M6N1: Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and percents using these concepts to solve problems.

M6N1.a: Apply factors and multiples.

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

M6N1.b: Decompose numbers into their prime factorization (Fundamental Theorem of Arithmetic)

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

M6N1.d: Add and subtract fractions and mixed numbers with unlike denominators.

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators

M6N1.e: Multiply and divide fractions and mixed numbers.

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

M6N1.f: Use fractions, decimals, and percents interchangeably.

Improper Fractions and Mixed Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

M6N1.g: Solve problems involving fractions, decimals, and percents.

Simple and Compound Interest

M6M2: Students will use appropriate units of measure for finding length, perimeter, area and volume and will express each quantity using the appropriate unit.

M6M2.b: Select and use units of appropriate size and type to measure length, perimeter, area and volume.

Fido's Flower Bed (Perimeter and Area)

M6M3: Students will determine the volume of fundamental solid figures (right rectangular prisms, cylinders, pyramids and cones).

M6M3.a: Determine the formula for finding the volume of fundamental solid figures.

Balancing Blocks (Volume)
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

M6M3.b: Compute the volumes of fundamental solid figures, using appropriate units of measure.

Balancing Blocks (Volume)
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

M6M3.c: Estimate the volumes of simple geometric solids.

Balancing Blocks (Volume)
Prisms and Cylinders - Activity A

M6M3.d: Solve application problems involving the volume of fundamental solid figures.

Balancing Blocks (Volume)
Prisms and Cylinders - Activity A

M6M4: Students will determine the surface area of solid figures (right rectangular prisms and cylinders).

M6M4.a: Find the surface area of right rectangular prisms and cylinders using manipulatives and constructing nets.

Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M6M4.b: Compute the surface area of right rectangular prisms and cylinders using formulae.

Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M6M4.c: Estimate the surface area of simple geometric solids.

Measuring Motion
Surface and Lateral Area of Prisms and Cylinders

M6M4.d: Solve application problems involving surface area of right rectangular prisms and cylinders.

Surface and Lateral Area of Prisms and Cylinders

M6G1: Students will further develop their understanding of plane figures.

M6G1.a: Determine and use lines of symmetry.

Holiday Snowflake Designer
Quilting Bee (Symmetry)

M6G1.b: Investigate rotational symmetry, including degree of rotation.

Holiday Snowflake Designer

M6G1.c: Use the concepts of ratio, proportion and scale factor to demonstrate the relationships between similar plane figures.

Toy Factory (Set Models of Fractions)

M6G2: Students will further develop their understanding of solid figures.

M6G2.a: Compare and contrast right prisms and pyramids.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

M6G2.b: Compare and contrast cylinders and cones.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M6G2.c: Interpret and sketch front, back, top, bottom and side views of solid figures.

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M6G2.d: Construct nets for prisms, cylinders, pyramids, and cones.

Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M6A1: Students will understand the concept of ratio and use it to represent quantitative relationships.

Part:Part and Part:Whole Ratios
Polling: Neighborhood

M6A2: Students will consider relations between varying quantities.

M6A2.a: Analyze and describe patterns arising from mathematical rules, tables, and graphs.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

M6A2.b: Use manipulatives or draw pictures to solve problems involving proportional relationships.

Polling: Neighborhood

M6A2.c: Use proportions (a/b=c/d) to describe relationships and solve problems, including percent problems.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Polling: Neighborhood
Proportions and Common Multipliers

M6A2.d: Describe proportional relationships mathematically using y = kx, where k is the constant of proportionality.

Determining a Spring Constant
Polling: Neighborhood

M6A2.e: Graph proportional relationships in the form y = kx and describe characteristics of the graphs.

Determining a Spring Constant

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.

Determining a Spring Constant
Polling: Neighborhood

M6A2.g: Use proportional reasoning (a/b=c/d and y = kx) to solve problems.

Determining a Spring Constant
Polling: Neighborhood

M6A3: Students will evaluate algebraic expressions, including those with exponents, and solve simple one-step equations using each of the four basic operations.

Modeling One-Step Equations - Activity A

M6D1: Students will pose questions, collect data, represent and analyze the data, and interpret results.

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.

Mascot Election (Pictographs and Bar Graphs)

M6D1.b: Using data, construct frequency distributions, frequency tables, and graphs.

Describing Data Using Statistics
Graphing Skills
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Populations and Samples
Stem-and-Leaf Plots

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.

Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

M6D1.d: Use tables and graphs to examine variation that occurs within a group and variation that occurs between groups.

Box-and-Whisker Plots
Graphing Skills
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

M6D1.e: Relate the data analysis to the context of the questions posed.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

M6D2: Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations.

M6D2.a: Predict the probability of a given event through trials/simulations (experimental probability), and represent the probability as a ratio.

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

M6D2.b: Determine, and use a ratio to represent, the theoretical probability of a given event.

Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability

M6D2.c: Discover that experimental probability approaches theoretical probability when the number of trials is large.

Geometric Probability - Activity A
Polling: City
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability