Math back
By the end of Kindergarten,
ASES students will be able to:
- Count by 1’s and 10’s to 100;
- Count by 5’s to 50;
- Count backwards from 10;
- Match sets and numbers (1 – 20);
- Identify, read, and write numbers to 20;
- Order one- and two-digit numbers;
- Identify equivalent sets;
- Compare sets of objects;
- Compare numbers through 20;
- Identify greatest and least;
- Identify more, same, and less;
- Identify numbers on a hundred number chart;
- Identify numbers before, after, and between;
- Estimate and count collections of objects to 100;
- Identify ordinal position;
- Find addition and subtraction answers using
pictures;
- Identify one more than a number;
- Identify one less than a number;
- Divide a set of objects into equal groups;
- Identify one half of pictured object;
- Divide a shape in half;
- Name and identify penny and its value;
- Name and identify dime and its value;
- Name and identify nickel and its value;
- Identify quarters and one-dollar bills;
- Identify, sort, and compare geometric shapes;
- Identify, sort, and compare common geometric
solids;
- Make and copy designs on a geoboard;
- Make and cover designs using tangrams;
- Create congruent shapes and designs;
- Identify similar shapes;
- Use positional words and phrases;
- Identify right and left;
- Identify today’s date;
- Identify yesterday, today, and tomorrow;
- Identify days of the week and months of the year;
- Identify seasons;
- Identify morning, afternoon, evening, and night;
- Tell and show time to the hour;
- Identify hot and cold objects;
- Compare and order objects by length;
- Estimate and measure length using nonstandard
units;
- Estimate and measure distance using nonstandard
units;
- Order objects by height;
- Compare and order objects by weight;
- Compare the capacity of containers;
- Compare and order objects by size;
- Sort objects and identify a sorting rule;
- Graph a picture on a pictograph;
- Make a real graph;
- Identify most, fewest, and same on a graph;
- Identify, read, and extend color patterns;
- Identify, read, and extend shape patterns;
- Identify the missing shape in a matrix;
- Identify, extend, and create sound and movement
patterns;
- Identify the missing number in a sequence.
By the end of First Grade, ASES students will be
able to:
- Count by 1’s and 5’s to 100
- Count by 2’s and 10’s to 100
- Draw pictures and write number sentences to solve
addition problems
- Master addition facts: doubles to 18
- Master addition facts: one to a number
- Master addition facts: adding 0 to a number
- Master addition facts: adding 2 to an even and
odd number
- Master addition facts: adding doubles plus one
- Master addition facts: sums of 10
- Add 2-digit numbers with regrouping
- Master addition facts: adding 9 to a number
- Master addition facts: adding four of the last
eight facts
- Master addition facts: the last four facts
- Add three single-digit numbers
- Draw pictures and write number sentences to solve
subtraction problems
- Master subtraction facts: subtracting 1 from a
number
- Master subtraction facts: subtracting 0 and
subtracting a number from itself
- Master subtraction facts: subtracting 2 from a
number
- Master subtraction facts: subtracting a number
from ten
- Master subtraction facts: differences of 1
- Master subtraction facts: differences of 2
- Master subtraction facts: subtracting half a
double
- Identify ten less than a number
- Master subtraction facts: 9-4, 9-5, 9-3, 9-6,
7-3, 7-4, 8-3, 8-5
- Check subtraction answers using addition
- Identify and know the value of a penny, a nickel,
a dime and a quarter
- Identify, know value and count all coins
- Write money amounts using cents symbol
- Identify one dollar
- Count dimes, nickels and pennies
- Select coins for a given amount up to $1.00
- Weigh objects using nonstandard units
- Measure and draw line segments to nearest inch
Identify 10 more than a number
- Measure length using nonstandard units
- Measure capacity using standard units
- Measure length using customary units
- Draw line segments using customary units and
centimeters
- Compare and order container by capacity (quart,
gallon and liter)
- Tell and show time to the hour and half hour
- Order events by time
- Match and set numbers
- Read and write numbers to 50
- Identify first, last, between and middle
- Identify ordinal positions to sixth
- Write numbers to ten using words
- Solve problems using a calendar
- Identify the missing number in a sequence to 50
- Graph data on a bar graph
- Draw and read a bar graph
- Identify even and odd numbers
- Identify pairs
- Identify ½ and ¼ of a fractional whole
- Identify addends and sums
- Identify dozen and half dozen
- Divide a set of objects into equal groups
- Identify the fractional parts of a whole
- Identify the fractional parts of a set
- Write observations about a graph
- Use comparison symbols (<, >, and =)
- Identify 1/3rd and 1/6th
- Read a Fahrenheit thermometer to the nearest 10
degrees
- Identify cold, cool, warm and hot temperatures
- Count by 100’s
- Subtract 2-digit numbers without regrouping
- Identify geometric shape: rectangular prism,
cones, spheres, cubes and cylinders
- Identify angles and sides of a polygon
- Identify and describe 3-dimensional geometric
objects
- Identify and create congruent shapes and designs
- Compare and order objects by length
- Identify the missing shape or design in a
repeating pattern
- Sort and classify objects
By the end of Second Grade, the
ASES student will be able to:
- Count by 3’s, 4’s, 25’s, and 100’s;
- Read and write numbers to 1,000;
- Compare numbers to 1,000;
- Order 2- and 3-digit numbers;
- Round number to the nearest ten;
- Write numbers in expanded form;
- Identify addends and sums;
- Write addition and subtraction fact families;
- Identify and use the commutative and associative
properties;
- Act out, draw pictures of, and writes number
sentences to show multiplication;
- Make, label, and write number sentences for an
array;
- Identify the properties of 0 and 1 in
multiplication;
- Add using mental computation;
- Add three or more single-digit numbers;
- Add 3-digit numbers and money amounts (decimals);
- Subtract using mental computation;
- Subtract 3-digit numbers and money amounts
(decimals);
- Master multiplication facts (0, 1, 2, 3, 4, 5);
- Multiplies by 10
and 100;
- Doubles a number;
- Solve problems involving multiplication;
- Divide by 2;
- Solve problems involving division;
- Write a fraction to show a part of a whole;
- Name and compare unit fractions;
- Write a fraction to show a part of a set;
- Identify equivalent fractions using concrete
objects;
- Represent and write mixed numbers;
- Select coins for a given amount;
- Make change from a $1.00;
- Identify, describe, and classify polygons;
- Identify and draw a line of symmetry;
- Tell and show time to the quarter hour, 5 minutes
and minute;
- Find elapsed time;
- Identify a.m. and p.m.;
- Write the date using digits;
- Identify equivalent units of time;
- Identify weekdays and days of the weekend;
- Read a Fahrenheit thermometer;
- Draw line segments using customary units (nearest
inch and half inch);
- Measure length using metric units (nearest
centimeter);
- Identify units of mass: customary or metric;
- Weigh object using customary or metric units;
- Order containers by capacity;
- Compare and order objects by size (area);
- Find area using nonstandard units;
- Estimate area;
- Find area of rectangle;
- Find perimeter of a polygon;
- Draw and read a pictograph;
- Tallies;
- Create and read a Venn diagram;
- Describe the likelihood of an event;
- Locate points of a number line;
- Locate and graph points on a coordinate graph.
