Willmar Public Schools Curriculum Map

Size: px
Start display at page:

Download "Willmar Public Schools Curriculum Map"

Transcription

1 Note: Problem Solving Algebra Prep is an elective credit. It is not a math credit at the high school as its intent is to help students prepare for Algebra by providing students with the opportunity to develop the skills necessary to be successful in a high school algebra course. For this reason, it addresses many of the 7 th and 8 th grade standards and benchmarks. Subject Area Mathematics Senior High Course Name Problem Solving Algebra Prep Date June 2009 Unit Content Standards Addressed Skills/Benchmarks Essential Questions Assessments 12 Arithmetic with Letters Arithmetic and Algebra Representing Numbers Using Letters Integers on the Number Line Adding Integers Subtracting Integers Multiplying Integers Dividing Positive and Negative Integers Simplifying Expressions one variable Simplifying Expressions several variables Positive Exponents Formulas with Variables Grade 7 Number & Operation Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context : Locate positive and negative rational numbers on the number line. Understand the concept of opposites : Add, subtract, multiply, and divide positive and negative integers : Use the symbol for absolute value. Demonstrate of absolute value with respect to distance : Represent relationships in various contexts with equations involving variables and positive and negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context. For example: Solve for w in the equation P = 2w + 2l when P = 3.5 and l = 0.4. What is the difference between numerical and algebraic expressions? How can unknown quantities be expressed? How are arithmetic operations performed with positive and negative numbers? When and how can variable expressions be simplified? How are variable expressions used to solve real world problems? Another example: To post an Internet website, Mary must pay $300 for initial set up and a monthly

2 8 th Grade Algebra Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context. fee of $12. She has $842 in savings, how long can she sustain her website? : Solve multi-step equations in one variable. Solve for one variable in a multi-variable equation in terms of the other variables. Justify the steps by identifying the properties of equalities used. 1. Recognize numerical and algebraic expressions. 2. Understand the use of variables in algebraic expressions. 3. Understand positive and negative integers, opposites, and absolute value. 4. Discover and use rules related to adding, subtracting, multiplying, and dividing integers. 5. Simplify expressions with one or more variables. 6. Read and write exponents. 7. Use formulas with variables. 12 The Rules of Arithmetic Commutative Property of Addition Commutative Property of Multiplication Associative Grade 7 Algebra Apply of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions : Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents. Properties of algebra include associative, commutative and distributive laws. Why did the calculator give me the wrong answer? Why does the order in which operations are performed often change the outcome? How does the use of mathematical properties simplify or make some

3 Property of Addition Associative Property of Multiplication The Distributive Property Multiplication The Distributive Property Factoring Properties of Zero Properties of 1 Powers and Roots Order of Operations : Apply of order of operations and grouping symbols when using calculators and other technologies. 1. Use the Commutative Property of Addition & Multiplication. 2. Use the Associative Property for Addition & Multiplication. 3. Use the Distributive Property over multiplication and to factor. 4. Apply the Property of Zero. 5. Apply the Property of 1 6. Raise expressions to integer powers. 7. Find square root of perfect squares. 8. Apply Order of Operations to simplify and/or evaluate expressions. problems easier to solve? 18 Linear Equations with One Variable Writing Equations Solving Equations: x-b=c Solving Equations: x+b=c Solving Multiplication Equations Solving Equations with Fractions Solving Equations with More than 8 th Grade Algebra Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context : Express linear equations in slope-intercept, point-slope and standard forms, and convert between these forms. Given sufficient information, find an equation of a line. For example: Determine an equation of the line through the points (-1,6) and (2/3, -3/4) : Use linear inequalities to represent relationships in various contexts. Without guessing, how can the solution to an equation be found using concepts of algebra? How can the sides of a right triangle be found? How is and interval expressed using mathematical symbols? What real world applications ask for an interval solution?

4 One Step Equations Without Numbers Formulas The Pythagorean Theorem Inequalities on the Number Line Solving Inequalities in One Variable Using Equations For example: A gas station charges $0.10 less per gallon of gasoline if a customer also gets a car wash. Without the car wash, gas costs $2.79 per gallon. The car wash is $8.95. What are the possible amounts (in gallons) of gasoline that you can buy if you also get a car wash and can spend at most $35? : Solve linear inequalities using properties of inequalities. Graph the solutions on a number line. For example: The inequality -3x < 6 is equivalent to x > -2, which can be represented on the number line by shading in the interval to the right of Solve one-step equations involving addition, subtraction, or multiplication. 2. Solve multi-step equations involving the four basic operations. 3. Solve for a variable. 4. Use the Pythagorean Theorem to solve for an unknown side. 5. Represent inequalities on a Number Line. 6. Solve inequalities in one variable. 14 Applications of Algebra 7 th Grade Algebra Standard Recognize proportional : Represent proportional How can percentages be estimated without the use of a

