Course Content
A. Sorting and Classifying
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A.06. Count the number of shapes in a Venn diagram.
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A.07. Apply sorting and classifying skills to solve real-world problems.
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A.01. Identify objects that are the same.
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A.02. Identify objects that are different.
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A.03. Distinguish between objects that are the same and different.
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A.04. Classify shapes by color.
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A.05. Sort shapes into a Venn diagram based on attributes.
B. Spatial Sense
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B.01. Understand the concepts of above and below.
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B.02. Understand the concepts of beside and next to.
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B.03. Identify left, middle, and right positions.
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B.04. Identify top, middle, and bottom positions.
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B.05. Determine location in a grid using coordinates.
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B.06. Use spatial language to describe the relative position of objects.
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B.07. Follow directions using spatial vocabulary.
C. Measurement
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C.01. Compare objects based on length (long and short).
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C.02. Compare objects based on height (tall and short).
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C.03. Order objects by length and height.
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C.04. Compare objects based on weight (light and heavy).
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C.05. Compare the capacity of containers (holds more or less).
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C.06. Compare size, weight, and capacity of various objects.
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C.07. Measure length using non-standard units (e.g., objects).
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C.08. Read a thermometer to determine temperature.
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C.09. Measure length using a centimeter ruler.
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C.10. Choose the appropriate metric unit of length for a given object.
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C.11. Solve word problems involving metric units of length.
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C.12. Choose the appropriate metric unit of mass for a given object.
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C.13. Apply measurement skills in practical situations.
D. Counting
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D.01. Review counting up to 10.
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D.02. Count to fill a ten frame.
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D.03. Review counting up to 20.
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D.04. Count on ten frames up to 40.
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D.05. Count objects up to 100.
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D.06. Count forward and backward within 100.
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D.07. Identify numbers on a number line.
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D.08. Count on a hundred chart.
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D.09. Identify and use the hundred chart.
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D.10. Determine if a number is even or odd.
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D.11. Identify numbers as even or odd.
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D.12. Identify even or odd numbers on number lines.
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D.13. Determine which even or odd number comes before or after a given number.
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D.14. Identify and use ordinal numbers.
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D.15. Write numbers in words.
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D.16. Recognize and understand Roman numerals I, V, and X.
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D.17. Count beyond 100 using place value understanding.
E. Counting by Twos, Fives, and Tens
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E.01. Count by tens up to 100.
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E.02. Count by twos, fives, and tens with visual aids.
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E.03. Count by twos, fives, and tens.
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E.04. Identify skip-counting patterns with 2, 5, and 10 using tables.
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E.05. Identify and continue sequences, counting up and down by 2, 5, and 10.
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E.06. Extend skip counting to solve real-world problems.
F. Comparing and Ordering Numbers
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F.01. Review comparing numbers.
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F.02. Compare numbers up to 10.
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F.03. Compare numbers up to 100.
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F.04. Put numbers up to 100 in order from least to greatest.
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F.05. Solve comparison word problems.
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F.06. Understand and use the symbols , and = to compare numbers.
G. Money
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G.01. Identify and state the value of different coins.
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G.02. Count collections of 10c coins.
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G.03. Count collections of various coins.
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G.04. Create equivalent groups of coins.
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G.05. Exchange coins for other coins of equal value.
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G.06. Solve word problems involving money.
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G.07. Compare different money amounts.
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G.08. Determine the least number of coins needed to make a given amount.
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G.09. Determine if you have enough money to make a purchase.
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G.10. Calculate the cost of multiple items.
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G.11. Make change from a purchase.
H. Time
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H.01. Match analogue clocks to corresponding times.
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H.02. Match digital clocks to corresponding times.
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H.03. Match analogue and digital clocks showing the same time.
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H.04. Read clocks and write times.
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H.05. Understand A.M. and P.M.
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H.06. Relate times to everyday events.
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H.07. Compare clocks to determine which shows an earlier or later time.
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H.08. Solve word problems involving time and clocks.
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H.09. Identify the seasons of the year.
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H.10. Name the days of the week.
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H.11. Name the months of the year.
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H.12. Read a calendar and identify specific dates.
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H.13. Calculate elapsed time in hours and half-hours.
I. Understand Addition
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I.01. Represent addition with pictures (sums up to 10).
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I.02. Write addition sentences (sums up to 10).
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I.03. Use number lines to represent addition sentences (sums up to 10).
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I.04. Identify related addition facts (sums up to 10).
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I.05. Model addition using manipulatives.
J. Addition up to 10
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J.01. Recall addition facts with sums up to 10.
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J.02. Determine ways to make a number up to 10 using addition sentences.
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J.03. Find missing addends to make a number using addition (sums up to 10).
