List of Strands


Goals under Area and its Boundary
Goals under Be My Multiple, I Will be Your Factor
Goals under Boxes and Sketches
Goals under Can You See the Pattern?
Goals under Data Analysis and Probability

Calculates the probability of a particular event occurring from a set of all possible
outcomes.

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

Collect,
organize, construct and interpret data using circle graphs.

Construct bar graphs.

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

Describe events such as likely or unlikely and explain the degree of likelihood
using words, such as certain, equally likely, and impossible.

Determine the mean / average.

Determine the median of a data set.
 Determine
the mode of a data set.

Explain the difference in representing categorical and numerical data.
 Explain what type of graph may be
appropriate for a given data set.

Express the probability of a singlestage event in words.

Find range of a data set.

Formulate questions to collect, organize and display data.

Given a set of data, find the maximum, minimum, and range, and apply to solutions
of problems.
 Interpret bar graphs.

Interpret data from double bar graphs.

Know how to write ordered pairs
correctly.

List and explain all possible outcomes in a given situation.

Make and justify valid inferences, predictions, and arguments based on statistical
analysis.
 Read and interpret line
graphs.
 Read and interpret line
plots.
 Represent
and interpret data using frequency tables

Represents all possible outcomes for a simple probability situation or event using
models such as organized lists, charts, or tree diagrams.
Goals under Does it Look the Same?
Goals under Geometry

Calculate perimeter of basic geometric shapes drawn on a coordinate plane.

Classify and describe threedimensional geometric objects by using their properties.

Classify angles
as right, obtuse, acute, or straight.

Classify shapes as congruent.

Classifying triangles according to the angles.

Compare and contrast the relationships among quadrilaterals.

Compare and estimate angles using referents.

Construct a cube and rectangular box from twodimensional patterns and use these
patterns to compute the surface area for these objects.

Determine congruence of segments, angles, and polygons by direct comparison, given
their attributes. Examples of non congruent and congruent figures will be included.

Determine
the sum of the measures of interior angles of quadrilaterals.

Determines line of symmetry

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

Find the measure of the missing
angle in a triangle.

Identify a three dimensional object from its net.

Identify and count the faces, edges, and vertices of basic threedimensional geometric
solids including cubes, rectangular prisms, and pyramids; describe the shape of
their faces.

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

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

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

Identify shapes that have rotational symmetry.

Identify similar figures.

Identify triangles as scalene, isosceles, or equilateral.

Identify, describe, and label points, lines, rays, line segments, vertices, angles,
and planes using correct symbolic notation.

Identify, describe, and predict results of reflections, translations, and rotations
of two dimensional shapes.

Identify/classify/compare quadrilaterals according to sides and angles.

Label vertex, interior
and exterior for an angle.

Locate points of given coordinates on a grid or identifying coordinates for a given
point.

Plot points to form basic geometric shapes (identify and classify).

Sketch the front, top, and side views of a model of a threedimensional shape built
with cubes.

Solves problems by using the property that the sum of the angles in a triangle is
180 degrees.

Understand that 90??, 180??, 270??, and 360?? are associated with quarter, half,
threequarters, and full turns, respectively.

Using appropriate vocabulary, describe properties of circles.
Goals under How Big? How Heavy?
Goals under How Big? How Heavy? (Additional Practice)
Goals under How Many Squares?
Goals under Mapping Your Way
Goals under Measurement
 Apply formulas to find perimeter
of rectangles.

Apply the concepts of elapsed time in reallife situations.

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

Calculate elapsed time within a.m. or p.m. time periods.

Calculate elapsed time.

Calculate the perimeter of parallelograms.

Classify triangles as right, acute or obtuse.

Compare customary units.
 Compare
metric units.

Conversion of Celsius and Fahrenheit units.

Convert units of area within customary system.

Convert units of area within metric system.

Convert units of capacity within the customary system.

Convert units of capacity within the metric system.

Convert units of length within the customary system.

Convert units of length within the metric system.

Convert units of mass within the customary system.

Convert units of mass within the metric system.

Convert units of time including days, hours, minutes, and seconds.
 Converting
units of length, weight, or capacity from metric to customary and from customary
to metric.

Describe and determine the perimeter of polygons.

Determine the volume of a solid figure made of cubes in which each edge has the
length of 1 unit.

Determine volume of irregular shapes by counting cubes.

Develop, understand, and use formulas to find the area of rectangles and related
triangles and parallelograms.

Estimate and measure capacity using appropriate standard units of customary system.

Estimate and measure capacity using appropriate standard units of metric system.

Estimate and measure length using appropriate standard units of customary system
.

Estimate and measure length using appropriate standard units of metric system .

Estimate and measure weight/mass using appropriate standard units of customary system.

Estimate and measure weight/mass using appropriate standard units of metric system.

Estimate and/or find
the area and perimeter of an irregular figure(s) shown on a grid.
 Estimate the measures of angles.

Find areas of rectangles.
 Find areas of squares.

Find surface areas of rectangular prisms by counting cubes.

Find the area of a parallelogram.

Find the area of a rectangle using a grid.

Find the area of a triangle.

Find the circumference of a circle using a given formula.
 Find the missing angle in a triangle.

Find the perimeter of a rectangle on a
grid.
 Find the perimeter of squares.

Find the perimeter of trapezoids.

Find the perimeter of triangles.

Finding perimeter of complex
shapes.

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

Identify angles as acute.

Identify angles as obtuse.

Identify angles as right.

Identify appropriate
tools and units with which to measure weight.

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

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

Make reasonable estimates of length, weight, and volume of familiar objects.

Measure angles using a protractor.

Measure angles.

Measure length to the nearest half, fourth, eighth, and sixteenth of an inch.

Problems
involving surface areas of rectangular prisms.

Read and write money mounts.

Read temperature using fahrenheit and celsius scales.

Recall equivalencies associated with length, liquid volume, and mass between systems.

Select appropriate standard units and tools to measure capacities of familiar objects
in customary units.

Select appropriate standard units and tools to measure capacities of familiar objects
in metric system.

Select appropriate standard units and tools to measure length.

Select appropriate standard units and tools to measure the volume in customary units.

Select appropriate standard units and tools to measure the volume in metric system.

Select
appropriate standard units and tools to measure weight in customary units.

Select appropriate standard units and tools to measure weight in metric system.

Simulate
multiple purchases and calculating the amount of change from given bills up to $100.00.

Solve problems involving area of a rectangles and squares given the appropriate
measures.

Solve problems involving changes in temperature.

Solve problems involving counting money using both coins and paper bills.

Solve problems
involving making change, using both coins and paper bills.

Solve problems involving the area of a circle.

Solve problems involving volume of a right, rectangular prism using an appropriate
formula.

Solve problems using the formulas for determining volume of a cube.
 State the number of weeks in a year.

Tell time using analog clocks
to the nearest minute and using AM or PM.

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

Use a ruler to measure to the nearest 1/4 inch.

Use a ruler to measure to the nearest 1/8 inch or millimeter.

Use a ruler to measure to the nearest centimeter.

Use appropriate customary measurement tools for length, capacity and mass.

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

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

Uses customary and metric units to measure temperature.
Goals under Number and Operations

Accurately and efficiently add mixed numbers with like denominators and with unlike
denominators.

Accurately and efficiently add whole numbers.

Accurately and efficiently subtract mixed numbers with like denominators and with
unlike denominators.

Accurately and efficiently subtract whole numbers.

Add commonly used fractions with like denominators.

Add commonly used fractions with unlike denominators.

Add decimal numbers up to three decimal places.

Add fractions with unlike denominators.

Add mixed numbers with like denominators.

Add mixed numbers with unlike denominators.

Add whole numbers vertically and horizantally.

Add whole numbers with or without regrouping.

Addition of fractions (like denominators), and express answers in the simplest form.

Build understanding
of place value using whole numbers.

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

Compare and Order decimals to thousandths.
 Compare and order
fractions with like denominators.

Compare and order fractions with unlike denominators using pictorial representations.

Compare and order fractions, improper fractions and mixed numbers with like denominators.

Compare and order fractions, improper fractions and mixed numbers with unlike denominators.

Compare and order integers.

Compare and order whole numbers.

Compare decimals through the hundredths.

Compare decimals using symbols
and words
 Compare fractions
using <,>, or =.

Compare proper fractions to 16ths with like and unlike denominators.
 Compare whole numbers
through 9 digits using the words or the symbols

Compares and orders whole numbers through millions or more, using concrete materials,
number lines, drawings, and numerals.

Comparing the size of a product to the size of one factor on the basis of the size
of the other factor.

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

Create equivalent fractions,
given a fraction.

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

Demonstrate an understanding of how Parantheses affect expressions involving addition,
subtraction, and multiplication, and use that understanding to solve problems.

Demonstrate an understanding
of powers of ten.

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

Demonstrate
proficiency with division with onedigit divisors.

Demonstrate the meaning of square numbers and square roots using pictorial or concrete
materials.

Demonstrate understanding of the concept of division as partitioning/sharing or
measuring.
 Determine if any number
is even or odd.
 Determine the greatest
common factor.

Determine the least common multiple.

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

Determining divisibility by 2, 3, 4, 5, 6, 9, and 10.

Develop and use algorithms: to divide decimals by whole number divisors.

Develop and
use strategies to estimate difference of decimals.

Develop and use strategies to estimate sum of decimals.

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

Divide a 2digit number by a 1digit divisor without remainder.

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

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

Divide a fraction by a whole number, using simple unit fractions.
 Divide a whole
number by a fraction, using simple unit fractions.

Divide fluently up to a fourdigit number by a twodigit number, with and without
remainders

Divide numbers by 10′s, 100′s, 1,000′s using mental strategies.

Divide whole numbers.
 Divide with decimals including
decimals less than one and greater than one.

Division of twoand threedigit whole numbers by oneand twodigit whole numbers.

