2022
CK-12 Interactive Middle School Math for CCSS

8th Grade - Gateway 3

Back to 8th Grade Overview
Cover for CK-12 Interactive Middle School Math for CCSS
Note on review tool versions

See the series overview page to confirm the review tool version used to create this report.

Loading navigation...

Gateway Ratings Summary

Usability

Gateway 3 - Partially Meets Expectations
74%
Criterion 3.1: Teacher Supports
7 / 9
Criterion 3.2: Assessment
9 / 10
Criterion 3.3: Student Supports
4 / 8
Criterion 3.4: Intentional Design
Narrative Only

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS partially meet expectations for Usability. The materials partially meet expectations for Teacher Supports (Criterion 1), meet expectations for Assessment (Criterion 2), and do not meet expectations for Student Supports (Criterion 3).

Criterion 3.1: Teacher Supports

7 / 9

The program includes opportunities for teachers to effectively plan and utilize materials with integrity and to further develop their own understanding of the content.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS partially meet expectations for Teacher Supports. The materials provide: teacher guidance with useful annotations and suggestions for enacting the student and ancillary materials; explanations of the instructional approaches of the program and identification of the research-based strategies; and a comprehensive list of supplies needed to support instructional activities. The materials contain adult-level explanations and examples of concepts beyond the current grade so that teachers can improve their own knowledge of the subject, but do not contain adult-level explanations and examples of the more complex grade-level concepts. The materials partially include standards and correlation information that explains the role of the standards in the context of the overall series.

Narrative Only
Narrative Only
Narrative Only

Indicator 3a

2 / 2

Materials provide teacher guidance with useful annotations and suggestions for how to enact the student materials and ancillary materials, with specific attention to engaging students in order to guide their mathematical development.

The materials reviewed  for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for providing teacher guidance with useful annotations and suggestions for how to enact the student materials and ancillary materials, with specific attention to engaging students in order to guide their mathematical development.

Materials provide comprehensive guidance to assist teacher delivery of student materials. The Teacher Edition of the materials contains Teacher Notes throughout to assist the teacher in presenting the student lessons. Examples include:

  • Important information about student learning at the beginning of lessons. For example, in Lesson 1.1, Introduction to Rigid Motions, the Introductory Teacher Notes state, “In this initial lesson, students should understand why we move stuff around in the first place. They should get introduced to the language of image, preimage, rigid motion, and the different types of motion that can be done to a figure. By this point, students should be familiar with the idea of a degree, angles, and length. They will use these to translate, rotate, and reflect images, as well as understand their definitions. (8.G.1)

  • Answers to all Inline Questions

  • Instructions for help with the Interactives. For example, in Lesson 4.2, Constant of Proportionality in Different Representations, Activity 1, it directs students, “Use the Interactive below to create a table and make a graph which expresses the proportional relationship between pounds and kilograms.” The Teacher Notes state, “Before allowing students to use the Interactive ask what the variables x and y should represent. The variable x should represent the weight in pounds, and the variable y should represent the weight in kilograms. We need to multiply the weight in pounds by 2.2 to get the weight in kilograms.” (8.EE.5)

  • Possible answers, further questions, and discussion ideas for the Discussion Questions are in the following examples. In Lesson 3.6, Linear Equations Written with Ratios, Activity 3, the Discussion Question Teacher Notes state, “Students should use what they know about ratios to answer this question. They should note that the equation they are working with is a ratio, which is used to compare values. In this case, they are comparing the number of red shoes sold out of the total to the percentage of red shoes sold. Since we are working with percentages the total for the right side of the equation (in the denominator) will be 100. So, the right side of the equation is the percentage of red sneakers. All in all, students should understand that they are comparing the number of red shoes sold to the percentage of red shoes sold.” (8.EE.7)

  • Specific learning standards and objectives for each lesson

  • Lesson-specific Teacher Notes

  • A scope-and-sequence at the end of the Teacher Edition

Materials include sufficient and useful annotations and suggestions that are presented within the context of the specific learning objectives. In the Teacher Edition at the beginning of each lesson, there is an overview of the lesson to assist the teacher in lesson-planning:

  • Common Core Standard - the focus and prerequisite standard(s) for each lesson is listed.

  • Standard for Mathematical Practice - the mathematical practice(s) for each lesson is listed as well as where in the lesson it is developed.

  • Previous Learning Objectives - a majority of the lessons list these objectives and the standard(s) or grade(s) the objective is connected.

