List of Strands


Goals under Algebra
 Apply commutative
property of addition of whole numbers.

Apply commutative property of multiplication of Whole Numbers.

Apply identity property of addition to whole numbers.

Apply the distributive property of multiplication over addition.

Choose a number pattern that describes the figure pattern.

Choose appropriate symbols for operations and relations to make a number sentence
true.
 Choose the
number sentence that matches a given story.

Choose the story that matches given number sentence.

Comparing whole numbers as greater than, less than, or equal to one another using
words or symbols.
 Complete
a given numeric pattern.

Complete a pattern by supplying missing elements in the pattern.

Construct simple open sentences involving addition or subtraction.
 Create
or replicate a numerical pattern showing 3 repetitions.

Create, describe and extend number patterns using multiplication.

Create, describe, extend, and explain addition and subtraction patterns.

Demonstrate an understanding of equality by recognizing that the equal sign links
equivalent quantities.

Determine the output number for a particular input number given a oneoperation
function rule involving addition or subtraction.

Extend a given geometric pattern.

Find a missing element in a geometric pattern.

Finding the missing number in number sentence using addition or subtraction.

Finding
the missing number in number sentence using multiplication or division.

Identify
distributive property and use them to compute with whole numbers.
 Identify the change over time.

Identify/describe the rule for a figure pattern shown.

Identify/describe the rule for a number pattern shown.

Recognize and model multiplication as a rectangular array.

Recognize and use the Associative Properties of Addition for singledigit Whole
Numbers.

Recognize and use the associative properties of addition.

Recognize and use the associative properties of multiplication.

Recognize and use the Commutative Properties of Addition for singledigit Whole
Numbers.

Recognize and use the Commutative Properties of Multiplication for singledigit
Whole Numbers.

Recognize and use the Identity Properties of Multiplication for singledigit Whole
Numbers.
 Recognize
and use zero property of multiplication.

Represent multiplication as repeated addition.

Represent patterns using words, tables or graphs.

Solve realworld problems using addition of whole numbers.

Solve realworld problems using subtraction of whole numbers.

Solve simple problems involving a functional relationship between two quantities.

Use a single
variable to create a problem situation based on a given open sentence.
 Use input/output model with
grade appropriate functions.

Use symbols to represent unknown quantities in number sentences.

Use the identity property of multiplication on whole numbers in computations and
problem situations.

Use the inverse relationship of multiplication and division to compute and check
results.

Write number sentences using +, , ×, ÷, <, and/or > to represent
mathematical relationships in everyday situations.
Goals under Can we Share?
Goals under Data Analysis and Probability
 Analyze data by using the terms “maximum”
or “minimum”.

Choose and construct representations that are appropriate for the data set.

Classify events using words such as certain, most likely, equally likely, least
likely, possible, and impossible.

Complete missing parts of a pictograph, bar graph, tally chart, or table for a given
set of data.

Construct bar graphs using appropriate scales of one, two, three, four, five, or
ten.
 Construct frequency
tables.
 Construct line (dot) plots
for data sets.
 Construct line
graphs.
 Construct Pictographs.

Describe the probability
of chance events.

Designs appropriate questions for a survey.

Draw and interpret picture graphs.

Interpret bar graphs.

Interpret data contained in line plots using a variety of intervals.
 Interpret data using frequency
tables.
 Interpret line graphs.

Interpret pictographs.
 Interpreting data from tally charts.

Make and justify valid inferences, predictions, and arguments based on statistical
analysis.
 Organize and
display data using bar graphs.

Organize and display data using tallies.

Read scales on the axes and identify the maximum, minimum, and range of values in
a bar graph.

Read, describe, and organize a twocircle Venn diagram.

Represent the possible outcomes for a simple probability situation.
Goals under Fun with Give and Take
Goals under Fun with Number
Goals under Geometry

Analyze threedimensional geometric figures and identify relevant properties, including
the number of corners, square corners, edges, and the number and shape of faces.

Analyze twodimensional geometric figures and identify relevant properties.

Classify polygons by the number
of sides.
 Classify
triangles by lengths of sides.

