Salisbury Township School District Planned Course of Study 6 th Grade Math Salisbury Inspire, Think, Learn, Grow Together!
|
|
- Sophia Lyons
- 5 years ago
- Views:
Transcription
1 Topic/Unit: The Number System Big Ideas/Enduring Understandings: Multiplication and division have an inverse relationship that is used in dividing fractions. Previous understanding of numbers can be extended to the system of rational numbers. Integers are plotted on horizontal or vertical number lines. Pairs of integers are graphed in a coordinate plane in one of the four quadrants. Common factors and multiples are used to describe real world problems Distributive property can be applied to identify common factors. Multi-digit numbers can be added, subtracted, multiplied and divided. Essential Questions: How does the understanding of the inverse relationship between multiplication and division help us to solve problems involving fractions and decimals in a real world context? How can you use a number line to represent real life events, values of integers, absolute value and opposites of numbers? How can greatest common factor and least common multiple be used to solve real world problems? How can I find a common factor and use the distributive property to represent a sum of two whole numbers? How does my previous understanding of the four operations transfer to operations with decimals? PA Academic Standards (PA Common Core): CC E.1, CC E.2, CC E.3, CC E.4 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with Mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Tier 3 Vocabulary: quotient, divisor, dividend, reciprocal, inverse, remainder, decimal, sum, difference, factor, product, greatest common factor (GCF), multiple, common multiple, least common multiple (LCM), positive numbers, negative numbers, opposite numbers, coordinate plane, x-axis, y-axis, origin, ordered pair, x-coordinate, y-coordinate, quadrants, integers, rational numbers, inequality, absolute value, Page 1
2 Concepts: Competencies: Instructional Practices: Assessments: The student will know: Division is the opposite of multiplication Whole numbers and decimals can be added, subtracted, multiplied and divided. The terms factors, multiples, greatest common factor and least common multiple. Factors can be used in the distributive property to express a sum of two whole numbers. Quantities can be represented by positive and negative numbers. The meaning of opposites of numbers. Integers and other rational numbers can be represented on a horizontal or vertical number line. Integers can be represented as pairs on a coordinate plane. Comparing rational numbers in real-world contexts. The student will be able to: Multiply fractions and use the inverse to divide fractions Add, subtract, multiply and divide whole numbers and decimals. Identify the factors and multiples of a number. Find the greatest common factor or two whole numbers less than or equal to 100. Find the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factors. Represent quantities in real world contexts using positive and negative numbers. Determine the opposite of a number. Students use the Big Ideas textbook on-line to view tutorials, utilize interactive learning tools, and access book materials at home for further exploration and Related Textbooks/Workbooks for further explanation and Websites for further practice: Videos for students to learn the topics and/or use for reteaching topics: Notebook presentations Classroom Discussion and questioning Think/Pair Share Quizzes, tests, practice packets, graded assignments Study Island Common Core, The Number System, practice problems Manga High Challenges White board and other hold-ups Chalkboard Splash A-Z Sentence Starters Thumbs up/down Exit cards Unit pricing partner/group project. Page 2
3 Absolute value is a numbers distance from zero. The coordinate plane is divided into 4 quadrants. Locate and plot integers and other rational numbers on horizontal or vertical number line. Locate and plot pairs of integers and other rational numbers on a coordinate plane. Interpret, write and explain statements of inequality as statements about the relative position of two numbers on a number line diagram and in real-world contexts. Interpret absolute value as magnitude for a positive or negative quantity in a real world situation. Graph points in all four quadrants of the coordinate plane. Find distances between points with the same first coordinate or same second coordinate. Rally Coach 4 Corners Dice partner Group collaboration to explore concepts Individual/Partner/Group Projects Page 3
4 Topic/Unit: Ratios and Proportional Relationships Big Ideas/Enduring Understandings: Solving ratio and rate problems. Essential Questions: How can you use ratios, rates, unit rates, and proportions to describe changes in real-life situations and problems? How can equivalent ratios be represented as a table of values and graphed on a coordinate plane? How are percents and ratios related? How can ratios/proportions be used to solve measurement conversion problems? PA Academic Standards (PA Common Core): CC.21.6.D.1 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with Mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Tier 3 Vocabulary: ratio, simplest form, equivalent ratios, rate, unit rate, unit price, cross product, coordinate plane, ordered pair, x- coordinate, y-coordinate, first quadrant, proportion, percent, conversion factor Concepts: Competencies: Instructional Practices: Assessments: The student will know: Ratios are the comparison of two numbers, that can compare a part to a part, a part to a whole, or a whole to a part. The student will be able to: Compare two numbers using a ratio in real-world situations. Represent ratios in three different ways. Students use the Big Ideas textbook on-line to view tutorials, utilize interactive learning tools, and access book materials at home for further exploration and Quizzes, tests, practice packets, graded assignments Study Island Common Core, Ratios and Proportional Relationships, practice problems Manga High Challenges Page 4
5 Ratios can be written in three different forms. Simplest form is when the ratio terms have no common factors other than 1. Rates are ratios that compare two different kinds of quantities. Unit rates can be found by simplifying the terms to find a new denominator of 1. Rates/prices can be easily compared by finding the unit rate/price. Constant speed can be found using unit rates. Cross-products can be used to compare and find equivalent ratios. Equivalent ratios represented in a table can be written as ordered pairs and graphed on a coordinate plane. Simplify ratios using division. Identify equivalent ratios by simplifying each one separately. Express the difference between a ratio and a rate. Identify and find unit rates in real world situations. Compare relationships between rates/prices using unit rates/prices. Identify equivalent ratios using cross-products. Make a table of equivalent ratios. Determine missing values in a table of equivalent ratios. Graph an ordered pair from a table of values on a coordinate plane. Write proportions based on real-world situations using rates and unit rates. Related Textbooks/Workbooks for further explanation and Websites for further practice: Videos for students to learn the topics and/or use for reteaching topics: Notebook presentations Classroom Discussion and questioning Think/Pair Share Rally Coach 4 Corners Dice partner Group collaboration to explore concepts White board and other hold-ups Chalkboard Splash A-Z Sentence Starters Thumbs up/down Exit cards Page 5
6 Proportions show two equal ratios and can be solved using cross products. Percents are ratios that compare a number to 100 (which will be the denominator). Conversion factors are ratios comparing two measurements and can be used to convert between measurements. Solve proportions using cross products. Write a percent as a rate per 100. Choose and use the appropriate conversion factor for converting measurement units. Individual/Partner/Group Projects Falcon Apps Debate (better buy) Page 6
7 Topic/Unit: Expressions and Equations Big Ideas/Enduring Understandings: Algebraic expressions can be understood using previous knowledge of arithmetic. Equations and Inequalities have applications in the real world. The relationship between two quantities in a real world problem change in relation to one another. Essential Questions: How can algebraic expressions be written and evaluated? How can one-variable equations and inequalities be created, solved and interpreted in real-world and mathematical problems? How can 2 variables change in relation to one another? PA Academic Standards (PA Common Core): CC B.1, CC B.2, CC B.3 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with Mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Tier 3 Vocabulary: numerical expression, exponent, base, variable, algebraic expression, verbal expression, operation, expression, term, constant, variable term, coefficient, evaluate, equivalent expressions, Distributive property, like terms, equivalent, equation, inequality, substitution, independent variable, dependent variable, Concepts: Competencies: Instructional Practices: Assessments: The student will know: A numerical expression is written using numbers, symbols and/or letters to represent a quantity. The student will be able to: Identify the base and exponent in an expression. Write, simplify, and solve expressions using exponents. Students use the Big Ideas textbook on-line to view tutorials, utilize interactive learning tools, and access book materials at home for further exploration and Quizzes, tests, practice packets, graded assignments Study Island Common Core, Expressions and Equations, practice problems Manga High Challenges Page 7
8 An exponent tells how many times the base appears as a factor. Verbal expressions can be translated into algebraic expressions using operations and sometimes variables. An expression may have several parts including terms, constants, variables and coefficients. Expressions are evaluated by finding the value of the expression, often using substitution. Evaluating expressions is used in real-world problems, including formulas. Expressions can be written in various ways, but remain equivalent. The distributive property can be used to identify equivalent expressions. Translate a verbal phrase into an algebraic expression. Identify variables, terms, variable terms, constants, and coefficients in expressions. Substitute a numerical value for a variable to evaluate an expression. Use formulas to solve various real-world problems. Write expressions using variables, given real-world word problems. Find equivalent expressions using the distributive property. Simplify expressions using the distributive property and combining like terms. Substitute values in an equation/inequality to determine which values make the equation/inequality true. Related Textbooks/Workbooks for further explanation and Websites for further practice: Videos for students to learn the topics and/or use for reteaching topics: Notebook presentations Classroom Discussion and questioning Think/Pair Share Rally Coach 4 Corners Dice partner Group collaboration to explore concepts White board and other hold-ups Chalkboard Splash A-Z Sentence Starters Thumbs up/down Exit cards Page 8
9 Like terms have the same variable(s) raised to the same power and can be combined. Equations, which show two equivalent expressions, are different from inequalities, which show a relationship between two expressions (,,, ). Substitution is used to determine if a specific number in a set makes an equation or inequality true. Real world problems can be represented using algebraic expressions. Key words can give clues as to which operation should be used to solve an equation. The goal to solving an equation is to isolate the variable. Identify key words that mean addition, subtraction, multiplication, and division. Solve equations by using opposite operations to isolate the variable. Graph solutions to inequalities using a number line. Identify independent and dependent variables in a word problem and equation. Find the function rule that represents a relationship between an independent and dependent relationship. Create a table of ordered pairs, and graph them on a coordinate plane. Individual/Partner/Group Projects Page 9
10 The rule for solving equations is: Whatever is done to one side of an equation must be done to the other in order to maintain its equality. Opposite operations are used to keep the two sides of an equation equal. Real world situations can be translated into expressions using inequalities. Inequalities can be represented on a number line. The value of a dependent variable depends on the value of an independent variable. The relationship can be represented by an equation or function rule, which can then be graphed on a coordinate plane. Page 10
11 Topic/Unit: Geometry Big Ideas/Enduring Understandings: Solve problems (real world and mathematical) involving area, surface area, and volume. Essential Questions: What is the meaning of area, volume and surface area of figures? How can the area, volume, and surface area be determined using formulas? How can nets represent three-dimensional objects and be used to find surface area? How can vertices of a polygon be graphed on a coordinate plane? PA Academic Standards (PA Common Core): CC A.1 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with Mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Tier 3 Vocabulary: area, formula, polygon, rectangular prism, rectangular solid, vertex, volume, coordinate plane, coordinate grid, axis, axes, ordered pair, three-dimensional figure, faces, prism, base, net, triangular prism, hexagonal prism, pyramid, surface area, Concepts: Competencies: Instructional Practices: Assessments: The student will know: The area of a figure is the number of square units needed to exactly cover a figure. The formula for the area of a rectangle and a triangle. The student will be able to: Describe the meaning of the area of a figure. Determine the area of a square, rectangle and triangle by substituting known values into the appropriate formula. Students use the Big Ideas textbook on-line to view tutorials, utilize interactive learning tools, and access book materials at home for further exploration and Quizzes, tests, practice packets, graded assignments Study Island Common Core, Geometry, practice problems Manga High Challenges White board and other hold-ups Page 11
