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Blended Learning
Math
Kindergarten
Counting & Cardinality
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
First Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
Second Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
Third Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Numbers & Operations-Fractions
Measurement and Data
Geometry
Fourth Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & Operations—Fractions
Measurement and Data
Geometry
Fifth Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & Operations—Fractions
Measurement & Data
Geometry
Sixth Grade
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability
Seventh Grade
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability
Eighth Grade
The Number System
Expressions & Equations
Functions
Geometry
Statistics & Probability
HS Number & Quantity
The Real Number System
Quantities
The Complex Number System
Vector & Matrix Quantities
HS Algebra
Seeing Structure in Expressions
Arithmetic with Polynomials & Rational Expressions
Creating Equations*
Reasoning with Equations & Inequalities
HS Functions
Interpreting Functions
Building Functions
Linear, Quadratic, & Exponential Models*
Trigonometric Functions
HS Geometry
Congruence
Similarity, Right Triangles, & Trigonometry
Circles
Expressing Geometric Properties with Equations
Geometric Measurement & Dimension
Modeling with Geometry
HS Statistics & Probability
Interpreting Categorical & Quantitative Data
Making Inferences & Justifying Conclusions
Conditional Probability & the Rules of Probability
Using Probability to Make Decisions
Back
Vector & Matrix Quantities
HS Number & Quantity
Vector & Matrix Quantities
The Real Number System
Quantities
The Complex Number System
Vector & Matrix Quantities
Represent and model with vector quantities.
HSN-VM.A.1
Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
18 Lessons
HSN-VM.A.2
(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
3 Lessons
HSN-VM.A.3
(+) Solve problems involving velocity and other quantities that can be represented by vectors.
18 Lessons
Perform operations on vectors.
HSN-VM.B.4
(+) Add and subtract vectors.
15 Lessons
HSN-VM.B.5
(+) Multiply a vector by a scalar.
4 Lessons
Perform operations on matrices and use matrices in applications.
HSN-VM.C.6
(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.
13 Lessons
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.
8 Lessons
HSN-VM.C.8
(+) Add, subtract, and multiply matrices of appropriate dimensions.
17 Lessons
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.
6 Lessons
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.
7 Lessons
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.
3 Lessons
HSN-VM.C.12
(+) Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.
8 Lessons