IXL Math - Georgia sixth-grade math standards

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Skills available for Georgia sixth-grade math standards

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6.M6N Number and Operations

6.M6N1 Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems.
6.M6N1.a Apply factors and multiples.
- Number theory: Identify factors (Sixth grade - N.3)
6.M6N1.b Decompose numbers into their prime factorization (Fundamental Theorem of Arithmetic)
- Number theory: Prime factorization (Sixth grade - N.4)
6.M6N1.c Determine the greatest common factor (GCF) and the least common multiple (LCM) for a set of numbers.
6.M6N1.d Add and subtract fractions and mixed numbers with unlike denominators.
6.M6N1.e Multiply and divide fractions and mixed numbers.
6.M6N1.f Use fractions, decimals, and percents interchangeably.
6.M6N1.g Solve problems involving fractions, decimals, and percents.

6.M6M Measurement

6.M6M1 Students will convert from one unit to another within one system of measurement (customary or metric) by using proportional relationships.
6.M6M2 Students will use appropriate units of measure for finding length, perimeter, area and volume and will express each quantity using the appropriate unit.
6.M6M2.a Measure length to the nearest half, fourth, eighth and sixteenth of an inch.
6.M6M2.b Select and use units of appropriate size and type to measure length, perimeter, area and volume.
- Measurement: Estimate customary and metric measurements (Sixth grade - X.1)
6.M6M2.c Compare and contrast units of measure for perimeter, area, and volume.
6.M6M3 Students will determine the volume of fundamental solid figures (right rectangular prisms, cylinders, pyramids and cones).
6.M6M3.a Determine the formula for finding the volume of fundamental solid figures.
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M6M3.b Compute the volumes of fundamental solid figures, using appropriate units of measure.
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M6M3.c Estimate the volumes of simple geometric solids.
- Measurement: Estimate customary and metric measurements (Sixth grade - X.1)
6.M6M3.d Solve application problems involving the volume of fundamental solid figures.
6.M6M4 Students will determine the surface area of solid figures (right rectangular prisms and cylinders).
6.M6M4.a Find the surface area of right rectangular prisms and cylinders using manipulatives and constructing nets.
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M6M4.b Compute the surface area of right rectangular prisms and cylinders using formulae.
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M6M4.c Estimate the surface area of simple geometric solids.
6.M6M4.d Solve application problems involving surface area of right rectangular prisms and cylinders.

6.M6G Geometry

6.M6G1 Students will further develop their understanding of plane figures.
6.M6G1.a Determine and use lines of symmetry.
- Geometry: Symmetry (Sixth grade - Y.17)
6.M6G1.b Investigate rotational symmetry, including degree of rotation.
- Geometry: Symmetry (Sixth grade - Y.17)
6.M6G1.c Use the concepts of ratio, proportion and scale factor to demonstrate the relationships between similar plane figures.
- Geometry: Find side lengths of similar figures (Sixth grade - Y.15)
6.M6G1.d Interpret and sketch simple scale drawings.
- Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
6.M6G1.e Solve problems involving scale drawings.
- Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
6.M6G2 Students will further develop their understanding of solid figures.
6.M6G2.a Compare and contrast right prisms and pyramids.
- Geometry: Identify polyhedra and count faces, edges, and vertices (Sixth grade - Y.24)
- Geometry: Which figure is being described? (Sixth grade - Y.25)
6.M6G2.b Compare and contrast cylinders and cones.
- Geometry: Identify polyhedra and count faces, edges, and vertices (Sixth grade - Y.24)
- Geometry: Which figure is being described? (Sixth grade - Y.25)
6.M6G2.c Interpret and sketch front, back, top, bottom and side views of solid figures.
- Geometry: Front, side, and top view (Sixth grade - Y.26)
6.M6G2.d Construct nets for prisms, cylinders, pyramids, and cones.
- Geometry: Nets of 3-dimensional figures (Fifth grade - B.10)

6.M6A Algebra

6.M6A1 Students will understand the concept of ratio and use it to represent quantitative relationships.
- Ratios, proportions, and percents: Write a ratio to describe objects in a picture (Sixth grade - Z.1)
- Ratios, proportions, and percents: Equivalent ratios (Sixth grade - Z.2)
6.M6A2 Students will consider relationships between varying quantities.
6.M6A2.a Analyze and describe patterns arising from mathematical rules, tables, and graphs.
6.M6A2.b Use manipulatives or draw pictures to solve problems involving proportional relationships.
6.M6A2.c Use proportions (a/b=c/d) to describe relationships and solve problems, including percent problems.
6.M6A2.d Describe proportional relationships mathematically using y = kx, where k is the constant of proportionality.
- Algebra: Write linear functions (Sixth grade - P.10)
6.M6A2.e Graph proportional relationships in the form y = kx and describe characteristics of the graphs.
- Coordinate graphing: Graph linear functions (Sixth grade - Q.5)
6.M6A2.f In a proportional relationship expressed as y = kx, solve for one quantity given values of the other two. Given quantities may be whole numbers, decimals, or fractions. Solve problems using the relationship y = kx.
- Algebra: Solve word problems involving two-variable equations (Sixth grade - P.3)
6.M6A2.g Use proportional reasoning (a/b=c/d and y = kx) to solve problems.
6.M6A3 Students will evaluate algebraic expressions, including those with exponents, and solve simple one-step equations using each of the four basic operations.

6.M6D Data Analysis and Probability

6.M6D1 Students will pose questions, collect data, represent and analyze the data, and interpret results.
6.M6D1.a Formulate questions that can be answered by data. Students should collect data by using samples from a larger population (surveys), or by conducting experiments.
6.M6D1.b Using data, construct frequency distributions, frequency tables, and graphs.
6.M6D1.c Choose appropriate graphs to be consistent with the nature of the data (categorical or numerical). Graphs should include pictographs, histograms, bar graphs, line graphs, circle graphs, and line plots.
- Charts and graphs: Choose the best type of graph (Sixth grade - R.14)
6.M6D1.d Use tables and graphs to examine variation that occurs within a group and variation that occurs between groups.
- Charts and graphs: Stem-and-leaf plots (Sixth grade - R.3)
6.M6D1.e Relate the data analysis to the context of the questions posed.
6.M6D2 Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations.
6.M6D2.a Predict the probability of a given event through trials/simulations (experimental probability), and represent the probability as a ratio.
- Probability: Make predictions (Sixth grade - AA.3)
6.M6D2.b Determine, and use a ratio to represent, the theoretical probability of a given event.
- Probability: Probability of one event (Sixth grade - AA.2)
6.M6D2.c Discover that experimental probability approaches theoretical probability when the number of trials is large.