CS
1: Students engage in the mathematical
process of problem solving and reasoning, estimation,
communication, connections and
applications, and use appropriate technology.
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A student at the proficient level in mathematics will be able to:
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CS 1.1:
Solve problems from many contexts using a variety of strategies (e.g.
estimate, make a table or graph, look for a pattern, and simplify the
problem). Explain the methods for
solving these problems.
§
Explore
a variety of problem solving strategies §
Use
of physical materials to make concrete connections |
CS 1.1:
Solve problems from many contexts using a variety of strategies (e.g.
estimate, make a table, look for a pattern, and simplify the problem). Explain the methods for solving these
problems. |
CS 1.1:
Solve problems from many contexts using a variety of strategies (e.g.
estimate, make a table, look for a pattern, and simplify the problem). Explain the methods for solving these
problems. §
Use a variety
of problem solving strategies |
continued
A student at the proficient level in mathematics will be able to:
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CS 1.2: Explore estimation strategies throughout
the problem-solving process. |
CS 1.2: Apply estimation strategies throughout the
problem-solving process. |
CS 1.2: Apply estimation strategies throughout the
problem-solving process. §
Explore for
reasonableness of answer §
Round to
nearest 10, 100 |
CS 1.3:
Communicate mathematical ideas in a variety of ways (e.g. written,
verbal, concrete, pictorial, graphical).
§
Express
mathematical ideas using pictures, mathematical vocabulary, language,
numbers, and manipulatives |
CS 1.3: Communicate mathematical ideas in a variety
of ways (e.g. written, verbal, concrete, pictorial, graphical, and
algebraic). §
Read whole
number words to ten §
Understand and
use mathematical vocabulary and language §
Write numerals
0-100 |
CS 1.3:
Communicate mathematical ideas in a variety of ways (e.g. written,
verbal, concrete, pictorial, graphical, and algebraic). §
Understand and
use mathematical vocabulary and language |
CS 1, continued
A student at the
proficient level in mathematics will be able to:
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CS 1.4: Recognize and
investigate mathematics through applications in real- life situations.
§
Relates
everyday language to mathematical language and symbols |
CS 1.4: Recognize and investigate mathematics
through applications in real- life situations. §
Relate everyday
language to mathematical language and symbols |
CS 1.4: Recognize and investigate mathematics
through applications in rea- life situations §
Relate everyday
language to mathematical language and symbols |
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CS 1.5: Explore and use appropriate technology to
enhance mathematical understanding.
Appropriate technology may include, but is not limited to, paper and
pencil, calculator, and computer. |
CS 1.5: Select and use appropriate technology to
enhance mathematical understanding.
Appropriate technology may include, but is not limited to, paper and
pencil, calculator, and computer. |
CS 1.5: Select and use appropriate technology to
enhance mathematical understanding.
Appropriate technology may include, but is not limited to, paper and
pencil, calculator, and computer. |
CS
2: Students demonstrate understanding
of and an ability to use numbers and operations.
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A student at the
proficient level in mathematics will be able to:
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CS 2.1: Exhibit connections
between the concrete and symbolic representation of a problem or concept.
§
Use concrete
objects to illustrate an operation §
Verbalize a
number sentence to describe an operation using concrete materials §
Represent the
numerals 0-12 using concrete objects and written numerals |
CS 2.1: Exhibit connections between the concrete
and symbolic representation of a problem or concept. §
Write an
equation to connect concrete to symbolic §
Relate
manipulatives, pictures, and diagrams to mathematical concepts |
CS 2.1: Exhibit connections between the concrete
and symbolic representation of a problem or concept. §
Write an
equation to connect concrete to symbolic §
Relate
manipulatives, pictures tables and diagrams to mathematical concepts |
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S 2, continued
A student at the
proficient level in mathematics will be able to:
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CS 2.2: Use the
number system by counting, grouping and applying place value concepts.