  • Learning Objectives -goals for each lesson.

  • Agenda—there is an agenda listed for each lesson with the allotted times for the Warm-Up, the Activities, Review Questions, Related Modalities and Adaptive Practice.

  • Introductory Teacher Notes— located at the beginning of the lesson after the agenda, these notes describe what the students will be doing in the lesson. Some have helpful hints.

  • Interactives—Teacher Notes for the Interactive activities give the teacher direction on how the students are to use the Interactive and helpful hints. 

  • Discussion Questions— Teacher Notes for Discussion Questions  provide possible answers and/or possible questions to ask to further the discussion. 

  • Extension Activities—some of the lessons give extension activity ideas that can enhance the learning.

Indicator 3b

1 / 2

Materials contain adult-level explanations and examples of the more complex grade-level/course-level concepts and concepts beyond the current course so that teachers can improve their own knowledge of the subject.

The materials reviewed for CK-12 Middle School Interactive Math 8 for CCSS partially meet expectations for containing adult-level explanations, examples of the more complex grade-level concepts, and concepts beyond the current course so that teachers can improve their own knowledge of the subject. 

The Teacher Edition does not contain any adult-level explanations and examples of the more complex grade-level concepts so that teachers can improve their own knowledge of the subject.  In the Subjects Menu, Math Flexlets are available for 6th, 7th and 8th Grade Math Essentials. These are shortened versions of some key lessons intended for review.  For example, Interactive 6th Grade Math Essentials states, “This Flexlet is a great resource to prepare for or review Middle School Math 6. It is a collection of only the 'key' lessons in CK-12 Interactive Middle School Math 6. Additional detailed support for concepts introduced here is available in the full CK-12 FlexBook 2.0.” This resource does not offer adult-level explanations and examples of the more complex grade-level concepts since it addresses only key lessons and not more complex concepts.

Additionally, Study Guides can be found under the Explore menu, and are intended as a “Quick review with key information for each concept.” The math content covered in the Study Guides is beyond the current course and offers math high school courses Algebra and Geometry. These Study Guides can be used so that teachers can improve their own knowledge of the subject. However, not all Study Guides are connected to High School standards or standards at all.

Indicator 3c

1 / 2

Materials include standards correlation information that explains the role of the standards in the context of the overall series.

The materials reviewed for CK-12 Middle School Interactive Math 8 for CCSS partially meet expectations for including standards and correlation information that explains the role of the standards in the context of the overall series. Correlation information is present for the mathematics standards addressed throughout the grade level. However, there are few, if any, explanations of the role of the specific grade-level mathematics in the context of the series and no connection to future learning. 

Previous learning objectives are listed on most of the lessons. There are limited instances of objectives connecting to previous grade levels, and the remaining previous learning objectives listed are related to grade-level standards. Examples include:

  • Lesson 2.3, Solving For Missing Angles in Parallel Lines and Triangles, lists the following as Previous Learning Objectives: Solve problems using the triangle sum theorem (8th); Solve problems involving exterior angles (8th); Identify special angle pairs created when parallel lines are cut by a transversal (8th); Use informal arguments to establish facts about angles created when parallel lines are cut by a transversal (8.G.5); and Use properties of special angle pairs to identify equal angles when parallel lines are cut by a transversal (8th). The Introductory Teacher Notes state,  “Additionally students should use facts about angles that they learned about in Grade 7 such as vertical, complementary, and supplementary angles.” Pre-requisite Standards listed for the lesson are 7.G.5 and 7.EE.4a

  • Lesson 3.1, Writing Equations with Variables, lists the following as Previous Learning Objectives: Write equations to solve real-world problems by reasoning about the quantities (7.EE.4) and Interpret an equation and its value in a real-world context (7th). Pre-requisite standards listed for the lesson are 6.EE.2 and 7.EE.4a.

  • Lesson 10.2, Introduction to Square Roots and Cube Roots, lists the following as Previous Learning Objectives: Understand that exponents represent repeated multiplication (6th) and Understand and identify perfect squares and perfect cubes (8th). In the introductory Teacher Notes: “This lesson starts with the prerequisite knowledge from earlier grades in a discussion of how to find the area of a square and the volume of a cube. From there, students are asked to figure out a missing dimension if only volume or area is given. Only perfect squares and cubes are used in this lesson. Remind students to pay careful attention to units and notation. Students should notice that the square root of perfect squares are integers (the same applies to cubes).” Prerequisite Standard listed for the lesson is 6.EE.1

Future learning objectives are seldom present and almost always refer to later in the grade level and not to a concept in future grade levels or courses. For example, in Lesson 8.5, Volume of Pyramids (Deeper Learning); the materials state that it is Building Towards G-GMD.A.3. The Introductory Teacher Notes state, “This lesson is optional and goes beyond the standards for 8th grade. Students should understand that when a cone has a square for a base, it is called a square pyramid. In this lesson, students extend their learnings from lessons on cones to understand the volume formula for square pyramids. The different terminologies and measurements for pyramids are introduced and explained.”

Mathematics standards, practices and learning objectives are listed throughout the grade level at the beginning of each lesson. Examples include:

  • In Lesson 1.8, Translation on the Coordinate Plane, the Focus Standard is 8.G.3, the Prerequisite Standards are 7.G.2 and 7.G.5, and the standards for mathematical practice listed with the lesson are MP6 and MP8. The Learning Objectives are the following: Translate a point on the coordinate plane, describe the effect of translations on two-dimensional figures using coordinates, and predict the coordinates of an image after a transformation.

  • In Lesson 6.6, Representing and Analyzing Categorical Data, the Focus Standard is 8.SP.4, the Prerequisite Standard is 6.SP.4, and the standard for mathematical practice listed with the lesson is MP2. The Learning Objectives are the following: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies in a two-way table, use a two-way table of frequencies to make observations about a data set, construct a two-way table of frequencies to organize bivariate categorical data, and interpret two-way table of frequencies within the context of the data set.

  • In Lesson 9.3 ,The Power of 0 and Negative Exponents, the Focus Standard is 8.EE.1, the Prerequisite Standards are 5.NBT.2 and 6.EE.1, and the standards for mathematical practice listed with the lesson are MP7and MP8. The Learning Objectives are the following: Understand the zero exponent property, apply the zero exponent property to write equivalent expressions, understand the negative exponent property, and apply the negative exponent property to write equivalent expressions.

Indicator 3d

Narrative Only

Materials provide strategies for informing all stakeholders, including students, parents, or caregivers about the program and suggestions for how they can help support student progress and achievement.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS do not provide strategies for informing all stakeholders, including students, parents, or caregivers, about the program and suggestions for how they can help support students’ progress and achievement. Although the materials support teachers with planning, instructions, and analysis of student progress, there are no specific resources for parents or caregivers. While students are able to access their reports, there are no strategies provided to assist their progress or achievement. There are no explanations for parents or caretakers on the place to create an account to help support in-class learning or home instruction.

Indicator 3e

2 / 2

Materials provide explanations of the instructional approaches of the program and identification of the research-based strategies.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for providing explanations of the instructional approaches of the program and identification of the research-based strategies. 

Instructional approaches of the program and identification of the research-based strategies can be found on the homepage, the citations for this research can be found under the “Resources” tab on the homepage. The materials state the following, “The CK-12 Interactive Middle School Math series promotes exploratory learning (Stein 2010). Each lesson contains interactive applets which actively engage students in the learning process and allow them to explore concepts in an open-ended environment (Cocea & Magoulas, 2015; Hoyles, 2018; NCTM, 20115). Inline question sets Socratically guide students to discover connections present in the interactive applets, and a list of Works Cited includes:

  • Stein, R. G. (2010). Math for Teachers: An Exploratory Approach. Kendall Hunt

    Publishing Company.

  • Cocea, M., & Magoulas, G. D. (2015). Participatory learner modeling design: a

    methodology for iterative learner models development. Information Sciences, 321,

    48-70.

  • Schunk, D. H. (2012). Learning Theories: An Educational Perspective. Pearson.

  • Hoyles, C. (2018). Transforming the mathematical practices of learners and teachers

    through digital technology. Research in Mathematics Education.

  • Hoyles, C., & Lagrange, J. B. (Eds.). (2010). Mathematics education and technology:

    Rethinking the terrain. New York: Springer.

  • National Council of Teachers of Mathematics. (2014). Access and equity in mathematics

    education: A position of the national council of teachers of mathematics. National

    Council of Teachers of Mathematics.

  • National Council of Teachers of Mathematics. (2015). Strategic use of technology in

    teaching and learning mathematics: A position of the national council of teachers of

    mathematics. National Council of Teachers of Mathematics.

  • Wolf, D., Lindeman, P., Wolf, T., & Dunnerstick, R. (2011). Integrate Technology with

    Student Success. Mathematics Teaching in the Middle School, 16(9), 556-560.”

