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Mathematics

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Introduction
Ordering Info

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Penn-Trafford School District
Penn-Trafford Secondary Mathematics
Mathematics - Grade 7

Algebraic Concepts
Order of Operations: Applying Rules
The learner will be able to use the rules of order of operations to obtain the value of expressions.
Scope Activities
Master Home
  
Equations: Unknown Quantities
The learner will be able to apply the inverse relationship that exists between addition and subtraction and between multiplication and division.
Scope Activities
Master Home
  
Equations: Choose/Apply
The learner will be able to choose and apply a method to solve an equation, describe the solution and check the solution for accuracy.
Scope Activities
Master Home
  
Algebraic Concepts: Manipulatives
The learner will be able to use manipulatives to represent algebraic concepts.
Scope Activities
Introduce Home
  
Equality: Relationships
The learner will be able to demonstrate that an equality relationship between two quantities stays the same when changes are made as long as the change is made to both quantities.
Scope Activities
Master Home
  
Computation: Proficiency
The learner will be able to exhibit proficiency when performing computational procedures.
Scope Activities
Master Home
  
Computation: Real World Problems
The learner will be able to obtain solutions to real world problems that involve computations.
Scope Activities
Master Home
  
Inequalities: Concept
The learner will be able to understand the concepts of inequalities.
Scope Activities
Master Home
  
Variable/Expression/Equation
The learner will be able to comprehend the concepts of variable, expression, and equation.
Scope Activities
Master Home
  
Real Life examples
The learner will be able to express real liffe situations using expressions.
Scope Activities
Introduce Home
  
Graphing in one dimension
The learner will be able to graph equality and inequality solutions on a number line.
Scope Activities
Master Home
  
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Data Interpretation
Analyze/Produce Output
The learner will be able to analyze and create graphic output in the form of bar, line, and pie graphs.
Scope Activities
Master Home
  
Data Display: Stem-and-Leaf
The learner will be able to display data in a stem-and-leaf plot.
Scope Activities
Master Home
  
Graphs: Stem-and-Leaf Graphs
The learner will be able to interpret data shown in a stem-and-leaf graph.
Scope Activities
Master Home
  
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Decimals
Compare Decimals: Terminating/Repeating
The learner will be able to comprehend the relationship between terminating and repeating decimals.
Scope Activities
Master Home
  
Computing: Decimal Numbers
The learner will be able to become proficient in the addition, subtraction, multiplication, and division of decimal numbers with and without a calculator.
Scope Activities
Master Home
  
Decimals: Non-Terminating
The learner will be able to explore, represent and apply concepts of non-terminating decimals.
Scope Activities
Master Home
  
Decimals: Word Names/Fractions
The learner will be able to discover and understand fractional names for decimals through the use of decimal and fraction models.
Scope Activities
Master Home
  
Problem Solving: Operations
The learner will be able to solve problems by applying basic operations with decimals, using the appropriate solution method.
Scope Activities
Master Home
  
Computing: Decimals/Real-World
The learner will be able to perform the basic operations with decimals in real-world situations with and without the use of a calculator.
Scope Activities
Master Home
  
Decimal Point Alignment: Multiplication
The learner will be able to identify the resulting decimal place of the product of 2 decimals.
Scope Activities
Master Home
  
Decimals: Estimate/Common Fractions
The learner will be able to estimate decimal amounts using the values of common fractions.
Scope Activities
Master Home
  
Decimals: Estimate/Solve
The learner will be able to estimate solution and apply appropriate operations to solve problems with decimals.
Scope Activities
Master Home
  
Decimals: Ordering
The learner will be able to place a series of decimal numbers, up to thousandths, in order.
Scope Activities
Master Home
  
Decimals: Use
The learner will be able to apply decimals.
Scope Activities
Master Home
  
Divide a Whole Number by a Decimal
The learner will be able to divide a whole number by a decimal number which is between -1 and 1.
Scope Activities
Master Home
  
Divide Decimals
The learner will be able to divide decimals.
Scope Activities
Master Home
  
Divide: Round/Quotient
The learner will be able to round decimal quotients to the nearest predetermined place value.
Scope Activities
Master Home
  
Estimate Quotient
The learner will be able to estimate the quotient of 2 decimal numbers.
Scope Activities
Master Home
  
Multiply/Divide: Equivalent Expressions
The learner will be able to identify equivalent expressions for the multiplication and division of decimals.
Scope Activities
Master Home
  
Problem Solving: Equivalent Decimals
The learner will be able to solve real-world problems by identifying equivalent decimals.
Scope Activities
Master Home
  
Word Names: Hundred-Thousandth
The learner will be able to read and write word forms of decimal numbers to the hundred-thousandths place.
Scope Activities
Master Home
  
Equivalent Froms: Dec, Fracs, %'s
The learner will be able to convert between equivalent forms of fractions, decimals, and percents.
Scope Activities
Master Home
  
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Fractions
Add/Subtract Fractions
The learner will be able to demonstrate an ability to add and/or subtract mixed numbers and fractions with like and unlike denominators.
Scope Activities
Master Home
  
Division: Fractions/Mixed Numbers
The learner will be able to use models, pictures, and manipulatives to demonstrate division of fractions and mixed numbers, and be able to record and explain the results.
Scope Activities
Master Home
  
Multiply/Divide Fractions
The learner will be able to perform multiplication and division of proper fractions and mixed numbers and state the answer in simplest form.
Scope Activities
Master Home
  
Addition/Subtraction Fractions
The learner will be able to solve story problems requiring the addition or subtraction of fractions and reduce answers to lowest terms.
Scope Activities
Master Home
  
Compare Fractions: Common Denominator
The learner will be able to compare fractions by determining their equivalent fractions with a common denominator.
Scope Activities
Master Home
  
Compare Fractions: Cross Product
The learner will be able to compare fractions by determining their cross product.
Scope Activities
Master Home
  
Compare Fractions: Decimal/Common
The learner will be able to use decimal fractions to compare common fractions.
Scope Activities
Master Home
  
Division Story Problems
The learner will be able to solve real-world scenario problems where the division of fractions, mixed fractions, and whole numbers is involved.
Scope Activities
Master Home
  
Equivalent Fractions: Identify/Forms
The learner will be able to identify equivalent forms of fractions by applying CGF or other appropriate methods.
Scope Activities
Master Home
  
Fraction Terms: Numerator/Identify
The learner will be able to identify both the numerator and denominator and what they stand for in the context of a fraction.
Scope Activities
Master Home
  
Fractions: Change/Mixed Number
The learner will be able to make an improper fraction into a mixed number and vice versa.
Scope Activities
Master Home
  
Fractions: Convert Proper/Improper
The learner will be able to identify the proper form of an improper fraction.
Scope Activities
Master Home
  
Fractions: Estimation/Operations
The learner will be able to use estimation to perform the basic operations with fractions.
Scope Activities
Master Home
  
Fractions: Ordering
The learner will be able to identify a fraction that is greater than or less than a given fraction or order three of more from least to greatest.
Scope Activities
Master Home
  
Fractions: Use
The learner will be able to apply fractions.
Scope Activities
Master Home
  
Divide Fractions, Mixed Nos., Whole Nos.
The learner will be able to divide a fraction, mixed number, or whole number by a fraction, mixed number, or whole number.
Scope Activities
Master Home
  
Problem Solving
The learner will be able to recognize a real-world situation which calls for operations (addition, subtraction, multiplication, or division) with fractions (without being cued that the calculations involved would require a specific operation), evaluate the situation, articulate the nature and elements of the problem, solve the problem, and use inverse operations to check the solution.
Scope Activities
Master Home
  
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Angles: Draw/Measure/Label/List
The learner will be able to draw, measure, list, and label the attributes of complementary, supplementary, and vertical angles.
Scope Activities
Master Home
  
Angles: Compare
The learner will be able to compare angles.
Scope Activities
Master Home
  
Angles: Measuring
The learner will be able to measure angles.
Scope Activities
Master Home
  
Tesselations: Representations
The learner will be able to study objects to identify whether they represent tessellations.
Scope Activities
Master Home
  
Inductive/Deductive Reasoning: Identify
The learner will be able to identify the difference between inductive and deductive reasoning.
Scope Activities
Master Home
  
Symmetry
The learner will be able to determine if a given shape is symmetrical and if so draw lines of symmetry.
Scope Activities
Master Home
  
Polygons: Classify
The learner will be able to identify familiar polygons as regular or irregular(up to a decagon).
Scope Activities
Master Home
  
Spatial Sense: Demonstrate
The learner will be able to use written and oral communication to demonstrate spatial sense.
Scope Activities
Master Home
  
Lines formed by // lines and transversal
The learner will be able to identify corresponding, alternate interior, and vertical angles and apply properties.
Scope Activities
Master Home
  
Parts
The learner will be able to identify center, radius, diameter, circumference, and area.
Scope Activities
Master Home
  
Constructions: 3-D
The learner will be able to construct two and three-dimensional shapes through the use of physical materials.
Scope Activities
Master Home
  
Quadrilaterals: Compare
The learner will be able to make comparisons of quadrilaterals based upon their sides or angles.
Scope Activities
Master Home
  
Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
Scope Activities
Master Home
  
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Integers: Number Lines
The learner will be able to interpret real-world scenarios involving integers presented on number lines.
Scope Activities
Master Home
  
Perform operations with Integers
The learner will be able to add, subtract, multiply, and divde integers with and without a calculator.
Scope Activities
Reinforce Home
  
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Mathematics Processes
Reasoning: Conjecture
The learner will be able to formulate conjectures based on logical reasoning and use counterexamples to test conjectures.
Scope Activities
Master Home
  
Relationships: Conclusion
The learner will be able to arrive at a conclusion by combining numeric relationships.
Scope Activities
Master Home
  
Mathematical Modeling: Problem/Represent
The learner will be able to represent problem situations by applying the following models: diagrams, flowcharts, or pictures.
Scope Activities
Master Home
  
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Formulas: Develop
The learner will be able to develop and/or apply formulas and methods for finding measurement values.
Scope Activities
Master Home
  
Problem Solving: Rates
The learner will be able to obtain solutions to problems by applying rates.
Scope Activities
Master Home
  
Scale Maps: Interpret/Measurements
The learner will be able to interpret maps or drawings using scale measurements.
Scope Activities
Master Home
  
Scale Models: Construct/Apply
The learner will be able to construct and apply scale models.
Scope Activities
Master Home
  
Angle Measure: Degrees
The learner will be able to measure angles in degrees.
Scope Activities
Master Home
  
Accuracy: Choose/Apply Tools
The learner will be able to choose and use suitable tools and units to measure to the degree of accuracy required in a particular scenario.
Scope Activities
Master Home
  
Measurement Concepts: Understanding
The learner will be able to show a comprehension of the concepts of perimeter, area, surface area, volume, capacity, weight (mass), and temperature.
Scope Activities
Master Home
  
Perimeter/Area/Volume
The learner will be able to find the perimeter, area, and/or volume of a given figure.
Scope Activities
Master Home
  
Conversion: Between Systems
The learner will be able to solve problems which require converting units of measurement between systems.
Scope Activities
Reinforce Home
  
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Equivalent Forms: Represent/Use
The learner will be able to display and/or apply numbers in many different equivalent forms, such as, fractions, decimals, and percents.
Scope Activities
Master Home
  
Ratio/Proportion: Apply
The learner will be able to use ratio and proportion in mathematical problem scenarios involving distance, rate, time, and similar triangles.
Scope Activities
Master Home
  
Ratio/Proportion: Story Problems
The learner will be able to obtain solutions to story problems using ratio and proportion.
Scope Activities
Master Home
  
Scientific Notation: Convert
The learner will be able to convert between scientific and decimal notation.
Scope Activities
Master Home
  
Divisibility/Multiples/Factors
The learner will be able to determine the divisibility of whole numbers, determine the multiples of whole numbers, and identify prime and composite numbers.
Scope Activities
Master Home
  
Place Value: Applications
The learner will be able to understand and apply place value concepts when reading, writing, calculating, and estimating numbers.
Scope Activities
Reinforce Home
  
Multiples
The learner will be able to demonstrate an understanding of multiples.
Scope Activities
Master Home
  
Factors: Applications
The learner will be able to understand and use factors.
Scope Activities
Master Home
  
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Estimation: Tips/Discount
The learner will be able to approximate the amount of tips and discounts applying ratios, proportions and percents.
Scope Activities
Master Home
  
Patterns: Apply
The learner will be able to apply simple algebraic patterns to basic number theory.
Scope Activities
Introduce Home
  
Patterns: Apply
The learner will be able to apply simple algebraic patterns to spatial relations.
Scope Activities
Introduce Home
  
Pattern: Extend
The learner will be able to extend number or object patterns that can be infinitely continued.
Scope Activities
Master Home
  
Estimation: Appropriateness
The learner will be able to identify the appropriateness of overestimating or underestimating in computation.
Scope Activities
Master Home
  
Number Line: Represent Integers
The learner will be able to illustrate integers on a number line.
Scope Activities
Master Home
  
Compare/Order: Fraction/Decimal/Integer
The learner will be able to apply graphic models, number lines, and symbols to make comparisons of and order fractions, decimals, integers, and radicals.
Scope Activities
Master Home
  
Estimate: Reasonable
The learner will be able to form reasonable estimates in the comparison of larger or smaller numbers.
Scope Activities
Master Home
  
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Percents
Estimate and Compute Values
The learner will be able to estimate and compute the actual value of tips and discounts using percents.
Scope Activities
Reinforce Home
  
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Probability/Statistics