# RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK. SECTION and PAGE NUMBER TOPIC. 1.1 Pages 5-14 Factors and Multiples

Save this PDF as:

Size: px
Start display at page:

Download "RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK. SECTION and PAGE NUMBER TOPIC. 1.1 Pages 5-14 Factors and Multiples"

## Transcription

1 RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK SECTION and PAGE NUMBER TOPIC 1.1 Pages 5-14 Factors and Multiples Properties of Addition and Multiplication (Commutative, Associative and Distributive) Apply the distributive property: using area models Visual model to show the Commutative Property of addition and multiplication The Commutative and Distributive Property of Multiplication Find all factor pairs using a rainbow factor line Find all the factor pairs of a number using area models Factor Pairs and Factors Factors and Multiples Pages Physical Models of Factors and Multiples Find all the factor pairs of a number using area models Factor Pairs and Factors Factors and Multiples Using Venn Diagrams to show factor pairs #1. The example is on the top of page 6 (skip the first few pages and use the numbers at the bottom of the actual documentwhich is called "Mathematics of the Unit". The example has the heading " Common Factors and Common Multiples" ) Using Venn Diagrams to show factor pairs # QFjAB&url=http%3A%2F%2Fwww.cfisd.net%2Fdept2%2Fcurricu%2Felmath%2Fvocabulary%

2 1.3 Pages Investigating Prime and Composite Numbers Prime and Composite Numbers Factors, Primes, and Composite Numbers Properties of Addition and Multiplication (Commutative, Associative and Distributive) Pages SKIP - NOT IN 6TH GRADE CCSS Investigating Divisibility Rules 2.1 Pages Prime Factorization and Factor Trees Prime factorization Using Factor Trees Prime factorization - Factor Trees Pages Investigating Multiples and Least Common Multiples The LCM using the common multiple of two numbers and prime numbers (method #1) Using Prime Numbers (method #2 - Factor Box Method) Pages Investigating Factors and Greatest Common Factors How to find the Greatest Common Factor using prime factors Lesson on Greatest Common Factor Greatest Common Factor by using the factors common in each number

3 2.4 Pages Using GCF and LCM to Solve Problems How to find the Greatest Common Factor using prime factors The LCM using the common multiple of two numbers and prime numbers (method #1) Venn Diagram for LCM and GCF Interactive tool Generate equivalent fractions using area models m/ Pages Fractional Representations Add fractions with different denominators using fraction bars Subtract fractions with different denominators using fraction bars Add unlike fractions using equivalent fractions and the number line 3.3 Pages Dividing a Whole into Fractional Parts Create equivalent fractions by multiplying the numerator and denominator by the same number. Show equivalence on a number line Generate equivalent fractions using area models Divide a whole number by a unit fraction Pages Benchmark Fractions Compare fractions to a benchmark of one using area models Compare fractions with different numerators and denominators using a number line 3.4 continued on next page

4 Compare fractions with different numerators and denominators using area models Compare fractions using the benchmark fraction 1/ Pages Equivalent Fractions Add fractions with different denominators using fraction bars Subtract fractions with different denominators using fraction bars Add unlike fractions using equivalent fractions and the number line Create equivalent fractions by multiplying the numerator and denominator by the same number. Show equivalence on a number line Generate equivalent fractions using area models Generate equivalent fractions using number lines Pages Adding and Subtracting Fractions with Like and Unlike Denominators Excellent Visual Modeling Tool: THINKING BLOCKS-Model and Solve Word Problems. Click "Watch Video" to learn how to use the tool Finding Common Denominators Add fractions with different denominators using fraction bars Subtract fractions with different denominators using fraction bars Add unlike fractions using equivalent fractions and the number line Decompose fractions by breaking up the fraction into a sum of fractions

5 3.7 Pages Improper Fractions and Mixed Numbers Add mixed numbers using an area model Add mixed numbers using a number line Add and subtract mixed numbers: by grouping and renaming Subtract mixed numbers: converting them into improper fractions Pages Parts of Parts Multiply a fraction by a fraction using area models (1) Multiply a fraction by a fraction using area models (2) Find the product of a fraction and a mixed number by using area models Pages Parts in a Part Dividing Fractions using Multiple Approaches including Invert and Multiply Dividing fractions by fractions using visual models Divide fractions by fractions: using the common denominator Divide mixed numbers by fractions: using visual models Pages Mixed Number Division Dividing Fractions using Multiple Approaches including Invert and Multiply Divide mixed numbers by fractions: using visual models.

6 4.1 Pages Introduction to Decimals Write decimals in expanded form. Compare decimals using a number line Understand that the value of a digit in one place is 10 times the value of the digit to the right (using decimal numbers) Understand that the value of a digit in one place is 1/10 the value of the digit to the left (using decimals) Name decimals through the thousandths place times-the-value-of-the-digit-to-the-right-using-decimals the-value-of-the-digit-to-the-left-using-decimals Pages Comparing, Ordering, Estimating and Rounding Decimals Write decimals in expanded form. Compare decimals using a number line Round decimals to the nearest whole number using a number line Round decimals to the nearest tenth using a number line Round decimals to the nearest hundredth using a number line Pages Fraction-Decimal Equivalents Convert decimals to fractions to the tenths place using number lines Convert fractions to decimals to the hundredths place using division Rewrite a fraction as a repeating decimal using division Writing a Fraction as a Decimal

7 4.4 Pages Physical Models of Factors and Multiples Adding and Subtracting Decimals Pages Multiplying Decimals Multiplying and dividing by decimals to the hundredths Multiply decimals by decimals using an area model Multiplying Decimals - Math Video Pages Long Division of Whole Numbers Division as repeated subtraction - introduction to long division Long division and why it works long division with the remainder as a fraction Pages Dividing Decimals How to Divide a Decimal by a Decimal Multiplying and Dividing Decimals Pages Introduction to Ratios Part to Part and Part to Total ratios expressed as fractions Express a ratio in the simplest form Pages Ratio Representations Part to Part and Part to Total ratios expressed as fractions

8 5.3 Pages Writing Equivalent Ratios Find equivalent ratios Ratios - Scaling Up and Down Writing Rates from Ratios Convert measurement units using ratio tables Pages Modeling Ratios Tape Diagrams and Double Number Lines: Visual Tools for Thinking Solve ratio problems using double number lines Pages Using Tables to Represent Equivalent Ratios Solve ratio problems using tables and addition Find equivalent ratios Solve missing values in ratio problems using a table Graph ratios on a coordinate plane using values from a table Pages Using Graphs to Represent Equivalent Ratios Finding equivalent ratios (interactive - produces a line for ratio specified) Graph ratios on a coordinate plane using values from a table.

9 5.7 Pages Using Multiple Ratio Representations to Solve Problems Predictions from Graphs Find equivalent ratios Solve ratio problems using double number lines Solve ratio problems using a tape diagram Pages Introduction to Unit Rates How Do You Solve a Word Problem Using Unit Rates? Find the best deal by comparing unit rates Scale recipes by applying unit rates Create unit rate using tape diagram Define unit rate using double number line Understand rates as a type of ratio Solve rate and ratio word problems Pages Introduction to Percents Basic Percent Equation Basic Percent Equation Define percents as ratios Ratios and percents Converting Between Fractions, Decimals, and Percents Applied percentage problem - Discounts tween%20fractions,%20decimals%20and%20percents).pdf continued on next page

10 Find the part when the percent and total are known Convert decimals into percents and vice versa Find the total when the percent and part are known Basic "Percent of" Word Problems Pages Estimating Percents Benchmark Percents Ratios and percents Applied percentage problem - Discounts Find the part when the percent and total are known Find the total when the percent and part are known Basic "Percent of Number" Word Problems Pages Determining the Percent of a Number Percentage of a whole "Percent of" Word Problems: Markup and Markdown Examples Compute successive percentages using proportions and equations Ratios and percents Find the part when the percent and total are known Find the total when the percent and part are known Basic "Percent of" Word Problems Taking percentages (Kahn Academy) Tax, Tip and Discount

11 6.4 Pages Determining the Part, Whole or Percent of Percent Problems Taking percentages (Kahn Academy) Percentage of a whole "Percent of" Word Problems: Markup and Markdown Examples Tax, Tip and Discount Compute successive percentages using proportions and equations Find the part when the percent and total are known Pages Using Percents in Real-World Situations Compute successive percentages using proportions and equations Find the part when the percent and total are known Find the total when the percent and part are known Percentage of a whole Ratios and percents Basic "Percent of" Word Problems Pages Order of Operations Evaluate a numerical expression using Order of Operations In Order of Operation Multiplication and Division is always done left to right....for example doing division first: 8 2 x 4 = 4 x 4 = If we did multiplication first we would have 8 2 x 4 = 8 8 = 1. PEMDAS is not literally true. Multiplication is not always done first Whole-number exponents

12 7.1 Pages Exploring Squares, Cubes, and Roots Evaluate a numerical expression using Order of Operations Whole-number exponents 7.2 Pages SKIP - A 7th Grade Standard Exploring Squares, Cubes, and Roots 7.3 Pages Understanding Variables Evaluate one-step algebraic expressions by substitution Write and evaluate algebraic expressions using formulas Read and write an algebraic expression containing a variable Evaluate multiple step algebraic expressions by substitution Pages Writing Algebraic Expressions Read and write an algebraic expression containing a variable Read and write algebraic expressions using parentheses Write and evaluate algebraic expressions using formulas Writing Algebraic Expressions Pages Multiple Representations of Algebraic Expressions Graphing problems using a table Evaluate one-step algebraic expressions by substitution Evaluate multiple step algebraic expressions by substitution Read and write algebraic expressions using parentheses Write and evaluate algebraic expressions using formulas

13 7.6 Pages Using Multiple Representations of Problems Working with Algebra Tiles Pages Relationships Between Quantities Arithmetic Sequences Use alternative notation for multiplication and division in algebraic expressions Writing Algebraic Expressions Pages Simplifying Algebraic Expressions Combining like terms Write decimals in expanded notation Adding decimals by combining like terms PRACTICE - Creating whole and decimal numbers from their expanded form Writing algebraic equations (Addition, Subtraction) Pages Using the Distributive Property to Simplify Algebraic Expressions How Do You Use the Distributive Property to Simplify an Expression? Write equivalent expressions using the Distributive Property of Multiplication over Addition

14 8.4 Pages Multiple Representations of Equivalent Expressions Solve algebraic equations involving addition and subtraction using inverse operations Write and solve an algebraic equation by determining when to use multiplication and division Rewrite an expression by expanding it using the math properties Pages Combining Like Terms (using algebra tiles models) Solve addition and subtraction problems: using 1-step equations Solve multiplication and division problems: using 1-step equations Solving 2 Step Equations Pages Using Algebraic Expressions to Analyze and Solve Problems Solve real-world problems: using multiplication and division equations Write an algebraic equation from a real-world scenario using multiplication and division Algebra - Solving Two-Step Equations: 6th grade math Pages Inequalities Understand the relationship between two numbers using a number line Represent the solution set of an inequality using a number line Write inequalities given a number line representation Writing, Solving, and Graphing Inequalities in One Variable Problems: Solve one-step linear inequalities nal.html

15 9. 2 Pages Solving One-Step Equations Using Addition and Subtraction Solve algebraic equations involving addition and subtraction using inverse operations Solve addition and subtraction problems: using 1-step equations Model and solve algebraic equations using a balance model The Addition Property of Equality. Write an algebraic equation from a real-world scenario using multiplication and division Model and solve algebraic equations using a balance model Pages Solving One-Step Equations Using Multiplication and Division Write and solve an algebraic equation by determining when to use multiplication and division Solve multiplication and division problems: using 1-step equations The Multiplication Property of Equality Pages Representing Situations in Multiple Ways Graph points on a coordinate plane Graph rational numbers on a coordinate plane Algebra - Solving Two-Step Equations: 6th grade math Solving 2 Step Equations Solving Algebraic Equations with Parentheses Create a Dot Plot

