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St, Anastasia School |
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GRADE 6 |
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Mathematics - Grade 6 |
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Operations: Operation Sense
The learner will be able to
develop an understanding of operations and their effects.
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Operations: Concepts
The learner will be able to
display, illustrate, and/or relate to others, a comprehension of operation concepts.
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Computation: Proficiency
The learner will be able to
exhibit proficiency when performing computational procedures.
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Order of Operations
The learner will be able to
demonstrate an understanding of the standard algebraic order of operations.
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Order of Operations: Determine
The learner will be able to
determine the correct order of calculations when more than one operation is to be performed.
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Order of Operations: Apply
The learner will be able to
correctly use the rules for order of operations.
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Equations: Create/One Variable
The learner will be able to
create a one variable equation.
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Inequalities: Concept
The learner will be able to
understand the concepts of inequalities.
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Expressions: Represent
The learner will be able to
interpret expressions using models and manipulatives.
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Operations: Properties/Relationships
The learner will be able to
display comprehension of the properties and/or relationships of operations.
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Operations: Problem Solving
The learner will be able to
use the procedures of operations to obtain problem solutions.
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Algebraic Concepts: Representations
The learner will be able to
identify algebraic illustrations of problem scenarios.
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Algebraic Concepts: Procedures
The learner will be able to
understand algebraic procedures.
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Algebraic Concepts: Problem Solving
The learner will be able to
use algebraic methods to solve mathematical problems.
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Variable
The learner will be able to
understand the basic concept of a variable as representing an unknown quantity.
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Computation: Real World Problems
The learner will be able to
obtain solutions to real world problems that involve computations.
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Line Graphs: Identify/Compare/Analyze
The learner will be able to
identify, compare, and analyze points on a line graph.
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Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table.
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Table/Graph: Properties/Relationships
The learner will be able to
identify properties and relationships from tables and graphs.
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Graphing: Construct/Finish/Data Display
The learner will be able to
construct and/or finish a data display.
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Circle Graphs: Draw Conclusion/Interpret
The learner will be able to
draw logical conclusions from interpreting data in a circle graph.
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Bar Graphs: Analyze/Simple Stacked
The learner will be able to
analyze simple stacked graphs (bar and pictographs).
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Line Graphs: Estimate/Extrapolation
The learner will be able to
estimate unknown values from a line graph through extrapolation presented in both mathematical and real world contexts.
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Multiplication Story Problems
The learner will be able to
solve real world story problems by determining that multiplication is required, by regrouping the numbers, and by multiplying the appropriate decimals up to the hundredths position.
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Money: Story Problems/Add/Subtract
The learner will be able to
solve story problems which involve the addition and subtraction of money amounts written in decimal form.
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Money: Story Problems/Multiply/Divide
The learner will be able to
solve story problems which involve the multiplication and division of money amounts written in decimal form.
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Division Story Problems
The learner will be able to
solve story problems by dividing decimals up to the hundredths position.
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Compare Decimals: Up to 0.0001
The learner will be able to
compare decimals up to the ten-thousandths place (0.0001).
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Subtraction: Solve/Story Problems
The learner will be able to
subtract two fractions, either mixed fractions, same denominators, or with different denominators, in the context of a story problem.
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Multiplication: Fractional Parts
The learner will be able to
utilize multiplication of fractions to determine the fractional part of a whole number.
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Division: Solve/Real World
The learner will be able to
solve real world scenario problems where the division of fractions, mixed fractions, and whole numbers is involved.
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Compare Fractions: To 1
The learner will be able to
compare a fraction to 1.
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Problem Solving: Functions/Patterns
The learner will be able to
apply functions and/or patterns in the representation and/or solving of problems.
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Functional Relationships: Comprehend
The learner will be able to
display comprehension of functional relationships.
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Inductive/Deductive
The learner will be able to
identify and use the techniques of inductive and deductive reasoning in problem solving situations.
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Spatial Thinking: Visualization
The learner will be able to
visualize and describe the outcome of folding geometric figures a variety of ways.
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Spatial Thinking: Manipulatives
The learner will be able to
practice modeling, drawing, and explaining shapes and their properties using manipulatives and exploring the shapes in a real world context.
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Spatial Relationships: Comprehend
The learner will be able to
display comprehension of spatial relationships and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
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Exploring Spatial Concepts
The learner will be able to
apply manipulatives in the investigation of spatial relationships and/or patterns, and to illustrate geometric problems.
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Parallel/Perpendicular: Properties
The learner will be able to
identify and apply properties of both perpendicular and parallel lines.
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Figures: Join/Separate
The learner will be able to
investigate breaking up and putting together various shapes to make new shapes and/or tessellations.
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Congruence/Similarity: Classification
The learner will be able to
classify figures by congruence and/or similarity.
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Transformation: Problem Solving
The learner will be able to
solve problems using transformations.
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Reasoning: Proportional
The learner will be able to
use proportional reasoning skills.
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Reasoning: Spatial
The learner will be able to
use spatial reasoning skills.
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Inductive/Deductive: Apply
The learner will be able to
apply inductive and deductive reasoning to solve problems.
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Symmetry
The learner will be able to
determine if a given shape is symmetrical.
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Properties: Comparison
The learner will be able to
compare the properties of two- and three-dimensional shapes.
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Parallel Lines: Identify
The learner will be able to
identify parallel lines.
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Perpendicular Lines: Identify
The learner will be able to
identify perpendicular lines.
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Geometric Models: Problem Solve
The learner will be able to
solve problems using two- and three-dimensional geometric models.
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Mathematics Communication
The learner will be able to
connect common vocabulary to mathematical terminology, and/or connect models, diagrams, and pictures to mathematical ideas.
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Modeling: Relating
The learner will be able to
relate models to concepts and/or ideas.
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Modeling: Math Situations
The learner will be able to
display and/or model mathematical situations or scenarios.
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Modeling: Math Situations
The learner will be able to
make models of problem scenarios, and make descriptions and evaluations of mathematical concepts and situations either in a graphic or written form.
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Communication: Explain Reasoning
The learner will be able to
explain their thought process.
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Communication: Evaluate Ideas
The learner will be able to
make evaluations of ideas.
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Temperature: Calculating
The learner will be able to
read temperature, add and subtract degrees of temperature, identify coldest and warmest temperature, calculate the average/mean and range of temperature.
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Measurement: Investigate/Manipulatives
The learner will be able to
apply manipulatives to investigate shapes, area, and/or perimeter, and display and illustrate measurement problems.
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Accuracy: Tools/Precision
The learner will be able to
choose and apply tools that are suitable for the desired degree of precision.
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Accuracy: Appropriate Instrument/Unit
The learner will be able to
choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation.
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Accuracy: Necessary
The learner will be able to
recognize the degree of accuracy needed in a given situation and select units appropriately.
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Measurement Concepts: Understanding
The learner will be able to
apply the ideas of perimeter, area, volume, capacity, weight, and/or mass in displaying a comprehension of measurement systems, units, and/or instruments.
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Measurement Concepts: Understanding
The learner will be able to
display comprehension of measurement systems, units, and/or instruments, through the descriptions, computations, or estimations of size, place, and or time.
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Measurement Processes: Describe
The learner will be able to
make descriptions of measurement processes.
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Measurement Processes: Compare
The learner will be able to
make comparisons of measurement methods.
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Problem Solving: Rates
The learner will be able to
solve story problems involving the rate (measure) of items.
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Problem Solving: Scale
The learner will be able to
solve problems involving scale.
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Problem Solving: Measurement
The learner will be able to
solve problems involving measurement concepts.
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Time: Years Elapsed
The learner will be able to
solve a story problem involving elapsed time (years) between 2 dates.
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Money: Division Story Problem
The learner will be able to
use division to solve a problem presented in a real world scenario using money notation.
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Volume of Rectangular Prisms
The learner will be able to
calculate the volume of a rectangular solid with the dimensions given.
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Volume: Dimensions
The learner will be able to
determine volume when given dimensions or a picture of a given figure (either a cube or rectangular prism).
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Capacity: Metric Instrument
The learner will be able to
measure an object's capacity using the appropriate metric instrument.
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Capacity: Standard Instrument
The learner will be able to
measure an object's capacity using the appropriate standard instrument.
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Scale Drawings: Understand
The learner will be able to
understand the concept of scale in relation to a ratio in regards to a scale drawing.
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Scale Maps: Interpret
The learner will be able to
interpret scale maps.
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Scale Models: 2- and 3-Dimensions
The learner will be able to
construct two- and three-dimensional scale models of common objects.
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Area of a Square: Partially Shaded
The learner will be able to
determine the fractional portion of a square that is shaded.
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Measurement: Estimation
The learner will be able to
apply measurement approximations.
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Conversion: Within System
The learner will be able to
convert a measurement, within a system, to solve a problem.
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Number Sense: Comprehension
The learner will be able to
display, illustrate, and/or relate to others a comprehension of number and/or number relationships.
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Equivalent Forms: Comprehend/Use
The learner will be able to
comprehend the use and representation of numbers in many different yet equivalent forms such as integers, fractions, decimals, percents, and exponential and scientific notation, in real world and mathematical contexts.
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Divisibility/Multiples/Factors
The learner will be able to
determine divisibility, multiples, and common factors, including a least and greatest common factor.
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Number Theory: Application
The learner will be able to
show an ability to correctly use concepts and/or ideas related to number theory.
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Number Forms: Recognize/Relationships
The learner will be able to
recognize relationships, and understand and/or use numbers and number ideas in a real world setting.
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Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
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Equivalent Forms: Representation
The learner will be able to
know that equivalent forms of the same number allow it to be represented in a variety of ways.
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Proportional Reasoning: Use/Problems
The learner will be able to
use proportional reasoning to solve story problems.
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Multiples: Solve/World Problems
The learner will be able to
use multiples to solve word problems.
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Patterns: Geometric/Understand
The learner will be able to
understand and/or apply geometric patterns.
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Estimation: Apply
The learner will be able to
apply estimation in working with quantities, measurement, and computation.
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Patterns: Relationships
The learner will be able to
apply patterns and relationships in the evaluation of various scenarios.
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Patterns: Relationships
The learner will be able to
make and/or illustrate patterns and/or functional relationships and apply algebraic representations to illustrate problems.
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Compare/Order
The learner will be able to
compare and/or order numbers and/or objects.
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Estimation Strategies
The learner will be able to
apply suitable approximation methods in problem solving situations.
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Number Uses
The learner will be able to
demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
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Patterns: Describe/Analyze/Extend
The learner will be able to
make, study, continue, and/or describe many different patterns.
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Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
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Patterns: Problem Solving/Recognize
The learner will be able to
use pattern recognition to solve problems.
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Patterns: Problem Solving
The learner will be able to
find patterns to determine solutions.
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Ordering Numbers
The learner will be able to
order a sequence of numbers which may include whole numbers, decimals, fractions, percents, and integers.
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Estimation: Money
The learner will be able to
make estimations with money.
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Number Lines: Problem Solving
The learner will be able to
solve real world problems using number lines.
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Computing
The learner will be able to
correctly perform various computations.
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Computing: In Context
The learner will be able to
perform computations in the context of given problems.
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Computing: Comparisons
The learner will be able to
make comparisons of various computing methods.
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Estimation Strategies: Explain
The learner will be able to
relate estimation methods to others.
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Rounding: Desired Accuracy
The learner will be able to
round numbers to the desired degree of accuracy.
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Data: Represent/Interpret
The learner will be able to
illustrate and/or analyze data, illustrate probability situations, relate trends and/or evaluate or create arguments founded on data.
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Data: Evaluate
The learner will be able to
evaluate bias, accuracy, and validity of data in real world situations.
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Statistics: Application
The learner will be able to
understand concepts, processes, and properties of statistics.
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Data Analysis: Inferences
The learner will be able to
gather information and develop inferences based on the analysis of this information.
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Probability/Statistics: Application
The learner will be able to
interpret a real world problem situation and solve it using probability and statistics concepts.
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Averaging Numbers: Story Problem
The learner will be able to
determine within the context of a real world problem the average of a set of given numbers.
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Probability
The learner will be able to
identify the probability of a given situation.
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Data: Analyzing
The learner will be able to
analyze data.
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Data: Interpretation
The learner will be able to
interpret given data.
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Data Analysis: Real World Applications
The learner will be able to
apply data analysis concepts in real world scenarios.
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Missing/Extraneous Information
The learner will be able to
recognize that relevant information may be missing, and/or determine the presence of extraneous information and eliminate it.
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Strategies: Applying
The learner will be able to
apply appropriate strategies to solve problems, such as, make a chart or graph, make a simpler problem, work backwards, and break the problem into parts.
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Strategies: Develop/Apply
The learner will be able to
solve a wide variety of problems by both developing and applying appropriate strategies.
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Strategies: Applying
The learner will be able to
solve routine and non-routine problems using a variety of strategies, such as usage of drawings, diagrams, and organized lists, models and "act out", spatial visualization, logical thinking, estimation, patterns, and the guess and check strategy.
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Investigations: Explore/Describe
The learner will be able to
investigate problems and express the nature of results by using a variety of different methods individually and as a member of a cooperative group.
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Problem Solving: Evaluate/Justify
The learner will be able to
create problems, make evaluations of mathematical arguments, judge and/or make generalizations of solutions, and justify answers and solutions methods.
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Problem Solving: Applying Math Processes
The learner will be able to
solve real world problems by implementing the necessary mathematical processes.
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Represent Problems: Connections
The learner will be able to
make connections between mathematical representations and their corresponding problem scenarios.
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Necessary Information
The learner will be able to
identify the information needed to solve a problem.
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Solutions: Communicate
The learner will be able to
convey the solutions to problems using appropriate, accurate, and precise mathematical language.
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Solutions: Verify
The learner will be able to
verify solutions to problems.
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Solution: Reasonableness
The learner will be able to
evaluate the reasonableness of a given solution.
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Strategies: Explain
The learner will be able to
explain various strategies.
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Multiply: Application
The learner will be able to
read a real world scenario problem involving the multiplication of whole numbers; determine the problem, the relevant elements of the problem, and the correct operation; set up the number sentence, find a solution; and use inverse operations to check the solution to ensure it is correct.
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Division Story Problems
The learner will be able to
solve real world problems by determining that division is required, distinguishing the relevant elements of the problem, and dividing the appropriate numbers.
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