Demonstrates Competency in Advanced Content Mathematics

Demonstrates Competency in Advanced Content Mathematics

Grade 6

Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Process Skills
Reasons and solves problems using mathematics / -Solve problems using appropriate strategies
-Reason and evaluate mathematical arguments
-Represent mathematical ideas in multiple ways / Common Assessments:
- Exemplars
Beginning of year: Easter Bunny Fractions
End of the year: Distribution Dilemma
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Communicates coherently and clearly using the language of mathematics / -Communicate critical thinking skills mathematically both written and orally
-Connect mathematical ideas both inside and outside the discipline / Common Assessments:
- Exemplars
Beginning of year: Easter Bunny Fractions
End of the year: Distribution Dilemma
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Number and Operations
Applies factors, multiples, and prime factorization
M6N1a.b.c

M8N1a.b

/ -Apply LCM and GCF in problem solving situations
-Determine the prime factorization of various numbers.
-Find square roots of perfect squares
-Recognize the positive square root of a number as a length of a side of a square with a given area / Ongoing / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Exemplar: Locker Dilemma
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
-Exemplar: Checkerboard Dilemma
Adds and subtracts common fractions and mixed numbers with unlike denominators
M6N1d / -Solve problems that require adding and subtracting fractions and mixed numbers with unlike denominator
-Records all answers in simplest form when applicable / Ongoing / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Multiplies and divides fractions and mixed numbers
M6N1e / -Solve problems that require multiplying and/or dividing mixed numbers
-Record all answers in simplest form when applicable / Ongoing / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Uses fractions, decimals, and percents interchangeably
M6N1f.g / -Use fractions, decimals, and percents interchangeably within various problem solving situations / Ongoing / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators /
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Measurement /
Converts measures from one unit to another using proportional relationships
M6M1 / N/A / - Use proportional relationships to convert measurements within the same unit system / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Measures accurately and uses appropriate units of measure
M6M2a.b.c / N/A / N/A / -Measure fractional parts of an inch, including 1/2, 1/4, 1/8, and 1/16
-Determine and use appropriate units to measure various objects
-Compare/Contrast linear, square and cubic units of measure / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Determines volume of solid figures
M6M3a.b.c.d / N/A / N/A / -Develop and use the formula to find the volume of various geometric solids
-Estimate the volume of solids
-Solve application problems involving volume using volume formula / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Determines surface area of solid figures
M6M4a.b.c.d / N/A / N/A / -Use nets and manipulative to determine surface area of solid figures
-Estimate the surface area of solids
- Solve application problems involving surface area using surface area formula / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Geometry
Determines and uses symmetry
M6G1a.b / N/A / N/A / -Determine and use lines of symmetry
-Investigate rotational symmetry including determining degree of rotation
-Solve application problems using symmetry / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Uses ratio, proportions, and scale factor to demonstrate geometric relationships
M6G1c.d.e

M7G3 a.c

/ N/A / -Develop scale models and/or drawings of real-world objects composed of geometric figures
-Analyze proportional relationships between multiple objects using ratios & proportions
-Understand the meaning of similarity and describe similarities by listing corresponding parts (7th)
-Understand congruency as a special case of similarity (7th) / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
- Earth layers scale model
- Real/Model/Matchbox
Cars Activity
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Compares and contrasts prisms, cylinders, pyramids, and cones
M6G2a.b.c.d

M7G4b

/ N/A / N/A / -Compare/contrast various geometric solids
-Interpret, construct, and sketch various views of geometric solids
-Sketch, model, and describe cross-sections of cones, cylinders, pyramids, and prisms (7th) / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Algebra
Uses ratios and proportions in different ways to solve problems (including percent problems)
M6A1
M6A2a.b.c.d.e.f.g
M7A3a / -Solve percent problems using proportions / --Solve percent problems (ongoing)
-Understand the concept of ratio and use it to represent quantitative relationships
-Analyze and describe patterns found in tables, charts, and graphs
-Use manipulative or solve problems involving proportional relationships
-Explain the relationship of and solve problems with the proportional relationship y=kx
-Graph and be able to explain characteristics found from the equation y=kx
-Plot points on a coordinate plane (7th) / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Uses algebra to evaluate algebraic expressions and solve one-step equations
M6A3

M7A2b

M7N1 c

/ N/A / -Evaluate algebraic expressions using each of the four basic operations also including exponents
-Use the addition and multiplication properties of equality to solve one-and two- step linear equations
-Add and Subtract positive and negative integers using manipulatives (7th) / Ongoing / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Data Analysis
Gathers, organizes, displays and analyze data to answer questions
M6D1a.b.c.d.e

M7D1c

/ N/A / N/A / -Collect data from large population using appropriate questions
-Construct frequency distributions and tables with data
-Create appropriate graphs using collected data
- Analyze variations that occur within and between data
- Relate the data analyses to the context of the questions posed
-Analyze data using measures of central tendency including recognitions of outliers (7th) / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work
Performance Indicators
Learning Standards / 1st / 2nd / 3rd / 4th / Possible Evidence
Uses experimental and theoretical probability
M6D2a.b.c / N/A / N/A / -Using simulations and trials express the probability of a given event
- Determine the relationship between experimental and theoretical probability / Synthesis of concepts / Common Assessments:
- Test
- Performance Assessment
Other Possible Evidence:
- Check Ups
- Journal Writing/Writing
Prompts
- ACE Questions
- Ticket out the Door
- Slate Board Work
- Observations
- Student
Interviews/Conversations
- Various classroom work