Exploring Algebra & Geometry Curriculum Outline

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Exploring Algebra & Geometry Curriculum Outline"

Transcription

1 Exploring Algebra & Geometry Curriculum Outline Department: Mathematics Date : November 2004 Course: Exploring Algebra & Geometry Rev Date: 2002, September 1999, June 1999, Sept l989, Aug 1993 Level: 9 Full Year This course description incorporates the New Jersey Core Curriculum Content Standards for Mathematics - Standards and Strands 2003 appropriate for grade 12: 4.1, 4.2, 4.3, 4.5 I COURSE DESCRIPTION This course introduces the subject of algebra, dealing with specific algebra topics in some depth, so that students are prepared to continue their learning with confidence in their preparation following this introduction. The focus will be on giving students a thorough understanding of the algebraic structure of the real number system. It applies these basic properties to the study of equations, graphing, and polynomials. A focus will be on giving students a thorough understanding of specific geometric topics at their level of ability so as to prepare them for a full course in Geometry. The focus will be on understanding, exploring real world applications and discovering concepts through hands-on lessons, computer labs, and activity based lessons. II COURSE OBJECTIVE The objective of the course is to give students a thorough understanding of some of the basic concepts in algebra and geometry, through hands-on activities, and relationship with the real world, so as to prepare them with confidence to undertake further studies in algebra and geometry. III MAJOR CONCEPTS AND TOPICS A. Rules of Algebra (5 days) 1. Order of Operations 2. Order sets of integers 3. Operations with integers 4. Distributive property to real numbers 5. Properties of real numbers B. Linear Equations (15 days) 1. Evaluate algebraic expressions 2. Translate written algebraic expressions into algebraic symbols 3. Combining similar terms C. Solving Linear Equations (20 days) 1. Solving equations using on transformation 2. Solving equations using two or more transformations 3. Solving equations with variables on both sides This document is for use by current faculty and current students of Paramus School District, Paramus, New Jersey. No part of this document may be used or reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic. mechanical, photocopying, recording, scanning, or otherwise, without the prior written permission of the Board of Education, Paramus School District, 145 Spring Valley Road Paramus, New Jersey, Exploring Algebra & Geometry February 2004 Page 1 of 4

2 Exploring Algebra & Geometry February 2004 Page 2 of 4

3 D. Graphing (20 days) 1. Graphing linear equations in one variable 2. Graphing linear equations in two variables 3. The slope of a line 4. Methods of graphing a linear equation on a coordinate plane Exploring Algebra & Geometry February 2004 Page 3 of 4

4 E. Polynomials (20 days) 1. Adding polynomials 2. Subtracting polynomials 3. Laws of exponents 4. Multiplying polynomials F. Radicals (20 days) 1. Square Roots 2. Geometry application ( Pythagorean Theorem ) G. Elements of Geometry (15 days) 1. Point, line and plane 2. Segments, rays, angles 3. Measure of segments and angles 4. Classification of angles, types of angles H. Introduction to some elementary geometric properties and their use (20 days) 1. Addition, subtraction of segments and angles 2. Perpendicularity constructions and elementary properties 3. Parallel lines constructions and elementary properties 4. Construction of angles, line segments, parallel lines, angle bisector, 5. Perpendicular lines, line bisectors 6. Obtaining information from geometric diagrams 7. Theorems which have particular relevance to the topics being taught I. Triangles (25 days) 1. Isosceles and equilateral triangles 2. Simple Pythagorean Theorem 3. Congruence of triangles, with emphasis on constructional methods- 4. SAS, SSS, ASA 5. Construction of median, altitude and perpendicular bisector of a triangle J. Properties of Simple Geometric Figures (20 days) 1. Perimeter and areas of triangles, rectangles, and circles 2. (Optional) Volume and surface area of some geometric figures- 3. parallelepiped, pyramids, cylinder, sphere, cone. IV STUDENT SKILL OBJECTIVES A B Rules of Algebra 1 Thoroughly review the order of operations with real numbers 2 Review the representation, order and use of numbers in a variety of equivalent forms: integers, decimals, percents, fractions 3 simplify algebraic expressions involving integers by performing the following operations: addition, subtraction, multiplication and division 4 develop and apply the Distributive Property to real numbers Linear Equations 1 evaluate expressions and replace for variables 2 identify in a monomial expressions the coefficient, the base and the exponent 3 identify similar terms and combine these terms using addition and subtraction Exploring Algebra & Geometry February 2004 Page 4 of 4

5 C D E F G H Solving Linear Equations 1 solve equations systematically using one of the following operations (addition, subtraction, division, multiplication) 2 apply two or more transformations to solve an equation, then check the solution (reinforcing evaluating an algebraic expression using order of operation.) 3 to collect variables on one side of an equation and solve systematically using previous methods 4 use algebraic models to answer real-life situations Introduction to Graphing 1 identify parts of a coordinate plane through plotting ordered pairs 2 graph horizontal and vertical lines to in the coordinate plane and read the point of intersection 3 graph linear equation from a table of values 4 interpret slope as a constant rate of change or an average rate of change and calculate the slope of a line given two points 5 define and find the x and y intercept of the graph of a linear equation and use the intercepts to sketch the graph of the line 6 to find the slope and y-intercept of an equation and derive a method to construct the graph of the line 7 explore graphs and equations using the graphing calculator Introduction to Polynomials 1 identify the classifications of Polynomials as parts ( coefficient, degree, constant terms) 2 combine polynomials using addition and subtraction 3 using the multiplication properties of exponents to evaluate powers and simplify expressions 4 using algebra tiles the demonstrate multiplying two polynomials using the Distributive Property and the FOIL method Introduction to Radicals 1 identify perfect squares and irrational numbers 2 simplify radicals using calculator as well as finding the largest perfect square factor 3 explore the connection of algebra to geometry by making geometry applications Review of the Elements of Geometry 1 recognize points, lines, planes 2 recognize segments, rays, angles 3 using rulers and protractor to measure and construct segments and angles 4 classification of angles by measurement and identify types of angles Introduction to some elementary geometric properties and their use 1 calculate the measurements of segments and angles using addition and subtraction 2 understand the concepts of perpendicularity using patty paper activity 3 discover the concepts of construction and elementary properties of parallel lines and angles formed by parallel lines 4 use computer activities to construct angles, line segments, parallel lines, angle bisectors, perpendicular bisectors, line bisectors 5 a thorough study of the importance of a geometric diagram and properties that can be expressed on a geometric diagram. 6 use discovery and exploration to determine properties relating to major concepts and have students prepare and record general statements and theorems in a conditional format Exploring Algebra & Geometry February 2004 Page 5 of 4

6 I J Introduction to Triangles 1 discover and explore the properties of isosceles and equilateral triangles using the computer activities 2 study the concepts and properties of right triangles state and prove through examples of the Pythagorean Theorem 3 understand the concept of congruent figures and accurately identify the corresponding parts of figures 4 discuss and apply three ways to prove triangles congruent SAS, SSS, ASA using diagrams and writing paragraphs to support conclusions 5 construction of median, altitude and perpendicular bisectors of a triangle Properties of simple geometric figures 1 understand the concepts of area and perimeter for triangles, rectangles, circles 2 calculate the area of rectangles, triangles, and circles 3 find the surface area of prisms, pyramids and circular solids 4 use area of a prism or a cylinder s cross section to calculate the volume of parallelepiped, cylinder, sphere, and cones V EVALUATION PROCEDURES Evaluation of success will be based upon portfolios, tests, quizzes, class work, and examinations. VI SUGESTED MATERIALS Computer and calculator activities. Manipulative materials. Text: HRW ALGEBRA ONE INTERACTIONS COURSE 1 Kennedy et al 2001 * Exploring Algebra & Geometry February 2004 Page 6 of 4

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

Algebra 1 Math Year at a Glance

Algebra 1 Math Year at a Glance Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +

More information

FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED

FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED After a standard is introduced, it is revisited many times in subsequent activities, lessons, and exercises. Domain: The Number System 8.NS.1.1

More information

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully

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

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

Office of Curriculum, Instruction, and Technology. Mathematics. Grade 7 ABSTRACT

Office of Curriculum, Instruction, and Technology. Mathematics. Grade 7 ABSTRACT Office of Curriculum, Instruction, and Technology Mathematics Grade 7 ABSTRACT Mathematics at the seventh grade level broadens opportunities for students to apply rules, properties, and theorems of mathematics

More information

Prealgebra and Elementary Algebra

Prealgebra and Elementary Algebra Prealgebra and Elementary Algebra 978-1-63545-035-4 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek,

More information

6 th grade 7 th grade Course 2 7 th grade - Accelerated 8 th grade Pre-Algebra 8 th grade Algebra

6 th grade 7 th grade Course 2 7 th grade - Accelerated 8 th grade Pre-Algebra 8 th grade Algebra 0 September Factors and Multiples Ratios Rates Ratio Tables Graphing Ratio Tables Problem Solving: The Four- Step Plan Equivalent Ratios Ratio/Rate Problems Decimals and Fractions Rates Complex Fractions

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

Carnegie Learning Middle School Math Series: Grade 8 Indiana Standards Worktext Correlations

