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Making New High School Math Standards Meaningful
LaWanda Dalton, Hart County Schools
Juanita Pritchard, Consultant
IDEAS Conference, June 2014
piecing-together.weebly.com
Learning Objectives
1. Give 2 real world examples for high school CCGPS math standards.
2. Create 1 hands-on student activity related to a high school CCGPS math standard.
3. Develop an integrated unit for teaching a high school CCGPS math standard. Integrating math standards into other content.
How? • We chose 2 of the high school common core
standards
– 1 from Coordinate Algebra
– 1 from Analytic Geometry
• Developed as many activities as possible for each standard
• Reviewed by DOE math C & I
Where? • Activities will eventually be on DOE Electronic
Resource Board for students with significant cognitive intellectual disabilities. http://admin.doe.k12.ga.us/gadoe/sla/agps.nsf
• Powerpoints and copyright free materials posted on blog: piecing-together.weebly.com under resource tab
• PINTEREST (Juanita Pritchard)
Scratch Off
http://www.apartmenttherapy.com/try-this-diy-scratch-off-cards-95800
Cover scratch off area with white crayon. (or cover with clear contact paper or laminate)
Mix some metallic acrylic paint with washing liquid. Try to use 1 part washing liquid and 2 parts of paint. Mix the substance.
Paint over white crayon area & let dry. 2nd coat if needed.
SCRATCH OFF FOR FUN!
Let’s get started!
Standard 1 – Coordinate Algebra MCC9‐12.S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots)
How many people were in the vehicle that you came to this conference in?
EXAMPLES & IDEAS
Using pool noodles to make dot plots.
Using bottle caps.
MCC9‐12.S.ID.1 Represent data with plots on the real number line (dot
plots, histograms, and box plots).
Through the completion of these activities, students will learn to display numerical data on dot plots.
Special Note – This standard isn’t about conducting surveys or gathering data. Be sure that any assessment activities for this standard
involve only the representation of the data with plots on the real number line.
“How many computers at home?” Dot Plot
Name: ___________________________________________________ Date: ____________________________
Create a Dot Plot using the results from your survey of “How many computers in your house?®
1 2 3 4 5 6 7 Number of computer’s
Ho
w m
any
pe
op
le h
ad t
hat
man
y co
mp
ute
rs?
Laminated Dot Plot Reusable -
For this activity, painters tape
squares were used to complete
the dot plot.
Jumbo Dot Plot – Created using a foam board,
velcro, ribbon, poker chips and pool noodle.
“How many cell phones at home?” Dot Plot
Name: ___________________________________________________ Date: ____________________________
Create a Dot Plot using the results from your survey of “How many cell phones in your house?®
1 2 3 4 5 6 7 Number of cell phones
Ho
w m
any
pe
op
le h
ad t
hat
man
y ce
ll p
ho
nes
?
Dot Plot Example
Dot Plot
created on
the classroom
board using
painters tape.
The cell
phones were
secured with
magnets.
The next 2 dot plot activities are part of a nutrition unit on…
“Making Healthy Food Choices”
Students read about the new “My Plate” nutritional guidelines. They create sample menus, prepare healthy snacks, conduct surveys about the beverage choices of teenagers and develop persuasive posters encouraging
others to make healthier food choices.
“How many soft drinks do you drink per day?”
Dot Plot
Name: ___________________________________________________ Date: ____________________________
Create a Dot Plot using the results from your survey of “How many soft drinks do you drink per day?®
1 2 3 4 5 6 7 Number of sodas
Ho
w m
any
soft
dri
nks
do
yo
u d
rin
k p
er
day
?
Jumbo Dot Plot – Created using a science
fair project board, velcro and sponge pieces.
Science Fair Board
“How many servings of milk do you drink each day?”
Dot Plot
Name: ___________________________________________________ Date: ____________________________
Create a Dot Plot using the results from your survey of “How many servings of milk do you drink each day?®
1 2 3 4 5 6 7 Number of servings
Ho
w m
any
serv
ings
of
milk
do
yo
u d
rin
k ea
ch d
ay?
Dot Plot Example
Dot Plot on
the class
room board
using
painters
tape.
Additional activities: Placing dot on graph for:
• How many blue chips does each person have?
• How many letter “a” does each person have?
• How many animal cells does each person have?
• How many mammals does each person have?
• Marking distance they jumped
• Marking distance they blew pom--pom
• Marking # of siblings in family
• Marking # of text messages sent in a day/hour
• How long it takes to do a specific task
Additional activities:
• Student has die and rolls it – marking number on numberline, continues for a total of 9 rolls to create dot plot
• Give each student 10 random cards in baggie (or paper bag or envelope) that have #1-10 on them (higher numbers if students can work with)
Additional activities:
REMINDER: • This standard requires numerical data on a
numberline.
• DO NOT USE COORDINATE PLANE
• DO NOT USE AS A SORTING/GRAPHING ACTIVITY
SHIFTING GEARS…….
Standard 2– Analytic Geometry MCC9‐12.A.REI.4 Solve quadratic equations in one variable. b. quadratic equations by inspection (e.g., for x2 = 49),
taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.
EXAMPLES & IDEAS
Activity 1 Finding the square root of 9 using fabric squares to make a quilt.
Continued
1. Give student 9 pieces of fabric or laminated squares to simulate fabric for quilt.
2. Show student there are 9 pieces and have them put the 9 into the equation.
3. The total number, or ‘9’ in this equation moves down in the equation to become a square root equation.
Activity 1 continued 4. Have the students form a square with
fabric pieces (Use template if necessary).
5. Have the students count the units on one side of the square (use number cards if needed).
6. The student can then use the number that indicates the units on one side to solve the equation.
MCC9‐12.A.REI.4 b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing
the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.
Using manipulatives, students will solve
equations involving square roots.
Analytic Geometry
Example: Blank square picture frame mat displaying a 9 block grid
The length of the side is the square root of the area of the square.
x2 =
x =
Total number
Total number
=
Total number
Length of side
Example: Blank equation and answer page
Formula for finding square root
Example: Utilizing collage materials such as photos as their math manipulatives,
students place the items on the blank picture frame mat to find the square root to
solve the equation using the equation templaet..
The length of the side is the square root of the area of the square.
To increase difficulty, the student can be given more than one collage mat and they have to find the correct one to use for problem solving.
x2 =
x =
Total number
Total number
=
Total number
Length of side
Example: Blank equation and answer page
9
9
9 3 Formula for finding square root
Activity: Square Roots of Perfect Squares using plants and planters
Materials:
•Assorted plants in cups
•Assorted square trays
•Equation and Answer Page
•Print and Cut Numbers
Directions:
1.) Students are provided an assortment of plants in
cups and assorted square trays.
2.) Students select a square tray that will hold the
plants without leaving an empty space.
3.) Students place the plants in the empty perfect
square tray to find the square root and solve using
the equation page and print-out numbers.
The length of the side is the square root of the area of the square.
Example
x2 =
x =
Total number
Total number
=
Total number
Length of side
Equation and answer page
Formula for finding square root
9
9
9
Example
3
Why use plants for this activity?
• Students in my class explored gardening as a hobby and as a vocation. Seeds, plants and soil were purchased during class trips to Home Depot. These items provided authentic work materials for students to use for the math activity.
Show the square roots of these perfect squares. Use manipulatives and the equation template to
solve.
Square Root Activity Pages
Analytic Geometry
Formula for finding square root
Show the square roots of these perfect squares. Use your bingo marker and the
equation template to solve.
Show the square roots of these perfect squares. Use your bingo marker and the
equation template to solve.
Formula for finding square root
Show the square roots of these perfect squares. Use your bingo marker and the
equation template to solve.
Formula for finding square root
Show the square roots of these perfect squares. Use your bingo marker and the
equation template to solve.
Formula for finding square root
Use foam puzzle pieces to form
perfect square
(use template to find square root)
Use foam puzzle pieces to form
perfect square
(use template to find square root)
Using templates to find square root
Placing chips to form perfect square
Using Legos to form perfect square
Use post it notes to find perfect square (use template to find square root)
Scratch off where student finds square root on worksheet and scratches off to see if answer is correct.
Find the perfect square with egg cartons Cut and attach egg cartons to form perfect squares. Give students bag of
pom=poms (or other counters) and ask student to find the square root using the egg cartons & equation template.
1. Count pompoms
2. Place in correct square
3. Count length of side to find square root
LaWanda Dalton, Hart County Schools
Juanita Pritchard, Special Education Consultant
Blog: piecing-together.weebly.com
