Common Core Unit Summary Grades 6 to 8


 Aldous Craig
 2 years ago
 Views:
Transcription
1 Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations rotations translations and reflections on coordinate plane (dilations=similarity) Understand similarity of 2 d figures after RRT and dilations Angle sums and external angles of triangles, parallel lines cut by transversal, angle criterion for similar triangles Unit 2: Real Numbers NS1 NS2 Know the difference between rational and irrational numbers and decimal expansions of numbers, convert a decimal expansion that repeats into a rational number Rational approximations of irrational numbers, where do they go on a number line with rational numbers Unit 3: Exponential Expressions EE1 EE4 Know and apply properties of integer exponents to generate equivalent expressions Use square and cube root to represent solutions to equations of the form x²= p and x³= p evaluate perfect square and small cube roots Use numbers expressed in the form of a single digit times a whole number power of ten to estimate very large or very small quantities (how many times bigger or smaller) Scientific notation Unit 4: Proportional Relationships and Linear Relationships EE5 EE8 Graph proportional relations and interpret unit rate as the slope of the graph. Compare two different proportional relationships in two different ways (algebraically, graphically, table, verbally) Use similar triangles to demonstrate why slope is the same between any two distinct points on a nonvertical line on a coordinate plane. Derive an equation for y=mx for a line through the origin and y=mx+b as a line intercepting the vertical axis at b Solve linear equations in one variable with one solution, no solution and many solutions. Solve linear equations with rational number coefficients including distributive property and combining like terms Solve systems of linear equations, solution lies in the point of intersection, solve real world math problems leading to two linear equations in two variables
2 Unit 5: Pythagorean Theorem EE2 G6G8 Use square and cube root to represent solutions to equations of the form x²= p and x³= p evaluate perfect square and small cube roots Explain a proof of the Pythagorean theorem and its converse Apply the Pythagorean theorem to determine missing side lengths of a right triangle in real world applications in two and three dimensions Apply the Pythagorean theorem to find the distance between two points in the coordinate system Unit6: Functions F1F5 G9 Is it a function Compare properties of functions are presented in a variety of ways verbal, table, equations, graph Interpret y=mx+b as a linear function whose graph is a straight line Construct a function to model a linear relationship between two quantities. Determine rate of change and initial value of the function by looking at coordinate pairs Describe qualitatively the functional relationship between two quantities by analyzing the graph (increasing or decreasing linear or nonlinear) sketch a graph that exhibits the qualitative features of a function expressed verbally. Unit 7: Patterns and Data SP1 SP4 Construct and interpret scatter plots for bivariate data measurement to investigate patterns of association between two quantities. Describe patterns clustering outliers positive negative linear or nonlinear association Straight lines are widely used to model relationships between two quantitative variables for scatterplots that suggest a linear association, assess the model fit by how close the data points are to the line, line of best fit Use the equation of a linear model to solve problems in bivariate measurement data. Determine slope and intercept Patterns of association can be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two way table. Construct and interpret a two way table summarizing data. Grade 7: Unit 1: Operating with Rational Numbers (add/subtract) NS 1 and NS3 Apply and extend previous understanding of addition subtraction to include rational numbers. Represent operations in a horizontal or vertical number line diagram. Opposites combine to equal 0. Absolute value. Interpret sums of rational numbers by describing real world contexts.
3 Subtraction is adding the additive inverse. Apply properties of operations as strategies to add and subtract rational numbers Solve real world problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions Unit 2: Operating with Rational Numbers (multiply/divide) NS2 and NS3; EE2 and EE3 Apply and extend previous understanding of multiplication and division and fractions to multiply and divide rational numbers. Rules for multiplying and dividing integers. Integers can be divided as long as the divisor is not 0. Every quotient of integers is a rational number. Apply properties of operations as strategies to multiply and divide rational numbers. Convert a rational number to a decimal using long division. The decimal form of a rational number ends in 0 or eventually repeats Solve real world problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions Understand that rewriting an expressions in different forms in a problem context can shed light on the problem and how the quantities in it are related (a+0.05a = 1.05a means that increase by 5% is the same as multiply by 1.05 ) Solve multistep real life math problems posed with positive and negative rational numbers in any form using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies. Unit 3: Algebraic Reasoning EE1, EE2 and EE4 Apply properties of operations as strategies to add subtract factor and expand linear expressions with rational coefficients Understand that rewriting an expressions in different forms in a problem context can shed light on the problem and how the quantities in it are related (a+0.05a = 1.05a means that increase by 5% is the same as multiply by 1.05 ) Use variables to represent quantities in a real world or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities Unit 4: Proportional Relationships RP1 RP3, G1 Compute unit rates associated with ratios and fractions including ratios of lengths areas and other quantities measured in like or different units Recognize and represent proportional relationships between quantities. Decide when two quantities are equal through a table or coordinate plane noticing the line is through the origin. Determine unit rate or constant or proportionality in table s graphs equations diagrams and verbal description. Represent proportional relationships by equations. Explain what a point on the graph of a proportional relationship means in terms of the situation
4 Use proportional relationships to solve multistep ratio and percent problems. Simple interest, tax markups, markdowns commissions fees percent increase and decrease percent error Solve problems involving scale drawings of geometric figures including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale Unit 5: Two and Three Dimensional Geometry G2G6 Draw geometric shapes (by hand, ruler, protractor, technology geometers sketchpad) with given conditions. Focus on constructing triangles from three measures of angles or sides noticing when the conditions determine a unique triangle or no triangle Describe the two dimensional figures that result from slicing three dimensional figures, as in plane sections of right triangular prisms and right triangular pyramids Know that formulas for the area and circumference of a circle and use them to solve problems, give an informal derivation of the relationship between the circumference and area of a circle Use facts about supplementary, complimentary, vertical and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. Solve real world and math problems involving area, volume and surface area of two and three dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms Unit 6: Probability SP5 SP8 Probability is between 0 and 1 unlikely and likely events Probability of a chance event by collecting data Develop a probability model and use it to find probability of events. Compare probability from a model to observed frequencies Find probabilities of compound events using organized lists tables tree diagrams and simulation Unit 7: Inferences about Populations SP1SP4 Samples and populations, random sampling Use data from a random sample Compare two numerical data distributions with similar variabilities Use measures of center and measures of variability for numerical data from random samples Grade 6: Unit 1: Operating with Positive Rational Numbers NS1NS4 Divide fractions using multiplicative inverse Fluently divide multidigit numbers using the standard algorithm Fluently add subtract multiply and divide multidigit decimals using the standard algorithm for each operation Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two numbers less than or equal to 12. Use distributive property to express
5 a sum of two whole numbers with a common factors a multiple of a sum of two whole numbers with no common factor (*express 36+8 as 4(9+2) Unit 2: Ratios and Rates RP1 RP3 Understand the concept of a ratio and use ratio language to describe a ratio relationship between 2 quantities Understand the concept of a unit rate a/b associated with a ratio a:b with b 0 Use rates and ratios to solve real world problems by reasoning about tables of equivalent ratios, tape diagrams, double line diagrams or equations Unit 3: Using Expressions EE1EE4 Write and evaluate numerical expressions involving whole number exponents Write read and evaluate expressions in which letters stand for numbers (order of operations) Apply the properties of operations to generate equivalent expressions (distributive property) Identify when two expressions are equivalent regardless what value is substituted in for the variable (3y = y+y+y) Unit 4: Understanding Positive and Negative Numbers NS5 to NS8 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative quantities to represent quantities in real world contexts, explaining the meaning of zero in each situation Understand a rational number as a point on the number line. Extend number line and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates Understand ordering and absolute value of rational numbers Solve real world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or same second coordinate Unit 5: Using Equations EE5 to EE9 Understand solving an equation or inequality as a process of answering a question: which values if any, from a specified set make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. Use variables to represent numbers and write expressions when solving a real world or mathematical problem; understand that a variable can represent and unknown number, or depending on the purpose at hand any number in a specified set. Solve real world and mathematical problems by writing and solving equations in the form of x + p = q and px =q for cases in which p, q, and x are all nonnegative numbers
6 Write an inequality of the form x < c or x < c to represent a constraint or condition in a real world or mathematical problem. Realize they have infinitely many solutions and represent such quantities on number line diagrams Use variables to represent two quantities in a real world problem that change in relationship to one another; write an equation to express one quantity thought of as the dependent variable in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variable using graphs and tables and relate these to the equation. (motion at a constant speed, distance and time) Unit 6: Applications of Geometry G1 to G4 Find the area of right triangles, other triangles and special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques to solve real world math problems Find the volume of a right rectangular prism with fractional edge lengths by packing it with cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply v=lwh and v=bh to find volumes of right rectangular prisms in real world problems. Draw polygons in the coordinate plane given coordinates of the vertices, use coordinates to find the length of the sides joining points with the same first coordinate or the same second coordinate. Represent three dimensional figures using nets made up of rectangles and triangles and use the nets to find surface area of these figures Unit 7: Statistics and Distributions SP1 to SP5 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answer, example: how old am I?, Is not a statistical question but how old are the students in my school?, is a statistical question because it anticipates variability in students age Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape Recognize that a measure of center for a numerical data set summarizes all of its values with a single number and a measure of variation describes how its values vary with a single number Display numerical data in plots on a number line including dot plots, histograms and box plots Summarize numerical data sets in relation to their context such as by reporting number of observations, describing the nature of the attribute under investigation, including how it was measured and its units of measurement, (quantitive,measures of center mean median interquartile range, absolute deviation, patterns) relating the choice of measures of center and variability to the shape of the data distribution
Common Core State Standards for Mathematics Accelerated 7th Grade
A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting
More informationPerformance Level Descriptors Grade 6 Mathematics
Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.12 Grade 6 Math : SubClaim A The student solves problems involving the Major Content for grade/course with
More informationMathematics. Mathematical Practices
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
More informationRatios and Proportional Relationships Grade 6 Grade 7 Grade 8
Ratios and Proportional Relationships Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship
More informationPrentice Hall Mathematics Courses 13 Common Core Edition 2013
A Correlation of Prentice Hall Mathematics Courses 13 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates
More informationStudents will understand 1. use numerical bases and the laws of exponents
Grade 8 Expressions and Equations Essential Questions: 1. How do you use patterns to understand mathematics and model situations? 2. What is algebra? 3. How are the horizontal and vertical axes related?
More informationCCGPS Curriculum Map. Mathematics. 7 th Grade
CCGPS Curriculum Map Mathematics 7 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Unit 1 Operations with Rational Numbers a b
More informationwith functions, expressions and equations which follow in units 3 and 4.
Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model
More informationAssessment Anchors and Eligible Content
M07.AN The Number System M07.AN.1 M07.AN.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings
More informationGrade 6 Mathematics Common Core State Standards
Grade 6 Mathematics Common Core State Standards Standards for Mathematical Practice HOW make sense of problems, persevere in solving them, and check the reasonableness of answers. reason with and flexibly
More informationChapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School
Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education
More informationGeorgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade
Georgia Standards of Excellence Curriculum Map Mathematics GSE 8 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. GSE Eighth Grade
More informationGRADE 7 SKILL VOCABULARY MATHEMATICAL PRACTICES Add linear expressions with rational coefficients. 7.EE.1
Common Core Math Curriculum Grade 7 ESSENTIAL QUESTIONS DOMAINS AND CLUSTERS Expressions & Equations What are the 7.EE properties of Use properties of operations? operations to generate equivalent expressions.
More informationTopic: Unit 1Variables, Expressions, and Integers
Grade 7th Topic: Unit 1Variables, Expressions, and Integers Essential Questions/Enduring CC.7.NS.1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and
More informationInfinite Algebra 1 supports the teaching of the Common Core State Standards listed below.
Infinite Algebra 1 Kuta Software LLC Common Core Alignment Software version 2.05 Last revised July 2015 Infinite Algebra 1 supports the teaching of the Common Core State Standards listed below. High School
More informationGRADES 7, 8, AND 9 BIG IDEAS
Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for
More informationUtah Core Curriculum for Mathematics
Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions
More information6 th Grade Math. Understand ratio concepts and use ratio reasoning to solve problems.
