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Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
1
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V NUMBER SENSE SAM04101- B1 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Read and write whole numbers in the millions (1.1)
1.1 Read and write whole numbers in the millions.
Module: Numbers and Number Sense Unit: Large and Small Numbers Session 1: Whole Numbers to One Million Session 2: Ordering and Rounding Whole Numbers
SAM04102a-B1 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Order and compare whole numbers (1.2) SAM04102-B2 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple
1.2 Order and compare whole numbers and decimals to two decimal places.
Module: Numbers and Number Sense Unit: Large and Small Numbers Session 2: Ordering and Rounding Whole Numbers Module: Decimals Unit: Introduction Session 1: Tenths, Hundredths, and Thousandths Session 2: Ordering
Module: Decimals Unit: Essentials of Decimals Session 1: Investigating Decimal Place Values
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
2
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V fractions; use concepts of negative numbers: Order and compare whole numbers and decimals to two decimal places (1.2)
SAM04103-B2 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand (1.3)
1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.
Module: Numbers and Number Sense Unit: Large and Small Numbers Session 2: Ordering and Rounding Whole Numbers
SAM04104a-B1 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Identify when a round solutions is called for and explain why such a solution may be appropriate (1.4)
1.4 Decide when a rounded solution is called for and explain why such a solution may be appropriate
Module: Numbers and Number Sense Unit: Large and Small Numbers Session 2: Ordering and Rounding Whole Numbers
Module: Decimals Unit: Adding and Subtracting Decimals Session 1: Using Place Value Grids Module: Integers & Order of Operations Unit: Adding and Subtracting Signed Numbers Session 2: Adding with
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
3
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V SAM04104-B2 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Decide when a rounded solution is called for and explain why such a solution may be appropriate (1.4)
Absolute Value
SAM04105-B3
Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (1.5)
1.5 Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (see Standard 4.0)
Module: Fractions Unit: Proper and Improper Fractions Session 1: Proper Fractions Session 2: Improper Fractions Session 3: Equivalent Fractions Module: Decimals Unit: Introduction Session: Tenths, Hundredths, and Thousandths
Module: Fractions Unit: Essentials of Fractions Session 1: Recognizing a Fraction Session 2: Exploring Proper and Improper Fractions Session 3: Working with Mixed Numbers
SAM04106-B2 Understand the place
1.6 Write tenths and hundredths in decimal and
Module: Decimals Unit: Introduction Session 1: Tenths,
Module: Decimals Unit: Essentials of Decimals
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
4
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 or .50; 7/4 = 1 3/4 = 1.75) (1.6)
fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., _ = 0.5 or .50; 7/4 = 1 _ = 1.75.
Hundredths, and Thousandths
Session 1: Investigating Decimal Place Values
SAM04107-B2 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings and relate a fraction to a simple decimal on a number line (1.7)
1.7 Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.
Module: Operations with Numbers Unit: Division Session: Fractional Parts
Module: Fractions Unit: Proper and Improper Fractions Session 3: Equivalent Fractions Module: Decimals Unit: Introduction Session 3: Ratios, Decimals, and Percents
SAM04108a-B2 Understand the place
1.8 Use concepts of negative
Module: Geometry and Measurement
Module: Numbers and
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
5
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Understand and identify the concept of negative numbers in a number line as “owing: and counting (1.8) SAM04108-B3 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Use concepts of negative numbers (e.g., on a number line, in counting, in temperature, in "owing") (1.8)
numbers (e.g., on a number line, in counting, in temperature, in “owing”).
Unit: Measurement Session: Temperature
Number Sense Unit: Large and Small Numbers Session 3: Negative Whole Numbers
SAM04109a-B2 Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple
1.9 Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.
