Valley Shopping Center Lesson Plans

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4th grade		* Math Plans *			October 8-12
Common Core Content Standard
« CCSS.Math.Content.4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Weekly Goals/Objectives
« I can be a problem solver! « I can invent strategies to multiply multi-digit numbers to calculate area (like an open area model and partial products). « I can estimate using multiples of ten. « I can use the distributive property with larger numbers.
			Number Talks
Monday	Tuesday		Wednesday	Thursday		Friday
10 x 15 11 x 15 9 x 15 10 x 22 9 x 2 11 x 22 11 x 23 Focus: Distributive Property, Ten-Times, Partial Products	10 x 13 11 x 13 9 x 13 3 x 13 13 x 13 19 x 13 Focus: Distributive Property, Ten-Times, Partial Products		10 x 14 11 x 14 9 x 14 4 x 14 14 x 14 19 x 14 Focus: Distributive Property, Ten-Times, Partial Products	The outdoor classroom is 25’x16’. What is the area of the outdoor classroom?		The practice football field is 100 yards long and 27 yards wide. What is the area of the field?
Lesson Details
Monday Procedures: *INTRO: Pass out copies of the new Valley Shopping Center article and read under ELMO. *Give every student a map of the shopping center- they need it for the whole investigation. *Students will work with their learning partner to solve the questions listed below & create a blueprint of the Bama Fever & Tiger Pride store in the Valley Shopping Center. *QUESTIONS: - How many red tiles will they need for the Alabama section of the store? -How many orange tiles will they need for the Auburn section of the store? -What is the total area (in square feet) of the store? (Explain what a square foot is by measuring a floor tile with a ruler.) -Students should draw blueprints on graph paper Extension:  -Extension: The rent is $8.00 per square foot.      -How much rent should the Alabama section pay?      -How much rent should the Auburn section pay?      -What is the total rent for the store? -Challenge: Each ceiling tile is 4 square inches. The entire ceiling will be covered in these tiles.      -How many tiles does the builder need to purchase?      -The tiles come in boxes of 100. How many boxes does the builder need to buy? Accomodation: -Students will work with a learning partner assigned by the teacher (choose students who can work efficiently together on the same ability level) -Teacher will pull a small group of students to his or her table if needed -Teacher will circle the room to each group to ensure students avoid any misconceptions -Provide abbreviated notes for math journal Formative Assessment Question: -Choose two problems from today’s number talk, and explain, in words, how you solved it. Materials: -Copies of articles -Copies of maps -Popsicle sticks (optional) for students who need help splitting the store -Square tiles (optional) -Graph paper -11x17” paper -Colored pencils/ crayons
Tuesday Procedures: -Gallery walk: Students should post PRODUCTIVE comments on work (remind students what type of comments are expected). *Display student work around the classroom. Explain that mathematicians ask each other to review their work before their final product is published. Students will have 10 minutes to silently walk review their classmates’ work. Students will choose the work of four classmates to leave a comment on with a sticky note. -After gallery walk, gather as a class for math congress. The teacher will select three groups to present their conclusions about the investigation. Students participating in congress will take notes of their classmates presentations in their math journal. *The agenda for today’s congress is to discuss efficient strategies for calculating the number of tiles for any size area. *Math congress order (Look for students who did these things): 1. Counted each individual square on the graph paper. 2. Students who did 18x9 to get the area of the store. 3. Students who used the distributive property or doubling/halving to solve. Accomodation: -Provide writing prompts for students as needed such as the ones listed below. “I like the way you…” “What if you tried…” “Can you help me understand why you….” Formative Assessment Question: Use a strategy of your choice today to explain how to find the number of tiles needed for any size store. Materials: -Student work from day 1 -Sticky notes
Wednesday Procedures: *INTRO: Hand out Yogurt Mountain purchase order. Read aloud. *Students will work with their learning partner to solve the questions listed below & complete an order form for the Yogurt Mountain store in the Valley Shopping Center. *QUESTIONS: - How many purple tiles are needed? -How many green tiles are needed? -How many tiles in all are needed? -The purple tiles cost $1.50 each and green tiles cost $1.25 each. What will the total cost of the tiles be? Extension:  Extension (YM Part 2): Flooring blowout is having a huge sale. Look at the prices below. Which store has a better price? -Green: $1.50 for the first 50 tiles, then $0.99 for the next 50, and $0.50 for the next 50. -Purple: $1.98 for the first 25, $0.79 for the next 25, and $0.49  for the next 25. Accomodation: -Students will work with a learning partner assigned by the teacher (choose students who can work efficiently together on the same ability level) -Teacher will pull a small group of students to his or her table if needed -Teacher will circle the room to each group to ensure students avoid any misconceptions Formative Assessment Question: The Yogurt Mountain in Trussville is 24 feet by 8 feet, and it also has half of the store tiled with purple tiles while the other half is tiled with green tiles. How many green tiles are needed? How many purple tiles are needed? How many tiles in all? Materials: -Graph paper -Colored pencils/ crayons -Copies of Yogurt Mountain purchase order -Flooring blowout ad
Thursday Procedures: -Gallery walk: Students should post PRODUCTIVE comments on work (remind students what type of comments are expected). *Display student work around the classroom. Explain that mathematicians ask each other to review their work before their final product is published. Students will have 10 minutes to silently walk review their classmates’ work. Students will choose the work of four classmates to leave a comment on with a sticky note. -After gallery walk, gather as a class for math congress. The teacher will select three groups to present their conclusions about the investigation. Students participating in congress will take notes of their classmates presentations in their math journal. *The agenda for the class congress today is to once again discuss efficient strategies for calculating the number of tiles needed for any size area. *Math congress order (Look for students who did these things): To find square footage: 1. Counted each individual square on graph paper 2. Distributive property To find pricing: 1. Repeated addition 2. Skip counting 3. Ratio table 4. Distributive property or doubling/halving Extension:  *PART 2: Flooring blowout is having a huge sale. Look at the prices below. Which store has a better price? -Green: $1.50 for the first 50 tiles, then $0.99 for the next 50, and $0.50 for the next 50. -Purple: $1.98 for the first 25, $0.79 for the next 25, and $0.49  for the next 25. Accomodation: -Provide writing prompts for students as needed such as the ones listed below. “I like the way you…” “What if you tried…” “Can you help me understand why you….” -Provide abbreviated notes for math journal Formative Assessment Question: -If Bed, Bath and Beyond was 18 feet long and 9 feet wide, about how many tiles will they need to cover the whole store? Materials: -Student work from day 3 -Sticky notes -Flooring blowout ad
Friday Procedures: *Hand out Best Buy job ad and read as a class. *Students should work with their learning partner to determine the length of the Best Buy sidewalk (the length of the store), only knowing the width of the store (18 ft.) and the area of the store (972 sq. ft.). *Look for students who are: -multiplying -using repeated addition -using the distributive property -dividing -partial products Extension:  - Best buy is trying to stock their DVD wall, which is across the back of the store. The wall is 54 feet wide and 8 feet tall. Each DVD is six inches wide and the shelves are each one foot tall. If the DVD’s are placed right next to each other on the shelves, how many DVD’s will fit on the wall? *Take notes of the strategies students are using. Accomodation: -Students will work with a learning partner assigned by the teacher (choose students who can work efficiently together on the same ability level) -Teacher will pull a small group of students to his or her table if needed -Teacher will circle the room to each group to ensure students avoid any misconceptions Formative Assessment Question: Best Buy’s manager is so pleased with the new sidewalk, he asks the company to come pave a sidewalk in front of his pool house. The area of the pool house is 112 sq. ft. and it is 8 feet wide. What is the length of the poolhouse needed to pave the sidewalk? Materials: -Maps -Graph paper -Best Buy job ad