16 9.5 Pages Using Multiple Representations to Solve Problems Graphing rate problems using a table Solving 2 Step Equations Solving two step equations Pages The Many Uses of Variables in Mathematics Graph points on a coordinate plane Solving 2 Step Equations Solving two step equations Algebra - Solving Two-Step Equations: 6th grade math Pages Independent and Dependent Variables Identify variables and their relationship in a real-world situation Identify variables and their relationship in a table Identify variables and their relationship in a graph Write the equation of a graph using a table Direct, Inverse, and Joint Variation Pages Introduction to Negative Integers Negative numbers on a number line Understanding positive and negative numbers using elevations Understanding positive and negative numbers with money Understanding positive and negative numbers with temperature

17 10.2 Pages Number Systems Locate positive rational numbers using a number line Locate rational numbers using a number line Classification of Real Numbers Pages Ordering the Rational Numbers Understand the opposite of a number by looking at a number line Understand the opposite of fractions by looking at a number line Use a number line to understand why: if the value of a negative number decreases, its absolute value increases Absolute Value vs. Order Find absolute value using a number line Interpret absolute value in real-world situations Pages Solving Problems with Rational Numbers Find absolute value using a number line Interpret absolute value in real-world situations Use a number line to understand why: if the value of a negative number decreases, its absolute value increases Understanding positive and negative numbers using elevations Understanding positive and negative numbers with money Sea level problems using absolute value to determine magnitude Understanding positive and negative numbers with temperature Understand the opposites of decimal numbers by looking at a number line

18 11.1 Pages Extending the Coordinate Plane Find the distance between two points in different quadrants Use absolute value to find distances between points Graph points on a coordinate plane Graph rational numbers on a coordinate plane Pages Graphing Geometric Figures Draw polygons using given coordinates as vertices Determine unknown ordered pairs using the characteristics of polygons Pages Solving Problems with Multiple Representations Identify variables and their relationship in a real-world situation Identify variables and their relationship in a table Identify variables and their relationship in a graph Write the equation of a graph using a table Direct, Inverse, and Joint Variation Pages Interpreting Graphs Interpreting Distance vs. Time Graphs Direct, Inverse, and Joint Variation Identify variables and their relationship in a real-world situation Identify variables and their relationship in a table Identify variables and their relationship in a graph

19 12.1 Pages Customary Measurements Convert measurement units using ratio tables Customary and Metric Measurement Dimensional Analysis Pages Metric Measurement Customary and Metric Measurement Dimensional Analysis Pages Moving Between Measurement Systems Convert between Customary and Metric Pages SKIP.NOT 6TH GRADE COMMON CORE Choosing Appropriate Measures 13.1 Pages SKIP.NOT 6TH GRADE COMMON CORE Sketching, Drawing, Naming, and Sorting 13.2 Pages Area and Perimeter of Rectangles and Squares Area & Perimeter of Rectangles and Squares Area & Perimeter of Rectangles e_rect.pdf

20 13.3 Pages Area of Parallelograms and Triangles Find the area of a right triangle Find the area of non-right triangles by composing a parallelogram Area of a parallelogram - Interactive Area and Perimeter of a Triangle - Interactive Pages Area of Trapezoids The Trapezoid - Interactive Find the area of a trapezoid by composing a parallelogram Find the area of polygons by decomposing into triangles, rectangles, parallelograms, and trapezoids Pages Area of Rhombi and Kites The Kite - Interactive The Rhombus - Interactive Pages SKIP...NOT 6TH GRADE COMMON CORE Area of Regular Polygons

21 14.1 Pages NETS Text does not calculate surface area - a basic requirement. Use links w ith surface area calculation instead of text NETS Made Easy Represent three-dimensional figures with nets Nets and Surface area of Geometric Solids - Interactive Solve real-world problems with surface area Pages The Cube Surface area of a cube Find the volume of a rectangular prism using unit cubes Volume of a right rectangular prism = L x W x H Find the volume of a rectangular prism by developing a formula Pages Prisms Shapes of Prisms Types of Prisms Prisms Pages Surface Area and Volume of a Prism Find the volume of a rectangular prism using unit cubes Analyze rectangular prisms to find surface area - Part 1 Analyze rectangular prisms to find surface area - Part 2 Analyze triangular prisms to find surface area - Part 1 Analyze triangular prisms to find surface area - Part

22 14.5 Pages SKIP..NOT A 6TH GRADE STANDARD Pyramids 14.6 Pages SKIP..NOT A 6TH GRADE STANDARD Identify Geometric Solids in Every Day Occurrences 15.1 Pages Designing Statistical Questions Asking statistical questions Recognizing statistical questions Pages Collecting, Displaying and Analyzing Data Dot Plots, Histograms, Boxplots, Frequency and Cumulative Frequency plots, Scatterplots, Using charts and graphs to compare data sets (click on View Video button) Dot Plots (click on View Video button) Histograms Bar Graphs and Charts Boxplots; also called Box and Whisker Plots. (click on View Video button) Line Plots _02/M2_02_dev_100.html 15.3 Pages Line Plots and Stem and Leaf Plots Line Plots Dot Plots (click on View Video button) Create a Dot Plot Histograms dev_100.html

23 15.4 Pages Using Histograms Histograms Stem and Leaf Plots Stem and Leaf Plots in Statistics Bar Charts and Histograms (click on View Video button) Line Plots (X is continuous) - point can be x's, dots etc dev_100.html 15.5 Pages Designing and Implementing an Experiment Why do we use statistics? The statistical process (pp 50-57) Asking Statistical Questions The Independent Variable - the attribute of the data being manipulated The dependent Variable - the attribute of the data being measured Data Collection - How the attribute will be measured; the units of measurement, The number of observations Overview The Basics (click on View Video button). Analysis - measures of center, measures of variability, shape of the data distribution (determined from the data display) Central Tendency (click on View Video button). Variability (click on View Video button - stop at Variance) Data Display - Display the data using techniques such as dot plots, histograms, box plots (click on View Video button). Conclusion - Is the question answered?

24 16.1 Pages Analyzing Data Using Measure of Center The mean as a balancing point Measures of Central Tendency Summarizing the center of data with a single number using mean, median, and mode 16.2 Pages Determining When to Use the Mean, Median or Mode What is the best measure of center: The Mean, Median or Mode? Find the mean of a data set How to Find the Median Value Boxplots; also called Box and Whisker Plots. (click on View Video button) Pages Calculating and Interpreting the Mean Absolute Deviation Describe the distribution of data using the mean absolute deviation Describe the spread of data by finding range, interquartile range, and mean absolute deviation 16.4 Pages Analyzing Data Using the Five Number Summary Reading Box-and-Whisker Plots Boxplots; also called Box and Whisker Plots. (click on View Video button) Use and find the range of a data set

25 16.5 Pages Displaying and Analyzing Data Using and Box and Whisker Plots Boxplots; also called Box and Whisker Plots. (click on View Video button) Describe attributes of a data set by analyzing line plots, histograms, and box plots

### Utah 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

### New 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

### Grade 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

### Scope 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

### Greater 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

### Mathematics. 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

### CAMI 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

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### CAMI 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

### Grade 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

### Math 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

### Curriculum 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

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### LESSON 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.

### Florida 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

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### MATHS 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

### Maths Targets Year 1 Addition and Subtraction Measures. N / A in year 1.

Number and place value Maths Targets Year 1 Addition and Subtraction Count to and across 100, forwards and backwards beginning with 0 or 1 or from any given number. Count, read and write numbers to 100

### 6 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.

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### Number 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

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### Florida 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,

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

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: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### Appendix A. Comparison. Number Concepts and Operations. Math knowledge learned not matched by chess

Appendix A Comparison Number Concepts and Operations s s K to 1 s 2 to 3 Recognize, describe, and use numbers from 0 to 100 in a variety of familiar settings. Demonstrate and use a variety of methods to

### MyMathLab 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

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Math. 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,

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

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

### Higher 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

### Knowing and Using Number Facts

Knowing and Using Number Facts Use knowledge of place value and Use knowledge of place value and addition and subtraction of two-digit multiplication facts to 10 10 to numbers to derive sums and derive

### Grade 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

### NEW 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

### Measurement 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 real-world and mathematical

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

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

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### Oral and Mental calculation

Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths and hundredths and know what each digit represents. Order and compare

### Chapter 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

### Grade 5 Math Content 1

Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Grade Level Expectations for the Sunshine State Standards

for the Sunshine State Standards Mathematics Grades 6-8 FLORIDA DEPARTMENT OF EDUCATION http://www.myfloridaeducation.com/ Strand A: Number Sense, Concepts, and Operations Standard 1: The student understands

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

### Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

### The 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

### MATH 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 non-course based remediation in developmental mathematics. This structure will

### Current 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 three-dimensional shapes by demonstrating an understanding of:

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Decide how many topics you wish to revise at a time (let s say 10).

