.NBT.A.2 Counting the sequence of numbers provides students with an understanding between counting and the operations of addition and subtraction (e.g., adding 2 = counting forward, while subtracting 2 = counting backward). Learning Targets Essential Questions 2.NBT.A.2 How does skip counting by 5s, 10s, and 100s, develop number sense and awareness? How will finding a number pattern be helpful? Week: 6 Count within 1000; skip-count by 5s, 10s, and 100s. Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. • • • • • • • • • backward/ forward count back/count on group pattern repeated addition rule skip counting even odd Math PracticesSMP #1 - Make sense of problems and persevere in solving them. SMP #3 – Construct viable arguments and critique the reasoning of others. SMP #7 - Look for and make use of structure. Students must know the meaning of even and odd numbers. Students must know that any even number can be split into two equal groups. Students must understand how skipcounting can help them with other operations and patterns (e.g., skip counting by 10 is the same as adding 10). Students must determine if a group of objects is even (by pairing objects, counting by twos, or another strategy). Students must determine if a group of objects is odd (by pairing objects, counting by twos, or another strategy). Students must be able to skip-count verbally by 5s, 10s, or 100s from any given number within 1,000. Students must write an equation to express an even number as a sum of two equal addends. Rationale: By finding patterns in skipcounting by 5s, 10s, and 100s, students will develop flexibility in thinking and number sense. Second Grade students count within 1,000. Thus, students “count on” from any number and say the next few numbers that come afterwards. Second grade students also begin to work towards multiplication concepts as they skip count by 5s, by 10s, and by 100s. Although skip counting is not yet true multiplication because students don’t keep track of the number of groups they have counted, they can explain that when they count by 2s, 5s, and 10s they are counting groups of items with that amount in each group. 2.OA.C.3 Numbers can be classified as odd or even. If a number is even, it can As teachers build on students’ work with skip counting by 10s in Kindergarten, they explore and discuss with students the patterns of numbers when they skip count. For example, while using a 100s board or number line, students learn that the ones digit alternates between 5 and 0 Strategies Skip Counting: Use a hundred chart to find patterns for skip counting. Ask students to count by tens starting at 17 and stopping at 100. So students would say 17, 27, 37, 47, 57, 67, 77, 87, 97. On a hundreds chart, color in all the numbers you say when you count by two and start with two. Ask your students questions like; Will you always get an even number? What happens when you skip count by 5's? Start and Jump Numbers: be split into two equal parts. Understanding the concepts of even and odd numbers is important to later concepts of division and prime numbers. TNCore Task: Task 5: Pencils Journal Task when skip counting by 5s. When students skip count by 100s, they learn that the hundreds digit is the only digit that changes and that it increases by one number. Second graders apply their work with doubles to the concept of odd and even numbers. Students should have ample experiences exploring the concept that if a number can be decomposed (broken apart) into two equal addends or doubles addition facts (e.g., 10 = 5 +5), then that number (10 in this case) is an even number. Students should explore this concept with concrete objects (e.g., counters, cubes, etc.) before moving towards pictorial representations such as circles or arrays. Display a hundreds chart so students can see the numbers. Have students make a list of numbers beginning with 4 and skip count by 5. The 4 is called the “start number” and the 5 is called the “jump number”. Ask the students what patterns they see. #1 Tim counted from 0 to 50 by 5s. Carl counted from 0 to 50 by 10s. What numbers did they both say? Choose a number between 1 and 10. Show what the next five numbers will be if you skip count by 5s from this number. Repeat with other starting numbers. #2 Take a handful of counters. Group the counters in pairs. How many do you have? Is this an even or odd number? How do you know? Repeat with other handfuls of counters. Is 16 an even or an odd number? Prove your answer. Number Talks by Sherry Parrish Second Grade Number Talks Pages 119-145 Activities Activities & Student Resources for this standard: 2.NBT.A.2 Graphic Organizers in Math: Put a rule (i.e. Skip counting by 3 in the center of a Frayer Model Games Roll a Pattern: Give students a number to use for skip counting, such as 2, 5, 10, 25, or 100. Have them generate a starting number by Books Skip Counting 512 Ant on Sullivan Street - Carol Losi (doubling) 98, 99, 100. Ready or Not, Here I Come Teddy Slater (skip counting of various Additional Support Games, Lessons, Student Resources, & Videos for this standard: https://www.illustrativemathematics.org/ content-standards/tasks/620 http://maccss.ncdpi.wikispaces.net/file/vie (Appendix B). Have students make different patterns that follow the skip counting rule. http://www.polkfl.net/staff/grants/pefgra nts/documents/catalogs/s arasesser.pdf Circle Counting Count by Fives Game Count by Tens Game Counting Collections Skip Counting Cards 2.OA.C.3 Second graders apply their work with doubles to the concept of odd and even numbers. Students should have ample experiences exploring the concept that if a number can be decomposed (broken apart) into two equal addends or doubles addition facts (e.g., 10 = 5 +5), then that number (10 in this case) is an even number. Students should explore this concept with concrete objects (e.g., counters, cubes, etc.) before moving towards pictorial representations such as circles or arrays. http://livelaughlovesecon d.blogspot.com/2012/07/ even-and-odd-appletrees.html (SO GOOD!) http://www.educationwo rld.com/a_lesson/mathodd-even-game.shtml rolling a number cube or picking a number out of a card deck. Have students complete their number pattern. Place Value Dice Roll Have students roll a threedigit number with place value dice. Have students choose a ten or hundred to count forward to or backward from. Pattern Riddles: Have students write riddles about patterns for partners to guess. For example, my pattern skip counts by 10 and has 63 in it. What other numbers could be in my pattern? This should be an ongoing activity and should be completed during morning work and not necessarily during the mathematics class. numbers) Arctic Fives Arrive - Elinor Pinczes (skip counting by 5s) Double the Ducks - Stuart Murphy (doubling) King's Commissioners - Aileen Friedman (multiplication, skip counting) Math Appeal - Greg Tang (grouping and skip counting) Odd/Even Even Steven and Odd Todd - Kathryn Cristaldi Missing Mittens - Stuart Murphy (odd and even) My Even Day – Doris Fisher Number Ideas Through Pictures Mannis Charosh (even,square/triangular numbers) Ocean Counting: Odd Numbers - Jerry Pallotta Odds and Evens - Thomas O'Brien One Odd Day - Doris Fisher (odd and even numbers) Underwater Counting: Even Numbers Jerry Pallotta Manipulatives *Unifix Cubes *Base Ten Blocks w/CCSSMathTasks-Grade2.pdf Even Odd Scoop *Ten Frames Even Odd Song *Rekenreks *Dice *Playing Cards Name: ___________________ Math Choice Board Spiral Review Week Six Directions: Complete the whole board. Staple all work to the pack of this page. Good Luck! Addition Missing Addend Odd or Even Number Is 14 an odd or even number? Prove your answer! 10 + 12 = 7 + ____ = 12 Counting Word Problem Subtraction Count by 10s. Start at 40 to count to 100. Cameron has 9 marbles. Stacey has 4 marbles. How many marbles do they have in all? 14-7 = ____ Word Problem Money Denise has 12 crayons. She gave 5 away. How many crayonsdoes she have now? How much is 2 dimes, 2 nickels, and 2 pennies? Geometry Draw a hexagon. How many sides does a hexagon have?
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