Define and label the parts of a circle: center, radius, diameter, and chord.

Determine which new figure will be formed by combining and subdividing models of
existing figures.

Identify and describe line symmetry in twodimensional shapes and designs.

Identify and describe spatial relationships of two or more objects in space: Direction,
orientation, and perspectives.

Identify and draw representations of lines that illustrate intersection, parallelism,
and perpendicularity.

Identify attributes of quadrilaterals.

Identify common solid objects that are the components needed to make a more complex
solid object.

Identify congruent and similar figures.

Identify figures which are congruent.

Identify parallel lines.

Identify right angles in geometric figures or in appropriate objects and determine
whether other angles are greater or less than a right angle.

Identify similar figures.

Identify, give properties of, and distinguish among points, lines, line segments,
planes, rays, and angles.

Identifying threedimensional shapes.

Interpret twodimensional representations of threedimensional objects.

Locate and identify
points using numbers and symbols on a grid.

Predict and describe the results of sliding, flipping, and turning twodimensional
shapes.

Recognizing reallife examples of perpendicular, and parallel lines.
Goals under Give and Take
Goals under How Many Times?
Goals under Jugs and Mugs
Goals under Long and Short
Goals under Measurement

A plane figure which can be covered without gaps or overlaps by n unit squares is
said to have an area of n square units.

Adding and subtract lengths using mixed units within the same measurement system.

Adding and subtract
lengths within the same measurement system.

Calculate elapsed time in days and weeks, using a calendar.

Calculate elapsed time in hours, half hours, and quarter hours.

Calculate elapsed time using a calendar.

Classifying triangles according to the lengths.

Compare Capacity using appropriatesized U.S. customary and metric units.

Compare
weight and mass using appropriatesized U.S. customary and metric units.

Comparing customary units.

Comparing metric units.

Comparing the size
of a given angle with a right angle and classify as obtuse, acute, or right.

Comparing total values
of combinations of coins less than $5.00.

Comparing units of measure between customary and metric systems.

Compute elapsed time upto an hour and half hour to solve problems.
 Convert customary units of
length with in customary units.

Convert customary units of volume with in customary units.

Convert customary units of weight with in customary units.

Convert measurements of length within the metric system.

Convert measurements of weight/mass within the metric system.

Convert units of measurement of volume within the metric system.

Count amounts of money through $5.00 using pictures or actual bills and coins.

Determine the value
of a collection of coins and bills.

Develop strategies and determine perimeters of polygons.

Estimate and determine capacity using the nearest ounce.

Estimate and determine weight or mass using the nearest ounce for weight and the
nearest gram for mass.

Estimate and find area of an irregular figure(s) shown on a grid.
 Estimate capacity using metric
units.
 Estimate
capacity using U.S. customary units.

Estimate length using metric units.

Estimate length using U.S. customary units.

Estimate the conversion of Celsius and Fahrenheit units relative to familiar situations
(water freezes at 0° C and 32° F, water boils at 100° C and 212° F, and normal body
temperature
 Estimate
weight using Metric units.

Estimate weight using U.S. customary units.

Estimate, measure, and solve problems involving time using appropriate standard
units and tools.
 Find the area of
a rectangle using a grid.

Find the area of a rectangle with wholenumber side lengths by tiling it.

Find the area of an irregular figure.

Find the area of triangles.
 Find the perimeter of a rectangle on a
grid.
 Find
the perimeter of a squares and rectangles using formulas.

Find the perimeter of squares using grids.

Finding areas of rectilinear figures by decomposing them into nonoverlapping rectangles
and adding the areas of the nonoverlapping parts.

Identify and select appropriate units to measure perimeter.

Identify equivalent periods of time, including relationships among days, months,
and years, as well as minutes and hours.

Identify figures which are congruent.

Identify right angles in geometric figures or in appropriate objects and determine
whether other angles are greater or less than a right angle.

Identify times of the day and night as AM and PM.

Identify U.S. Customary units of length, weight, capacity.

Identify, describe, and classify polygons.

Know and use common units of measurements in time.

Know benchmark temperatures such as freezing (32ºF, 0ºC); boiling (212ºF, 100ºC);
and compare temperatures to these.

Know, explain, and use equivalent representations including the use of mathematical
models for addition and subtraction of money.

Make change using fewest possible number of coins.

Make change using paper bills to ten dollars.

Measure areas by counting unit squares (square cm, square m, square in, square ft,
and improvised units).

Measure length to the nearest 1/4 inch, 1/2 inch or nearest centimeter.

Measure length to the nearest 1/4 inch.

Measure length
to the nearest inch, quarterinch, and millimeter.

Measure objects, using ounces and pounds.

Measures time before and after the hour.

Ordering and compare dollars and coins by making equivalent amounts up to $10.00.

Read and write
amounts of money using the dollar sign ($) and decimal notation (.).
 Read and write time
to the nearest hour, halfhour, and quarterhour.

Recognize that 60 minutes equals 1 hour.

Recognize the relationship between meters and yards, kilometers and miles, liters
and quarts, and kilograms and pounds.

Restate the time in multiple ways given an analog clock to the nearest oneminute.

Select and use appropriate operations to solve addition and subtraction problems,
including those involving money.

Select and use appropriate standard units of measure and measurement tools to solve
reallife problems: Area â€“ square inch, square centimeter.

Select the appropriate type of unit for measuring the attribute Length using both
the U.S. Customary and metric systems.

Select the appropriate type of unit for measuring the attribute volume or capacity
using both the U.S. Customary and metric systems.

Select the appropriate type of unit for measuring the attribute weight or mass using
both the U.S. Customary and metric systems.

Select units appropriate for the attributes being measured and explain the basis
for the selection  Area.

Selects and uses the appropriate tool for situational measures.

Solve problems involving money notation.

Solve problems involving the perimeter of a polygon with given side lengths.

Solve problems involving the value of a collection of bills and coins whose total
value is $10.00 or less, and make change.

Solve realworld problems involving elapsed time to the halfhour.

Solves realworld problems involving measurement using concrete and pictorial models
for the following: length â€¢ weight â€¢ time â€¢ capacity â€¢ temperature â€¢ angles.

Sort objects by two attributes.

Tell time to the nearest minute.

Use a ruler to measure to the nearest
1/2 inch.
 Use
a ruler to measure to the nearest centimeter.

Use a thermometer to measure temperature.

Use an analog and digital clock, tell time to the nearest 5 minutes.
 Use area models
to represent the distributive property.

Use concrete manipulatives or constructs models of cubic units for measuring volume
of a cube.

Use concrete manipulatives or constructs models of cubic units for measuring volume
of a rectangular prism.
Goals under Number and Operations
 Represent
a fraction a/b on a number line diagram by marking off a lengths 1/b from 0.

Add fluently two numbers through
9,999 without regrouping.

Add fluently two numbers through 999 with regrouping.

Adding commonly used fractions with like denominators.

Adding decimals up to hundredths.

Adding efficiently and accurately with two and/or threedigit whole numbers.

Adding fractions with like denominators.

Adding up to
fourdigit numbers accurately and efficiently.

Adding up to threedigit whole numbers without regrouping.

Adding up to twodigit whole numbers with regrouping.

Adding with fractions having like denominators of 12 or less, using concrete materials,
pictorial representations, and paper and pencil.

Addition of Combinations of twodigit, 3digit and 4digit Whole Numbers that are
multiples of 10 and 100.

Addition of onedigit Whole Number with a twodigit Whole Number.

Applies mental computation strategies to addition up to 3 digit numbers.

Applies mental computation strategies to subtraction up to 3 digit numbers.

Build understanding
place value of whole numbers up to 100,000.

Choose the corresponding division fact for the given multiplication fact.

Chooses, describes and explains estimation strategies used to determine the reasonableness
of solutions to realworld problems.

Classify numbers by their characteristics, including odd and even.
 Compare and
Order whole numbers through 4 digits using the words or the symbols.

Comparing and ordering fractions with like denominators using concrete models.

