Course Content
A. Counting and Number Sense
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A.01. Skip-count by 2s, 5s, and 10s.
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A.02. Identify and extend skip-counting patterns.
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A.03. Use a hundred chart to understand number patterns.
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A.04. Represent numbers on a number line (up to 100).
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A.05. Identify numbers as even or odd.
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A.06. Order even and odd numbers on a number line.
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A.07. Determine the even or odd number before or after a given number.
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A.08. Count forward and backward to 1000.
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A.09. Identify and extend number patterns to 1000.
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A.10. Solve simple word problems involving skip counting.
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A.11. Apply skip counting to solve real-world problems.
B. Comparing and Ordering Numbers
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B.01. Compare two numbers up to 100 using , =.
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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 two numbers up to 1000 using , =.
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B.04. Order numbers up to 1000 from least to greatest and greatest to least.
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B.05. Identify the greatest and least numbers in a set.
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B.06. Solve word problems involving comparing and ordering numbers up to 1000.
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B.07. Apply comparison and ordering skills to real-world scenarios.
C. Number Names and Representation
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C.01. Write numbers up to 20 in word form.
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C.02. Write numbers up to 100 in word and digit form.
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C.03. Write numbers up to 1000 in word and digit form.
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C.04. Identify and use ordinal numbers (1st-100th).
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C.05. Distinguish between ordinal and cardinal numbers.
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C.06. Recognize and write Roman numerals I, V, X, L.
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C.07. Explain the relationship between number names and their numerical representations.
D. Patterns and Relationships
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D.01. Identify and extend simple repeating patterns.
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D.02. Identify and extend simple growing patterns.
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D.03. Create repeating and growing patterns.
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D.04. Describe the rule governing a given pattern.
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D.05. Apply pattern recognition skills to solve problems.
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D.06. Analyze and classify different types of patterns.
E. Addition (One-Digit)
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E.01. Add one-digit numbers with sums to 10 using models.
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E.02. Write addition sentences to represent pictures.
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E.03. Add one-digit numbers with sums to 20 using models.
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E.04. Add doubles (e.g., 5 + 5).
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E.05. Add one-digit numbers with sums to 20.
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E.06. Solve addition word problems with sums to 20.
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E.07. Use number lines to solve addition problems.
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E.08. Add zero to a number.
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E.09. Add three or more one-digit numbers.
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E.10. Relate addition to arrays.
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E.11. Solve addition equations.
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E.12. Explain the commutative property of addition.
F. Subtraction (One-Digit)
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F.01. Subtract one-digit numbers with differences up to 10 using models.
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F.02. Write subtraction sentences to represent pictures.
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F.03. Subtract one-digit numbers with differences up to 10.
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F.04. Subtract doubles.
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F.05. Subtract a one-digit number from a two-digit number up to 18.
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F.06. Solve subtraction word problems with differences up to 18.
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F.07. Use number lines to solve subtraction problems.
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F.08. Subtract zero from a number.
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F.09. Subtract all from a number.
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F.10. Solve subtraction equations.
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F.11. Explain the relationship between addition and subtraction.
G. Addition (Two-Digit)
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G.01. Add a two-digit and a one-digit number without regrouping using models.
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G.02. Add a two-digit and a one-digit number without regrouping.
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G.03. Add a two-digit and a one-digit number with regrouping using models.
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G.04. Add a two-digit and a one-digit number with regrouping.
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G.05. Add multiples of 10.
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G.06. Add two two-digit numbers without regrouping using models.
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G.07. Add two two-digit numbers without regrouping.
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G.08. Add two two-digit numbers with regrouping using models.
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G.09. Add two two-digit numbers with regrouping.
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G.10. Solve addition word problems with two-digit numbers.
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G.11. Solve addition equations involving two-digit numbers.
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G.12. Estimate sums of two-digit numbers.
H. Subtraction (Two-Digit)
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H.08. Estimate differences of two-digit numbers.
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H.01. Subtract multiples of 10.
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H.02. Subtract a one-digit number from a two-digit number without regrouping.
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H.03. Subtract a one-digit number from a two-digit number with regrouping.
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H.04. Subtract two two-digit numbers without regrouping.
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H.05. Subtract two two-digit numbers with regrouping.
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H.06. Solve subtraction word problems with two-digit numbers.
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H.07. Solve subtraction equations involving two-digit numbers.
I. Addition and Subtraction (Three-Digit)
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I.01. Add and subtract multiples of 100.
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I.02. Add and subtract multiples of 10 or 100.
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I.03. Add three-digit numbers without regrouping.
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I.04. Add three-digit numbers with regrouping.
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I.05. Subtract three-digit numbers without regrouping.
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I.06. Subtract three-digit numbers with regrouping.
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I.07. Solve addition and subtraction word problems with three-digit numbers.
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I.08. Solve equations involving three-digit numbers.
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I.09. Estimate sums and differences of three-digit numbers.
J. Properties of Operations
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J.01. Identify related addition facts (commutative property).
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J.02. Identify related subtraction facts.
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J.03. Identify fact families.
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J.04. Understand addition, subtraction, multiplication, and division terms.
