04-05

05-06

06-07

07-08

08-09

09-10

BENCHMARK

N-1-E(constructing number meaning and demonstrating that a number can be expressed in many different forms (e.g., standard notation, number words, number lines, geometrical representation, fractions, and decimals)

1.  Model, read, and write place values for numbers through 999 in word, standard and expanded form

2. Model the concepts of thirds, fourths, fifths, and sixths using regions, sets, and fraction words (e.g., one-third, three-fourths, five sixths)

5.  Read, write, compare, and order whole numbers through 999 using words, number lines, and models

6.  From a given number, count forward and backward and count to 100 by 2s

N-2-E demonstrating number sense and estimation skills, giving particular attention to common equivalent reference points (i.e., 1/4=25%=.25)

3.  Make reasonable estimates of the number of objects in a collection with few than 100 objects

4.  Count and write the value of amounts of money up to $1.00 using cent and $ signs

N-3-E reading, writing, representing, comparing, ordering, and using whole numbers in a variety of forms (e.g., standard notation, number line, and geometrical representation

5.  Read, write, compare and order whole numbers through 999 using words, number lines, and models

6.  From a given number, count forward and backward and count to 100 by 2s

N-4-E demonstrating a conceptual understanding of the meaning of the basic arithmetic operations (add, subtract, multiply, and divide) and other relationships to each other

6.  From a given number, count forward and backward and count to 100 by 2s

13.  Find the missing number in an equation involving addition or subtraction (e.g., # + 4 = 7, 8 - # = 3)

N-5-E selecting appropriate operations(s) (add, subtract, multiply, and divide) for a given situation

7.  Know all basic facts for addition and subtraction and use them to solve real-life problems

8.  Recognize, select, connect, and use operations, operational words and symbols (+,-) for addition (join, part/part/whole) or subtraction (take away, comparison, missing addend, and set/subset) situations

N-6-E applying a knowledge of basic math facts and arithmetic operations to real-life situations

4.  Count and write the value of amounts of money up to $1.00 using   and $

7.  Know all basic facts for addition and subtraction and use them to solve real-life problems

8.  Recognize, select, connect, and use operations, operational words and symbols (+,-) for addition (join, part/part/whole) or subtraction (take away, comparison, missing addend, and set/subset) situations

9.  Add and subtract 1- and 2- digit numbers

N-7-E constructing, using, and explaining procedures to compute and estimate with whole numbers (e.g., mental math strategies)

7.  Know all basic facts for addition and subtraction and use them to solve real-life problems

9.  Add and subtract 1- and 2- digit numbers

10.  Round numbers to the nearest 10 or 100 and identify situations in which rounding is appropriate

N-8-E selecting and using appropriate computational methods and tools for given situations involving whole numbers (e.g., estimation, mental arithmetic, calculator, or paper and pencil)

7.  Know all basic facts for addition and subtraction and use them to solve real-life problems

N-9-E demonstrating the connection of number and number relations to the other strands and to real-life situations

7.  Know all basic facts for addition and subtraction and use them to solve real-life problems

10.  Round numbers to the nearest 10 or 100 and identify situations in which rounding is appropriate

11.  Use the concept of one-to-several correspondence to trade single items for a greater quantity of items with unequal value (1 nickel for 5 pennies, 1 dime for 2 nickels)

32.  Recognize and apply patterns in problem-solving in other content areas and real-life situations

A-1-E demonstrating a conceptual understanding of variables, expressions, equations, and inequalities (e.g., use letters or boxes to represent values; understand symbols-, <, >,etc.)

12.  Use number sentences to represent real-life problems involving addition and subtraction

A-2-E modeling and developing strategies for solving equations and inequalities

12.  Use number sentences to represent real-life problems involving addition and subtraction

13.  Find the missing number in an equation involving addition or subtraction (e.g., # + 4 = 7, 8 - # = 3)

A-3-E  recognizing the connection of algebra to the other strands and to real-life situations (e.g., number sentences or formulas to represent real-world problems)

M-1-E applying (measure or solve measurement problem) the concepts of length (inches, feet, yards, miles, millimeters, centimeters, decimeters, meters, kilometers), area, volume, capacity (cups, liquid pints and quarts, gallons, milliliters, liters), weight (ounces, pounds, tons, grams, kilograms), mass, time(seconds, minutes, hours, days, weeks, months, years), money, an temperature (Celsius and Fahrenheit) to real-world experiences

