Elias' Garden

Elias' garden develops foundations for:

🌱 Measurement

🌱 Fractions

🌱 Data Collection

🌱 Statistics

🌱 Probability

🌱 Functions

🌱 Rates of Change

🌱 Algebra

🌱 Scientific Modeling

🌱 Calculus Foundations

Gardens teach children one of the most important mathematical ideas:

Things change over time, and mathematics helps us understand that change.

Notice

• What do you see growing?

• Which plant catches your eye first?

• What animals can you find?

• Do the plants look healthy?

• Which plants look young?

Wonder

• Which plant will grow the tallest?

• How old do you think some of these plants are?

• How many birds visit this garden each day?

Mathematicians often measure things that change.

Questions

• How could we measure a plant?

• What could we use to measure it?

• How might we know if it grew tomorrow?

Wonder

• If this plant grows one inch each week, how tall might it be next month?

• Which plant might need the largest pot someday?

Future Mathematics

⭐ Units of Measurement

⭐ Rates of Change

⭐ Functions

Look at the different plants.

Questions

• Which plant is tallest?

• Which plant is shortest?

• Which plant looks newest?

• Which plant seems oldest?

Compare

• How do you know one plant is taller than another?

• Which plants seem to be growing fastest?

Future Mathematics

⭐ Measurement

⭐ Comparing Quantities

⭐ Data Analysis

Elias loves observing birds and animals.

Scientists collect data when they observe nature.

Questions

• How many birds can you find?

• How many butterflies?

• How many animals?

Create a Survey

Imagine spending one week (7 days) in the garden.

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Creature                          Number Seen

__________________________________

Birds

Butterflies

Rabbits

Cats

Dogs

Worms

Future Mathematics

⭐ Statistics

⭐ Scientific Research

⭐ Data Visualization

⭐ Repeated Addition - Multiplication

Garden Collection

Ask:

• What fraction of the plants are in pots?

• What fraction are planted in the ground?

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Parent Tip

Children do not need fraction symbols.

They simply need experience noticing relationships between parts and wholes.

Nature is filled with patterns.

Questions

• Do you notice repeating leaf shapes?

• Do some flowers look similar?

• Can you find symmetry?

​

Look Closely

• Are both sides of a leaf the same?

• Do flower petals repeat in a pattern?

​

Future Mathematics

⭐ Geometry

⭐ Symmetry

⭐ Pattern Recognition

Gardens naturally introduce positive and negative change.

Plant Growth

Ask:

• What happens when a plant grows?

• What happens when a plant loses leaves?

Explain:

Mathematicians sometimes use positive numbers for growth and negative numbers for loss.

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Temperature

Imagine a winter day.

Ask:

• What happens when temperatures drop below zero?

• How might that affect the plants?

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Future Mathematics

⭐ Integers

⭐ Climate Science

⭐ Financial Gains and Losses

Look at the animals.

Questions

• Which animal do you think Elias sees most often?

• Which animal might be hardest to find?

• Which creature is most likely to visit tomorrow?

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Prediction

• If you spent an hour in the garden, what might you see?

​

Future Mathematics

⭐ Probability

⭐ Prediction

⭐ Risk Assessment

Questions

• Will the plants be the same size next month?

• Which plant will change the most?

• Which plant will change the least?

​

Imagine

If we measured a plant every week:

• What would happen?

• Would the numbers stay the same?

• Would they increase?

​

Future Mathematics

⭐ Functions

⭐ Graphing

⭐ Calculus Foundations

Algebra begins when children think about relationships.

Ask:

• If every week a plant grows two new leaves, what happens after two weeks?

• What happens after three weeks?

• What if there are two plants growing at different speeds?

Children are beginning to reason about changing quantities.

That is algebra.

Instead of just asking:

❌ How tall is that plant?

Also Try:

✅ How could we figure out whether that plant is growing?

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Instead of just asking:

❌ How many birds do you see?

Also Try:

✅ If we watched the garden every day, what information could we collect?

​

The goal is not to test children.

The goal is to help them notice, compare, predict, and explain.

Choose a plant.

Measure or draw it once each week.

Ask:

• What changed?

• What stayed the same?

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Backyard Bird Count

Keep a tally of birds seen each day.

Create a graph at the end of the week.

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Seed Experiment

Plant two seeds.

Change one condition:

• more water

• less water

• more sunlight

Observe what happens.