Mathematics

  • Mathematics instruction in Cupertino Union School District is guided by the California Common Core State Standards for Mathematics.  This includes a combination of content standards as well as the standards for mathematical practices.  

    Below you will find the latest resources regarding CUSD Middle School Math Pathways and the content that is covered in every course.

Middle School Mathematics Course Progressions

  • Math Progressions

    Middle School Math Course Offerings for 2021-22

    6th grade Math Course

    All 6th grade students will be enrolled in the Math 6 Flex course

    • 6th Grade Common Core Math, with a portion of 7th grade standards and optional extension work provided for future advanced coursework in 7th grade
    • Students will have the opportunity to fill any gaps that may have occured during distance learning

    Textbooks: CPM Core Connections 1 (Selected lessons from Chapters 1- 9) & CPM Core Connections 2 (Selected lessons from Chapters 1 - 5)

    Topics Taught*: Patterns, Multiple Representations Portions Web (fraction, percent, decimal), Probability, Arithmetic Strategies, Area, Perimeter, Integers, Variables and Ratios, Multiplying Fractions and Area, Division, Building Expressions, Rates and Operations, Statistics and Multiplication Equations, Volume,  Percents, Fractions and Integer Addition, Problem Solving

    *ALL students will engage in personalized learning designed to fill gaps and/or extend learning beyond the course topics.

     

    7th grade Math Courses

    There are three courses offered for our incoming 7th-grade students:

    7th Grade Common Core Math (MA7CC), with optional extension work  

    Textbooks: CPM Core Connections 2 ( Chapters 1 - 9)

    Topics Taught*: Introduction to Probability, Fraction and Integer Addition, Arithmetic Properties, Proportions and Expression, Multiple Representations Web (graph, table, equation), Probability, Solving Word Problems, Solving Inequalities and Equations, Proportions, Percent, Statistics, Angle Relationships, Circles,  Volume 

    *ALL students will engage in personalized learning designed to fill gaps and/or extend learning beyond the course topics.

     

    7th Grade Common Core Math Plus (MATH7+), with a portion of 8th grade standards 

    Textbooks: CPM Core Connections 2 (Selected lessons from Chapters 6 - 9) & CPM Core Connections 3 (Selected lessons from Chapters 1 - 10)

    Topics Taught*: Problem Solving, Simplifying with Variables, Solving Inequalities and Equations, Graphs and Equations, Multiple Representations Web (graph, table, equation), Systems of Equations, Proportions and Percent, Statistics, Angle Relationships, Circles and Volume, Transformations and Similarity, Slope and Association, Exponents and Functions, Angles and the Pythagorean Theorem, Surface Area and Volume. 

    *ALL students will engage in personalized learning designed to fill gaps and/or extend learning beyond the course topics.

    Placement Criteria for Math 7+ 

     Math 7+ Criteria

    * Students with a failing grade (D or F) in Math 6 Flex will not be considered for Math 7+ placement.

     

    Algebra 1 Common Core Math (MA7AC), with a portion of 8th grade standards 

    Textbooks: CPM Core Connections 3 (Selected lessons from Chapters 7-10) & CPM Core Connections Algebra (Lessons from Chapters 1-11)

    Topics*: Slope and Association, Exponents and Functions, Angles and the Pythagorean Theorem, Surface Area and Volume, Functions, Linear Representations, Simplifying and Solving Equations, Systems of Equations, Sequences, Modeling Two-Variable Data, Exponential Functions, Quadratic Functions, Solving Quadratics and Inequalities, Solving Complex Equations, Functions and Data

    *ALL students will engage in personalized learning designed to fill gaps and/or extend learning beyond the course topics.

     Placement Criteria for Math 7/8 Algebra 

    Math 7/8 Criteria

    * Students with a failing grade (D or F) in Math 6 Flex will not be considered for Math 7/8 Algebra placement.

     

    8th grade Math Courses

    There are three courses offered for our incoming 8th-grade students:

    8th Grade Common Core Math (MA8CC)

    Textbook: CPM Core Connections 3 (Chapters 1-10)

    Topics: Problem Solving, Simplifying with Variables, Graphs and Equations, Multiple Representations, Systems of Equations, Transformations and Similarity, Slope and Association, Exponents and Functions, Angles and the Pythagorean Theorem, Surface Area and Volume

    ALL students will engage in personalized learning designed to fill gaps and extend learning beyond the course topics.

