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© 2003 by Sierra Sands Unified School District and EdVISION Corporation.
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EdVISION Corporation

Sierra Sands Unified School District
Curriculum Guides 2003-2004
Mathematics - CA: Grade 4

Algebraic Concepts

Expressions: Write/Simplify
The learner will be able to apply and interpret variables, math symbols, and properties in the writing and simplification of expressions and sentences.
Strand Source Activities
Expressions CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.0 Classroom
  
Formulas: Apply/Interpret
The learner will be able to apply and interpret formulas to determine answers to questions concerning quantities and their relationships.
Strand Source Activities
Formulas CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.4 Classroom
  
Algorithms: Demonstrate Understanding
The learner will be able to show an understanding of, and an ability to apply standard algorithms for the addition and subtraction of multiple digit numbers.
Strand Source Activities
Algorithms CA: STAR Blueprints, 2001, Grade 4, Number Sense, 3.1 Classroom
  
Algorithms: Demonstrate Understanding
The learner will be able to show an understanding of, and an ability to apply standard algorithms for the multiplication of a multiple digit number by a two digit number, as well as for long division to divide a multiple digit number by a one digit number, and apply the connection that exists between them to simplify calculations and to verify results.
Strand Source Activities
Algorithms CA: STAR Blueprints, 2001, Grade 4, Number Sense, 3.2 Classroom
  
Identify Sentence
The learner will be able to identify the number sentence to be used in solving a word problem.
Strand Source Activities
Identify Sentence California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Fact Families: Components
The learner will be able to identify all of the components completing a fact family.
Strand Source Activities
Fact Families California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Missing Number: Identify
The learner will be able to identify the missing number in an equation.
Strand Source Activities
Missing Information California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Order of Operations: Parentheses
The learner will be able to apply parentheses to show the correct operation to perform first when writing expressions having at least three terms and various operations.
Strand Source Activities
Order of Operations CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.3 Classroom
  
Equations: Addition
The learner will be able to comprehend that when equivalent values are added to other equivalent values, the results remain equal.
Strand Source Activities
Equations CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 2.1 Classroom
  
Equations: Multiplication
The learner will be able to comprehend that when equivalent values are multiplied by other equivalent values, the results remain equal.
Strand Source Activities
Equations CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 2.2 Classroom
  
Equations: Understanding
The learner will be able to know that a given equation is a means of finding a second number when a first number is given.
Strand Source Activities
Equations CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.5 Classroom
  
Equations: Manipulate
The learner will be able to understand the manipulation of equations.
Strand Source Activities
Equations CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 2.0 Classroom
  
Expressions: Evaluate
The learner will be able to determine the value of mathematical expressions that involve the use of parentheses.
Strand Source Activities
Expressions CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.2 Classroom
  
Expressions: Interpret
The learner will be able to interpret expressions that involve the use of parentheses.
Strand Source Activities
Expressions CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.2 Classroom
  
Basic Operations: Understand/Relation
The learner will be able to understand the relationships between the basic operations.
Strand Source Activities
Basic Operations CA: STAR Blueprints, 2001, Grade 4, Number Sense, 3.0 Classroom
  
Symbols: Apply/Letters/Boxes
The learner will be able to apply letters, boxes, or other symbols to illustrate any number in elementary expressions or equations.
Strand Source Activities
Symbols CA: STAR Blueprints, 2001, Grade 4, Algebra and Functions, 1.1 Classroom
  
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Data Interpretation

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.
Strand Source Activities
Tables/Charts California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Tables/Charts: Gather/Display
The learner will be able to methodically gather data and display it in the form of tables, charts, and/or coordinate graphs.
Strand Source Activities
Tables/Charts CA: STAR Blueprints, 2001, Grade 4, Statistics, Data Analysis, and Probability, 1.1 Classroom
  
Pictographs: Analyze
The learner will be able to analyze data on a pictograph.
Strand Source Activities
Pictographs California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
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Add/Subtract Decimals: Positive
The learner will be able to approximate and calculate the addition or subtraction of positive decimal numbers (up to hundredths place).
Strand Source Activities
Add/Subtract Decimals CA: STAR Blueprints, 2001, Grade 4, Number Sense, 2.1 Classroom
  
Add Decimals: Regrouping
The learner will be able to add decimals that require regrouping.
Strand Source Activities
Add Decimals California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Subtract Decimals: No Regrouping
The learner will be able to subtract decimals that do not require regrouping.
Strand Source Activities
Subtract Decimals California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Subtract 2 Numbers: 1-2 Decimals
The learner will be able to subtract 2 numbers with 1-2 decimals (regrouping when necessary).
Strand Source Activities
Subtract Decimals California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Decimals for Part of a Set
The learner will be able to identify the decimals that correspond to partially shaded figures.
Strand Source Activities
Decimals California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Decimals and Equivalent Fractions
The learner will be able to determine equivalent fractions and decimals.
Strand Source Activities
Decimals California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Money: Subtraction
The learner will be able to subtract money expressed in decimal form.
Strand Source Activities
Money California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Money: Addition
The learner will be able to add money expressed in decimal form.
Strand Source Activities
Money California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
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Add 2 Fractions: Like Denominators
The learner will be able to add two fractions with like denominators where denominators are less than 10.
Strand Source Activities
Add Fractions California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Add Fractions: To a Whole Number
The learner will be able to add a fraction to a whole number.
Strand Source Activities
Add Fractions California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Subtract: Like Denominators/Less Than 40
The learner will be able to subtract two fractions with like denominators where denominators are less than 40.
Strand Source Activities
Subtract Fractions California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Fraction Parts: Understand/Match
The learner will be able to show an understanding of fractions by matching fractions with the appropriate diagrams of partially shaded figures.
Strand Source Activities
Fraction Parts California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Fractions: Express/Drawing
The learner will be able to express (in written form) the fraction that is illustrated by a given drawing of parts of a figure.
Strand Source Activities
Fractions CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.7 Classroom
  
Fraction: Represent/Drawing
The learner will be able to illustrate a given fraction through the application of drawings.
Strand Source Activities
Fractions CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.7 Classroom
  
Fractions: Relate/Decimals
The learner will be able to relate fractions to basic decimals given on a number line.
Strand Source Activities
Fractions CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.7 Classroom
  
Exploring: Describe/Interpretations
The learner will be able to describe a variety of interpretations of fractions.
Strand Source Activities
Exploring CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.5 Classroom
  
Equivalent Fractions: Describe
The learner will be able to describe equivalents of fractions.
Strand Source Activities
Equivalent Fractions CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.5 Classroom
  
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Angle Relationships
The learner will be able to realize that angle measures of 90, 180, 270, and 360 degrees are related to 1/4, 1/2, 3/4, and full turns respectively.
Strand Source Activities
Angle Relationships CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.5 Classroom
  
Three-Dimensional Solids: Attributes
The learner will be able to visualize, explain, and display solid figures with respect to the number and shape of faces, edges, and vertices.
Strand Source Activities
Three-Dimensional Solids CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.6 Classroom
  
Geometric Relationships: Illustrate
The learner will be able to show a comprehension of two- and three-dimensional geometric figures and apply this knowledge to illustrate relationships and solve problems.
Strand Source Activities
Geometric Relationships CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.0 Classroom
  
Figures: Construct/Model
The learner will be able to draw the patterns of the faces of a solid that will construct a model when cut and folded.
Strand Source Activities
Figures: Construct CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.6 Classroom
  
Figures: Identify/Real World
The learner will be able to identify shapes in real world objects and drawings.
Strand Source Activities
Figures: Real World California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Representations: Interpret/Illustrations
The learner will be able to make interpretations of two-dimensional illustrations of three-dimensional objects.
Strand Source Activities
Figures: Representations CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.6 Classroom
  
Acute Angle: Know/Definition
The learner will be able to know the definition of an acute angle.
Strand Source Activities
Acute/Right/Obtuse Angles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.5 Classroom
  
Obtuse Angle: Know/Definition
The learner will be able to know the definition of an obtuse angle.
Strand Source Activities
Acute/Right/Obtuse Angles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.5 Classroom
  
Solids: Cube/Properties
The learner will be able to identify the number of faces on a cube.
Strand Source Activities
Three-Dimensional Solids California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Congruency/Symmetry: Apply
The learner will be able to apply the concepts of congruency and symmetry by visualizing whether figures shown (with dotted lines to indicate where a fold would be) are symmetrical and/or congruent.
Strand Source Activities
Congruence/Similarity/Symmetry California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Lines: Describe/Relationships/Identify
The learner will be able to describe the relationships between different lines and identify properties of intersecting, diagonal, horizontal, vertical, parallel, and perpendicular lines.
Strand Source Activities
Lines California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Lines: Understand/Length
The learner will be able to realize that the length of a horizontal line segment can be determined by finding the difference of the x coordinates.
Strand Source Activities
Lines CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 2.2 Classroom
  
Lines: Understand/Length
The learner will be able to realize that the length of a vertical line segment can be determined by finding the difference of the y coordinates.
Strand Source Activities
Lines CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 2.3 Classroom
  
Angle: Definition/Right
The learner will be able to know the definition of a right angle.
Strand Source Activities
Angles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.5 Classroom
  
Triangles: Identify/Define
The learner will be able to identify and define various triangles (including right, isosceles, scalene, and equilateral).
Strand Source Activities
Triangles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.7 Classroom
  
Circles: Identify
The learner will be able to recognize a circle's radius.
Strand Source Activities
Circles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.2 Classroom
  
Circle: Diameter
The learner will be able to identify the diameter of a circle.
Strand Source Activities
Circles CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.2 Classroom
  
Symmetry: Identify
The learner will be able to recognize shapes that possess bilateral and/or rotational symmetry.
Strand Source Activities
Symmetry CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.4 Classroom
  
Congruence: Identify
The learner will be able to recognize congruent figures.
Strand Source Activities
Congruence CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.3 Classroom
  
Parallel Lines: Identify
The learner will be able to identify parallel lines.
Strand Source Activities
Lines: Parallel/Perpendicular CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.1 Classroom
  
Perpendicular Lines: Identify
The learner will be able to identify perpendicular lines.
Strand Source Activities
Lines: Parallel/Perpendicular CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.1 Classroom
  
Quadrilaterals: Definitions
The learner will be able to know the definition of various quadrilaterals.
Strand Source Activities
Quadrilaterals CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 3.8 Classroom
  
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Time: Read/Calculate Analog Clock
The learner will be able to read a standard clock (not digital) and calculate lengths of time through addition and subtraction.
Strand Source Activities
Time California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Money: Coin Value/Add Coins
The learner will be able to identify the value of a quarter, dime, nickel, and penny and complete the following: adding different coins, choosing correct combinations of coins to make an exact amount, and counting by nickels, dimes, or quarters.
Strand Source Activities
Money California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Perimeter: Compare
The learner will be able to understand and compare the perimeters of rectangular figures.
Strand Source Activities
Perimeter California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Formulas: Problem Solving
The learner will be able to comprehend and apply formulas to obtain solutions to problems concerning the perimeters and areas of rectangles and squares, and also apply these formulas to determine the areas of more complicated shapes by dividing them into parts possessing the shapes of squares and rectangles.
Strand Source Activities
Formulas CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.4 Classroom
  
Temperature: Read
The learner will be able to read a thermometer.
Strand Source Activities
Temperature California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Perimeter: Understand
The learner will be able to understand the idea of perimeter.
Strand Source Activities
Perimeter CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.0 Classroom
  
Area: Understand
The learner will be able to understand the idea of area.
Strand Source Activities
Area CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.0 Classroom
  
Area: Square Units
The learner will be able to determine the area measurement of rectangular shapes with the application of suitable square units.
Strand Source Activities
Area CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.1 Classroom
  
Weight: Appropriate Measure
The learner will be able to identify the appropriate measure for determining weight.
Strand Source Activities
Weight California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Perimeter/Area: Rectangles
The learner will be able to understand that different rectangles may have the same perimeter but possess different areas.
Strand Source Activities
Perimeter/Area/Volume CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.3 Classroom
  
Perimeter/Area: Rectangles
The learner will be able to understand that rectangles possessing identical areas may have different perimeters.
Strand Source Activities
Perimeter/Area/Volume CA: STAR Blueprints, 2001, Grade 4, Measurement and Geometry, 1.2 Classroom
  
Area of a Rectangle: Count Square Units
The learner will be able to determine the area of rectangular figures by counting the square units within the figure.
Strand Source Activities
Area of a Rectangle California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Length: Estimate/Metric
The learner will be able to estimate metric length.
Strand Source Activities
Length Estimation California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
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Place Value: Whole Numbers/Decimals
The learner will be able to comprehend place value concepts related to whole numbers and decimals (to two decimal places) as well as the manner in which they relate to simple fractions, and apply concepts of negative numbers.
Strand Source Activities
Place Value CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.0 Classroom
  
Odd/Even
The learner will be able to determine what a group of numbers has in common, which number from a group is odd or even, or if the solution to an equation is odd or even.
Strand Source Activities
Odd/Even California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Number Forms: Apply/Negative Numbers
The learner will be able to apply the simple concepts of negative numbers.
Strand Source Activities
Number Forms CA: STAR Blueprints, 2001, Grade 4, Number Sense, 1.8 Classroom
  
Prime Numbers: Understand
The learner will be able to understand that some numbers posses only the number 1 and themselves as factors, and that they are called prime numbers.
Strand Source Activities
Prime/Composite Numbers CA: STAR Blueprints, 2001, Grade 4, Number Sense, 4.2 Classroom
  
Word Names: Match/Less Than Billions
The learner will be able to match word names and corresponding whole numbers (less than one billion).
Strand Source Activities
Word Names California Achievement Test (CAT), Version 5, Level 14 week tested: 36. Classroom
  
Place Value: Identify/Less Than Billions
The learner will be able to identify place value for