5 Writing Equations Odd and Even Integers Using the 1% Solution to Solve Problems Using the Percent Equation Solving Distance, Rate, & Time Problems Using a Common Unit--Cents Calculating Simple Interest Deriving a Formula for Mixture Problems Ratio and Proportion Using Proportions relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context. relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations. For example: Larry drives 114 miles and uses 5 gallons of gasoline. Sue drives 300 miles and uses 11.5 gallons of gasoline. Use equations and graphs to compare fuel efficiency and to determine the costs of various trips : Solve multi-step problems involving proportional relationships in numerous contexts. For example: Distance-time, percent increase or decrease, discounts, tips, unit pricing, lengths in similar geometric figures, and unit conversion when a conversion factor is given, including conversion between different measurement systems. calculator? How do percents relate to a portion of the circle? A trip takes more time to return than it did to get to the destination. How is the average rate for the entire trip calculated? What is meant by simple interest, and how is it calculated? Three different dried fruits are mixed to make a snack pack. How should the price to sell the snack pack be determined? Another example: How many kilometers are there in 26.2 miles? : Use knowledge of proportions to assess the reasonableness of solutions. For example: Recognize that it would be unreasonable for a cashier to request $200 if you purchase a $225 item at 25% off.

6 7.2.4 Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context. 7 th Grade Data Analysis and Probability Display and interpret data in a variety of ways, including circle graphs and histograms : Solve equations resulting from proportional relationships in various contexts. For example: Given the side lengths of one triangle and one side length of a second triangle that is similar to the first, find the remaining side lengths of the second triangle. Another example: Determine the price of 12 yards of ribbon if 5 yards of ribbon cost $ : Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology. 1. write an algebraic equation for a number sentence. 2. identify formulas to use in specific types of problems. 3. write problems using algebraic formulas. 4. solve problems by applying algebraic equations. 10 Data, Statistics, & Probability Organizing Data Range, Mean, Median, & Mode Box-and-Whiskers 7 th Grade Data Analysis & Probability Use mean, median and range to draw conclusions about data and make predictions : Design simple experiments and collect data. Determine mean, median and range for quantitative data and from data represented in a display. Use these quantities to draw How is data used to make decisions? What does the center of the data mean? How are probabilities

7 Plots The Probability Fraction Probability and Complementary Events Tree Diagrams and Sample Spaces Dependent and Independent Events The Fundamental Principle of Counting Multistage Experiments Calculate probabilities and reason about probabilities using proportions to solve real-world and mathematical problems. conclusions about the data, compare different data sets, and make predictions. For example: By looking at data from the past, Sandy calculated that the mean gas mileage for her car was 28 miles per gallon. She expects to travel 400 miles during the next week. Predict the approximate number of gallons that she will use : Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals and fractions. calculated? What is the difference between the probability of blue and green and the probability of blue or green? How is probability used to make decisions? For example: Determine probabilities for different outcomes in game spinners by finding fractions of the area of the spinner : Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on probabilities. For example: When rolling a number cube 600 times, one would predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times. 1. organize data into graphs. 2. read and interpret graphic representations

8 3. determine range and measures of central tendency. 4. compute probabilities and complementary event involving statistics. 9 Linear Equations and Inequalities in the Coordinate plane The Coordinate System Graphing Equations Intercepts of Lines Slopes of Lines Writing Linear Equations Lines as Functions Domain and Range of a Function 7 th Grade Algebra Standard Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context. 8 th Grade Algebra: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions : Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers. For example: "Four-fifths is three greater than the opposite of a number" can be represented as 4 = n + 3, and "height no bigger 5 than half the radius" can be represented as h r. 2 Another example: "x is at least -3 and less than 5" can be represented as 3 x < 5, and also on a number line : Understand that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable. Use functional notation, such as f(x), to represent such relationships. What is meant by slope? What is a function? What does domain and range have to do with independent and dependent variables? What does a shaded region in the coordinate plane mean? What might the graph of distance traveled with respect to time over a week-long trip look like? For example: The relationship between the area of a square and the side length can be expressed as

9 f() x = x2. In this case, f (5) = 25, which represents the fact that a square of side length 5 units has area 25 units squared : Use linear functions to represent relationships in which changing the input variable by some amount leads to a change in the output variable that is a constant times that amount. For example: Uncle Jim gave Emily $50 on the day she was born and $25 on each birthday after that. The function f( x) = xrepresents the amount of money Jim has given after x years. The rate of change is $25 per year : Understand that a function is linear if it can be expressed in the form f () x = mx + b or if its graph is a straight line. For example: The function f() x = x2 is not a linear function because its graph contains the points (1,1), (-1,1) and (0,0), which are not on a straight line Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions and : Represent linear functions with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another : Identify graphical properties of linear functions including slopes

10 explain results in the original context. and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship : Identify how coefficient changes in the equation f (x) = mx + b affect the graphs of linear functions. Know how to use graphing technology to examine these effects. 1. identify the parts of a graph. 2. locate and plot points in the coordinate system. 3. solve equati0ns for ordered pairs and graph a line. 4. find the x-intercept and y- intercept of a graph. 5. determine the slope of a line 6. write and solve an equation of a straight line. 7. identify and evaluate functions. 8. determine the range of a function with a given domain. 9. graph inequalities. 10. interpret and create graphs without numbers. 10 Geometry Angles and Angle Measure Pairs of Lines in Planes and in Space 7 th Grade Algebra Standard Understand the concept of proportionality in realworld and mathematical situations, and distinguish between proportional and other relationships : Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine How is geometry used in carpentry or architecture? How are angles labeled to avoid confusion where more than one angle is pictured?

11 Angles Measures in a Triangle Naming Triangles Quadrilaterals Congruent and Similar Triangles Analyze the effect of change of scale, translations and reflections on the attributes of two-dimensional figures. 8 th Grade Geometry and Measurement Solve problems involving right triangles using the Pythagorean Theorem and its converse. what happens to a line when the unit rate is changed : Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors. For example: Corresponding angles in similar geometric figures have the same measure : Use the Pythagorean Theorem to solve problems involving right triangles. For example: Determine the perimeter of a right triangle, given the lengths of two of its sides. How can triangles be classified? What is needed for two triangles to be congruent? What is meant by similar geometric figures? How can a quadrilateral be divided into two triangles? Another example: Show that a triangle with side lengths 4, 5 and 6 is not a right triangle. 1. name and determine the measure of angles. 2. identify how lines are related in planes and space. 3. use theorems to help solve problems involving triangles. 4. name triangles by their characteristics. 5. determine the measures of angles in quadrilaterals. 6. use theorems to determine whether triangles are congruent or similar.

BEMIDJI AREA SCHOOLS Outcomes in Mathematics Grade 7

BEMIDJI AREA SCHOOLS Outcomes in Mathematics Grade 7 Outcomes in Mathematics Grade Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but.1.1.1 that it can

More information

Minnesota 7 th Grade 2007 Math Strands & Standards

Minnesota 7 th Grade 2007 Math Strands & Standards Minnesota 7 th Grade 2007 Math Strands & Standards Number & Operation Algebra Geometry & Measurement Data Analysis Read, write, represent and compare positive and negative rational numbers, expressed as

More information

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions 7 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (7 th Grade) Sampler Item Number & Operation 12-16 Items Modified 7-9 Items Read, write,

More information

Minnesota K-12 Academic Standards in Mathematics (2007)

Minnesota K-12 Academic Standards in Mathematics (2007) 8.1.1.1 Classify real numbers as rational or irrational. Know that when a square root of a positive integer is not an integer, then it is irrational. Know that the sum of a rational number an irrational

More information

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB)

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB) MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH ALGEBRA GRADE 7 NUMBER AND OPERATION Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions

More information

GRADES 7-8: ALGEBRA 1 CURRICULUM FRAMEWORKS

GRADES 7-8: ALGEBRA 1 CURRICULUM FRAMEWORKS NUMBER AND OPERATION (encompasses 6-8 MCA test items) Standard 1: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts. (encompasses 6-8 MCA test

More information

Essentials of Mathematics Lesson Objectives

Essentials of Mathematics Lesson Objectives Essentials of Mathematics Lesson Unit 1: NUMBER SENSE Reviewing Rational Numbers Practice adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Practice evaluating exponents.

More information

Grade 8 Mathematics MCA Item Sampler Teacher Guide

Grade 8 Mathematics MCA Item Sampler Teacher Guide Grade 8 Mathematics MCA Item Sampler Teacher Guide Overview of Item Samplers Item samplers are one type of student resource provided to help students and educators prepare for test administration. While

More information

Bagley Public Schools Alignment to the Minnesota K-12 Academic Standards in Mathematics (2007)

Bagley Public Schools Alignment to the Minnesota K-12 Academic Standards in Mathematics (2007) 7 Know that every rational number can be written as the ratio of two integers A4-6 A11-1 or as a terminating or repeating decimal. Recognize that π is not 7.1.1.1 rational, but that it can be approximated

More information

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Cologne Academy Mathematics Department Math 7 Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014 Updated: 08/25/2016

More information

Cologne Academy. Mathematics Department Math 6 Honors

Cologne Academy. Mathematics Department Math 6 Honors Cologne Academy Mathematics Department Math 6 Honors Aligned Text(s): (Holt McDougal Larson Pre-Algebra Common Core Ed.) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014

More information

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned

Cologne Academy. Mathematics Department Math 7. Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Cologne Academy Mathematics Department Math 7 Aligned Text(s): (Holt McDougal Mathematics Course 3) Core Knowledge Curriculum 55% Aligned Adopted: 08/2015 Board Approved: 08/28/2014 Updated: 08/12/2017

More information

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics Mapping Common Core State Clusters and Ohio s Grade Level Indicators: Grade 7 Mathematics Ratios and Proportional Relationships: Analyze proportional relationships and use them to solve realworld and mathematical

More information

Subskills by Standard Grade 7 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities

Subskills by Standard Grade 7 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each

More information

8 th Grade Math Connects

8 th Grade Math Connects 8 th Grade Math Connects Chapter 1: Rational Numbers and Percent Multi-Part Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*

More information

MARLBORO CENTRAL SCHOOL DISTRICT CURRICULUM MAP. Unit 1: Integers & Rational Numbers

MARLBORO CENTRAL SCHOOL DISTRICT CURRICULUM MAP. Unit 1: Integers & Rational Numbers Timeframe September/ October (5 s) What is an integer? What are some real life situations where integers are used? represent negative and positive numbers on a vertical and horizontal number line? What

More information

Curriculum Scope & Sequence Subject/Grade Level: MATHEMATICS/GRADE 7 Course: MATH 7

Curriculum Scope & Sequence Subject/Grade Level: MATHEMATICS/GRADE 7 Course: MATH 7 BOE APPROVED 3/12/13 Curriculum Scope & Sequence Subject/Grade Level: MATHEMATICS/GRADE 7 Course: MATH 7 Unit Duration NJCCCS / Unit Goals Transfer Goal(s) Enduring Review of 10 Days Unit Goals: There

More information

, Seventh Grade Math, Quarter 1

, Seventh Grade Math, Quarter 1 2017.18, Seventh Grade Math, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency

More information

Pre-Algebra (7) B Mathematics

Pre-Algebra (7) B Mathematics Course Overview Students will develop skills in using variables, evaluating algebraic expressions by the use of the order of operations, solving equations and inequalities, graphing linear equations, functions

More information

CAHSEE Math Released Test Questions

CAHSEE Math Released Test Questions Math Released Test Questions RTQ Item Numbers by Standard (Includes CST items for Standards on ) This document references Released Test Questions from the 2008 posted Test Questions (RTQs) and the 2003

More information

GRADE 8: ALGEBRA BASICS CURRICULUM FRAMEWORKS

GRADE 8: ALGEBRA BASICS CURRICULUM FRAMEWORKS NUMBER AND OPERATION (encompasses 6-8 MCA test items) Standard 1: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts. (encompasses 6-8 MCA test

More information

NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2)

NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2) NC Common Core Middle School Math Compacted Curriculum 7 th Grade Model 1 (3:2) Analyze proportional relationships and use them to solve real-world and mathematical problems. Proportional Reasoning and

More information

Prentice Hall Mathematics Course Correlated to Kansas Mathematics Content Standards, Knowledge Base Indicators (Grade 7)

Prentice Hall Mathematics Course Correlated to Kansas Mathematics Content Standards, Knowledge Base Indicators (Grade 7) Kansas Mathematics Content Standards, Knowledge Base Indicators (Grade 7) Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations.

More information

IDAHO EXTENDED CONTENT STANDARDS MATHEMATICS

IDAHO EXTENDED CONTENT STANDARDS MATHEMATICS Standard 1: Number and Operation Goal 1.1: Understand and use numbers. K.M.1.1.1A 1.M.1.1.1A Recognize symbolic Indicate recognition of expressions as numbers various # s in environments K.M.1.1.2A Demonstrate

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 8 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students know the properties of rational* and irrational* numbers expressed in a variety of forms. They understand and use

More information

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems Standard: Number, Number Sense and Operations Number and Number Systems A. Represent and compare numbers less than 0 through familiar applications and extending the number line. 1. Demonstrate an understanding

More information

7th Grade Pacing Guide

7th Grade Pacing Guide 7th Grade Pacing Guide 2011-2012 Section Section Title page Brain Pop SPI GLE CFU Vocabulary CHAPTER 1: EXPRESSIONS & PATTERNS EXPRESSIONS 1-1a Powers & Exponents 25 Numbers & Operations: Exponents 2.1

More information

Syllabus for Grade 7. More details on each of the topics is covered in the following pages.

