6th grade Math
17 units matched to the Minnesota K-12 Academic Standards.
Focus areas
- Patterns and relationships: ratios and rates, dividing fractions, integers, and expressions and equations
- Spatial reasoning, data and probability: area, surface area and volume, unit conversions, and statistics
- 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.
Benchmark: 6.3.5.5 · 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.
Benchmark: 6.3.6.5; 6.3.6.6 · comparing quantities with ratios and solving ratio problems
Unit 3
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Benchmark: 6.3.5.9 · computing with 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.
Benchmark: 6.3.5.11; 6.3.6.2 · solving percent problems, and moving between fractions, decimals and percents
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.
Benchmark: 6.3.7.1 · relating two changing quantities with an equation, a table and a graph
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.
Benchmark: 6.3.6.4 · solving one-step equations
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.
Benchmark: 6.2.3.5 · the area of 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).
Benchmark: 6.2.3.2 · the volume of prisms
Unit 9
Probability
Writing probabilities as fractions for spinners, dice and marbles, comparing theoretical probability with experimental results, and making predictions from data.
Benchmark: 6.1.2.2; 6.1.2.3 · theoretical and experimental probability
Unit 10
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Benchmark: 6.3.5.1; 6.3.5.2; 6.3.5.6 · positive and negative numbers on the number line, and absolute value
Unit 11
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.
Benchmark: 6.3.6.3; 6.3.6.1 · expressions, equations and inequalities with variables
Unit 12
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Benchmark: 6.1.1.3; 6.1.1.4 · measures of center and variability, and showing data
Unit 13
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.
Benchmark: 6.3.5.4; 6.3.5.5 · prime factors with exponents, and common factors
Unit 14
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
Benchmark: 6.3.5.8 · dividing fractions and mixed numbers
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.
Benchmark: 6.3.5.2; 6.2.4.3 · graphing points in all four quadrants and finding lengths on the coordinate plane
Unit 16
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
Benchmark: 6.3.5.10; 6.2.3.3 · unit rates, and converting measurements
Unit 17
Nets & Surface Area
Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.
Benchmark: 6.2.3.1 · the surface area of prisms
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