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J.04. Complete addition sentences to make ten.
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J.05. Complete addition sentences (sums up to 10).
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J.06. Solve addition word problems (sums up to 10).
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J.07. Write addition sentences for word problems (sums up to 10).
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J.08. Explain the relationship between addition and combining groups.
K. Understand Subtraction
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K.01. Represent subtraction with pictures (numbers up to 10).
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K.02. Write subtraction sentences (numbers up to 10).
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K.03. Use number lines to represent subtraction sentences (numbers up to 10).
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K.04. Understand subtracting zero and all from a number.
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K.05. Identify related subtraction facts.
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K.06. Model subtraction using manipulatives.
L. Subtraction up to 10
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L.01. Recall subtraction facts (numbers up to 10).
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L.02. Determine ways to make a number up to 10 using subtraction sentences.
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L.03. Determine ways to subtract from a number up to 10 using subtraction sentences.
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L.04. Find missing numbers to make a number using subtraction (numbers up to 10).
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L.05. Complete subtraction sentences (numbers up to 10).
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L.06. Solve subtraction word problems (numbers up to 10).
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L.07. Write subtraction sentences for word problems (numbers up to 10).
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L.08. Explain the relationship between subtraction and taking away from a group.
M. Addition Strategies up to 20
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M.01. Use number lines to represent addition sentences (sums up to 20).
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M.02. Add doubles using models.
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M.03. Recall doubles addition facts.
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M.04. Add using doubles plus one.
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M.05. Add using doubles minus one.
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M.06. Add three numbers by using doubles.
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M.07. Add three numbers by making ten.
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M.08. Add three numbers using various strategies.
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M.09. Use mental math strategies to add within 20.
N. Addition up to 20
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N.12. Find missing addends to make a number using addition (sums up to 20).
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N.13. Determine if addition sentences with sums up to 20 are true or false.
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N.14. Solve word problems involving adding three numbers.
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N.15. Solve addition word problems (sums up to 20).
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N.16. Write addition sentences for word problems (sums up to 20).
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N.17. Explain the commutative and associative properties of addition.
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N.01. Practice adding 1 to numbers.
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N.02. Practice adding 2 to numbers.
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N.03. Practice adding 3 to numbers.
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N.04. Practice adding 4 to numbers.
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N.05. Practice adding 5 to numbers.
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N.06. Practice adding 6 to numbers.
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N.07. Practice adding 7 to numbers.
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N.08. Practice adding 8 to numbers.
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N.09. Practice adding 9 to numbers.
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N.10. Practice adding 0 to numbers.
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N.11. Recall addition facts with sums up to 20.
O. Subtraction Strategies up to 20
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O.01. Use number lines to represent subtraction sentences (numbers up to 20).
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O.02. Relate addition and subtraction sentences.
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O.03. Subtract doubles.
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O.04. Use mental math strategies to subtract within 20.
P. Subtraction up to 20
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P.01. Practice subtracting 1 from numbers.
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P.02. Practice subtracting 2 from numbers.
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P.03. Practice subtracting 3 from numbers.
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P.04. Practice subtracting 4 from numbers.
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P.05. Practice subtracting 5 from numbers.
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P.06. Practice subtracting 6 from numbers.
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P.07. Practice subtracting 7 from numbers.
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P.08. Practice subtracting 8 from numbers.
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P.09. Practice subtracting 9 from numbers.
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P.10. Practice subtracting 0 from numbers.
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P.11. Recall subtraction facts (numbers up to 20).
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P.12. Determine if subtraction sentences up to 20 are true or false.
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P.13. Solve subtraction word problems (numbers up to 20).
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P.14. Write subtraction sentences for word problems (numbers up to 20).
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P.15. Find missing numbers to make a number using subtraction (numbers up to 20).
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P.16. Explain the inverse relationship between addition and subtraction.
Q. Addition and Subtraction up to 20
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Q.01. Use addition and subtraction to determine ways to make a number.
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Q.02. Determine which sign (+ or -) makes a number sentence true.
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Q.03. Use fact families to understand the relationship between addition and subtraction.
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Q.04. Recall addition and subtraction facts (up to 10).
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Q.05. Recall addition and subtraction facts (up to 20).
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Q.06. Solve word problems involving both addition and subtraction.
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Q.07. Create word problems for given addition or subtraction equations.
R. Place Value and Regrouping
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R.01. Count tens and ones up to 30.
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R.02. Write numbers based on tens and ones (up to 30).
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R.03. Count tens and ones up to 99.
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R.04. Write numbers based on tens and ones (up to 100).
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R.05. Regroup tens and ones to represent a number in different ways.
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R.06. Regroup tens and ones when necessary.
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R.07. Represent numbers using base-ten blocks.
