Course Content
A. Counting and Number Recognition
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A.01. Identify numbers 1-100 on a hundred chart.
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A.02. Count forward from any number to 100.
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A.03. Count forward from any number to 1000.
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A.04. Identify numbers 1-1000 on a number line.
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A.05. Represent numbers 1-1000 using manipulatives (e.g., base ten blocks).
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A.06. Write the number words for numbers 1-20.
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A.07. Identify and write numbers 1-100 in word and digit form.
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A.08. Identify and write numbers 1-1000 in word and digit form.
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A.09. Understand and explain the concept of place value (tens and ones).
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A.10. Understand and explain the concept of place value (hundreds, tens, and ones).
B. Comparing and Ordering Numbers
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B.01. Compare numbers up to 100 using , and =.
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B.02. Order numbers up to 100 from least to greatest and greatest to least.
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B.03. Compare numbers up to 1,000 using , and =.
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B.04. Order numbers up to 1,000 from least to greatest and greatest to least.
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B.05. Solve word problems involving comparing and ordering numbers up to 100.
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B.06. Solve word problems involving comparing and ordering numbers up to 1,000.
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B.07. Identify the greatest and least numbers in a set of numbers up to 100.
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B.08. Identify the greatest and least numbers in a set of numbers up to 1000.
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B.09. Explain strategies for comparing and ordering larger numbers.
C. Skip-Counting and Number Patterns
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C.01. Skip-count by twos, fives, and tens to 100.
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C.02. Skip-count by twos, fives, and tens to 1000.
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C.03. Identify and extend skip-counting patterns.
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C.04. Count forward and backward by fives and tens to 100.
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C.05. Count forward and backward by twos, fives, tens, and hundreds to 1000.
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C.06. Solve word problems involving skip counting.
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C.07. Create and describe patterns using skip counting.
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C.08. Identify and explain the relationship between skip counting and multiplication.
D. Even and Odd Numbers
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D.01. Identify even and odd numbers up to 20 using concrete materials.
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D.02. Identify even and odd numbers up to 100.
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D.03. Determine whether a number is even or odd.
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D.04. Explain the rule for determining even and odd numbers.
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D.05. Solve word problems involving even and odd numbers.
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D.06. Identify patterns in sequences of even and odd numbers.
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D.07. Explain the relationship between even and odd numbers and divisibility by 2.
E. Addition Strategies: One-Digit Numbers
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E.01. Add doubles (e.g., 4 + 4) using manipulatives.
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E.02. Add doubles fluently.
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E.03. Add near doubles (e.g., 5 + 6).
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E.04. Add using a number line.
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E.05. Add by counting on.
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E.06. Make ten to add (e.g., 8 + 5 = 8 + 2 + 3 = 10 + 3 = 13).
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E.07. Add zero.
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E.08. Explain and apply the commutative property of addition.
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E.09. Explain and apply the associative property of addition.
F. Addition: One-Digit Numbers
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F.01. Add one-digit numbers with sums to 10.
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F.02. Add one-digit numbers with sums to 20.
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F.03. Add three or more one-digit numbers.
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F.04. Solve addition word problems with sums to 20.
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F.05. Write addition sentences for word problems.
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F.06. Solve addition equations with sums up to 20.
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F.07. Explain the relationship between addition and subtraction.
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F.08. Identify and correct errors in addition problems.
G. Subtraction Strategies: One-Digit Numbers
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G.04. Use ten to subtract (e.g., 15 – 8 = 15 – 5 – 3 = 10 – 3 = 7).
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G.05. Subtract by counting on.
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G.06. Subtract zero.
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G.07. Explain the relationship between addition and subtraction.
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G.08. Apply subtraction strategies to solve real-world problems.
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G.01. Subtract doubles (e.g., 8 – 4).
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G.02. Subtract using a number line.
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G.03. Subtract by counting back.
H. Subtraction: One-Digit Numbers
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H.01. Subtract one-digit numbers with differences up to 10.