§
Count
by 2’s to 10 or beyond. §
Count
by 5’s and 10’s to 100 §
Count
by rote to 50 or beyond §
Count
sets of objects to 12 or beyond using 1:1 correspondence §
Verbally
identify ordinal positions 1st-5th §
Compare
groups using more/less/same §
Classifications
using size, shape,color, and other attributes. §
Recognize
pennies, nickels, dimes, quarters §
Explore
values of a set of coins |
CS 2.2: Use the number system by counting,
grouping, and applying place value concepts. §
Read, write,
order, and compare numbers to 100 §
Understand 1:1 correspondence
with whole numbers to 20 §
Compare
equivalent and non-equivalent sets using the words: less than, greater than, 1 more, 1 less,
equal to 20 §
Identify
ordinal positions to the 10th place §
Identify place
value to ones and tens §
Model
expanded number for any set to 20 (e.g. 13 = 1 ten, 3 ones, or 13 = 10+3) §
Count
sets of coins to 50Ë using pennies, nickels, dimes §
and
quarters §
Write
money value using correct notation (Ë) §
Skip
count and write by 5’s and 10’s to 100, 2’s to 20 §
Identify
even and odd numbers to 20 or beyond. |
CS 2.2: Use the number system by counting, grouping
and applying place value concepts. §
Identify
ordinal positions to the 20th place §
Write
an expanded number for any set to two places (to 99) (e.g. 34 = 3 tens, 4
ones or 34 = 30+4) §
Skip
count and write by 2’s, 5’s, and 10’s to 100 §
Skip
count and write by 3’s to 30 and 4’s to 40 §
Explore
even and odd whole numbers to 100 §
Count
sets of coins to $1.00 using pennies, nickels, dimes, quarters and half
dollars §
Write money
value using correct notation (Ë, $, decimal) §
Identify bills
to $20 §
Compare numbers
to 99 using greater than, less than and equal to §
Write numbers
before, after, and/or numbers in between §
Recognize and
identifies place value positions for ones, tens and hundreds |
CS 2, continued
A student at the
proficient level in mathematics will be able to:
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CS 2.2,
continued §
Identify
and give value of pennies, nickels, dimes, and quarters §
Explore
the value of a set of coins to $1.00 |
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CS 2.3: Model, explain,
and use basic facts, the operations of addition and subtraction of whole
numbers, and mental mathematics.
§
Explore
addition and subtraction facts to 10 with the use of manipulatives §
Recognize and
apply numerical symbols (+, -, =) §
Identify time
to the hour and explore the concept of more or less time |
CS 2.3: Model, explain, and use basic facts, the
operations of addition and subtraction of whole numbers, and mental
mathematics. §
Demonstrate
addition and subtraction facts to 12 §
Model
and explore addition and subtraction of 2-digit whole numbers without
regrouping §
Add
3 one-digit whole numbers (sums to 10) |
CS 2.3: Model, explain, and use basic facts, the
operations of addition and subtraction of whole numbers, and mental
mathematics. §
Demonstrate knowledge
of addition and subtraction facts to 18 §
Add 3 one-digit
numbers to 18 without regrouping §
Model/add/subtract
two 2-digit numbers to 99 with and without regrouping |
CS 2, continued
A student at the proficient
level in mathematics will be able to:
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CS 2.4: Model and explain
part/whole relationships in everyday situations. §
Explore
equal parts §
Demonstrate
that a whole can be divided §
Explore,
recognize, and write fractions for 1/4, 1/2 and 1/3. |
CS 2.4: Model
and explain part/whole relationships in everyday situations. §
Explore part to
whole relationships §
Recognize equal
parts of a whole §
Identify and
write 1/2, 1/3, 1/4 for areas of a whole |
CS 2, continued
A student at the
proficient level in mathematics will be able to
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CS 2.5: Model and
explain part/whole relationships in everyday situations.
§
Experience equal
parts through informal and integrated activities (e.g.: literature, sharing,
following directions, etc.) §
Demonstrate
that a whole can be divided §
Explore equal
parts (e.g., two halves equal one whole – the halves are equal) |
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CS
3: Students use algebraic concepts,
processes, and language to model and solve a variety of real-world and
mathematical problems.