Syllabus for Grade 7. More details on each of the topics is covered in the following pages. Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships

More information

Fairview High School: 7 th Grade Mathematics

Fairview High School: 7 th Grade Mathematics Unit 1: Algebraic Reasoning (10 Days) Fairview High School: 7 th Grade Mathematics Standards CC.7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational

More information

Use ordered pairs to locate points, to organize data,

Use ordered pairs to locate points, to organize data, Eighth Grade Math Scope and Sequence Lesson Title Lesson Objective(s) TEKS First Six Weeks Problem Solving Use problem solving strategies including making a plan and choosing an appropriate method of 8.1B;

More information

8.NS Number and Number Sense

8.NS Number and Number Sense Skills available for Virginia eighth-grade math standards Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online

More information

APS Eighth Grade Math District Benchmark Assessment NM Math Standards Alignment

APS Eighth Grade Math District Benchmark Assessment NM Math Standards Alignment EIGHTH GRADE NM STANDARDS Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations. 5-8 Benchmark N.: Understand numbers, ways of representing numbers,

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information

Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards

Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards CP 3/06 Correlation of Moving with Algebra Grade 7 To Ohio Academic Content Standards NUMBER, NUMBER SENSE AND OPERATION STANDARDS Students demonstrate number sense including an understanding of number

More information

7 th Grade Math Scope of Work Sumner County Schools

7 th Grade Math Scope of Work Sumner County Schools Quarter 1 The Number System Expressions and Equations 7.NS.A.1(a, b, c, and d) 7.NS.A.2(a, b, c, and d) 7.NS.A.3 7.EE.A.1 7.EE.A.2 Quarter 2 Expressions and Equations Ratios and Proportional Relationships

More information

Pacing 7th Grade Advanced Math 1st Nine Weeks Introduction to Proportional Relationships. Proportional Relationships and Percentages

Pacing 7th Grade Advanced Math 1st Nine Weeks Introduction to Proportional Relationships. Proportional Relationships and Percentages 7th: Illustrative Mathematics Unit 4 7th: Illustrative Mathematics Unit 2 7.RP.2 7.RP.2a 1st Nine Weeks Introduction to Proportional Relationships Recognize and represent proportional relationships between

More information

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence Purposeful Design Publications Intermediate Mathematics Series Scope and Sequence All rights reserved, 2004 PO Box 35097 Colorado Springs, CO 80935-3509 800.367.0798 www.purposefuldesign.com I. NUMBER

More information

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Number Sense 1.0 Students know the properties of, and compute with, rational numbers expressed n a variety of forms: 1.1 Read, write

More information

Grade 6 PI+ Yearlong Mathematics Map

Grade 6 PI+ Yearlong Mathematics Map Grade 6 PI+ Yearlong Mathematics Map Resources: Approved from Board of Education Assessments: PARCC Assessments, Performance Series, District Benchmark Assessments Common Core State Standards Standards

More information

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Standard: Number, Number Sense and Operations Number and A. Represent and compare numbers less than 0 through 6. Construct and compare numbers greater than and less Number Systems familiar applications

More information

8 th Grade Remediation Guide

8 th Grade Remediation Guide 8 th Grade Remediation Guide Focused remediation helps target the skills students need to more quickly access and practice on-grade level content. This chart is a reference guide for teachers to help them

More information

Middle School Math 2 Grade 7

Middle School Math 2 Grade 7 Unit Activity Correlations to Common Core State Standards Middle School Math 2 Grade 7 Table of Contents Ratios and Proportional Relationships 1 The Number System 2 Expressions and Equations 5 Geometry

More information

Los Angeles Unified School District Secondary Mathematics Branch

Los Angeles Unified School District Secondary Mathematics Branch Essential Standards in Mathematics (Grade 10, 11 or 12) Los Angeles Unified School District 310209 Essential Standards in Mathematics COURSE DESCRIPTION This one semester course is designed as a preparation

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 7 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students understand and use scientific notation* and square roots. They convert between fractions and decimals. MA.7.1.1

More information

6 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions

6 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions 6 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (6 th Grade) Sampler Item Number & Operation 14-18 9-12 Read, write, represent and compare

More information

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018 Domain Standard Learning Targets Resources Ratios and Proportional Relationships 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured

More information

Math Lesson Plan 8th Grade Curriculum Total Activities: 345

Math Lesson Plan 8th Grade Curriculum Total Activities: 345 Time4Learning Online Learning for Homeschool and Enrichment www.time4learning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning

More information

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press California Performance Indicator Mathematics Form B Teacher s Guide and Answer Key Continental Press Contents Introduction to California Mathematics Performance Indicators........ 3 Answer Key Section

More information

BIG Ideas. Assessment Teacher Resources Standards

BIG Ideas. Assessment Teacher Resources Standards Course Name: Unit: Introductory Time Line: 2 weeks Students will be able to simplify expressions. 1. Real Life Problems Solve problems using the four-step plan. Identify and use problemsolving strategies.