Indicator 3f

1 / 1

Materials provide a comprehensive list of supplies needed to support instructional activities.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for providing a comprehensive list of supplies needed to support instructional activities.

The Interactives in the lessons are designed to replace any extra materials. There is a comprehensive list of supplies needed for the optional activities included at the beginning of the Teacher Edition under the Resources tab. The materials listed are provided for the lessons that need extra supplies for optional activities  (Note: the quantity listed is per student unless otherwise noted.) Examples include:

  • In Lesson 1.1, Introduction to Rigid Motion, Activity 1, Transportation Translations: Sheet of blank paper and Pencil, or other mediums for drawing.

  • In Lesson 6.4, Fitting a Line to Data, Activity 2, Baseball Analytics Revisited: Printed out graph from activity 3, Pencil, and Ruler.

Indicator 3g

Narrative Only

This is not an assessed indicator in Mathematics.

Indicator 3h

Narrative Only

This is not an assessed indicator in Mathematics.

Criterion 3.2: Assessment

9 / 10

The program includes a system of assessments identifying how materials provide tools, guidance, and support for teachers to collect, interpret, and act on data about student progress towards the standards.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for Assessment. The materials include an assessment system that provides multiple opportunities throughout the grade to determine students' learning and sufficient guidance to teachers for interpreting student performance and suggestions for follow-up, and the materials provide assessments that include opportunities for students to demonstrate the full intent of grade-level standards and practices.  The materials partially include assessment information in the materials to indicate which standards are assessed.

Narrative Only

Indicator 3i

1 / 2

Assessment information is included in the materials to indicate which standards are assessed.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS partially meet expectations for having assessment information included in the materials to indicate which standards are assessed. The materials sometimes identify the standards and mathematical practices addressed by formal assessments.

Formative assessments, including Inline Questions, Review Questions/Quiz, and Adaptive Practice are located in each lesson, however the materials only identify the standards and practices assessed for some of the formal assessments. In the Teacher Edition, at the beginning of each lesson, standards and mathematical practices are clearly listed, but specific standards and practices are not listed for each question on the Inline Questions, Adaptive Practice and Review Questions/Quizzes. The end of chapter assessments identify the standards for each question, but do not identify the mathematical practices. Examples include, but are not limited to:

  • In Lesson 7.8, Linear Functions, Review Question 1,“The cost of producing a smartphone is $42.73 per phone.  Additionally, the smartphone company pays a flat rate of $175 to ship each store’s order.  Write an equation to model the costs for the smartphone company, y, to produce x number of smartphones and ship them to one store.”  

  • Chapter 2, Similarity, Question 2: “(8.G.A.4) Determine whether or not the following parallelograms are similar. If they are similar, explain how you know by describing the transformations. If not, explain why.”

  • Chapter 7, Functions, Question 4: “As your family is leaving the zoo, you pass by a gift shop. The shop is having a promotion on saltwater taffy! If you donate a certain amount of money to the zoo, you can get a discount on the price per pound of taffy. a. (8.F.A.4) Write equations to represent the total cost (y) as a function of pounds of taffy (x) with and without the promotion:”

Indicator 3j

4 / 4

Assessment system provides multiple opportunities throughout the grade, course, and/or series to determine students' learning and sufficient guidance to teachers for interpreting student performance and suggestions for follow-up.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for including an assessment system that provides multiple opportunities throughout the grade to determine students' learning and sufficient guidance to teachers for interpreting student performance and suggestions for follow-up.

The assessment system provides multiple opportunities to determine students' learning and sufficient guidance to teachers for interpreting student performance and most of the assessments provide sufficient suggestions for following-up with students. Examples include:

  • Every lesson has Adaptive Practice Questions which generate a report with the number correct, difficulty of the questions, time spent and mastery level.

  • Answer keys are provided for all Inline Questions, Discussion Questions, and End of Chapter assessments. 

  • Each of the End of Chapter Assessments contains a rubric to assist the teacher in scoring student work. Each problem is given a 1-5 score and is correlated with the CCSS. Rubrics are provided for End of Chapter Assessments only. Scoring rubrics provide information on student performance but do not include suggestions for the teacher to follow up. 

  • Statistics are given through reports to the teacher on each assessment component students take. The Skill Meter gauges student understanding and skill based question-by-question and is color-coded so teachers can quickly ascertain student understanding:

    • Beginning - new to concept (red)

    • Exploring - starting to understand (orange) 

    • Developing - demonstrating familiarity (yellow)

    • Proficient - understands core concept (light green)

    • Mastery - deep, demonstrated understanding (dark green)

  • The Class Insights function uses the Skill Meter to give information on individual students and the entire class, by placing students on a quadrant analysis graph based on their skill level and engagement. The Class Insights function also has the Teacher Assistant which, “uncovers your students’ learning gaps and misconceptions, giving you (the Teacher) personalized insights on where you (the Teacher) can intervene effectively.” The Teacher Assistant provides suggestions for following-up with students through the “Insights and Recommendations” section. Examples of suggestions include:

    • Recommending specific “PLIX” activities to help students with low skill levels improve their skill levels.

    • Noting which students are doing exceptionally well on the current concept, and suggesting new concepts to keep those students challenged.

    • Information about the top question(s) students answered incorrectly, with the recommendations for students to review the following question(s) and the related paragraphs.

    • Information on which students are not reaching the goal of 10 correct answers on the Adaptive Practices, and recommending to remind students to complete that goal.

Indicator 3k

4 / 4

Assessments include opportunities for students to demonstrate the full intent of grade-level/course-level standards and practices across the series.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS meet expectations for providing assessments that include opportunities for students to demonstrate the full intent of grade-level standards and practices across the series. 

The assessments regularly provide opportunities for students to demonstrate the full intent of grade-level standards and practices through a wide variety of assessment types, such as multiple choice, drag and drop, matching, short answer, true/false, computational response, and discussion response. Students use different types of modalities to demonstrate their understanding in assessment, including short answer explanations and multi-layered questions. The Inline Questions and Review/Quiz Questions are connected to standards and practices. The End of Chapter assessments have the content standards identified on the answer keys.

Indicator 3l

Narrative Only

Assessments offer accommodations that allow students to demonstrate their knowledge and skills without changing the content of the assessment.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS partially provide assessments which offer accommodations that allow students to demonstrate their knowledge and skills without changing the content of the assessment.

The materials have accommodations that are built into every Review Questions/Quiz. Teachers can set the number of attempts allowed, adjust the time limit, allow students to pause and resume, show hints, show solutions, or shuffle the questions. Teachers are able to alter these quizzes by choosing from item sets or adding their own questions. As a result, these items have the potential to alter grade-level expectations due to the fact that these are teacher-created itemsA Word version of the End of Chapter Assessments is included, making these assessments customizable. Both assessments are only available in English.

Criterion 3.3: Student Supports

4 / 8

The program includes materials designed for each student’s regular and active participation in grade-level/grade-band/series content.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS do not meet expectations for Student Supports. The materials provide manipulatives, both virtual and physical, that are accurate representations of the mathematical objects they represent and, when appropriate, are connected to written methods. The materials partially provide strategies and supports for students who read, write, and/or speak in a language other than English to regularly participate in learning grade-level mathematics, and partially provide extensions and/or opportunities for students to engage with grade-level mathematics at higher levels of complexity. The materials do not provide strategies and supports for students in special populations to support their regular and active participation in learning grade-level mathematics.

Narrative Only
Narrative Only
Narrative Only
Narrative Only
Narrative Only
Narrative Only

Indicator 3m

0 / 2

Materials provide strategies and supports for students in special populations to support their regular and active participation in learning grade-level/series mathematics.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS do not meet expectations for providing strategies and supports for students in special populations to support their regular and active participation in learning grade-level mathematics. The materials have some general strategies, but they do not explicitly provide specific strategies and supports for differentiating instruction to meet the needs of students in special populations or support their regular and active participation in the learning of grade-level mathematics.

Indicator 3n

1 / 2

Materials provide extensions and/or opportunities for students to engage with grade-level/course-level mathematics at higher levels of complexity.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS partially meet expectations for providing extensions and/or opportunities for students to engage with grade-level mathematics at higher levels of complexity. 

The program provides occasional opportunities for students to engage with grade-level mathematics at higher levels of complexity through Adaptive Practice and Review Questions.  However, these are additional to the lesson so not all advanced students would be provided access to them. The advanced students would be doing more assignments than their classmates. Examples include, but are not limited to:

  • In Lesson 7.2, Domain and Range,  Review Questions, the Teacher Notes state, “To customize the questions click here:” Under Assign to Class, Customize, Add question set, various “hard” questions may be assigned. For example, in “Set 1, Question 52, Identify the domain and range of [(-1,2),(-6,3),(10,7),(8,11)].” (8.F.1)

  • In Lesson 10.5,  Approximating Irrational Numbers, Review Questions, the Teacher Notes state, “To customize the questions click here:” Under Assign to Class, Customize, Add question set, various “hard” questions may be assigned. For example, in “Set 1 Question 14 Evaluate the square root \sqrt{100} short-answer  “ (8.NS.2)

Indicator 3o

Narrative Only

Materials provide varied approaches to learning tasks over time and variety in how students are expected to demonstrate their learning with opportunities for students to monitor their learning.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS provide varied approaches to learning tasks over time and variety in how students are expected to demonstrate their learning with opportunities for students to monitor their learning.

Students can demonstrate learning through Inline Questions, Review Questions, and Adaptive Practice. The Interactives offer additional opportunities for students to demonstrate their learning. Some of the Discussion Questions offer multiple solution paths, and the Inline and Review Questions give immediate feedback to the student. Student reports provide levels of mastery: beginning, exploring, developing, proficient or mastery. These reports give the students an idea of how well they are doing on a specific concept.

Throughout the materials students work through Interactives that have a variety of outcomes. Students also answer Inline and Review Questions and have discussions that build off of the Interactives. For example, in Lesson 7.6, Interpreting Graphs of Functions, Activity 3, the Interactive directions state, “Look at the user activity function graph below. Independently, construct a story of an app which would have this user activity be sure to explain any increases, decreases, and constants.” The Teacher Notes state, “This activity is designed to be completed independently before being discussed as a group.” (8.F.5)

Students have opportunities to share and compare their thinking with others. In many lessons, students discuss their findings during the Interactives and following Inline questions. Sometimes students are asked to compare their thinking with others. Examples include:

  • In Lesson 2.7, Fundamental Theorem of Similarity, Warm-up Activity, the Discussion Question asks, “How could you measure the height of a tree? What tools might be helpful?” The  Teacher Notes suggest that teachers, “allow students to discuss and offer solutions to the problem. There are many possible answers. Feel free to ask for clarification on a method presented by the student or ask if there is a situation where the method would not work. The students might recall using similar triangles created by the shadow of the sun. If this question is asked, ask students what would happen if the shadow couldn’t be measured because the sun wasn’t out or the tree was in a forest. Encourage out of the box solutions but discuss the challenges that they might present.” (8.G.4)

  • In Lesson 4.2, Constant of Proportionality in Different Representations, Activity 3, the Discussion Question, Teacher Notes suggest that teachers, “allow the students to discuss the following questions in small groups to help form arguments before transitioning to a full class discussion, allowing them to analyze the arguments of their classmates.” The Discussion Questions that follow are as follows: “1. What should represent x and y in the equation? How do you know? 2. Based on the table and graph, what is the relationship between time and final velocity? How did you get it and what does it mean? 3. What is the constant of proportionality and how did you determine it? 4. What is the equation for this relationship? “ (8.G.4)

Students are able to reflect on their work and understand where they are in their learning through different reports, like the Heat Map. The reports that the student receives on the Adaptive Practice give feedback based on the difficulty level of each question answered, but there is no self-reflection.

Indicator 3p

Narrative Only

Materials provide opportunities for teachers to use a variety of grouping strategies.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS partially provide opportunities for teachers to use a variety of grouping strategies. The program does include materials designed for each child’s regular and active participation in grade-level content. However, the majority of the lessons are based on individual instruction. Lesson instructions in the Teacher Notes provide teachers with suggestions for grouping strategies that include small-group options, working with partners and individual instruction. However, there is no guidance provided to the teacher on how to assign partners or how to form the group based on the different needs of the students. Examples include, but are not limited to:

  • In Lesson 1.6, Using Equations to Represent Proportional Relationships Double Number Lines & Equivalent Ratios, Activity 3, Discussion Question gives a recommendation in the Teacher Edition.  It states, “Group students in pairs.” (8.F.4) There is no information provided on how to group dependent on the needs of the student.

  • In Lesson 4.2, Constant of Proportionality in Different Representations, Activity 2, Proportional Relationships in Medicine Continued, the Teacher Notes just prior to the Discussion Question state, “Allow the students to discuss the following questions in small groups to help form arguments before transitioning to a full class discussion, allowing them to analyze the arguments of their classmates.” (8.EE.5) There is no discussion on how to form the group dependent on the needs of the student.

Indicator 3q

1 / 2

Materials provide strategies and supports for students who read, write, and/or speak in a language other than English to regularly participate in learning grade-level mathematics.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS partially meet expectations for providing strategies and supports for students who read, write, and/or speak in a language other than English to regularly participate in learning grade-level mathematics.

The materials provide a means to change the language of the main text to any of the supported languages, which includes the directions for the Interactives. However, the text within the Interactive will not change, and the video content will still be in English. Additionally, the Adaptive Practice, which is expected to be homework, is available in two languages: English and Spanish. The materials do not provide any other strategies or support for students who read, write, and/or speak in a language other than English beyond changing the language of the text.

Indicator 3r

Narrative Only

Materials provide a balance of images or information about people, representing various demographic and physical characteristics.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS partially provide a balance of images or information about people, representing various demographic and physical characteristics.

The materials do not contain many images depicting people. The Interactives have images of things or shapes.  Students with disabilities are not included. Since this is a digital series, the names in the text can be changed to make it more relatable to students. Many of the questions do not use names, just non-specific gender terms such as the following: you, the student, the class, ... etc.  Although athletes in pictures are generally male, an equal number of male and female names are used. However, only a few names appear to represent different races. Examples include:

  • In Lesson 3.3, Linear Equations with Rational Numbers, Warm-up, it states,  “Jenny Chang is the owner of a small shop, Empire Fudge, that sells one product: fudge.” (8.EE.7)

  • In Lesson 5.6, Writing and Solving Systems of Linear Equations, Activity 2, the directions state, “Cecelia is planning a community garden.” Then Activity 3 states, “Brandon is taking a trip from Boston to San Diego.” (8.EE.8)

  • In Lesson 9.6, Comparing Numbers in Scientific Notation & Choosing Reasonable Units, Activity 2, it begins, “Mikaela is a doctor who was checking the red blood cells of a patient.” (8.EE.4)

Indicator 3s

Narrative Only

Materials provide guidance to encourage teachers to draw upon student home language to facilitate learning.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS do not provide guidance to encourage teachers to draw upon student home language to facilitate learning. There is no evidence of promoting home language knowledge as an asset to engage students or purposefully utilizing student home language in context with the materials.

Indicator 3t

Narrative Only

Materials provide guidance to encourage teachers to draw upon student cultural and social backgrounds to facilitate learning.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS do not provide guidance to encourage teachers to draw upon student cultural and social backgrounds to facilitate learning. While there is some culture implied by names or problem contexts, specific guidance on how to connect students' cultural and/or social background to facilitate learning or motivate students is not found.

Indicator 3u

Narrative Only

Materials provide supports for different reading levels to ensure accessibility for students.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS do not provide supports for different reading levels to ensure accessibility for students. While there are some videos and other tools available under the Related Content section, they do not identify strategies to engage students of different reading levels to ensure accessibility. Some of the Teacher Notes suggest that teachers encourage the students to use the proper vocabulary, but the materials provide no specific strategies for supporting students at different reading levels or grouping students by reading levels. 

Indicator 3v

2 / 2

Manipulatives, both virtual and physical, are accurate representations of the mathematical objects they represent and, when appropriate, are connected to written methods.

The materials reviewed for CK-12  Interactive Middle School Math 8 for CCSS meet expectations for providing manipulatives, both virtual and physical. They are accurate representations of the mathematical objects they represent and, when appropriate, are connected to written methods. The materials provide suggestions and/or links for virtual and physical manipulatives that support the understanding of grade-level concepts. Manipulatives are accurate representations of the mathematical objects they represent and are sometimes connected to written methods. Physical manipulatives, while not included with the series, are listed in the beginning of the Teacher Edition under the Resource tab. The use of physical manipulatives is minimal.

