##
* *Reflection: Pre-Tests
Pretesting The Multiplication Unit - Section 2: Ready, Set, Pretest

I was happy to see about three students that used a KWS strategy to solve the word problems. This sample of student work is one of the lowest. As I examine Test A- (Below Grade Level Achieveing) I am puzzled by this student's thinking and lack of number sense. I know I need to focus on more number sense in my teaching. CCSS will strengthen that because of forcing students to think about the "why." Lessons will be designed to fit the standards. Despite the test inadequacy of measuring if the standards had been met, one student just delighted me with his diligence to solve a problem using arrays! He worked so hard! "Using a past strategy!", shows student perseverance. I really praised his efforts and he was just beaming. Strategy use in this unit is extremely important and I will adhere to making sure place value language is being verbally demonstrated in order to master the standard that expects 4th graders to be fluent in place value understanding.

From all of the results, again word problems are in the forefront of being the weakest area. Most of my students show difficulty solving them. There will be several lessons designed to help strengthen and master the standard. Lessons with specific solving strategies, vocabulary, writing explanations, area model practice and instruction on how to set up equations so that the problem is understood will be a part of this unit as I work to re write the unit to fit CCSS exactly.

*Pre-Tests: Instruction Dictated By Results*

# Pretesting The Multiplication Unit

Lesson 1 of 19

## Objective: SWBAT show what they already know about multiplication prior to delving into the multiplication unit.

#### Understanding the Goals

*10 min*

I introduced this new unit by telling students that the last unit, Multiplication Concepts, had prepared them with tools for understanding higher level work. I listed the standards on the board: They were excited that there were only six in this unit.

1. Use area model to multiply. I*t has been decided that area model is our "go to" strategy for teaching multiplication because it solidifies understanding of place value's role in multiplication. Standard algorithms are "out" for fourth grade. Equations are necessary when we are solving word problems. We do expect our students to use arrays when it is practical for solving.*

2. Solve multiple step word problems using a variable.

3. Multiply 4 digits ( thousands place) by a one digit number.

4. Learn to multiply double digit by double digit numbers.

5. Understand and compute multiples of 10.

6. Explain multiplication using place value understanding.

*I always leave these on the white board and refer back to them any time I am teaching or assessing so they constantly are reminded of the purpose. I listed the codes because I wanted them to know that these are real standards and not something I am making up. I mirrored my CCSS ap on the Smartboard and pointed to each standard as I listed our more "student friendly worded" goals.*

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#### Ready, Set, Pretest

*30 min*

I passed out the Multiplication Test Pretest that I thought was aligned with CCSS. It was a test that we pieced from other tests, thinking that they were aligned. That was partially true, but still was not the best test to assess the standards. As I have studied the standards further, I knew it must be re written, completely aligning it with the standards involving multiplication. The aligned test, Multiplication Unit Assessment Re Written & Common Core Alligned is the correct version.

After I reminded my students that they needed to do their best and to skip any they didn't know how to solve. I told them I was looking to find out what they needed to know. I was hoping to see some old strategies used learned from past units, like KWS ( What do I know?, What do they want to know?, and How do I solve it? ) chart strategy used for word problems. I instructed students that when they were finished, to log onto their iPad and work on a math app quietly until all were finished.

After I pretested, I used Multiplication Checklist Common Core Alligned to monitor mastery of the standards. After the Post test, I can use this grid to plan for RTI and use it as a document that proves mastery. It is a very helpful tool!

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- UNIT 1: Place Value and Multi-Digit Addition & Subtraction
- UNIT 2: Metric Measurement
- UNIT 3: Graphing and Data
- UNIT 4: Concepts of Multiplication
- UNIT 5: Geometry
- UNIT 6: Fractions 1: Understanding Equivalence in Fractions and Decimals
- UNIT 7: Fractions 2: Addition and Subtraction Concepts/ Mini unit
- UNIT 8: Fractions 3 Mini Unit: Multiplying Fractions by Whole Numbers
- UNIT 9: Division Unit
- UNIT 10: Addition and Subtraction: Algorithms to One Million
- UNIT 11: Place Value
- UNIT 12: Addition and Subtraction Word Problems
- UNIT 13: Multiplication Unit

- LESSON 1: Pretesting The Multiplication Unit
- LESSON 2: Introduction to Area Models
- LESSON 3: Area Models: Extension of Understanding
- LESSON 4: Area Models: 4 Digit by 1 Digit Multiplication
- LESSON 5: Getting Ready to Quiz: The Greatest Product Game
- LESSON 6: Quiz 1 in Multiplication: Area Model fluency 1x2,1x3 & 1x4 digits
- LESSON 7: Estimation of Products Using 1 Digit up to 4 Digit Equations.
- LESSON 8: Multistep Word Problems, Algebraic Concepts & Equations: Strategy Toward Mastery!
- LESSON 9: Quiz 2 : Multiplication Word Multi-Step Problems: 1x2,1x3,1x4 digit and estimation
- LESSON 10: An 1870's Classrom Meets Common Core: Drilling Math Facts & a Game of What's Wrong with This Answer?
- LESSON 11: Double Digit Multiplication and the Area Model
- LESSON 12: Powers of Ten: Review and Practice and Writing Clear Explanations
- LESSON 13: Multi-step word problems: Review and Support to Mastery
- LESSON 14: Quiz 3: Double Digit Multiplication, Estimation and Solving Word Problems
- LESSON 15: Estimating Double Digit by Double Digit Multiplication
- LESSON 16: Reviewing for Multiplication Assessment: A student jigsaw presentation.
- LESSON 17: RTI: Making Solving One Step Word Problems a Piece of Cake!
- LESSON 18: Estimation Scenarios: Writing Estimation story problems.
- LESSON 19: Assessing Multiplication