Course Content
A. Numbers and Comparing
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A.01. Skip-count by twos, fives, and tens.
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A.02. Identify and extend number sequences.
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A.03. Differentiate between even and odd numbers.
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A.04. Understand and apply the concepts of prime and composite numbers.
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A.05. Recognize and use ordinal numbers up to 100th.
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A.06. Represent numbers on a number line (up to 1000).
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A.07. Write numbers in words (up to 100,000).
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A.08. Understand and use Roman numerals (I, V, X, L, C, D, M).
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A.09. Compare and order numbers (up to 100,000).
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A.10. Solve problems involving comparing and ordering numbers.
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A.11. Apply skip-counting to solve real-world problems.
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A.12. Explore patterns in number sequences.
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A.13. Explain the relationship between even/odd numbers and divisibility.
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A.14. Apply prime and composite numbers to solve simple problems.
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A.15. Use ordinal numbers in real-world contexts.
B. Place Value
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B.01. Identify place value up to hundreds.
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B.02. Identify place value up to ten thousands.
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B.03. Determine the value of a digit in a number.
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B.04. Convert between standard and expanded forms (up to ten thousands).
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B.05. Convert between different place values (up to ten thousands).
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B.06. Solve word problems involving place value (up to ten thousands).
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B.07. Explain the meaning of place value in larger numbers.
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B.08. Apply place value to solve multi-step problems.
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B.09. Represent numbers in different forms (e.g., word form, standard form, expanded form).
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B.10. Compare and order numbers based on their place values.
C. Addition
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C.01. Add one-digit numbers fluently.
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C.02. Add two numbers up to two digits.
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C.03. Add two numbers up to three digits (without regrouping).
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C.04. Add two numbers up to three digits (with regrouping).
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C.05. Add three or more numbers up to three digits.
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C.06. Solve addition word problems (up to three digits).
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C.07. Add two numbers up to four digits.
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C.08. Add three or more numbers up to four digits.
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C.09. Solve addition word problems (up to four digits).
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C.10. Understand and apply the properties of addition (commutative, associative).
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C.11. Solve multi-step addition problems.
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C.12. Apply addition to solve real-world problems.
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C.13. Estimate sums and check for reasonableness of answers.
D. Subtraction
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D.01. Subtract numbers up to two digits fluently.
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D.02. Subtract numbers up to three digits (without regrouping).
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D.03. Subtract numbers up to three digits (with regrouping).
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D.04. Solve subtraction word problems (up to three digits).
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D.05. Subtract numbers up to four digits.
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D.06. Solve subtraction word problems (up to four digits).
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D.07. Understand and apply subtraction in real-world contexts.
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D.08. Solve multi-step subtraction problems.
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D.09. Estimate differences and check for reasonableness of answers.
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D.10. Apply inverse relationship between addition and subtraction.
E. Understanding Multiplication
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E.01. Understand multiplication as repeated addition.
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E.02. Represent multiplication using equal groups and arrays.
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E.03. Write and solve multiplication sentences.
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E.04. Multiply by 0 and 1.
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E.05. Relate addition and multiplication.
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E.06. Explore the commutative property of multiplication.
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E.07. Use models to represent multiplication (e.g., arrays, number lines).
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E.08. Solve simple multiplication word problems.
F. Multiplication Skill Builders
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F.01. Multiply by 0, 1, 2, 3, 4, 5.
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F.02. Multiply by 6, 7, 8, 9, 10, 11, 12.
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F.03. Practice multiplication facts up to 12 fluently.
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F.04. Solve simple multiplication word problems using facts up to 12.
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F.05. Apply multiplication facts in real-world contexts.
G. Multiplication Fluency
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G.01. Master multiplication facts up to 12.
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G.02. Solve multiplication problems involving multiple operations.
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G.03. Identify and explain patterns in multiplication facts.
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G.04. Apply strategies for learning and memorizing multiplication facts.
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G.05. Use multiplication facts to solve various problem types.
H. Multiplication
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H.01. Multiply by multiples of ten.
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H.02. Multiply numbers ending in zeros.
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H.03. Multiply one-digit numbers by two-digit numbers.
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H.04. Multiply one-digit numbers by three-digit numbers.
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H.05. Multiply three or more numbers.
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H.06. Solve multiplication word problems (multi-step).
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H.07. Explore the distributive property of multiplication.
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H.08. Apply area models to solve multiplication problems.
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H.09. Estimate products and check for reasonableness.
I. Understanding Division
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I.01. Understand division as equal sharing and repeated subtraction.
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I.02. Represent division using equal groups and arrays.
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I.03. Write and solve division sentences.
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I.04. Relate multiplication and division.
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I.05. Solve simple division word problems.
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I.06. Explore the commutative property of division.
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I.07. Use models to represent division (e.g., arrays, number lines).
J. Division Skill Builders
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J.01. Divide by 1, 2, 3, 4, 5.
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J.02. Divide by 6, 7, 8, 9, 10, 11, 12.
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J.03. Practice division facts up to 12 fluently.
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J.04. Solve simple division word problems using facts up to 12.
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J.05. Apply division facts in real-world contexts.
K. Division Fluency
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K.01. Master division facts up to 12.
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K.02. Solve division problems involving multiple operations.
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K.03. Identify and explain patterns in division facts.
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K.04. Apply strategies for learning and memorizing division facts.
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K.05. Use division facts to solve various problem types.
L. Division
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L.01. Divide numbers ending in zeros.
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L.02. Divide two-digit numbers.
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L.03. Divide two-digit numbers with remainders.
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L.04. Divide three-digit numbers.
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L.05. Solve division word problems (multi-step).
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L.06. Apply division to solve real-world problems.
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L.07. Explore divisibility rules for 2, 5, and 10.
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L.08. Explore divisibility rules for 3, 6, and 9.
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L.09. Explore divisibility rules for 4 and 8.
M. Mixed Operations
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M.01. Perform addition, subtraction, multiplication, and division operations in order of operations (PEMDAS/BODMAS).
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M.02. Solve multi-step word problems involving all four operations.
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M.03. Apply problem-solving strategies to solve mixed operation problems.
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M.04. Use estimation to check the reasonableness of answers.
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M.05. Explain the reasoning behind the order of operations.
N. Equations and Variables
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N.01. Identify equations.
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N.02. Solve simple equations involving addition and subtraction.
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N.03. Solve simple equations involving multiplication and division.
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N.04. Solve multi-step equations.
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N.05. Write equations to represent word problems.
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N.06. Use variables to represent unknowns in equations.
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N.07. Explain the meaning of solving an equation.
O. Estimation and Rounding
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O.03. Use estimation to solve word problems.
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O.04. Explain the purpose of estimation.
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O.05. Apply rounding and estimation to solve real-world problems.
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O.01. Round numbers to the nearest 10, 100, 1000, 10,000.
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O.02. Estimate sums, differences, products, and quotients.
P. Logical Reasoning
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P.01. Solve simple logic puzzles and riddles.
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P.02. Use logical reasoning to solve problems.
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P.03. Determine the validity of mathematical statements.
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P.04. Apply logical reasoning in different contexts.
Q. Patterns
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Q.01. Identify and extend repeating patterns.
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Q.02. Identify and extend growing patterns.
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Q.03. Create patterns based on given rules.
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Q.04. Describe patterns using mathematical language.
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Q.05. Apply pattern recognition to solve problems.
R. Money
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R.01. Count coins and bills.
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R.02. Make change.
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R.03. Solve word problems involving money.
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R.04. Compare and order money amounts.
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R.05. Apply money skills in real-world contexts.
S. Time
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S.01. Tell time to the nearest minute.
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S.02. Understand A.M. and P.M.
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S.03. Calculate elapsed time.
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S.04. Interpret schedules.
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S.05. Convert between different units of time (seconds, minutes, hours).
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S.06. Apply time skills in real-world contexts.
T. Data and Graphs
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T.01. Read and interpret pictographs, bar graphs, and line plots.
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T.02. Create pictographs, bar graphs, and line plots.
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T.03. Solve problems using data from graphs.
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T.04. Analyze data presented in various formats.
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T.05. Draw conclusions based on data analysis.
U. Units of Measurement
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U.01. Measure length using a ruler (cm).
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U.02. Measure mass using appropriate units (g, kg).
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U.03. Measure volume using appropriate units (mL, L).
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U.04. Convert between units of length, mass, and volume.
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U.05. Choose appropriate measuring tools and units.
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U.06. Apply measurement skills in real-world contexts.
V. Geometry
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V.01. Identify two-dimensional shapes (squares, rectangles, triangles, circles).
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V.02. Identify three-dimensional shapes (cubes, rectangular prisms, spheres, cones, cylinders).
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V.03. Count sides and vertices of shapes.
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V.04. Identify parallel and perpendicular lines.
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V.05. Understand concepts of angles.
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V.06. Identify congruent shapes.
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V.07. Understand symmetry.
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V.08. Compose and decompose shapes.
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V.09. Apply geometric concepts to real-world contexts.
W. Geometric Measurement
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W.01. Calculate perimeter of rectangles and other polygons.
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W.02. Calculate area of rectangles and squares.
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W.03. Calculate area of complex figures.
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W.04. Find the volume of simple shapes.
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W.05. Apply geometric measurement to solve real-world problems.
X. Understanding Fractions
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X.01. Identify equal parts of a whole.
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X.02. Identify and represent halves, thirds, fourths, sixths, and eighths.
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X.03. Use models to represent fractions.
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X.04. Identify and represent unit fractions.
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X.05. Solve word problems involving fractions of a whole and fractions of a group.
Y. Equivalent Fractions
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Y.01. Identify equivalent fractions using models and number lines.
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Y.02. Find equivalent fractions.
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Y.03. Simplify fractions to lowest terms.
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Y.04. Understand the concept of equivalence.
Z. Compare and Order Fractions
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Z.01. Compare and order fractions with like denominators.
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Z.02. Compare and order fractions with unlike denominators (using models).
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Z.03. Use number lines to compare and order fractions.
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Z.04. Apply fraction comparison and ordering to solve problems.
AA. Decimals
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AA.01. Identify and represent decimals using models.
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AA.02. Convert between decimals and fractions.
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AA.03. Understand place value in decimals.
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AA.04. Compare and order decimals.
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AA.05. Add and subtract decimals.
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AA.06. Solve word problems involving decimals.
BB. Probability and Statistics
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BB.01. Understand and describe the likelihood of events (certain, probable, unlikely, impossible).
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BB.02. Determine the probability of simple events.
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BB.03. Find the mode of a data set.
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BB.04. Find the mean of a data set.
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BB.05. Interpret charts to find mean and mode.
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BB.06. Understand combinations.