12 Formulas can be used to find the area of special quadrilaterals (parallelogram, rhombus, trapezoid), but formulas will be provided. Area can be found by substituting the known values into the formula and solving the equation. A polygon is a closed shape whose sides are line segments. Area of a irregular or compound polygon can be found by composing or decomposing separate shapes within or around the polygon A rectangular prism (solid) is a solid figure in which all six faces are rectangles. The volume of a rectangular prism is the amount of space a prism takes up. The formula for the volume of a rectangular prism. Determine the area of special quadrilaterals (parallelogram, rhombus, trapezoid) using a given formula. Determine the area of irregular and compound polygons by composing and decomposing shapes within or around the polygon. Identify a rectangular prism by its shape and description. Describe the meaning of the volume of a figure. Determine the volume of a rectangular prism by substituting known values into a formula, which will be provided. Plot points on a coordinate plane using ordered pairs with positive and negative numbers. Use coordinates to locate the vertices of a polygon on a coordinate plane. Related Textbooks/Workbooks for further explanation and Websites for further practice: Videos for students to learn the topics and/or use for reteaching topics: Notebook presentations Classroom Discussion and questioning Think/Pair Share Rally Coach 4 Corners Dice partner Group collaboration to explore concepts Chalkboard Splash A-Z Sentence Starters Thumbs up/down Exit cards Geometry Survival Guide (student created booklet with drawings and labels for shapes and definitions) Page 12
13 The number lines on a coordinate plane (grid) are called axes (singular is axis). Each point on a coordinate plane is named by an ordered pair written in the form (x,y), where x represents the horizontal distance from zero and y represent the vertical distance from zero on the number line. Positive numbers are to the right of zero on the x-axis and above zero on the y-axis. Negative numbers are to the left of zero on the x-axis and below the zero on the y-axis. Given the coordinates of the vertices of a polygon, side lengths and area of the polygon can be determined. A three-dimensional figure is a solid figure that may have flat or curved faces (bases). A prism has two parallel faces with rectangular sides. Find side lengths and area of a polygon in a coordinate plane. Identify prisms and pyramids by shape and description. Represent three-dimensional figures using nets made of rectangles and triangles. Describe the meaning of the surface area of a figure. Determine the surface area of prisms by finding the separate areas of the shapes and adding them together (sometimes by drawing a net to show the shapes). Use formulas to determine the surface area of triangular and rectangular prisms. Individual/Partner/Group Projects Geometry Survival Guide (student created booklet with drawings and labels for shapes and definitions) Page 13
14 A triangular prism is a prism with a triangle as each face. A hexagonal prism is a prism with a hexagon as each face. Nets are flat drawings that show all the faces of a threedimensional figure and can be used to determine what a 3-D figure will look like unfolded. A pyramid is a 3-D figure that has only one base, and the faces are triangles that meet at a single point. A pyramid is named by the shape of its base. The surface area of a 3-D figure is the total area of all the faces of the figure. The surface area is determined by adding the area of each part of the figure (sometimes drawing the net for the figure is helpful in finding each area). Formulas, which will be Page 14
15 provided, can be used for finding surface area of a triangular and rectangular prism. Area and volume can be applied to real-world situations and problems. Page 15
16 Topic/Unit: Statistics and Probability Big Ideas/Enduring Understandings: Statistical data is displayed in a variety of ways. Statistical data can be organized, analyzed and summarized to better understand a set of data. Essential Questions: What are the various ways statistical data can be displayed? How can information from statistical displays be used and summarized? How can statistical displays be created? PA Academic Standards (PA Common Core): CC B.1 Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with Mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Tier 3 Vocabulary: statistical question, surveys, data, population, sample, distribution, central tendency, mean, median, mode, range, variation, skewed, dot plot, outlier, raw data, bar graph, histogram, frequency table, box-and-whisker plot, upper extreme, lower extreme, quartile, upper quartile, lower quartile, interquartile range, observation, categorical data, numerical data, variability, Concepts: Competencies: Instructional Practices: Assessments: The student will know: A statistical question is one in which you expect the answer to vary. The student will be able to: Identify a statistical question based on population and data taken in a survey. Students use the Big Ideas textbook on-line to view tutorials, utilize interactive learning tools, and access book materials at home for further exploration and Quizzes, tests, practice packets, graded assignments Study Island Common Core, Statistics and Probability, practice problems Manga High Challenges Page 16
17 Statistical questions are asked through surveys, where data is collected from a population or sample. The distribution of a data set is an arrangement of its values showing how often the values occurred. Measures of central tendency are the center of the distribution. Definition of mean, median, mode, range, outlier, interquartile range. Variation is a measure of how spread out the data is. Data has a variety of shapes and can be skewed. Raw data can be organized in a variety of ways to help analyze and summarize the information. Determine measures of central tendency (mean, median, and mode) from a set of data. Determine range from a set of data. Identify how a set of data is skewed. Determine which measure of central tendency or variation would be most useful in a real-world problem. Create and analyze a dot plot from a set of data. Identify and explain the meaning of outliers in a set of data. Create and analyze bar graphs, histograms, and frequency tables from a set of raw data. Related Textbooks/Workbooks for further explanation and Websites for further practice: Videos for students to learn the topics and/or use for reteaching topics: Notebook presentations Classroom Discussion and questioning Think/Pair Share Rally Coach 4 Corners Dice partner White board and other hold-ups Chalkboard Splash A-Z Sentence Starters Thumbs up/down Exit cards Survey project Group collaboration to explore concepts Page 17
18 Dot Plots, Line Graphs, Circle Graphs, Bar Graphs, Histograms and Box-and- Whisker Plots are used to display and help analyze data in different ways. The information in a histogram can also be represented in a frequency table. A box plot consists of a box to represent the middle 50 percent of data and whiskers, or lines, to represent the other 50 percent of the data. Box plots display five important values of a data set: median, upper extreme, lower extreme, upper quartile, and lower quartile. Data can be classified as either numerical or categorical. Identify the 5 important values needed to create a boxand-whisker plot from a set of data: median, upper extreme, lower extreme, upper quartile, lower quartile. Create and analyze a boxand-whisker plot using the 5 important values needed. Determine the interquartile range from the box-andwhisker plot. Determine the difference between categorical and numerical data. Determine which type of statistical display would be most effective in a situation. Describe overall patterns and deviations from the pattern of data. Individual/Partner/Group Projects Survey project- Falcon Appsforms Page 18
Middle School Math Course 2
Middle School Math Course 2 Correlation of the ALEKS course Middle School Math Course 2 to the Indiana Academic Standards for Mathematics Grade 7 (2014) 1: NUMBER SENSE = ALEKS course topic that addresses
More informationUnit Title Key Concepts Vocabulary CCS
Unit Title Key Concepts Vocabulary CCS Unit 1 Writing and Evaluating s Unit 2 Writing and Solving Equations s and Equations Write numerical expressions Evaluate numerical expressions Write algebraic expressions
More informationCORE BODY OF KNOWLEDGE MATH GRADE 6
CORE BODY OF KNOWLEDGE MATH GRADE 6 For each of the sections that follow, students may be required to understand, apply, analyze, evaluate or create the particular concepts being taught. Course Description
More informationCalculate the area of right triangles and other types of triangles. 6.G.1
Name of Student 6 th Grade Domain and Cluster Solve real-world and Mathematical problems involving area, surface area, and volume. Mastered Y/N Common Core Math Standards Portfolio Tracking Sheet Geometry
More informationGrade 6 Math Proficiency Scale Quarter 1
Number Systems Geometry Grade 6 Math Proficiency Scale Quarter 1 1 = Novice 2 = Partially Proficient partial proficient the partially proficient(2) standard partial proficient start the Computes quotients
More informationAgile Mind Mathematics 6 Scope and Sequence, Indiana Academic Standards for Mathematics
In the three years prior Grade 6, students acquired a strong foundation in numbers and operations, geometry, measurement, and data. Students are fluent in multiplication of multi-digit whole numbers and
More informationNFC ACADEMY MATH 600 COURSE OVERVIEW
NFC ACADEMY MATH 600 COURSE OVERVIEW Math 600 is a full-year elementary math course focusing on number skills and numerical literacy, with an introduction to rational numbers and the skills needed for
More informationMATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE
MATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE Referenced here is the vocabulary, explanations, and examples from the Resource Guide that support the learning of the goals in each
More informationCarnegie Learning Math Series Course 1, A Florida Standards Program. Chapter 1: Factors, Multiples, Primes, and Composites
. Factors and Multiples Carnegie Learning Math Series Course, Chapter : Factors, Multiples, Primes, and Composites This chapter reviews factors, multiples, primes, composites, and divisibility rules. List
More informationMontana City School GRADE 5
Montana City School GRADE 5 Montana Standard 1: Students engage in the mathematical processes of problem solving and reasoning, estimation, communication, connections and applications, and using appropriate
More informationCARLISLE AREA SCHOOL DISTRICT Carlisle, PA MATH GRADE 6
CARLISLE AREA SCHOOL DISTRICT Carlisle, PA 17013 MATH GRADE 6 Date of Board Approval: February 19, 2015 1 CARLISLE AREA SCHOOL DISTRICT PLANNED INSTRUCTION COVER PAGE TITLE OF SUBJECT: Mathematics GRADE
More information6th Grade Report Card Mathematics Skills: Students Will Know/ Students Will Be Able To...
6th Grade Report Card Mathematics Skills: Students Will Know/ Students Will Be Able To... Report Card Skill: Use ratio reasoning to solve problems a ratio compares two related quantities ratios can be
More informationproficient in applying mathematics knowledge/skills as specified in the Utah Core State Standards. The student generally content, and engages in
ELEMENTARY MATH GRADE 6 PLD Standard Below Proficient Approaching Proficient Proficient Highly Proficient The Level 1 student is below The Level 2 student is The Level 3 student is The Level 4 student
More informationSecondary Curriculum Maps
Secondary Curriculum Maps Cumberland Valley School District Soaring to Greatness, Committed to Excellence 6 th Grade Math CC.2.4.6.B.1 Use a set of numerical data to develop an understanding of and recognize
More informationStudents will understand 1. that numerical expressions can be written and evaluated using whole number exponents
Grade 6 Expressions and Equations Essential Questions: How do you use patterns to understand mathematics and model situations? What is algebra? How are the horizontal and vertical axes related? How do
More informationBeyond Competent (In addition to C)
Grade 6 Math Length of Class: School Year Program/Text Used: Everyday Math Competency 1: Ratios and Proportional Relationships - Students will demonstrate the ability to understand ratios and proportional
More informationMATH Grade 6. mathematics knowledge/skills as specified in the standards. support.
GRADE 6 PLD Standard Below Proficient Approaching Proficient Proficient Highly Proficient The Level 1 student is below The Level 2 student is The Level 3 student is proficient in The Level 4 student is
More informationI can add fractions that result in a fraction that is greater than one.
NUMBER AND OPERATIONS - FRACTIONS 4.NF.a: Understand a fraction a/b with a > as a sum of fractions /b. a. Understand addition and subtraction of fractions as joining and separating parts referring to the
More informationStudents use the Distributive Property to decompose and compose numerical expressions to create equivalent representations.
