2006 Kindergarten Mathematics Benchmarks

(Revised August 2006)

 

Grading Scale

District standard 100% except for the following benchmarks:

-        Writes numbers 0-5 (District standard 80%)

-        Writes numbers 0-10 (District standard 80%)

-        Writes numbers 0-15 (District standard 80%)

-        Writes numbers to 20 (District standard 80%)

 

Mathematic Vocabulary and Resources

 

1.      Kindergarten ISAT RIT Range is 150 to 171

2.      Link to:  Complete ISAT Vocabulary List RIT 150-280

3.      Link to:  ISAT Resources – Sample test questions

4.      Link to:  ISAT Proficiency Levels Chart

5.      Link to:  Learning Continuum

6.      Link to:  Direct Math Assessment Toolkit

 

 

Benchmarks designated with a < are introduced and are taught this quarter, but are not assessed.

 

Grading Period:

 

First Quarter Benchmarks

Number Sense

1.       Count to 10 by 1’s

2.       Count objects with one-to-one correspondence

3.       Write numbers 0-5 (Without errors or reversals)

4.       Identify and sequence numbers 0-5

5.       Match sets of objects to numerals 0-5

 

Reasoning/Problem Solving

1.       Explore pattern blocks, counters and linking cubes

2.       Act out story problems

 

Measurement

1.       < Identify days of the week

2.       < Name the day’s date using a calendar

 

Algebraic Concepts

1.       Identify and read patterns (ABAB, shape, color, and size 

 

Geometry

1.       < Identify circles, rectangles, squares and triangles

2.       < Use attributes to name a shape piece

3.       Recognize, classify and sort objects

 

Data Analysis, Probability and Statistics

1.       Read and interpret graphs

2.       Use a pictograph

3.       Identify largest, smallest, most and fewest on a graph

 

Suggested Assessments

1.       Meetings 1-7

2.       Lessons 1-25

3.       Assessments 1-3

 

Benchmarks designated with a < are introduced and are taught this quarter, but are not assessed.

 

Second Quarter Benchmarks

Number Sense

1.       Identify digits

2.       Count to 25 by 1’s

3.       Count objects with one-to-one correspondence

4.       Write numbers 0-10 (Without errors or reversals)

5.       Identify and sequence numbers 0-10 

6.       Match sets of objects to numerals 0-10

7.       Identifies and knows the value of a penny

8.       Counts backward 10-0

9.       <  Identify ordinal position to fourth

10.    <  Identify a missing number

11.    <Compares sets of objects using vocabulary (less than, greater than, same as)

 

Reasoning/Problem Solving

1.       Explore pattern blocks, counters and linking cubes

2.       Act out story problems

 

Measurement

      1.   Name the day’s date using a calendar

 

Algebraic Concepts

1.       Identify and extend patterns (ABB, shape, color and size)

2.       <  Differentiate between greater than, less than, and the same

3.       <  Determine what operation is needed to solve a word problem (any operation)

 

Geometry

1.       Sort objects by color and identify the sorting rule

2.       Identify triangles, squares, circles and rectangles

3.       Use attributes to name a shape piece

4.       <  Make shapes on a geoboard

 

Data Analysis, Probability and Statistics

1.       <  Represent and compare data (largest, smallest, most often, least often) by using picture graphs, pictures, and simple bar graphs

 

Suggested Assessments

1.       Meetings 8-13

2.       Lessons 26-55

3.       Assessments 4-6

 

Benchmarks designated with a < are introduced and are taught this quarter, but are not assessed.

 

Third Quarter Benchmarks

Number Sense

1.       Count by 1’s, and 10’s to 50

2.       Count objects with one-to-one correspondence

3.       Write numbers to 15 (Without errors or reversals)

4.       Identify and sequence numbers 0-15

5.       Match sets of objects to numerals 0-15

6.       < Identify ordinal position to 5th

7.       Identifies and knows the value of a penny and dime

8.       < Identify one-half of an object from a picture

9.       < Identify the number that is “one more than” and “one less than” a given number

 

Estimation/Accurate Computation

1.       Divide by sharing

2.       Estimate the number of beans in a jar

3.       < Separate sets through manipulatives and pictorial subtraction problems

 

Reasoning/Problem Solving

1.       Explore pattern blocks, counters and linking cubes

2.       Act out story problems

3.       < Solve simple addition word problems

4.       < Understand the concept of addition using concrete objects

5.       < Demonstrate what operation is needed to solve a word problem

 

Measurement

1.       < Order period of time (days  of the week)

2.       Tell and show time to the hour

3.       < Identify a cup, quart, full, half-full, and empty

4.       Order objects by length

5.       Compare objects by shape, size, height, and length (larger, smaller, taller, shorter, longer)

6.       <Estimate measurement using concrete objects

7.       < Identify if temperature is hot, warm, or cold

 

Algebraic Concepts

1.       Identify and extend patterns (ABC, shape, color, size)

 

Geometry

1.       Describe the location of an object relative to another (e.g., next to, under, over, and behind)

2.       Use attributes to name a shape piece

3.       Identify and name plane figures: circle, triangle, rectangle, and square

4.       Recognize, name, compare and sort  two- and three- dimensional shapes (triangle, rectangle, square, circle, cone, cube)

5.       Copy lines, shapes, and designs on a geoboard

 

Data Analysis, Probability and Statistics

1.       Create a real graph

2.       Use a pictograph

3.       < Make reasonable predictions or decisions based on data

4.       < Determine an outcome and make a prediction (single event)

 

Suggested Assessments

1.       Meetings 14-18

2.       Lessons 56-85

3.       Assessments 7-9

 

Benchmarks designated with a < are introduced and are taught this quarter, but are not assessed.

 

Fourth Quarter Benchmarks

Number Sense

1.       Count by 1’s and 10’s to 100

2.       Count objects with one-to-one correspondence

3.       Counts words in a sentence

4.       Write numbers to 20 (Without errors or reversals)

5.       Identify and sequence numbers 0-20

6.       Compare and order numbers and sets of objects 0-20

7.       Match sets of objects to numerals 0-20

8.       < Identify and order ordinal numbers (first –tenth)

9.       Identify and knows the value of a nickel and dime

10.    < Identify equal parts of a region (thirds, halves, and quarters)

11.    < Represent fractions by using models and drawings

12.    Identify a missing number

13.    < Identify large, small and half of a shape

 

Estimation/Accurate Computation

1.       Divide by sharing

2.       Estimate measurement using concrete objects

3.       < Separate sets through manipulatives and pictorial subtraction problems

 

Reasoning/Problem Solving

1.       < Sort and identify tangram pieces

2.       < Create designs with tangram pieces

3.       < Cover designs with tangrams

4.       Act out addition and subtraction stories

5.       Understands the concepts of addition and subtraction using objects to solve simple problems

 

Measurement

1.       < Choose the appropriate tool: clock to measure time, calendar to measure days and months

2.       Compare objects by shape, size, height, and length (larger, smaller, taller, shorter, longer)

3.       Estimate measurement using concrete objects

4.       Order periods of time (days of the week, months of the year, etc.)

5.       Tell time to the hour

 

Algebraic Concepts

1.       Identify and extend patterns (ABBC, shape, color, and size)

2.       < Verbalize a written number story (3+5=8)

 

Geometry                                       

1.       Order and sort shapes by size and shape (circle, square, triangle, and rectangle)

2.       Copy geoboard designs

3.       Recognize, name, compare and sort two- and three- dimensional shapes (triangle, rectangle, square, circle, cone, cube)

 

Data Analysis, Probability and Statistics

1.       Create a real graph

2.       Use a pictograph

3.       Make reasonable predictions or decisions based on data

4.       Represent and compare data (i.e. largest, smallest, most often, least often) by using picture graphs, pictures, or simple bar graphs 

 

Suggested Assessments

  1. Meetings 19-24
  2. Lesson’s 86-112

 

