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First Grade Mathematics

First grade objectives continue the emphasis on the use of manipulatives, concrete material, and appropriate technologies to give students the foundation needed to explore new mathematical concepts. Development of mathematical language allows students to explain such concepts as addition and subtraction of whole numbers; knowing the value of coins; the quick recall of addition and subtraction facts; identifying two- and three-dimensional figures; and gathering, organizing, and explaining data. The West Virginia Standards for 21st Century Learning include the following components: 21st Century Content Standards and Objectives and 21st Century Learning Skills and Technology Tools. All West Virginia teachers are responsible for classroom instruction that integrates learning skills, technology tools and content standards and objectives.
M.S.1.1
Number and Operations

Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will

·         demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems,

·         demonstrate meanings of operations and how they relate to one another, and

·         compute fluently and make reasonable estimates.

M.PD.1.1
Distinguished Above Mastery Mastery Partial Mastery Novice
First grade students at the distinguished level in mathematics:

read, write, order, count and compare to 1000, identify any ordinal, identify any number as odd or even;

group and count objects by 2’s, 3’s, 4’s, 5’s, and 10’s;


model place value to 1000 in standard and expanded form and round to the nearest 100;

estimate, create and explain models for fractions of a whole and of a set, 1/6, 1/8;

solve addition and subtraction of two-digits with regrouping and justify relationship;




create and present, one-step problems and justify results, construct real world one and two step problems using multiple strategies, present solutions and justify results.

 First grade students at the above mastery level in mathematics:

read, write, order, count and compare to 200 and identify any ordinal, model odd and even to 100;


group and count objects by 1’s, 2’s, 5’s, 10’s;


identify place value to 1000 in standard form and round to the nearest 100;

estimate, create and explain models for fractions of a whole and a set, 1/2, 1/3, 1/4;

model addition with multiple addends and two digit subtraction model and solve 2 digit addition with regrouping;



use basic addition and subtraction facts and create real world story problems, present solutions and justify results with and without technology.

 First grade students at the mastery level in mathematics:

read, write, order, count and compare to 100, use ordinals to 20th, count back from 20, identify sets of odd and even to 20;

group and count objects by 1’s, 5’s, and 10’s to 100;


model and identify place value using standard and expanded to 100 and round to nearest 10;

estimate to 100, use models to explain 1/2, 1/3, 1/4, of whole or of set,;

model 2 or 3 addends in addition and subtraction to 18, write sentence, model addition and subtraction and their relationship, model 2-digit addition and subtraction without regrouping;

recall basic addition and subtraction facts to 10 and create story problems using variety of strategies, present solutions, and justify results with and without technology.

 First grade students at the partial mastery level in mathematics:

read, write, order, count to 100, use ordinals to 10th, count back from 20, identify sets of odd and even to 10;


group objects by 1’s, 5’s and 10’s to 100 and count objects by 1’s, and 10’s to 100.;

model and identify place value using standard form to 100 and round to the nearest 10;

estimate objects to 100 and use models to identify and name 1/2 and 1/4, as part of a whole;

model addition and subtraction for sums to 12, write sentence; model addition and subtraction operations and the relationship between them;



recall basic addition facts to 10 and some subtraction facts and solve story problems using models.

 First grade students at the novice level in mathematics:

count to 100 and use ordinals to 10th, count back from 10 and identify odd and even to 10;


group and count objects by 1’s and 10’s to 100;


model and identify place value to 20 using standard form;


estimate objects to 20 and use models to identify 1/2 of a whole;


model addition and subtraction to 10; model addition and subtraction and show relationship with fact families;



recall some addition and subtraction facts to 10 and retell a story problem.
Number Objective
M.O.1.1.1
count forward to 100 and backward from 20 with and without manipulatives.
M.O.1.1.2
read, write, order, and compare numbers to 100 using multiple strategies (e.g. manipulatives, number line, symbols).
M.O.1.1.3
identify odd and even numbers to 20 and determine if a set of objects has an odd or even number of elements.
M.O.1.1.4
group and count  manipulatives by ones, fives, and tens to 100.
M.O.1.1.5
model and identify place value of each digit utilizing standard and expanded form to 100.
M.O.1.1.6
round any two-digit number to the nearest 10.
M.O.1.1.7
use ordinal numbers 1st - 20th to identify position in a sequence .
M.O.1.1.8
estimate the number of objects in a group of 100 or less and count to evaluate reasonableness of estimate.
M.O.1.1.9
identify, name, and explain why a given part is a half, third or fourth of a whole or part of a group, using concrete models.
M.O.1.1.10
use concrete objects to model the addition of two or three addends and subtraction of whole numbers related to sums less than 18  and write the corresponding number sentence.
M.O.1.1.11
model operations, addition and subtraction, and the relationship between addition and subtraction (e.g., identity element of addition, commutative property, fact families, inverse operations) using concrete objects.
M.O.1.1.12
quick recall of basic addition facts with sums to 10 and corresponding subtraction facts.
M.O.1.1.13
model and solve 2-digit addition and subtraction without regrouping.
M.O.1.1.14
create grade-appropriate picture and story problems using a variety of strategies (with and without technology), present solutions and justify results.
M.S.1.2
Algebra

Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will

  • demonstrate understanding of patterns, relations and functions,
  • represent and analyze mathematical situations and structures using algebraic symbols,
  • use mathematical models to represent and understand quantitative relationships, and
  • analyze change in various contexts.
M.PD.1.2
Distinguished Above Mastery Mastery Partial Mastery Novice
First grade students at the distinguished level in mathematics:

interpret sorting rules for self and others using two or more attributes and various strategies;


create an input/output model;



create, write, and analyze number patterns;

create, analyze and interpret number patterns based on real-life situations using words, AB form, T-charts and justify results;

prove equivalency of both sides of a number sentence.

 First grade students at the above mastery level in mathematics:

determine sorting rules for more than one attribute using various strategies;


determine the input when given the rule and function of an input/output model;

create and write number patterns;


create, analyze and modify number patterns based on real-life situations, using words, AB form, T-charts and justify results;

create and interpret number sentences that show equivalency.

 First grade students at the mastery level in mathematics:

sort and classify objects by more than one attribute, using various strategies, including Venn Diagrams;

determine the rule or give the output, given an input/output model using addition and subtraction;

identify and write number patterns by 2’s,5’s,and 10’s;

create and analyze number patterns based on real-life situations, using words, AB form, and T-charts and present results;

use concrete materials to demonstrate that quantities on both sides of a number sentence are equivalent.

 First grade students at the partial mastery level in mathematics:

sort and classify objects by one attribute using Venn Diagrams;



give the output when input and function are given using the input/output model;

identify and write number patterns by 5’s and 10’s;

create number patterns based on real-life situations, using words, AB form, and T-chart and present results;

identify equivalency of both sides of a simple number sentence.

 First grade students at the novice level in mathematics:

sort and classify objects by one attribute;



give the output for addition using the input/output model;


identify number patterns by 5’s and 10’s;

recognize and create number patterns with AB form;



recognize equivalency of both sides of a simple number sentence.
Number Objective
M.O.1.2.1
sort and classify objects by more than one attribute, using various strategies, including Venn Diagrams.
M.O.1.2.2
determine the rule or give the output given an input/output model using addition or subtraction.
M.O.1.2.3
identify and write number patterns by 2’s, 5’s, and 10’s.
M.O.1.2.4
create and analyze number patterns based on real-life situations using words, AB form, and T-charts and present results.
M.O.1.2.5
use concrete materials to demonstrate that the quantities on both sides of a grade-appropriate number sentence are equivalent.
M.S.1.3
Geometry

Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will

·         analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships,

·         specify locations and describe spatial relationships using coordinate geometry and other representational systems,

·         apply transformations and use symmetry to analyze mathematical situations, and

·         solve problems using visualization, spatial reasoning, and geometric modeling.

M.PD.1.3
Distinguished Above Mastery Mastery Partial Mastery Novice
First grade students at the distinguished level in mathematics:

interpret the relationships between plane figures;

construct, identify, analyze and write about three dimensional figures and relationship to real world;


justify the classification of open and closed figures and congruent plane shapes; create, analyze, describe symmetrical designs;

create stories using spatial relationships;

create and describe pictures with points on a first- quadrant grid;

predict, describe, analyze results of combining and decomposing two- and three-dimensional shapes.

 First grade students at the above mastery level in mathematics:

draw, label and analyze plane figures;

construct, identify, classify and analyze three-dimensional figures, draw three dimensional shapes from the environment;

classify open and closed figures and congruent plane shapes; create and analyze symmetrical designs;


use spatial relationships;


find, name and describe locations on a first-quadrant grid;

predict and describe the result of combining and decomposing two- and three-dimensional shapes.

 First grade students at the mastery level in mathematics:

draw, label and sort plane figures by sides and vertices;

construct, identify and classify three dimensional figures; recognize three-dimensional shapes in the environment;

draw and identify open and closed figures and congruent plane shapes; create and describe simple symmetrical designs;

describe spatial relationships;


find and name locations on first-quadrant grid;

predict result of combining or decomposing two or more two- and three-dimensional shapes.

 First grade students at the partial mastery level in mathematics:

draw and sort plane shapes;


identify three dimensional figures and match three dimensional shapes in the environment;


identify open and closed figures and congruent shapes; describe simple symmetrical designs;


identify spatial relationships;


name locations on first-quadrant grid;

combine and decompose two- and three-dimensional shapes.

