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Multiplication as Equal Groups FP-1
Vocabulary
- Equal Groups
- Groups that have the same number of objects. Concept used in multiplication and division situations.
5x6 = 30. There are 5 equal groups of 6 items.
- Equation
- A statement that two expressions are equal. 12-5=7 3=1 = 4
Student Activities
- Student Activity Book
-
- Pages 1-6
- Activity Work Book
-
- Pages 1-
- Homework & remembering Pages
-
- Math Pages 1-2
Additional Resources
- Multiplication Game - Math Goodies
- Multiplication Model & Activities
- Video Modeled Lesson
Arrays and Area FP-2
Vocabulary
- Array
- An arrangement of objects, pictures, or numbers in equal columns and equal rows.
- Row
- A part of a table or array that contains items arranged horizontally.
- Column
- In a data table, a vertical group of cells. In an array, a group of items arranged vertically.
- Area
- The amount of surface covered or enclosed by a figure measured in square units.
- Length
- The measure of a line segment, or one side or edge of a figure.
- Width
- One dimension of a 2 or 3 dimensional figure.
Student Activities
- Student Activity Book
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- Pages 7-10
- Homework & remembering Pages
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- Math Pages 3-4
Additional Resources
- Multiplication Game - Math Gizmo's
Explore the Multiplication Table FP-3
Vocabulary
- Commutative Property
- The property that states that changing the order in which numbers are added or multiplied does not change the sum. For all numbers a + b = b + a
- Row
- A part of a table or array that contains items arranged horizontally.
- Column
- In a data table, a vertical group of cells. In an array, a group of items arranged vertically.
- Inverse Operations
- Opposite or reverse operations that undo each other. Addition and Subtraction are inverse operations. Multiplication and division are inverse operations.
- Factor
- One or two or more numbers multiplied to find a product.
- Product
- The answer to a multiplication. In the problem 3 x 4 = 12, 12 is the product.
Student Activities
- Student Activity Book
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- Pages 11-12
- Homework & remembering Pages
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- Math Pages 5-6
Additional Resources
- 2 digit by 1 digit multiplication Interactive game
- Batters Up Baseball Interactive game- Challenging
- Fun Brain Baseball Interactive game
- Flash Card Drills- Beat the computer orally
Discover Multiplication Patterns FP-4
Student Activities
- Student Activity Book
-
- Pages 13-16
- Homework & remembering Pages
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- Math Pages 9-10
Additional Resources
- 2 digit by 1 digit multiplication Interactive game
- Batters Up Baseball Interactive game- Challenging
- Fun Brain Baseball Interactive game
- Flash Card Drills- Beat the computer orally
Multiplication Strategies FP-5
Student Activities
- Student Activity Book
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- Pages 17-18
- Homework & remembering Pages
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- Math Pages 9-10
Additional Resources
- Rhyming Strategy
Multiplication and Division Practice FP-6
Student Activities
- Student Activity Book
-
- Pages 21-22
- Student Workbook
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- Pages 5-18
- Homework & remembering Pages
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- Math Pages 11-12
Additional Resources
- 2 digit by 1 digit multiplication Interactive game
- Batters Up Baseball Interactive game- Challenging
- Fun Brain Baseball Interactive game
- Flash Card Drills- Beat the computer orally
Making Combinations 1-1
Vocabulary
- Combination
- A combination situation is one in which pairs or sets are counted. Tables can be used to show combinations.
|
Types of Sandwiches |
| bread |
cheese |
tuna |
peanut butter |
| white |
w + c |
w + t |
w + pb |
| wheat |
wh + c |
wh + t |
wh + pb |
- Factor
- One of two or more numbers multiplied to find a product.
