List of Strands


Goals under A Trip to Bhopal
Goals under Algebra
 Apply the basic
properties of identity to solve problems.

Apply the distributive property of multiplication over addition.

Apply the distributive property to simplify calculations with decimals.

Apply the order of operations
in solving problems.

Choose appropriate symbols for operations and relations to make a number sentence
true.

Complete a function table using a given addition or subtraction rule.
 Complete a given numeric pattern.

Create
or replicate a geometric pattern showing 3 repetitions.

Create tables to record, organize and analyze data to discover patterns and rules.

Creates
a simple word problem for a given number sentence, diagram, or model.
 Demonstrate the zero property
for multiplication.

Describe, extend, and generalize geometric patterns.

Determine the missing elements in a function table given the rule.
 Determine the rule for
a function given a completed table.

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

Discover, describe, extend, and create a wide variety of patterns using tables,
graphs, rules, and models.

Evaluate and express relationships using open sentences with one operation.

Evaluate expressions involving the four basic operations by substituting given whole
numbers for the variable.

Extend numeric patterns.

Find a missing element in a geometric pattern.

Find a missing element in a numerical pattern.

Find a missing number that makes a number sentence true.

Identify/describe the rule for a figure pattern shown.

Identify/describe the rule for a numerical pattern shown.

Know and understand that equals added to equals are equal.

Know and understand that equals multiplied by equals are equal.

Knows and explains what happens to the quotient when a nonzero real number is divided
by zero.

Recognize and demonstrate the meaning of equality, using symbols representing numbers,
operations, and relations.

Recognize and use the associative properties of addition.

Recognize and use the associative properties of multiplication.

Recognize and use the commutative properties of addition.

Recognize and use the commutative property of multiplication.

Select appropriate relational symbols to make an expression true.

Simplify numerical expressions using the order of operations with gradeappropriate
operations on number sets.

Solve onestep equations with one variable represented by a letter or symbol using
multiplication/division of whole numbers.

Solve onestep equations with whole number solutions using addition/subtraction.

Solve onestep realworld problems involving addition of whole numbers.

Solve onestep realworld problems involving division of whole numbers.

Solve onestep realworld problems involving multiplication of whole numbers.

Solve onestep realworld problems involving subtraction of whole numbers.

Solve Word Problems
involving unknown quantities.

Understand that an equation such as y = 3 x + 5 is a prescription for determining
a second number when a first number is given.

Use a rule to generate a pattern.

Use and interpret formulas to answer questions about quantities and their relationships.

Use patterns
and relationships in a variety of realworld contexts.

Use variables in contextual situations.

Using charts and graphs, describe changes over time as increasing, decreasing, and
varying.

Write number sentences that represent onestep word problems using whole numbers.

Write number
sentences to represent reallife problems.
Goals under Building with Bricks
Goals under Building with Bricks (Additional Practice)
Goals under Carts and Wheels
Goals under Data Analysis and Probability
 Calculate the range of a data set.

Chooses reasonable titles, labels, scales and intervals for organizing data on graphs.

Collect data using observations, surveys, and experiments and record appropriately.

Construct bar graphs.

Construct frequency tables.
 Construct
line graphs.
 Construct line plots.

Construct Pictographs.

Describe the probability of events as being more likely, less likely, equally likely,
unlikely, certain, impossible, fair or unfair.

Describe types of graphs that may be used to represent numerical data.
 Designs appropriate questions
for a survey.

Determine the total number of possible outcomes for a given experiment using lists,
tables, and tree diagrams.

Explain what the median represents and how to find it in a set of data.

Explores the concepts of mean.

Express outcomes of experimental probability situations verbally and numerically.

Express the probability
of an event verbally.

Formulate conclusions and make predictions from graphs.

Identify the mode(s) of given data.

Interpret and construct Venn diagrams to sort and describe data.

Interpret bar graphs.

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

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

Read and interpret data from a problem solving situation in tally charts.

Read and interpret line graphs.

Understand
that the probability of an event can be represented by a number from 0 to 1.

Using models, determine
the probability of a given simple event.
Goals under Fields and Fences
Goals under Geometry
 Classify quadrilaterals
according to their properties.

Classify triangles as right, acute, or obtuse.

Classify triangles by lengths of sides.

Describe the path of shortest distance between two points on a flat surface.

Describe the path that results from following specific directions in moving from
one location to another.

Describe, model, draw, compare, and classify threedimensional shapes.
 Describe,
model, draw, compare, and classify twodimensional shapes.

Draws and classifies twodimensional figures having up to eight or more sides.

Explores tessellations.

Find the perimeter of a rectangle on a
grid.

Find the perimeter of a square or rectangle with only two sides labeled.

Graph,
locate, identify points, and describe paths using ordered pairs.

Identify a three–dimensional object from its net.

Identify and construct lines of symmetry.

Identify and describe solid figures.

Identify and describe the diameter, radius, chord, and circumference of a circle.

Identify angles as acute,
right, or obtuse.

Identify parallel, perpendicular, and intersecting 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 the faces on a threedimensional shape as twodimensional shapes.

Identify the properties of 2dimensional figures using appropriate terminology.

Identify whether
or not a figure has one or more lines of symmetry, and sketch or identify all lines
of symmetry.

Identify, describe, and classify polygons.

Identify, predict, and describe the results of transformations of plane figures:
Reflections.

Identify, predict, and describe the results of transformations of plane figures:
Rotations.

Identify, predict, and describe the results of transformations of plane figures:
Translations.

Locate and name points in the first quadrant on a coordinate grid.
 Recognize congruent
geometric figures.
 Recognize similar figures.

Solve problems
involving the area of rectangles and squares.

Understand and apply concepts involving lines: Point, line, line segment, endpoint,
angle.

Understand that the length of a horizontal line segment equals the difference of
the xcoordinates.

Understand that the length of a vertical line segment equals the difference of the
ycoordinates.
Goals under Halves and Quarters
Goals under How Heavy? How Light?
Goals under Jugs and Mugs
Goals under Jugs and Mugs (Additional Practice)
Goals under Long and Short
Goals under Long and Short (Additional Practice)
Goals under Measurement
 Calculate elapsed
time in hours and half hours, not crossing A.M./P.M.

Calculate elapsed time using a calendar.

Comparing customary Units.

Comparing metric units.

Construct and interpret line plots using fractions.

Convert capacity, weight/mass, and length within the English systems of measurement.

Convert capacity, weight/mass, and length within the metric systems of measurement.

Convert units of length
within the customary system.

Convert units of length within the metric system.

Convert units of time including days, hours, minutes, and seconds.
 Convert units of volume
within the customary system.

Convert units of volume within the metric system.

Convert units of weight within the metric system.

Convert weight/mass within the customary system.

Determines and estimates amounts of money up to $20, and adds and subtracts money
using decimal notation without and with regrouping.

Estimate and find area and perimeter of irregular shapes using diagrams, models,
and grids or by measuring.

Estimate the conversion of inches and centimeters, yards and meters, and miles and
kilometers, using approximate comparisons.

Estimate the conversion of ounces and grams and pounds and kilograms, using approximate
comparisons.

Estimate the conversion of quarts and liters, using approximate comparisons.

Estimate volume
using appropriate standard units.

Estimate weight/mass using appropriate standard units.

Estimates or predicts measures of length.

Explain concepts of angles as geometric shapes that are formed wherever two rays
share a common endpoint.

Find one dimension of a rectangle given the other dimension and its perimeter or
area.
 Find perimeter of a rectangle.

Find perimeter
of a Triangle, parallelograms and trapezoidz.

Find perimeter of complex shapes.

Find the area of a rectangle using a grid.

Find the area of rectangle.
 Find the
area of squares.
 Find the area of
triangles.
 Find the perimeter
of a rectangle on a grid.
 Find
the perimeter of a square.

Find the side of a square given its perimeter or area.

Identify and select appropriate units to measure perimeter.

Identify equivalent periods of time, including relationships among weeks, months,
and years.

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

Identify time to the minute on analog clocks using a.m. and p.m.

Identify time to the minute on digital clocks.

Know the difference between perimeter and area and when each is appropriate to use.

Know the units of measure of volume: cubic centimeter, cubic meter, cubic inches,
cubic feet, cubic yards, and use their abbreviations.

Make reasonable estimates of lengths of familiar objects.

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

Measure length to the nearest inch and
3/4 inch.

Read temperature using fahrenheit and celsius scales.

Reading and writing in money involving coins and bills.

Recognize that rectangles that have the same area can have different perimeters.

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

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

Select and use units of appropriate size and type to measure length, perimeter,
area and volume.

Select appropriate unit used to measure the length of an object.

Select appropriate unit used to measure the mass of an object.

Select appropriate units to measure capacities of familiar objects.

Solve problems involving elapsed time.

Solve problems involving perimeter of simple polygons.

Solve problems involving the area of rectangles and squares.

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

Solve problems involving the value of a collection of bills and coins whose value
is $1000.00 or less.
 State the
number of weeks in a year.