Module: Fractions Unit: Proper and Improper Fractions Session 1: Proper Fractions Session 2: Improper Fractions
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
6
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V fractions; use concepts of negative numbers: Identify on a number line the relative position of positive fractions, and positive mixed numbers (1.9) SAM04109-B3
Understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions; use concepts of negative numbers: Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places (1.9)
Module: Decimals Unit: Introduction Session 1: Tenths, Hundredths, and Thousandths
SAM04110-B1 Extend use and understanding of whole numbers to the addition and subtraction of simple decimals: Estimate and compute the sum or difference of whole numbers and positive decimals to two places
2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places.
Module: Operations with Numbers Unit: Addition and Subtraction of Whole Numbers Session 1: Whole Number Sums Session 2: Differences
Module: Decimals Unit: Adding and Subtracting Decimals Session 1: Using Place Value Grids Session 2: Regrouping with Whole Numbers
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
7
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V (2.1) Between Large
Numbers Module: Decimals Unit: Addition and Subtraction Session 1: Adding Decimals Session 2: Subtracting Decimal
Session 3: Regrouping to Hundredths
SAM04112-B1 Extend use and understanding of whole numbers to the addition and subtraction of simple decimals: Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer (2.2)
2.2 Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.
Module: Decimals Unit: Introduction Session 2: Ordering and Rounding
Module: Decimals Unit: Essentials of Decimals Session: Rounding Decimals Module: Decimals Unit: Adding and Subtracting Decimals Session 1: Using Place Value Grids
SAM04112-B1 Solve problems involving addition, subtraction, multiplication, and division of whole numbers, and understand the relationships among the operations: Demonstrate understanding of, and the ability to use, standard algorithms for
3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi-digit numbers.
Module: Operations with Numbers Unit: Addition and Subtraction of Whole Numbers Session 1: Whole Number Sums Session 2: Differences Between Large Numbers
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
8
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V addition and subtraction of multi-digit numbers (3.1)
SAM04113-B2
Solve problems involving addition, subtraction, multiplication, and division of whole numbers, and understand the relationships among the operations: Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results (3.2)
3.2 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multi-digit number by a two- digit number and for dividing a multi-digit number by a one- digit number; use relationships between them to simplify computations and to check results.
Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session 1: Two-digit Multipliers Session 2: Introduction to Long Division
SAM04114-B2 Solve problems involving addition, subtraction, multiplication, and division of whole numbers, and understand the relationships among the operations: Solve problems involving
3.3 Solve problems involving multiplication of multi-digit numbers by two-digit numbers
Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session 1: Two-digit Multipliers
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
9
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V multiplication of multidigit numbers by two-digit numbers (3.3)
SAM04115-B2
Solve problems involving addition, subtraction, multiplication, and division of whole numbers, and understand the relationships among the operations: Solve problems involving division of multidigit numbers by one-digit numbers (3.4)
3.4 Solve problems involving division of multi-digit numbers by one-digit numbers.
Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session 2: Introduction to Long Division
SAM04116-B1 Know how to factor small whole numbers: Understand that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3) (4.1)
4.1 Understand that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3).
Module: Numbers and Number Sense Unit: Numbers as Factors Session 1: Finding Factors Session: Prime and Composite Numbers Session: Identifying Common Factors
SAM04117-B2 Know how to factor small whole numbers: Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that
4.2 Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers.
Module: Numbers and Number Sense Unit: Numbers as Factors Session 2: Prime and Composite
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V such numbers are called prime numbers (4.2)
Numbers Session: Identifying Common Factors
ALGEBRA & FUNCTIONS SAM04201a-B2 Use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences: Demonstrate understanding and use of a letter, box or other symbols to represent any number in a simple expression or equation (1.1) SAM04201-B3 Use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences: Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate understanding and the use of a concept of a variable) (1.1)
1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable
Module: Numbers and Number Sense Unit: Numbers as Factors Session: Finding Factors Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session: Two-Digit Multipliers Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session: Introduction to Long Division Module: Fractions Unit: Multiplication and Division Session: Finding Products Module: Geometry Unit: Measurement Session: Rectangles and Squares
Module: Essentials of Algebra Unit: Algebra Fundamentals Session 1: Introducing Variables
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
11
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V Module: Geometry Unit: Coordinate Geometry and Algebra Session: The Coordinate Plane
SAM04202-B3 Use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences: Interpret and evaluate mathematical expressions that use parentheses (1.2)