Comparing
and ordering fractions with like denominators with or without concrete models.

Comparing and ordering fractions with unlike denominators using concrete models.

Comparing and
ordering numbers up to 10,000 using the words less than, greater than, and equal
to.
 Comparing
and ordering whole numbers from 0 through 1,000.

Comparing and ordering whole numbers from 0 through 100,000.

Comparing and ordering whole numbers up to 9999 using the appropriate symbol.

Comparing fractions with like
denominators.

Comparing two decimals, through hundredths, using symbols.

Comparing whole numbers from 0 to 10,000.

Comparing whole numbers up to 4digits using symbols.

Computational fluency in multiplication up to twodigit by onedigit numbers.

Construct and analyze concrete models for multiplication of one and twodigit numbers.

Construct concrete models of equivalent fractions for fractional parts of whole
objects.

Count amounts of money through $5.00 using pictures or actual bills and coins.

Count
and perform simple computations with money: Cents notation.

Count by 2s, 3s, 5s, 10s, 25s and 100s.

Demonstrate an understanding of fractions as locations on the number line.

Demonstrate
an understanding of fractions as parts of a collection or set.

Demonstrate an understanding of fractions as parts of unit wholes.
 Demonstrate
proficiency with basic addition and subtraction facts.

Demonstrate the process of division with onedigit divisors.

Demonstrate understanding of the concept of division as repeated subtraction, partitioning/sharing
or measuring.
 Determine if any
number is even or odd.

Determine multiples of a given whole number with products through 24.
 Determine the unit cost
when given the total cost and number of units.

Determine the value of a variable in simple equations involving multiplication or
division.

Determine when and how to use estimation strategies to solve addition problems.

Determine when and how to use estimation strategies to solve subtraction problems.

Determining
the place value of a digit in a decimal to the hundredths.

Develop an understanding of decimals as part of a whole.

Develop an understanding of the properties of odd/even numbers as a result of addition
or subtraction.

Dividing a 2digit number by a 1digit divisor with remainder.

Dividing a 2digit number by a 1digit divisor without remainder.
 Dividing a 3digit
number by a 1digit divisor with remainder.

Dividing a 3digit number by a 1digit divisor without remainder.

Dividing regions and sets of objects into equal parts using a variety of objects,
models, and illustrations.

Estimating products of whole numbers by using appropriate strategies such as rounding,
frontend estimation, and compatible numbers.

Estimation of quotients in appropriate situations.

Explain different interpretations of fractions: division of whole numbers by whole
numbers.
 Explain
equivalents of fractions.

Express whole numbers as fractions, and recognize fractions that are equivalent
to whole numbers.

Express whole numbers up to 10,000 in expanded form.

Express whole numbers up to 999 in expanded form.

Find equivalent fractions for onehalf, onethird, and onefourth using manipulatives
and pictorial representations.

Find factors of whole numbers from 1 through 100.

Find multiples of whole numbers 2, 5, and 10.

Generate equivalent representations for a given number by decomposing and composing.

Identify and model representations of fractions (halves, thirds, fourths, fifths,
sixths, and eighths).

Identify and write (in words and standard form) whole numbers up to 100,000.

Identify place value through
tenthousands.

Identify the dividend, divisor, and quotient regardless of the division symbol used.

Identify the place value
of decimals through tenths.

Identify whole numbers on a number line.

Judge without counting whether a set of objects has less than, more than, or the
same number of objects as a reference set.

Know and understand that fractions and decimals are two different representations
of the same concept.

Know and understand that fractions and decimals are two different representations
of the same concept.

Know multiplication facts through 10 × 10 and related division facts and use
these facts to solve related problems.

Know multiplication facts through 10 × use these facts to solve related problems.

Make change using coins and paper
bills to ten dollars.

Mentally calculate simple products up to a threedigit number by a onedigit number
involving multiples of 10.

Mentally calculate simple quotients up to a threedigit number by a onedigit number
involving multiples of 10.

Model addition of decimals to hundredths.

Model and represent a mixed number as a whole number and a fraction.
 Model factors and
products using arrays and area models.

