Grade 6 | Unit 1 Student Learning Book
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An original grade-labeled starting unit in five academic and Scripture subjects. Each subject contains direct teaching and ten exercises. This is a first unit, not a completed chapter sequence or full annual textbook. Any child may be ready for a higher-grade challenge in one subject while working at another level elsewhere.
Instructions: Read the explanation and passage, if provided. Complete the ten numbered tasks on paper or copy into a document. Explain how you reached an answer. Parents check learning separately and privately.
Mathematics: Ratios, rates and signed numbers
Learn: A ratio compares quantities. A unit rate gives a comparison per one unit. If 12 miles are traveled in 3 hours, the average rate is 4 miles per hour. Signed numbers locate quantities above and below zero.
- Simplify ratio 18:30.
- Solve 3/5=x/40.
- Find rate for 150 miles in 3 hours.
- Order -4,-9,0,3.
- Compute -7+12.
- Compute -5-8.
- Compute 2/3 divided by 1/6.
- Evaluate 4x+7 when x=5.
- Find area of a triangle with base 12 and height 5.
- Advanced: write and solve a two-step real-world unit-rate problem with proper units.
Independent check: Explain one solution with evidence, then review errors and try an unfamiliar problem. Advanced work is available by readiness, not birthday.
English Language Arts: Claims, counterclaims and source credibility
Original reading: Original passage: ‘The town proposed a later library closing time. One resident expected more visitors. A librarian noted that staffing costs might rise. Both wanted reliable attendance and budget data before deciding.’
Learn: Argument analysis asks what a person claims, what evidence exists and what remains unknown. A counterclaim deserves fair representation without pretending unsupported claims are facts.
- Identify the proposal.
- State the resident’s expectation.
- State the librarian’s concern.
- Which data would help?
- Identify a claim that has not been established.
- Write a neutral summary.
- Write a paragraph supporting one policy with hypothetical reasoning clearly labeled.
- Write a thoughtful counterclaim.
- Explain what would make an attendance source reliable.
- Advanced: write a short argument with cited evidence and two limitations.
Independent check: Explain one solution with evidence, then review errors and try an unfamiliar problem. Advanced work is available by readiness, not birthday.
Science: Controlled experiments and data
Learn: A controlled experiment plans one independent variable, measures a dependent variable and attempts to keep other relevant conditions consistent. Replication and uncertainty matter. Fictional data are useful for mathematics practice but cannot be described as observed results.
- Write a testable question about a toy car’s movement.
- Identify one independent variable.
- Identify one dependent variable.
- List three controlled conditions.
- For fictional data 4,6,8,10,12 calculate the mean.
- Find the range of those data.
- Explain why a sample of one may be unreliable.
- Describe a possible confounder.
- Write a claim supported by only the given fictional data.
- Advanced: draft a replication plan and explain limits of causal inference.
Independent check: Explain one solution with evidence, then review errors and try an unfamiliar problem. Advanced work is available by readiness, not birthday.
History and Social Studies: Historical geography and ancient civilizations
Learn: Historians study ancient societies using archaeology, texts and geographical evidence. Dates and interpretations depend on source quality. Communities developed in many regions, including major river valleys; complex histories cannot be reduced to one invention or one ruler.
- Name one type of archaeological source.
- Explain what an artifact can reveal.
- Explain what an artifact cannot prove alone.
- Locate a historical river valley using a reliable map.
- State why rivers can support settlement.
- Distinguish written evidence from interpretation.
- Describe why dating a source matters.
- Choose one ancient society and cite a reputable museum article.
- Write a timeline of three verified developments.
- Advanced: compare interpretations from two scholarly sources.
Independent check: Explain one solution with evidence, then review errors and try an unfamiliar problem. Advanced work is available by readiness, not birthday.
Scripture Study: Wisdom and evidence
Read in context: Proverbs 18:13–17; Deuteronomy 19:15–19
Study note: Read each passage in context. The proverb concerns listening and testimony; Deuteronomy addresses legal testimony and judicial procedures in Israel. Do not flatten them into identical genres.
- Summarize Proverbs 18:13.
- Describe the emphasis of Proverbs 18:17.
- Identify the judicial setting in Deuteronomy 19.
- What does Deuteronomy say about witnesses?
- Explain why false testimony is serious.
- Identify one difference in literary genre.
- Identify one similar ethical concern.
- Cite the precise verses supporting a claim.
- Write a careful modern application.
- Advanced: compare two interpretive possibilities without adding unwritten laws.
Independent check: Explain one solution with evidence, then review errors and try an unfamiliar problem. Advanced work is available by readiness, not birthday.