The instructional materials reviewed for enVision Integrated Mathematics explicitly identify the plus standards and use the plus standards to coherently support the mathematics which all students should study in order to be college and career ready. All plus standards are taught at various places throughout the series.

The Teacher Edition explicitly identify the plus standards. At the beginning of each lesson is Mathematics Overview, which lists the Content and the Practice Standards that are addressed in that lesson. All plus standards are identified with the (+) symbol. The (+) standards are explicitly identified in the materials and coherently support the mathematics which all students should study in order to be college and career ready.

The (+) standards that are fully addressed include:

N-CN.3: In Mathematics II, Lesson 5-1, students complete operations with complex numbers, including using the conjugate to rationalize a complex denominator and finding solutions to quadratic equations with imaginary solutions.
N-CN.8: In Mathematics III, Lesson 2-6, students are provided one complex root and determine the equation with that root.
N-CN.9: In Mathematics II, Lesson 5-5, students prove the fundamental theorem of algebra for quadratic equations in Example 2 and use this example to show that two equations have two complex roots in Try it Problem 2. In Mathematics III, Lesson 2-6 defines the fundamental theorem of algebra and shows its application to quadratic equations in Example 4.
A-APR.5: In Mathematics II, Lesson 5-5, students explore the binomial theorem and its application to expanding binomials. In Example 4 and Try it!, Problem 4, students expand powers of binomial expressions using Pascal's Triangle. This lesson is repeated in Mathematics III, Lesson 2-3.
A-APR.7: In Mathematics III, Lesson 3-3, students multiply and divide rational expressions, and in Lesson 3-4, students add and subtract rational expressions.
A-REI.8,9: In Mathematics III, Lesson 1-6 (digital only), students write a system of equations as a matrix equation and solve the matrix equation. This lesson is supposed to be repeated in Mathematics III, Lessons 6-6 and 6-7, but those lessons do not exist.
F-IF.7d: In Mathematics III, Lessons 3-1 and 3-2, students graph a rational function, including identifying asymptotes, intercepts, and end behavior.
F-BF.1c: In Mathematics III, Lesson 4-5, students compose functions, write a rule for composite functions, and use a composite function model.
F-BF.4b,c: In Mathematics III, Lesson 4-6, students use compositions to verify inverse functions and tables and graphs to explore and find inverse functions. In Mathematics III, Lesson 5-5, students explore inverses of logarithmic functions.
F-BF.4d and F-TF.6: In Mathematics III, Lesson 7-1, students find the inverse of trigonometric functions by restricting the domain.
F-BF.5: In Mathematics III, Lesson 5-5, students explore how exponential and logarithmic functions have an inverse relationship. In Lesson 5-7, students use the inverse relationship between logarithms and exponents to solve problems.
F-TF.4: In Mathematics III, Lesson 7-4, Example 1 explains that f(x)=sin x is an odd function since f(-x) = -f(x).
F-TF.7,9: In Mathematics III, Lessons 7-1 and 7-4, students use inverse trigonometric functions to solve problems and evaluate them with technology. In Lesson 7-4, students prove the sum and difference formulas for sine and cosine and use them to solve problems.
G-SRT.9: In Mathematics III, Lesson 7-3, Example 4, the materials guide students to use sine to find the area of non-right triangles.
G-SRT.10,11: In Mathematics III, Lesson 7-2, Example 1 proves the law of sines, and Example 4 proves the law of cosines. Students use the laws to solve problems in practice problems.
G-C.4: In Mathematics III, Lesson 10-2, Example 5 shows the construction of a tangent line to a circle.
G-GMD.2: In Mathematics II, Lesson 13-2 uses Cavalieri's Principle with square and rectangular prisms and cylinders. Lesson 13-3 uses Cavalieri's Principle with cones and pyramids, and in Lesson 13-4, Example 1 connects the volume of a sphere to the volume of a cylinder and Cavalieri's Principle.
S-CP.8: In Mathematics II, Lesson 10-3, students apply the conditional Probability formula and use the conditional probability formula to make a decision.
S-CP.9: In Mathematics II, Lesson 10-4 addresses permutation and combinations.
S-MD.1: In Mathematics II, Lesson 10-5, Example 1 develops a theoretical probability distribution including assigning numerical values to events in a sample space and graphs the possibilities. Example 2 develops an experimental probability distribution, graphs the distribution, and interprets the results.
S-MD.5: In Mathematics II, Lesson 10-6, students evaluate and apply expected values using percent sold as probability, fine expected payoffs, and evaluate strategies for an auto insurance policy.
S-MD.6,7: In Mathematics II, Lesson 10-7, students use probability to make fair decisions. This lesson is duplicated in Mathematics III, Lesson 8-7.

The (+) standards that are partially addressed include:

F-TF.3: In Mathematics III, Lesson 6-1, students evaluate trigonometric ratios in special triangles using degrees but not radians. In Lesson 7-4, students again use special right triangles, but the connection between special right triangles and the unit circle is not made.
G-GPE.3: In Mathematics II, Lesson 11-3, students work with circles but not with ellipses. In Lesson 11-4, students work with parabolas.
S-MD.2-4: In Mathematics II Lesson 10-5, students calculate expected values but do not connect them to probability distributions.

The (+) standards that are not addressed include:

N-CN.4-6
N-VM.1-12

2019

enVision Integrated Mathematics

Publisher

Savvas Learning Company (f/k/a Pearson)

Subject

Math

Grades

HS

Report Release

{{report.published}}

08/13/2020

Review Tool Version

{{report.version}}

v1

Alignment

Usability

Additional Publication Details

Report Overview

Summary of Alignment & Usability: enVision Integrated Mathematics | Math

Math High School

Math High School

High School

Gateway 1

Gateway 2

Alignment

Gateway 3

Usability

Report for {{ report.grade.shortname }}

Alignment Summary

{{ report.grade.shortname }}

Gateway {{ gateway.number }}

Alignment

Gateway {{ report.gateways[2].number }}

Usability

Gateway {{ gateway.number }}

Overview of Gateway {{ gateway.number }}

{{ gateway.title }}

Gateway {{ gateway.number }}

Gateway {{ gateway.number }}

Criterion {{ gateway.number }}.{{ criterion.number }}: {{ criterion.name }}

Indicator {{ indicator.name | indicatorName }}

Gateway {{ gateway.number }}