Step-by-Step Model Drawing

Solving Word Problems the Singapore Way

Courtesy• Be on time• Cell phones on silent, vibrate, or off• Be mindful of side-bar conversations• Focus on the task at handCollaborative• Promote a sense of inquiry• Frame meaningful questions• Pay attention of self and others• Assume positive intentions• Be reflective

Norms

Participants will have a better understanding of why Model Drawing is an important strategy to teach K-5.

Participants will have a better understanding of how to teach Model Drawing.

Today’s Outcomes

One of the key Elements missing in the United States instruction of Mathematics is a focus on Problem Solving.

Singapore Math focuses on problem solving and creating equations from Primary up.

Model Drawing is the way the teach this and build conceptual understandings (not just memorizing facts and formulas)

https://www.youtube.com/watch?v=E5Bte7K_Mxg

A Focus on Problem Solving

Concrete- Manipulatives Pictorial- Visual Models or Drawings

Abstract- Symbols

C-P-A

Computation is about students comprehending what they are doing, not simply following rules. Model Drawing does not address this but Number Talks or other Fluency work will help students with this part.

What is Computation?

Comprehension should be the goal in mathematics just like reading!

What to do and why.

Math Comprehension

Teachers have to use multiple strategies to teach the same concept because what makes sense to one student may not make sense to another.

Everyone learns in different ways!

First they need to learn the process.

Then they need to apply the process independently.

Two Stages of Model Drawing

Manipulatives K-2 Number Bonds/Part-Part Whole Boxes

Discrete Model Continuous Model

Process of Model Drawing

https://www.youtube.com/watch?v=9Mrz1t2PvDQ

1. Read the entire problem.2. Rewrite the question in sentence form, leaving a

space for the answer.3. Write who or what is involved in the problem. 4. Draw the unit bars. 5. Chunk the problem, adjust the bars, and fill in the

question mark.6. Compute and solve the problem.7. Write the answer in the sentence and make sure the

answer makes sense.

7 Steps

Janet picked 3 daisies and 2 sunflowers from her garden. How many total flowers did Janet pick from her garden?

Work with small numbers with students drawing 1 square to represent each object, put in a part-part whole box, or use grid paper.

Discrete Model

One bag of lettuce weighed 14 ounces. Another bag weighed 12 ounces. What was the total weight of the 2 bags of lettuce?

When students understand cardinality, they can move to the continuous model. They have one unit bar and will write numbers inside the bar.

Continuous Model

Marissa spent 2/3 of her money at the mall and had $10 left. How much money did she spend at the mall?

Model Drawing with Fractions

Jia earned money babysitting. She spent ¼ of the money on lunch. She spent ½ the money on a DVD, and she saved $4. How much money did Jia spend on the DVD.

Fractions

30 second graders had a choice of 3 different instruments to play in music class. Half chose the drums and of the remaining kids, two-thirds chose the guitar and the rest chose the recorder. How many students chose the recorder?

Change the Whole

Angela baked cookies. She gave 1/3 of them to her sister, and she put 5/8 of the remaining cookies in the freezer. If she had 1 dozen cookies left, how many cookies did she bake?

Fractions

https://www.youtube.com/watch?v=_11SEY-P_h0

There is ½ of a candy bar that needs to be divided evenly among 3 children. What fraction of the total candy bar will each child receive?

Division of Fractions by Whole Number

Maria rented 2 video games and 3 DVDs for a total of $23. Each video game cost $1.50 more to rent than each DVD. What was the cost of renting DVDs?

Bridge to Algebra with Comparison Problems

Alma and Elmo sold a total of 96 raffle tickets for a school fundraiser. Alma sold 14 more tickets than Elmo. How many tickets did each student sell?

Comparison

Teachers need to work the problems out before teaching them- we are learning too.

This is just 1 problem solving strategy, you still need to teach the others.

Lower grades need to introduce this strategy and practice, because the upper grades need this strategy in place for students to be successful with Common Core.

Reflection