Composing and Decomposing Pacing: Days Topic : Factors and Area Students compose and decompose shapes, using properties of arithmetic and the additive property of area. Students review the connection of
More informationCourse 1 Textbook Table of Contents. Middle School Math Solution: Course 1 Textbook Table of Contents 1. Taking Apart Numbers and Shapes
Composing and Decomposing Pacing: Days Topic : Factors and Area Students compose and decompose shapes, using properties of arithmetic and the additive property of area. Students review the connection of
More informationGrade 7 Math Curriculum Map Erin Murphy
Topic 1 Algebraic Expressions and Integers 2 Weeks Summative Topic Test: SWBAT use rules to add and subtract integers, Evaluate algebraic expressions, use the order of operations, identify numerical and
More informationCommon Core State Standards. August 2010
August 2010 Grade Six 6.RP: Ratios and Proportional Relationships Understand ratio concepts and use ratio reasoning to solve problems. 1. Understand the concept of a ratio and use ratio language to describe
More informationCompute fluently with multi-digit numbers and find common factors and multiples.
Academic Year: 2014-2015 Site: Stork Elementary Course Plan: 6th Grade Math Unit(s): 1-10 Unit 1 Content Cluster: Compute fluently with multi-digit numbers and find common factors and multiples. Domain:
More informationMathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Represent positive and negative values. Locate integers on the number line.
Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Integers on the Number Line Comparing and Ordering Integers Absolute Value Adding Integers with the Same Sign Adding Integers with Different
More information6th Grade Math. Lindsay Law - Curriculum Facilitator (ext. 2085)
6th Grade Math Purpose Students will become flexible thinkers and complex problem solvers by applying essential mathematical ideas and concepts through a rigorous, focused, and relevant curriculum. Philosophy
More informationUnit Maps: Grade 6 Math
Rational Numbers 6.4 Number and operations. The student represents addition, subtraction, multiplication, and division of rational numbers while solving problems and justifying the solutions. Comparison
More information2 Developing. 2 Developing
Roosevelt School District Report Card Rubric Math 6 th Grade Reporting : Understands ratios and uses ratios to solve problems. 6.RP.A [ to ] 6.RP.A. Describes ratios using basic language or notation. Identifies
More informationDiocese of Boise Math Curriculum 6 th grade
Diocese of Boise Math Curriculum 6 th grade compute fractions? When do we use Roman Numerals? Numbers, Operations Algebraic Thinking Know use number names the count sequence Use properties of multiplicatio
More informationGrade 6: PA Academic Eligible Content and PA Common Core Crosswalk
Grade 6: PA Academic Eligible and PA Common Core Crosswalk Alignment of Eligible : More than Just The crosswalk below is designed to show the alignment between the Eligible and the PA Common Core While
More informationInstructional. Essential Standards. Materials. Envision Topic 1 1-1; 1-2; 1-3; 1-4. Envision Topic 2 2-2; 2-3. Envision Topic 2 2-4; 2-5; 2-6
Time Frame Period 1 Dates: Sept.4 Oct.26 Big Idea/Topic Essential Standards NS1.1 Estimate, round, and manipulate very large and very small numbers. Materials Envision Topic 1 1-1; 1-2; 1-3; 1-4 Envision
More informationMath 7 Glossary Terms
Math 7 Glossary Terms Absolute Value Absolute value is the distance, or number of units, a number is from zero. Distance is always a positive value; therefore, absolute value is always a positive value.
More informationMARLBORO CENTRAL SCHOOL DISTRICT CURRICULUM MAP Subject: Mathematics Grade: 6. Quarter 1 Content (What Students Should Know) Vocabulary Integer
Instructional Days September (10 days) Essential Questions How do you locate rational numbers on a number line? How are integers and absolute value used in real world situations? How are decimals and fractions
More informationAlaska Mathematics Standards Vocabulary Word List Grade 7
1 estimate proportion proportional relationship rate ratio rational coefficient rational number scale Ratios and Proportional Relationships To find a number close to an exact amount; an estimate tells
More informationKey Terms. Essential Questions
Objectives Fluently divide multi-digit numbers using the standard algorithm. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers
More informationYork Public Schools Subject Area: Mathematics Course: 6 th Grade Math NUMBER OF DAYS TAUGHT DATE
6.1.1.d 6.EE.A.1 Represent large numbers using exponential notation (i.e.. 10x10x10x10x10) (Review PV chart first) Write evaluate numerical expressions involving whole number exponents 5 days August, Lesson
More informationabsolute value- the absolute value of a number is the distance between that number and 0 on a number line. Absolute value is shown 7 = 7-16 = 16
Grade Six MATH GLOSSARY absolute value- the absolute value of a number is the distance between that number and 0 on a number line. Absolute value is shown 7 = 7-16 = 16 abundant number: A number whose
More informationFractions. 7th Grade Math. Review of 6th Grade. Slide 1 / 306 Slide 2 / 306. Slide 4 / 306. Slide 3 / 306. Slide 5 / 306.
Slide 1 / 06 Slide 2 / 06 7th Grade Math Review of 6th Grade 2015-01-14 www.njctl.org Slide / 06 Table of Contents Click on the topic to go to that section Slide 4 / 06 Fractions Decimal Computation Statistics
More informationDigits. Value The numbers a digit. Standard Form. Expanded Form. The symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9
Digits The symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9 Value The numbers a digit represents, which is determined by the position of the digits Standard Form Expanded Form A common way of the writing
More informationDigits Interventions. Part 1/ Got It 1 (Journal Page) Part 2/ Got It 2 (Journal Page) Part 3/ Got It 3 (Journal Page) Lesson Check
Quarter 1 Core Content Process Skills/ Activities Unit A: Expressions & Interventions Equations Rocket Math Intervention Lessons: i1-1 Place Value i1-2 Comparing & Ordering Whole Numbers i2-1 Additional
More informationGlossary Common Core Curriculum Maps Math/Grade 6 Grade 8
Glossary Common Core Curriculum Maps Math/Grade 6 Grade 8 Grade 6 Grade 8 absolute value Distance of a number (x) from zero on a number line. Because absolute value represents distance, the absolute value
More informationCCSS Rationale for Alignment Connection to the Practice Test
Practice Test Item Analysis Grade 6 This Item Analysis is provided so that teachers, parents, and students may gain a better understanding of the Grade 6 ileap math test structure and the Common Core State
More informationUnit 1. Word Definition Picture. The number s distance from 0 on the number line. The symbol that means a number is greater than the second number.