- Product
- The result of a multiplication. 9 X 7 = 63, 63= product
Student Activities
- Student Activity Book
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- Pages 23-26
- Homework & remembering Pages
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- Math Pages 13-14
Additional Resources
- Cyber Chase Combinations Game
- Combination Lock Game
- Math Wire Logic Games
- Combinations Practice
Understanding Comparisons 1-2
Vocabulary
- Comparison
- – A situation in which two amounts are compared by addition or by multiplication. An additive comparison situation compares by asking or
telling how much more (how much less) one amount is than another. A multiplicative comparison situation compares by asking or telling
how many times as many one amount is as another. The multiplicative comparison may also be made using fraction language. For example,
you can say, “Sally has one fourth as much as Tom has, “instead of saying “Tom has 4 times as much as Sally has.”
Student Activities
- Student Activity Book
-
- Pages 23-32
- Homework & remembering Pages
-
- Math Pages 15-16
Additional Resources
- Multiplication Game - Math Goodies
Practice With Multiplication Problems 1-3
Vocabulary
- Variable
-
- An attribute or quantity that changes or varies.
- A symbol that can stand for a variable.
- Area
- The amount of surface covered by a figure measured in square units..
- Array
- An arrangement of objects, symbols, or numbers in equal rows and equal columns.
- Comparison
- – A situation in which two amounts are compared by addition or by multiplication. An additive comparison situation compares by asking or
telling how much more (how much less) one amount is than another. A multiplicative comparison situation compares by asking or telling
how many times as many one amount is as another. The multiplicative comparison may also be made using fraction language. For example,
you can say, “Sally has one fourth as much as Tom has, “instead of saying “Tom has 4 times as much as Sally has.”
- Equal Groups
- Groups that have the same number of objects.
- Combination
- A combination situation is one in which pairs or sets are counted. Tables can be used to show combinations.
|
Types of Sandwiches |
| bread |
cheese |
tuna |
peanut butter |
| white |
w + c |
w + t |
w + pb |
| wheat |
wh + c |
wh + t |
wh + pb |
Student Activities
- Student Activity Book
-
- Pages 33-34
- Homework & remembering Pages
-
- Math Pages 17-18
Additional Resources
- Multiplication Game
- Baseball Multiplication Game
- Fun Brain Math Games
- School House Flash Cards
- Modeled Lesson
Writing Word Problems 1-4
Vocabulary
- Factor
- One of two or more numbers multiplied to find a product.
- Product
- The result of a multiplication. 9 X 7 = 63, 63= product
Student Activities
- Student Activity Book
-
- Pages 35-36
- Homework & remembering Pages
-
- Math Pages 19-20
Additional Resources
- Multiplication Game
Functions 1-5
Vocabulary
- Function
- A consistent relationship between two sets of numbers. Each number in one of the sets is paired with exactly one number in the other set. A function can be shown in a chart, or as a set of ordered pairs. Example: The relationship between the number of yards and the number of feet.
Variable.
Student Activities
- Student Activity Book
-
- Pages 37-38
- Homework & remembering Pages
-
- Math Pages 21-22
Additional Resources
- Cyberchase
Equations with Parentheses 1-6
Vocabulary
- Equation
- A statement that two expressions are equal. An equation always has an equals sign. Example: 32 + 35 = 67
- Parentheses
- Symbols used to group numbers together. 7 + (3 X 4) = 19
Student Activities
- Student Activity Book
-
- Pages 39-40
- Homework & remembering Pages
-
- Math Pages 23-24
Additional Resources
- Math Mastery- Video Model
Combinations and Comparison 1-7
Vocabulary
- Combination
- A combination situation is one in which pairs or sets are counted. Tables can be used to show combinations.
|
Types of Sandwiches |
| bread |
cheese |
tuna |
peanut butter |
| white |
w + c |
w + t |
w + pb |
| wheat |
wh + c |
wh + t |
wh + pb |
- Comparison –
- A situation in which two amounts are compared by addition or by multiplication. An additive comparison situation compares by asking or telling how much more (how much less) one amount is than another. A multiplicative comparison situation compares by asking or telling how many times as many one amount is as another. The multiplicative comparison may also be made using fraction language. For example, you can say, “Sally has one fourth as much as Tom has, “instead of saying “Tom has 4 times as much as Sally has.”
- Misleading
- A comparing sentence containing language that may trick you into doing the wrong operation. Example: John’s age is 3 more than Jessica’s. If John is 12, how old is Jessica?