Each lesson contains several Interactives where students use virtual manipulatives to gain an understanding of the math standard they are learning. They include a variety of manipulatives such as: graphs, x-y tables, number lines, coordinate planes, GeoGebra Interactives, word matching problems, tape diagrams, dice and playing cards. Examples include:

  • In Lesson 1.3, Properties of Reflections, Activity 2, students are verifying and understanding corresponding angles. It states, “Use the Interactive below to examine whether the corresponding side lengths and angles of both shapes are equal. Then answer the questions following the Interactive.” (8.G.1)

  • In Lesson 8.3, Volume of Cones, Activity 1, students want to know how many cubes fit inside a cone.  Using an Interactive,  students explore the relationship between the volume of a cone and the volume of a cylinder. (8.G.9)

Criterion 3.4: Intentional Design

Narrative Only

The program includes a visual design that is engaging and references or integrates digital technology, when applicable, with guidance for teachers.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS integrate technology such as interactive tools, virtual manipulatives/objects, and/or dynamic mathematics software in ways that engage students in the grade-level standards, and the materials include or reference digital technology that provides opportunities for teachers and/or students to collaborate with each other. The materials have a visual design that supports students in engaging thoughtfully with the subject, and is neither distracting nor chaotic, and the materials provide teacher guidance for the use of embedded technology to support and enhance student learning.

Narrative Only
Narrative Only
Narrative Only
Narrative Only

Indicator 3w

Narrative Only

Materials integrate technology such as interactive tools, virtual manipulatives/objects, and/or dynamic mathematics software in ways that engage students in the grade-level/series standards, when applicable.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS integrate technology such as interactive tools, virtual manipulatives/objects, and/or dynamic mathematics software in ways that engage students in the grade-level standards, when applicable.

The materials integrate technology in ways that engage students in the grade-level standards and are aligned to the standards and the Mathematical Practices. Third party programs such as Geogebra are used to assist with simulations and the data collection tool. Insight is available for teachers to use to gauge engagement and performance. Each lesson includes Interactives that relate to the concept and engage students in the process of learning. However the Interactives cannot be customized.

Indicator 3x

Narrative Only

Materials include or reference digital technology that provides opportunities for teachers and/or students to collaborate with each other, when applicable.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS include or reference digital technology that provides opportunities for teachers and/or students to collaborate with each other, when applicable. 

Students can collaborate with other students through the CK-12 Cafe, Math, and PLIX Corner. The Math Corner is for students to ask questions or help other students. The PLIX Corner is where students can discover and discuss the interactives found throughout CK-12 concepts. Teachers are also able to collaborate with students through the Math and PLIX Corner. 

Teachers can collaborate with other teachers through the CK-12 Cafe, Jumpstart for Educators, which allows all teachers with access to the materials, to “ask questions, collaborate, and explore CK-12 in this forum for educators.”

Indicator 3y

Narrative Only

The visual design (whether in print or digital) supports students in engaging thoughtfully with the subject, and is neither distracting nor chaotic.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS have a visual design that supports students in engaging thoughtfully with the subject and is neither distracting nor chaotic. 

The lessons follow a consistent format and the print, as well as any graphics, are easy to follow and do not detract from the math. Each lesson starts with a Warm Up and is followed by activities that contain Interactives with Inline Questions and sometimes Discussion Questions. At the end of each lesson is a set of Review Questions for students. This format is consistent in each chapter throughout all grade levels. The graphics are visually appealing and support student understanding of the concepts. The font size, directions and text are appropriate for the grade level.  The format is engaging, and the Interactives have clear directions that make them easy to use.

Indicator 3z

Narrative Only

Materials provide teacher guidance for the use of embedded technology to support and enhance student learning, when applicable.

The materials reviewed for CK-12 Interactive Middle School Math 8 for CCSS provide teacher guidance for the use of embedded technology to support and enhance student learning, when applicable.

All lessons include embedded technology in the form of Interactives. The Teacher Notes give guidance on how to use the technology to enhance student learning. Inline and Discussion Questions often follow these Interactives. Examples include:

  • In Lesson 1.8, Translations on the Coordinate Plane, Activity 1, the Teacher Notes on the Interactive state, “Before the students attempt the Inline Questions, ask the students to translate the point 9 times. For three of the translations the student should only translate the point vertically, for another three of the translations, the student should only translate the point horizontally, and the student should translate the point both vertically and horizontally for the final three translations. The students should write down the location of the points before and after translation. This activity is designed to encourage repeated reasoning to assist the students in looking for the patterns which define the rules for translating points on a coordinate plane.” (8.G.3)

  • In Lesson 2.7, Fundamental Theorem of Similarity, Activity 4, the Teacher Notes on the Interactive state, “By transforming one shape into another, the students are able to prove that the shapes are congruent. Allow the students to compare answers and their experiences for Activity 4. The students should look for patterns and strategies. Point out that equivalence does not equal efficiency. Getting the same answer is good but a great mathematician seeks out the most efficient way to solve the problem. The students should come up with a general strategy to solve the problem in as few moves as possible.” (8.G.4)