| K | Understanding Addition | Draw simple representations to illustrate addition. |
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| K | Understanding Addition | Verbally express addition equations. |
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| K | Understanding Addition | Write numbers 0-10 for addition tasks. |
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| K | Understanding Addition | Recognize and use symbols '+' and '=' in addition. |
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| K | Understanding Addition | Solve basic addition problems within 10. |
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| K | Simple Word Problems | Using drawings to represent and solve addition problems. |
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| K | Simple Word Problems | Solving word problems that involve addition using objects or drawings. |
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| K | Simple Word Problems | Reviewing and confirming solutions to addition and subtraction problems. |
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| 1 | Addition Within 20 | Memorize and use addition facts where both addends are the same. |
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| 1 | Addition Within 20 | Use knowledge of addition facts to solve related subtraction problems. |
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| 1 | Subtraction Within 20 | Understand and use fact families to see the relationship between addition and subtraction. |
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| 1 | Subtraction Within 20 | Apply the concept that subtraction is the inverse of addition. |
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| 1 | Relate Addition And Subtraction | Solving simple addition and subtraction word problems. |
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| 1 | Relate Addition And Subtraction | Understanding related addition and subtraction facts. |
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| 1 | Relate Addition And Subtraction | Understanding that addition can undo subtraction and vice versa. |
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| 1 | Relate Addition And Subtraction | Achieving fluency with addition and subtraction facts within 20. |
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| 1 | Solve Word Problems | Identify situations or keywords that indicate addition in word problems. |
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| 1 | Solve Word Problems | Use a number line to visualize addition and subtraction. |
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| 1 | Solve Word Problems | Draw pictures to represent and solve addition and subtraction word problems. |
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| 1 | Solve Word Problems | Use physical objects to model addition and subtraction scenarios. |
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| 1 | Solve Word Problems | Solve simple addition and subtraction word problems using sums and differences up to 10. |
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| 2 | Addition And Subtraction Within 20 | Students should be able to use the 'making ten' strategy to simplify addition, such as breaking down 9 + 7 into (9 + 1) + 6. |
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| 2 | Addition And Subtraction Within 20 | Students should be able to use known addition and subtraction facts to derive relationships within 20, such as knowing 8 + 7 helps solve 15 - 8. |
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| 2 | Use Of Place Value To Add And Subtract | Understand and use regrouping in addition within 100. |
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| 3 | Understanding Multiplication Concepts | Understand multiplication as repeated addition (e.g., 3 + 3 + 3 is the same as 3 x 3). |
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| 3 | Understanding Multiplication Concepts | Write multiplication sentences based on repeated addition and equal groups (e.g., 4 x 2 = 8). |
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| 3 | Using Multiplication And Division Within 100 | Grasp the concept of multiplication as repeated addition. |
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| 3 | Understanding Area And Perimeter | Use addition to find the perimeter of a shape. |
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| 3 | Solving Measurement Problems | Solve word problems involving the addition and subtraction of lengths. |
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| 3 | Solving Measurement Problems | Solve word problems involving the addition and subtraction of time intervals. |
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| 4 | Place Value | Use place value knowledge to perform addition and subtraction of multi-digit numbers. |
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| 4 | Addition And Subtraction | Solve word problems that involve multi-digit addition and subtraction. |
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| 4 | Fraction Operations | Solving real-world problems involving the addition and subtraction of fractions with like denominators. |
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| 4 | Measurement And Conversion | Solve word problems involving lengths using addition or subtraction. |
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| 4 | Measurement And Conversion | Solve word problems involving weights using addition or subtraction. |
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| 4 | Measurement And Conversion | Solve word problems involving volumes using addition or subtraction. |
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| 4 | Measurement And Conversion | Solve word problems involving time intervals using addition and subtraction. |
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| 4 | Measurement And Conversion | Solve word problems involving money using addition and subtraction. |
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| 5 | Adding And Subtracting Fractions | Solve word problems involving addition and subtraction of fractions. |
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| 5 | Volume | Solve real-world and mathematical problems involving volume using the formula and addition. |
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| 5 | Volume | Understand and apply the relationship between volume and operations of multiplication and addition. |
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| 6 | Understanding Positive And Negative Numbers | Perform addition and subtraction of integers using a number line. |
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| 6 | Equations And Inequalities | Solve one-step equations using addition, subtraction, multiplication, or division. |
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| 6 | Equations And Inequalities | Solve one-step inequalities using addition, subtraction, multiplication, or division. |
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| 7 | Rational Numbers | Understand and perform addition with positive and negative integers. |
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| 7 | Rational Numbers | Understand and perform addition with fractions having like and unlike denominators. |
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| 7 | Rational Numbers | Understand and perform addition with positive and negative decimals. |
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| 7 | Inequalities | Solve inequalities using addition, subtraction, multiplication, or division. |
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| 7 | Inequalities | Understand and apply the addition property of inequality. |
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| 8 | Rational And Irrational Numbers | Perform operations of addition and subtraction on radical expressions. |
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| 8 | Exponents And Scientific Notation | Performing multiplication, division, addition, and subtraction with numbers in scientific notation. |
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