MATHEMATICS - KINDERGARTEN
CHECKLIST
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04-05 |
05-06 |
06-07 |
07-08 |
08-09 |
BENCHMARK GRADE LEVEL EXPECTATIONS |
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N-1-E constructing number meaning
and demonstrating that a number can be expressed in many different
forms (e.g., standard notation, number words, number lines, geometrical
representation, fractions, and decimals); 1. Count
by ones to 20 2. Count
a set of 20 or fewer objects by establishing a 1-to -1 correspondence
between number names and objects 3. Use
the ordinal numerals 1st through 10th to discuss
positions in ordered lists 4. Identify
the numerals for the numbers 0 through 20 5. Using
a number line or chart, identify the numbers coming before/after a
given number and between 2 given numbers 6. Identify
pennies, nickels, and dimes and their values using the cent sign
(¢) 8. Compare sets
containing 20 or fewer objects using the words same/different
and more/less/greater/fewer |
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N-2-E demonstrating number sense and estimation
skills, giving particular attention to common equivalent reference
points (i.e., 1/4 = 25% = .25; ½ = 50% = .5; $1 = 100%, etc.); 6. Identify
pennies, nickels, and dimes and their values using the cent sign
(¢) |
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N-3-E reading, writing, representing, comparing,
ordering, and using whole numbers in a variety of forms (e.g., standard
notation, number line, and geometrical representation); 1. Count by ones
to 20 2. Count a set
of 20 or fewer objects by establishing a 1-to-1 correspondence between
number names and objects 4. Identify the
numerals for the numbers 0 through 20 5. Using a
number line or chart, identify the numbers coming before/after a given
number and between 2 given numbers 7. Count forward
and backward from a given number between 1 and 10 8. Compare sets
containing 20 or fewer objects using the words same/different
and more/less/greater/fewer |
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N-4-E demonstrating a conceptual understanding of
the meaning of the basic arithmetic operations (add, subtract,
multiply, and divide) and their relationships to each other; 9. Use concrete
objects to model simple real-life addition and subtraction problems |
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N-5-E selecting appropriate operation(s) (add,
subtract, multiply, and divide) for a given situation; 10. Use
operational vocabulary (add, subtract, join, remove, take away, put
together) to explore sets of objects |
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N-6-E applying a knowledge of basic math facts and
arithmetic operations to real-life situations; |
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N-7-E constructing, using, and explaining
procedures to compute and estimate with whole numbers (e.g., mental
math strategies |
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N-8-E selecting and using appropriate computational
methods and tools for given situations involving whole numbers (e.g.,
estimation, mental arithmetic, calculator, or paper and pencil); |
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N-9-E demonstrating the connection of number and
number relations to the other strands and to real-life situations |
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A-1-E demonstrating a conceptual understanding of
variables, expressions, equations, and inequalities (e.g., use letters
or boxes to represent values; understand =,
, <, and > symbols); 2. Count a set
of 20 or fewer objects by establishing a 1-to-1 correspondence between
number names and objects 5. Using a
number line or chart, identify the numbers coming before/after a given
number and between 2 given numbers 11. Use the
words same, different, equal, not equal, greater than, and less than
while using concrete objects for comparative models |
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A-2-E modeling and developing strategies for
solving equations and inequalities; 12. Model and
act out story problems, physically or with objects, to solve whole
number sentences with sums less than or equal to 6 |
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A-3-E recognizing the connection of algebra to the
other strands and to real-life situations (e.g., number sentences or
formulas to represent real-world problems). |
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M-1-E applying (measure or solve measurement
problem) the concepts of length (inches, feet, yards, miles,
millimeters, centimeters, decimeters, meters, kilometers), area,
volume, capacity (cups, liquid pints and quarts, gallons, milliliters,
liters), weight (ounces, pounds, tons, grams, kilograms), mass, time
(seconds, minutes, hours, days, weeks, months, years), money, and
temperature (Celsius and Fahrenheit) to real-world experiences; 13. Use
vocabulary such as: yesterday, today, tomorrow, hours, weeks,
names of days, names of months; sequence events; and identify calendars
and clocks as objects that measure time 15. Use
comparative and superlative vocabulary in measurement settings (e.g., longest,
shortest, most, hottest, heaviest, biggest) |
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M-2-E selecting and using appropriate standard and
non-standard units of measure (e.g., paper clips and Cuisenaire rods)
and tools for measuring length, area, capacity, weight/mass, and time
for a given situation by considering the purpose and precision required
for the task; 13. Use
vocabulary such as: yesterday, today, tomorrow, hours, weeks,
