PACING = First 5 days of school
Choose your own maths adventure with our interactive tools that allow you to build a custom playlist of inspirational maths activities and messages! To build your WIM week, select one video, one resource for creating a positive maths community, and one task per day and add to your playlist. Then click “See Summary” to play videos, download materials and save/share your WIM week! Check out these pre-made playlists curated by the youcubed team for first grade, middle school and high school and share your playlist on social media with #myWIM!
Share the “Why” with Students: Give the students the rationale behind the Math Talk. Let them know that they have great thinking that we can't see and this gives them a chance to share what's going on in their brains. This also gives everyone a chance to learn from each other lots of different ways we can think about a problem.
Initial Implementation : As you begin to implement Math Talks in your classroom, you will want to keep them simple. Your goal might be to have 2 or 3 students share their thinking, which you capture and record without much comment or questioning.
● Provide a safe environment. ● Start with easier problems so that students can learn the routine and to encourage wide participation.
● Present calculation problems horizontally. ● Provide quiet think time and a silent signal. ● Accept, respect, and consider all answers.
● Capture student thinking as faithfully as you can. ● Write the student’s name so that you can refer to _______’s strategy.
● Develop your poker face. Respond neutrally to students’ comments.
More information: Number Talk "Look fors" Math Talk Process Tips for Number Talks
Suggested Talks to get started:
Days 1-2: Dot Talks (Choose one image per day)
Questions: How many do you see? How do you see them?
Suggested Steps:
Quickly show one of the dot images so students do not have time to count. Have students show a thumbs-up to the chest if they think they know how many dots. Depending on the number of students who are showing you a thumbs-up, you may wish to show it a second time.
Solicit student responses, right or wrong.
Have students do a Turn-and-Talk to discuss how they saw the dots.
Have a few students share how they saw the dots. Make several copies of the Dot Talk in order to record student thinking by circling the groupings they identify, and writing the corresponding equation. Record students’ names on the copies.
Summarize the Math Talk by connecting the equations to each other and to the dots.
Number Strings
Objective: Multiply multi-digit numbers using efficient strategies, building towards greater fluency with multiplication.
Question/Prompt: What is the product? How do you know?
Show the first expression, allow for discussion of a few strategies, then show the next expression. Do as many expressions from one string as time and interest allow. You do not have to do all of the problems in the string in one day.
Friendly/ Landmark Number strategy:
Day 3 Day 4 Day 5
40 x 6 300 x 7 800 x 3
39 x 6 299 x 7 799 x 3
50 x 4 700 x 4 200 x 9
49 x 4 699 x 4 199 x 9
28 x 3 498 x 5 598 x 7
Students may describe use of the standard algorithm to explain their thinking. This algorithm is taught formally in fifth grade once students have had sufficient experience with conceptual understanding of multiplication using the properties of operations and place value. Use questions to help students relate this strategy to decomposition by place value. For example: How many tens are there? How many ones? Why only record the “2” of the 12?
Ready Teacher Toolbox- Lessons 0 for the first five days: Lessons to launch to review key concepts to prepare for the start of the school year and familiarize students with the flow of the Try-Discuss-Connect instructional routine.
Tech First 10 Days: gr6-8
Youcubed: Day 1: Honoring Ideas: Wanted! Everyone's
We start this lesson with an activity that helps students learn to work well in a group. This will help students when they engage in group work for the year ahead. We then introduce a powerful inquiry task called Four 4’s. This excites students so much they take it home and continue with their parents and friends! It is a great task for revisiting important number facts and relationships while engaging students in open inquiry. We have chosen it for the first day as it also helps students to feel comfortable sharing their thinking. Content: All number operations
Ready Teacher Toolbox- Lessons 0 for the first five days: Lessons to launch to review key concepts to prepare for the start of the school year and familiarize students with the flow of the Try-Discuss-Connect instructional routine.
Tech First 10 Days: gr6-8
Youcubed: Day 2: Visualizing Numbers Made of Dots
In this lesson we share a really cool and different way of looking at numbers, which will help students see factors and multiples. Students are invited to look for patterns and to color code and ask their own questions about the interesting representations. This lesson created “oohs” and “aahs” throughout the room in our trial – students were fascinated by the numerical relationships they saw, often for the first time. In the extension activities investigating consecutive numbers students can receive opportunities to understand the meaning of algebraic expressions. Content: Factors, multiples, prime numbers, number relationships, algebraic expressions and equations
Ready Teacher Toolbox- Lessons 0 for the first five days: Lessons to launch to review key concepts to prepare for the start of the school year and familiarize students with the flow of the Try-Discuss-Connect instructional routine.
Tech First 10 Days: gr6-8
Youcubed: Day 3: Folding Geometry with Brain Flip Flops
In this lesson we invite students to engage in a different type of mathematical thinking through a paper folding task. The task is interesting and challenging but students know everything they need to solve it. The students are also taught to be skeptical and to convince and reason. A 10 minute activity on visualizing is integrated into this lesson; be sure to watch the video of Jo teaching the visualizing activity linked to the right! Content: Area, fractions, triangles, squares, estimation
Lesson Plan Day 3 Video Day 3 Day 3 slides Number Talk video
Ready Teacher Toolbox- Lessons 0 for the first five days: Lessons to launch to review key concepts to prepare for the start of the school year and familiarize students with the flow of the Try-Discuss-Connect instructional routine.
Tech First 10 Days: gr6-8
Youcubed: Day 4: Pascal's Triangle
This lesson invites students to explore the world’s most famous triangle – often named after Blaise Pascal – and to look for their own patterns inside the triangle. They learn about triangular numbers and about the amazing connections that thread through mathematics. Tasks are also given – for this or a later lesson – that produce Pascal numbers in the solutions, which students find amazing! Content: Patterns in number, triangular numbers, addition, powers
Ready Teacher Toolbox- Lessons 0 for the first five days: Lessons to launch to review key concepts to prepare for the start of the school year and familiarize students with the flow of the Try-Discuss-Connect instructional routine.
Tech First 10 Days: gr6-8
Youcubed: Day 5: Growing Shapes
This is a lovely task involving algebraic thinking, and begins by asking students to see a shape grow. Students share their different ways of seeing the shapes and then use their visual thinking to generalize and possibly produce algebraic expressions. Students are amazed by the different ways that others see the shapes. This task gives students the chance to link numbers, shapes, words and algebra in a totally engaging way that will require the firing of different brain pathways and be very productive for the year’s mathematical thinking. Content: Algebraic thinking, generalization, forming an algebraic expression, algebraic equivalence
“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104
There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed. Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).
Ideas for closure activities