S. Addition and Subtraction: Multiples of Ten
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S.01. Determine ten more or ten less than a given number.
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S.02. Add two multiples of ten.
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S.03. Add a multiple of ten to a number.
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S.04. Subtract multiples of 10 from a number.
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S.05. Subtract a multiple of 10.
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S.06. Add and subtract tens using mental math.
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S.07. Use multiples of ten to estimate sums and differences.
T. Addition with Two-Digit Numbers
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T.01. Add a one-digit number to a two-digit number without regrouping.
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T.02. Add two-digit numbers without regrouping (sums to 100).
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T.03. Explain the importance of place value when adding two-digit numbers.
U. Subtraction with Two-Digit Numbers
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U.01. Subtract a one-digit number from a two-digit number without regrouping.
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U.02. Subtract two-digit numbers without regrouping.
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U.03. Explain the importance of place value when subtracting two-digit numbers.
V. Estimation and Rounding
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V.01. Estimate numbers to the nearest ten.
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V.02. Round numbers to the nearest ten.
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V.03. Estimate sums by rounding.
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V.04. Estimate differences by rounding.
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V.05. Understand the concept of approximation in real-world situations.
W. Patterns
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W.01. Introduction to patterns.
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W.02. Find the next shape in a pattern.
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W.03. Complete a pattern.
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W.04. Create a pattern.
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W.05. Identify growing patterns.
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W.06. Find the next shape in a growing pattern.
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W.07. Find the next row in a growing pattern.
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W.08. Extend patterns to predict future elements.
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W.09. Describe patterns using mathematical language.
X. Fractions
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X.01. Identify halves, thirds, and quarters.
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X.02. Recognize equal parts of a whole.
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X.03. Identify simple fractions represented by shapes.
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X.04. Choose the shape that matches a given simple fraction.
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X.05. Represent simple fractions as parts of a group.
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X.06. Compare the size of fractions with the same denominator.
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X.07. Divide objects into equal parts to represent fractions.
Y. Two-Dimensional Shapes
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Y.01. Name common two-dimensional shapes (e.g., circle, square, triangle, rectangle).
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Y.02. Select specific two-dimensional shapes from a group.
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Y.03. Count the sides and vertices (corners) of two-dimensional shapes.
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Y.04. Compare the number of sides and vertices of different two-dimensional shapes.
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Y.05. Identify two-dimensional shapes in real-world objects.
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Y.06. Compose new two-dimensional shapes by combining other shapes.
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Y.07. Distinguish between open and closed shapes.
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Y.08. Recognize flips, turns, and slides (translations, rotations, reflections) of shapes.
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Y.09. Identify lines of symmetry in two-dimensional shapes.
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Y.10. Measure the perimeter of two-dimensional shapes.
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Y.11. Draw two-dimensional shapes with specific attributes.
Z. Three-Dimensional Shapes
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Z.01. Distinguish between two-dimensional and three-dimensional shapes.
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Z.02. Name common three-dimensional shapes (e.g., cube, sphere, cone, cylinder).
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Z.03. Identify cubes and rectangular prisms.
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Z.04. Select specific three-dimensional shapes from a group.
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Z.05. Count the vertices, edges, and faces of three-dimensional shapes.
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Z.06. Compare the number of vertices, edges, and faces of different three-dimensional shapes.
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Z.07. Identify shapes traced from the faces of solids.
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Z.08. Identify the faces of three-dimensional shapes.
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Z.09. Identify three-dimensional shapes in the real world I.
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Z.10. Identify three-dimensional shapes in the real world II.
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Z.11. Build three-dimensional shapes using manipulatives.
AA. Data and Graphs
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AA.01. Determine which picture graph correctly represents given data.
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AA.02. Interpret picture graphs.
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AA.03. Determine which tally chart correctly represents given data.
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AA.04. Interpret tally charts.
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AA.05. Determine which table correctly represents given data.
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AA.06. Interpret data in tables.
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AA.07. Interpret bar graphs.
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AA.08. Determine which bar graph correctly represents given data.
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AA.09. Interpret line plots.
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AA.10. Create line plots from given data.
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AA.11. Collect and organize data using surveys.
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AA.12. Represent data using pictograms.
BB. Probability and Statistics
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BB.01. Determine if an event is more, less, or equally likely to occur.
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BB.02. Describe the likelihood of an event as certain, probable, unlikely, or impossible.
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BB.03. Conduct simple probability experiments and record the results.
CC. Multiplication
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CC.01. Recall multiplication facts for 2, 5, and 10.
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CC.02. Solve word problems involving multiplication with 2, 5, and 10.
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CC.03. Model multiplication using equal groups.
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CC.04. Relate multiplication to repeated addition.