names of days, names of months; sequence events; and identify calendars
and clocks as objects that measure time 14. Measure and
estimate length and capacity using non-standard units (e.g., sticks,
paper clips, blocks, beans) 15. Use
comparative and superlative vocabulary in measurement settings (e.g., longest,
shortest, most, hottest, heaviest, biggest) |
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M-3-E using estimation skills to describe, order,
and compare measures of length, capacity, weight/mass, time, and
temperature; 14. Measure and
estimate length and capacity using non-standard units (e.g., sticks,
paper clips, blocks, beans) 15. Use
comparative and superlative vocabulary in measurement settings (e.g., longest,
shortest, most, hottest, heaviest, biggest) |
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M-4-E converting from one unit of measurement to
another within the same system (customary and metric); comparisons
between systems should be based on intuitive reference points, not
formal computations (e.g., a meter is a little longer than a yard); |
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M-5-E demonstrating the connection of measurement
to the other strands and to real-life situations 13. Use
vocabulary such as: yesterday, today, tomorrow, hours, weeks, names of
days, names of months; sequence events; and identify calendars and clock as objects that measure time |
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G-1-E determining the relationships among shapes; 16. Name and
identify basic shapes using concrete models (e.g., circles, squares,
triangles, rectangles, rhombuses, balls, boxes, cans, cones) 19. Investigate
the results of combining shapes (using paper shapes, pattern blocks
tangrams, etc.) |
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G-2-E identifying, describing, comparing,
constructing, and classifying two-dimensional and three-dimensional
geometric shapes using a variety of materials; 16. Name and
identify basic shapes using concrete models (e.g., circles, squares,
triangles, rectangles, rhombuses, balls, boxes, cans, cones) 17. Compare,
contrast, and sort objects or shapes according to two attributes (e.g.,
shape and size, shape and color, thickness and color) |
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G-3-E making predictions regarding combinations,
subdivisions, and transformations (slides, flips, turns) of simple
plane geometric shapes; 18. Use words
that indicate direction and position of objects and arrange an object
in a specified position and orientation (e.g., between, behind, above) 19. Investigate
the results of combining shapes (using paper shapes, pattern blocks
tangrams, etc.) |
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G-4-E drawing, constructing models, and comparing
geometric shapes, with special attention to developing spatial sense; 16. Name and
identify basic shapes using concrete models (e.g., circles, squares,
triangles, rectangles, rhombuses, balls, boxes, cans, cones) 20. Draw
circles, squares, rectangles, and triangles |
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G-5-E identifying and drawing lines and angles and
describing their relationships to each other and to the real world; 16. Name and
identify basic shapes using concrete models (e.g., circles, squares,
triangles, rectangles, rhombuses, balls, boxes, cans, cones) |
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G-6-E demonstrating the connection of geometry to
the other strands and to real-life situations |
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D-1-E collecting, organizing, and describing data
based on real-life situations; 21. Collect and
organize concrete data using tally mark charts 22. Collect and
organize data in a simple bar graph using pictures or objects |
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D-2-E constructing, reading, and interpreting data
in charts, graphs, tables, etc; 22. Collect and
organize data in a simple bar graph using pictures or objects 23. Sort,
represent, and use information in simple tables and bar/picture graphs |
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D-3-E formulating and solving problems that involve
the use of data; 23. Sort,
represent, and use information in simple tables and bar/picture graphs |
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D-4-E exploring, formulating, and solving
sequence-of-pattern problems involving selection and arrangement of
objects/numerals; |
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D-5-E predicting outcomes based on probability
(e.g., make predictions of same chance, more likely, or less likely;
determine fair and unfair games); |
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D-6-E demonstrating the connection of data
analysis, probability, and discrete math to other strands and real-life
situations |
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P-1-E recognizing, describing, extending, and
creating a wide variety of numerical (e.g., skip counting of whole
numbers), geometrical, and statistical patterns; 24. Recognize,
copy, name, create, and extend repeating patterns (e.g., ABAB, AABB, ABBA) using concrete objects, shapes,
pictures, numbers, and sounds |
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P-2-E representing and describing mathematical
relationships using tables, variables, open sentences, and graphs; |
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P-3-E recognizing the use of patterns, relations,
and functions in other strands and in real-life situations |