College and Career Readiness
Mathematics at Middle School
Poway Unified School District
2014
Purpose of this
Presentation
Share the PUSD math program for Grade 6 and 7
Develop an understanding of the expectations and options for
students in math as they become college and career ready
Answers questions about mathematics at Middle School in
Poway Unified School District
The California State Framework for
Mathematics 2013
“All students need a high quality mathematics program
designed to prepare them to graduate from high school
ready for college, career, and civic life.”
- Mathematics Framework, Introduction Page 1
Guiding Purposes in
Middle School Math
The development of strong, deep Algebraic
thinking is the most important prerequisite
for success in in higher level mathematical
reasoning and application in problem
solving in later life.
Mastery and application of the basic
components of math at middle school is
critical for use in later career and life.
Components of Math Instruction
Precision in Math
Procedures
Application in
Real World
Problems
Deep
Understanding
of Concepts
2 Sets of Standards
Standards of
Mathematical Practice
(What do we want students to do)…
Mathematical Content
Standards
(What do we want students to know)..
The California Standards of
Mathematical Practice
Overarching
Habits of
Mind
1. Make sense of
problems and
persevere in
solving them.
6. Attend to
precision
Reasoning and Explaining
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the
reasoning of others.
Modeling and Using Tools
4. Model with mathematics
5. Use appropriate tools strategically
Seeing Structure and Generalizing
7. Look and make use of structure
8. Look for and express regularity in repeated
reasoning
The California State Mathematical Content Standards
Domains
6
7
Ratios & Proportional
Relationships (RP)
8
Functions (F)
Expression and Equations (EE)
The Number System (NS)
Statistics and Probability (SP)
Geometry (G)
Source: California Mathematics Framework,
Connecting Ratio, rate
and % to multiplication
to solve problems
Completing
understanding of
division of fractions,
and extending negative
numbers
Critical
Content in
Grade 6
Writing, interpreting and
using equations and
expressions
Developing
understanding of
statistical thinking
Developing understanding of and
applying proportional relationships,
including percentages;
Developing understanding of
operations with rational numbers and
working with expressions and linear
equations
Critical Content in
Grade 7
•
Solving problems involving scale
drawings and informal geometric
constructions and working with twoand three-dimensional shapes to
solve problems
Drawing inferences about
populations based on samples
Students also work towards fluently
solving equations of the form
𝑝𝑥+ k =𝑟 and 𝑝(𝑥+𝑞)= r
College and Career Pathway for Majority of Students
5th
Math 6th
Math 7th
Math 8th
Optional Pathway - Compacted Classes
5th
6th +
½ of Grade 7 +
½ of Grade 7
Grade 8
High School
Course
All Pathways: Access to a – g Requirements
and Higher Level Math
Common Core Aligned Content Across All Middle School
5th
5th
6th
6/7
7th
7/8
8th
9th Grade
Course
9th
Grade
Course
11th
Grade
Course
Higher
Level
Course
End of Grade 10
Compacted
Class
Grade
Higher
Level
Course
(AP)
10th
Grade
11th
Grade
Course
Higher
Level
Course
Higher
Level
Course
Grade
Higher
Level
Course
(AP)
Higher
Level
Course
(AP)
Course
10th
Grade
Course
11th +
Higher
Course
11th +
Higher
Course
(AP)
District
Recommendation
Majority of Students
5th
Math 6th Math 7th Math 8th
Optional Pathway - Compacted Classes
5th
6th +
½ of
Grade 7
½ of
Grade 7 +
Grade 8
Winter or Spring MAP
Score of 252
High School
Course
Qualifying Assessment
Given for students at
248 - 251
Extending Our Strong
Instructional Model in
Mathematics
Application and Concept Development
through the Standards of Mathematical
Practices:
http://www.pd360.com/index.cfm?ContentId=6233
What questions do
you have on the
Mathematical
Standards of Practice
and/or Content…
Before we move on to a little class work…..?
How can you help your child in math?
Help your children practice their addition, subtraction,
multiplication and division facts.
Encourage your children not to give up while solving
problems, so they can build their “math stamina” and
develop their critical thinking skills. Don’t give them the
answers - ask them to think of different ways they can
solve problems.
Have your children illustrate the math they were thinking
in their head and discuss it with you out loud.
Have your children apply their math knowledge to a realworld scenario at home, such as doubling a recipe or
calculating the area of a room.