6th Grade Math (Montana Content Standards)

Ratios and Proportional Relationships (RP)

• MT.6.RP.1 Understand ratios and use ratio language to describe how two quantities relate.
• MT.6.RP.2 Understand unit rates linked to ratios and use rate language.
• MT.6.RP.3 Solve proportion problems with unit rates, percents and measurement units, including cultural contexts.

The Number System (NS)

• MT.6.NS.1 Divide fractions by fractions and solve problems in context.
• MT.6.NS.2 Divide multi-digit numbers accurately and efficiently with the standard algorithm.
• MT.6.NS.3 Use the standard algorithm for all four operations with multi-digit decimals.
• MT.6.NS.4 Find greatest common factors and least common multiples and use the distributive property with common factors.
• MT.6.NS.5 Use positive and negative numbers for opposite quantities and explain what zero means in context.
• MT.6.NS.6 Place rational numbers on number lines and coordinate planes and link sign changes to reflections.
• MT.6.NS.7 Order rational numbers, see absolute value as distance from zero and explain inequality statements.
• MT.6.NS.8 Graph in all four quadrants and find distances between points, using cultural contexts.

Expressions and Equations (EE)

• MT.6.EE.1 Write and evaluate numerical expressions with whole-number exponents.
• MT.6.EE.2 Write, name the parts of and evaluate expressions with variables, including formulas.
• MT.6.EE.3 Use properties of operations to write equivalent expressions and decide when expressions are equivalent.
• MT.6.EE.4 Use substitution to test whether a number from a set makes an equation or inequality true.
• MT.6.EE.5 Use variables for unknown numbers or numbers in a set when writing expressions in context.
• MT.6.EE.6 Write and solve x + p = q and px = q for nonnegative rational numbers.
• MT.6.EE.7 Write inequalities x > c or x < c and graph their solutions on number lines.
• MT.6.EE.8 Analyze two changing quantities with graphs and tables and write equations linking them, including cultural contexts.

Geometry (G)

• MT.6.G.1 Find areas of triangles, quadrilaterals and polygons by combining or splitting shapes, including cultural contexts.
• MT.6.G.2 Find the volume of rectangular prisms with fraction edges using small cubes and formulas.
• MT.6.G.3 Draw polygons from vertex coordinates and find lengths of horizontal or vertical sides.
• MT.6.G.4 Use nets of rectangles and triangles to find surface area in context, including cultural contexts.

Statistics and Probability (SP)

• MT.6.SP.1 Recognize a statistical question as one that expects and allows for variability in data.
• MT.6.SP.2 Describe a data distribution by its center, spread and overall shape, including cultural contexts.
• MT.6.SP.3 Know that a measure of center and a measure of variation each sum up data in one number.
• MT.6.SP.4 Display number data in dot plots, histograms or box plots and describe patterns and outliers.
• MT.6.SP.5 Summarize a sample by its size, how it was measured and suitable measures of center and variability.