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Arithmetic and Number Concepts
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Children demonstrate an understanding
of arithmetic and number concepts.
At this level, children will investigate the numbers 1-10
and how numbers relate to each other (e.g.,
Is 3 more or less than 7? What number comes first, 6 or
4?).
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You can help by having your child
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Recognize the numbers 1-10. |
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Match the number of real objects to the correspond- ing numerals
of 1-10 (e.g., ask him to count the number
of cereal boxes in the pantry, the number of letters in his
name, or the number of windows in a room). |
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Compare two or more small groups and tell which group is more,
less, or the same (e.g., ask him to compare
the number of letters in his name to the number of letters in
other family members' names). |
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Compare and identify whether objects divided into parts are
equal or not equal parts (e.g., break one
large cookie in half, and then break another one into several
unequal pieces). |
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Recognize a penny, nickel, and dime and their values (i.e.,
1 cent, 5 cents, and 10 cents). |
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Write the numbers 1-10. |
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Geometry and Measurement Concepts
Children demonstrate an understanding
of geometry and measurement concepts.
Children will explore geometry (shapes) by interacting
with everyday objects and physical materials.
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You can help by having your child
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Recognize, name, draw, compare, and sort two-
and three-dimensional shapes such as squares, rectangles, circles,
ovals, triangles, and spheres (e.g., have
him point to and name the different shapes in your home, on
his body, and on his plate at breakfast and dinner). |
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Create designs, patterns, and pictures using shapes (e.g.,
have him draw a picture using lots of shapes, and then have
him ask you and other family members to find the different
shapes in the picture). |
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Locate and identify geometric shapes in your home and in the
environment (e.g., a window is a rectangle;
the sun is a circle). |
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Describe the relationship between objects such as top/bottom,
over/under, inside/outside, and beside/behind. |
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Compare objects by size, length, and weight using a variety
of measurement units (e.g., use his hands,
rulers, string, and the bathroom scale to decide which is bigger
or biggest). |
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Compare objects using words such as long/short, big/small,
full/empty, heavy/light, and more/ less to describe objects
(e.g., use everyday kitchen items to make comparisons, such
as an empty glass versus a full glass of milk). |
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Function and Algebra Concepts
Children develop an understanding
of function and algebra concepts.
Children will study patterns in the world around them as
a way to make generalizations, see relationships, and
understand the logic and order of mathematics.
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You can help by having your child
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Recognize, discuss, and/or duplicate a pattern
using concrete materials (e.g., arrange
picture cards of boys and girls into a pattern of boy/boy/girl/
boy/boy/girl). |
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Find the similarities and differences in patterns (e.g.,
create patterns using beans or buttons, and compare patterns
for similarities or differences). |
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Recognize and reproduce patterns from rhythms or songs (e.g.,
use tapping instruments or clapping hands to copy a pattern
he's heard). |
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Statistics and Probability Concepts
Children learn about statistics and
probability, i.e., the likelihood of a specific event.
Children will sort, collect, and compare data, and then
represent the information through simple bar graphs.
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You can help by having your child
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Sort objects by characteristics such as shape,
size, color, and function (e.g., have him
count the family members at home, and then ask him how many
have long hair, how many have short hair?). |
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Compare real-life data (e.g., objects
collected on a walk-leaves, acorns, pebbles) and represen
this findings by coloring in a bar graph. |
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Tell another family member about a graph and what it means. |
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Problem Solving and Mathematical Reasoning
Children solve mathematical problems
using reasoning and problem solving skills.
Children will use mathematical concepts to formulate and
implement a solution.
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Mathematical Skills and Tools
Children learn and use basic mathematical
skills.
Children will demonstrate an understanding of mathematical
skills through a variety of ways.
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You can help by having your child
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Count with fluency from 1-20. |
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Show an understanding of matching objects to numbers for
numerals 1-10. |
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Count by fives and tens to 100 (e.g., help him count in multiples
of 5-5, 10, 15, 20...100-and multiples of 10-10, 20, 30...100).
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Use a calendar to identify the days of the week, the months
of the year, the seasons, and the concepts of yesterday, today,
and tomorrow (e.g., using a large calendar,
each day talk about that day-today is Tuesday, yesterday
was Monday, this is the month of April). |
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Identify and use the ordinal positions first through fifth
(e.g., this is the first book we've
read; you are the third child in line). |
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Mathematical Communication
Children learn to use the language
of mathematics.
Children will use mathematical terms, vocabulary, and language
when communicating with others.
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You can help by having your child
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Use vocabulary, pictures, and dramatization to
present math problems and solutions (e.g.,
have him act out a math problem-on a make-believe trip to a
store, he buys four apples and then three more apples for a
total of seven apples). |
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Describe patterns and mathematical problems in a variety of
ways. |
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Use computer games to explore mathematical concepts. |
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