Curriculum & Grade 4: Mathematics Pacing Guide
Grade 7: Pre-Algebra
Martinsville City Public Schools Revised Summer 2011 Updated Summer 2012 TJV
Martinsville City Public Schools’ Instructional Plan of Action The Martinsville City Public Schools Curriculum Guide was developed using the Standards of Learning for Virginia Public Schools and the State Curriculum Framework. Also, an emphasis was placed on the integration of 21st Century Skills into all areas of K-12 education. Martinsville City Public Schools believes that to compete in a global community, all children must develop lifelong independent skills that demonstrate initiative, self direction, and the ability to problem-solve, innovate and create, and communicate by writing and speaking effectively. To provide an avenue for students to develop these important qualifications and provide a more rigorous learning environment, Martinsville City Public Schools encourages problem-based learning in all classrooms. The collaboration between students in this type of learning environment develops skills in leadership, accountability, social, and cross-cultural understanding as they communicate and think critically to problem-solve real world applications of the curriculum. Martinsville City Public Schools’ Core curriculum prepares students to achieve these 21st Century skills through competent cross- curricular activities that apply knowledge of concepts learned in other areas of study and in the community. Standard benchmark assessments along with project-based assessments and end of year SOL tests are administered to ensure mastery of the concepts. PALS assessments are used to ensure proficiency in Reading for grades Pre-K through Eight. To further ensure that all students learn to the best of their abilities, a Response to Intervention (RtI) system, using STAR Math and STAR Reading, is in place to guide classroom instruction, screen and progress monitor students so that intervention and enrichment activities are scheduled based on the students individual needs throughout the year.
Curriculum Guide OVERVIEW The Martinsville City Public Schools’ Curriculum Guide is designed to provide a reference document for each subject and grade level that indicates The Curriculum’s Big Ideas, Instructional Strategies, Model lessons, & Assessment Instruments and suggested time frames to be used as a Guide for classroom instruction. In addition, Learning Targets at a Glance contains an overview of the curriculum taught for each grading period for each subject and grade level. 21st Century Internet Safety procedures are listed, and for Grades Three through Twelve, an SOL Testing Blueprint Target is included to give insight to the strands that will receive the most focus on the SOL Assessments. Two symbols will be used to denote the 21st Century Focus: This symbol is used through to denote a 21st Century skill. This symbol is used throughout to denote a 21st Century Global Connection.
Learning Overview The Seventh Grade student will be provided many opportunities to engage in experiences involving problem solving, data collection and analysis, and algebraic thinking. The Virginia Standards of Learning provide the foundation for seventh grade mathematics. The standards are organized into 6 strands: Number/Number Sense: The focus of instruction allows students to investigate and develop an understanding of number sense by modeling numbers, using different representations. Students should develop strategies for reading, writing, and judging the size of numbers, fractions and decimals by comparing them, using a variety of models and benchmarks as ferments. Computation and Estimation: The focus of instruction allows students to develop fluency in multiplication and division with whole numbers and decimals, using models, explanation, and proficiency with basic facts and algorithms. Measurement: The focus of instruction allows students to be actively involved in measurement activities that focus on measuring objects and estimating measurements while interacting with their environment. Geometry: The focus of instruction allows students to develop and understanding about how geometric figures relate to each other and begin to use mathematical reasoning to analyze and justify properties and relationships among figures. Probability and Statistics: The focus of instructions allows students to deepen their understanding of concepts of probability by offering opportunities to set up models simulating practical events, engage students in activities to enhance understanding fairness, and activities that instill a spirit of investigation and exploration through use
of manipulatives.
Curriculum Big Ideas
Instructional Strategies & Model Lessons
The organizing topics, big ideas, or strands under which student learning is organized and the Essential Understandings, Knowledge and Skills students must develop in order to master these concepts (typically from the standards found in the VDOE curriculum framework). Essential Understandings—what we want students to understand about this idea, topic, or concept Essential Knowledge—What students must know in order to develop this understanding Essential Skills—What students must be able to do in order to demonstrate that understanding st
Standards of Learning that meet the criteria for 21 Century skills will be identified by this symbol
Standards of Learning that meet the 21st Century Learning of Global Connections will be designated with this symbol
Resources, strategies, and models for delivery of the curriculum. Includes suggested teaching strategies, links to model lesson plans links to frequently referenced online sites, and suggested teacher resources and where to find them (online and hard copy, such as texts, primary source documents, etc.)
Assessment Items Examples of formative and summative assessments for measuring student mastery of the curriculum. Includes essential questions, writing prompts, sample test items, benchmark test links, model performance-based assessments, and other assessment resources.
Learning Targets at a Glance – 7th
Grade Pre-Algebra
First Quarter 8/13-10/15
Second Quarter 10/16-12/21
Third Quarter 1/8-3/13
Fourth Quarter 3/14-5/22
7.3 Integers 7.16a,b,d Properties of Operations -Real Numbers 7.1 a-d Rational Numbers 7.12 Tables, Graphs, Rules and words
7.13a 7.2 7.13b 7.14 7.15 7.16
7.8 7.7 7.5a 7.5b
7.10 7.9 7.11
Algebraic Expressions Variable Expressions Algebraic Expressions Linear Equations Inequalities Properties of Operations
Transformations Quadrilaterals Volume/Surface Cylinders Volume/Surface Rec. Prisms & Cylinders Proportional Reasoning Plane Figures Rectangular Prism-change attributes
7.4 7.6 7.5c
Fundamental Counting Principle Probability(experimental/theoretical) Histograms
Grade 7 Mathematics Test Blueprint Summary Table 50 question test Number/Number Sense
Measurement/Geometry
Probability, Statistics, Patterns, Functions and Algebra
13
21
Computation/Estimation
16
Suggested Time Allocation for a 60 Minute Math Block Bellringer
Skill Lesson
Practice/Small Group Instruction
20 minutes 10 minutes 0%
30 minutes
21st Century Internet Safety Procedures
1. Teachers should review all internet sites and links prior to using them in the classroom. During this review, teachers need to ensure the appropriateness of the content on the site. Checking for broken links and paying attention to inappropriate pop-ups or solicitations of information. 2. Teachers should circulate throughout the classroom while students are on the internet to make sure the students are on the appropriate site and are not minimizing other inappropriate sites. 3. Teachers should periodically check and update any web addresses that they have on their MCPS webpage. 4. Teachers should assure that the use of these websites correlate with the objectives of the lesson and provide students with the appropriate challenges.
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.3 The student will a.) Model addition, subtraction, multiplication and division of integers b.) Add, subtract, multiply and divide integers. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • st
1 Grading period
• •
•
Model addition, subtraction, multiplication and division of integers using pictorial representations of concrete manipulatives. Add, subtract, multiply and divide integers. Simplify numerical expressions involving addition, subtraction, multiplication and division of integers using order of operations. Solve practical problems involving addition, subtraction, multiplication, and division with integers.
Integers
Manipulatives
Technology Resources
Print Resources
VDOE Word Wall Voc
Compass Learning
VDOE ESS: 7.3 -Integers: Multiplication/Division -Integers: Addition/Subtraction
Dinah Zikes Foldables Numberline Two-color counters Algeblocks Calculators
Study Island Smartboard Powerpoints JLab
Glencoe
IXL Math Math’school Module 3 Algebra’school Module 1.2 NLVM -Rectangle Multiplication of Intergers -Color chips
ARI Companion: 7.3 Integers Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.3
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.16 The student will apply the following properties of operations with real numbers: a.) the commutative and associative properties for addition and multiplication b.) the distributive property c.) the additive and multiplicative identity properties d.) the additive and multiplicative inverse properties e.) the multiplicative property of zero st
1 Grading period
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • •
Identity properties of operations used in simplifying expressions Apply the properties of operations to simplify expressions
Zero Commutative Property Associative Property Multiplicative Identity Properties Multiplicative Inverse Property Property of Zero Distributive Property
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Print Resources
Study Island
VDOE ESS: 7.16 Properties
Smartboard
Glencoe
Powerpoints
IXL Math
ARI Companion: 7.16 Order of Operations and Properties
Math’school Module 1.3, 1.4
Reteaching: VA. SOL Coach and Buckle Down
JLab
Algebra’school Module 2.3
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.16
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.1
st
1 Grading period
The student will a.) Investigate and describe the concept of negative exponents for powers of ten b.) Determine scientific notation for numbers greater than zero c.) Compare and order fractions, decimals, percents and numbers written in scientific notation d.) Determine square roots e.) Identify and describe absolute value for rational numbers The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • • • • •
•
•
•
Recognize powers of 10 with negative exponents by examining patterns Write a power of 10 with a negative exponent in fraction and decimal form Write a number greater than 0 in scientific notation Compare and determine equivalent relationships between numbers larger than 0 written in scientific notation Represent a number in a fraction, decimal, and percent forms. Compare, order, and determine equivalent relationships among fractions, decimals, and percents. Decimals are limited to the thousandths place, and percents are limited to the tenths place. Ordering is limited to no more than 4 numbers. Order no more than 3 numbers greater than 0 written in scientific notation Determine the square root of a perfect square less than or equal to 400.
Exponential Notations
Base
Exponent
Power
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Fraction Bars
Powerpoints
VDOE ESS: 7.1 -Powers of Ten -Scientific Notation -Ordering Fractions -Square Roots -Absolute Value
Base-10 Blocks
JLab
Glencoe
Fraction Circles
IXL Math
Dinah Zikes Foldables
Graph Paper Perfect Square
Natural Numbers
Print Resources
Numberlines Calculators
Study Island Smartboard
Math’school Module 5.6, 3.1 Algebra’school Module 1.4, 6.1
ARI Companion: 7.1c Comparing and Ordering 7.1b Whole Numbers Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.1
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.12 The student will represent relationships with tables, graphs, rules, and words The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to •
1st Grading period
Describe and represent relations and functions, using tables, graphs, rules, and words, Given on representation, students will be able to represent the relation in another form.
Table Graph Rule
Assessment Items
Manipulatives
Technology Resources
Print Resources
VDOE Word Wall Voc
Compass Learning
VDOE ESS: 7.12 Relationships Round Table
STAR Math
Glencoe N/A
Benchmarks
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
ARI Companion: 7.12 Patterns, Functions, Algebra Reteaching: VA. SOL Coach and Buckle Down
Instructional Notes
ARDT (target date Jan. 2012)
Teacher made assessments Flanagan Tests SOL 7.12
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.13 The student will a.) Write verbal expressions as algebraic expressions and sentences as equations and vice versa b.) Evaluate algebraic expressions for given replacement values of the variables The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to nd
2 Grading period
• • •
• •
Write verbal expressions as algebraic expressions. Expressions will be limited to no more than 2 operations Write verbal sentences as algebraic equations. Equations will contain no more than 1 variable term. Translate algebraic expressions and equations to verbal expressions and sentences. Expressions will be limited to no more than 2 operations. Identify examples of expressions and equations. Apply the order of operations to evaluate expressions for given replacement values of the variables. Limit the number of replacements to no more than 3 per expression.
Verbal Expression
Algebraic Expression
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.13 Translate and Evaluate
STAR Math
Glencoe N/A
Benchmarks
ARI Companion: 7.13 Patterns, Function, Algebra Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012)
Teacher made assessments Flanagan Tests SOL 7.13
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.2 The student will describe and represent arithmetic and geometric sequences using variable expressions The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to •
nd
2 Grading period
• • •
Analyze arithmetic and geometric sequences to discover a variety of patterns Identify the common differences in a n arithmetic sequence Identify the common ration in a geometric sequence Given an arithmetic or geometric sequence, write a variable expression to describe the relationship between two consecutive terms in the sequence
Common ration Common differences Sequences
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard
Numeric patterns
Powerpoints
Geometric sequences
JLab IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.2 Arithmetic and Geometric Sequences
STAR Math
Glencoe
Teacher made assessments
ARI Companion: 7.2 Pattern, Functions, Algebra Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012) Benchmarks
Flanagan Tests SOL 7.2
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.13 The student will a.) Write verbal expressions as algebraic expressions and sentences as equations and vice versa b.) Evaluate algebraic expressions for given replacement values of the variables The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to
2nd Grading period
• • •
• •
Write verbal expressions as algebraic expressions. Expressions will be limited to no more than 2 operations Write verbal sentences as algebraic equations. Equations will contain no more than 1 variable term. Translate algebraic expressions and equations to verbal expressions and sentences. Expressions will be limited to no more than 2 operations. Identify examples of expressions and equations. Apply the order of operations to evaluate expressions for given replacement values of the variables. Limit the number of replacements to no more than 3 per expression.
Verbal Expression
Algebraic Expression
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.13 Translate and Evaluate
STAR Math
Glencoe N/A
Benchmarks
ARI Companion: 7.13 Patterns, Function, Algebra Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012)
Teacher made assessments Flanagan Tests SOL 7.13
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.16 The student will apply the following properties of operations with real numbers: a.) the commutative and associative properties for addition and multiplication b.) the distributive property c.) the additive and multiplicative identity properties d.) the additive and multiplicative inverse properties e.) the multiplicative property of zero nd
2 Grading period
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • •
Identity properties of operations used in simplifying expressions Apply the properties of operations to simplify expressions
Zero Commutative Property Associative Property Multiplicative Identity Properties Multiplicative Inverse Property Property of Zero Distributive Property
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Print Resources
Study Island
VDOE ESS: 7.16 Properties
Smartboard
Glencoe
Powerpoints JLab IXL Math
ARI Companion: 7.16 Order of Operations and Properties Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.16
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.14 The student will a.) Solve one-and two-step linear equations in one variable b.) Solve practical problems requiring the solution of one-and two-step linear equations The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to nd
2 Grading period
•
• •
Represent and demonstrate steps for solving one-and two-step equations in one variable using concrete materials, pictorial representations and algebraic sentences Solve one-and two-step linear equations in one variable Solve practical problems that require the solution of a one- or two-step linear equation
Linear Equation
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Print Resources VDOE ESS: 7.14 Equations Glencoe N/A ARI Companion: 7.14 Patterns, Function, Algebra Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.14
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.15 The student will a.) Solve one-step inequalities in one variable b.) Graph solutions to inequalities on the numberline c.) The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • nd
2 Grading period
• •
Represent and demonstrate steps in solving inequlaities in one variable using concrete materials, pictorial representations and algebraic sentences Graph solutions to inequalities on the number line. Identify a numerical value that satisfies the inequality
Inequalities
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Print Resources VDOE ESS: 7.15 Inequalities Glencoe N/A ARI Companion: 7.15 Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.15
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.16 The student will apply the following properties of operations with real numbers: a.) the commutative and associative properties for addition and multiplication b.) the distributive property c.) the additive and multiplicative identity properties d.) the additive and multiplicative inverse properties e.) the multiplicative property of zero nd
2 Grading period
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • •
Identity properties of operations used in simplifying expressions Apply the properties of operations to simplify expressions
Zero Commutative Property Associative Property Multiplicative Identity Properties Multiplicative Inverse Property Property of Zero Distributive Property
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Print Resources
Study Island
VDOE ESS: 7.16 Properties
Smartboard
Glencoe
Powerpoints JLab IXL Math
ARI Companion: 7.16 Order of Operations and Properties Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.16
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.8 The student, given a polygon in the coordinate plane, will represent transformations (reflection, dilations, rotations. And translations) by graphing in the coordinate plane. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • rd
3 Grading period
• • • • • •
Identify the coordinates of the image of a right triangle or rectangle that has been translated either vertically, horizontally, or a combination of a vertical and horizontal translation Identify the coordinates of the image of a right triangle or rectangle that has been rotated 90º or 180º about the origin Identify the coordinates of the image of a right triangle or rectangle that has been reflected over the x- or y- axis Sketch the image of a right triangle or rectangle translated vertically or horizontally Sketch the image of a right triangle or rectangle that has been rotated 90º or 180º about the origin Sketch the image of a right triangle or rectangle that has been reflected over the xor y-axis Sketch the image of a dilation of a right triangle or rectangle limited to a scale factor of ¼,½, 2,3,or 4
Transformations Reflections Dilations Rotations Translations
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints
Right triangle
JLab
Rectangle
IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.8 -Rotation -Dilation -Translation and Reflection
STAR Math
Glencoe
Teacher made assessments
ARI Companion: 7.8 Polygons
Flanagan Tests SOL 7.8
Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012) Benchmarks
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.7 The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • rd
3 Grading period
•
Compare and contrast attributes of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid Identify the classification(s) to which a quadrilateral belongs, using deductive reasoning and inferences.
Quadrilaterals Parallelograms Rectangles Trapezoids Rhombi Squares
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Print Resources
Study Island
VDOE ESS: 7.7 Quadrilateral Sort
Smartboard
Glencoe
Powerpoints JLab IXL Math
ARI Companion: 7.7 Polygons Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.7
Content: Mathematics Pacing / Time Frame
Grade Level: 6
Unit/Learning Focus
Instructional Strategies & Model Lessons Assessment Items Essential Vocabulary
rd
3 Grading period
SOL 7.5 The student will a.) Describe volume and surface area of cylinders b.) Solve practical problems involving the volume and surface area of rectangular prisms and cylinders c.) Describe how changing one measured attribute of a rectangle prism affects its volume and surface area The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • Determine if a practical problem involving a rectangular prism or cylinder represents the application of volume or surface area Find the surface area of a rectangular prism • • Solve practical problems that require finding the surface area of a rectangular prism. • Find the surface area of a cylinder • Solve practical problems that require finding the surface area of a cylinder • Find the volume of a rectangular prism • Solve practical problems that require finding the volume of a rectangular prism • Find the volume of a cylinder • Solve practical problems that require finding the volume of a cylinder • Describe how the volume of a rectangular prism is affected when one measured attribute is multiplied by a scald factor. Problems will be limited to changing attributes by scale factors only • Describe how the surface area of a rectangular prism is affected when one measured attribute is multiplied by a scale factor. Problems will be limited to changing attributes by scale factors only.
Surface Area
Volume
Rectangular Prism
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Print Resources VDOE ESS:
JLab
7.5 -Surface Area and Volume of a Cylinder -Volume of a Rectangular Prism -Surface Area of a Rectangular Prism -Attributes of a Rectangular Prism
IXL Math
Glencoe
Study Island Smartboard Powerpoints
ARI Companion: 7.5 3-D Geometry Reteaching: VA. SOL Coach and Buckle Down
Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.5
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.4 The student will solve single-step and multistep practical problems, using proportional reasoning. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • rd
3 Grading period
• •
•
•
•
Write proportions that represent equivalent relationships between two sets. Solve a proportion to find a missing term. Apply proportions to convert units of measurement between the U.S. Customary System and the metric system. Calculators may be used. Apply proportions to solve practical problems, including scale drawings. Scale factors shall have denominators no greater than 12 and decimals no less than tenths. Calculators may be used. Using 10% as a benchmark, mentally compute 5%, 10%, 15%, or 20% in a practical situation such as tips, tax, and discounts. Solve problems involving tips, tax, and discounts. Limit problems to only one percent computation per problem.
Proportions Equality
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints
ratios Tips Tax Discounts
JLab IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.4 -Sales Tax and Tip -Proportions
STAR Math
Glencoe
Benchmarks
ARI Companion: 7.4 Percents Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012)
Teacher made assessments Flanagan Tests SOL 7.4
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.6 The student will determine whether plane figures-quadrilaterals and triangles- are similar and write proportions to express the relationships between corresponding sides of similar figures
rd
3 Grading period
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to •
• •
•
Identify corresponding sides and corresponding and congruent angles of similar figures using the traditional notation of curved lines for the angles. Write proportions to express the relationships between the lengths of corresponding sides of similar figures. Determine if quadrilaterals or triangles are similar by examining congruence of corresponding angles and proportionality of corresponding sides. Given two similar figures, write similarity statements using symbols such as ΔABC~ΔDEF, ∠A corresponding to ∠D, and AB corresponds to DE
Quadrilaterals Triangles Proportions Corresponding Congruent Curved lines
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard
Print Resources VDOE ESS: 7.6 Similar Figures Glencoe
Powerpoints JLab IXL Math
ARI Companion: 7.6 Ratio/Proportions Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.6
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.10 The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to •
th
4 Grading period
•
Compute the number of possible outcomes by using the Fundamental (Basic) Counting Principle Determine the probability of a compound event containing no more than 2 events
Fundamental Counting Principle
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Print Resources
Assessment Items Instructional Notes
VDOE ESS: 7.10 The Real Meal Deal
STAR Math
Glencoe
Benchmarks
ARI Companion: 7.10 Probability Reteaching: VA. SOL Coach and Buckle Down
ARDT (target date Jan. 2012)
Teacher made assessments Flanagan Tests SOL 7.10
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.9 The student will investigate and describe the difference between the experimental probability and theoretical probability of an event. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to • • th
4 Grading period
• •
Determine the theoretical probability of an event Determine the experimental probability of an event Describe changes in the experimental probability as the number of trials increases Investigate and describe the differences between the probability of an event found through experiment or simulation versus the theoretical probability of that same event
Experimental Probability Theoretical Probability
Manipulatives
Technology Resources
VDOE Word Wall Voc
Compass Learning
Dinah Zikes Foldables
Study Island Smartboard Powerpoints
Print Resources VDOE ESS: 7.9 What are the Chances? Glencoe
JLab IXL Math
ARI Companion: 7.9 Probability Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.9
Content: Mathematics
Grade Level: 6
Unit/Learning Focus
Pacing / Time Frame
Instructional Strategies & Model Lessons
Essential Vocabulary SOL 7.11 The student given data in a practical situation, will a.) Construct and analyze histograms b.) Compare and contrast histograms with other types of graphs presenting information from the same data The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representation to th
4 Grading period
•
• • •
Collect, analyze, display, and interpret a data set using histograms. For collection and display of raw data, limit the data to 20 items Determine patterns and relationships within data sets (e.g., trends) Make inferences, conjectures, and predictions based on analysis of a set of data Compare and contrast histograms with line plots, circle graphs, stem-and-leaf plots presenting information from the same data set
Circle graph
Manipulatives
Technology Resources
Print Resources
VDOE Word Wall Voc
Compass Learning
VDOE ESS: 7.11 Numbers in a Name
Dinah Zikes Foldables
Study Island Smartboard Powerpoints JLab IXL Math
Glencoe N/A ARI Companion: 7.11 Statistics Reteaching: VA. SOL Coach and Buckle Down
Assessment Items Instructional Notes STAR Math ARDT (target date Jan. 2012) Benchmarks Teacher made assessments Flanagan Tests SOL 7.11