Unit 1 Word Definition Picture Absolute Value The number s distance from 0 on the number line. -3 =3 Greater Than The symbol that means a number is greater than the second number. > Greatest to Least To
More informationSmarter Balanced Vocabulary (from the SBAC test/item specifications)
Example: Smarter Balanced Vocabulary (from the SBAC test/item specifications) Notes: Most terms area used in multiple grade levels. You should look at your grade level and all of the previous grade levels.
More informationInteractive Math Glossary Terms and Definitions
Terms and Definitions Absolute Value the magnitude of a number, or the distance from 0 on a real number line Addend any number or quantity being added addend + addend = sum Additive Property of Area the
More informationWHOLE NUMBER AND DECIMAL OPERATIONS
WHOLE NUMBER AND DECIMAL OPERATIONS Whole Number Place Value : 5,854,902 = Ten thousands thousands millions Hundred thousands Ten thousands Adding & Subtracting Decimals : Line up the decimals vertically.
More informationMath: Grade 6 Unit: Data About Us: Statistics Suggested Length: 5-6 weeks
Reporting Category: Data and Analysis Math: Grade 6 Unit: Data About Us: Statistics Suggested Length: 5-6 weeks Enduring Understanding and Essential Questions Concepts & Eligible Content (6 th grade PA
More informationMathematics LV 5 (with QuickTables)
Mathematics LV 5 (with QuickTables) This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
More informationPrentice Hall Mathematics Course Correlated to: Archdiocese of Chicago (Illinois) Mathematics Curriculum Frameworks (2004) Grades 6-12
Archdiocese of Chicago (Illinois) Mathematics Curriculum Frameworks (2004) Grades 6-12 Goal Outcome Outcome Statement Priority Code Chapter Topic 6 6.01 6.06.01 - Represent place values from millionths
More informationGrades 7 & 8 Pre-Algebra/Course 3,
Grades 7 & 8 Pre-Algebra/Course 3, TERM 1 - AUGUST/SEPTEMBER/OCTOBER Algebra Tools Solving Equations Integers Solving Multi-Step Equations and Inequalities TERM 2 NOVEMBER/DECEMBER/JANUARY Functions &
More informationAgile Mind Mathematics 6 Scope & Sequence for Common Core State Standards, DRAFT
Agile Mind Mathematics 6 Scope & Sequence for, 2013-2014 DRAFT FOR GIVEN EXPONENTIAL SITUATIONS: GROWTH AND DECAY: Engaging problem-solving situations and effective strategies including appropriate use
More informationCURRICULUM UNIT MAP 1 ST QUARTER
1 ST QUARTER Unit 1: Pre- Algebra Basics I WEEK 1-2 OBJECTIVES Apply properties for operations to positive rational numbers and integers Write products of like bases in exponential form Identify and use
More informationPg. 1 10/26/2015. Grade 6 Math Connects Course 1. Start Smart Review of Grade 5. Smart Start pages MA Common Core Standards: Time Frame:
Grade 6 Math Connects Course 1 Pg. 1 10/26/2015 Start Smart Review of Grade 5 16 days This section may also be done in pieces as an introduction to later chapters. Smart Start pages 1-21 1. What are the
More informationPITSCO Math Individualized Prescriptive Lessons (IPLs)
Orientation Integers 10-10 Orientation I 20-10 Speaking Math Define common math vocabulary. Explore the four basic operations and their solutions. Form equations and expressions. 20-20 Place Value Define
More informationSKILL: What we want students to DO. Students will be able to: (pp. 1 61)
TIME FRAME [By Date/Week/ Month] STANDARD OR BENCHMARK CURRICULUM End Product of Learning, What You Teach CONTENT: What we want students to KNOW. SKILL: What we want students to DO. INSTRUCTION Means to
More information7 th GRADE PLANNER Mathematics. Lesson Plan # QTR. 3 QTR. 1 QTR. 2 QTR 4. Objective
Standard : Number and Computation Benchmark : Number Sense M7-..K The student knows, explains, and uses equivalent representations for rational numbers and simple algebraic expressions including integers,
More informationCourse of study- Algebra Introduction: Algebra 1-2 is a course offered in the Mathematics Department. The course will be primarily taken by
Course of study- Algebra 1-2 1. Introduction: Algebra 1-2 is a course offered in the Mathematics Department. The course will be primarily taken by students in Grades 9 and 10, but since all students must
More informationAlignments to SuccessMaker. Providing rigorous intervention for K-8 learners with unparalleled precision
Alignments to SuccessMaker Providing rigorous intervention for K-8 learners with unparalleled precision Lesson 3-1 Lesson 3-3 Lesson 3-4 Lesson 7-6 Lesson 7-7 Lesson 7-8 Lesson 3-4 Lesson 3-5 Lesson 7-1
More informationA triangle that has three acute angles Example:
1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.
More informationDiocese of Covington 6th Grade Curriculum Framework Math August Domains & Clusters. Essential Questions. Essential Questions
How is geometry part of the world? solve geometric problems? use formulas? Geometry (G) Solve real-world and mathematical problems involving area, surface area, and volume. 6.G.1a 6.G.1b 6.G.1c 6.G.2a
More informationDiocese of Boise Math Curriculum 5 th grade
Diocese of Boise Math Curriculum 5 th grade ESSENTIAL Sample Questions Below: What can affect the relationshi p between numbers? What does a decimal represent? How do we compare decimals? How do we round
More informationMiddle School Math Course 3 Correlation of the ALEKS course Middle School Math 3 to the Illinois Assessment Framework for Grade 8
Middle School Math Course 3 Correlation of the ALEKS course Middle School Math 3 to the Illinois Assessment Framework for Grade 8 State Goal 6: Number Sense 6.8.01: 6.8.02: 6.8.03: 6.8.04: 6.8.05: = ALEKS
More informationPraxis Elementary Education: Mathematics Subtest (5003) Curriculum Crosswalk. Required Course Numbers. Test Content Categories.
Page 1 I. Numbers and Operations (40%) A. Understands the place value system 1. Writes numbers using base-10 numerals, number names, and expanded form 2. Composes and decomposes multi-digit numbers 3.
More informationGrade 6 Mathematics Achievement Level Descriptors
MAJOR CONTENT The student solves problems involving the Major Content for the course with connections to the Standards for Mathematical Practice. Major Content Divides fractions with unlike Divides fractions
More informationTeacher: CORE Math Grade 6 Year: Content Skills VocabularyAssessments Lessons Resources Standards. Diagnostic Math 6 Test 9/10/2011
Teacher: CORE Math Grade 6 Year: 2010-11 Course: Math Grade 6 Month: All Months S e p Essential t Questions e m b e r NUMBER SENSE AND OPERATIONS Content Skills VocabularyAssessments Lessons Resources
More information6 th Grade I Can Statements (Aligned to Common Core Math Standards)
6 th Grade I Can Statements (Aligned to Common Core Math Standards) Name: 6 - Number System Domain I can compute and solve word problems involving division of fractions. (NS.1) I can fluently divide multi-digit
More informationSADLIER Progress in Mathematics Common Core State Standards for Mathematics. Crosswalk
SADLIER Common Core Progress Mathematics SADLIER Progress in Mathematics Common Core State Standards for Mathematics Crosswalk Contents 2 Unit 1: Focus on Ratios and Proportional Relationships 4 Unit 2:
More informationAlabama State Standards correlated to Merit Software Math Programs
Alabama State Standards correlated to Merit Software Math Programs The Classroom Improvement Section is responsible for the development, implementation, and assessment of the minimum curriculum content
More informationMATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 }
Number Sense Number Families MATH DICTIONARY Counting (Natural) Numbers The numbers we say when we count Example: {1, 2, 3, 4 } Whole Numbers The counting numbers plus zero Example: {0, 1, 2, 3, 4 } Positive
More informationIllinois Math Assessment Framework, Grade 7. correlated to
Illinois Math Assessment Framework, Grade 7 correlated to Grade 7 correlated to Chapter 1 Variables, Expressions, and Integers (pp. 1 61) Lesson 1.1 (pp. 5 9) Expressions and Variables Evaluate and write
More informationBig Ideas. Objects can be transferred in an infinite number of ways. Transformations can be described and analyzed mathematically.
Big Ideas Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. Objects can be transferred in an infinite number of
More informationCOURSE LEVEL UNIT/FOCUS Desired Results Transfer Meaning Acquisition
COURSE: Mathematics LEVEL: Grade 5 UNIT/FOCUS: Decimal Concepts Desired Results Related standard(s): 5.NBT.1 5.NBT.3 5.NBT.4 Transfer Students will be able to independently use their learning to Apply
More informationCW Middle School. Math RtI 7 A. 4 Pro cient I can add and subtract positive fractions with unlike denominators and simplify the result.
1. Foundations (14.29%) 1.1 I can add and subtract positive fractions with unlike denominators and simplify the result. 4 Pro cient I can add and subtract positive fractions with unlike denominators and
More informationOklahoma Learning Pathways
BUI L F OKL ORT AHO MA 2015 2016 Oklahoma Learning Pathways Table of Contents Grade 3...3 Grade 4...5 Grade 5...8 Grade 6... 11 Grade 7... 15 Grade 8... 19 Algebra Readiness...22 Algebra I...25 Geometry...28
More informationMorgan County School District Re-3. Pre-Algebra 9 Skills Assessment Resources. Content and Essential Questions
Morgan County School District Re-3 August The tools of Algebra. Use the four-step plan to solve problems. Choose an appropriate method of computation. Write numerical expressions for word phrases. Write
More informationMathematics - Grade 7: Introduction Math 7
Mathematics - Grade 7: Introduction Math 7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding
More informationMath Lesson Plan 6th Grade Curriculum Total Activities: 302
TimeLearning Online Learning for Homeschool and Enrichment www.timelearning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning
More informationr the COR d e s 3 A lg e b r a New York Common Core Pathways
BUI LT fo COM r the MON COR E Gra 2013 2014 d e s 3 A lg e b r a New York Common Core Pathways I Grade 3 Number and Operations - Fractions Measurement and Data Geometry Place Value with Whole Numbers Place
More informationAPS Seventh Grade Math District Benchmark Assessment NM Math Standards Alignment
APS Seventh Grade Math District Benchmark NM Math Standards Alignment SEVENTH GRADE NM STANDARDS Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations.
