Parent Curriculum Night

Presented by:Learning Team CRachael Cruz, Mike McCarthy, and Jaime Derosa

MTH/214- Mathematics for Elementary EducatorsDevonia Mourning-Taylor

June 29th 2014

Welcome to Parent Curriculum Night!

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.

The Building Blocks of Math

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.

Concepts Covered in This Course

Data Analysis and Probability Geometry Measurement How you can help your student at

home.› At home activities› Use of manipulatives › Every day applications

Data Analysis and ProbabilityNational Council of Teachers of MathematicsNCTM

Data Analysis and ProbabilityInstructional 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

Why is this important to my child?

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.

Have Fun and Explore the Possibilities

At Home Activity

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.

Geometry

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.

Geometry Continued……

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.

Why is Geometry Important?

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.

At Home Activity

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.

Measurement Matters…

Measurement is finding a number that shows the size or amount of something.

There are two main "Systems of Measurement": Metric and US Standard

Length Measurements

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

Measuring Temperature

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

At Home Activity

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.

Let Your Child Teach You!

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=230http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://www.educationworld.comhttp://mathflix.luc.edu/http://www.mathwire.com/games/datagames.htmlhttp://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.

References

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.