Number Talk

Number Talk

The video above is a student interview with a fourth grade student.

Student Work Samples

Student Work 


Samples

The student work samples above are from the Yogurt Mountain day of the investigation. Students first calculated the number of purple and green tiles needed. Students then calculated the cost of these tiles displaying their work on their final poster. 

Exit Slips: Exit slips are a great formative assessment asking students to solve, explain, etc. their decision to solving a quick problem. Students then use these slips as their pass to exit the classroom. I often use them to transition to our next activity if our class needs to take a quick restroom break, etc.

Assessments

Assessments

This unit of study investigating multi-digit multiplication uses formative assessments each day to guide instruction, avoid any misconceptions and inform the teacher of students in need of intervention/accommodations. Assessment questions may be printed for students to answer, or students may answer each question daily on an index card.

Monday

Choose two problems from today’s number talk, and explain, in words, how you solved it.

10 x 15

11 x 15

9 x 15

10 x 22

9 x 2

11 x 22

11 x 23

Tuesday

Use a strategy of your choice today to explain how to find the number of tiles needed for any size store.

Wednesday

The Yogurt Mountain in Trussville is 24 feet by 8 feet, and it also has half of the store tiled with purple tiles while the other half is tiled with green tiles. How many green tiles are needed? How many purple tiles are needed? How many tiles in all?

Thursday

If Bed, Bath and Beyond was 18 feet long and 9 feet wide, about how many tiles will they need to cover the whole store?

Friday

Best Buy’s manager is so pleased with the new sidewalk, he asks the company to come pave a sidewalk in front of his pool house. The area of the pool house is 112 sq. ft. and it is 8 feet wide. What is the length of the poolhouse needed to pave the sidewalk?

Writing in Math

Writing in Math

When writing, students must reason through communicating the relationships the have constructed with their peers. Classroom discussion is essential in a safe learning environment where all students can voice their opinion of agreeing or disagreeing with their classmates and teacher. In this unit, students have several opportunities to write about the relationships they have constructed and take notes on the strategies used by their peers. Here are examples found within this unit of study for investigation multi-digit multiplication.

* Formative Assessment- Writing is a great tool for formative assessment because it gives teachers a clear indication of student understanding.

“Choose two problems from today’s number talk, and explain, in words, how you solved it.”

“Use a strategy of your choice today to explain how to calculate the number of tiles needed for any size store.”

*Note Taking- Writing for the purpose of note taking is an essential skill. During math congress, students begin discussing the information important enough to record in their math journals.

“Students participating in congress will take notes of their classmates presentations in their math journal.”

*Communication with peers- Writing is necessary to communicate with peers or fellow mathematicians. Students begin reviewing the work of their peers and writing feedback to communicate clearly with these students. Class discussions are essential to help students determine appropriate feedback. “Could you label these numbers to help me better understand what they represent?” is a drastically different from students writing, “Great job” or “I don’t understand.”