Addition

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Standards

• CCSS.MATH.CONTENT.HSN.VM.C.8 — (+) Add, subtract, and multiply matrices of appropriate dimensions.
• CCSS.MATH.CONTENT.7.NS.A.1 — Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
• CCSS.MATH.CONTENT.HSN.VM.C.10 — (+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
• CCSS.MATH.CONTENT.3.MD.D.8 — Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters
• CCSS.MATH.CONTENT.K.OA.A.4 — Fluently add and subtract within 5.
• CCSS.MATH.CONTENT.7.NS.A.1.C — Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
• CCSS.MATH.CONTENT.K.OA.A.2 — Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
• CCSS.MATH.CONTENT.K.OA.A.5 — Fluently add and subtract within 5.
• CCSS.MATH.CONTENT.HSN.CN.A.2 — Use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
• CCSS.MATH.CONTENT.3.MD.A.1 — Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
• CCSS.MATH.CONTENT.7.EE.A.1 — Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
• CCSS.MATH.CONTENT.HSA.REI.C.5 — Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
• CCSS.MATH.CONTENT.3.MD.C.7 — Relate area to the operations of multiplication and addition.
• CCSS.MATH.CONTENT.K.OA.A.3 — For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
• CCSS.MATH.CONTENT.2.MD.B.6 — Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.
• CCSS.MATH.CONTENT.HSN.VM.B.4.A — Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
• CCSS.MATH.CONTENT.2.OA.A.1 — Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• CCSS.MATH.CONTENT.HSA.APR.D.7 — (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
• CCSS.MATH.CONTENT.1.OA.C.6 — Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
• CCSS.MATH.CONTENT.HSN.CN.B.5 — (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.
• CCSS.MATH.CONTENT.K.OA.A.1 — Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
• CCSS.MATH.CONTENT.HSF.TF.C.9 — (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
• CCSS.MATH.CONTENT.HSA.APR.A.1 — Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
• CCSS.MATH.CONTENT.HSN.VM.B.4 — (+) Add and subtract vectors.
• CCSS.MATH.CONTENT.2.MD.B.5 — Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.
• CCSS.MATH.CONTENT.3.MD.A.2 — Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem