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Grade 6

Expressions, equations, and pattern rules

Recognize number patterns, write simple algebraic expressions, and solve one-step equations with understanding.

Category: Number Sense & Math Thinking 12 min Advanced
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Patterns often follow a rule. Expressions describe the rule, and equations help us solve for an unknown value in a balanced way.

Read and think

Open one card at a time, read the text together, and use the audio button when hearing the line once helps.

Read and think Text card

The pattern 5, 8, 11, 14 increases by 3 each time.

pattern rule

Look for how one term changes to the next.

Example: The rule is add 3.

Read and think Text card

If a number n is increased by 7, the expression can be written as n + 7.

expression

Expressions represent operations with a variable.

Example: n + 7 means seven more than n.

Read and think Text card

Solve x + 6 = 15.

equation

Ask what number makes the two sides equal.

Example: x = 9.

Read and think Text card

Algebra habit: Check your answer by putting it back into the equation.

verification step

Substitution shows whether the solution really works.

Example: Checking helps confirm equation answers.

More in this topic

These next steps stay in the same stage so the child does not get sent backward.

Grade 6

Ratios and unit rates

Use ratios to compare quantities and unit rates to find the value for one item or one unit.