More informationTopic 1 - Variables and Expressions
Topic 1 - Variables and Expressions Topic 2 The Identity and Zero Properties Topic 3 Equations and Inequalities Topic 4 Two Variable Relationships Topic 5 Multiplying Fractions Topic 6 Dividing Fractions
More informationIntegers & Absolute Value Properties of Addition Add Integers Subtract Integers. Add & Subtract Like Fractions Add & Subtract Unlike Fractions
Unit 1: Rational Numbers & Exponents M07.A-N & M08.A-N, M08.B-E Essential Questions Standards Content Skills Vocabulary What happens when you add, subtract, multiply and divide integers? What happens when
More informationFIRST NINE WEEKS NOTE: Topics are found in the Ready Common Core Series 2017
FIRST NINE WEEKS NOTE: Topics are found in the Ready Common Core Series 2017 Week Date(s) Academic Focus Common Core Standards I can statements 1-2 Aug. 6 th 17th Lesson 9 (Add and Subtract Decimals (5
More informationPrep 8 Year: Pre-Algebra Textbook: Larson, Boswell, Kanold & Stiff. Pre-Algebra. Common Core Edition Holt McDougal, 2012.
Prep 8 Year: Pre-Algebra Textbook: Larson, Boswell, Kanold & Stiff. Pre-Algebra. Common Core Edition Holt McDougal, 2012. Course Description: The students entering prep year have differing ranges of exposure
More informationInteger Operations. Summer Packet 7 th into 8 th grade 1. Name = = = = = 6.
Summer Packet 7 th into 8 th grade 1 Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16-2 + -6 = -8 If the signs are different, find the difference
More informationObjective 1 : The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.
Essential Mathematics (with QuickTables) Correlation of the ALEKS course Essential Mathematics to the Texas Assessment of Knowledge and Skills (TAKS) for Grade 6 Objective 1 : The student will demonstrate
More informationMinnesota Academic Standards for Mathematics 2007
An Alignment of Minnesota for Mathematics 2007 to the Pearson Integrated High School Mathematics 2014 to Pearson Integrated High School Mathematics Common Core Table of Contents Chapter 1... 1 Chapter
More informationEstimate A number that is close to an exact answer. An approximate answer.
Estimate A number that is close to an exact answer. An approximate answer. Inverse Operations Operations used to undo each other + - X Product The result of multiplying two factors together. 3 x 4=12 Factor
More informationMiddle School Math Course 3
Middle School Math Course 3 Correlation of the ALEKS course Middle School Math Course 3 to the Texas Essential Knowledge and Skills (TEKS) for Mathematics Grade 8 (2012) (1) Mathematical process standards.
More informationKey Vocabulary Index. Key Vocabulary Index
Key Vocabulary Index Mathematical terms are best understood when you see them used and defined in context. This index lists where you will find key vocabulary. A full glossary is available in your Record
More informationLos Angeles Unified School District. Mathematics Grade 6
Mathematics Grade GRADE MATHEMATICS STANDARDS Number Sense 9.* Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line..* Interpret and use ratios
More informationSummer Solutions Common Core Mathematics 6. Common Core. Mathematics. Help Pages
6 Common Core Mathematics 6 Vocabulary absolute deviation absolute value a measure of variability; in a set of data, the absolute difference between a data point and another point, such as the mean or
More informationMath Content
2013-2014 Math Content PATHWAY TO ALGEBRA I Hundreds and Tens Tens and Ones Comparing Whole Numbers Adding and Subtracting 10 and 100 Ten More, Ten Less Adding with Tens and Ones Subtracting with Tens
More information6th Grade Vocabulary Mathematics Unit 2
6 th GRADE UNIT 2 6th Grade Vocabulary Mathematics Unit 2 VOCABULARY area triangle right triangle equilateral triangle isosceles triangle scalene triangle quadrilaterals polygons irregular polygons rectangles
More informationr the COR d e s 3 A lg e b r a Alabama Pathways
BUI LT fo COM r the MON COR E Gra 2013 2014 d e s 3 A lg e b r a Alabama Pathways I Grade 3 Operations and Algebraic Thinking Operations and Algebraic Thinking Operations and Algebraic Thinking Number
More informationCollege Readiness (597 topics) Course Name: College Prep Math Spring 2014 Course Code: ARTD4-3N6XJ
Course Name: College Prep Math Spring 2014 Course Code: ARTD4-3N6XJ ALEKS Course: Math for College Readiness Instructor: Ms. Dalton Course Dates: Begin: 01/19/2015 End: 06/18/2015 Course Content: 606 Topics
More informationMuskogee Public Schools Curriculum Map Sixth Grade Math
1 st Standard #2: Number Sense and number relationships to solve a Standard #1: Algebraic Reasoning Patterns and Relationships: The student will use algebraic methods to describe patterns, simplify and
More informationUsing the Best of Both!
Using the Best of Both! A Guide to Using Connected Mathematics 2 with Prentice Hall Mathematics Courses 1, 2, 3 2012, and Algebra Readiness MatBro111707BestOfBothPH10&CMP2.indd 1 6/7/11 11:59 AM Using
More informationStandard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals.
Stretch Standard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. Objective 1: Represent whole numbers and decimals from
More informationA Framework for Achieving the Essential Academic Learning. Requirements in Mathematics Grades 8-10 Glossary
A Framework for Achieving the Essential Academic Learning Requirements in Mathematics Grades 8-10 Glossary absolute value the numerical value of a number without regard to its sign; the distance of the
More informationAlignments to SuccessMaker. Providing rigorous intervention for K-8 learners with unparalleled precision
Alignments to SuccessMaker Providing rigorous intervention for K-8 learners with unparalleled precision 6.RP 6.RP.A 6.RP.A.3 6.RP.A.3.a 6.RP.A.3.b 6.RP.A.3.c 6.NS 6.NS.A 6.NS.A.1 6.NS.B 6.NS.B.2 6.NS.B.3
More informationMiddle School Math Course 2. Correlation of the ALEKS course Middle School Math Course 2 to the Common Core State Standards for Grade 7 (2010)
Middle School Math Course 2 Correlation of the ALEKS course Middle School Math Course 2 to the Common Core State Standards for Grade 7 (2010) 7.RP: Ratios & Proportional Relationships 7.RP.A.1: 7.RP.A.2:
More information