Course Content
A. Counting and Number Recognition
-
A.01. Recognize and name numbers up to 10.
-
A.02. Count objects up to 10.
-
A.03. Count to fill a ten frame.
-
A.04. Count objects up to 20.
-
A.05. Count by tens and ones up to 30.
-
A.06. Count on ten frames up to 40.
-
A.07. Count to 100.
-
A.08. Count tens and ones up to 99.
-
A.09. Count forward and backward within 100.
-
A.10. Identify numbers on a hundred chart.
-
A.11. Use number lines to represent numbers up to 100.
-
A.12. Recognize ordinal numbers.
-
A.13. Read and write numbers in words.
-
A.14. Identify and create skip-counting patterns using tables.
-
A.15. Recognize and extend sequences, counting up and down by 1, 2, 3, 5 and 10.
-
A.16. Extend sequences counting up and down by 100.
B. Even and Odd Numbers
-
B.01. Define even and odd numbers.
-
B.02. Identify even and odd numbers.
-
B.03. Determine if a number is even or odd.
-
B.04. Identify even or odd numbers on number lines.
-
B.05. Determine which even or odd number comes before or after a given number.
-
B.06. Apply the concepts of even and odd numbers to solve simple problems.
C. Place Value
-
C.01. Identify the place value of tens and ones.
-
C.02. Model numbers using place value blocks for tens and ones.
-
C.03. Write numbers based on place value models (tens and ones) up to 30.
-
C.04. Write numbers based on place value models (tens and ones) up to 100.
-
C.05. Identify the place value of hundreds, tens, and ones.
-
C.06. Model numbers using place value blocks for hundreds, tens, and ones.
D. Comparing Numbers
-
D.01. Use comparative language (e.g., more, less, equal) to describe quantities.
-
D.02. Compare quantities of objects using one-to-one correspondence.
-
D.03. Compare numbers up to 10.
-
D.04. Compare numbers up to 100.
-
D.05. Solve comparison word problems.
-
D.06. Use the greater than, less than, and equal to symbols to compare numbers.
E. Introduction to Patterns
-
E.01. Identify repeating patterns.
-
E.02. Describe the repeating unit in a pattern.
-
E.03. Find the next shape in a repeating pattern.
-
E.04. Complete a repeating pattern.
-
E.05. Create a repeating pattern.
-
E.06. Recognize growing patterns.
-
E.07. Find the next shape in a growing pattern.
-
E.08. Find the next row in a growing pattern.
-
E.09. Extend and create more complex patterns using multiple attributes.
F. Two-Dimensional Shapes
-
F.01. Identify basic two-dimensional shapes (circle, square, triangle, rectangle).
-
F.02. Name the two-dimensional shape.
-
F.03. Select two-dimensional shapes from a group of shapes.
-
F.04. Count the number of sides and vertices (corners) of a shape.
-
F.05. Compare the number of sides and vertices of different shapes.
-
F.06. Distinguish between open and closed shapes.
-
F.07. Recognize transformations of shapes (flip, turn, slide).
-
F.08. Identify lines of symmetry in two-dimensional shapes.
-
F.09. Relate two-dimensional shapes to objects in the real world.
G. Three-Dimensional Shapes
-
G.01. Differentiate between two-dimensional and three-dimensional shapes.
-
G.02. Identify basic three-dimensional shapes (cube, cone, cylinder, sphere).
-
G.03. Name the three-dimensional shape.
-
G.04. Identify cubes and rectangular prisms.
-
G.05. Select three-dimensional shapes from a group of shapes.
-
G.06. Count the number of vertices, edges, and faces of a three-dimensional shape.
-
G.07. Compare the number of vertices, edges, and faces of different three-dimensional shapes.
-
G.08. Identify shapes traced from solids.
-
G.09. Identify faces of three-dimensional shapes.
-
G.10. Relate three-dimensional shapes to everyday objects.
-
G.11. Create structures using three-dimensional shapes.
H. Spatial Sense and Position
-
H.01. Understand and use positional words (above, below, beside, next to).
-
H.02. Describe the position of objects using positional words.
-
H.03. Identify left, middle, and right.
-
H.04. Identify top, middle, and bottom.
-
H.05. Describe locations on a grid.
-
H.06. Give and follow directions using positional language.
I. Understand Addition
-
I.01. Model addition using pictures (sums up to 10).
-
I.02. Write addition sentences to represent sums up to 10.
-
I.03. Use number lines to solve addition problems (sums up to 10).
-
I.04. Understand the concept of adding zero.
-
I.05. Solve simple addition word problems (sums up to 10).
-
I.06. Write addition sentences for word problems (sums up to 10).
J. Addition Skill Builders
-
J.01. Practice adding 1 to a number.
-
J.02. Practice adding 2 to a number.
-
J.03. Practice adding 3 to a number.
-
J.04. Practice adding 4 to a number.
-
J.05. Practice adding 5 to a number.
-
J.06. Practice adding 6 to a number.
-
J.07. Practice adding 7 to a number.
-
J.08. Practice adding 8 to a number.
-
J.09. Practice adding 9 to a number.
-
J.10. Practice adding 0 to a number.
K. Addition
-
K.01. Recall addition facts (sums up to 10).
-
K.02. Identify different ways to make a number using addition sentences.
-
K.03. Complete addition sentences (sums up to 10).
-
K.04. Solve addition word problems (sums up to 10).
-
K.05. Solve addition word problems (sums up to 18).
-
K.06. Recall addition facts (sums up to 18).
-
K.07. Use number lines to solve addition problems (sums up to 18).
-
K.08. Write addition sentences for word problems (sums up to 18).
-
K.09. Recall addition facts (sums up to 20).
-
K.10. Identify different ways to make a number using addition sentences (sums up to 20).
-
K.11. Solve addition word problems (sums up to 20).
-
K.12. Identify related addition facts.
-
K.13. Determine if addition sentences are true or false.
-
K.14. Add a one-digit number to a two-digit number without regrouping.
-
K.15. Add a one-digit number to a two-digit number with regrouping.
-
K.16. Solve multi-step addition problems.
L. Addition Strategies
-
L.06. Add three numbers by making ten.
-
L.07. Add two multiples of ten.
-
L.08. Add a multiple of ten to a number.
-
L.09. Add three numbers.
-
L.10. Solve word problems involving adding three numbers.
-
L.11. Apply different strategies to solve addition problems efficiently.
-
L.01. Add doubles (e.g., 1+1, 2+2, 3+3).
-
L.02. Add using doubles plus one (e.g., 2+3, 4+5).
-
L.03. Add using doubles minus one (e.g., 3+2, 5+4).
-
L.04. Add three numbers using doubles.
-
L.05. Complete addition sentences to make ten.
M. Understand Subtraction
-
M.01. Model subtraction using pictures (numbers up to 10).
-
M.02. Write subtraction sentences to represent numbers up to 10.
-
M.03. Use number lines to solve subtraction problems (numbers up to 10).
-
M.04. Understand the concept of subtracting zero and all.
-
M.05. Solve simple subtraction word problems (numbers up to 10).
-
M.06. Write subtraction sentences for word problems (numbers up to 10).
N. Subtraction Skill Builders
-
N.01. Practice subtracting 1 from a number.
-
N.02. Practice subtracting 2 from a number.
-
N.03. Practice subtracting 3 from a number.
-
N.04. Practice subtracting 4 from a number.
-
N.05. Practice subtracting 5 from a number.
-
N.06. Practice subtracting 6 from a number.
-
N.07. Practice subtracting 7 from a number.
-
N.08. Practice subtracting 8 from a number.
-
N.09. Practice subtracting 9 from a number.
-
N.10. Practice subtracting 0 from a number.
O. Subtraction
-
O.01. Recall subtraction facts (numbers up to 10).
