Subject Area: MATHEMATICS KINDERGARTEN. Content & Substance

Transcription

1 s 1 st What is a number? How do we make a number? What does a number tell us? NUMBER SENSE Associates verbal names, written word names, and standard numerals with whole numbers Counts up to 5 or more objects using verbal names and one-to-one correspondence. Reads and writes numerals to 5 or more. Compares sets of up to 5 objects using the words more than, less than, and equal to. MA.A : Required: How can you show ways to make 5? Relative size of whole numbers between 0 and 5 Uses numbers and pictures to describe how many objects are in a set (to 5 or more). Understands the concept of zero and MA Version 1 August

2 s 1st NUMBER SENSE identifies when a picture shows zero objects. Objects to represent whole numbers Uses sets of concrete materials to represent quantities to 5 or more, given in verbal or written form. MA.A Why do we sort things? ALGEBRAIC THINKING Sorting and classifying Identifies simple patterns of sounds, physical movements, and concrete objects. Sorts and classifies objects by color, shape, size or kind. Identifies objects that do not belong to a particular group (ex: blue lid in set of red lids). MA.D Version 1 August

3 s 1 st What is a shape? What shapes do we find in our world? Why is it important to know top from bottom? Why is it important to know left from right? GEOMETRY & SPATIAL SENSE GEOMETRY & SPATIAL SENSE 2-Dimensional shapes Identifies 2 dimensional shapes (circles, squares, rectangles, triangles) similarities and differences Concepts of spatial relationships Understands spatial relationships (ex: in/out; above/below; over/under; top/bottom/middle) Identifies left and right hand MA.C MA.C MA.C What is the difference between close or far away? Geometric transformations Follows directions to move or place an object in relation to another (ex: next to, to the right of) MA.C NUMBER SENSE Associates verbal names, written word names, and standard numerals MA.A Version 1 August

4 s 1 st How can your fingers help you to count up to ten? How can you tell what position you are in line? with whole numbers Count up to 10 or more objects using verbal names and one-to-one correspondence. Reads and writes numerals to 10 or more. Uses numbers and pictures to describe how many objects are in a set (to 10 or more). Identifies ordinal numbers to the tenth. Identifies cardinal numbers indicate quantity to 10. NUMBER SENSE Relative size of whole numbers between 0 and 10 Orders numbers to 10. Objects to represent whole numbers Uses sets of concrete materials to represent quantities to 5 or more, given in MA.A MA.A Version 1 August

5 s verbal or written form. Whole numbers can be represented in a variety of equivalent forms Represents equivalent forms of the same number, up to 10 or more, through the use of concrete material. MA.A nd What is a pattern? ALGEBRAIC THINKING Geometric symbols to represent unknown quantities Understands that symbols can be used to represent missing or unknown quantities (ex: fill in the missing number in 5, 6,, 8). MA.D What are patterns in our world? What patterns can you find in the classroom? Patterns, relations, and functions Identifies simple patterns of sounds, physical movements, MA.D Version 1 August

6 s and concrete objects. Sorts and classify objects by color, shape, size or kind. Identifies objects that do not belong to a particular group 2 nd ALGEBRAIC THINKING Patterns and relationships using symbols and objects Predicts and extends existing patterns using concrete objects. Uses concrete objects to create a pattern Transfers patterns from one medium to another (actions, sounds, or concrete objects) MA.D MA.D What is a graph? How do we read a graph? What does a graph tell us? DATA ANALYSIS & PROBABILITY Analyzes data using simple graphs and charts Understands how to display answers to MA.E Version 1 August

7 s How can a graph help us? questions involving two categories or choices using concrete materials or pictures on a graph or chart. Interprets data exhibited in concrete or pictorial graphs. Range, mode in data Uses concrete materials, pictures, or graphs to show range and mode. MA.E nd What is the chance of a tiger visiting you at your home? What is the chance of a coin landing on the head side? DATA ANALYSIS & PROBABILITY Analyzes real world data Collects, displays data, and makes generalizations (ex: determine number of pockets on 5 children, predict how many pockets 10 children will have) Chance and probability MA.E Version 1 August

8 s Understands the likelihood of a given situation. (ex: Could a lion come visit you? Will it rain today?) Participates in games or activities dependent upon chance (ex: spinners or number cubes) MA.E Predictions Understands if a given event is more likely, equally likely, or less likely to occur (ex: chicken nuggets or pizza for lunch in the cafeteria) MA.E nd DATA ANALYSIS & PROBABILITY Statistical methods to make inferences Displays the answer to a simple class question with two categories using concrete materials, a pictograph, or chart. (ex: hot or cold, wings or no wings) MA.E Version 1 August

