Course Content
A. Place Value Foundations
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A.01. Identify the place value of each digit in a number up to five digits
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A.02. Convert numbers between standard and expanded forms
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A.03. Read and write numbers up to five digits in word form
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A.04. Apply knowledge of place value to round numbers to the nearest ten, hundred, or thousand
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A.05. Use place value understanding to compare numbers up to five digits using inequality symbols
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A.06. Explore the concept of ordinal numbers up to 100th and their applications
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A.07. Investigate and explain the relationship between place values and arithmetic rules for even and odd numbers
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A.08. Represent inequalities on a number line and interpret their meaning
B. Addition Proficiency
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B.01. Add two numbers up to five digits each
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B.02. Identify and apply the properties of addition (commutative, associative, identity)
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B.03. Add three or more numbers up to five digits each
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B.04. Solve word problems involving the addition of numbers up to five digits
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B.05. Determine missing digits in addition problems
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B.06. Recognize and extend addition patterns over increasing place values
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B.07. Estimate sums of numbers up to five digits
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B.08. Solve word problems that require estimating sums
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B.09. Choose numbers with a particular sum
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B.10. Apply addition strategies to solve multi-step word problems
C. Subtraction Mastery
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C.01. Subtract numbers up to five digits
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C.02. Solve word problems involving subtraction of numbers up to five digits
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C.03. Determine missing digits in subtraction problems
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C.04. Recognize and extend subtraction patterns over increasing place values
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C.05. Estimate differences of numbers up to five digits
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C.06. Solve word problems that require estimating differences
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C.07. Choose numbers with a particular difference
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C.08. Apply subtraction strategies to solve multi-step word problems
D. Multiplication Essentials
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D.01. Recall multiplication facts up to 10 x 10
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D.02. Determine the missing factor in multiplication equations (up to 10 x 10)
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D.03. Multiply 1-digit numbers by 2-digit numbers
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D.04. Multiply 1-digit numbers by 3-digit or 4-digit numbers
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D.05. Multiply 1-digit numbers by larger numbers
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D.06. Identify and apply the properties of multiplication (commutative, associative, distributive, identity, zero)
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D.07. Use multiplication to compare two numbers
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D.08. Recognize and extend multiplication patterns over increasing place values
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D.09. Estimate products when multiplying by 1-digit numbers
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D.10. Estimate products when multiplying by larger numbers
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D.11. Solve word problems that require estimating products
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D.12. Use visual aids to solve Multiplication using Box multiplication
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D.13. Use visual aids to solve Multiplication using Lattice multiplication
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D.14. Multiply a two-digit number by a two-digit number
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D.15. Multiply a two-digit number by a three-digit number
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D.16. Multiply numbers ending in zeroes
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D.17. Solve word problems involving multiplication of numbers ending in zeroes
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D.18. Multiply three numbers together
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D.19. Multiply a two-digit number by a two-digit number: complete the missing steps
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D.20. Multiply a two-digit number by a two-digit number: word problems
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D.21. Choose numbers with a particular product
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D.22. Multiply a two-digit number by a three-digit number: complete the missing steps
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D.23. Multiply a two-digit number by a three-digit number: word problems
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D.24. Apply multiplication strategies to solve multi-step word problems
E. Division Fundamentals
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E.01. Recall division facts up to 100 ÷ 10
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E.02. Solve word problems involving division facts
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E.03. Divide larger numbers by single-digit divisors
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E.04. Interpret remainders in division problems
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E.05. Divide numbers ending in zeroes
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E.06. Identify and apply the properties of division
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E.07. Determine missing values in a division table
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E.08. Solve word problems involving division of larger numbers
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E.09. Estimate quotients in word problems
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E.10. Apply divisibility rules for 2, 3, 5, 9, and 10
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E.11. Solve word problems using divisibility rules
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E.12. Recognize and extend division patterns over increasing place values
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E.13. Choose numbers with a particular quotient
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E.14. Apply division strategies to solve multi-step word problems
F. Fraction Concepts
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F.01. Divide shapes into equal parts representing halves and quarters
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F.02. Identify and name fractions represented by shaded parts of shapes
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F.03. Match shapes to corresponding simple fractions
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F.04. Identify fractions representing parts of a group
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F.05. Identify fractions in everyday contexts
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F.06. Solve word problems involving the recognition and use of fractions
G. Money Matters
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G.01. Compare different money amounts
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G.02. Round money amounts to the nearest dollar or cent
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G.03. Add and subtract money amounts
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G.04. Multiply and divide money amounts
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G.05. Calculate the amount of change when making a purchase
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G.06. Interpret and use price lists to determine the cost of items
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G.07. Calculate unit prices to compare the cost of different items
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G.08. Solve real-world problems involving money, including price lists with multiplication
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G.09. Use problem-solving strategies to make financial decisions
H. Time Calculations
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H.01. Convert between different units of time (seconds, minutes, hours, days, weeks, months, years)
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H.02. Add and subtract mixed time units
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H.03. Distinguish between A.M. and P.M.