1 Minute Maths for the Higher Exam (grades B, C and D topics*) Too fast for a first-time use but... brilliant for topics you have already understood and want to quickly revise. for the Foundation Exam

### Performance Level Descriptors Grade 6 Mathematics

Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.1-2 Grade 6 Math : Sub-Claim A The student solves problems involving the Major Content for grade/course with

### Florida Department of Education/Office of Assessment January 2012. Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions

Florida Department of Education/Office of Assessment January 2012 Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions Grade 6 FCAT 2.0 Mathematics Reporting Category Fractions, Ratios, Proportional

### GRADES 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

### Ingleby Manor Scheme of Work : Year 7. Objectives Support L3/4 Core L4/5/6 Extension L6/7

Autumn 1 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Algebra 1 (6 hours) Sequences and functions - Recognize and extend number sequences - Identify the term to term rule - Know

### Solve 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

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

### 100 Math Facts 6 th Grade

100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer

### Algebra 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,

### 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

### Expression. 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

### Florida 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

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5.

Maths Level Targets This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Expected National Curriculum levels for the end of each year group are: Year 1 Year 2 Year

### Grade 6 Grade-Level 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

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

### Key Topics What will ALL students learn? What will the most able students learn?

2013 2014 Scheme of Work Subject MATHS Year 9 Course/ Year Term 1 Key Topics What will ALL students learn? What will the most able students learn? Number Written methods of calculations Decimals Rounding

### Welcome 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 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### Standards 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

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### Big 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

### GRADE 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.

### KEANSBURG 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. 4-47) Surveys and

### Prentice 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

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

### Excel Math Fourth Grade Standards for Mathematical Practice

Excel Math Fourth Grade Standards for Mathematical Practice The Common Core State Standards for Mathematical Practice are integrated into Excel Math lessons. Below are some examples of how we include these

### Introduction. 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

Grade FCAT. Mathematics Sample Answers This booklet contains the answers to the FCAT. Mathematics sample questions, as well as explanations for the answers. It also gives the Next Generation Sunshine State

### Grade 5 Math PA Core Standards - CC.2: PA Core: Mathematics. Eligible Content

Grade 5 Math PA Core Standards - CC.2: PA Core: Mathematics Eligible Content Standard Area - CC.2.1: Numbers and Operations Standard - CC.2.1.5.B.1: Apply place value to show an understanding of operations

0 Grade FCAT.0 Mathematics Sample Answers This booklet contains the answers to the FCAT.0 Mathematics sample questions, as well as explanations for the answers. It also gives the Next Generation Sunshine

### Unit 1: Integers and Fractions

Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 3-1 Integers & Absolute Value 191-194, 203-206, 195-198, 207-210 3-2 Add Integers 3-3 Subtract Integers 215-222 3-4 Multiply

### Prentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 9-12)

Alabama Course of Study: Mathematics (Grades 9-12) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots,

### Math 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

### Math syllabus Kindergarten 1

Math syllabus Kindergarten 1 Number strand: Count forward and backwards to 10 Identify numbers to 10 on a number line Use ordinal numbers first (1 st ) to fifth (5 th ) correctly Recognize and play with

### ModuMath 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

### MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!

MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Pre-algebra Algebra Pre-calculus Calculus Statistics

### Unit Essential Question: When do we need standard symbols, operations, and rules in mathematics? (CAIU)

Page 1 Whole Numbers Unit Essential : When do we need standard symbols, operations, and rules in mathematics? (CAIU) M6.A.3.2.1 Whole Number Operations Dividing with one digit (showing three forms of answers)

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,