9 s Describes data displayed concretely or pictorially Data from appropriate information Determines through class discussions questions for a simple twochoice survey so that the collected information will answer the questions Knows an appropriate method to display the information MA.E nd What does it mean when something comes before or after on a number line? NUMBER SENSE Associates verbal names, written word names, and standard numerals with whole numbers to 20 Counts up to 20 or more objects using MA.A Version 1 August

10 s verbal names and one-to-one correspondence. Reads and writes numerals to 20 or more. Counts orally to 20 or more. NUMBER SENSE Relative size of whole numbers between 0 and 20 Uses numbers and pictures to describe how many objects are in a set (to 20 or more). Uses language such as before or after to describe relative positions in a sequence of whole numbers on a number line up to 20 or more. Compares two or more sets (up to 10 objects in each set) and identifies which set is equal to, more than, or less than the other. MA.A MA.A Version 1 August

11 s 3 rd 3 rd How can you use paper clips, cubes, etc. to measure the length of your tabletop? How can you tell if something weighs more? What is time? Why is it important to tell time? What is the difference between yesterday and tomorrow? What is a calendar? MEASUREMENT MEASUREMENT Measurement concepts Understands how to communicate measurement concepts. Measures length of objects and distance using nonstandard concrete materials. Identifies the longer or shorter of two or more objects, putting objects in graduated order. Weighs objects to explore concepts of heavier and lighter. Describes concepts of time (ex: before or after, day or night). Describes concepts of temperature (ex: hot or cold). Compares and demonstrates the concept of capacity (ex: full or empty). MA.B MA.B Version 1 August

12 s How can we tell if one object is longer than the other? Nonstandard units of measurement Uses nonstandard objects, such as cubes, marbles, paper clips, and pencils to measure classroom objects (ex: table length in 10 crayons or 4 pencils). MA.B How can we tell if one object is heavier than another? MEASUREMENT Direct (measured) and indirect (not measured) comparisons to order objects according to length/ weight Uses direct (sideby-side) comparisons to sort and order objects by their lengths. Uses indirect comparisons to compare lengths of objects that cannot be physically compared (side-byside). (ex: compare height of counters in MA.B Version 1 August

13 s 3 rd the classroom by using string or in reference to child s own body). Compares and orders classroom objects by their weights, determining which objects weigh more, less, or about the same. Uniform units of measure in real world situations Uses uniform nonstandard units to measure common classroom objects. Estimates measurement and compares to actual measurement Uses nonstandard units to estimate and verifies by measuring, the length and width of common classroom objects. MA.B MA.B MA.B Version 1 August

14 s 3 rd What kinds of things do you do in the morning compared to what you do in the evening? MEASUREMENT Estimates and measures the time of day as day or night, morning, afternoon, or evening, and yesterday, today, or tomorrow. Understands which of two daily activities takes more or less time. MA.B Objects that serve as units of measure Uses nonstandard units appropriately (ex: pencil, cubes, scoops of rice). MA.B What is a ruler? Why would you use a ruler? Why do you weigh things? Why do we use a calendar? Instruments to measure within customary or metric systems Understands various measuring tools for measuring length, weight, or capacity. Understands ways to measure time, including calendars, days, weeks, months, MA.B Version 1 August

15 s and days of the week. 3 rd Why is it important to learn to count higher than 20? NUMBER SENSE Associates verbal names, written word names, and standard numerals with whole numbers beyond 20 Counts, writes, identifies, and represents numbers to 30. Explores numbers to one hundred by finding patterns. Orders numbers from 1 to 100 by tens. MA.A What are different ways to count to 100? Concepts of counting groups (5s, 10s) With teacher directions, counts orally to 100 or more by 1s, 2s, 5s and 10s using a hundred chart or concrete materials. Uses concrete MA.A Version 1 August

16 s NUMBER SENSE materials, pictures, and numerals to show the concept of numbers beyond 20. Counts backwards from ten to one. Counts by tens to 100. Counts by fives to 100. MA.A rd Number patterns (counting and grouping) for understanding of whole number system Groups objects in sets of 2 or more. Understands the relationships between larger numbers and smaller numbers. MA.A Where do you find oval shapes in your environment? GEOMETRY & SPATIAL SENSE 2 and 3- Dimensional shapes (ex: oval, diamond, star, MA.C Version 1 August

