Kindergarten Unit 7 Topic gradeletter (e.g., 1A) Big Idea(s) What enduring understandings are essential for application to new situations within or beyond this content? Essential Question(s) What questions will provoke and sustain student engagement while focusing learning? Enduring Standard(s) Which standards provide endurance beyond the course, leverage across multiple disciplines, and readiness for the next level? We Are the Greatest! We can count and match to compare two groups of objects to see if they are more than, less than, or the same as another group. Counting tells how many things are in a set. Counting objects in a different order does not change the quantity. Each successive number name refers to a quantity that is one larger. How can we tell if one group is greater than, less than, or equal to another group? Why wouldn’t we count something more than once? What is an efficient way to count an amount greater than ten? How do you know if a group has more than another group without counting? How do you know if a group has less than another group without counting? How do you know if you have more than or less than someone else? Enduring Understandings Counting (verbal sequences) Aspect of number (word, symbol, quantity) Standards for Mathematical Practice 1. Make sense of problems and persevere in solving. Students make sense of problems involving rote counting, recognizing counting patterns, and identifying quantities of items. 2. Reason abstractly and quantitatively. Students demonstrate abstract reasoning by writing numerals to represent an amount of objects counted, creating a set of objects to match a given number, and selecting the correct number card to continue a counting sequence. 3. Construct viable arguments and critique the reasoning of others. Students begin to develop the ability to reason and analyze situations by considering questions such as, “How do you know you counted correctly?” and by asking classmates to explain how they found their answers. 4. Model with mathematics. Students use objects, numbers, and drawings to represent quantities of objects and counting sequence. 5. Use appropriate tools strategically. Students will use counters, connecting cubes, ten frames, and technological materials to explore counting and cardinality. 6. Attend to precision. Students will build their mathematical vocabulary by expressing their reasoning using words with regard to Kindergarten Unit 7 quantity and cardinality. 7. Look for and make use of structure. Students will begin to look for patterns and structure in the number system by working with dot cards, number cards, and ten frames. 8. Look for and express regularity in repeated reasoning. Students will recognize repetitive actions in counting by realizing that when joining one more object to a pile, the new amount is the next number in the count sequence (4 cubes and 1 more cube is 5 cubes). Standards for Mathematical Content K.NBT.1 Compose and decompose numbers from 11 to 19 into tens and some further ones, e.g. by using objects and drawings, and record each composition or decomposition by a drawing or equation (e.g., 18=10+8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine others. K.CC.5 Count to answer “how man?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects. K.CC.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies (include groups with up to ten objects). K.CC.7 Compare two numbers between 1 and 10 presented as written numerals. Supporting Standard(s) Which related standards will be incorporated to support and enhance the enduring standards? Instructional Outcomes What must students learn by the end of the unit? K.CC.3 Write numbers from 0-20. Represent a number of objects with a written numeral 0-20 (0-20). K.CC.4 Understand the relationship between numbers and quantities; connect counting to cardinality (0-20). a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. b. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. c. Understand that each successive number name refers to a quantity that is one larger. I can… I can show that numbers 11-19 are composed of 10 ones and some more ones. I can compose numbers by drawing an equation. I can decompose numbers by drawing an equation. Kindergarten Unit 7 Performance Expectations I can count up to 20 objects that have been arranged in different ways. I can count up to 10 objects when they are scattered around. I can match objects with a number name. I can match a number name with objects. I can conclude that the last number I say shows how many objects are in a collection. I can count a number of objects when someone tells me a number. I can describe greater than. I can describe less than. I can describe equal to. I can tell is a group of objects is greater than, less than, or equal to another group of objects. I know the quantity of each numeral. I can tell if a written number is greater than, less than, or equal to another written number. Students who demonstrate understanding can… What must students be able to do by the end of the unit to demonstrate their mastery of the instructional outcomes? Essential Vocabulary What vocabulary must students know to understand and communicate effectively about this content? Essential Vocabulary Equal Equal to Greater than Less than Row Equation Supporting Vocabulary Common Core Glossary Tens Ones Compose Decompose Numeral http://www.corestandards.org/Math/Content/mathematicsglossary/glossary Resources/Activities Resources/Activities What resources could we use to best teach Kindergarten Unit 7 this unit? Everyday Math: Tens and Ones with Craft Sticks teaching cards # 9 pg. 113 Origo: Number Book Number jumping crickets pg 31 My Track, Your Track pg 60 Origo: Beginning Processes Book Winner Takes All pg. 58 Every Day Counts: Clip collection activities Daily Depositor activities K-5 Teaching Resources Website: K.CC.5 Picture, Numeral Word Match Cards (0-10) Domino Jigsaws Number Jigsaws Counting Cup Playdough Numbers K.CC.6 Greater Than/Less Than K.CC7 Greater Than Less Than Teaching Number Sense by Chris Confer Chapter 13- The pocket game pg. 64