Course Content
A. Numbers to 5
-
A.01. Identify numbers 0-5 (oral and visual).
-
A.02. Match spoken numbers to numerals 0-5.
-
A.03. Represent numbers 0-5 using concrete objects (e.g., cubes, counters).
-
A.04. Order numbers 0-5.
-
A.05. Identify numbers 0-5 in different contexts (e.g., pictures, number lines).
-
A.06. Understand the concept of zero.
-
A.07. Compose and decompose numbers 0-5 using concrete objects.
B. Counting to 5
-
B.01. Rote count to 5.
-
B.02. Count objects (pictures, shapes, cubes) up to 5.
-
B.03. Count objects arranged in rows or scattered arrangements up to 5.
-
B.04. Use one-to-one correspondence to count objects up to 5.
-
B.05. Count using ten frames to represent numbers up to 5.
-
B.06. Identify the next number in a sequence up to 5.
-
B.07. Recognize and extend simple number patterns up to 5.
-
B.08. Solve simple word problems involving counting up to 5.
C. One More and One Less to 5
-
C.01. Identify one more than a given number (0-4) using concrete objects.
-
C.02. Identify one less than a given number (1-5) using concrete objects.
-
C.03. Find one more and one less than a given number (0-4) without concrete objects.
-
C.04. Solve simple word problems involving “one more” and “one less”.
-
C.05. Represent “one more” and “one less” using number lines.
D. Comparing Numbers to 5
-
D.01. Compare two sets of objects to determine if they have the same number (up to 5).
-
D.02. Compare two sets of objects to determine which has more or fewer (up to 5).
-
D.03. Use comparative language (more, fewer, same) to describe sets of objects (up to 5).
-
D.04. Compare numbers using the symbols >, <, = (up to 5).
-
D.05. Solve simple word problems involving comparison of numbers up to 5.
-
D.06. Arrange sets of objects in order from least to greatest or greatest to least (up to 5).
E. Numbers to 10
-
E.01. Identify numbers 0-10 (oral and visual).
-
E.02. Match spoken numbers to numerals 0-10.
-
E.03. Represent numbers 0-10 using concrete objects.
-
E.04. Order numbers 0-10.
-
E.05. Identify numbers 0-10 in different contexts.
-
E.06. Compose and decompose numbers 0-10 in multiple ways.
-
E.07. Recognize and represent numbers using tally marks.
F. Counting to 10
-
F.01. Rote count to 10.
-
F.02. Count objects (pictures, shapes, cubes) up to 10.
-
F.03. Count objects in various arrangements (rows, scattered) up to 10.
-
F.04. Use one-to-one correspondence to count objects up to 10.
-
F.05. Count using ten frames to represent numbers up to 10.
-
F.06. Identify the next number in a sequence up to 10.
-
F.07. Recognize and extend simple number patterns up to 10.
-
F.08. Count backwards from 10.
-
F.09. Solve simple word problems involving counting up to 10.
G. One More and One Less to 10
-
G.01. Identify one more than a given number (0-9) using concrete objects.
-
G.02. Identify one less than a given number (1-10) using concrete objects.
-
G.03. Find one more and one less than a given number (0-9) without concrete objects.
-
G.04. Solve simple word problems involving “one more” and “one less”.
-
G.05. Represent “one more” and “one less” using number lines.
-
G.06. Use ordinal numbers (first, second, etc.) up to tenth.
H. Comparing Numbers to 10
-
H.01. Compare two sets of objects to determine if they have the same number (up to 10).
-
H.02. Compare two sets of objects to determine which has more or fewer (up to 10).
-
H.03. Use comparative language (more, fewer, same) to describe sets of objects (up to 10).
-
H.04. Compare numbers using the symbols >, <, = (up to 10).
-
H.05. Solve simple word problems involving comparison of numbers up to 10.
-
H.06. Arrange sets of objects in order from least to greatest or greatest to least (up to 10).
-
H.07. Compare three numbers (up to 10).
I. Understanding Addition up to 5
-
I.01. Model addition using concrete objects (sums up to 5).
-
I.02. Represent addition using pictures or drawings (sums up to 5).
-
I.03. Write addition sentences to represent word problems and models (sums up to 5).
-
I.04. Solve simple addition word problems (sums up to 5).
-
I.05. Understand the commutative property of addition (sums up to 5).
J. Addition up to 5
-
J.01. Add numbers using concrete objects (sums up to 5).
-
J.02. Add numbers using pictures or drawings (sums up to 5).
-
J.03. Write and solve addition sentences (sums up to 5).
-
J.04. Solve simple addition word problems (sums up to 5).
-
J.05. Add using number lines (sums up to 5).
K. Take Apart Numbers up to 5
-
K.01. Decompose numbers up to 5 into different pairs using concrete objects.
-
K.02. Represent the decomposition of numbers up to 5 using pictures or drawings.
-
K.03. Write number sentences to represent decompositions (sums up to 5).
-
K.04. Solve simple subtraction word problems (up to 5) through decomposition.
-
K.05. Relate addition and subtraction facts within 5.
L. Understanding Subtraction up to 5
-
L.01. Model subtraction using concrete objects (numbers up to 5).
-
L.02. Represent subtraction using pictures or drawings (numbers up to 5).
-
L.03. Write subtraction sentences to represent word problems and models (numbers up to 5).
-
L.04. Solve simple subtraction word problems (numbers up to 5).
-
L.05. Relate addition and subtraction facts within 5.
M. Subtraction up to 5
-
M.01. Subtract numbers using concrete objects (numbers up to 5).
-
M.02. Subtract numbers using pictures or drawings (numbers up to 5).
-
M.03. Write and solve subtraction sentences (numbers up to 5).
-
M.04. Solve simple subtraction word problems (numbers up to 5).
-
M.05. Subtract using number lines (numbers up to 5).
N. Understanding Addition up to 10
-
N.01. Model addition using concrete objects (sums up to 10).
-
N.02. Represent addition using pictures or drawings (sums up to 10).
-
N.03. Write addition sentences to represent word problems and models (sums up to 10).
-
N.04. Solve simple addition word problems (sums up to 10).
-
N.05. Understand the commutative property of addition (sums up to 10).
O. Addition up to 10
-
O.01. Add numbers using concrete objects (sums up to 10).
-
O.02. Add numbers using pictures or drawings (sums up to 10).
-
O.03. Write and solve addition sentences (sums up to 10).
-
O.04. Solve simple addition word problems (sums up to 10).
-
O.05. Add using number lines (sums up to 10).
-
O.06. Add using ten frames (sums up to 10).
P. Take Apart Numbers up to 10
-
P.01. Decompose numbers up to 10 into different pairs using concrete objects.
-
P.02. Represent the decomposition of numbers up to 10 using pictures or drawings.
-
P.03. Write number sentences to represent decompositions (sums up to 10).
-
P.04. Solve simple subtraction word problems (up to 10) through decomposition.
-
P.05. Relate addition and subtraction facts within 10.
Q. Understanding Subtraction up to 10
-
Q.01. Model subtraction using concrete objects (numbers up to 10).
-
Q.02. Represent subtraction using pictures or drawings (numbers up to 10).
-
Q.03. Write subtraction sentences to represent word problems and models (numbers up to 10).
-
Q.04. Solve simple subtraction word problems (numbers up to 10).
-
Q.05. Relate addition and subtraction facts within 10.
R. Subtraction up to 10
-
R.01. Subtract numbers using concrete objects (numbers up to 10).
-
R.02. Subtract numbers using pictures or drawings (numbers up to 10).
-
R.03. Write and solve subtraction sentences (numbers up to 10).
-
R.04. Solve simple subtraction word problems (numbers up to 10).
-
R.05. Subtract using number lines (numbers up to 10).
-
R.06. Subtract using ten frames (numbers up to 10).
S. Mixed Operations up to 10
-
S.01. Solve addition and subtraction problems (up to 10) using concrete objects.
-
S.02. Solve addition and subtraction problems (up to 10) using pictures.
-
S.03. Write and solve addition and subtraction sentences (up to 10).
-
S.04. Solve simple mixed operation word problems (up to 10).
-
S.05. Identify and solve related facts (e.g., 3+2=5, 5-2=3)
-
S.06. Understand the concept of adding and subtracting zero.