-
O.02. Identify different ways to make a number using subtraction sentences.
-
O.03. Identify different ways to subtract from a number using subtraction sentences.
-
O.04. Complete subtraction sentences (numbers up to 10).
-
O.05. Solve subtraction word problems (numbers up to 10).
-
O.06. Write subtraction sentences for word problems (numbers up to 10).
-
O.07. Recall subtraction facts (numbers up to 18).
-
O.08. Use number lines to solve subtraction problems (numbers up to 18).
-
O.09. Solve subtraction word problems (numbers up to 18).
-
O.10. Write subtraction sentences for word problems (numbers up to 18).
-
O.11. Identify different ways to make a number using subtraction sentences (numbers up to 20).
-
O.12. Identify related subtraction facts.
-
O.13. Determine if subtraction sentences are true or false.
-
O.14. Subtract a one-digit number from a two-digit number without regrouping.
-
O.15. Subtract a one-digit number from a two-digit number with regrouping.
P. Subtraction Strategies
-
P.01. Relate addition and subtraction sentences.
-
P.02. Subtract doubles (e.g., 2-2, 4-4, 6-6).
-
P.03. Subtract multiples of 10.
-
P.04. Subtract a multiple of 10 from a number.
-
P.05. Apply different strategies to solve subtraction problems efficiently.
Q. Mixed Operations
-
Q.01. Use addition and subtraction to find different ways to make a number.
-
Q.02. Determine which sign (+ or -) makes a number sentence true.
-
Q.03. Understand fact families (related addition and subtraction facts).
-
Q.04. Recall addition and subtraction facts (numbers up to 10).
-
Q.05. Recall addition and subtraction facts (numbers up to 18).
-
Q.06. Solve addition and subtraction word problems.
-
Q.07. Identify addition and subtraction terms (e.g., sum, difference).
-
Q.08. Create and solve own mixed operation word problems.
R. Measurement
-
R.01. Compare the length of objects (long and short).
-
R.02. Compare the height of objects (tall and short).
-
R.03. Compare the weight of objects (light and heavy).
-
R.04. Compare objects based on size and weight.
-
R.05. Use non-standard units to measure length and height.
S. Estimation
-
S.01. Estimate quantities of objects.
-
S.02. Round numbers to the nearest ten.
-
S.03. Apply estimation skills to solve real-world problems.
T. Money
-
T.01. Identify the value of different coins (penny, nickel, dime, quarter).
-
T.02. Count collections of coins.
-
T.03. Identify the value of different notes.
-
T.04. Apply knowledge of money to solve simple word problems involving money.
U. Time
-
U.01. Name the days of the week.
-
U.02. Name the seasons of the year.
-
U.03. Read a calendar.
-
U.04. Name the months of the year.
-
U.05. Differentiate between A.M. and P.M.
-
U.06. Tell time to the hour and half-hour using analog and digital clocks.
V. Data and Graphs
-
V.01. Interpret data presented in pictographs.
-
V.02. Determine which pictograph correctly represents a given dataset.
-
V.03. Interpret data presented in tally charts.
-
V.04. Determine which tally chart correctly represents a given dataset.
-
V.05. Interpret data presented in tables.
-
V.06. Determine which table correctly represents a given dataset.
-
V.07. Create simple pictographs, tally charts, and tables from given data.
-
V.08. Answer questions based on data presented in graphs and tables.
W. Sorting, Ordering, and Classifying
-
W.01. Sort shapes into a Venn diagram based on attributes.
-
W.02. Count the number of shapes in each section of a Venn diagram.
-
W.03. Put numbers in order from least to greatest.
-
W.04. Classify objects based on different attributes.
-
W.05. Develop and apply own sorting and classifying rules.
X. Probability
-
X.01. Understand the concepts of more likely, less likely, and equally likely.
-
X.02. Identify events as certain, probable, unlikely, or impossible.
-
X.03. Predict the likelihood of simple events.
-
X.04. Explain the reasoning behind probability predictions.