Download Common Core State Standards for Mathematics

Common Core State Standards for
Mathematics
Grade-Level Standards
 K-8 grade-by-grade standards organized by domain
 9-12 high school standards organized by conceptual
categories
Standards for Mathematical Practice
 Describe mathematical “habits of mind”
 Standards for mathematical proficiency: reasoning,
problem solving, modeling, decision making, and
engagement
 Connect with content standards in each grade
1
Format of K-8
Mathematics Standards
Domains: overarching ideas that connect topics across the grades
Clusters: illustrate progression of increasing complexity from grade to grade
Standards: define what students should know and be able to do at each grade level
2
CCSS Domain Progression
K
1
2
3
4
5
6
7
8
HS
Counting &
Cardinality
Number and Operations in Base Ten
Number and Operations –
Fractions
Ratios and Proportional
Relationships
The Number System
Expressions and Equations
Number &
Quantity
Algebra
Operations and Algebraic Thinking
Functions
Geometry
Measurement and Data
Functions
Geometry
Statistics and Probability
Statistics &
Probability
Grade 6 Overview
• Understand ratio concepts and use ratio reasoning to
solve problems.
• Apply and extend previous understandings of
multiplication and division to divide fractions by
fractions.
• Apply and extend previous understandings of arithmetic
to algebraic expressions (solve one-variable equations
and inequalities)
• Solve real-world and mathematical problems involving
area, surface area, and volume.
• Develop understanding of statistical variability;
Summarize and describe distributions.
4
Grade 7 Overview
• Analyze proportional relationships
• Apply and extend previous understandings of operations with
fractions to add, subtract, multiply, and divide rational numbers.
• Use properties of operations to generate equivalent expressions.
Solve real-life and mathematical problems using numerical and
algebraic expressions and equations.
• Draw, construct and describe geometrical figures and describe the
relationships between them. Solve real-life and mathematical
problems involving angle measure, area, surface area, and volume.
• Use random sampling to draw inferences about a population.
Draw informal comparative inferences about two populations.
• Investigate chance processes and develop, use, and evaluate
probability models.
5
Grade 8 Overview
• Know that there are numbers that are not rational, and approximate
them by rational numbers.
• Work with radicals and integer exponents. Understand the connections
between proportional relationships, lines, and linear equations. Analyze
and solve linear equations and pairs of simultaneous linear equations.
• Define, evaluate, and compare functions. Interpret the equation y=mx +
b as defining a linear function, whose graph is a straight line; give examples of
functions that are not linear.
• Understand congruence and similarity using physical models,
transparencies, or geometry software.
• Understand and apply the Pythagorean Theorem.
• Solve real-world and mathematical problems involving volume of
cylinders, cones and spheres.
• Investigate patterns of association in bivariate data.
6
High School
• The high school standards specify the mathematics that all students
should study in order to be college and career ready.
• Additional mathematics that students should learn in order to take
advanced courses such as calculus, advanced statistics, or discrete
mathematics is indicated by (+), as in this example:
– Represent complex numbers on the complex plane in rectangular and polar
form (including real and imaginary numbers).
• All standards without a (+) symbol should be in the common
mathematics curriculum for all college and career ready students.
• The high school standards are listed in conceptual categories:
• Number and Quantity, Algebra, Functions, Modeling, Geometry,
Statistics and Probability
• Appendix A
7
Unpacking the Common Core:
A Challenge & an Opportunity
October 6, 2011
Dr. Eric Milou
Rowan University
Department of Mathematics
8
Domain
Grade 6
Grade 7
Grade 8
7–12% 22–27%
NA
Ratios and Proportional
Relationships
The Number System
27–32%
7–12%
2–7%
Expressions and Equations
27–32% 18–23%
27–32%
Functions
NA
NA
22–27%
17–22% 25–30%
20–25%
7–12% 15–20%
15–20%
Geometry
Statistics and Probability
Total
100%
100%
100%
Weight Distributions for High School Math I
Conceptual Category
Number and Quantity
Algebra
Functions
Geometry
Statistics and
Probability
Total
Math I
5–10%
22–27%
35–40%
10–15%
15–20%
100%
RESOURCES
*MASTERYCONNECT.COM-free to join.
*App Store –search Common Core; free download from
MasteryConnect
*http://www.ncpublicschools.org/acre/assessment/online