6 th Grade Math Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers
More informationGrade 6 Mathematics Performance Level Descriptors
Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this
More informationCurrent Standard: Mathematical Concepts and Applications Shape, Space, and Measurement Primary
Shape, Space, and Measurement Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two and threedimensional shapes by demonstrating an understanding of:
More informationMath. MCC6.RP.1 Understand the concept of a ratio and use
MCC6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, The ratio of wings to beaks in the bird house at the zoo was 2:1,
More informationGlencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 33, 58 84, 87 16, 49
Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 68 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,
More informationVertical Alignment Colorado Academic Standards 6 th  7 th  8 th
Vertical Alignment Colorado Academic Standards 6 th  7 th  8 th Standard 3: Data Analysis, Statistics, and Probability 6 th Prepared Graduates: 1. Solve problems and make decisions that depend on un
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationWhole Numbers and Integers (44 topics, no due date)
Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKUKPMR9 ALEKS Course: PreAlgebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole
More informationPennsylvania System of School Assessment
Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling system that can be read
More informationFor example, estimate the population of the United States as 3 times 10⁸ and the
CCSS: Mathematics The Number System CCSS: Grade 8 8.NS.A. Know that there are numbers that are not rational, and approximate them by rational numbers. 8.NS.A.1. Understand informally that every number
More informationGrade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills
Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate
More informationAlgebra 1 2008. Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard
Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express
More informationHigher Education Math Placement
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
More informationNumber Sense and Operations
Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents
More informationBig Ideas in Mathematics
Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards
More informationUnit 1: Integers and Fractions
Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 31 Integers & Absolute Value 191194, 203206, 195198, 207210 32 Add Integers 33 Subtract Integers 215222 34 Multiply
More informationWelcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)
Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402443 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationCORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREERREADY FOUNDATIONS IN ALGEBRA
We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREERREADY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical
More informationGreater Nanticoke Area School District Math Standards: Grade 6
Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place
More informationPrentice Hall Connected Mathematics 2, 7th Grade Units 2009
Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems
More informationVoyager Sopris Learning Vmath, Levels CI, correlated to the South Carolina College and CareerReady Standards for Mathematics, Grades 28
Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156159 Module 4: Lesson 7: 220223 2. Reason both contextually
More informationPrentice Hall Algebra 2 2011 Correlated to: Colorado P12 Academic Standards for High School Mathematics, Adopted 12/2009
Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level
More informationTennessee Mathematics Standards 20092010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes
Tennessee Mathematics Standards 20092010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical
More informationMyMathLab ecourse for Developmental Mathematics
MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and
More informationMiddle School Course Acceleration
Middle School Course Acceleration Some students may choose to take Algebra I in Grade 8 so they can take collegelevel mathematics in high school. Students who are capable of moving more quickly in their
More informationNEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationWORK SCHEDULE: MATHEMATICS 2007
, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check
More informationPreAlgebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio PreAlgebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
More informationAlgebra 1 Course Information
Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through
More informationCOGNITIVE TUTOR ALGEBRA
COGNITIVE TUTOR ALGEBRA Numbers and Operations Standard: Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,
More informationModuMath Algebra Lessons
ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations
More informationCommon Core State Standards  Mathematics Content Emphases by Cluster Grade K
Grade K Not all of the content in a given grade is emphasized equally in the standards. Some clusters require greater emphasis than the others based on the depth of the ideas, the time that they take to
More informationMeasurement with Ratios
Grade 6 Mathematics, Quarter 2, Unit 2.1 Measurement with Ratios Overview Number of instructional days: 15 (1 day = 45 minutes) Content to be learned Use ratio reasoning to solve realworld and mathematical
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationAlgebra 1 Course Title
Algebra 1 Course Title Course wide 1. What patterns and methods are being used? Course wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept
More informationKEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007
KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 447) Surveys and
More informationThe Australian Curriculum Mathematics
The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year
More informationFunctional Math II. Information CourseTitle. Types of Instruction
Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade
More informationStandards for Mathematical Practices Grade 6. Explanations and Examples
Standards for Mathematical Practices Grade 6 Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments
More informationStandards and progression point examples
Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to
More informationGeorgia Standards of Excellence. Mathematics. Standards 6 th  8 th Grade
Georgia Standards of Excellence Mathematics Standards 6 th  8 th Grade K12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of
