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Mathematics
· Grade 7

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Superintendent Letter
Introduction
Ordering Info


© 2004 by St, Anastasia School and EdVISION Corporation.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
EdVISION Corporation

St, Anastasia School
GRADE 7
Mathematics - Grade 7

Algebraic Concepts

Laws of Exponents
The learner will be able to understand and apply the laws of exponents when appropriate.
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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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Equations: Solutions
The learner will be able to identify what the solution represents in a real world problem involving basic operations.
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Formulate Problems
The learner will be able to formulate various types of problems.
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Inequalities: Concept
The learner will be able to understand the concepts of inequalities.
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Operations: Properties
The learner will be able to demonstrate an understanding of the properties of various operations.
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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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Data Interpretation

Graphing: Construct/Finish/Data Display
The learner will be able to construct and/or finish a data display.
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Analyzing Graphs: Identify/Compare
The learner will be able to identify and compare information on the same topic given in multiple graphical forms.
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Circle Graphs: Solve/Real World
The learner will be able to solve real world problems using circle graphs.
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Bar Graphs: Compare/Amounts
The learner will be able to compare (adding or subtracting if necessary) amounts on a bar graph.
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Line Graphs: Solve/Real World Problems
The learner will be able to solve real world problems using line graphs.
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Analyzing Graphs: Variety/Forms
The learner will be able to analyze information presented in a variety of graphical forms.
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Decimals: Rounding/Hundredth
The learner will be able to round decimal numbers to the nearest hundredths place.
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Decimals: Ordering
The learner will be able to place a series of decimal numbers in order.
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Compare Decimals: Up to 0.000001
The learner will be able to compare decimal numbers up to the millionths place (0.000001) using the order symbols (<, >, =).
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Fraction Parts: Determine/Real World
The learner will be able to determine the fractional portion of a given set given in the context of a real world scenario.
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Fractions: Identify/Number Sentence
The learner will be able to identify the number sentence to be used in solving a word problem.
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Compare Fractions: Different Denominator
The learner will be able to compare fractions with different denominators using the order symbols (<, >, =).
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Compare Fractions: Equivalent/Mixed
The learner will be able to compare 2 equivalent fractions and equivalent and mixed fractions.
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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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Angle Relationships: Identify/Compare
The learner will be able to identify, compare, and analyze the relationships which exist between angles.
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Planes/Points/Lines: Apply Concepts
The learner will be able to apply the ideas of planes, points, and/or lines in one, two, and/or three dimensions.
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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: Apply Concepts
The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
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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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Geometric Relationships: Properties
The learner will be able to understand and apply geometric properties and relationships.
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Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
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Rays
The learner will be able to use the basic elements of rays.
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Lines: Properties/Intersecting
The learner will be able to apply properties of intersecting lines in solving both mathematical and real world problems.
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Angles: Vertices
The learner will be able to determine points that represent given vertices on a figure.
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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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Constructions: Figures
The learner will be able to construct various geometric figures.
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Integers: Number Lines
The learner will be able to interpret real world scenarios involving integers presented on number lines.
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Mathematics Processes

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: 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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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: Problem Situations/Solutions
The learner will be able to model problem scenarios and obtain solutions.
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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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Modeling: Problem Situations
The learner will be able to model problem scenarios.
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Time: Story Problems
The learner will be able to calculate time changes, solve story problems, add, subtract, multiply, divide, and convert time, and solve multiple step problems.
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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: 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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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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Length: Ruler
The learner will be able to accurately read the appropriate scale on a ruler.
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Length
The learner will be able to determine the length of the object.
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Perimeter: Application
The learner will be able to solve real world application problems involving perimeter measurements.
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Capacity: Liters/Deciliters
The learner will be able to measure liquids using liters and deciliters.
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Capacity: Standard/Real World
The learner will be able to find the capacity of various objects in standard units when the objects themselves are presented either in isolation or in the context of real world scenarios.
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Scale Drawing
The learner will be able to use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
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Scale Maps: Interpret
The learner will be able to interpret scale maps.
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Area of a Square: Multiple Step Problem
The learner will be able to determine the area of a square given a problem which requires multiple operations in the context of a real world scenario.
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Measurement: Estimation
The learner will be able to apply measurement approximations.
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Place Value: Understand/Apply/Concepts
The learner will be able to understand and apply place value concepts when reading, writing, calculating, and estimating numbers.
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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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Ratio/Proportion: Determine/Compare
The learner will be able to determine the ratio of two items, compare two proportions, and solve for a proportion.
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Ratio/Proportion: Comprehend/Concepts
The learner will be able to comprehend the concepts of ratio and/or proportion.
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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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Scientific Notation: Understand/Apply
The learner will be able to understand and apply the use and significance of scientific notation.
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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: Story Problems
The learner will be able to use equivalent forms in story problems with real world applications.
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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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Prime Numbers: Analyze/Properties
The learner will be able to analyze properties of prime numbers and identify true and false statements.
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Multiples: Lowest Common/Story Problem
The learner will be able to identify the lowest common multiple of a group of 2 or more numbers when given in the context of a real world problem.
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Divisibility: Determine/Divide Evenly
The learner will be able to determine which number is evenly divisible by a given number.
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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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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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Estimate/Problems: Interpret
The learner will be able to interpret word problems with illustrations and estimate appropriately.
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Patterns: Number/Find/Missing
The learner will be able to find elements that may be missing from a pattern of numbers.
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Patterns: Number/Solve Problems
The learner will be able to solve problems using number patterns.
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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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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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Rounding: Problem Solving
The learner will be able to round numbers to any appropriate place value within the context of a real world problem.
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Problem Solving: Real World
The learner will be able to solve real world problem situations where percents are used.
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Probability/Statistics

Data: Evaluate
The learner will be able to evaluate bias, accuracy, and validity of data in real world situations.
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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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Statistics: Application
The learner will be able to understand concepts, processes, and properties of statistics.
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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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Probability: Identify Experiment
The learner will be able to identify the experiment setup which could yield given probability data.
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Probability
The learner will be able to identify the probability of a given situation.
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Probability: Experimental
The learner will be able to conduct activities where experimental probability is determined.
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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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Data Analysis: Conclusions
The learner will be able to draw conclusions from data.
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Problem Solving

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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