Math Activities for Migrating
to the Common Core
Presented by Donna Ware
Jefferson State Community College Adult
Common Core State Standards for Mathematics K-12? Maybe
•Known as the CCSS for Mathematics
•State-led project of National Governors Association &
Council of Chief State School Officers
College and Career Readiness Standards (CCRS) for Alabama? No
•A combination of CCSS and Alabama Math Course of Study 2010
College and Career Readiness Standards for Adult Education? Yes
•Known as the CCRS for Adult Education (CCRS-AE)
•Selected from beginning level of instruction in CCSS
Mathematical Reasoning Assessment Targets from GED Testing? Yes
•From GED Testing Service web site (MRAT)
Which Standards Are We Talking
CCSS vs CCRS
Number & Quantity
Standards for Mathematical Practice
•Make sense of problems and persevere in solving them.
•Reason abstractly and quantitatively
•Construct viable arguments and critique the reasoning of others.
•Model with mathematics.
•Use appropriate tools strategically.
•Attend to precision.
•Look for and make use of structure.
•Look for and express regularity in repeated reasoning.
Standards for Content over grade-level
groupings (Levels A-E with most D and E)
•The Number System
•Operations and Algebraic Thinking
•Measurement and Data
•Statistics and Probability
Focus (Justify and defend answers)
Conceptual understanding (Why at least as much or more as how)
Within and across levels building on previous core content foundati
Depth of understanding
View mathematics as more than a set of memorized procedures
Equal attention to conceptual understanding, procedural fluency, an
CCRS Shifts in Mathematics
Develop a Deep Understanding
CCRS-AE Levels C, D
…use visual fraction models or equations to represent the problem
1 ÷ 1/n Strip Model for Division
1 ÷ ½ Think: How many ½ s in 1?
1 ÷ 1/3 Think: How many 1/3s in 1?
How many 1/8s in ¼?
How many 1/8s in
How many 1/4s in
Discuss several models for
Meaning of Fractions
Solve a System of Two
CCRS-AE Level D
Expressions and Equations: Analyze and solve linear equations and pairs
simultaneous linear equations.
Find Surface Area and Volume of
Cylinders, Cones, Pyramids,
Spheres & Rectangular Prisms
MRAT DOK 1-2
Calculate dimensions, surface area, and volume of three-dimensional
Note: Some previously supplied formulas such as formulas for
and area of circles must be known.
Find SA & Volumes of Composite
MRAT DOK 1-2
Compute surface area and volume of composite 3-D geometric figures.
CCRS-AE Level D
Solve real-life and mathematical problems involving angle, measure, area,
surface area, and volume
Identify Properties of Linear,
Quadratic, & Exponential
FunctionsCCRS-AE Level E
Analyze functions using different representations.
Interpret functions that arise in applications in terms of the context.
MRAT DOK 2
Compare, represent, and evaluate functions
In a graphBy an equation
In a table In words
The Rule of 4
Fold a 5 X 8 index
card in half from left
Cut it in half.
Fan fold it to get four
Write each of the
of a linear, quadratic,
function on each of
the four panels.
Work with Radicals and Integer
CCRS-AE Level D
Work with radicals and integer exponents including scientific notation.
Solve Inequalities with Rational
MRAT DOK 1-2
Write, manipulate, solve, and graph linear inequalities with rational coefficients.
Solve linear equations and inequalities in one variable, including equations
with coefficients represented by letters.
Slope and the Coordinate
MRAT DOK 1 and 2
Determine the slope of a line from a graph, equation, or table.
Interpret unit rate as the slope in a proportional relationship.
Which letters(s) has/have a part formed by a line with one positive slope and
one negative slope? Find the slopes.
Which letters (s) has/have a part formed by a line with a positive slope, a line
with a negative slope, and a line with zero slope? Find the non-zero slopes.
Factoring/Solving Equations by
CCRS-AE Level E
Algebra: Seeing Structure in Expressions:
Use the structure of an expression to identify ways to rewrite it.
Solve Quadratic Equations using
the Quadratic Formula
MRAT: Algebraic Problem solving
Write, manipulate, and solve quadratic equations.
Note that the quadratic formula is on the formula page.
Operations with Monomials and
CCRS-AE Level C
Apply and extend previous understandings of arithmetic
to algebraic expressions.
Form an algebraic expression, simplify and evaluate
for the given values of the variables.
Use two sets of cards
to make polynomials
to add or subtract.
The Number Line & Absolute
CCRS –AE Level D
Apply and extend previous understandings of numbers to the system of
Understand ordering and absolute value of rational numbers.
TI 30 SX Multiview Calculator
Eleven minute instructional video at
•Easily reduces fractions and
converts improper fractions
•Easily operates with integers
•Easily computes percents,
converts back and forth to and
•Easily operates on fractions
•Easily computes roots
•Easily works with scientific
•Will require skilled use of
Link to 2014 Formula Sheet
See page 16.
Students don’t have to get
all the questions right!
Two scores will be reported—
a GED score and a
Common Core Standards-Mathematics
Adult Ed CCRS College & Career Readiness Standards for Mathematics
GED 2014 See pages 9-15 of Comparison of Math Items 2002-2014
Assessment Guide for Adult Educators (GED Testing)
Video for OnScreen Calculator for 2014 Test Watch now
Social Bookmarking Sites www.ikeepbookmarks.com/donnaware/GED
Free Online Pre-Algebra text http://mathrev.redwoods.edu/PreAlgText/
Free Online Algebra text http://www.opentextbookstore.com/details.php?id=6
Patrick JMT Tutorials http://patrickjmt.com/
Khan Academy www.khanacademy.org
Khan Common Core K-12 https://www.khanacademy.org/commoncore#domain-7-SP
Opened.io Very large catalog of educational videos aligned to the CCSS www.opened.io
Pre-Algebra With Pizzazz and Algebra With Pizzazz by Steve and Janis Marcy See
Foldable Ideas based on Dinah Kike’s foldable book
Math foldables http://www.aldenschools.org/webpages/hstotz/resources.cfm
Teaching the Common Core Math Standards with Hands-on-Activities Judith Muschla, et.al.
Jossey-Bass, , 2012
3D Geometric Solids
3D solid nets
Gridded index cards
All activities (except copyright protected parts) &
this presentation is available at