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Create progressive printable practice with an answer key and differentiation options.

Example resultGrade 5 fractions — printable progression

Modelled example

2/3 + 1/4 = 8/12 + 3/12 = 11/12. Explain: 12 is a common multiple, so both fractions can be renamed without changing their values.

Guided practice

  • 1. Complete: 1/2 = __/6
  • 2. Add 1/2 + 1/3 using the provided denominator 6
  • 3. Find a common denominator for 3/4 + 1/6
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Try: “Fractions with unlike denominators, Grade 5, worked example plus eight tasks.”

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Worked example

Grade 5 fractions — printable progression

Grade 5 learners adding fractions with unlike denominators

Input

  • One modelled example
  • Eight progressive tasks
  • Answer key
  • Support and stretch options

Modelled example

2/3 + 1/4 = 8/12 + 3/12 = 11/12. Explain: 12 is a common multiple, so both fractions can be renamed without changing their values.

Guided practice

  • 1. Complete: 1/2 = __/6
  • 2. Add 1/2 + 1/3 using the provided denominator 6
  • 3. Find a common denominator for 3/4 + 1/6

Independent practice

  • 4. 2/5 + 1/3
  • 5. 7/8 − 1/6
  • 6. A fictional recipe scenario
  • 7. Correct a denominator-addition error
  • 8. Compare two solution methods

Differentiation

  • Support: denominator ladder and fraction strips
  • Stretch: choose the least common denominator and justify why it is efficient

Answer key

  • 1. 3/6
  • 2. 5/6
  • 3. 12
  • 4. 11/15
  • 5. 17/24
  • 6–8: include working and explanation criteria

Review before use: Print-preview the page, verify every answer, and check progression before use. The browser Print action does not create a stored PDF.

Worked example

Chemical equations progression

Grade 9 learners balancing simple equations

Input

  • Atom-count model
  • Coefficient-only correction
  • Answer key

Modelled example

H₂ + O₂ → H₂O has two oxygen atoms on the left and one on the right. Put 2 before H₂O, then 2 before H₂: 2H₂ + O₂ → 2H₂O.

Guided practice

  • 1. Complete the coefficient: __Mg + O₂ → 2MgO
  • 2. Count each element before balancing: N₂ + H₂ → NH₃

Independent practice

  • 3. Balance N₂ + H₂ → NH₃
  • 4. Balance Na + Cl₂ → NaCl
  • 5. Balance Al + O₂ → Al₂O₃
  • 6. Correct the invalid change H₂ + O₂ → H₂O₂

Answer key

  • 1. 2
  • 2. Left: N 2, H 2; right: N 1, H 3
  • 3. N₂ + 3H₂ → 2NH₃
  • 4. 2Na + Cl₂ → 2NaCl
  • 5. 4Al + 3O₂ → 2Al₂O₃
  • 6. 2H₂ + O₂ → 2H₂O; coefficients preserve each substance’s formula

Review before use: Verify notation and avoid unsafe or misleading practical contexts.

Worked example

Reading inference worksheet

Grade 6 readers using evidence from an original short passage

Input

  • Original passage
  • Literal-to-inference progression
  • Evidence sentence frames

Original passage

Leila checked the library clock again and moved the unopened envelope beneath her notebook. When the door opened, she smiled quickly, but her hand stayed on the notebook.

Questions

  • 1. Where is Leila?
  • 2. Underline one detail showing that she is waiting for someone.
  • 3. What might Leila be concerned about? Use one clue.
  • 4. Which is better supported: she wants to hide the envelope, or she has forgotten it? Explain.
  • 5. Write a two-sentence conclusion using evidence from the passage.

Answer guide

  • 1. In a library
  • 2. She checks the clock or reacts when the door opens
  • 3. Accept a plausible concern tied to the envelope, waiting, or concealment
  • 4. Hiding is better supported because she moves it under the notebook and keeps her hand there
  • 5. Must separate the inference from the quoted or paraphrased clue

Review before use: Check that every inference is supported by the text and that the passage is original and culturally clear.

What to review before using the result

  • Model and tasks use the same method
  • Difficulty changes gradually
  • Instructions and spacing are print-readable
  • Answer key contains working or evidence
  • Support and stretch preserve the same objective

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