Course Content
A. Place Values and Number Sense
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A.01. Identify the place value of digits in whole numbers.
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A.02. Read and write word names for numbers.
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A.03. Convert between different place values within a number.
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A.04. Round whole numbers to a specified place value.
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A.05. Compare and order whole numbers using place value understanding.
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A.06. Determine if a number is even or odd using arithmetic rules.
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A.07. Apply place value understanding to solve real-world problems.
B. Addition and Subtraction
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B.01. Add and subtract whole numbers accurately.
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B.02. Complete addition and subtraction sentences with missing numbers.
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B.03. Apply the properties of addition (commutative, associative, identity).
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B.04. Estimate sums and differences of whole numbers.
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B.05. Solve word problems involving addition and subtraction of whole numbers.
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B.06. Choose numbers that satisfy a particular sum or difference.
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B.07. Fill in missing digits in addition and subtraction problems.
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B.08. Use estimation to check the reasonableness of sums and differences in real-world contexts.
C. Multiplication
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C.01. Multiply numbers ending in zeroes using patterns.
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C.02. Multiply by one-digit numbers accurately.
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C.03. Choose numbers that satisfy a particular product.
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C.04. Apply properties of multiplication (commutative, associative, distributive, identity).
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C.05. Estimate products of whole numbers.
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C.06. Solve word problems involving multiplication.
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C.07. Use box multiplication to multiply multi-digit numbers.
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C.08. Multiply numbers with increasing place values.
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C.09. Use lattice multiplication to multiply multi-digit numbers.
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C.10. Multiply three or four numbers together.
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C.11. Multiply 2-digit numbers by 2-digit and 3-digit numbers.
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C.12. Complete missing steps in multi-digit multiplication problems.
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C.13. Solve multi-step word problems involving multiplication.
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C.14. Apply multiplication to solve problems involving rates and scaling.
D. Division
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D.01. Recall division facts up to 12.
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D.02. Divide numbers ending in zeroes using patterns.
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D.03. Identify numbers divisible by 2, 3, 5, 6, 9, and 10 using divisibility rules.
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D.04. Divide by one-digit numbers accurately.
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D.05. Choose numbers that satisfy a particular quotient.
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D.06. Estimate quotients in division problems.
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D.07. Solve word problems involving division.
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D.08. Interpret remainders in division problems.
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D.09. Divide by two-digit numbers accurately.
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D.10. Solve multi-step word problems involving division.
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D.11. Apply division to solve problems involving equal sharing and grouping.
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D.12. Use division to find the average of a set of numbers.
E. Fractions
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E.01. Review basic fraction concepts (numerator, denominator, types of fractions).
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E.02. Identify and model unit fractions.
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E.03. Write fractions in lowest terms.
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E.04. Identify equivalent fractions.
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E.05. Generate patterns of equivalent fractions.
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E.06. Compare fractions with like and unlike denominators.
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E.07. Order a set of fractions from least to greatest.
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E.08. Determine a fraction of a whole number.
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E.09. Solve word problems involving fractions of a whole.
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E.10. Understand and represent mixed numbers.
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E.11. Relate fractions to division and ratios.
F. Decimals
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F.01. Identify the place value of digits in decimal numbers.
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F.02. Read and write decimals expressed in words.
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F.03. Understand the relationship between decimals and fractions.
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F.04. Model decimals using visual representations.
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F.05. Identify equivalent decimals.
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F.06. Compare decimals using number lines.
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F.07. Compare and order decimal numbers.
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F.08. Round decimals to a specified place value.
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F.09. Convert fractions to decimals.
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F.10. Convert decimals to fractions.
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F.11. Solve word problems involving decimals in real-world contexts.
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F.12. Locate decimals on a number line.
G. Mixed Operations
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G.01. Add, subtract, multiply, and divide whole numbers efficiently.
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G.02. Evaluate expressions involving multiple operations using the order of operations (PEMDAS/BODMAS).
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G.03. Solve multi-step word problems involving mixed operations.
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G.04. Determine the operations needed to solve a given problem.
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G.05. Create and solve real-world problems involving mixed operations.
H. Money
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H.01. Add and subtract money amounts in decimal form.
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H.02. Solve word problems involving addition and subtraction of money.
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H.03. Solve word problems involving multiplication of money amounts.
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H.04. Solve word problems involving division of money amounts.
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H.05. Interpret and use price lists to solve problems.
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H.06. Calculate unit prices to determine the best value.
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H.07. Create a budget and track expenses.
