MATH REGIONAL PRIORITIZED CURRICULUM KINDERGARTEN

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1 Mathematical Reasoning (Woven throughout the curriculum) 1.1.1B 1.B.1A Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 1. Can you tell me how you figured it out? 2. Can you draw a picture to show how you figured it out? Rote Counting How is counting useful to you? 2. How do patterns help you count? (These skills should be reinforced throughout the curriculum>) Use models, facts, and relationships to draw conclusions about mathematics and explain their reasoning Use patterns and relationships to analyze mathematical situations Explain their answers and solution processes Counts by 1 s, 5 s, 10 s to 100 Recognize simple number sequences Relate counting to repeated patterns. (These ideas should be used throughout the curriculum.) introduction and problem solving of skills/concepts introduction and problem solving of skills/concepts (Seasonal counting books, theme related counting books, etc.) Math Their Way Summary Newsletter calendar activities pp and counting activities pp Beginning number concepts activities from Developing Number Concepts Using Unifix Cubes pp Countdown to the 100th day of school Counting rhymes and songs Use a number line to count forward and backward Oral counting (ex. Count by 1 s, 5 s, etc. while waiting in line) Can students explain their thinking? Math Their Way Can students count orally to 100 by 1 s, 5 s, 10 s? If not, how far can they count? Math Their Way Kindergarten: Revised, Summer

2 Number Recognition Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 3.2.1A 1. Why is recognizing the number symbols important? 2. Where do we see numbers? 3. What do numbers tell us? Identify and read numbers through 31 Proper identification of numbers in all situations introduction and problem solving of skills/concepts Number Bingo Roll large numeral dice and show with manipulatives Math Their Way Summary Newsletter numeral recognition activities pp Play Go Fish or Old Maid with regular playing cards Ace 10 Concentration with Ace-10 playing cards Can students identify the numerals 0 31? Math Their Way Numeral Writing How does numeral writing help you communicate mathematically? Develop gradually the ability to write the numerals 0-9 introduction and problem solving of skills/concepts Numeral writing sheets Make counting books Math Their Way Summary Newsletter numeral writing activities pp Numeral Dice Toss (See Math Their Way Summary Newsletter p. 6.7) Form numerals with playdough, yarn, macaroni, clay, popcorn, etc. Write in shaving cream, sand, salt, pudding, etc. Can students write the numeral 0 9? Math Their Way Kindergarten: Revised, Summer

3 Number Sets & Numerical Relationships Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 1. Why is it important to know the number of objects within a group? 2. How does the number of objects in one group compare to that of another? 3. Can you put these numbers in order from smallest to biggest? Count sets containing 1 10 objects Develop the idea that if two sets can be matched or put into one-toone correspondence, then they are equivalent. Develop the idea that the last number counted in a set indicates how many things there are in a set (cardinal number). Do this gradually, first for the numbers 1 5, then for the numbers Use ordinal number names from first to tenth. Develop the concept of first, middle, and last. Recognize the order of whole numbers. Order sets of objects from smallest to largest or visa versa introduction and problem solving of skills/concepts Provide repeated opportunities to proceed from concrete manipulation to pictorial and symbolic representation of numbers Use a variety of math manipultives to show number sets Number Hunt look for numbers in the environment Number activities in Math Their Way pp and Summary Newsletter pp , Developing number concepts activities in Developing Number Concepts Using Unifix Cubes pp.1-17 Act out oral word problems, counting stories and poems Fingerplays Make counting books Grab Bag Unifix Cubes Game - pull out a handful of cubes and count Cut out pictures of numbers from magazines Spin to Win Unifix Cubes game spin and count out that many cubes Play War with playing cards Ace 10 Observe numerals (names for numbers) in the environment. Explore, through counting, the cardinal numbers of a multitude of sets and collections of real objects, such as boys and girls, cookies, milk cartons, toy trucks, mittens Math Their Way Kindergarten: Revised, Summer

4 Math Language B Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time 1. What word would you use to describe these objects in relation to each other? 2. Where do we use math language? Develop an awareness of the concepts, words, and symbols related to numbers as used in daily living. Positional terms, such as: between, above, under, upper, lower, middle, left, right, beside, etc. Comparative terms such as: more, less, big, small, medium, large, tall, short, etc. Develop the concept of first, last and middle. introduction and problem solving of skills/concept Discuss and use the concepts before, after, following, and between in classroom conversations. Illustrate such ideas as A whole is more than a half ad A half is less than a whole Simon says and other games Stories, songs, poems, fingerplays and rhymes Act out oral work problems using positional terms Positional Lotto Use comparative and positional terms with graphing activities Given a group of objects, find one more or one less Comparing activities in Math Their Way pp Math Their Way Kindergarten: Revised, Summer