     

    Algebra 1 Common Core Math (MA8AC), with a portion of 8th grade standards 

    Textbooks: CPM Core Connections 3 (Selected lessons from Chapters 7 and 9) * & CPM Core Connections Algebra (Lessons from Chapters 1-11)

    Topics: Slope and Association, Angles and the Pythagorean Theorem (*CC3 topics phased out in 2021, will be covered in Math 7+), Functions, Linear Representations, Simplifying and Solving Equations, Systems of Equations, Sequences, Modeling Two-Variable Data, Exponential Functions, Quadratic Functions, Solving Quadratics and Inequalities, Solving Complex Equations, Functions and Data

    ALL students will engage in personalized learning designed to fill gaps and extend learning beyond the course topics.

    Placement Criteria for Math 8/Algebra

     Math 8/Algebra Criteria

    * Students with a failing grade (D or F) in Math 7+ or Math 7 will not be considered for Math 8/Alg placement.

     

    Geometry Common Core Math (MAAGC), with a portion of 8th grade standards 

     Textbook: CPM Core Connections Geometry (Chapters 1- 12)

    Prerequisite: Students must complete a year long Algebra course at a CUSD School or Similar LEA. The expectation is that Geometry students are proficient in Algebra skills as they will continue to be utilized; in particular, simplifying expressions, solving equations and systems of equations, writing linear equations, and factoring quadratics. 

    Topics: Shapes and Transformations, Angles and Measurements, Justification and Similarity, Trigonometry and Probability, Completing the Triangle, Congruent Triangles, Proof and Quadrilaterals, Polygons and Circles, Solids and Constructions, Circles and Conditional Probability, Solids and Circles, Conics and Closure

    Please note: Placement into Geometry requires the completion of Algebra at CUSD or a comparable Local Education Agency (LEA). 

    Placement Criteria for Geometry 

     Geometry Criteria

    * Students with a failing grade (D or F) in 7/8 Algebra will need to retake Algebra in 8th grade.

     


    CUSD 2021-22 Math Placement FAQs

    How is the preliminary math placement determined?

    The preliminary math placement is determined based on in class student performance and i-Ready cut marks (see above). 

     

    How can I find the i-Ready scale score for my child’s most recent diagnostic assessment?

    The scale score can be found in your child’s ‘My Path’ instructional platform. You can also access your child’s diagnostic report in Synergy ParentVue.

     

    Can I share my input for my child’s final math placement for the fall?

    Yes! Parents are valued partners in the math placement process. You will have an opportunity to share your input about your child’s math placement after the preliminary math placement is sent to you. We will consider your input prior to the final math placement.

     

    How much does i-Ready factor into the preliminary and final math placement?

    The i-Ready diagnostic is one of multiple measures that will be used to determine final math placement for the fall. It is a very useful tool to help determine if your child is ready for a more accelerated path. However, in-class performance is also taken into consideration. If a child receives a D or F in their current course, i-Ready scores will not be used to determine a more accelerated path. Conversely, if your child is doing well in their current math course, i-Ready scores will not be used to determine placement in a less accelerated course. It will be important to fill gaps in learning that are identified by the i-Ready diagnostic test, so that your child can thrive in mathematics, regardless of the course placement.

     

    Are there additional assessments available to determine final math placement?

    Yes, we are administering a standards based assessment for current 6th and 7th grade students.  These assessments are based on core readiness skills for courses outlined in the section above.

     

    • All 6th graders will take the 7th grade readiness assessment.  For students who interested in being considered for placement in Math 7-8 Algebra, they can opt in to take the Algebra readiness test. This test is ideal for students who have a passing grade in Math 6 Flex, strong performance on the 7th grade readiness test and i-Ready diagnostic.

     

    • In 7th grade, all 7+ students will take the Algebra Readiness test. For Math 7 students who interested in being considered for placement in Math 8 Algebra, they can opt in to take the Algebra readiness test. This test is ideal for students who have a strong performance in class and an interest in taking Algebra in 8th grade.  The students in 7-8Alg will take the Geometry readiness test. All assessments will factor into final math placement.

     

    How can my child accelerate their learning and improve their i-Ready score? 

    We encourage students to complete lessons in the MyPath Instructional Platform for at least 40 minutes a week to fill in gaps and/or to learn skills beyond their current math course if they desire a more accelerated pathway. 

     

    If you have further questions, please contact Marie Crawford at crawford_marie@cusdk8.org. Thank you.