Model subtraction of decimals to hundredths.

Multiplying 2 or 3digit numbers by a 1digit number.

Multiplying whole numbers through 10 x 10.

Ordering and compare dollars and coins by making equivalent amounts up to $10.00.

Ordering numbers up to 10,000.

Perform
addition and subtraction by joining, separating, and comparing.

Read and write decimals through hundredths based on concrete and pictorial models.

Read and write numbers up 1,000.

Read and write numbers up to 10,000
in numerals and up to 1,000 in words.

Read and write whole numbers through 9999.

Recall basic multiplication facts and corresponding division facts.

Recognize and model multiplication as a rectangular array or as repeated addition.

Recognize fractional
numbers as equal parts of a whole.

Recognize fractions in their equivalent decimal form and vice versa.
 Relate
the area of a rectangle and its dimensions to area models for multiplication.

Represent a fraction 1/b on a number line diagram by defining the interval from
0 to 1 as the whole and partitioning it into b equal parts.

Represent fractions that are greater than or equal to 1 using models.
 Rounds two,
three, and fourdigit numbers to the nearer hundred.

Rounds two, three, and fourdigit numbers to the nearer ten.

Rounds two, three, and fourdigit numbers to the nearer thousand.

Select and use appropriate operations to solve addition and subtraction problems,
including those involving money.

Select and use appropriate operations to solve multiplication and division problems,
including those involving money.

Select, use, and explain various meanings and models of multiplication.

Skip count by 2s, 3s, 4s, 5s, 10s, 25’s, 50’s, 100’s
to 1,000.
 Solve
one step problems involving decimals.

Solve onestep word problems involving addition.

Solve onestep word problems involving subtraction.

Solve problems involving division of any whole numbers.

Solve problems involving subtraction of fractions with like denominators.

Solve problems that require
two or more of the skills mentioned above.

Solves realworld problems involving addition of whole numbers using an appropriate
method.

Solves realworld problems involving multiplication of whole numbers using an appropriate
method.

Solves realworld problems involving subtraction of whole numbers using an appropriate
method.
 Subtract
fluently two numbers through 9,999 without regrouping.

Subtract fluently two numbers through 999 with regrouping.

Subtracting decimals.

Subtracting efficiently and accurately with two and/or threedigit whole numbers.

Subtracting fractions with like denominators and express answers in simplest form.

Subtracting fractions with
like denominators.

Subtracting up to fourdigit numbers accurately and efficiently.

Subtracting whole numbers with regrouping.

Subtracting whole numbers without regrouping.

Subtracting with fractions having like denominators of 12 or less, using concrete
materials, pictorial representations, and paper and pencil.

Subtracts a onedigit Whole Number from a twodigit Whole Number.

Subtracts Combinations of twodigit and threedigit Whole Numbers that are multiples
of 10 and 100.

Understand a one place decimal fraction represents tenths.

Understand and recognize the meaning of numerator and denominator in the symbolic
form of a fraction.

Understand that any fraction can be written as a sum of unit fractions.

Understand that symbols such as ½, 1/3, and ¼ represent numbers called unit fractions.

Use a variety of
strategies to add fractions with like denominators.

Use concrete materials or pictures, determine commonly used percentages in problemsolving
situations.

Use grouping or sharing equally to model division.

Use mental math strategies to divide whole numbers.

Use number sentences to represent reallife problems involving division.

Use number sentences to represent reallife problems involving multiplication.

Use parentheses to indicate grouping.

Use the inverse relationship of multiplication and division to compute and check
results.

Use the inverse relationships between addition and subtraction to solve problems.

Use the place value structure of the base ten number system and be able to represent
whole numbers including thousands.

Using pictures, demonstrate addition of proper fractions with common denominators
of four or less.

Using pictures, demonstrate subtraction of proper fractions with common denominators
of four or less.

Write a number sentence represented by a picture or an array.
Goals under Play with Patterns
Goals under Rupees and Paise
Goals under Shapes and Design
Goals under Times Goes On
Goals under Where to Look From
Goals under Who is Heavier?
