6th grade Math
17 units matched to the California Content Standards.
Focus areas
- Number and operations: ratios and rates, negative numbers, and expressions
- Measurement, data and geometry: shapes, measuring and reading data
- Mathematical practices: making sense of problems and explaining reasoning
Units
Unit 1
Facts & Factors
Quick recall of multiplication and division facts, plus factors, multiples and prime numbers, the greatest common factor (GCF) and least common multiple (LCM), and word problems that use them.
Learning standard: 6.NS.4 · greatest common factor and least common multiple
Unit 2
Mixed Numbers & Ratios
Switching between improper fractions (like 13/5) and mixed numbers (2 3/5), placing them on a number line, and writing and using ratios such as 3:4 in tables and word problems.
Learning standard: 6.RP.1 · ratio language and ratio relationships
Unit 3
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Learning standard: 6.NS.3 · adding, subtracting, multiplying and dividing multi-digit decimals
Unit 4
Percents & Budgets
Finding percents of amounts, working out sale prices and savings, comparing unit prices to find the better buy, and planning a simple budget and savings goal.
Learning standard: 6.RP.3 · solving percent and rate problems with ratio reasoning
Unit 5
Patterns & Graphs
Describing growing and shrinking patterns with rules like 3n + 2, using tables and graphs to predict values, and reading change over time from line graphs.
Learning standard: 6.EE.9 · relating two quantities with tables, graphs and equations
Unit 6
Equations
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Learning standard: 6.EE.5; 6.EE.7 · solving one-step equations of the form x + p = q and px = q
Unit 7
Perimeter & Area
Finding the perimeter of L-shapes and other polygons, and the area of triangles (b × h ÷ 2), parallelograms (b × h) and trapezoids ((a + b) × h ÷ 2), including working backwards to a missing measurement.
Learning standard: 6.G.1 · area of triangles, quadrilaterals and other polygons
Unit 8
Volume & Capacity
Finding the volume of rectangular prisms, converting between liters and milliliters, and connecting volume to capacity (1 cm³ holds 1 mL).
Learning standard: 6.G.2 · volume of right rectangular prisms
Unit 9
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Learning standard: 6.NS.5; 6.NS.6; 6.NS.7 · positive and negative numbers on the number line, ordering and absolute value
Unit 10
Algebra Moves
Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.
Learning standard: 6.EE.2; 6.EE.8 · evaluating expressions with letters for numbers and writing inequalities of the form x > c or x < c
Unit 11
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Learning standard: 6.SP.4; 6.SP.5 · displaying numerical data and describing its center and spread
Unit 12
Powers and Common Factors
Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.
Learning standard: 6.EE.1 · writing and evaluating numerical expressions with whole-number exponents
Unit 13
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
Learning standard: 6.NS.1 · interpreting and computing quotients of fractions and solving problems with fraction division
Unit 14
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
Learning standard: 6.SP.1; 6.SP.3; 6.SP.5 · recognizing statistical questions and summarizing data with measures of center and variability
Unit 15
Four Quadrants
Plotting and naming points in all four quadrants, reflecting points across an axis, and finding distances and areas on the coordinate plane.
Learning standard: 6.NS.8; 6.G.3; 6.NS.6 · graphing points in all four quadrants and finding the length of a side with a shared coordinate
Unit 16
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
Learning standard: 6.RP.2; 6.RP.3 · finding unit rates, using rate tables, and converting measurement units with ratio reasoning
Unit 17
Nets & Surface Area
Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.
Learning standard: 6.G.4 · representing three-dimensional figures with nets and using them to find surface area
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