A designation of a “D” denotes
that the objective is “developing” at that grade level and that mastery is not
expected.
4.1 NUMERATION/NUMBER SENSE
4.1.1 Students will demonstrate place value of whole numbers through the millions
and decimals to the hundredths place.
2-M-4.1.1a Recite a series of numbers (between 1 and 200)orally, by
1's, 2's, 5's, and 10's
2-M-4.1.1b Write numerals from 1 to 1,000 and by twos, fives, and tens
to 200
2-M-4.1.1c Recognize and read number words from zero to fifty
2-M-4.1.1d Place nonconsecutive numerals in sequential order
2-M-4.1.1e Use ordinal numbers to "twentieth" in describing
ordered sets
2-M-4.1.1f Order and compare numbers using symbols <,>,and = using
appropriate words to read comparisons
2-M-4.1.1g Recognize odd and even numbers
2-M-4.1.1h Identify digit placement to the hundreds place
3-M-4.1.1a Read and write numbers up through the hundred thousands place
3-M-4.1.1b Read and write decimals to the tenths place.
3-M-4.1.1c Order and compare numbers through the hundred thousands place
3-M-4.1.1d Order and compare decimals to the tenths place
3-M-4.1.1e Count by 2's, 5's, 10's, 100's, and 1,000's
3-M-4.1.1f Round numbers to the nearest place (ones, tens, hundreds,
thousands)
3-M-4.1.1g Distinguish between even and odd numbers
4-M-4.1.1a Read and write numerals (in digits and words)through the
hundred millions place
4-M-4.1.1b Read and write numerals (in digits and words)though the
hundredths place
4-M-4.1.1c Order and compare numbers to the hundred millions place using
<, >, =
4-M-4.1.1d Order and compare numbers to the hundredths place using <,
>, =
4-M-4.1.1e Round positive whole numbers to the nearest named place
through 100,000's
4.1.2 Students will write and illustrate equivalencies of whole numbers
in expanded form, decimals, and fractions.
2-M-4.1.2a Identify and represent fractional parts of whole numbers
(1/2,1/3,1/4)
2-M-4.1.2b Represent equivalencies through "naming boxes"
3-M-4.1.2a Identify fractions from pictorial representations and
construct pictorial representation of fractions
3-M-4.1.2b Identify the numerator and denominator in fractions
3-M-4.1.2c Write numbers in expanded form (400+30+2)
4-M-4.1.2a Write numbers in expanded form through the hundred
millions
4-M-4.1.2b Recognize and write fractional parts of objects with any
proper fraction
4-M-4.1.2c Write equivalent fractions
4-M-4.1.2d Write mixed numerals
4-M-4.1.2e Recognize relationships between fractions and decimals
4.1.3 Students will describe and apply relationships between whole
numbers, decimals, and fractions by order, comparison, and operation.
2-M-4.1.3a Represent fact families through manipulatives
and digits
2-M-4.1.3b Recognize the use of addition to solve subtraction and that
addition of multiple sets is multiplication
3-M-4.1.3a Apply knowledge of relationships between operations by
writing related addition and subtraction facts
3-M-4.1.3b Apply knowledge of relationships between operations by
writing related multiplication and division facts
3-M-4.1.3c Solve and check computation by using related facts
3-M-4.1.3d Order and compare common fractions and decimals using
pictorial representations
4-M-4.1.3a Order and compare common fractions and decimals using the
symbols <, >, =
4-M-4.1.3b Solve and check computation by using the related facts
4.1.4 Students will identify examples of positive and negative numbers
and zero.
2-M-4.1.4 Demonstrate simple concepts of positive and negative
numbers by locating numbers on the number line.
3-M-4.1.4 Complete simple number patterns which include negative numbers
4.1.5 Students will make change and count out in amounts up to $20.00.
2-M-4.1.5a Name the value of the penny, nickel, dime, quarter, and half
dollar
2-M-4.1.5b Count money to $5.00
2-M-4.1.5c Make change using coins to $1.00
2-M-4.1.5d Use “$” and “.” notations appropriately
3-M-4.1.5 Count money to $5.00, make change for purchases using the
fewest coins and bills.
4-M-4.1.5a Count random money amounts up to $20.00
4-M-4.1.5b Make change with the least number of coins up to $20.00
4.2 COMPUTATION/ESTIMATION
4.2.1 Students will estimate, add, subtract, multiply, and divide whole
numbers without and with calculators and solve word problems.
2-M-4.2.1a Demonstrate with accuracy and reasonable speed the basic
facts of addition (1-18)
2-M-4.2.1b Demonstrate with accuracy and reasonable speed the basic
facts of subtraction (1-18)
2-M-4.2.1c Add up to three-digit numbers including columns of numbers
with appropriate strategies (mental computation, regrouping, calculator, etc.)
2-M-4.2.1d Subtract two and three-digit numbers with appropriate
strategies (mental computation, regrouping, calculator, etc.)
2-M-4.2.1e Determine appropriate operation(+ or -) for problem solving
(this objective will be assessed for operation choice, not correct answer)
3-M-4.2.1a Demonstrate with accuracy and reasonable speed basic
facts of addition (1-20)
3-M-4.2.1b Demonstrate with accuracy and reasonable speed basic facts of
subtraction (1-20)
3-M-4.2.1c Demonstrate with accuracy and reasonable speed basic facts of
multiplication (1-100) and powers of 10
3-M-4.2.1d Demonstrate with accuracy and reasonable speed basic facts of
division (1-81)
3-M-4.2.1e Choose appropriate strategy and accurately add up to 3
four-digit numbers (for example mental computation, regrouping, and
calculators)
3-M-4.2.1f Choose appropriate strategy and accurately subtract up to
four-digit numbers (for example mental computation, regrouping, and
calculators)
3-M-4.2.1g Show/explain in writing how to estimate in adding and
subtracting
3-M-4.2.1h Determine appropriate operation for problem solving(+/-/x/˜)
and solve word problems
4-M-4.2.1a Demonstrate with accuracy and reasonable speed the basic
facts of multiplication (1-144) and division (1-144)
4-M-4.2.1b Accurately add up to five-digit numbers, including columns of
numbers, using appropriate strategies.
4-M-4.2.1c Accurately subtract up to five-digit numbers, including
columns of numbers, using appropriate strategies.
4-M-4.2.1d Multiply up to a three-digit number by a two-digit number
4-M-4.2.1e Divide up to a three-digit number by a one-digit divisor with
and without a remainder
4-M-4.2.1f Show in numeric form or explain in writing how to estimate
using addition, subtraction, and multiplication
4-M-4.2.1g Determine appropriate operation for problem solving(+/-/x/˜)
and solve word problems
4.2.2 Students will estimate, add, and subtract decimals without and with
calculators and solve word problems.
2-M-4.2.2 Add or subtract problems using money notations($
and decimals) with and without calculators
4-M-4.2.2 Line up decimal points in order to calculate and solve
addition and subtraction problems
3-M-4.2.2 Estimate and solve addition and subtraction problems using
money notation with and without calculators
4.2.3 Students will estimate, add, and subtract fractions with like
denominators without calculators and solve word problems.
4-M-4.2.3a Add and subtract common fractions (halves, fourths, and eighths)
with like and unlike denominators
4-M-4.2.3b Solve word problems choosing addition or subtraction
involving fractions of halves, fourths, and eighths
4.3 MEASUREMENT
4.3.1 Students will estimate, measure, and solve word problems using
metric units for linear measure, area, mass/weight, capacity, and temperature.