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H.04. Calculate elapsed time
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H.05. Solve multi-step word problems involving start and end times
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H.06. Convert between 12-hour and 24-hour time formats
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H.07. Interpret transportation schedules using 12-hour time
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H.08. Interpret transportation schedules using 24-hour time
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H.09. Recognize and extend time patterns
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H.10. Apply time concepts to solve real-world problems
I. Measurement Systems
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I.01. Choose the appropriate metric unit of measure for length, mass, and volume
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I.02. Compare and convert metric units of length (mm, cm, m, km)
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I.03. Compare and convert metric units of mass (g, kg)
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I.04. Compare and convert metric units of volume (mL, L)
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I.05. Solve problems involving metric mixed units
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I.06. Estimate measurements in metric units
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I.07. Relate metric units to real-world objects and scenarios
J. Data Interpretation and Representation
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J.01. Read and interpret data presented in tables
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J.02. Interpret information displayed in bar graphs
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J.03. Create bar graphs to represent given data sets
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J.04. Interpret data presented in line plots
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J.05. Create line plots to represent given data sets
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J.06. Construct and interpret frequency charts
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J.07. Interpret stem-and-leaf plots
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J.08. Create stem-and-leaf plots
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J.09. Select the best type of graph to represent a particular data set
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J.10. Draw conclusions and make predictions based on data
K. Patterns and Sequences
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K.01. Complete increasing number patterns
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K.02. Complete geometric number patterns
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K.03. Solve word problems involving number patterns
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K.04. Apply pattern recognition skills in mixed review problems
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K.05. Create and describe number patterns
L. Geometric Foundations
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L.02. Identify three-dimensional figures
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L.03. Count vertices, edges, and faces of three-dimensional figures
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L.04. Identify the faces of three-dimensional figures
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L.05. Describe three-dimensional figures based on their properties
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L.06. Recognize and identify nets of three-dimensional figures
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L.07. Determine the number of sides in polygons
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L.08. Identify lines of symmetry in two-dimensional figures
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L.09. Recognize and identify rotational symmetry
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L.10. Classify angles based on their measures (acute, right, obtuse)
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L.01. Identify two-dimensional figures based on their properties
M. Perimeter and Area Concepts
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M.01. Calculate the perimeter of rectangles
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M.02. Calculate the perimeter of polygons
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M.03. Calculate the perimeter of rectilinear shapes
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M.04. Determine a missing side length given the perimeter of a shape
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M.05. Use perimeter to determine the cost of fencing or bordering an area
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M.06. Find the area of figures made of unit squares
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M.07. Select figures with a given area
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M.08. Select two figures with the same area
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M.09. Create figures with a given area
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M.10. Find the area or missing side length of a rectangle
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M.11. Solve word problems involving area and perimeter
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M.12. Compare and contrast area and perimeter in different shapes
N. Mixed Operations Mastery
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N.01. Solve problems involving addition, subtraction, multiplication, and division
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N.02. Solve word problems involving addition, subtraction, multiplication, and division
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N.03. Estimate sums, differences, products, and quotients in word problems
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N.04. Solve multi-step word problems involving mixed operations
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N.05. Identify extra or missing information in word problems
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N.06. Solve word problems using the guess-and-check strategy
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N.07. Choose numbers with a particular sum, difference, product, or quotient
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N.08. Mentally add and subtract numbers ending in zeroes
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N.09. Apply the order of operations to solve complex mathematical expressions
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N.10. Develop strategies for checking the reasonableness of answers
O. Logical Reasoning and Problem Solving
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O.01. Find two numbers based on their sum and difference
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O.02. Find two numbers based on their sum, difference, product, and quotient
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O.03. Determine the order of events or objects based on given clues
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O.04. Use logical reasoning to solve puzzles and riddles
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O.05. Develop problem-solving strategies using multiple pieces of information
P. Understanding Probability
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P.01. Understand the basic concepts of probability
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P.02. Find the probability of a simple event
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P.03. Make predictions based on probability
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P.04. Determine the number of possible combinations of items
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P.05. Apply probability concepts to real-world scenarios
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P.06. Design and conduct simple probability experiments