Student Activities
- Student Activity Book
-
- Pages 41-42
- Homework & remembering Pages
-
- Math Pages 25-26
Additional Resources
- Combinations Practice
- Complex Combinations Practice
Practice with Factors 1-8
Vocabulary
- Factor
- One of two or more numbers multiplied to find a product.
Student Activities
- Student Activity Book
-
- Pages 43-44
- Homework & remembering Pages
-
- Math Pages 27-28
Additional Resources
- The Factor Game
Multistep Problems 1-9
Student Activities
- Student Activity Book
-
- Pages 45-46
- Homework & remembering Pages
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- Math Pages 29-30
Additional Resources
- The Factor Game
Properties of Multiplication 1-10
Vocabulary
- Commutative Property
- The property that states that changing the order in which numbers are added or multiplied does not change the sum. For all numbers a + b = b + a
- Associative Property-
- Changing the grouping of factors does not change the product.
3 X (5 X 7) = (3 X 5) X 7
- Distributive Property
- You can multiply a sum by a number, or multiply each addend by the number and add the products; the result is the same. 3 X (2 + 4) = (3 X 2) + (3 X 4)
- Expression
- A combination of one or more numbers, variables, or numbers
and variables with one or more operations. Examples: 4, 6n, 6n-5, 7 + 4, 2(3
+ 4)
- Example
- A specific instance that demonstrates a general statement.
- Counterexample
- An example that proves that a general statement is false.
Student Activities
- Student Activity Book
-
- Pages 47-49
- Homework & remembering Pages
-
- Math Pages 31-32
Additional Resources
- Property Practice
Use Mathematical Processes 1-11
Student Activities
- Student Activity Book
-
- Pages 51-52
- Homework & remembering Pages
-
- Math Pages 33-34
Unit Review 1-12
Student Activities
- Student Activity Book
-
- Pages 53 -54
Square Units and Area 2-1
Vocabulary
- Meter
- The basic unit of length in the metric system.
- Centimeter
- A unit of measure in the metric system that equals one hundredth of a meter.
1 cm = 0.01 m
- Decimeter
- A unit of measure in the metric system that equals one tenth of a meter. 1 dm = 0.1 m
- Millimeter
- A unit of measure in the metric system that equals one thousandth of a meter.
1 mm = 0.001 m
Student Activities
- Student Activity Book
-
- Pages 55-58
- Homework & remembering Pages
-
- Math Pages 35 - 36
Additional Resources
- www.Answers.com
- Square Units
- Area of a Triangle
- Area of a Parallelogram
Perimeter and Area of Triangles 2-2
Vocabulary
- Perimeter
- The distance around a figure.
- Area
- The amount of surface covered by a figure measured in square units.
- Square centimeter
- A unit of area equal to the area of a square with one – cm sides.
- Square unit
- A unit of area equal to the area of a square with one – unit sides.
- Base
- For a triangle or parallelogram, a base is any side. For a trapezoid, a base is either of the parallel sides. For a prism, a base is one of the congruent parallel faces. For a pyramid, the base is the face that does not touch the vertex of the pyramid.
- Height
- The perpendicular distance from a base of a figure to the highest point.
Student Activities
- Student Activity Book
-
- Pages 59-62
- Homework & remembering Pages
-
- Math Pages 37-38
Additional Resources
- Perimeter
- Area
- Perimeter & Area
Areas of Right Triangles and Parallelograms 2-3
Vocabulary
- Acute angle
- An angle whose measure is less than 90°.
- Right angle
- An angle that measures 90°
- Obtuse angle
- An angle greater than a right angle and less than a straight angle.
- Triangle
- A polygon with three sides.
- Rectangle
- A parallelogram with four right angles.
- Height
- The perpendicular distance from a base of a figure to the highest point.
- Perimeter
- The distance around a figure.
- Parallelogram
- A quadrilateral with both pairs of opposite sides parallel.
