FutureStepsSign in 4th grade learning.
Make the idea click.
Fourth-grade learning connects different representations of the same idea. Fractions, decimals, measurements and evidence in a text all invite a closer look at what changes and what stays the same.
Try the worked exampleKeep the whole the same
When comparing fraction drawings, first check that the wholes are equal in size. Splitting a shaded half into smaller parts changes the count of pieces without changing the amount shaded. Explain both changes together before using a rule.
Did the amount change, or did we change how we counted the parts?
Explore 4th grade subjects.
Mathematics
Selected starter topics
Reason about large numbers, decimals, fractions, division, patterns, angles and measurements.
- Multiply with partial products
- Different fractions, same amount
- Choose area or perimeter
English language arts
Selected starter topics
Explore word meanings, story structure, poetry, drama, comparisons, arguments and clear sentences.
- Use context to understand a word
- Summarize the important ideas
- Explain how a character changes
Science
Selected starter topics
Investigate matter, forces, circuits, Moon patterns, changing land and living systems.
- The Sun powers the water cycle
- Conductors and insulators
- Food webs and decomposers
Social studies
Selected starter topics
Explore Texas history, government, trade and environmental choices using evidence.
- Compare Texas regions
- Read a Texas timeline
- Ask questions about historical sources
These examples come from FutureSteps’ Texas starter collection. They introduce selected topics and support review; they are not a complete curriculum, school assessment or course credit.
Different fractions, same amount
Explain why two fractions can name the same amount of one whole.
Equivalent fractions name the same amount. Compare parts of the same whole, or same-sized wholes, so the comparison is fair.
When each part is divided into the same number of smaller equal parts, the amount stays the same. Both the numerator and denominator increase by that factor. Multiplying just one of them changes the fraction’s value.
A strip is divided into 2 equal parts and 1 is shaded. How can you show that ?
- Draw a strip with two equal sections and shade one. The shaded amount is one half of the whole strip.
- Split each section in half without adding or removing shading. Now the strip has four equal sections, and two are shaded.
- Write . Both counts doubled: ()/() = . The smaller parts give the same shaded amount a different name.
Your turn.
Which fraction is equivalent to of the same whole?
Show the answer and explanation
Split each third into two equal parts. Two shaded thirds become four shaded sixths: ()/() = .
Example from the FutureSteps Mathematics starter collection. Course reference: Texas TEKS · Grade 4 Mathematics. The example is app-authored; the reference does not imply endorsement or complete coverage.
A routine to try next.
- Draw two equal-sized strips and shade the same amount in each.
- Divide one strip into halves and the other into fourths; label the shaded parts.
- Explain why the names differ even though the shaded amount is equal.
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Questions before you begin.
Why does the social studies collection include Texas history?
The current learning-path collection uses Texas course references. Fourth-grade social studies includes Texas history and geography. Families elsewhere can use relevant examples, but should follow their own school's sequence and requirements.
How does the in-app learning path build on these examples?
Eligible students choose a supported state, grade and courses. Lessons include explanations, worked examples and quick checks. Students can save Notes, mark their own progress and ask Study about a lesson when they have access. Progress labels reflect the student's selections, not a school grade or a mastery assessment.