Parent Curriculum Night Team C MTH/214 University of Phoenix Mathematics for Elementary Educators

1. MTH/214- Mathematics for
Elementary Educators
Devonia Mourning-Taylor
June 29th 2014

2. Our Teaching Philosophy
Students need to learn independently and actively.
Engage in self-guided learning
Teachers need to provide an environment that fosters
learning and educational discussion
Parents should take part in their child's education and
work closely with educators to facilitate learning.
Students should apply and understand what they learn.
Students learn best when they work cooperatively and
develop understanding through using prior experience,
discourse, and reasoning.
Bring the real world to the classroom.

3. The Curriculum covered in this course will build upon the
mathematics already learned in the previous math course
Mathematics is a cumulative subject
Students must be proficient in basic math skills before they can
move on to more complex mathematical concepts
› Addition
› Subtraction
› Division
› Multiplication
› Basic Algebra
› Graphs and Data Analysis
It is vital to practice and apply concepts learned in this math
course “outside” the classroom. This leads to deeper
understanding.

4. Data Analysis and Probability
Geometry
Measurement
How you can help your student at home.
› At home activities
› Use of manipulatives
› Every day applications

5. National Council of Teachers of
Mathematics
NCTM
Data Analysis and Probability
Instructional programs from prekindergarten through grade 12 should
enable all students to—
Formulate questions that can be addressed with data and collect, organize,
and display relevant data to answer them
Select and use appropriate statistical methods to analyze data
Develop and evaluate inferences and predictions that are based on data
Understand and apply basic concepts of probability

6. Data analysis investigations encourage students to collect
real, meaningful data, organize that data and analyze the
data to draw conclusions and explain what they have
learned. These investigations encourage students to apply
mathematical analysis to real-life data and/or applications
in order to investigate problems or issues.
Formulate questions that can be addressed with data and
collect, organize, and display relevant data to answer.
Develop and evaluate inferences and predictions that are
based on data.

8. Guessing the likelihood of an event is an important concept and this game is the perfect way to
learn it! Probability is all about chances and is a fundamental math concept that your child will
encounter again and again. She might as well get a firm handle on it now.
What You Need:
Deck of playing cards
Scratch paper (1 sheet per player)
Pencil (1 sheet per player)
What You Do:
Have your child take out the ace through 6 cards of each suit, and set the rest of the cards to the
side. (There will be 24 cards in total used to play the game.)
Ask her with 24 cards and 4 aces, what is the probability of an ace being drawn? Since 1/6th of
the cards are aces, the chances are 1 in 6.
Have her spread the 24 cards out on the table face down.
One player should take a turn picking up 6 cards and writing down how many aces he's drawn.
Shuffle the cards and spread them out for the next player to choose from. Repeat this process for
every player.
Ask the players to discuss their results. Did anyone beat the odds? Who selected more than one
ace?
Whoever has the highest score after round 10 wins!
Variation: Try adding more cards and see how it changes the probability.

9. Explore congruence and similarity
Make and test conjectures about geometric properties and
relationships and develop logical arguments to justify conclusions
Recognize geometric ideas and relationships and apply them to other
disciplines and to problems that arise in the classroom or in everyday
life.
Draw, construct, and describe geometrical figures and describe the
relationship between them.
Solve problems involving scale drawings of geometric figures,
including computing actual lengths and areas from a scale drawing
and reproducing a scale drawing at a different scale.
Draw (freehand, with ruler and protractor, and with technology)
geometric shapes with given conditions.
Focus on constructing triangles from three measures of angles or
sides, noticing when the conditions determine a unique triangle, more
than one triangle, or no triangle.

10. Predict and describe the results of sliding,
flipping, and turning two-dimensional shapes.
Describe a motion or a series of motions that
will show that two shapes are congruent.
Describe sizes, positions, and orientations of
shapes under informal transformations such as
flips, turns, slides, and scaling.
Examine the congruence, similarity, and line or
rotational symmetry of objects using
transformations.

11. Analysis of two- and three-dimensional shapes and a study of
geometric relationships are used in fields ranging from
architecture to landscaping.
An ability to specify locations and describe spatial relationships.
Geometry can be seen as a conceptual glue that connects
many different areas within mathematics. For example, shapes
drawn on a coordinate grid can be analyzed in terms of
algebraic relationships.
Concepts such as area of a rectangle or volume of a rectangular
solid can help with interpretation of bar graphs.
As we begin to explore areas in which geometric knowledge and
skill are useful we find an abundance of applications. It is
difficult to imagine any area of mathematics that is more widely
used than is geometry.

12. Practice with compass and straight edge to create
several different geometric shapes at various sizes.
Use geometric shape blocks or stickers to create
fun pictures (i.e. a geometric alien).
Practice learning 3 dimensional shapes with
geometric solids (Cylinder, sphere, prisms,
pyramids, cone, ellipsoid, ovoid, etc…). Challenge
your child to find these items around the home or
outside.
Create a geometric shape scavenger hunt for a
walk around the neighborhood or a long road trip.

13. Measurement is finding a number that shows
the size or amount of something.
There are two main "Systems of
Measurement": Metric and US Standard

14. You can measure how long things are, or how tall, or how far
apart they are. These are all examples of length measurements.
(the most common)
How many kilometers (kilo) in a meter (m)?
› 1 kilometer = 1000 meters
How many micrograms (mcg) in a milligram (mg)?
› 1000 micrograms = 1 milligram, and 1000 milligrams = 1 gram
How many millimeters (mm) in a centimeter (cm)?
› 100 millimeters= 1 centimeter and
› 1000 millimeters= 1 meter

15. Temperature is one of
the most common types
of physical
measurements. You can
measure temperature in
various environments by
using a thermometer.
The units of
measurement
are…Fahrenheit and
Celsius

16. Bake with your child and have them measure
out the amount of all the liquids the recipe
calls for.
Have your children measure the temperature
outside of your home and make note of their
findings for two weeks.
Use a ruler to measure objects around the
house.

20. Explore with your children and play. Learning is more fun that way!
• Below is a list of websites you and your child can explore together!
• Let the Fun begin!.......
List of websites for your children and your family to explore:
http://www.nctm.org/resources/default.aspx?id=230
http://nlvm.usu.edu/en/nav/vlibrary.html
http://www.educationworld.com
http://mathflix.luc.edu/
http://www.mathwire.com/games/datagames.html
http://www.mathsisfun.com/data/
http://www.education.com/activity/probability-data/
Khan Academy on YouTube is an excellent source for parents and students
to view tutorials on data analysis and probability.

21. AM Crew. 2012, Feb. 7. 3D animated Math Probability Spinner
Video. Retrieved from
http://www.youtube.com/watch?v=QpfMwA0z_1Y
Billstein, R. (2013). A problem solving approach to mathematics
for elementary school teachers (11th ed.). Retrieved from The
University of Phoenix eBook Collection database.
Elementary Mathematics Pedagogical Content Knowledge:
Powerful Ideas for Teachers, by J.E. Schwartz, 2008 edition, p.
71-72. 2008, Allyn & Bacon, an imprint of Pearson Education
Inc.
http://www.education.com/activity/article/aces-count
National Council of Teacher of Mathematics Standards.