30 free lessons · Worked examples and practice
Grade 6 math
Make the transition from arithmetic to algebra through ratios, expressions, signed numbers, and equations. Connect these ideas to geometry and data so the symbols describe something meaningful.
Your study guide
What you will explore.
- Use ratios, rates, and numerical expressions
- Work with signed numbers and simple equations
- Interpret geometry and statistical summaries
Before you begin
Be ready to multiply and divide whole numbers, fractions, and decimals. Review equivalent fractions before starting ratios or rates.
Review Grade 5How to study these lessons
Name each quantity before writing an expression. Use a table, number line, or diagram to check that your equation represents the situation correctly.
Work at your own pace. Open a hint when you need it, then try again before revealing the complete explanation.
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750 guided practice chapters for Grade 6.
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Your Grade 6 lesson collection.
The lessons appear in their suggested study order. Choose the first lesson for a starting point, or use the search and subject filters to review a particular skill. Read the prerequisites whenever you change topics.
Showing 12 of 30 matching lessons · All free
AlgebraGrade 6 · Developing 10 min
Distinguish part-to-part from part-to-whole
State what each side of a ratio compares.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Build a table of equivalent ratios
Scale both entries of a ratio by a common factor.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Compare rates per one unit
Calculate and compare unit rates with clear units.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Find a percentage of a quantity
Convert a percent to a multiplier and apply it to a specified whole.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Recover a whole from a percentage part
Solve for a reference amount when a part and its percent are known.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Divide by a fractional measure
Interpret and compute the ratio of two fractional quantities.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Use negative numbers relative to a reference
Interpret a signed value as a position relative to zero.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Order positive and negative values
Compare signed numbers using their positions on a number line.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Absolute value measures distance from zero
Distinguish a signed position from its nonnegative distance to zero.
Read, practice, and reflectAlgebraGrade 6 · Developing 10 min
Opposite numbers reflect across zero
Find additive opposites and distinguish them from reciprocals.
Read, practice, and reflectGeometryGrade 6 · Developing 10 min
Plot points in all four quadrants
Interpret the signs of both coordinates.
Read, practice, and reflectGeometryGrade 6 · Developing 10 min
Find horizontal or vertical coordinate distance
Use coordinate differences for points sharing one coordinate.
Read, practice, and reflect