Understand that rectangles that have the same perimeter can have different areas.

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

Use formulas for the perimeters and areas of polygons to find the area of complex
shapes by dividing them into basic shapes.

Use the four operations to solve word problems involving distances problems involving
simple fractions or decimals.

Use the four operations to solve word problems involving liquid volumes problems
involving simple fractions or decimals

Use the four operations to solve word problems involving masses of objects problems
involving simple fractions or decimals.
Goals under Measurement and Data
Goals under Number and Operations
 Add and subtract accurately
and efficiently.

Add commonly used fractions with like denominators.

Add decimals through hundredths using concrete and pictorial models.
 Add decimals through hundredths.

Add fractions with unlike denominators.

Add mixed numbers with common
denominators.
 Add whole
numbers with or without regrouping.

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

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

Adding equivalent fractions with denominators 10 and 100.

Applies mental computation strategies to addition.

Applies mental computation strategies to subtraction.

Apply divisibility rules for 2, 5, and 10.

Apply the order of operations in solving problems.

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

Compare and order fractions with like denominators with or without concrete models.

Compare and order fractions with unlike denominators using pictorial representations.

Compare and order
fractions with unlike denominators.

Compare and order whole numbers from 0 through 100,000.

Compare and order whole numbers less than 10,000.

Compare decimals to the hundredths place.

Compare decimals using symbols and words.

Compare proper fractions to 16ths with like and unlike denominators.
 Compare whole numbers through
6 digits.

Computational fluency in division using contextual problems using threedigit by
twodigit division.

Computational fluency in multiplication using contextual problems using twodigit
by twodigit multiplication.

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

Convert improper fractions to mixed numbers, and mixed numbers to improper fractions.

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

Count by 2s, 3s, 5s, 10s, 25s and 100s starting with any multiple and 100s starting
with any number. Identify and name counting patterns.

Demonstrate an understanding of and the ability to use the conventional algorithm
for division of up to a threedigit whole number with a singledigit divisor.

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

Demonstrate an understanding of fractions as parts of unit wholes, as parts of a
collection.

Demonstrate an understanding of the concepts of prime and composite numbers.

Demonstrate
the process of division with onedigit divisors.

Describe or illustrate the relationship between addition and subtraction.

Describe or illustrate the relationship between multiplication and addition.

Describe or illustrate the relationship between multiplication and division.

Determine
common multiples of pairs of whole numbers each of which is less than or equal to
12.
 Determine if any number is
even or odd.

Determines and estimates amounts of money up to $20, and adds and subtracts money
using decimal notation without and with regrouping.

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

Determining the place value of a digit in a whole number to hundredthousands.

Develop an understanding of the properties of odd/even numbers as a result of multiplication.

Divide a 3digit number
by a 1digit divisor with remainder.

Divide decimals up to two decimal places by a onedigit whole number where the result
is a terminating decimal.

Divide fluently up to a fourdigit number by a twodigit number.

Divide up to a threedigit whole number with a singledigit divisor accurately and
efficiently and interpret any remainders.

Estimate sums and differences in money to determine if a given answer is reasonable.

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

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

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

Exhibit an understanding of the base ten number system by reading, naming, and writing
decimals between 0 and 1 up to the hundredths.

Explain different interpretations of fractions: as parts of a set.
 Explain
different interpretations of fractions: as parts of a whole.

Explain how a remainder may impact an answer in a realworld situation.

Explain the effect on
the product when one of the factors is changed.

Express decimals in expanded form using no more than 2 decimal places and numbers.

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

Find factors of whole numbers from 1 through 10.

Find factors of whole numbers from 1 through 100.

Find the difference of fourdigit numbers and describe the process used.

Find the multiples of whole numbers.

Find the products of
2digit whole numbers by multiples of 10.

Find the sum of fourdigit numbers and describe the process used.
 Identify and locate decimals
on a number line.

Identify and represent multiples of whole numbers through 100.

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

Identify place value through
tenthousands.
 Identify
prime numbers.

Identify the place value and actual value of digits in a number to one million.

Identifying a number when given a pictorial representation of groups of ones, tens,
hundreds, and thousands.

Interpret and understand the relationship between dividend, divisor, quotient, and
remainder.

Interpret negative integers in temperature.

Know multiplication facts through 12 × 12 and related division facts and use
these facts to solve related multiplication problems and compute related problems.

Knows
and explains what happens to the quotient when a nonzero real number is divided
by zero.

Locate improper fraction on the number line expressed as mixed number.
 Make models that represent
improper fractions.

Make models that represent mixed numbers.

Model factors and products using arrays and area models.

