The lessons and activities within “Which Integer is Greater?” will unfold over a number of math classes (60 minutes each). This is the suggested order:

Start Learning

Unplugged Task-Teacher is a Robot

Optional lessons depending on your students’ knowledge of coding

Movement Along the Number Line - Background Information

Make a Number Line on Grid Backdrops

Active Learning

Parts 1 & 2 - Which Integer is Greater Lesson Plan

Part 3 - Coding for Markers on Number Line Lesson

Part 4 - Coding for Arrows on a Number Line

Consolidation of Learning

Recap and Consolidation for Integer Lessons

5 Things I Learned about Integers Scratch Project

Further Consolidation and Next Steps

Worksheets or Student Challenges

Remix Ideas

Student Projects (sample)

Big Idea(s):

Connecting Math Algorithms to Coding

Coding and Integers in Scratch

Expectations:

Number

• B1. demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life

  • B1.2 read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines

  • B1.3 compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts

Algebra

• C3. solve problems and create computational representations of mathematical situations using coding concepts and skills

  • C3.1 solve problems and create computational representations of mathematical situations by writing and executing efficient code, including code that involves conditional statements and other control structures

  • C3.2 read and alter existing code, including code that involves conditional statements and other control structures, and describe how changes to the code affect outcomes and the efficiency of the code

  • C4 apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations

• C4. apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations

Social-Emotional Learning (SEL) Skills in Mathematics and the Mathematical Processes

• A1. Throughout this grade, in order to promote a positive identity as a math learner, to foster well-being and the ability to learn, build resilience, and thrive, students will apply, to the best of their ability, a variety of social-emotional learning skills to support their use of the mathematical processes and their learning in connection with the expectations in the other five strands of the mathematics curriculum.

In this lesson, to the best of their ability, students will learn to recognize sources of stress and cope with challenges and build relationships and communicate effectively as they apply the mathematical processes problem solving (develop, select, and apply problem-solving strategies) and reflecting (demonstrate that as they solve problems, they are pausing, looking back, and monitoring their thinking to help clarify their understanding), so they can work through challenging math problems, understanding that their resourcefulness in using various strategies to respond to stress is helping them build personal resilience, and so they can work collaboratively on math problems – expressing their thinking, listening to the thinking of others, and practising inclusivity – and in that way fostering healthy relationships.

Unplugged Activity Teacher is a Robot Lesson Plan

Students give actions for the teacher to act upon exactly as given. Students learn to give explicit instructions using exact wording. This will be critical for computational thinking and decomposing math algorithms and their transfer to coding.

The links below might be useful for teachers (and students) to understand before using Scratch for these lessons. Their use is optional.

• Movement Along the Number Line - Background Information: Motion Blocks move around by steps (10 steps = 10 pixels) or (x-, y-) coordinates. This one-page explanation outlines the basic information. While it is titled, Movement along the Number Line, it is movement along the x-axis, which for these projects IS the number line.

• Make a Number Line on Grid Backdrops: This document is instructions for the Paint Editor for students to have a grid backdrop, and with the Erase tool, erase grid lines above and below the x-axis so a number line is all that is left. Then, using the Text tool, add -/+ integers along the number line. This is not necessary for the Integer Projects: they can be run with a full grid backdrop or a partial grid (number line). The coordinates remain the same.

Classroom Opportunities for Social-Emotional Learning:

• Paired Programming

• Classroom Advice Space & Buddy Programming

• Classroom Opportunities for Social Emotional Learning

• Questions Social Emotional Learning

Opportunities for Differentiation (meeting the needs of all learners)

Remix Ideas for Integers on a Number Line.pdf

Recap and Consolidation for Integer Lessons provides key ideas scripted for the teacher to use in part or as a whole. It can be used and repeated throughout the series of lessons.

Scratch Project: 5 Things I Learned about Integers is a classic Scratch project that can be used across multiple subject areas as evidence OF learning or to consolidate learning. Think of it as a coding presentation or slide deck. It is one of 24 Starter Projects from the ScratchTeam.

Remix Ideas for Integers on a Number Line (for Further Consolidation) are suitable for differentiated learning as well as further consolidation--in particular, modifying elements within a Project must contain challenges.

Sample of Unplugged/Plugged Worksheet - Teacher or student constructed challenges using screenshots of Scratch Grid backdrops &/or block stacks consolidate learning of math concepts and coding.

Sample Task or Student Challenge

Student projects - Students create their own projects based on math concepts and coding examples taught. For example, here is one with a Lightning Bolt sprite that moves to show an integer on the number line.

Scratch Project: Make a Number Line, Now Add Integers