- Base
- For a triangle or parallelogram, a base is any side. For a trapezoid, a base is either of the parallel sides. For a prism, a base is one of the congruent parallel faces. For a pyramid, the base is the face that does not touch the vertex of the pyramid.
- Perpendicular
- Lines, line segments, or rays are perpendicular if they form right angles
Student Activities
- Student Activity Book
-
- Pages 65-67
- Homework & remembering Pages
-
- Math Pages 39-40
Additional Resources
- Area of a Triangle Lesson
- Area of a Triangle
- Area of a Triangle Interactive Quiz
- Area of a Triangle Activity
Angle Measures - AL1
Vocabulary
- Acute Angle
- An angle that measures less than 90°.
- Angle
- The amount of turning or the amount of opening between two rays that have the same endpoint.
- Complementary Angle
- Two angles are complementary angles if the sum of their measures is 90°.
- Degree (°)
- A degree is a unit of measure for angles. There are 360 degrees in a circle.
- End point
- The point at either end of a line segment or the point at the end of a ray.
- Obtuse Angle
- An angle that measures more than 90°.
- Protractor
- A tool for measuring angles.
- Ray
- A part of a line with one endpoint that extends indefinitely in one direction.
- Reflex Angle
- An angles that measures greater than 180°.
- Right Angle
- An angle that measures 90°.
- Sides
- The sides of an angle are two rays with the same endpoint.
- Straight Angle
- An angle that measures 180°.
- Supplementary Angle
- Two angles are supplementary angles if the sum of their measures is 180°.
- Vertex
- A common point of two rays or line segments that form an angle.
Additional Resources
- Investigating Protractors
- Cyberchase Game Angle Measurement
- Fun Brain Game Angle Measurement
Angle in the Real World - AL2
Vocabulary
- Acute Angle
- An angle that measures less than 90°.
- Angle
- The amount of turning or the amount of opening between two rays that have the same endpoint.
- Complementary Angle
- Two angles are complementary angles if the sum of their measures is 90°.
- Degree (°)
- A degree is a unit of measure for angles. There are 360 degrees in a circle.
- End point
- The point at either end of a line segment or the point at the end of a ray.
- Obtuse Angle
- An angle that measures more than 90°.
- Protractor
- A tool for measuring angles.
- Ray
- A part of a line with one endpoint that extends indefinitely in one direction.
- Reflex Angle
- An angles that measures greater than 180°.
- Right Angle
- An angle that measures 90°.
- Sides
- The sides of an angle are two rays with the same endpoint.
- Straight Angle
- An angle that measures 180°.
- Supplementary Angle
- Two angles are supplementary angles if the sum of their measures is 180°.
- Vertex
- A common point of two rays or line segments that form an angle.
Additional Resources
- Investigating Protractors
- Cyberchase Game Angle Measurement
- Fun Brain Game Angle Measurement
Angles in Polygons - AL3
Vocabulary
- Parallel Lines
- Lines that do not intersect. 2. Lines that are always the same distance apart.
- Polygon
- A two-dimensional connected figure made of line segments in which each endpoint of every side meets with
an endpoint of exactly one other side.
- Quadrilateral
- A polygon with four sides.
- Regular Polygon
- A polygon with all sides equal. 2. A polygon with all sides the same length an all angles the same measure.
- Trapezoid
- A quadrilateral with exactly one pair of parallel sides.
Additional Resources
- Angles in Polygons
- Angles in Polygons Quiz
- Angles in Polygons Activity
- Angles In Polygons Information
Making Shapes - AL4
Vocabulary
- Concave
- A polygon is concave if at least one of its interior angles is greater than 180°. If two points on the perimeter
of a polygon are joined by a line segment, and the line segment is outside the polygon, then the polygon is concave.
- Convex
- A polygon with all interior angles measuring less than 180°. If any two points on the perimeter of a polygon are
joined by a line segment, and the line segment is inside the polygon, then the polygon is convex. All regular polygons
are convex.
- Mammal
- A vertebrate that usually has hair and nurses its young.
- Obtuse Triangle
- A triangle that has an obtuse angle. 2. An obtuse triangle contains one angle greater than 90°.
