Unit Overview

Week

1

2

3

Focus

Basic Concept of Integers (Surface Learning) Big Idea: Integers are defined by 0 as a center of opposites.

Ordering Integers (Deep Learning) Conceptual Focus: Value is determined by directional position on the number line.

Addition and Subtraction of Integers (Transfer Learning) Skill Focus: Operations as neutralization or directional change in novel problems.

Key Activity

The "Opposite World" Model: Introduce integers using highly relatable Indonesian contexts like elevation (above/below sea level) or temperature changes (above/below 0∘C). Students physically move to represent numbers (e.g., move forward for positive, backward for negative).

Number Line Race & Debate: Use a large floor number line. Students plot various positive and negative integers. They then verbally debate and justify why −3 is greater than −7 by referencing their position relative to zero and the principle of "further left = smaller value."

Two-Color Chip & Storytelling: Students model all four types of operations (e.g., −4+6 and 2−(−3)) using physical counters. They must then create a short story (e.g., about debt or climbing) to explain the resulting equation.

AI & Interactive Media Used

AI Tool (AfL): LLM (e.g., Gemini) generates 10 localized context prompts for instant symbol translation and feedback. Interactive Media (AfL): Virtual Thermometer/Elevation Simulator to visualize change around zero, linking symbols to real-world magnitude.

Interactive Media (AaL): Geogebra Applet - Number Line: Students plot and re-order complex integer sets digitally. The tool provides visual error feedback, revealing Magnitude Errors. AI Tool (AaL): LLM generates prompts for Reflection Journal based on common errors (e.g., "Reflect on why you initially placed −9 incorrectly on the number line.").

Interactive Media (AfL): Virtual Two-Color Counter Tool (e.g., Math Learning Center App): Used for fast, unlimited modeling of complex problems before calculation, reinforcing neutralization. AI Tool (AfL/AoL): LLM generates scaffolding hints for word problems (AfL) and then generates a differentiated set of similar problems for practice (AoL).

Assessment Checkpoint

AfL: Instant Feedback Quiz: Quick check on symbol translation (AfL). AaL: Peer-Teaching Session: Students explain the "opposite" concept to a partner using the virtual thermometer as a reference (AaL). AoL: Short Quiz: Matching 10contexts to their correct integer representation (AoL).

AaL: Error Analysis Reflection: Students submit a journal entry detailing their specific ordering mistake and articulate the correct rule (AaL). AfL: Exit Ticket: Students order 5 new numbers and provide a single-sentence justification(AfL). AoL: Check-In Quiz: Ordering a full set of 10 random integers (AoL).

AfL: Quick Model Check: Teacher observes students using the virtual counters to solve −7+5 for immediate procedural feedback (AfL). AaL: Equation Storytelling: Students share their operation stories, and peers critique the conceptual accuracy of the mathematical model (AaL). AoL: Unit Transfer Test: Comprehensive assessment solving 5−7 multi-step word problems, requiring both equation formulation and accurate computation (AoL).