4.  Count and write the value of amounts of money up to $1.00 using cent and $ signs

14.  Measure and appropriately label measures fo length and perimeter (i.e., inch, centimeter, foot) capacity(i.e., cup, quart, liter), and weight/mass (i.e., pound, kilogram)

15.  Read a thermometer in degrees Fahrenheit and Celsius and interpret the temperature

16.  Tell time to the nearest 5 minutes and identify the time one hour before or after a given time

M-2-E selecting and using appropriate standard and non-standard units of measure (e.g., paper clips and Cuisenaire rods) and tools for measuring length, area, capacity, weight/mass, and time for a given situation by considering the purpose and precision required for the task      

17.  Select and use appropriate tools and units to measure length, time, capacity, and weight (e.g., scales for pounds and kilograms; rulers for inches and centimeters, measuring containers for cup, quarts, and liters)

18.  Use non-standard units to cover a given region

M-3-E using estimation skills to describe, order, and compare measures of length, capacity, weight/mass, time, and temperature

16. Tell time to the nearest 5 minutes, and identify the time one hour before of after a given time

19.  Estimate length in standard units (inch, foot, and centimeter)

20.  Compare units within the same system (inch is shorter than a foot, minute is shorter than an hour, day is shorter than a month, cup holds less than a quart

M-4-E

converting from one unit of measurement to another within the same system (customary and metric); comparisons between systems should be based on intuitive reference points, not formal computations (e.g., a meter is a little longer than a yard)

M-5-E demonstrating the connection of measurement to the other strands and to real-life situations

4.  Count and write the value of amounts of money up to $1.00 using cent and $ signs

G-1-E determining the relationships among shapes

G-2-E identifying, describing, comparing, construction, an classifying two-dimensional and three-dimensional geometric shapes using a variety of materials

21.  Compare and contrast 3-dimensional shapes (i.e., sphere, cube, cylinder, cone, prism, pyramid) according to their attributes (e.g., number of faces, shape of faces)

22. Identify a reduction or enlargement of a given shape

23.  Identify congruent 3- dimensional solids in a variety of positions and orientations

G-3-E making predictions regarding combinations, subdivisions, and transformations (slides, flips, turns) of simple plane geometric shapes

23.  Identify congruent 3-dimensional solids in a variety of positions and orientation

G-4-E drawing, constructing models, and comparing geometric shapes, with special attention to developing spatial sense

23.  Identify congruent 3-dimensional solids in a variety of positions and orientations

G-5-E identifying and drawing lines and angles and describing their relationships to each other and to the real world

24.  Identify and draw horizontal and vertical line segments

G-6-E demonstrating the connection of geometry to the other strands and to real-life situations

D-1-E collecting, organizing, an describing data based on real-life situations

25.  Collect and organize data using observations, surveys, and experiments

D-2-E constructing, reading and interpreting data in charts, graphs, tables, etc.

26.  Construct and read line plots and tables

27.  Interpret pictographs in which each picture represents more than one object

D-3-E formulating and solving problems that involve the use of data

 28.  Generate questions that can be answered by collecting and analyzing data

29.  Solve logic problems involving two sets by using elementary set logic (i.e., and, or, and is/is not statements

D-4-E exploring, formulating, and solving sequence-of-pattern problems involving selection and arrangement of objects/numerals

D-5-E predicting outcomes based on probability (e.g., make predictions of same chance, more likely, or less likely; determine fair and unfair games

D-6-E demonstrating the connection of data analysis probability, and discrete math to other strands and real-life situations

P-1-E recognizing, describing, extending, and creating a wide variety of numerical (e.g., skip counting of whole numbers), geometrical, and statistical patterns

30.  Recognize, extend, create, and explain patterns of addition and subtraction as represented in charts and tables and in varied forms of skip-counting

31.  Recognize, extend, create, and explain patterns that involve simple rotations or size changes with geometric objects

P-2-E representing and describing mathematical relationships using tables, variables, open sentences, and graphs

30.  Recognize, extend, create, and explain patterns of addition and subtraction as represented in charts and tables and in varied forms of skip-counting

31.  Recognize, extend, create, and explain patterns that involve simple rotations or size changes with geometric objects

P-3-E recognizing the use of patterns, relations, and functions in other strands and in real-life situations

32.  Recognize and apply patterns in problem-solving in other content areas and real-life situations