6th Grade Math (Wisconsin Standards)

Ratios and Proportional Relationships (6.RP)

• M.6.RP.A.1 Understand ratios and use ratio language to describe how two quantities relate.
• M.6.RP.A.2 Understand a unit rate a/b for a ratio a:b and use rate language.
• M.6.RP.A.3 Use ratio and rate reasoning with tables, tape diagrams, double number lines or equations.
  • a. Make tables of equivalent ratios, find missing values and plot pairs.
  • b. Solve unit rate problems, including unit price and constant speed.
  • c. Treat a percent as a rate per 100 to find part of a quantity.
  • d. Use ratio reasoning to convert measurement units.

The Number System (6.NS)

• M.6.NS.A.1 Divide fractions by fractions, explain the result and solve word problems with models and equations.
• M.6.NS.B.2 Divide multi-digit whole numbers flexibly and efficiently with strategies or algorithms.
• M.6.NS.B.3 Compute with multi-digit decimals (all four operations) flexibly and efficiently.
• M.6.NS.B.4 Find the GCF of numbers up to 100 and the LCM of numbers up to 12; factor sums with the distributive property.
• M.6.NS.C.5 Understand positive and negative numbers as opposite quantities and explain what zero means in context.
• M.6.NS.C.6 Treat rational numbers as points on a number line and on the coordinate plane, including negatives.
  • a. Opposite signs lie on opposite sides of 0.
  • b. Signs of coordinates show quadrants and reflections.
  • c. Place integers and rational numbers on number lines and grids.
• M.6.NS.C.7 Order rational numbers and understand absolute value.
  • a. Read inequalities as positions on a number line.
  • b. Write and explain orderings in real contexts.
  • c. Understand absolute value as distance from 0.
  • d. Tell comparing absolute values apart from ordering.
• M.6.NS.C.8 Graph points in all four quadrants to solve problems, finding distances with coordinates and absolute value.

Expressions and Equations (6.EE)

• M.6.EE.A.1 Write and evaluate numerical expressions with whole-number exponents.
• M.6.EE.A.2 Write, read and evaluate expressions that use letters for numbers.
  • a. Write expressions for operations with letters.
  • b. Name parts of expressions using mathematical terms.
  • c. Evaluate expressions and formulas, following order of operations.
• M.6.EE.A.3 Use properties of operations to write equivalent expressions.
• M.6.EE.A.4 Identify when two expressions are equivalent for every value of the variable.
• M.6.EE.B.5 Understand solving as finding which values make an equation or inequality true, using substitution.
• M.6.EE.B.6 Use variables for unknowns or any number in a set when writing expressions for problems.
• M.6.EE.B.7 Solve problems with equations x + p = q and px = q for nonnegative rational numbers.
• M.6.EE.B.8 Write inequalities x > c or x < c for conditions and show their many solutions on a number line.
• M.6.EE.C.9 Use variables for two related quantities, write an equation linking them and relate it to tables and graphs.

Geometry (6.G)

• M.6.G.A.1 Find areas of triangles, special quadrilaterals and polygons by composing or decomposing shapes.
• M.6.G.A.2 Find volumes of prisms with fractional edges using unit cubes and the formulas V = lwh and V = Bh.
• M.6.G.A.3 Draw polygons on the coordinate plane and find side lengths from coordinates.
• M.6.G.A.4 Use nets of rectangles and triangles to represent 3D figures and find surface area.

Statistics and Probability (6.SP)

• M.6.SP.A.1 Recognize statistical questions as ones that expect variability in the data.
• M.6.SP.A.2 Understand that data have a distribution described by center, spread and shape.
• M.6.SP.A.3 Recognize that a measure of center summarizes data in one number and variation shows spread.
• M.6.SP.B.4 Display numerical data in dot plots, histograms and box plots.
• M.6.SP.B.5 Summarize numerical data in context.
  • a. Report the number of observations.
  • b. Describe what was measured and how.
  • c. Give center and variability and describe patterns.
  • d. Relate choice of measures to the data's shape.