Multi-Digit Addition: Tricky Totals
Day One: Content Development
Grade Level:K-1
2-3
4-5 / Resources for Lesson:
High Yield Routine How do you know page 63
Origo Fundamental Blue Page 32-35
Lesson:
Addition of Three Digit Addends Using Mental Strategies
Game Activity: Tricky Totals / Guiding (Focus) Question:
What are strategies to mentally add three digit numbers mentally?
Unit Learning Targets:
Use mental strategies to add two three-digit numbers. Students will use various strategies to add numbers together.
Success Criteria:
I can use mental strategies to add multiple digit numbers with different strategies.
Mathematical Practices: / Content Standards:
3.NBT.2 (Fluent by the end of 3rd Grade)
4.NBT.4 (Standard algorithm multi-digit addition) / Time For Lesson:
Warm Up: How do you know 10 minutes
Content Development: 20 minutes
Game: 20 minutes
Reflections: 10 Minutes
Content Objectives: (Student Friendly)
I can add three digit numbers using mental strategies. / Language Objectives:(Throughout unit make sure all four language modalities, reading, writing, speaking and listening are addressed)
I can listen to strategies that other people share.
I can explain how to play a game.
Key Vocabulary:
- Compose*
- Decompose*
- Strategy
- Easy Numbers
Manipulatives-
- Base 10 Pieces
- Number Discs
- Number Strips
Easy Number Strategy / Decompose/
Compose Strategy
Estimation* Use as a strategy to develop number sense, students will still need to find precise answers. / Other Strategies-
/ Materials:
Fundamentals Blue Book Page 32-35
Chart Paper
Markers
Number Strips
Number
Tricky Total Game Sheet-Cardstock and Laminated
Tricky Total Number Cards-Laminated in Baggie
Counters
Home Connection:
Will need game sheet and number cards to take home for each student.
Ziploc Baggies
Parent Friendly Directions
Student Engagement: Leadership
- I share and am a good citizen.
- I speak and listen well to others.
- I am healthy and plan financially.
- I use what I have learned.
- I care about the decisions we make about our planet.
- I am a problem-solver and critical thinker.
- I use research strategies.
- I am creative and innovative.
- I make good choices and I am honest.
- I work productively as part of a team.
- I use technology for learning.
- I set goals and plan for my future.
Utilize Super Mathematician Awards
Warm Up:
How Do You Know: (How can you get your students to come up with multiple examples with many different models to show their thinking around the questions listed below?)
- Three quarters is the same as or equal to 0.75?
- How do you know that four eighths is the same as or equal to half?
- How do you know that a square is a rectangle?
- How do you know that 561 is greater than 516?
Content Development:
What three digit numbers are easy to add? (Move beyond Century Numbers)
Write 327 + 148, solve the expression using multiple strategies. Examples are listed below:
- Decompose the numbers 300 + 100 + 20 + 40 + 7 + 8=
- Easy Numbers 325 (-2) + 150 (+2) =
- 330 + 150 480
Give second addition expression. Have student chose a different strategy to solve the second problem. Have students solve the problem in more than one way and share response to the following expression:
573 + 217 =
Ask students…
How do you know… (Reflect back to opening strategy.) / Note:
Have available, counters representing 100’s, 10, and 1’s who struggle with mental computation.
- Draw model of base 10 pieces
- Number discs
- Number Strips
Game Activity:
Tricky Totals-Pg. 32 in Blue Fundamentals Book
Play the game several times for confidence before sending home to play with parents and family.
Reflection:
What mental strategies did you use when you played the game?
- Think-Pair-Share
- Share ideas in the class
- How did you work with your partner to successfully play this game?
- How will you teach this game to others?
- Exit Ticket-Decompose a three digit number
Home School Connection:
Take Game Cards home randomly drawing 2 cards and adding them without game board.
When you are in the grocery store have your child look at two items on the shelf and add the totals together.
When looking at a menu ask your child to add two items together mentally.
Tricky Totals:
Day Two: Problem Solving
Grade Level:K-2
3-5
6-8 / Resources for Lesson:
Illustrative Math
Lesson:
Tricky Totals A Thousand Dollar Classroom Award
- Create a list of classroom materials to fit a one thousand dollar award. Share amount spent and amount left over.
- Create bar graph to show spending
- Compare spending with other groups comparing amounts spent.
How could you spend up to but not over $1000 for classroom supplies or activities?
Unit Learning Targets:
Use mental strategies to add two three-digit numbers. Students will use various strategies to add numbers together.
Success Criteria:
I can use mental strategies to add multiple digit numbers with different strategies.
Mathematical Practices:
MP 3 / Content Standards:
3.NBT.2 (Fluent by the end of 3rd Grade)
(3.MD.3) / Time For Lesson:
Warm Up: How do you know 10 minutes
Content Development: 20 minutes
Problem Solving: 20 minutes
Reflections: 10 Minutes
Content Objectives: (Student Friendly)
I can add three digit numbers using mental strategies.
I can create a bar graph to match a budget. / Language Objectives:(Throughout unit make sure all four language modalities, reading, writing, speaking and listening are addressed)
I can listen to strategies that other people share.
I can explain how I spent money for the classroom.
Key Vocabulary:
- Compose*
- Decompose*
- Strategy
- Easy Numbers
- Budget*
- Axis
Manipulatives-
- Base 10 Pieces
- Number Discs
- Number Strips
- Graph Paper
- Four categories-Supplies, Books and Maps, Puzzles and Games and Special Items on x axis
- Y Axis Scales of 10
- Labels for each axis
- Title for Graph
Handout of Tricky Totals a Thousand Dollar Award
High Yield Routine Today’s Number Page 5
Chart Paper
Graph Paper
Markers
Number Strips
Counters
Student Engagement: Leadership
- I share and am a good citizen.
- I speak and listen well to others.
- I am healthy and plan financially.
- I use what I have learned.
- I care about the decisions we make about our planet.
- I am a problem-solver and critical thinker.
- I use research strategies.
- I am creative and innovative.
- I make good choices and I am honest.
- I work productively as part of a team.
- I use technology for learning.
- I set goals and plan for my future.
Utilize Super Mathematician Awards
Warm Up:
Today’s Number: Have students come up with some of their own ideas. Share ideas from the group on large chart paper or on the white board.
- What do you know about 1000?
- What are some different ways to represent 1000?
- What are some different models to show 1000?
Content Development:
Give problem of spending $100 for the class using budget from today’s handout.
Model picking items that will total $100.
Share how you would know that you have spent close to your goal without going over.
Model how you could graphically show your spending through a bar graph using increments of $10.00. (Share major components of a bar graph) / Note:
Whole group modeling. Share how to build a bar graph with major components of the graph.
Problem Solving Activity:
Students work in partners to spend $1000 for class supplies. Share their spending in a bar graph.
Reflection:
Share your spending budget and graphs with another group.
- Compare your spending with their spending.
- Who spent closest to $1000?
- How many categories did each group use? How were your budgets similar and how were they different?
- Exit Ticket-Decompose a three digit number
- Assessment will be completed group graphs.
Home School Connection:
Talk with parents about having a budget. An example would be how much is your weekly grocery budget.
When you are in the grocery story have your child keep a running total of the amount spent.
Younger students could round to the nearest dollar, while older students could calculate decimals.