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A student at the proficient level in mathematics will be able to:
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CS 3.1: Explore symbols
to represent numbers in simple situations.
§
Write a numeral
to represent the quantity of a set |
CS 3.1: Explore the use of symbols and equations to
represent numbers in simple situations. |
CS
3.1: Use symbols (e.g., boxes or
letters) to represent numbers in simple situations. §
Explore boxes
to represent numbers in equations §
Explore the use
of symbols to represent |
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CS 3.2: Explore the use of variables and open
sentences to express relationships. §
Explore missing
addends |
CS 3.2: Explore the use of variables and open
sentences to express relationships (e.g., missing addend). §
Solve equations
with missing addends and subtrahends §
Represent
mathematical relationships using Ø
Number line Ø
Counters Ø
Tables and
graphs |
CS3, continued
A student at the proficient level in mathematics will be able to:
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CS 3.3: Use
inverse operations and other strategies to solve number sentences. §
Explore
the use of inverse operations to solve an addition or subtraction number sentence (facts to 12) §
Use
strategies to solve number sentences (facts to 12) §
Counting
on and back §
Doubles §
Doubles
plus 1 §
Fact
Families |
CS 3.3: Use inverse operations and other strategies
to solve number sentences. §
Model use of inverse
operations to solve an addition or subtraction number sentence for facts to
18, (e.g. 18-__= 12, 12+6=18) §
Counting on and
back §
Doubles §
Doubles plus 1 §
Fact families
(e.g.: 3+5=8, 5+3=8, 8-5=3, 8-3=5) |
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CS 4: Students demonstrate understanding of
shapes and an ability to use geometry.
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A student at the proficient level in mathematics will be able to:
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CS 4.1:
Identify and explore two-and three-dimensional shapes.
§
Geometric shapes
(e.g. rectangle, square, circle, triangle, cylinder, cube, sphere) |
CS 4.1: Identify, describe, model, and classify
two-and three-dimensional shapes. §
Describe
attributes of two and three dimensional shapes (e.g. corners and sides) |
CS 4.1: Identify, describe, model, and classify
two-and three-dimensional shapes. §
Describe two
and three dimensional shapes (e.g. corners, faces, edges and sides) |
CS 4.2: Explore
lines of symmetry, similar shapes, and positional relationships.
§
Sort and
classify by size and shape §
Use and
understand position words Boehm (e.g. over, under, between, above, below,
etc.) |
CS 4.2: Investigate and predict results of
combining, sub-dividing, and changing shapes using manipulatives such as
pattern blocks or tangrams. |
CS 4.2: Investigate and predict results of
combining, subdividing, and changing shapes (e.g. two trapezoids equals one
hexagon). |
CS4, continued
A student at the proficient level in mathematics will be able to:
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CS 4.3: Identify lines of symmetry, congruent and
similar shapes, and positional relationships. §
Identify horizontal and
vertical lines of symmetry of two- §
dimensional shapes §
Identify
congruent and similar shapes §
Use and
understand positional words (e.g. left, right, before, after, and between) |
CS 4.3: Identify lines of symmetry, congruent and
similar shapes, and positional relationships. §
Explore, locate
and plot ordered pairs on a grid §
Identify
horizontal and vertical lines of symmetry of two-dimensional shapes |
CS5: Students demonstrate understanding of
measurable attributes and an ability to use a measurement process.