Mathematics Vocabulary

By RIT Score

 

 

RIT Scores < 150

and

 

RIT Scores 151 – 160

equals

facts

how many

shape

circle

same as

longest

shortest

how tall

kilometer

meter

time

 

RIT Scores 161 – 170

ones

tens

hundreds

thousands

numeral

ordinal numbers through eleventh

counting

matches

triangle

square

corners

cone

closed

inside

how long

names of days of week

next

names of months

pennies

centimeter

inches

probability

 

RIT Scores 171 – 180

closest

how many

even numbers

same as

fewest

congruent

figure

line segment

area

square units

perimeter

days

week

set

coins

thermometer

temperature

pounds

ounces

pints

quarts

chance

product

number sentence

problem

how many more

multiples

greater than

left

how much

money

answer

about

outside

inside

shape

calendar

picture

 

RIT Scores 181 – 190

ordinal numbers (first, second,  third, etc)

odd

one-fourth

one-half

reduce

fractions

order

divisible

round

smallest

largest

lowest terms

greatest common factor

least common multiple

closest

units

set

digit

greater than

greatest

symmetry

point

sides

rectangle

cube

straight

line segment

shortest

about

length

estimate

perimeter

change

quarter

dollars

dozen

feet

yard

grams

meters

cups

gallons

nickel

pennies

dime

tablespoon

hours

minutes

degree

most often

sign

add

subtract

multiply

divide

rate

kilometers

between

equals

cost

time

less than

closest to

equation

weigh

pieces

inches

pounds

miles

sum

quarter

 

RIT Scores 191 – 200

difference

not true

power of 10

thirds

fourths

rounded

thousands

exponential form

mixed number

improper fraction

lowest common denominator

percent

expanded form

prime

factor

proportion

symmetrical

parallel

intersecting

diagonal

pair

angle

cylinder

outside

inside

sphere

faces

corresponding

point

intersect

axis of symmetry

line segment

pentagon

height

width

parallelogram

square

rectangle

triangle

year

ton

seconds

kilogram

distance

miles

liter

average

bar graph

percentage

if-then

product

sum

terms

meter

millimeters

feet

yards

unit of measurement

hundreds

tens

table

graph

length

rectangular

area

square inches

exactly

coins

numeral

even

change

opposite

subtrahend

addend

formula

circle

diameter

operation

total

fact

fraction

surfaces

cube

temperature

ordinal numbers (first – fifth)

equivalent

 

RIT Scores 201 – 210

estimate

round

closest to

sum

of (1/2 of 36)

missing number

pentagon

simplest fraction

biggest

hundredths

one less

decimal numeral

squared

divisible

inequality

expanded numeral

equivalent

point

standard numeral

sequence

intersection

quadrilaterals

octagon

parallelogram

pyramid

isosceles

diameter

geometric

perpendicular

plane

circumference

minutes

decades

milligrams

gram

cubic feet

volume

liters

length

weight

kilometers

millimeters

mass

least often

how many ways

ordered pairs

coordinates

distance formula

input

output

table

associative

equation

product

increased

number line

information not needed

division

odd

prime

cube

pattern

geometric patterns

extra information

 

RIT Scores 211 – 220

smallest

tenth

counting number

portion

fractional part

lowest terms

reciprocal

order

scientific notation

prime factorization

not prime

factor tree

common multiples

greatest common denominator

equivalent

nearest dollar

symmetrical

perpendicular

ray

vertex

rotation

triangular prism

corresponding parts

supplementary

acute angle

transformation

yards

measure of angle

degrees

protractor

centuries

below zero

Celsius

rectangular solid

rectangular prism

decades

ounces

dice

arranged

highest mean

commutative

solve

square numbers

input

output

number sequence

decimals

fractions

what shape

hour

minutes

gallons

average

probability

graph

squares

 

RIT Scores 221 – 230

product

divide

most

if – then

compute

lowest terms

always true

proportion

multiply

between

tens digit

standard numeral

ratio

polygon

circumference

trapezoid

equilateral

similar