More information

CURRICULUM UNIT MAP 1 ST QUARTER. COURSE TITLE: Applied Algebra 1 GRADE: 9

CURRICULUM UNIT MAP 1 ST QUARTER. COURSE TITLE: Applied Algebra 1 GRADE: 9 1 ST QUARTER Unit 1: Exploring Rational Numbers WEEK 1-3 Objectives: Write equations and formulas to solve application problems Compare order and plot rational and irrational numbers, including square

More information

Scott%County%Public%Schools%

Scott%County%Public%Schools% !! ' ' Scott%County%Public%Schools%! Seventh'Grade'Mathematics' Revised'2013' ' ' Pacing'Guide'and'Curriculum'Map' Scott County Pacing Guide 7 th Grade Math Unit 0 Review of Prior Content Skills- 4 Weeks

More information

West Windsor-Plainsboro Regional School District Algebra Grade 8

West Windsor-Plainsboro Regional School District Algebra Grade 8 West Windsor-Plainsboro Regional School District Algebra Grade 8 Content Area: Mathematics Unit 1: Foundations of Algebra This unit involves the study of real numbers and the language of algebra. Using

More information

Pre Algebra. Curriculum (634 topics)

Pre Algebra. Curriculum (634 topics) Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Elizabethtown Independent Schools Seventh Grade Math Standards and I Can Statements

Elizabethtown Independent Schools Seventh Grade Math Standards and I Can Statements Elizabethtown Independent Schools Seventh Grade Math Standards and I Can Statements (P) Priority Standard (M) Multiple Unit Standard Standard - CC.7.RP.1 Compute unit rates associated with ratios of fractions,

More information

7th Grade Curriculum

7th Grade Curriculum Unit #1 Number Systems 1.1 Number Systems 7th Grade Curriculum Distinguish between the various subsets of real numbers (Counting/natural numbers, whole numbers, integers, rational numbers, and irrational

More information

Mathematics Grade 7. Updated 3/1/11 36

Mathematics Grade 7. Updated 3/1/11 36 Mathematics Grade 7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations

More information

Basic Math. Curriculum (358 topics additional topics)

Basic Math. Curriculum (358 topics additional topics) Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.

More information

Algebra Readiness. Curriculum (445 topics additional topics)

Algebra Readiness. Curriculum (445 topics additional topics) Algebra Readiness This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

More information

Pre Algebra and Introductory Algebra

Pre Algebra and Introductory Algebra Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to

More information

NFC ACADEMY COURSE OVERVIEW

NFC ACADEMY COURSE OVERVIEW NFC ACADEMY COURSE OVERVIEW Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite

More information

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA Correlation: California State Curriculum Standards of Mathematics for Grade 6 To SUCCESS IN MATH: BASIC ALGEBRA 1 ALGEBRA AND FUNCTIONS 1.0 Students write verbal expressions and sentences as algebraic

More information

Prep for the CSU ELM

Prep for the CSU ELM Prep for the CSU ELM This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Middle School Math Course 2

Middle School Math Course 2 Middle School Math Course 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

CK-12 Middle School Math Grade 8

CK-12 Middle School Math Grade 8 CK-12 Middle School Math aligned with COMMON CORE MATH STATE STANDARDS INITIATIVE Middle School Standards for Math Content Common Core Math Standards for CK-12 Middle School Math The Number System (8.NS)

More information

algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red

algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red algebraic expression angle base (of a power) coordinate plane equation exponent expression factor A figure formed by two rays with the same endpoint An expression that contains numbers, operations, and

More information

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding

More information

Solve problems involving proportions Describe the effect of scale factor

Solve problems involving proportions Describe the effect of scale factor Strand: Ratios and Proportional Relationships (RP) 7th Grade Topic: Describe relationships of similar polygons Solve problems involving proportions Describe the effect of scale factor Compare or contrast

More information

Grade 7 Overview. Mathematical Practices. Ratios and Proportional Relationships

Grade 7 Overview. Mathematical Practices. Ratios and Proportional Relationships Mathematics Grade 7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations

More information

West Windsor-Plainsboro Regional School District Math A&E Grade 6

West Windsor-Plainsboro Regional School District Math A&E Grade 6 West Windsor-Plainsboro Regional School District Math A&E Grade 6 Page 1 of 20 Unit 1: Integers and Expressions Content Area: Mathematics Course & Grade Level: A&E Mathematics, Grade 6 Summary and Rationale

More information

Standards for Mathematical Practice. Ratio and Proportional Relationships

Standards for Mathematical Practice. Ratio and Proportional Relationships North Carolina Standard Course of Study Sixth Grade Mathematics 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique

More information

Learning Outcomes Framework

Learning Outcomes Framework Learning Outcomes Framework May 2004 Mathematics Grades 7 9 Learning Outcomes Framework Mathematics Grades 7 9 GRADE 7 Grade 7 GCO A: Students will demonstrate number sense and apply number-theory concepts.

More information

Clinton Community School District K-8 Mathematics Scope and Sequence

Clinton Community School District K-8 Mathematics Scope and Sequence 6_RP_1 6_RP_2 6_RP_3 Domain: Ratios and Proportional Relationships Grade 6 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Understand the

More information

Sequence of Math 7 Accelerated Units Aligned with the California Standards

Sequence of Math 7 Accelerated Units Aligned with the California Standards Sequence of Math 7 Accelerated Units Aligned with the California Standards Year at a Glance Unit Big Ideas Math Advanced 2 Textbook Chapters Dates 1. Equations and Inequalities Ch. 1 Equations Ch. 11 Inequalities

More information

Foundations of High School Math

Foundations of High School Math Foundations of High School Math This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to

More information

Essential Academic Skills Subtest III: Mathematics (003)

Essential Academic Skills Subtest III: Mathematics (003) Essential Academic Skills Subtest III: Mathematics (003) NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Series are trademarks in the U.S. and/or other countries of Pearson Education,

More information

A Story of Ratios: A Curriculum Overview for Grades 6-8

A Story of Ratios: A Curriculum Overview for Grades 6-8 New York State Common Core 6-8 Mathematics Curriculum GRADE A Story of Ratios: A Curriculum Overview for Grades 6-8 Table of Contents Introduction... 2 Curriculum Map... 3 Grade 6... 4 Grade 7... 13 Grade

More information

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics In Grade 6, students developed an understanding of variables from two perspectives as placeholders for specific values and as representing sets of values represented in algebraic relationships. They applied

More information

Curriculum Guide Cover Page

Curriculum Guide Cover Page Curriculum Guide Cover Page Course Title: Pre-Algebra Grade Level: 8 th Grade Subject/Topic Area: Math Written by: Jason Hansen Revised Date: November 2013 Time Frame: One School Year (170 days) School

More information

Destination Math California Intervention

Destination Math California Intervention Destination Math California Intervention correlated to the California Intervention 4 7 s McDougal Littell Riverdeep STANDARDS MAPS for a Mathematics Intervention Program (Grades 4-7) The standards maps

More information

Bermudian Springs School District PA Core Standards Math Framework Seventh Grade Math and Pre-Algebra

Bermudian Springs School District PA Core Standards Math Framework Seventh Grade Math and Pre-Algebra Bermudian Springs School District PA Core Standards Math Framework Seventh Grade Math and Pre-Algebra Introduction Bermudian Springs School District, in partnership with all stakeholders, recognizes the

More information

Note: Levels A-I respresent Grade Levels K-8; Florida - Grade 8 -Math Standards /Benchmarks PLATO Courseware Covering Florida - Grade 8 - Math

Note: Levels A-I respresent Grade Levels K-8; Florida - Grade 8 -Math Standards /Benchmarks PLATO Courseware Covering Florida - Grade 8 - Math Note: Levels A-I respresent Grade Levels K-8; - Grade 8 -Math Standards /Benchmarks 2005 PLATO Courseware Covering - Grade 8 - Math Number Sense, Concepts, and Operations Standard 1: The student understands

More information

Sequence of Grade 7 Modules Aligned with the Standards

Sequence of Grade 7 Modules Aligned with the Standards Sequence of Grade 7 Modules Aligned with the Standards Module 1: Ratios and Proportional Relationships Module 2: Rational Numbers Module 3: Expressions and Equations Module 4: Percent and Proportional

More information

BMS Pacing 7 th Grade Honors At a Glance

BMS Pacing 7 th Grade Honors At a Glance Module 1: Rational and Irrational Numbers (27 days) Add, subtract, multiply, and divide integers Add, subtract, multiply, and divide positive and negative fractions Absolute value Change fractions to decimals

More information

1 of 7 8/11/2014 10:27 AM Units: Teacher: PacedAlgebraPartA, CORE Course: PacedAlgebraPartA Year: 2012-13 The Language of Algebra What is the difference between an algebraic expression and an algebraic

More information

Mathematics Curricular Guide SEVENTH GRADE SCHOOL YEAR

Mathematics Curricular Guide SEVENTH GRADE SCHOOL YEAR Mathematics Curricular Guide SEVENTH GRADE 2013-2014 SCHOOL YEAR MATHEMATICS SCOPE & SEQUENCE Unit Title Dates Page 1. Ratios and Proportion... IBD... 4 2. Rational Numbers & Prime Factorization... IBD...