- Parallelogram
- A quadrilateral with two pairs of congruent, parallel sides.
- Pentagon
- A five-sided polygon.
- Polygon
- A two-dimensional connected figure made of line segments in which each endpoint of every side meets with an
endpoint of exactly one other side.
- Quadrilateral
- A polygon with four sides.
- Rectangle
-
- A quadrilateral with four right angles.
- A quadrilateral with two pairs of congruent, parallel sides and four right angles.
- Rhombus
-
- A quadrilateral with four equal sides.
- An equilateral parallelogram. Its diagonals are perpendicular.
- Square
- A quadrilateral with four congruent (equal) sides and four right angles.
- Vertebrate
- An animal with a hard internal skeleton including a backbone and a brain enclosed in a skull.
Additional Resources
- Polygon Models
- Polygon Data
- Polygon Images
- Polygon Playground
- Polygon Game- Helps with identifying Polygons & their Properties
- Polygon ID Game
Diagonals and Sides- AL5
Vocabulary
- Adjacent
- Next to.
- Congruent
- Having exactly the same size and shape.
- Diagonal
- A line segment that connects nonadjacent corners (vertices) of a polygon.
Additional Resources
- Interactive Exploration of Diagonals & Sides
- Advanced Explanation
- Diagonals & Sides Model
Parallel, Perpendicular - Diagonals and Sides- AL6
Vocabulary
- Adjacent
- Next to.
- Congruent
- Having exactly the same size and shape.
- Diagonal
- A line segment that connects nonadjacent corners (vertices) of a polygon.
- Parallel
-
- Lines that are in the same direction
- Always the same distance apart. Parallel Symbol - ||
- Perpendicular
-
- Lines that meet at right angles (90°).
- Forming right angles (90°). Perpendicular Symbol - |_
Additional Resources
- Student Definition
- Yahoo Math Answers
- Practice Activity
Consolidate Perimeter and Area 2-5
Vocabulary
- Triangle
- A polygon with three sides.
- Dimensions
- The height, length, or width.
- Parallelogram
- A quadrilateral with both pairs of opposite sides parallel.
- Complex figures
- A figure made by combining simple geometric figures like rectangles and triangles.
- Hexagon
- A six-sided polygon.
- Pentagon
- A polygon with five sides.
- Right triangle
- A triangle with one right angle.
- Acute triangle
- A triangle with three acute angles.
- Obtuse triangle
- A triangle with one obtuse angle.
- Equilateral triangle
- A triangle where all sides are equal.
- Isosceles triangle
- A triangle with at least two congruent sides.
- Scalene triangle
- A triangle with no equal sides is a scalene triangle.
Student Activities
- Student Activity Book
-
- Pages 73-76
- Homework & remembering Pages
-
- Math Pages 43-44
Additional Resources
- Math League
- Fun Brain
- Math Playground
- Area & Perimeter Instruction
Customary Units of Length 2-6
Vocabulary
- Inch
- A U.S. customary unit of length. There are 12 inches in 1 foot.
- Square inch
- A unit of area equal to the area of a square with one- inch sides.
- Foot
- A U.S. customary unit of length equal to 12 inches and 1/3 yard.
- Square foot
- A unit of area equal to the area of a square with one- foot sides.
- Yard
- A U.S. customary unit of length equal to 3 feet or 36 inches
- Square yard
- A unit of area equal to the area of a square with one- yard sides.
Student Activities
- Student Activity Book
-
- Pages 77-80
- Homework & remembering Pages
-
- Math Pages 45-46
Additional Resources
- Harcourt Measurement Activity
- AAA Math Measurement
Estimate the measure of an object in one system given the measure of that object in another system
-AL7
Vocabulary
- Gallon
- A U.S. customary unit for measuring capacity. One gallon is equal
to 4 quarts.
- Liter
- The basic unit of capacity in the metric system.
- Quart
- A U.S. customary unit for measuring capacity. One quart equals 32
ounces.
- Mile
- A U.S. customary unit of length that equals 5280 feet.