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J.05. Use properties of operations to simplify calculations.
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J.06. Apply properties of operations to solve problems.
K. Mixed Operations
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K.01. Add and subtract numbers up to 20.
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K.02. Solve addition and subtraction word problems up to 20.
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K.03. Add and subtract numbers up to 100.
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K.04. Solve addition and subtraction word problems up to 100.
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K.05. Solve mixed operation problems involving addition and subtraction.
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K.06. Use number lines and other models to solve mixed operation problems.
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K.07. Interpret and create input/output tables.
L. Place Value
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L.01. Identify place value of tens and ones using models.
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L.02. Identify place value of hundreds, tens, and ones using models.
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L.03. Identify place value of thousands, hundreds, tens, and ones using models.
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L.04. Identify the value of a digit in a number.
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L.05. Regroup tens and ones.
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L.06. Represent numbers in expanded form.
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L.07. Convert between standard, expanded, and word forms of numbers.
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L.08. Apply place value understanding to solve problems.
M. Estimation and Rounding
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M.01. Estimate to the nearest ten.
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M.02. Round to the nearest ten.
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M.03. Round to the nearest ten or hundred.
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M.04. Round to the nearest ten, hundred, or thousand.
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M.05. Estimate sums and differences.
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M.06. Explain the purpose of estimation and rounding.
N. Logical Reasoning
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N.01. Solve simple logic puzzles.
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N.02. Use reasoning to solve problems.
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N.03. Develop problem-solving strategies.
O. Money
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O.01. Identify coin values.
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O.02. Count money up to $1, $2, and $100.
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O.03. Determine equivalent amounts of money.
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O.04. Exchange coins.
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O.05. Compare groups of coins.
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O.06. Add and subtract money.
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O.07. Solve money word problems.
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O.08. Make change.
P. Time
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P.01. Tell time to the hour and half-hour using analog and digital clocks.
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P.02. Tell time to the quarter-hour using analog and digital clocks.
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P.03. Understand time words (o’clock, half past, quarter past, quarter to).
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P.04. Understand A.M. and P.M.
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P.05. Compare times.
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P.06. Calculate elapsed time.
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P.07. Read a calendar.
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P.08. Identify days of the week and months of the year.
Q. Data and Graphs
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Q.01. Interpret and create tally charts.
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Q.02. Interpret and create bar graphs.
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Q.03. Interpret and create line plots.
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Q.04. Interpret and create pictographs.
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Q.05. Sort objects into Venn diagrams.
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Q.06. Analyze data presented in various formats.
R. Measurement
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R.01. Compare length, height, weight, and capacity using non-standard units.
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R.02. Measure using standard units (cm).
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R.03. Choose appropriate metric units of length, mass, and volume.
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R.04. Compare and convert metric units of volume and mass.
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R.05. Read a thermometer.
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R.06. Understand measurement concepts.
S. Two-Dimensional Shapes
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S.01. Identify and name two-dimensional shapes (squares, rectangles, triangles, circles).
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S.02. Count sides and vertices.
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S.03. Compare sides and vertices.
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S.04. Identify shapes with equal sides.
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S.05. Identify congruent shapes.
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S.06. Understand symmetry.
T. Three-Dimensional Shapes
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T.01. Identify and name three-dimensional shapes (cubes, rectangular prisms, spheres, cones, cylinders).
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T.02. Count vertices, edges, and faces.
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T.03. Compare vertices, edges, and faces.
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T.04. Identify shapes traced from solids.
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T.05. Identify faces of three-dimensional shapes.
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T.06. Understand the relationship between two-dimensional and three-dimensional shapes.
U. Geometric Measurement (Perimeter and Area)
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U.01. Understand the concept of perimeter.
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U.02. Calculate perimeter of simple shapes.
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U.03. Understand the concept of area.
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U.04. Calculate area of simple shapes.
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U.05. Solve word problems involving perimeter and area.
V. Fractions
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V.01. Identify halves, thirds, and fourths.
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V.02. Make halves, thirds, and fourths.
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V.03. Identify unit fractions.
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V.04. Represent fractions using models.
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V.05. Solve word problems involving fractions of a group.
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V.06. Compare simple fractions using models.
W. Probability and Statistics
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W.01. Understand terms like “more likely,” “less likely,” and “equally likely.”
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W.02. Understand terms like “certain,” “probable,” “unlikely,” and “impossible.”
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W.03. Identify the mode in a data set.
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W.04. Interpret charts to find the mode.
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W.05. Explore simple combinations.
X. Introduction to Multiplication
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X.01. Count equal groups of objects.
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X.02. Identify multiplication expressions for equal groups.
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X.03. Write multiplication sentences for equal groups.
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X.04. Relate addition and multiplication.
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X.05. Write multiplication sentences for arrays.
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X.06. Learn multiplication facts for 2, 3, and 4.
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X.07. Learn multiplication facts up to 5.
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X.08. Learn multiplication facts up to 10.
Y. Introduction to Division
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Y.01. Divide by counting equal groups.
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Y.02. Write division sentences for groups.
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Y.03. Understand divisors and quotients.
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Y.04. Learn division facts up to 5 and 10.