2-M-4.3.1a Estimate and accurately measure length to the nearest
centimeter or meter
2-M-4.3.1b Estimate and accurately measure mass/weight to the nearest
gram or kilogram
2-M-4.3.1c Estimate and accurately measure capacity to the nearest liter
3-M-4.3.1a Select sensible metric unit for a variety of linear
measures, areas, masses, and capacities (D)
3-M-4.3.1b Measure the dimensions of polygons and calculate or
estimate the area, using metric units (D)
3-M-4.3.1c Estimate and measure length to the nearest centimeter
3-M-4.3.1d Estimate and measure mass to the nearest gram and kilogram (D)
3-M-4.3.1e Estimate and measure volume to the nearest liter and
milliliter (D)
3-M-4.3.1f Measure temperature in Celsius degrees (D)
3-M-4.3.1g Solve measurement story problems using metric units
4-M-4.3.1a Calculate commonly used relationships among metric units
of measure
4-M-4.3.1b Select and use appropriate units of measurement
4-M-4.3.1c Estimate and accurately measure length to the nearest meter
or centimeter and calculate
4-M-4.3.1d Estimate and accurately measure mass and weight to the
nearest gram
4-M-4.3.1e Estimate and accurately measure capacity to the nearest
milliliter
4-M-4.3.1f Measure and read temperature accurately to the nearest degree
Celsius
4-M-4.3.1g Solve measurement story problems using metric units
4.3.2 Students will estimate, measure, and solve word problems using
standard units for linear measure, area, mass/weight, capacity, and
temperature.
2-M-4.3.2a Estimate and accurately measure length to the nearest
inch, foot, and yard
2-M-4.3.2b Estimate and accurately measure mass/weight to the nearest
ounce and pound
2-M-4.3.2c Estimate and accurately measure capacity to the nearest cup,
pint, quart, and gallon
2-M-4.3.2d Read temperature accurately using a Fahrenheit thermometer
3-M-4.3.2a Select sensible standard unit for a variety of linear
measures, areas, weights, and capacities
3-M-4.3.2b Measure the dimensions of polygons and calculate or
estimate the area, using standard units
3-M-4.3.2c Estimate and measure length to the nearest inch and half inch
3-M-4.3.2d Estimate and measure weight to the nearest pound and ounce
3-M-4.3.2e Estimate and measure volume to the nearest cup, pint, quart,
and gallon
3-M-4.3.2f Measure temperature in Fahrenheit degrees
3-M-4.3.2g Solve measurement story problems using standard units
4-M-4.3.2a Calculate commonly used relationships among standard
units of measure
4-M-4.3.2b Select and use appropriate units of measurement
4-M-4.3.2c Estimate and accurately measure length to the nearest
yard, foot, inch, and quarter inch, and calculate area
4-M-4.3.2d Estimate and accurately measure mass/weight to the nearest
ounce and pound
4-M-4.3.2e Estimate and accurately measure capacity to the nearest fluid
ounce
4-M-4.3.2f Measure and read temperature accurately to the nearest degree
Fahrenheit
4-M-4.3.2g Solve measurement story problems using standard units
4.3.3 Students will tell and write correct time to the minute on an
analog clock.
2-M-4.3.3a Tell time correctly to the nearest five minute increment
on an analog clock
2-M-4.3.3b Write time notations (ex. 1:25)
2-M-4.3.3c Recite days of the week and months in a year incorrect order
2-M-4.3.3d Use ordinal numbers to describe days in a month
2-M-4.3.3e Identify the time of day (A.M., P.M., noon, midnight) (D)
3-M-4.3.3a Tell time to the nearest minute on an analog clock
3-M-4.3.3b Set an analog clock to a given time
3-M-4.3.3c Use a calendar to determine elapsed time
4-M-4.3.3 Calculate elapsed time between two given times
4.3.4 Students will measure and determine the perimeter of a many-sided
figure without a formula using standard and metric units of measure.
2-M-4.3.4 Define perimeter and measure the perimeter of a simple
geometric shape with metric and standard units of measure
3-M-4.3.4 Measure the perimeter of polygons using both standard and
metric units
4.4 GEOMETRY/SPATIAL CONCEPTS
4.4.1 Students will identify, describe, and create two- and
three-dimensional geometric shapes.
2-M-4.4.1a Identify, describe, or create geometric shapes(e.g.,
square, circle triangle, trapezoid, rectangle, rhombus, hexagon, and pentagon)
2-M-4.4.1b Identify, describe, or create three dimensional shapes (e.g.,
cube, sphere, cylinder, pyramid, triangular prism, and rectangular prism)
2-M-4.4.1c Draw open and closed figures
3-M-4.4.1a Identify and describe or create two-dimensional geometric
shapes (hexagon, octagon, trapezoid, quadrangle, rhombus, rectangle,
parallelogram)
3-M-4.4.1b Identify and describe or create a rectangular prism, cube,
cone, cylinder, pyramid, and triangular prism.
4.4.2 Students will identify and draw points, lines, line segments, rays,
and angles.
2-M-4.4.2a Identify and draw points and line segments
3-M-4.4.2a Identify, draw, and label points, lines, line segments,
and rays
3-M-4.4.2b Identify and draw right angles
4-M-4.4.2a Identify, draw, and label points, rays, lines, line
segments, including parallel and intersecting lines/line segments
4-M-4.4.2b Identify, draw, and label a variety of angles, i.e., right
(90 degrees), more than 90 degrees but less than 180 degrees, less than 90
degrees
4.4.3 Students will identify, analyze, and compare two-dimensional
geometric figures using congruence, symmetry, similarity, and simple
transformations.
2-M-4.4.3 Define and identify symmetry
3-M-4.4.3a Identify figures that are symmetrical and draw lines of
symmetry
3-M-4.4.3b Compare figures for congruency and similarity. (D)
4-M-4.4.3a Define congruency
4-M-4.4.3b Define symmetry and identify symmetrical figures
4-M-4.4.3c Identify similar geometric figures
4-M-4.4.3d Demonstrate simple transformations (flip, slide, turn)
4.5 DATA ANALYSIS, PROBABILITY, AND STATISTICAL CONCEPTS
4.5.1 Students will collect, organize, record,
and interpret data and describe the findings.
2-M-4.5.1a Use charts, graphs, and tables to interpret and
communicate data
2-M-4.5.1b Draw conclusions from simple charts and graphs
3-M-4.5.1 Collect, organize, record, and interpret data using a
variety of charts, graphs, and written/oral explanations
4-M-4.5.1a Collect and organize data using a variety of charts,
graphs, and written/oral explanations
4-M-4.5.1b Interpret and communicate data to find median, mode, maximum,
minimum, and range
4.6 ALGEBRAIC CONCEPTS
4.6.1 Students will use and interpret variables and mathematical symbols
to write and solve one-step equations.
2-M-4.6.1 Use boxes or lines to represent missing numbers in number models
(i.e., 16 = __+ 9 or 14 - __ =10)
3-M-4.6.1a Use boxes or lines to represent numerical values of
missing addends/factors in a number model (e.g., __ x 6 =42 OR 13 = 6 + __)
3-M-4.6.1b Identify and use various symbols for the operations of
multiplication and division (D)
4-M-4.6.1a Use letters, boxes, or other symbols to stand for any
number, measured quantity, or object in simple situations to demonstrate the
beginning concept of a variable and writing formulas
4-M-4.6.1b Identify and use various symbols for the operations of
multiplication (*, x) and division ( /, ˜ )
4.6.2 Students will identify, describe, and extend arithmetic patterns,
using concrete materials and tables.
2-M-4.6.2a Identify patterns found in a 100 number grid
2-M-4.6.2b Locate arrays in the real world and use them for beginning
multiplication
2-M-4.6.2c Create equal shares using real world objects for beginning
division
3-M-4.6.2 Identify and extend number patterns (e.g., 2, _, _ , 8,
10, "frames and arrows," "number grids.")
4-M-4.6.2 Identify and use arithmetic patterns to solve number
problems