17 s 3 rd While riding in the car, what kind of shapes do you see on road signs? How can manipulatives help you understand slides, flips, and turns? How can you use your body to do a slide, flip, and turn? GEOMETRY & SPATIAL SENSE hexagon) Identifies 2-D shapes (oval, diamond, star, and hexagon). Sorts 3-D objects by varied attributes (ex: which can roll, stack, or slide. Sorts 3-D objects according to geometric shapes (ex: cubes, spheres, cylinders, cones) Geometric transformation Uses concrete objects to explore slides and turns. Demonstrates slides and turns using concrete materials. Identifies and demonstrates slides, flips, and turns of simple figures using concrete materials. MA.C MA.C Version 1 August

18 s 4 th 4 th What are some plane figures in the classroom? What objects in the classroom show symmetry? GEOMETRY & SPATIAL SENSE GEOMETRY & SPATIAL SENSE Spatial relationships, symmetry, and reflections Identifies the relationships between solid and plane figures. Recognizes symmetry in the environment. Uses concrete materials to make symmetrical figures (ex: paper fold, paint blot) Matches objects to outlines of their shapes. MA.C MA.C Describes, classifies, compares, and sorts geometric figures Recognizes, compares, and sorts real world objects or models of solids. Understands the attributes of circles, MA.C Version 1 August

19 s squares, triangles, and rectangles (ex: edges, corners, curves). NUMBER SENSE Associates verbal names, written word names, and standard numerals with whole numbers less than 1000 Counts orally to 100 or more. MA.A th When do you use estimation? 4 How does estimation help us in math? NUMBER SENSE Estimates for real world quantities Estimates and verifies by counting sets that have more, fewer, or the same number of objects (ex: use reference objects, compare cards with different numbers of dots, estimate whether sets are more/ less than a given number such as five). MA.A Version 1 August

20 s 4 th What is the difference between an even number and an odd number? What is a fraction? What objects do you see in the classroom that show onehalf? Why do we use money? What role does money play in our world? How are a dime and a nickel different? MEASUREMENT Odd or even numbers Identifies numbers as odd or even Represents commonly used fractions in relationship to real world situations Understands the concept of fractions (equal parts, equal groups) Uses concrete materials to represent fractional parts of a whole (one-half, onefourth). Estimates measurement in real-world problem situations Sorts coins (pennies, nickels, dimes). Identifies and counts pennies to 10 cents. Identifies and MA.A MA.A MA.B Version 1 August

21 s counts nickels to 30 cents. Identifies and counts dimes to 50 cents. Understands and compares the values of a penny (1 cent), nickel (5 cents), and dime (10 cents). 4 th What is addition? How do we use addition in everyday activities? What is subtraction? How are adding and subtracting different? How do you know when you should add? How do you know when you NUMBER SENSE, CONCEPTS, & OPERATIONS NUMBER SENSE, CONCEPTS, & OPERATIONS Addition and subtraction of whole numbers Counts forward from a given number using objects or a number line. Counts back from a given number between 10 and 0 using objects or a number line. Demonstrates and describes the effect of putting together and taking apart sets of objects (ex: 3 cubes and 4 cubes is MA.A MA.A Version 1 August

22 s should subtract? What does the plus sign (+) mean? What does the minus sign (-) mean? What does the word equal mean? 7 cubes). Uses a number line to demonstrate how to count up and count back from a given number. Understands the terms add, plus, addition, subtract, minus, subtraction, equals, sum, difference. Combines 2 groups of objects to get the sum. Explores subtraction by removing objects from sets. Recognizes the addition sign (+), subtraction sign (-), and equal sign (=). 4 th NUMBER SENSE, CONCEPTS, & OPERATIONS Selects appropriate operations to solve problems using addition and subtraction of MA.A Version 1 August

23 s whole numbers Creates and acts out number stories using objects. Understands strategies for solving number problems. Adds and subtracts whole numbers to solve real world problems Demonstrates an awareness of addition and subtraction in everyday activities (using concrete objects, models, drawings, role plays). MA.A GEOMETRY & SPATIAL SENSE GEOMETRY & SPATIAL SENSE Identifies positive whole numbers on a number line Locates known and unknown numbers on a number line from 0 to 10 or more (ex: MA.C MA.C Version 1 August

24 s find number you are on if you move 2 numbers forward or 3 numbers back). 4 th ALGEBRAIC THINKING Informal methods to solve real world problems requiring simple equations that contain one variable Uses informal methods, such as pictures, concrete materials, and roleplaying, to solve real world problems. Uses one-to-one matching to determine if two groups are equal. MA.D Version 1 August