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A student at the
proficient level in mathematics will be able to:
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CS 5.1: Explore the use of non-standard units
(manipulatives such as unifix cubes, beans) to estimate, measure, and compare
length and height, weight, capacity, volume, area, and quantity. |
CS 5.1: Explore the use of non-standard units (manipulatives such
as unifix cubes, beans) to estimate,
measure and compare: length, capacity,
weight, mass, area, volume, quantity and perimeter. |
CS 5.1: Estimate, measure, and investigate
non-standard and standard units of :
length, height, capacity, weight, mass, area, volume, quantity and
perimeter. |
CS5,
continued
A student at the proficient level in mathematics will be able to
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CS 5.2: Explore measurement skills to everyday
situations. §
Relate time to daily
events (morning, afternoon, night, etc.) §
Explore an
awareness of the days of the week and months of the year §
Relate
temperature to daily weather (e.g. appropriate dress, activities) |
CS 5.2: Explore the use of non-standard units (manipulatives
such as unifix cubes, beans) to measure: §
Length and
height (inch, foot, yard, cm, m) §
Temperature (°F) §
Weight (pound and kilogram)
§
Days of week
and months of year §
Time to the
nearest hour and half hour |
CS 5.2: Explore measurement using standard units
and non-standard units. §
Explore
measuring capacity using: liters, cups, pints and quarts. §
Explore
measuring temperature in degrees Fahrenheit and
Celsius §
Explore time
(e.g. 1/2 hour and 1/4 hour, and m/d/y.) §
Explore,
estimate, and measure length, height, and mass using: centimeters, meter, feet, yard, pound (to
nearest lb.), ounces, grams, and kilograms §
Centimeters |
CS5, continued
A student at the proficient level in mathematics will be able to:
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CS 5.3: Explore and use tools and techniques. §
Time (clock,
calendar) §
Money (coins) §
Length (ruler) §
Weight (scale) §
Volume
(measuring cups) |
CS 5.3: Apply measurement skills to everyday
situations. §
Give today’s
date in m/d/y |
CS 5.3: Apply measurement skills to everyday
situations. |
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CS 5.4: Select and use appropriate tools and
techniques. §
Time (clock, calendar)
§
Money (coins
and bills) §
Length (ruler,
meter stick, yard stick) §
Weight (scale) §
Volume (cups,
pints, quarts, liters and gallons) |
CS 5.4: Select and use appropriate tools and
techniques. §
Time (clock, calendar)
§
Money (coins
and bills) §
Length (ruler,
meter stick, tape measure, yard stick) §
Weight (scale) §
Volume (cups,
pints, quarts, liters, gallons) |
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CS6: The students demonstrate understanding of
and an ability to use data analysis, probability, and statistics.
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A student at the proficient level in mathematics will be able to:
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CS 6.1: Participate in collecting,
organizing and displaying data |
CS 6.1: Participate in collecting, organizing, and
displaying data. |
CS 6.1: Collect, organize, and display data. |
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CS 6.2: Explore, construct, read, and interpret
data. |
CS 6.2: Explore, construct,
and interpret data.
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CS 6.2: Construct, read and interpret data. |
CS 6.3:
Participate in solving problems from data.
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CS 6.3: Formulate and participate in solving
problems that involve collecting and analyzing data (e.g. graphs, tables, and
tallies). |
CS 6.3: Formulate and solve problems that involve
collecting and analyzing data. §
Conduct surveys
and interpret results |
CS6, continued
A student at the proficient level in mathematics will be able to:
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CS 6.4: Explore simple probability with informal
activities (e.g. coin toss). |
CS 6.4: Explore simple probability with informal
activities (e.g. coin toss). |
CS 6.4: Demonstrate and record simple probability
through predictions and experimentation. |
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CS7: Students demonstrate understanding of an
ability to use patterns, relations, and functions.
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A student at the
proficient level in mathematics will be able to:
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CS 7.1: Recognize,
describe, extend, and create a variety of patterns using colors, shapes,
sizes, rhythm, and pictures. |
CS 7.1: Recognize, describe, extend, and create a
variety of patterns (e.g. numbers, letters, colors, shapes, sizes, pictures
and rhythm). §
Recognize the
same pattern in different forms |
CS 7.1: Recognize, describe, extend, and create a
variety of patterns (e.g. shapes, colors, numbers, letters, sizes, pictures,
rhythm, and operations). |
CS7, cont.
A student at the proficient
level in mathematics will be able to:
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CS 7.2: Represent and describe mathematical and
real-world relationships. |