- Yard
- A U.S. customary unit of length equal to 3 feet or 36 inches
- Inch
- A U.S. customary unit of length. There are 12 inches in 1 foot.
- Meter
- The basic unit of length in the metric system. A meter is a little
longer than a yard.
- Kilometer
- A metric unit of length equal to 1,000 meters.
- Centimeter
- A metric unit of length equal to 0.01 (1/100) of a meter.
Student Activities
- Student Activity Book
-
- Pages 37-38
- Homework & remembering Pages
-
- Math Pages 21-22
Additional Resources
- Measurement Chart
- Measurement Conversion Game
Decimals as Equal Divisions 3-1
Student Activities
- Student Activity Book
-
- Pages 83-84
- Homework & remembering Pages
-
- Math Pages 47-48
Additional Resources
- Decimals Lesson
- Math League- Decimals
Equate and Compare 3-2
Student Activities
- Student Activity Book
-
- Pages 85-86
- Homework & remembering Pages
-
- Math Pages 49 -50
Thousands and Thousandths 3-3
Student Activities
- Student Activity Book
-
- Pages 87 - 90
- Homework & remembering Pages
-
- Math Pages 51-52
Additional Resources
- Math League - Decimals
Adding and Subtracting Decimals 3-4
Vocabulary
- Meter (m)
- The basic unit of length in the metric system.
- Decimeter (dm)
- A unit of measure in the metric system that equals one tenth of a meter.
- Centimeter (cm)
- A unit of measure in the metric system that equals one hundredth of a meter.
- Millimeter (mm)
- A unit of length in the metric system that equals one thousandth of a meter. 1mm=0.001 m
Student Activities
- Student Activity Book
-
- Pages 91-92
- Homework & remembering Pages
-
- Math Pages 53-54
Additional Resources
- Adding Decimals Activity
- Subtracting Decimals Activity
Billions to Billionths 3-5
Vocabulary
- Standard form
- The form of a number written using digits.
- Short word form
- A way of writing a number that uses digits and words. Example: Short word form of 12,835. 12 thousand, 832
- Word form
- the form of a number written using words instead of digits. Example: Six hundred thirty-nine.
- Expanded form
- A way of writing a number that shows the value of each of its digits.
835 = 800 + 30 + 5
Student Activities
- Student Activity Book
-
- Pages 96-97
- Homework & remembering Pages
-
- Math Pages 55-56
Additional Resources
- I know That- Place
Value
- AAA Math - Place Value
- Place Value
Use Place Value 3-6
Student Activities
- Student Activity Book
-
- Pages 99-100
- Homework & remembering Pages
-
- Math Pages 57-58
Additional Resources
- Place Value Practice
- I Know That- Place Value
Add Whole Numbers and Decimals 3-7
Student Activities
- Student Activity Book
-
- Pages 101-102
- Homework & remembering Pages
-
- Math Pages 59-60
Additional Resources
- Quia - Decimal Quiz
- Math Frog - Additon & Subtraction of Decimals
Addition to Millions 3-8
Student Activities
- Student Activity Book
-
- Pages 103-104
- Homework & remembering Pages
-
- Math Pages 61-62
Add'um Up - Fractions/Judging the Reasonableness
of a Solution - AL
Vocabulary
- Numerator
- The number written above the line in a fraction. The numerator tell the number of parts being considered. For example,
the 2 is the numerator in the fraction 2/5. In this case, we are interested in two of the five parts.
- Denominator
- The number below the line in the fraction. The denominator indicates the number of equal parts in which the unit whole
is divided.
Additional Resources
- Fractions parts of a Whole
- Naming Fractions
Functions 1-5
Vocabulary
- Function
- A consistent relationship between two sets of numbers. Each number in one of the sets is paired with exactly one number in the other set. A function can be shown in a chart, or as a set of ordered pairs. Example: The relationship between the number of yards and the number of feet.
Variable.
Student Activities
- Student Activity Book
-
- Pages 37-38
- Homework & remembering Pages
-
- Math Pages 21-22
Additional Resources
- Cyberchase
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