More informationMcDougal Littell California:
McDougal Littell California: PreAlgebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California PreAlgebra Components: Pupil Edition (PE), Teacher s Edition (TE),
More informationMath Grade 11 Assessment Anchors and Eligible Content
Math Grade 11 Assessment Anchors and Eligible Content Pennsylvania Department of Education www.pde.state.pa.us Updated August 2010 M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers,
More informationCurriculum Map Grade: _7 th Basic Math School: _ Middle Date: Oct. 31/2009
August/ September Review basic skills of add, subtract, multiply, and divide whole numbers and fractions. (skill with a # assessed locally.) Students will add, subtract, multiply, and divide positive rational
More informationGrade Level Expectations for the Sunshine State Standards
for the Sunshine State Standards Mathematics Grades 68 FLORIDA DEPARTMENT OF EDUCATION http://www.myfloridaeducation.com/ Strand A: Number Sense, Concepts, and Operations Standard 1: The student understands
More informationNEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS
NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document
More informationPowerTeaching i3: Algebra I Mathematics
PowerTeaching i3: Algebra I Mathematics Alignment to the Common Core State Standards for Mathematics Standards for Mathematical Practice and Standards for Mathematical Content for Algebra I Key Ideas and
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationNew York CCLS. Practice. Teacher Guide Mathematics. NYS Test. Addresses latest. updates from 11/20/12. Replaces Practice Test 3
C o m m o n C o r e E d i t i o n New York CCLS Practice 7 Teacher Guide Mathematics Addresses latest NYS Test updates from 11/20/12 Replaces Practice Test 3 2013 Curriculum Associates, LLC North Billerica,
More informationMath SYLLABUS (1 st ~ 8 th Grade, Advance, SAT/ACT)
Math SYLLABUS (1 st ~ 8 th Grade, Advance, SAT/ACT) Math  1 st Grade 1. Kindergarteners or 1 st graders in regular school 2. At least 5 years old Syllabus 1. Numeration (0 through 99) 2. Addition (2
More informationBiggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationAcademic Standards for Mathematics
Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,
More informationLESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,
Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.
More informationAlgebra and Geometry Review (61 topics, no due date)
Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties
More informationFlorida Department of Education/Office of Assessment January 2012. Grade 7 FCAT 2.0 Mathematics Achievement Level Descriptions
Florida Department of Education/Office of Assessment January 2012 Grade 7 FCAT 2.0 Mathematics Grade 7 FCAT 2.0 Mathematics Reporting Category Geometry and Measurement Students performing at the mastery
More informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationCRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide
Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are
More informationPrentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 912)
Alabama Course of Study: Mathematics (Grades 912) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots,
More informationMath 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction
Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a
More informationExpression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds
Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative
More informationPrentice Hall Mathematics: Algebra 1 2007 Correlated to: Michigan Merit Curriculum for Algebra 1
STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason
More informationThnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks
Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson
More informationFlorida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper
Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic
More informationAlgebra 1 Chapter 3 Vocabulary. equivalent  Equations with the same solutions as the original equation are called.
Chapter 3 Vocabulary equivalent  Equations with the same solutions as the original equation are called. formula  An algebraic equation that relates two or more reallife quantities. unit rate  A rate
More informationMath at a Glance for April
Audience: School Leaders, Regional Teams Math at a Glance for April The Math at a Glance tool has been developed to support school leaders and region teams as they look for evidence of alignment to Common
More informationSolve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers
More informationGrade 6 GradeLevel Goals. Equivalent names for fractions, decimals, and percents. Comparing and ordering numbers
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationProblem of the Month Through the Grapevine
The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards: Make sense of problems
More informationFlorida Math Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies  Lower and Upper
Florida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies  Lower and Upper Whole Numbers MDECL1: Perform operations on whole numbers (with applications,
More informationVocabulary Words and Definitions for Algebra
Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms
More informationCourse Descriptions for 7 th & 8 th Grade Mathematics
Course Descriptions for 7 th & 8 th Grade Mathematics 7 th Grade Academic Math This course is based upon the 7 th grade PA core standards to prepare students for future algebra based understandings. The
More information10 th Grade Math Special Education Course of Study
10 th Grade Math Special Education Course of Study Findlay City Schools 2006 Table of Contents 1. Findlay City Schools Mission Statement 2. 10 th Grade Math Curriculum Map 3. 10 th Grade Math Indicators
More informationCalifornia Common Core State Standards Comparison FOURTH GRADE
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. Standards
More informationIntroduction. The Aims & Objectives of the Mathematical Portion of the IBA Entry Test
Introduction The career world is competitive. The competition and the opportunities in the career world become a serious problem for students if they do not do well in Mathematics, because then they are
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationGeometry Essential Curriculum
Geometry Essential Curriculum Unit I: Fundamental Concepts and Patterns in Geometry Goal: The student will demonstrate the ability to use the fundamental concepts of geometry including the definitions
More information