Math With AmarA C A D E M Y
← All learning paths

268 free lessons · A guided path

Algebra

Patterns become possibilities.

Start with numbers and fractions. Build equations, model change, and explore the structures behind algebra.

Explore the path ↓

Find a comfortable starting point

One subject. Many levels of understanding.

Start with a familiar idea and move forward when the reasoning feels clear. Each lesson states its prerequisites. Grade is your first guide; the stages below describe the challenge within this subject, rather than a single school year. Extension lessons introduce selected advanced topics.

STAGE 01

Foundations

Build intuition, name the quantities, and explain the basic idea.

85 lessons

STAGE 02

Developing

Connect familiar ideas and choose a useful representation for a problem.

78 lessons

STAGE 03

Intermediate

Combine methods, compare approaches, and justify the steps you take.

54 lessons

STAGE 04

Advanced

Use deeper tools and check the assumptions behind a model or argument.

38 lessons

STAGE 05

Extension

Meet selected university and research ideas after reviewing their prerequisites.

13 lessons

Your algebra lesson library

Choose the idea you want to explore.

Filter by grade or topic difficulty, or search for a particular skill. The collection includes every algebra lesson, with 12 shown at a time so you can browse at your own pace.

Showing 12 of 268 matching lessons · All free

Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Count every object once

Match one counting word to each object.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Zero means none

Use zero to describe an empty group.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

One more and one less

Find neighbors of a number by moving one counting step.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Compare groups by matching

Decide which group has more using pairs.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Put three counts in order

Order three whole numbers from least to greatest.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Positions in a line

Distinguish an object's position from a group's size.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

See five and some more

Use a group of five to recognize a total without recounting.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Find the missing part of ten

Compose ten from two smaller groups.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Teen numbers are ten and ones

Build a teen number from one ten and extra ones.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Addition joins two groups

Represent a joining story with an addition equation.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Count on from the larger part

Add a small number by counting forward from a known amount.

Read, practice, and reflect
Hands-on mathematics materials for exploring numbers, shapes, and measurementAlgebra

Grade 1 · Foundations 6 min

Build equal-pair doubles

Recognize a double as two equal addends.

Read, practice, and reflect

Give the idea a shape.

Move a slider and see the mathematics change in the visual lab.

Open the visual lab →