 First grade students at the novice level in mathematics:

sort plane shapes;


sort three dimensional figures, recognize plane shapes in the environment;


recognize open and closed figures, congruent shapes and simple symmetrical designs;


recognize spatial relationships;


touch a location on a first- quadrant grid;

combine and decompose two-dimensional shapes.
Number Objective
M.O.1.3.1
draw, label, and sort
  • circle,
  • rectangles including squares,
  • triangles, and
according to sides and vertices
M.O.1.3.2
use physical materials to construct, identify, and classify three-dimensional figures:
  • cube
  • cone
  • sphere
  • rectangular solid
  • pyramid
  • cylinder
M.O.1.3.3
recognize three-dimensional shapes in the environment.
M.O.1.3.4
draw and identify
  • open and closed figures
  • congruent plane shapes
M.O.1.3.5
create and describe simple symmetrical designs.
M.O.1.3.6
describe spatial relationships: over/under, left/right.
M.O.1.3.7
find and name locations on a first-quadrant grid.
M.O.1.3.8
predict the result of combining or decomposing  two or more two-dimensional/three-dimensional shapes.
M.S.1.4
Measurement

Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will

  • demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement, and
  • apply appropriate techniques, tools and formulas to determine measurements.
M.PD.1.4
Distinguished Above Mastery Mastery Partial Mastery Novice
First grade students at the distinguished level in mathematics:

estimate, measure, compare and order using customary metric and nonstandard units to determine length to nearest unit and justify answers;

select units and tools to measure and compare objects using two or more attributes, justify and record results;


use the calendar to locate a specific day, date and identify one week later;

use clocks to tell time to five minutes and relate to personal experiences;


create stories with money and make change from a dollar using all coins and bills.

 First grade students at the above mastery level in mathematics:

estimate, measure, compare, and order using customary, metric, and nonstandard units to determine length to nearest whole unit and justify answers;

select units and tools to measure and compare two or more objects using one or more attributes (length, height, weight, time and volume), justify and record results;

use calendar to find yesterday, today, tomorrow and birth date;

use clocks to tell time to quarter hour and relate to personal experiences;


identify all coins and dollar bill and make change from fifty cents.

 First grade students at the mastery level in mathematics:

estimate, measure, compare and order using customary, metric, and nonstandard units to determine length to nearer whole unit;


select units and tools to measure and compare two objects or events using one or more attributes (length, height, weight, temperature, and volume) and justify results;

use calendar to identify date, days, and months;

tell time to half hour, use analog and digital clock, and relate time to personal experience;

identify, count, trade and organize (penny, nickel, dime, quarter, and dollar bill); display real life price values to 100 cents.

 First grade students at the partial mastery level in mathematics:

estimate and measure using customary, metric, and nonstandard units to determine length to nearest whole unit;


given the tool, measure length, height, weight, temperature, and volume;



use calendar to identify date, and days of week;

tell time to the hour on an analog and digital clock and relate time to personal experience;

identify, count and trade pennies, nickels, dimes and quarters; display price values up to 25 cents.

 First grade students at the novice level in mathematics:

estimate and measure using customary and nonstandard units to determine length;



given the tool, measure length, height, weight and temperature;




use the calendar and to identify the date;

tell time to the hour on an analog clock and relate to personal experience;

identify pennies, nickels, dimes and quarters; count and trade pennies, nickels and dimes.
Number Objective
M.O.1.4.1
estimate, measure, compare and order using customary, metric, and nonstandard units to determine length to nearer whole unit.
M.O.1.4.2
select appropriate units and tools to measure and compare two objects or events according to one or more of the following attributes:
  • length
  • height
  • weight
  • temperature
  • volume
  justify selection of units and tools used to measure the attributes and present results.
M.O.1.4.3
use calendar to identify date, sequence of days of the week, and months of the year.
M.O.1.4.4
explain time concept in context of personal experience.
M.O.1.4.5
read time to the half hour using an analog and digital clock.
M.O.1.4.6
identify, count, trade and organize the following coins and bill to display a variety of price values from real-life examples with a total value of 100 cents or less.
  • penny
  • nickel
  • dime
  • quarter
  • dollar bill
M.S.1.5
Data Analysis and Probability

Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will

  • formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them,
  • select and use appropriate statistical methods to analyze data,
  • develop and evaluate inferences and predictions that are based on models, and
  • apply and demonstrate an understanding of basic concepts of probability.
M.PD.1.5
Distinguished Above Mastery Mastery Partial Mastery Novice
First grade students at the distinguished level in mathematics:

identify a real life situation, gather data over time, make a hypothesis as to the outcome, organize and analyze results, evaluate the validity of the hypothesis and communicate results using mathematical language;

construct, interpret, and analyze probability experiments and explain how they relate to real life situations.

 First grade students at the above mastery level in mathematics:

identify a real life situation, gather data over time, make a hypothesis as to the outcome, organize and analyze results, evaluate the validity of the hypothesis and communicate results;


create and interpret probability experiments, record data, and use data to predict which events will be more or less likely to occur in repeated experiments.

 First grade students at the mastery level in mathematics:

identify a real life situation, gather data over time, make a hypothesis as to the outcome, organize and analyze results, and evaluate the validity of the hypothesis;



conduct simple probability experiments, record data, and use data to predict which events will be more or less likely to occur in repeated experiment.

 First grade students at the partial mastery level in mathematics:

identify a real life situation, gather data over time, organize and interpret data;





conduct simple probability experiments and record data.

 First grade students at the novice level in mathematics:

identify a real life situation, gather data over time, and organize data;






conduct simple probability experiments.
Number Objective
M.O.1.5.1
Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology).
M.O.1.5.2
conduct simple experiments, record data on a tally chart or table and use the data to predict which of the events is more likely or less likely to occur if the experiment is repeated.
 

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