By the end of the Third Grade, ASES
students will be able to:
·
Count
by 2's, 3's, 4's, 5's, 6's, 7's, 8's, 9's, and10's
·
Begin
to count by 12's, 25's, 100's, halves, and fourths
·
Reads
and write numbers to 100,000
·
Begin
to read and write money amounts to $99,999.99
·
Compare
numbers to 10,000
·
Order
2-, 3-, and 4-digit numbers
·
Begin
to round numbers to the nearest ten, hundred, and thousand
·
Begin
to identify place value in numbers to 100,000,000
·
Represent
3- and 4-digit numbers using concrete materials and pictures
·
Estimate
and count large collections
·
Begin
to write numbers in expanded form
·
Rename
numbers using grouping
·
Identify
ordinal position
·
Begin
to identify even and odd numbers
·
Identify
dozen and half dozen
·
Begin
to write numbers using words
·
Begin
to identify factors of a number
·
Begin
to identify multiples of a number
·
Begin
to identify prime numbers
·
Begin
to square numbers
·
Begin
to find square roots of perfect squares
·
Begins
to read and write Roman numerals
·
Begins
to act out, draw pictures of, and write number sentences to show addition and
subtraction
·
Identify
addends and sums
·
Write
addition and subtraction fact families
·
Begin
to act out, draw pictures of , and write number sentences to show
multiplication
·
Begin
to make, label, and write number sentences for an array
·
Identify
factors and products
·
Begin
to identify and use commutative and associative property
·
Identify
the properties of 0 and 1 in multiplication and division
·
Write
multiplication and division fact families
·
Act
out, draw pictures of, and write number sentences to show division
·
Identify
quotients
·
Begin
to write division problems in three ways
·
Identify
ten more than a number
·
Master
addition facts to 18
·
Identify
missing addends
·
Identify
a missing digit in an addition problem
·
Begin
to estimate a sum
·
Add
using mental computation
·
Add
three or more single-digit numbers
·
Add
2- and 3-digit numbers
·
Begin
to use estimation to check the reasonableness of calculated results
·
Add
whole numbers and money amounts (decimals) to $9,999.99
·
Begin
to solve problems using addition
·
Begin
to write story problems for addition number sentences
·
Master
subtraction facts to 18
·
Identify
ten less than a number
·
Estimate
a difference
·
Subtract
using 2- and 3-digit numbers
·
Begin
to subtract money amounts (decimals)
·
Begin
to check subtraction answers using addition
·
Begin
to solve problems involving subtraction
·
Begin
to write story problems for subtraction number sentences
·
Multiply
by 10, 100, and 1000
·
Master
Multiplication facts 0- 12's
·
Begin
to multiply using mental computation
·
Begin
using the multiply using the multiplication algorithm
·
Begin
to solve problems involving multiplication
·
Master
division facts 0-12's
·
Divide
by 10
·
Begin
to divide using mental computation
·
Divide
2- and 3-digit multiples of 10 by a 1-digit number
·
Begin
to check division answers using multiplication
·
Begin
to solve problems involving division
·
Begin
to identify fractional parts of a whole
·
Begin
to write a fraction to show a part of a whole
·
Begin
to identify a fractional part of a set
·
Begin
to compare fractions
·
Begin
to order fractions
·
Begin
to identify fractions equivalent to one-half
·
Find
half of a set of objects
·
Begin
to represent and write mixed numbers
·
Begin
to write tenths using common and decimal fractions
·
Begin
to write hundredths using common and decimal fractions
·
Write
fraction number sentences that equal one
·
Begin
to add and subtract fractions
·
Add
whole numbers and money amounts (decimals)
·
Subtract
money amounts (decimals)
·
Count
money to the hundreds of dollars
·
Begin
to compare the value of sets of coins
·
Begin
to write money amounts using the cent and dollar signs
·
Begin
to select coins for a given amount
·
Make
change from $1.00, $5.00, and $10.00
·
Begin
to write a check
·
Identify
and describe polygons
·
Begin
to identify and draw congruent line segments and shapes
·
Begin
to solve spatial problems
·
Begin
to sort common geometric shapes by attribute
·
Begins
to name line segments
·
Begin
to identify horizontal, vertical, and oblique line segments
·
Begin
to identify and draw a line of symmetry
·
Begin
to identify parallel lines and line segments
·
Begin
identify intersecting lines
·
Begin
to identify perpendicular lines and line segments
·
Begin
to identify right, acute, and obtuse angles
·
Begin
to name triangles by angle size
·
Begin
to identify and show transformations: translations, rotations, and reflections
·
Identify
and classify 3-demensional geometric objects
·
Identify
faces, vertices, and edges of a geometric solid
·
Begin
to construct a geometric solid
·
Tell
and show time to the hour, half hour, quarter hour
·
Begin
to show time to 5 minutes and minute
·
Begin
to find elapsed time
·
Begin
to identify a.m. and p.m.;
·
Begin
to write the date using digits
·
Begin
to identify equivalent units of time
·
Begin
to solve problems using a calendar
·
Begin
to estimate temperature
·
Begin
to read a Fahrenheit or Celsius thermometer
·
Begin
to identify common temperatures
·
Begin
to estimate length and distance
·
Begin
to measure length using nonstandard units
·
Begin
to measure length using customary units (nearest inch, half inch, quarter inch,
foot, and yard)
·
Begin
to draw line segments using customary units (nearest inch, half inch, and
quarter inch)