Model multiplication of 2digit number by a 1digit number.

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

Multiply 3digit number by 2digit number.

Multiply accurately and efficiently.

Multiply decimals up to two decimal places by a onedigit whole number.

Multiply fluently any
whole number by a onedigit number.

Multiply multidigit numbers by twodigit numbers.

Multiply twodigit numbers by onedigit number using the distributive property.

Multiply whole numbers through 10 x
10.
 Order and
compare whole numbers to one million.

Order decimals through the hundredths.

Order three or more fractions or proper or improper fractions.

Order whole numbers through 6 digits.

Order, and compare decimals to thousandths with and without models and pictorial
representations.

Read and write amounts of money using the dollar sign ($) and decimal notation (.).

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

Read and write whole
numbers in word, standard, and expanded form through 1,000,000.

Read, write and rename decimal numbers to the hundredths.

Reading and writing whole numbers.

Reads, writes, and identifies fractions and mixed numbers with denominators including
2, 3, 4, 5, 6, 8, 10, 12, 20, 25, 100, and 1000.

Recall basic multiplication facts and corresponding division facts.

Recognize and generate equivalent fractions using manipulatives, visual models,
and illustrations.

Recognize and model division as separating quantities into equal subsets or as repeated
subtraction.

Recognize classes to which a number may belong, and identify the numbers in those
classes.

Recognize equivalent representations for the same number and generate them by decomposing
and composing numbers.

Recognize fractions in their equivalent decimal form and vice versa.

Represent simple mathematical relationships with number sentences.
 Round decimals to a given place
value.

Round to the nearest whole number, tenth, and hundredth.

Round whole numbers expressed through millions to the nearest 1,000, 10,000, and
100,000.

Round whole numbers expressed through millions to the nearest 10.
 Round whole
numbers expressed through millions to the nearest 100.

Round whole numbers expressed through millions to the nearest thousand.

Rounding a decimal
fraction to the nearest whole number.

Select appropriate operation(s) to solve problems.

Select, sequence, and use appropriate operations to solve multistep word problems
with whole numbers.

Selects corresponding representations of decimal numbers.

Skip count by 1,000

Solve one step problems involving decimals.

Solve problems by multiplying twodigit whole numbers by onedigit numbers.

Solve problems involving
addition of decimals.

Solve problems involving addition with decimals through the tenths.
 Solve problems
involving making change, using both coins and paper bills.

Solve problems involving subtraction of decimals.

Solve problems involving subtraction with decimals through the tenths.

Solve problems involving the value of a collection of bills and coins whose total
value is $100.00 or less, and make change.

Solve reallife problems involving addition of fractions with unlike denominators.

Solve reallife problems involving subtraction of fractions with like denominators.

Solve reallife problems involving subtraction of fractions with unlike denominators.

Solve two step problems involving
decimals.

Solve Word Problems involving Multiplication of a Fraction by a Whole Number

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

Solves realworld problems involving division 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.
 State
multiplication and division facts through 12s.

Subtract decimals through hundredths using concrete and pictorial models.

Subtract decimals to hundredths.

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

Subtract fractions with unlike denominators and express answers in simplest form.

Subtract mixed numbers
with common denominators.

Subtract whole numbers with and without regrouping.

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

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

Understand that many whole numbers break down in different ways.

Understand the place value structure of the base ten number system.
 Understand whole
numbers to 1,000,000 by reading and writing.

Understand whole numbers to ten thousands by reading and writing.

Understandings of Multiplication to Multiply a Fraction by a Whole Number

Use a variety of strategies to divide twodigit dividends by onedigit divisors.

Use basic number combinations to compute related problems in division using multiples
of 100 and 1,000.

Use basic number combinations to compute related problems in multiplication using
multiples of 100 and 1,000.

Use concrete and pictorial models to relate whole numbers, commonly used fractions,
and decimals to each other, and to represent equivalent forms of the same number.

Use concrete objects and visual models to add and subtract common fractions with
like denominators.

Use concrete objects and visual models to add and subtract common fractions.

Use Decimal notation
for Fractions with denominators 10 or 100

Use factors of numbers: to find common factors of two numbers.

Use mental math strategies to divide whole numbers.

Use strategies to estimate computations involving decimals.

Use strategies to estimate computations involving fractions.

Writing a number in expanded notation through hundredthousands.
Goals under Number and Operations—Fractions
Goals under Play with Patterns
Goals under Tables and Shares
Goals under The Junk Seller
Goals under The Junk Seller (Additional Practice)
Goals under The Way The World Looks
Goals under TickTickTick
