Southport Parent NightSailing Into Mathematics

Jeremy Centeno

Jan. 2013

So if you need help:

Cylle Rowell Instructional Specialist Mathematics K-12 

mailto:rowelmj@bay.k12.fl.us

You would never hear someone say:

I am not very good at reading.

I can’t read.

You do hear people say:

I am not good at math.

I can’t do math.

When I was a kid math was my worst subject

What is the difference?

The difference between the USA and other higher performing nations is that a culture of learning math is established from the beginning of a students career in school.

Students are informed and taught everyone can do math.

What are the following?

• Cryptanalyst $137,780/yr

• Computational Biologist $150,000/yr

• Mathematical Physicist $166,400/yr

• Actuary $160,000/yr

• The way we taught students in the past simply does not prepare them for the higher demands of college and careers today and in the future. Your school and schools throughout the country are working to improve teaching and learning to ensure that all children will graduate high school with the skills they need to be successful. In mathematics, this means three major changes.

• Teachers will concentrate on teaching a more focused set of major math concepts and skills. This will allow students time to master key math concepts and skills in a more organized way throughout the year and from one grade to the next. It will also call for teachers to use rich and challenging math content and to engage students in solving real-world problems in order to inspire greater interest in mathematics.

CCSS Practice #1

Practice: #1 Make Sense of problems and perserver in solving them

Three Main Points:Make a PlanSelf Monitor and ExplainDemonstrate understanding by corresponding

Example: Student Friendly Definition:I can make a plan, explain my answers, and show how I did it; then I can try another way

Number Bonds

• Write the Words Smooth and then Sailing at the top of your sheet protector

• Underneath each word write the total number of letters

Smooth Sailing

6 7

3 3 7

3 + 10 = 13

What does 6+7=

CCSS Practice #2

Practice: #2: Reason Abstractly and Quantitatively

Three Main Points:Makes sense of quantities and their relationship to the problemBring complementary abilities togetherUse reasoning that entails creating a coherent representation

Example: Student Friendly Definition:I can think about the math problem in my head first

Math StringsMental Math

• The number of fingers on two human hands

• Subtract the number of toes on one human foot

• Multiply it by the number doughnuts in a half dozen

• Divide by the number of eyes on a human face

• Add to it the number of hearts in a human body

• The answer is? 16

CCSS Practice #3

Practice: #3: Construct viable arguments and critique the reasoning of others

Three Main Points:Understand and use stated assumptions and definitionsConstruct arguments using objects, drawings, and actionsListen, read, and critique to find out what makes sense

Example: Student Friendly Definition:I can make a plan.I can tell my partner how I did it and listen to how they did it too!Talk about it!

Find the Fiction

• My number is 100.

1.I can be broken into 4 parts equally

2.I represent a millennium

3.My quantity in pennies is equal to a dollar

Find the Fiction

• On your board write the number of the statement that is fiction and write the word fiction next to that number (DO NOT SHOW ANYONE)

• Example: 4 Fiction • When you hear the signal word discuss with your

group one at a time your answer. Come to a consensus

• Answer: 2 is the Fiction • Praise: Expert Thinking

CCSS Practice #4Practice: #4 Model with mathematics

Three Main Points:Reflect on whether the results make senseApply the math they know to solve problems in everyday lifeMap relationships using tools

Example: Student Friendly Definition:I can use symbols and numbers to solve problems

What does this Array tell us?

Why Arrays?

CCSS Practice #5

Practice: #5 Use appropriate tools strategically

Three Main Points:Be familiar with and consider all available toolsUse Technology tools to deepen understandingIdentify and Use other math resources

Example: Student Friendly Definition:I can use all available tools and technology appropriately when solving math problems

Number Lines

CCSS Practice #6

Practice: #6 Attend to Precision

Three Main Points:Communicate precisely and use clear definitionsState the meaning of the symbolSpecify units of measure

Example: Student Friendly Definition:I can carefully explain to my partner how I came across my answer and why I think it is correct

Draw a Triangle

CCSS Practice #7

Practice: #7 Look for and make use of structures

Three Main Points:Find a patternUse what you knowSolve the problem!!!

Example: Student Friendly Definition:I can use what I already know to solve a problem using patterns

Word ProblemTake a Deep Breath!

• Mr. Centeno had a fruit fly problem.• On day 1 there were two fruit flies.• On day 2 there were four fruit flies.• On day 3 there were six fruit flies.• How many fruit flies would Mr. Centeno have

on day 5?• Answer: 10• What was the pattern? +2

CCSS Practice #8

Practice: #8 Look for and express regularity in repeated reasoning

Three Main Points:Notice if calculations are repeated by looking for methodsAttend to detailOften evaluate results (check understanding)

Example: Student Friendly Definition:I can look for shortcuts, use steps to solve problems, and see if it makes sense

Repeated Pattern Activity

Directions. Multiply the middle number by itself. Multiply the outer numbers to each other. Compare the products

5,6,7

3,4,5

6,7,8

What conjecture can you come up with?

What is 29x31 and why?

What would the Algebraic formula look like?

Some Humor

http://www.youtube.com/watch?v=cydcnQf0usg