7th Grade · Week 1 of 36 · Math
Integers refresh; absolute value; rationals on number line
1. Hook
- Read (or listen to) what you’re learning. Don’t jump to the quiz.
- Walk the worked example. Then use the interactive lab on this page.
- Guided set → independent set → mastery check → teach-back.
- If you write a paper, stay on campus: Citation Helper, Source Library, Paper Studio.
This is self-paced homeschool on Life Academy. Everything you need is on this page.
−3/4 and −0.7: which is colder if they are temperatures? How sure are you?
Then: lab → guided → quiz → teach it back. The lab is the lesson, not a decoration.
2. Teach
Review integers and absolute value and place rational numbers on the number line (CCSS 7.NS.A.1, 6.NS.C.7).
Standards alignment: CCSS.MATH.CONTENT.7.RP (domain-level; works with any state’s standards)
Absolute value measures distance from zero. In science it's used for error size: an answer 3 too high and one 3 too low have the same error.
- Rational numbers are numbers that can be written as a fraction a/b of integers (b ≠ 0), including negative fractions and decimals.
- Absolute value |x| is distance from 0, always ≥ 0.
- To compare negatives, the one farther left (larger absolute value) is smaller.
−3/4 = −0.75, which is less than −0.7, so −3/4 is colder.
|−2.5| = 2.5. The distance between −2.5 and 1.5 is |1.5 − (−2.5)| = 4.
- Order −1/2, 0.4, −0.6, 1/3.
- Convert: −0.5, 0.4, −0.6, 0.333...
- Least to greatest: −0.6, −0.5, 0.333..., 0.4.
- So −0.6, −1/2, 1/3, 0.4.
Plot −1 1/4, 0.75, −0.2, and 5/4. Find the distance between −1 1/4 and 5/4.
Ordering negatives by their digits (thinking −0.6 > −0.5).
Stock changes, temperatures, and account balances are often negative decimals.
No classroom teacher today — this page is the lesson. Follow the how-to, then the lab, then the quiz. Follow Lesson Studio, then the lab, then the quiz.
Interactive lab (on this page)
Change one variable. Record what happened. This model is the lab — not an off-site sim.
Your work — type it here
Type the answer. Then tap Check my work. This is the assignment — not optional reading.
3. Guided practice
Try these with me — type the missing word, then check.
Reveal the thinking
Convert to decimals, place on the number line, and compare positions.
4. Independent practice
Work the set. Check when finished — this is practice (mastery quiz is next).
5. Mastery check
Scored quiz — results save to your gradebook.
Show the math — don't only tap a letter
The lab is the worked example you can move. Then the quiz checks that you own Integers refresh; absolute value; rationals on number line.
Classroom · Gradebook · Transcripts
Stay on this page. The studio, the lab, pictures, and Your work are the lesson.
6. Reflection / teach-back
Teach-back: Explain Integers refresh; absolute value; rationals on number line in your own words. Give one example and name the usual mistake.