Division of whole numbers
upto 3digit divisor.

Estimate addition and subraction of fractions.

Estimate and justify the results of addition of mixed numbers

Estimate and justify the results of subtraction of mixed numbers

Estimate differences of fractions with like and unlike denominators.
 Estimate Division of Decimals

Estimate or round whole numbers.

Estimate products of decimals.

Estimate products of whole
numbers.
 Estimate quotients.

Estimate sums of fractions
with like and unlike denominators.

Estimate the answers to calculations involving addition

Estimate the answers to calculations involving subtraction.

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

Explain the relationship between fractions and division.

Find factors of whole numbers from 1 through 100.

Find the common factors of two or more numbers.

Find the common multiples of two or more numbers.

Find the least common denominator for two fractions.

Find the multiples of whole numbers.

Find the product of two unit fractions with small denominators using an area model.

Identifies place
value for decimals through hundredths.

Identifies place value for whole numbers through millions.

Identify and locate decimals on a number line.

Identify integers and give realworld problems where integers are used.

Identify negative numbers
on a thermometer.

Identify the place values of decimals through thousandths.

Identify, describe, and model common percents including 10%, 25%, 50%, 75%, and
100%.

Identify, describe, and model proper fractions.

Identify, interpret and use ratios in different contexts.

Locate integers on a number line

Locates mixed numbers on a number line.

Mentally multiplies and divides whole numbers through twelve with accuracy

Model division of common fractions.

Model division of decimals
by another decimal.

Model multiplication of decimals by another decimal.

Multiplication of whole numbers up to 2digit multipliers.

Multiply a whole number and Decimal by powers of 10: 0.01, 0.1, 1, 10, 100, 1,000,
and identify patterns.

Multiply a whole number by 10′s, 100′s, 1,000′s
 Multiply commonly
used fractions using area models.

Multiply decimal numbers with decimals.

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

Multiply decimals.

Multiply fractions with fractions.

Multiply positive decimals with whole numbers.

Multiply positive fractions with whole numbers.

Multiply whole numbers.

Name and write improper fractions shown in concrete and pictorial models.

Name and write mixed numbers,
using objects or pictures.

Order and compare percents.

Order decimals through the hundredths.

Order decimals through the thousandths

Order whole numbers through 9 digits.

Orders fractions.
 Read and write
decimals.

Read and write numbers in word, standard forms through hundred millions.

Read, write, recognize,
and model decimals through thousandths.

Reading and writing decimal numbers through the hundredths.

Reading and writing whole numbers less than 10,000,000.

Reading and writing whole numbers.

Recall basic multiplication facts and corresponding division facts.

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
whole numbers in expanded form hundred millions

Represent whole numbers in expanded form.

Round decimals to a given place value.

Round fractions to the nearest half.

Select a reasonable solution to a realworld division problem with whole numbers
with the concept of remainder.

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

Show the relationship between addition and subtraction with the basic fact families
including the use of mathematical models.

Simplify fractions.

Solve applied problems involving division of whole numbers.

Solve applied problems involving multiplication of whole numbers.
 Solve
problems involving addition of decimals through hundredths.

Solve problems involving decimals multiplication, in which the multiplier is a decimal.

Solve problems involving decimals multiplication, in which the multiplier is a whole
number.

Solve problems involving division of decimals, in which the divisor is a whole number
or decimal.

Solve problems involving multiplication of positive fractions with whole numbers.

Solve
problems involving subtraction of decimals through hundredths.

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

Solve reallife problems involving addition of fractions with unlike denominators.

Solve reallife problems involving subtraction of fractions with unlike denominators.

Solve
realworld problems involving addition of whole numbers.

Solve realworld problems involving subtraction of whole numbers.

Solving problems involving addition of fractions with common denominators.

Solving problems involving subtraction of fractions with common denominators.

Subtract commonly
used fractions with like denominators.

Subtract commonly used fractions with unlike denominators.

Subtract decimal numbers up to three decimal places.

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 like denominators.

Subtract mixed numbers with unlike denominators.

Subtract whole numbers with and without regrouping.

Understand and identify prime factors.

Understand that division by zero is undefined.

Use a thermometer to measure temperature.

Use exponential notation to represent repeated multiplication of whole numbers.

Use fractions,
decimals, and percents interchangeably.

Use various estimation strategies to estimate whole number quantities from 0 through
100,000, fractions greater than or equal to zero, decimals greater than or equal
to zero through hundredths place, and monetary amounts to $10,000 and explain how
various
 Write
prime factorizations using exponents.
Goals under Parts and Wholes
Goals under Shapes and Angles
Goals under Shapes and Angles (Additional Practice)
Goals under Tenths and Hundredths
Goals under Tenths and Hundredths (Additional Practice)
Goals under The Fish Tale
Goals under The Fish Tale (Additional Practice)
Goals under Time (Additional Practice)
Goals under Ways to Multiply and Divide
Goals under Ways to Multiply and Divide (Additional
Practice)