5 Estimation Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 1. Where do you use estimation? 2. Why is it important to estimate? 3. How do you make an estimate? Develop a variety of estimation skills and strategies. Recognize situations in which only an estimate is required. introduction and problem solving of skills/concept Participate in activities which involve anticipating outcomes, such as stacking blocks until the pile falls or how far up the cup or bowl water will be when ice melts Practice estimating (guessing sizes), using phrases like about as long as, almost as long, wider than Weekly estimating jar activity predict the number of objects (e.g., beads, buttons, and blocks) in a container & count to check the prediction. Use string or arms to estimate and then measure the circumference of trees, pumpkins, etc. Estimate how many objects or scoops of rice, beans, etc. it would take to fill a particular container. Is it too much, too little, or just right when we dump it into this other container? Math Their Way Summary Newsletter estimating activities pp How reasonable are their estimates? Can they use reasonable strategies? Math Their Way Kindergarten: Revised, Summer

6 Patterns Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 1. Where are patterns in your environment? 2. What are some different kinds of patterns? 3. How can you extend this pattern? Recognize, describe, extend, and create a wide variety of simple patterns Use a variety of manipulative materials to explore patterns. Recognize patterns in nature, art, music, and literature. introduction and problem solving of skills/concept Engage in pattern forming activities with colored blocks, puzzles, buttons, pattern blocks, square tiles, etc. Pattern Walks observe patterns in environment Describe patterns they see around them in a variety of ways (color, letters, and attributes) Follow direction to copy a pattern. Explore creating and extending patterns with a variety of manipulatives Create sound patterns with hand clapping, foot stamping, thigh slapping and finger snapping Examine quilt patterns for different geometric shapes Calendar Activities use different shapes on the calendar for numbers (apples & pumpkins, red leaves and orange leaves, etc.) Have students bring in examples of patterns in their environment Make paper chain patterns, colored pasta necklaces Pattern activities in Math Their Way pp and Summary Newsletter pp Pattern activities in Developing Number Concepts Using Unifix Cubes pp Can they identify simple patterns in a variety of ways? Can the student predict what comes next in a pattern? Can they copy and extend a pattern? Kindergarten: Revised, Summer

7 Geometric Shapes Guiding Questions Essential Knowledge/Skills Classroom Ideas Assessment Ideas Time 1. Where do you see these shapes in the environment? 2. How is one shape alike or different from another? Identify and reproduce the following shapes: Square, Circle, Triangle, Rectangle, Oval, Diamond Describe simple relationships among two-and three- dimensional geometric shapes. Use physical materials, pictures, and diagrams to explain mathematical ideas and processes and to demonstrate geometric concepts. Position words (top, bottom, side, etc.) introduction and problem solving of skills/concept Create geometric pictures and designs from cutout shapes and pattern blocks. Introduce names of shapes and look for examples of in the classroom and at how (Shape Hunt). Use concrete materials to model spatial relationships. Fold various geometric shapes (circles, squares, and rectangles) into halves. Collect boxes, bricks, and other three-dimensional shapes. Relate counting activities to geometric activities, such as finding out how many faces, edges, or corners a cracker box has. Use a geoboard to make different shapes & discuss the fact that position and orientation of shapes do not change their names Grab Bag - Identify an unseen shape Shape Poems, rhymes, stories Color & Shape Bingo Explore the fraction concept by introducing the words whole and half of geometric shapes introduced. Understand positions described by top, middle, bottom, inside, and outside while building with blocks. Participate in sharing experiences that show that a whole (such as a cake, an apple, or an orange) may be divided into equal parts. Can students correctly identify geometric shapes? Kindergarten: Revised, Summer

8 Graphing Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time 1. How do you make a graph? 2. What can a graph tell you? 3. When will you ever use a graph? Gather data, interpret, construct pictographs and manipulative graphs Construct charts and graphs to display and analyze real-world data (ex. No. of boys/girls in room, hot lunch/ cold lunch, busses/walkers/bikers, etc.) Discuss graph data in terms of most, least, more than, less than, the same. Look for patterns in picture, bar and concrete graphs. introduction and problem solving of skills/concept Use a real graph, picture graphs, and symbolic graphs. Introduce the use of blocks and other concrete objects to represent real-world data Use large graphing mats (shower liners, old window blinds, etc.) and manipulatives to graph information Real Life Graphs: -Boys / Girls -Shoes -Clothing -Eye Color -Leaves Pictographs: -Favorite foods -Pets -Favorite ways to eat strawberries Graphing Across the Curriculum (Scholastic) Graphing activities Math their Way pp and Math Their Way Summary Newsletter pp People graphs according to gender, eye color, hair color Have children line up to show their preferences of things like different types of juices, games, types of apples, etc. and use manipulatives to represent the children s preferences Gather data relating to familiar experiences by counting, tallying, and using stickers, post-it notes, pictures, etc. Can they interpret the graph and answer questions? Kindergarten: Revised, Summer

