
Course Content
A. Counting and Number Recognition
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A.01. Recognize and identify numbers up to 1,000
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A.02. Count forward and backward within 1,000
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A.03. Identify even and odd numbers
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A.04. Skip-count by 2s, 5s, and 10s up to 100
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A.05. Identify numbers as even or odd using concrete materials
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A.06. Determine which even or odd number comes before or after a given number
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A.07. Explore skip-counting in real-world scenarios and create corresponding stories
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A.08. Solve skip-counting puzzles using visual aids
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A.09. Investigate and create various counting patterns up to 1,000
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A.10. Use number lines to represent and solve counting problems up to 100
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A.11. Use hundred charts to visualize number patterns and relationships
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A.12. Extend number lines to represent and solve counting problems up to 1,000
B. Comparing and Ordering Numbers
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B.06. Solve word problems involving finding the greatest or least number up to 1,000.
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B.07. Use the greater than, less than, and equal to symbols (, =) to compare numbers up to 1,000.
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B.01. Compare two numbers up to 100 using terms like “greater than,” “less than,” or “equal to.”
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B.02. Order a set of numbers up to 100 from least to greatest or greatest to least.
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B.03. Compare two numbers up to 1,000 using terms like “greater than,” “less than,” or “equal to.”
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B.04. Order a set of numbers up to 1,000 from least to greatest or greatest to least.
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B.05. Solve word problems involving finding the greatest or least number up to 100.
C. Place Value Foundations
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C.01. Identify and represent place values using models for tens and ones.
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C.02. Determine the value of a digit in the tens and ones places.
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C.03. Regroup tens and ones to represent numbers in different ways.
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C.04. Convert between a number and its representation in tens and ones.
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C.05. Identify and represent place values using models for hundreds, tens, and ones.
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C.06. Determine the value of a digit in the hundreds, tens, and ones places.
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C.07. Regroup tens and ones – explore ways to make a number.
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C.08. Convert to/from a number – up to hundreds.
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C.09. Identify and represent place values using models for thousands, hundreds, tens and ones.
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C.10. Convert to/from a number – up to thousands.
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C.11. Convert between place values – up to thousands.
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C.12. Convert from expanded form – up to hundreds.
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C.13. Convert from expanded form – up to thousands.
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C.14. Identify a digit up to the hundreds place.
D. Basic Addition and Subtraction Facts
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D.01. Recall addition facts with sums up to 10.
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D.02. Recall subtraction facts with minuends up to 10.
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D.03. Demonstrate different ways to make a number using addition (sums to 10).
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D.04. Demonstrate different ways to subtract (up to 10).
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D.05. Write addition sentences to represent pictures (sums to 10).
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D.06. Write subtraction sentences to represent pictures (up to 10).
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D.07. Solve one-digit addition word problems.
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D.08. Solve one-digit subtraction word problems (up to 10).
E. Addition and Subtraction within 20
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E.01. Add doubles (e.g., 2+2, 5+5)
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E.02. Add one-digit numbers with sums up to 20.
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E.03. Subtract doubles.
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E.04. Subtract a one-digit number from a two-digit number up to 18
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E.05. Add zero.
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E.06. Subtract zero/all.
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E.07. Write addition sentences to describe pictures – sums to 20.
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E.08. Write subtraction sentences to describe pictures – up to 18.
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E.09. Complete the addition sentence – one digit.
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E.10. Complete the subtraction sentence – up to 18.
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E.11. Write the addition sentence – one digit.
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E.12. Write the subtraction sentence – up to 18.
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E.13. Solve addition word problems – one digit.
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E.14. Solve subtraction word problems – up to 18.
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E.15. Balance addition equations – one digit.
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E.16. Balance subtraction equations – up to 18.
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E.17. Complete addition/subtraction input/output tables.
F. Two-Digit Addition and Subtraction
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F.01. Add multiples of 10 (e.g., 10+20, 30+40).
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F.02. Subtract multiples of 10.
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F.03. Add a two-digit and a one-digit number without regrouping.
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F.04. Subtract a one-digit number from a two-digit number – without regrouping.
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F.05. Add a two-digit and a one-digit number with regrouping.
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F.06. Subtract a one-digit number from a two-digit number – with regrouping.
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F.07. Add two two-digit numbers without regrouping.
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F.08. Subtract two two-digit numbers – without regrouping.
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F.09. Add two two-digit numbers with regrouping.
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F.10. Subtract two two-digit numbers – with regrouping.
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F.11. Write addition sentences to describe pictures.
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F.12. Write subtraction sentences to describe pictures – up to two digits.
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F.13. Ways to make a number using addition.
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F.14. Ways to make a number using subtraction.
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F.15. Complete the addition sentence – up to two digits.
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F.16. Complete the subtraction sentence – up to two digits.
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F.17. Write the addition sentence – up to two digits.
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F.18. Write the subtraction sentence – up to two digits.
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F.19. Solve addition word problems – up to two digits.
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F.20. Solve subtraction word problems – up to two digits.
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F.21. Complete addition/subtraction input/output tables – up to two digits.
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F.22. Balance addition equations – up to two digits.
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F.23. Balance subtraction equations – up to two digits.
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F.24. Add three or more numbers up to two digits each.
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F.25. Add three or more numbers up to two digits – word problems.
G. Three-Digit Addition and Subtraction
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G.01. Add multiples of 100.
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G.02. Subtract multiples of 100.
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G.03. Solve addition problems with three-digit numbers.
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G.04. Solve subtraction problems with three-digit numbers.
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G.05. Solve addition word problems – up to three digits.
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G.06. Solve subtraction word problems – up to three digits.
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G.07. Complete the addition sentence – up to three digits.
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G.08. Complete the subtraction sentence – up to three digits.
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G.09. Write the addition sentence – up to three digits.
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G.10. Write the subtraction sentence – up to three digits.
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G.11. Complete addition/subtraction input/output tables – up to three digits.
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G.12. Balance addition equations – up to three digits.
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G.13. Balance subtraction equations – up to three digits.
H. Time Telling
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H.01. Match analogue clocks and times.
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H.02. Match digital clocks and times.
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H.03. Match analogue and digital clocks.
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H.04. Read clocks and write times.
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H.05. Identify time words: o’clock, half, quarter.
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H.06. Distinguish between A.M. and P.M.
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H.07. Compare clocks
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H.08. Relate time units
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H.09. Determine elapsed time.
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H.10. Identify time patterns.
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H.11. Understand the order of seasons.
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H.12. Identify the days of the week.
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H.13. Recite the months of the year.
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H.14. Recognize the number of days in each month.
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H.15. Read a calendar.
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H.16. Apply time-telling skills to real-world scenarios.
I. Money Recognition and Calculation
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I.01. Identify coin values.
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I.02. Count money up to €1.
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I.03. Count money up to €5.
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I.04. Determine equivalent amounts of money up to €1.
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I.05. Determine equivalent amounts of money up to €5.
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I.06. Exchange coins.
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I.07. Compare groups of coins.
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I.08. Find the least number of coins to make an amount.
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I.09. Add and subtract money up to €1.
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I.10. Add and subtract money – word problems – up to €1.
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I.11. Add and subtract money – word problems – up to €5.
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I.12. Determine which picture shows more money up to €1.
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I.13. Determine which picture shows more money up to €5.
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I.14. Determine if you have enough money for a purchase up to €1.
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I.15. Determine if you have enough money for a purchase up to €5.
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I.16. Determine how much more is needed to make one euro.
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I.17. Calculate making change.
J. Measurement Fundamentals
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J.13. Compare and convert metric units of volume.
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J.14. Compare and convert metric units of mass.
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J.01. Understand and use comparative terms for length (long and short).
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J.02. Understand and use comparative terms for height (tall and short).
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J.03. Understand and use comparative terms for weight (light and heavy).
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J.04. Understand and use comparative terms for capacity (Holds more or less).
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J.05. Compare size, weight and capacity.
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J.06. Read a thermometer.
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J.07. Measure using a centimetre ruler.
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J.08. Choose the appropriate measuring tool.
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J.09. Identify appropriate metric unit of length.
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J.10. Solve word problems involving metric units of length.
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J.11. Identify appropriate metric unit of mass.
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J.12. Identify appropriate metric unit of volume.
K. Data Representation and Interpretation
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K.01. Identify a correct tally chart.
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K.02. Interpret information from tally charts.
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K.03. Interpret information from bar graphs.
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K.04. Identify a correct bar graph.
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K.05. Interpret information from line plots.
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K.06. Create line plots.
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K.07. Interpret pictographs I.
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K.08. Interpret pictographs II.
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K.09. Create pictographs.
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K.10. Interpret line graphs.
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K.11. Identify a correct line graph.
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K.12. Sort shapes into a Venn diagram.
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K.13. Count shapes in a Venn diagram.
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K.14. Collect and organize data using various methods.
L. Geometry: Shapes and Attributes
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L.01. Name two-dimensional shapes.
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L.02. Select two-dimensional shapes.
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L.03. Count sides and vertices.
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L.04. Compare sides and vertices.
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L.05. Recognize angles: greater than, less than or equal to a right angle
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L.06. Identify flip, turn and slide.
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L.07. Identify congruent shapes.
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L.08. Recognize symmetry.
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L.09. Name three-dimensional shapes.
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L.10. Select three-dimensional shapes.
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L.11. Count vertices, edges and faces.
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L.12. Compare vertices, edges and faces.
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L.13. Identify shapes traced from solids.
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L.14. Identify faces of three-dimensional shapes.
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L.15. Recognize Shapes of everyday objects I.
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L.16. Recognize Shapes of everyday objects II.
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L.17. Analyze and classify geometric shapes based on their properties.
M. Basic Fractions
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M.01. Recognize and identify halves, thirds, and quarters.
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M.02. Identify the fraction represented by a visual model.
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M.03. Select the shape that illustrates a given fraction.
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M.04. Identify fractions of a group.
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M.05. Model fractions of a whole through word problems.
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M.06. Solve word problems involving fractions of a whole.
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M.07. Solve word problems involving fractions of a group.
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M.08. Compare fractions using models.
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M.09. Order fractions with like denominators.
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M.10. Order fractions with like numerators.
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M.11. Apply fractions to real-world scenarios.
N. Patterns and Relationships
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N.01. Identify and extend repeating patterns.
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N.02. Identify and extend growing patterns.
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N.03. Find the next shape in a pattern.
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N.04. Complete a repeating pattern.
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N.05. Create a repeating pattern.
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N.06. Find the next row in a growing pattern.
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N.07. Explain the rule or relationship governing a given pattern.
O. Estimation and Rounding
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O.01. Estimate a number to the nearest ten.
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O.02. Round a number to the nearest ten.
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O.03. Round a number to the nearest ten or hundred.
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O.04. Round a number to the nearest ten, hundred or thousand
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O.05. Estimate sums.
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O.06. Apply estimation and rounding in practical situations.
P. Properties of Operations
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P.01. Identify related addition facts.
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P.02. Identify related subtraction facts.
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P.03. Recognize fact families.
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P.04. Learn addition, subtraction, multiplication and division terms.
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P.05. Explore and solve inequalities using addition and subtraction shortcuts.
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P.06. Apply the properties of operations to solve problems.
Q. Geometric Measurement
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Q.01. Define and calculate the perimeter of simple shapes.
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Q.02. Solve word problems involving perimeter.
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Q.03. Define and calculate the area of simple shapes.
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Q.04. Select figures with a given area.
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Q.05. Create figures with a given area.
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Q.06. Apply area and perimeter concepts to real-world contexts.
R. Logical Reasoning and Problem Solving
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R.01. Solve simple “guess the number” problems.
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R.02. Apply logical reasoning skills to solve mathematical problems.
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R.03. Develop strategies for problem-solving in various contexts.
S. Mixed Operations Practice
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S.01. Add and subtract numbers up to 20.
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S.02. Find different ways to make a number using addition and subtraction up to 20.
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S.03. Solve addition and subtraction word problems up to 20.
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S.04. Balance addition and subtraction equations up to 20.
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S.05. Write the addition or subtraction rule for an input/output table up to 20.
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S.06. Add and subtract numbers up to 100.
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S.07. Find different ways to make a number using addition and subtraction up to 100.
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S.08. Solve addition and subtraction word problems up to 100.
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S.09. Balance addition and subtraction equations up to 100.
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S.10. Write the addition or subtraction rule for an input/output table up to 100.
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S.11. Determine which sign (+ or -) makes the number sentence true? – up to 100.
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S.12. Write addition and subtraction sentences.
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S.13. Solve inequalities with addition and subtraction up to 100.
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S.14. Integrate and apply addition and subtraction skills in diverse problem-solving scenarios.
T. Introduction to Multiplication
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T.01. Recognize and write multiplication sentences.
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T.02. Recall multiplication facts for 2, 3 and 4.
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T.03. Recall multiplication facts up to 5.
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T.04. Recall multiplication facts for 2, 3, 4, 5 and 10.
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T.05. Recall multiplication facts for 6, 7, 8 and 9.
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T.06. Recall multiplication facts up to 10.
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T.07. Relate multiplication to repeated addition using concrete models.
U. Introduction to Division
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U.01. Understand divisors and quotients up to 5.
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U.02. Understand divisors and quotients up to 10.
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U.03. Relate division to equal sharing using concrete materials.
V. Exploring Probability
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V.01. Understand and use the terms more likely, less likely, and equally likely to describe the probability of events.
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V.02. Understand and use the terms certain, probable, unlikely and impossible to describe the probability of events.
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V.03. Conduct simple experiments and predict the likelihood of different outcomes.