More information

7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Accelerate 7th Grade Pathway Correlated to Pre-Algebra Unit 1: Rational Numbers and Exponents Final Common Core Standards Lessons Page References Apply and extend previous understandings of operations

More information

Greeneville City Schools Math Curriculum Map

Greeneville City Schools Math Curriculum Map Standards Term 1 Term 2 Term 3 Term 4 Throughout Year Standard 1 Mathematic al Processes 0706.1.1 Recognize common abbreviations (such as gcd/gcf and lcm). 0706.1.2 Recognize round-off error and the inaccuracies

More information

6 th, 7 th, 8 th Grade Math Transition Document

6 th, 7 th, 8 th Grade Math Transition Document 6 th, 7 th, 8 th Grade Math Transition Document Key: (N) New; (*) New/old blend; (NC) Not in 2009 CEDs but in old Colorado Academic Standards Slant indicates new vocabulary to focus on or new expectations

More information

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics) Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637

More information

UTAH CORE STATE STANDARDS for MATHEMATICS. Mathematics Grade 7

UTAH CORE STATE STANDARDS for MATHEMATICS. Mathematics Grade 7 Mathematics Grade 7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations

More information

BMS Pacing 7 th Grade Level At a Glance

BMS Pacing 7 th Grade Level At a Glance Module 1: Rational and Irrational Numbers (30 days) Add, subtract, multiply, and divide integers Add, subtract, multiply, and divide positive and negative fractions Absolute value Change fractions to decimals

More information

7th GRADE ACCELERATED MATHEMATICS Year-at-a-Glance

7th GRADE ACCELERATED MATHEMATICS Year-at-a-Glance 7th GRADE ACCELERATED MATHEMATICS 2018-2019 Year-at-a-Glance Unit 1 Ratios and Proportional Relationships 25 days Unit 2 Rational Numbers 20 days Unit 3 Expressions and Equations with Exponents and Scientific

More information

California Content Standard. Essentials for Algebra (lesson.exercise) of Test Items. Grade 6 Statistics, Data Analysis, & Probability.

California Content Standard. Essentials for Algebra (lesson.exercise) of Test Items. Grade 6 Statistics, Data Analysis, & Probability. California Content Standard Grade 6 Statistics, Data Analysis, & Probability 1. Students compute & analyze statistical measurements for data sets: 1.1 Compute the mean, median & mode of data sets 1.2 Understand

More information

Connected Mathematics 2, 8th Grade Units 2009 Correlated to: Connecticut Mathematics Curriculum Framework Companion, 2005 (Grade 8)

Connected Mathematics 2, 8th Grade Units 2009 Correlated to: Connecticut Mathematics Curriculum Framework Companion, 2005 (Grade 8) Grade 8 ALGEBRAIC REASONING: PATTERNS AND FUNCTIONS Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies. 1.1 Understand and describe

More information

Accelerated Traditional Pathway: Accelerated 7 th Grade

Accelerated Traditional Pathway: Accelerated 7 th Grade Accelerated Traditional Pathway: Accelerated 7 th Grade This course differs from the non-accelerated 7 th Grade course in that it contains content from 8 th grade. While coherence is retained, in that

More information

Mathematics Grade 7. Solve problems involving scale drawings.

Mathematics Grade 7. Solve problems involving scale drawings. Mathematics Grade 7 All West Virginia teachers are responsible for classroom instruction that integrates content standards and mathematical habits of mind. Students in the seventh grade will focus on four

More information

Pre-Algebra Honors Curriculum Guide Dunmore School District Dunmore, PA

Pre-Algebra Honors Curriculum Guide Dunmore School District Dunmore, PA Pre-Algebra Honors Dunmore School District Dunmore, PA Pre-Algebra Honors Prerequisite: Successful completion of Sixth Grade Mathematics Pre-Algebra Honors is designed to meet the seventh grade PA Core

More information

ALGEBRA I CURRICULUM OUTLINE

ALGEBRA I CURRICULUM OUTLINE ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines

More information

SOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0.

SOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0. 7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals,

More information