1.1+Connections+Standard

I believe we were supposed to have read and come up with examples regarding the Connections standard, not Communication. So, I'm starting this new page for us to be able to do that!

Mandi

**Instructional programs from prekindergarten through grade 12 should enable all students to—** Fractions, decimals, and percents Graphs and equations ~Mandi
 * recognize and use connections among mathematical ideas;

They should be able to recognize and use connections between ratios and fractions. Katey

Being able to recognize the connection between fractions, symbolically and physically. - Hailey Understand the connection between fractions, ratios, and proportions. *Tori

Understanding measurements and how it can affect geometry and vice versa. Chris

Length, area, and volume (this is the idea of multiple dimensions) ~Mandi
 * understand how mathematical ideas interconnect and build on one another to produce a coherent whole;

They should be able to interconnect the idea of reciprocals, division, and multiplication within a problem. Katey

First learning how to add fractions with same denominator, and then learning how to add fractions with unlike denominators. Hailey

How to guide students to learn mathematics and form an understanding of it from their own experiences and perspective.Maintaining a comfortable classroom environment; where students are not afraid to speak/present in front of the class, or attempt a task they are unfamiliar with. Allowing classmates to help student in front of class, and not rejecting ideas offered from students. Encourage everyone to participate.

 ~ Tim

Understand the interconnection between the different models that can be used to describe an equivalent fraction/decimal/percent; such as a discrete model, an area model, or a number line. *Tori

The idea of the number line usually starts with the idea of an integer then moves onto the idea of adding fractions. Further on in the learning of the number line you get into imaginary numbers and where they fit on the number line. Each idea builds on the next. Chris

Sports statistics (e.g. winning/losing record, batting average, free throw percentage, etc.) Applying percent discounts at stores when shopping ~Mandi Making multiple batches of recipes and being able to divide your ingredients into correct amounts as well as understand the ratios of ingredients for the maximum flavor in the food. Building a house and needing to cut lumber for the house from a blue print. From this they will learn ratios, division, and much more! Katey
 * recognize and apply mathematics in contexts outside of mathematics.

Planning a budget for weekly meals. -Hailey

Collaborate with teachers in different subject areas to develop "integrated units of study". For example: wildlife populations that are studied in science class. *Tori

Studying human populations growth and decline then using that data to form an algebraic formula to describe the theory can enhance the anthropologists overall knowledge while enhancing the mathematicians skills. Chris

Thank you, Mandi, for starting the page! I took a different direction with my examples; however, I will still list them in the same order as Mandi has.

1. -If given a certain ratio of x to y, x:y, students could find the fraction of x to the total number of objects, x+y, by understanding a ratio's part-to-part relationship. -If given a decimal (.25) of x to total x+y, the should be able to find the ratio of x to y is 1:3, not 1:4.

2. -Students should be able to see the connection between a ratio and the slope of a y=mx+b. -Students should be able to make the connection that any integer is a fraction, 5=(5/1).

3. -If a student wants to split 3 cups of dog food equally between their 2 pet dogs, they should recognize the fraction and know that each dog should have 1.5 cups. -If a student starts with $20 dollars and saves $5 each week with a goal of $100, he or she should recognize the linear relationship and figure out that it will take 4 months to reach the goal.

Valerie

1. Many formulas students use in measurement draw on their knowledge of algebra and geometry.

2. Students can use concepts of collecting data and apply it in algebra to find relationships, functions and formulas and know what all the pieces mean.

3. What's a better buy? Kaitlin Froehlke

1. Recognize and use connnections among mathematical ideas: Fractions and percents.

2. Understand how mathematical ideas interconnect and build on one another: Multiplication and division.

3. Recognize and apply mathematics in contexts outside of math- free throws, or batting averages.

Mike Freeland