Multiply

Standards

• CCSS.MATH.CONTENT.HSN.VM.C.8 — (+) Add, subtract, and multiply matrices of appropriate dimensions.
• 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.HSN.VM.C.9 — (+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
• CCSS.MATH.CONTENT.HSN.VM.B.5.B — Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ? 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).
• CCSS.MATH.CONTENT.4.OA.A.2 — Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
• 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.OA.A.4 — Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• CCSS.MATH.CONTENT.HSN.VM.C.11 — (+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
• CCSS.MATH.CONTENT.3.OA.B.5 — Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
• 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.HSN.VM.C.7 — (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.
• CCSS.MATH.CONTENT.6.RP.A.3.D — Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
• CCSS.MATH.CONTENT.HSN.VM.B.5.A — Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).
• 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.HSN.VM.B.5 — (+) Multiply a vector by a scalar.
• CCSS.MATH.CONTENT.7.NS.A.2.C — Apply properties of operations as strategies to multiply and divide rational numbers.
• CCSS.MATH.CONTENT.6.NS.A.1 — Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
• 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.4.OA.A.1 — Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
• CCSS.MATH.CONTENT.3.OA.A.1 — Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
• 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.