1.2 Interpret and evaluate mathematical expressions that now use parentheses.
Module: Algebraic Thinking Unit: Properties and Relationships Session: Number Patterns and Properties
Module: Operations with Numbers Unit: The Integers Session: Integer Sums Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session: Two-Digit Multipliers Module: Decimals Unit: Multiplication and Division Session: Multiplying Decimals Module: Decimals Unit: Multiplication and Division Session: Dividing Decimals by Whole Numbers
Module: Integers & Order of Operations Unit: Order of Operations Session 1: Simplifying Expressions
SAM04203-B2 1.3 Module: Module: Integers Module:
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V Use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences: Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations (1.3
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations
Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session: Two-Digit Multipliers Module: Decimals Unit: Multiplication and Division Session: Multiplying Decimals Session: Dividing Decimals by Whole Numbers
& Order of Operations Unit: Order of Operations Session 2: Introducing the Distributive Property Session 3: Using Grouping Symbols
Essentials of Algebra Unit: Evaluating an Algebraic Expression Session 2: Combining Like Terms
SAM04204-B3 Use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences: Use and interpret formulas (e.g., area = length × width or A = lw) to answer questions about quantities and their relationships (1.4)
1.4 Use and interpret formulas (e.g., area = length x width or A = lw ) to answer questions about quantities and their relationships.
Module: Numbers and Number Sense Unit: Numbers as Factors Session: Finding Factors Module: Operations with Numbers Unit: Multiplication and Division of Whole Numbers Session: Two-Digit Multipliers Session: Introduction to Long Division Session: Two-Digit Divisors Module: Geometry
Module: Integers & Order of Operations Unit: Order of Operations Session 2: Introducing the Distributive Property
Module: Essentials of Algebra Unit: Evaluating an Algebraic Expression Session 1: Representing the Dimensions and Area of a Rectangle
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
13
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V Unit: Measurement Session: Rectangles and Squares Session: Triangles Session: Parallelograms and Trapezoids Module: Data Analysis and Probability Unit: Modeling and Displaying Events Session: Displaying and Analyzing Data Session: Looking at Chance
SAM04205a-B2 Use and interpret
variables, mathematical symbols, and properties to write and simplify expressions and sentences: Understand that an equation such as y = 3x + 5 can be solved when one variable is given (1.5)
SAM04205-B3 Use and interpret
variables, mathematical symbols, and properties to write and simplify expressions and
1.5 Understand that an equation such as y = 3 x + 5 is a prescription for determining a second number when a first number is given.
Module: Essentials of Algebra Unit: Algebra Fundamentals Session 3: Replacing variables in a Formula Module: Essentials of Algebra Unit: Evaluating an Algebraic Expression Session 3: Evaluating Expressions Using
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V sentences: Understand that an equation such as y = 3x + 5 is a prescription for determining a second number when a first number is given (1.5)
Substitution
SAM04206-B2 Know how to manipulate equations: Know and understand that equals added to equals are equal (2.1)
2.1 Know and understand that equals added to equals are equal.
SAM04207-B3 Know how to manipulate equations: Know and understand that equals multiplied by equals are equal (2.2)
2.2 Know and understand that equals multiplied by equals are equal
MEASUREMENT & GEOMETRY SAM04401-B2 Understand perimeter and area: Measure the area of rectangular shapes, using appropriate units such as square centimeter (cm2), square meter (m2), square kilometer (km2), square inches (in2), square yard (yd2), square mile (mi2) (1.1)
1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter, square meter, square kilometer, square inch, square yard, or square mile ���
Module: Geometry Unit: Measurement Session 2: Rectangles and Squares
SAM04402-B2 1.2 Recognize that rectangles
Module: Geometry Unit: Measurement
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V Understand perimeter and area: Recognize that the rectangles that have the same area can have different perimeters (1.2
that have the same area can have different perimeters
Session 2: Rectangles and Squares
SAM04403-B2 Understand perimeter and area: Understand that rectangles that have the same perimeter can have different areas (1.3)
1.3 Understand that rectangles that have the same perimeter can have different areas.
Module: Geometry Unit: Measurement Session 2: Rectangles and Squares
SAM04404a-B2 Understand perimeter and area: Understand and use formulas to solve problems involving perimeters and areas with rectangles and squares; use those formulas to find the areas of rectangles and squares (1.4) SAM04404-B3 Understand perimeter and area: Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares; use those formulas to find the areas of more complex figures by dividing the
1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
Module: Geometry Unit: Measurement Session 4: Parallelograms and Trapezoids
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
16
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V figures into basic shapes (1.4)
SAM04405-B3 Use two-dimensional coordinate grids to represent points and graph lines and simple figures: Draw the points corresponding to linear relationships on graph paper (e.g., draw ten points on the graph of the equation y = 3x and connect them by using a straight line) (2.1
2.1 Draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3x and connect them by using a straight line.
SAM04406-B3 Use two-dimensional coordinate grids to represent points and graph lines and simple figures: Understand that the length of a horizontal line segment equals the difference of the x-coordinates (2.2)
2.2 Understand that the length of a horizontal line segment equals the difference of the x-coordinates
Module: Geometry Unit: Coordinate Geometry and Algebra Session 1: The Coordinate Plane
SAM04407-B3 Use two-dimensional coordinate grids to represent points and graph lines and simple figures: Understand that the length of a vertical line segment equals the difference of the y-coordinates (2.3)
2.3 Understand that the length of a vertical line segment equals the difference of the y- coordinates.
Module: Geometry Unit: Coordinate Geometry and Algebra Session 1: The Coordinate Plane
SAM04408-B2 Demonstrate
3.1 Identify lines that are
Module: Geometry Unit: Measurement
Module: Fundamentals of
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V understanding of plane and solid geometric objects; use this knowledge to show relationships and solve problems: Identify lines that are parallel and perpendicular (3.1)
parallel and perpendicular. Session 2: Rectangles and Squares Session: Parallelograms and Trapezoids
Geometry Unit: Geometry Fundamentals Session 1: Naming and Measuring
SAM04409-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Identify the radius and diameter of a circle (3.2)
3.2 Identify the radius and diameter of a circle.
Module: Geometry Unit: Coordinate Geometry and Algebra Session 2: Symmetry and Transformations
Module: Decimals Unit: Essentials of Decimals Session 2: Rounding Decimals
SAM04410-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Identify congruent figures (3.3
3.3 Identify congruent figures.
Module: Fundamentals of Geometry Unit: Geometry Fundamentals Session: Recognizing Congruent Angles
SAM04411-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Identify figures that have bilateral and rotational symmetry (3.4)
3.4 Identify figures that have bilateral and rotational symmetry.
Module: Geometry Unit: Coordinate Geometry and Algebra Session 2: Symmetry and Transformations
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V
SAM04412-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Know the definitions of a right angle, an acute angle, and an obtuse angle; understand that 90°, 180°, 270°, and 360° are associated, respectively with 1/4, 1/2, 3/4, and full turns (3.5)
3.5 Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90,180,270, and 360 are associated, respectively, with _, _, _, and full turns.
Module: Geometry Unit: Measurement Session 1: Lines, Angles and Circles
Module: Fundamentals of Geometry Unit: Geometry Fundamentals Session 1: Naming and Measuring Angles Session 2: Defining Complementary and Supplementary Angles
SAM04413-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids.) in terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded will make a
3.6 Visualize, describe, and made models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices; interpret two- dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V model of the solid (3.6) SAM04414-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Know the definitions of different triangles (e.g., equilateral, isosceles, scalene) and identify their attributes (3.7)
3.7 Know the definitions of different triangles (e.g., equilateral, isosceles, scalene) and identify their attributes
Module: Geometry Unit: Measurement Session 3: Triangles
Module: Fundamentals of Geometry Unit: Triangles Session 1: Classifying Triangles by Sides
SAM04415-B2 Demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems: Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid) (3.8)
3.8 Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid).
Module: Geometry Unit: Measurement Session 2: Rectangles and Squares Session 4: Parallelograms and Trapezoids
STATISTICS, DATA ANALYSIS, AND PROBABILITY SAM04301a-B2 Organize, represent, and interpret numerical and categorical data, and clearly communicate their findings: Systematically collect and represent data on a number line; and
1.1 Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.
Module: Data Analysis and Probability Unit: Modeling and Displaying Events Session 1: Displaying and Analyzing Data
Module: Fundamentals of Statistics Unit: Interpreting and Constructing Graphs Session: Exploring Line Graphs Module:
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V coordinate graphs, and tables (1.1)
SAM04301-B3 Organize, represent, and interpret numerical and categorical data, and clearly communicate their findings: Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts (1.1)
Fundamentals of Statistics Unit: Interpreting and Constructing Graphs Session: Exploring Bar Graphs Module: Fundamentals of Statistics Unit: Interpreting and Constructing Graphs Session: Interpreting Pie Charts
SAM04302-B3 Organize, represent, and interpret numerical and categorical data, and clearly communicate their findings: Identify the mode(s) for sets of categorical data, and the mode(s), median, and any apparent outliers for numerical data sets (1.3) SAM04303-B3 Organize, represent, and interpret numerical and categorical data, and clearly communicate their findings: Interpret one-
1.3 Interpret one- and two- variable data graphs to answer questions about a situation.
Module: Data Analysis and Probability Unit: Modeling and Displaying Events Session 1: Displaying and Analyzing Data
Module: Fundamentals of Statistics Unit: Interpreting and Constructing Graphs Session 1: Exploring Line Graphs Session 2: Exploring Bar Graphs Session 3: Interpreting Pie Charts
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
21
Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
II
Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V and two-variable data graphs to answer questions about a situation (1.3) SAM04304-B3 Make predictions for simple probability situations: Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams) (2.1)
2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).
Module: Data Analysis and Probability Unit: Modeling and Displaying Events Session 2: Looking at Chance
Module: Fundamentals of Probability Unit: Simple Probability Session 1: Defining and Expressing Probability Session 2: Calculating Probabilities on a Color Wheel Module: Fundamentals of Probability Unit: Probability of Combined Events Session 1: Calculating the Probability of Independent Events Session 2: Determining the Sample Space of an Experiment Session 3: Calculating the Probability of Mutually Exclusive Events
Alignment of Destination Math Courseware with
GRADE 4 Benchmarks (B1-B3)
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Pomona Benchmarks Ca. Standards Mastering Skills & Concepts: Course
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Mastering Skills & Concepts: Course
III
Mastering Skills & Concepts: Course
IV
Mastering Skills & Concepts: Course
V SAM04305-B3 Make predictions for simple probability situations: Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; 3/4) (2
2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; _)
Module: Data Analysis and Probability Unit: Modeling and Displaying Events Session 2: Looking at Chance
Module: Fundamentals of Probability Unit: Simple Probability Session 2: Calculating Probabilities on a Color Wheel Session 3: Determining Probability of Complementary Events Module: Fundamentals of Probability Unit: Probability of Combined Events Session 1: Calculating the Probability of Independent Events Session 2: Determining the Sample Space of an Experiment Session 3: Calculating the Probability of Mutually Exclusive Events