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H.02. Subtract one-digit numbers from two-digit numbers up to 20.
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H.03. Solve subtraction word problems up to 20.
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H.04. Write subtraction sentences for word problems.
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H.05. Solve subtraction equations up to 20.
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H.06. Identify and correct errors in subtraction problems.
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H.07. Apply subtraction strategies to solve real-world problems.
I. Mixed Operations: One-Digit Numbers
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I.01. Add and subtract numbers up to 20.
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I.02. Solve addition and subtraction word problems up to 20.
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I.03. Write addition and subtraction sentences to represent word problems.
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I.04. Solve simple equations involving both addition and subtraction.
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I.05. Identify and solve for unknowns in simple equations.
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I.06. Explain how addition and subtraction are related.
J. Place Value
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J.01. Identify place value of ones and tens.
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J.02. Identify place value of ones, tens, and hundreds.
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J.03. Represent numbers using place value models (base ten blocks).
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J.04. Convert between standard form and expanded form.
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J.05. Compare and order numbers based on place value.
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J.06. Understand and apply the concept of regrouping.
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J.07. Solve problems involving place value (e.g., finding the value of a digit).
K. Addition Strategies: Two-Digit Numbers
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K.01. Add a two-digit number and a one-digit number without regrouping.
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K.02. Add a two-digit number and a one-digit number with regrouping.
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K.03. Add two two-digit numbers without regrouping.
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K.04. Add two two-digit numbers with regrouping.
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K.05. Use different strategies (e.g., breaking apart numbers, using place value) to add two-digit numbers.
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K.06. Solve addition word problems involving two-digit numbers.
L. Addition: Two-Digit Numbers
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L.01. Add two-digit numbers without regrouping.
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L.02. Add two-digit numbers with regrouping.
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L.03. Solve addition word problems involving two-digit numbers.
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L.04. Add three or more two-digit numbers.
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L.05. Solve addition equations with two-digit numbers.
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L.06. Apply addition strategies to solve real-world problems.
M. Subtraction Strategies: Two-Digit Numbers
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M.01. Subtract a one-digit number from a two-digit number without regrouping.
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M.02. Subtract a one-digit number from a two-digit number with regrouping.
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M.03. Subtract two two-digit numbers without regrouping.
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M.04. Subtract two two-digit numbers with regrouping.
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M.05. Use different strategies (e.g., breaking apart numbers, using place value) to subtract two-digit numbers.
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M.06. Solve subtraction word problems involving two-digit numbers.
N. Subtraction: Two-Digit Numbers
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N.01. Subtract two-digit numbers without regrouping.
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N.02. Subtract two-digit numbers with regrouping.
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N.03. Solve subtraction word problems involving two-digit numbers.
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N.04. Solve subtraction equations with two-digit numbers.
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N.05. Apply subtraction strategies to solve real-world problems.
O. Mixed Operations: Two-Digit Numbers
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O.01. Add and subtract two-digit numbers.
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O.02. Solve addition and subtraction word problems involving two-digit numbers.
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O.03. Solve equations involving both addition and subtraction of two-digit numbers.
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O.04. Apply mixed operation strategies to solve real-world problems.
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O.05. Explain the order of operations in simple equations.
P. Addition Strategies: Three-Digit Numbers
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P.01. Add three-digit numbers without regrouping using different strategies.
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P.02. Add three-digit numbers with regrouping using different strategies.
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P.03. Solve addition word problems involving three-digit numbers.
Q. Addition: Three-Digit Numbers
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Q.01. Add three-digit numbers without regrouping.
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Q.02. Add three-digit numbers with regrouping.
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Q.03. Solve addition word problems involving three-digit numbers.
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Q.04. Solve addition equations with three-digit numbers.
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Q.05. Apply addition strategies to solve real-world problems.
R. Subtraction Strategies: Three-Digit Numbers
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R.01. Subtract three-digit numbers without regrouping using different strategies.
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R.02. Subtract three-digit numbers with regrouping using different strategies.
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R.03. Solve subtraction word problems involving three-digit numbers.
S. Subtraction: Three-Digit Numbers
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S.01. Subtract three-digit numbers without regrouping.
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S.02. Subtract three-digit numbers with regrouping.
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S.03. Solve subtraction word problems involving three-digit numbers.
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S.04. Solve subtraction equations with three-digit numbers.
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S.05. Apply subtraction strategies to solve real-world problems.
T. Mixed Operations: Three-Digit Numbers
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T.01. Add and subtract three-digit numbers.
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T.02. Solve addition and subtraction word problems involving three-digit numbers.
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T.03. Solve equations involving both addition and subtraction of three-digit numbers.
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T.04. Apply mixed operation strategies to solve real-world problems.
U. Repeated Addition & Introduction to Multiplication
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U.01. Count equal groups of objects.
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U.02. Represent equal groups using repeated addition.
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U.03. Write addition sentences to represent equal groups.
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U.04. Solve word problems using repeated addition.
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U.05. Relate repeated addition to the concept of multiplication.
V. Properties of Addition
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V.01. Understand and apply the commutative property of addition.
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V.02. Understand and apply the associative property of addition.
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V.03. Identify related addition facts (fact families).
W. Estimation and Rounding
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W.01. Round numbers to the nearest ten.
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W.02. Round numbers to the nearest hundred.
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W.03. Estimate sums and differences.
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W.04. Explain the purpose of estimation and rounding.
X. Money (Up to $1)
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X.01. Identify and count pennies, nickels, dimes, and quarters.
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X.02. Count combinations of coins up to $1.
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X.03. Determine equivalent amounts of money up to $1.
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X.04. Solve word problems involving money up to $1.
Y. Money (Up to $100)
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Y.01. Count combinations of coins and bills up to $10.
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Y.02. Count combinations of coins and bills up to $100.
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Y.03. Solve word problems involving money up to $100.
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Y.04. Make change up to $1.00.
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Y.05. Make change up to $5.00.
Z. Time
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Z.01. Tell time to the hour and half-hour using analog and digital clocks.
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Z.02. Tell time to the nearest five minutes using analog and digital clocks.
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Z.03. Understand A.M. and P.M.
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Z.04. Solve word problems involving time.
AA. Calendars
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AA.01. Identify the days of the week.
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AA.02. Identify the months of the year.
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AA.03. Read and interpret a calendar.
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AA.04. Determine the number of days in a month.
BB. Data and Graphs
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BB.01. Create and interpret tally charts.
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BB.02. Create and interpret picture graphs.
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BB.03. Create and interpret bar graphs.
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BB.04. Create and interpret line plots.
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BB.05. Analyze data presented in different types of graphs.
CC. Measurement: Customary Units of Length
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CC.01. Measure length using inches.
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CC.02. Measure length using feet and yards.
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CC.03. Compare lengths using customary units.
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CC.04. Solve word problems involving customary units of length.
DD. Measurement: Metric Units of Length
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DD.01. Measure length using centimeters and meters.
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DD.02. Compare lengths using metric units.
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DD.03. Solve word problems involving metric units of length.
EE. Two-Dimensional Shapes
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EE.01. Identify and name common two-dimensional shapes (e.g., circle, square, rectangle, triangle).
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EE.02. Identify and classify polygons based on the number of sides.
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EE.03. Compare and contrast different two-dimensional shapes.
FF. Three-Dimensional Shapes
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FF.01. Identify and name common three-dimensional shapes (e.g., cube, sphere, cone, cylinder).
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FF.02. Identify and count the faces, edges, and vertices of three-dimensional shapes.
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FF.03. Compare and contrast different three-dimensional shapes.
GG. Area and Tiling
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GG.01. Tile a rectangle with squares.
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GG.02. Count the number of squares to find the area of a rectangle.
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GG.03. Explain the concept of area.
HH. Fractions
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HH.01. Understand the concept of equal parts.
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HH.02. Identify and represent halves, thirds, and fourths.
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HH.03. Relate fractions to whole numbers.