T. Numbers to 20
-
T.01. Identify numbers 0-20 (oral and visual).
-
T.02. Match spoken numbers to numerals 0-20.
-
T.03. Represent numbers 0-20 using concrete objects.
-
T.04. Order numbers 0-20.
-
T.05. Identify numbers 0-20 in different contexts.
-
T.06. Count objects up to 20.
-
T.07. Count forward and backward from 20.
U. Counting to 20
-
U.01. Rote count to 20.
-
U.02. Count objects (pictures, shapes, cubes) up to 20.
-
U.03. Count objects in various arrangements (rows, scattered) up to 20.
-
U.04. Use one-to-one correspondence to count objects up to 20.
-
U.05. Count using ten frames to represent numbers up to 20.
-
U.06. Identify the next number in a sequence up to 20.
-
U.07. Count backwards from 20.
-
U.08. Recognize and extend simple number patterns up to 20.
V. One More and One Less to 20
-
V.01. Identify one more than a given number (0-19).
-
V.02. Identify one less than a given number (1-20).
-
V.03. Find one more and one less than a given number (0-19) without concrete objects.
-
V.04. Solve word problems involving one more and one less.
W. Comparing Numbers to 20
-
W.01. Compare two sets of objects (up to 20).
-
W.02. Use comparative language (more, fewer, same) to describe sets of objects (up to 20).
-
W.03. Compare numbers using the symbols >, <, = (up to 20).
-
W.04. Order numbers from least to greatest and greatest to least (up to 20).
X. Place Value (Tens and Ones) up to 20
-
X.01. Identify tens and ones in numbers up to 20 using concrete materials.
-
X.02. Represent numbers up to 20 using tens and ones.
-
X.03. Write numbers up to 20 as tens and ones.
-
X.04. Decompose numbers up to 20 into tens and ones.
-
X.05. Compose teen numbers using tens and ones.
Y. Two-Dimensional Shapes
-
Y.04. Compose simple shapes using other shapes (e.g., make a rectangle using two triangles).
-
Y.05. Identify two-dimensional shapes in the real world.
-
Y.01. Identify and name circles, squares, triangles, and rectangles.
-
Y.02. Describe the attributes of two-dimensional shapes (sides, corners).
-
Y.03. Sort and classify two-dimensional shapes based on their attributes.
Z. Three-Dimensional Shapes
-
Z.01. Identify and name spheres, cubes, cones, and cylinders.
-
Z.02. Describe the attributes of three-dimensional shapes.
-
Z.03. Sort and classify three-dimensional shapes based on their attributes.
-
Z.04. Identify three-dimensional shapes in the real world.
-
Z.05. Compare and contrast two- and three-dimensional shapes.
AA. Patterns
-
AA.01. Identify and extend repeating patterns using shapes, colors, or sizes.
-
AA.02. Create simple patterns.
-
AA.03. Describe patterns using mathematical language.
-
AA.04. Identify growing patterns.
BB. Positional Words
-
BB.01. Use positional words (e.g., above, below, beside, next to, inside, outside) to describe the location of objects.
-
BB.02. Describe the position of objects in a grid.
CC. Measurement
-
CC.01. Compare the lengths of objects using non-standard units.
-
CC.02. Compare the heights of objects using non-standard units.
-
CC.03. Compare the weights of objects using non-standard units.
-
CC.04. Compare the capacities of containers using non-standard units.
DD. Time
-
DD.01. Identify and sequence daily events.
-
DD.02. Understand the concept of time (morning, afternoon, evening).
-
DD.03. Relate simple time concepts to daily routines.
EE. Data and Graphs
-
EE.01. Collect and organize data using concrete objects.
-
EE.02. Create and interpret simple picture graphs.
-
EE.03. Answer questions based on information in a picture graph.
FF. Classifying and Sorting
-
FF.01. Sort objects based on one attribute (e.g., color, shape, size).
-
FF.02. Sort objects based on multiple attributes.
-
FF.03. Use Venn diagrams to sort and classify objects.
GG. Money
-
GG.01. Identify pennies, nickels, and dimes.
-
GG.02. Determine the value of pennies, nickels, and dimes.
-
GG.03. Count small amounts of money (pennies, nickels, and dimes).