I. Time
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I.01. Convert between different units of time (seconds, minutes, hours, days, weeks, months, years).
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I.02. Add and subtract mixed time units (e.g., hours and minutes).
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I.03. Calculate elapsed time between two given times.
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I.04. Determine start and end times given elapsed time.
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I.05. Convert between 12-hour and 24-hour time formats.
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I.06. Interpret and use schedules and timelines in 12-hour and 24-hour formats.
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I.07. Identify and extend time patterns.
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I.08. Solve word problems involving time calculations.
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I.09. Understand time zones and their impact on time differences.
J. Units of Measurement
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J.01. Choose the appropriate metric unit of measure for length, mass, and volume.
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J.02. Compare and convert metric units of length (mm, cm, m, km).
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J.03. Compare and convert metric units of mass (mg, g, kg).
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J.04. Compare and convert metric units of volume (mL, L).
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J.05. Choose the more reasonable temperature in Celsius.
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J.06. Work with mixed metric units to solve problems.
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J.07. Estimate measurements in metric units.
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J.08. Solve real-world problems involving metric conversions.
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J.09. Introduce customary units of measurement (e.g., inches, feet, pounds, gallons).
K. Problem Solving
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K.05. Use Venn diagrams to solve problems involving sets.
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K.06. Identify patterns and relationships in word problems.
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K.07. Break down complex problems into simpler steps.
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K.08. Justify solutions using mathematical reasoning.
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K.01. Solve multi-step word problems requiring multiple operations.
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K.02. Solve word problems with extra or missing information.
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K.03. Use guess-and-check strategies to solve problems.
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K.04. Determine the logical order of events in a problem.
L. Number Sequences
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L.01. Complete increasing number sequences.
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L.02. Complete geometric number sequences.
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L.03. Use a rule to complete a number sequence.
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L.04. Solve word problems involving number sequences.
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L.05. Identify and extend patterns in number sequences.
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L.06. Create number sequences based on given rules.
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L.07. Analyze and describe the relationship between terms in a sequence.
M. Data and Graphs
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M.01. Read and interpret data presented in tables, line graphs, bar graphs, pictographs, histograms, line plots, frequency charts, and stem-and-leaf plots.
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M.02. Create line graphs, bar graphs, pictographs, histograms, line plots, and stem-and-leaf plots to represent data.
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M.03. Choose the best type of graph to represent a given set of data.
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M.04. Analyze data to draw conclusions and make inferences.
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M.05. Identify trends and patterns in data visualizations.
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M.06. Use data and graphs to support arguments and make informed decisions.
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M.07. Calculate measures of central tendency (mean, median, mode) from data sets.
N. Probability
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N.01. Understand the basic concepts of probability (chance, likelihood).
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N.02. Determine the probability of a simple event.
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N.03. Make predictions based on probability.
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N.04. Calculate the number of possible combinations.
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N.05. Distinguish between certain, likely, unlikely, and impossible events.
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N.06. Express probabilities as fractions, decimals, and percentages.
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N.07. Conduct simple experiments to test probability predictions.
O. Geometry
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O.01. Identify and classify two-dimensional figures (polygons) by their properties.
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O.02. Identify the number of sides in polygons.
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O.03. Distinguish between regular and irregular polygons.
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O.04. Identify different types of angles (acute, obtuse, right, straight).
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O.05. Measure angles using a protractor.
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O.06. Identify lines of symmetry in two-dimensional figures.
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O.07. Determine if a figure has rotational symmetry.
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O.08. Identify reflections, rotations, and translations of figures.
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O.09. Identify and name three-dimensional figures (cubes, spheres, cones, cylinders, pyramids, prisms).
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O.10. Count the number of vertices, edges, and faces of three-dimensional figures.
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O.11. Identify nets of three-dimensional figures.
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O.12. Visualize three-dimensional figures from different perspectives.
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O.13. Classify triangles by their sides and angles.
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O.14. Understand the relationship between angles and sides in polygons.
P. Geometric Measurement
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P.01. Calculate the perimeter of polygons.
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P.02. Find missing side lengths of polygons given the perimeter.
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P.03. Calculate the area of squares and rectangles.
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P.04. Determine the area and perimeter of figures on grids.
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P.05. Solve word problems involving area and perimeter.
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P.06. Use area and perimeter to determine the cost of materials.
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P.07. Calculate the volume of figures made of unit cubes.
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P.08. Differentiate between area, perimeter, and volume.
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P.09. Apply geometric measurement concepts to real-world situations.