9 Sorting and Classifying Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time Why do these objects go together? 2. Can you put them together in another way? 3. How many different ways can we sort these objects? 4. Can you guess how these were sorted? Identify attributes of objects Explain likeness and differences (color, shape, size ) Describe their rationale for grouping or sequencing objects in a given manner. describe how they got answer (ex. math journals) Can they explain why they put certain objects together? introductio and problem solving of skills/concepts Group similar objects together and explain why you put them together Use collections of junk have students bring in junk to add to junk boxes or treasure boxes Integrate the comparison of sets and counting with other activities such as cooking, housekeeping, story game and block building. Participate in sorting and classifying activities with blocks, toys, and cookies, observing likeness and differences. Sorting and classifying activities Math Their Way pp and Summary Newsletter pp Kindergarten: Revised, Summer

10 Measurement (Length, Width, & Weight) Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time 1. How do you know how long something is? 2. Where will you ever use measurement? 3. Which is heavier? Lighter? Shorter? Longer? 4. How long is a minute? Measure and compare length, mass, temperature, value and capacity using non-standard units of measure. Understand the attributes of length, capacity, weight, and temperature. Use terms such as: bigger than, greater than, same as, less than, more than, equal to, longer than, taller than, smaller than, shorter than, as long as. introduction and problem solving of skills/concepts Participate in activities that involve weighing, first in the hands and then on balance scales. Use and egg timer, or and hourglass, to compare the duration of eating time, story time, (e.g. takes longer, less time than or as long as) Explore various non-standard units of measure, such as blocks, books, and handfuls for capacity: and faucet drips for time. Extend quantitative comparisons in many different situations to terms such as bigger, greater than, same size as, less than, equal to. Provide a variety of experiences from students to use such terms as heavier or lighter than and weighs more, less, or the same as, etc. Compare the length, height, and width of various objects such as ribbons, toys, blocks, and of other children using their hands and feet Use sand or water to compare the capacity of containers Measurement activities in Math Their Way pp and Summary Newsletter pp Estimate in terms of less than, bigger than, greater than, equal to, more, the same as etc. Kindergarten: Revised, Summer

11 Operations A Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time 1. How do you use addition and subtraction in your daily life? 2. Why are these operations important? 3. How are addition and subtraction related? Understand the concept of addition and subtraction operations using manipulatives Develop strategies for selecting the appropriate computational and operational methods in problem solving. Develop readiness for single-digit addition and subtraction facts. Understand the commutative and associative properties. Identify +, - and = symbols describe how they got answer (ex. math journals) Can students accurately join 2 sets? Can students act out introduction simple addition & subtraction and problem solving of skills/concepts stories & problems using Use manipulatives to act out math stories, poems, manipulatives? rhymes, songs Investigate various numerical problems that arise in the classroom, such as attendance, book orders, and field trip participants Sets of objects (such as a bag of candy or a set of Math Their Way blocks) can be divided into equal parts, beginning with halves, without the total number of objects changing. Practice the skill of counting on. Put two simple sets together to produce a new set, the cardinal number of which is less than 10. Engage in numerous individual manipulative experiences to perceive that the cardinal number of a set remains the same no matter how the elements are arranged. Number activities in Math Their Way pp and Summary Newsletter pp Beginning addition & subtraction activities in Developing Number Concepts Using Unifix Cubes pp Act out oral number stories Kindergarten: Revised, Summer

12 Time What does the calendar tell us? 2. How do you know when your favorite show is on? 3. Why do we need to know what time it? 4. What would happen if all the clocks were broken? Guiding Questions Essential Knowledge Skills Classroom Ideas Assessment Ideas Time Identify parts of a calendar Name days of the week Understand concept of yesterday, today and tomorrow Tell time to the hour on both digital and analog clocks describe how they got answer (ex. math journals) Can they show a given time on their clock? Can they read the introduction clock to the hour? and problem solving of skills/concepts Use student make manipulative clocks Observe the clock for daily specials, lunch, dismissal Tell students It is 11:00, time to clean up not It is time to clean up Calendar use Judy clock to show what time special (gym, library, etc.) are that day Money What do we use to get the things we need? 2. Why is money important? 3. What are all the different kinds of money? Recognize and state value of penny, nickel, dime describe how they got answer (ex. math journals) Can students identify coins and can they name coin values? introduction and problem solving of skills/concepts Play money activities, classroom store Put coins in a bag and have them identify by feeling Have students shop for items correlating with your theme money activities in Math Their Way summary Newsletter pp Students earn play money for good behavior Calendar show with money the day of the month Kindergarten: Revised, Summer

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