Carnegie Learning Middle School Math Series: Grade 8 Indiana Standards Worktext Correlations 8.NS.1 Give examples of rational and irrational numbers and explain the difference between them. Understand that every number has a decimal expansion; for rational numbers, show that the decimal expansion

More information

K-12 MATH HIGH ACHIEVEMENT OUTCOMES

K-12 MATH HIGH ACHIEVEMENT OUTCOMES K-12 MATH HIGH ACHIEVEMENT OUTCOMES Mission Statement: By working individually and cooperatively, students in math will apply mathematical concepts, demonstrate computational skills, and use technological

More information

Grade 8 Math Spring 2017 Item Release

Grade 8 Math Spring 2017 Item Release Grade 8 Math Spring 2017 Item Release 1 Grade 8 Reporting Category: Expressions and Equations Question 2 16701 Content Cluster: Investigate patterns of association in bivariate data. Content Standard:

More information

Q 1. Richland School District Two 8th Grade Mathematics Pacing Guide. Last Edit: 1/17/17

Q 1. Richland School District Two 8th Grade Mathematics Pacing Guide. Last Edit: 1/17/17 Overview of Units Pacing Guide Standards and Indicators Suggested Days Q 1 1-2 Unit 1: Geometry and Measurement: Transformations in the Plane Congruence: - Translations - Reflections - Rotations - Congruent

More information

correlated to the Ohio Academic Content Standards with Indicators Mathematics Grade 8

correlated to the Ohio Academic Content Standards with Indicators Mathematics Grade 8 correlated to the Ohio Academic Content Standards with Indicators Mathematics Grade 8 McDougal Littell Algebra 1 2007 correlated to the Ohio Academic Content Standards with Indicators Mathematics, Grade

More information

Integrated Math 3 Math 3 Course Description:

Integrated Math 3 Math 3 Course Description: Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes

More information

College Algebra with Trigonometry

College Algebra with Trigonometry College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

More information

Math 8 Common Core. Mathematics Prince George s County Public Schools

Math 8 Common Core. Mathematics Prince George s County Public Schools Math 8 Common Core Mathematics Prince George s County Public Schools 2014-2015 Course Code: Prerequisites: Successful completion of Math 7 Common Core This course continues the trajectory towards a more

More information

6 th Grade Math Connects

6 th Grade Math Connects 6 th Grade Math Connects Chapter 1: Multiply and Divide Decimals Multi-Part Lesson 1: Multiply Decimals A: Estimate Products B: Explore Multiply Decimals by Whole Numbers C: Multiply Decimals by Whole

More information

New York City Scope and Sequence for CMP3

New York City Scope and Sequence for CMP3 New York City Scope and Sequence for CMP3 The following pages contain a high-level scope and sequence for Connected Mathematics 3 and incorporate the State s pre- and poststandards guidance (see http://www.p12.nysed.gov/assessment/math/

More information

Bellwood-Antis School District Curriculum Revised on 11/08/12

Bellwood-Antis School District Curriculum Revised on 11/08/12 Course: Alg I Grade Level(s): 8 Bellwood-Antis School District Curriculum Revised on 11/08/12 Month Duration Common Core Standards/Anchors Content Assessment Instructional Activities Pre-Requisite Skills

More information

How well do I know the content? (scale 1 5)

How well do I know the content? (scale 1 5) Page 1 I. Number and Quantity, Algebra, Functions, and Calculus (68%) A. Number and Quantity 1. Understand the properties of exponents of s I will a. perform operations involving exponents, including negative

More information

Georgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade

Georgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade Georgia Standards of Excellence Curriculum Map Mathematics GSE 8 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. GSE Eighth Grade

More information

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10 Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real

More information

Middle School Math 3 Grade 8

Middle School Math 3 Grade 8 Unit Activity Correlations to Common Core State Standards Middle School Math 3 Grade 8 Table of Contents The Number System 1 Expressions and Equations 1 Functions 3 Geometry 4 Statistics and Probability

More information

8.EE.7a; 8.EE.7b 1.3 (Extra) 7 I can rewrite equations to solve for a different variable. 8.EE.7 1.4

8.EE.7a; 8.EE.7b 1.3 (Extra) 7 I can rewrite equations to solve for a different variable. 8.EE.7 1.4 Pre-Algebra Curriculum Map: (122 days) Unit #1: Algebra: Equations and Graphing (15 days) : Big Ideas Chapter 1 s: 8.EE.7a-b 1 I can solve one and two step equations. (1 day) 8.EE.7a; 8.EE.7b 1.1 (Extra)

More information

Integrated Mathematics I, II, III 2016 Scope and Sequence

Integrated Mathematics I, II, III 2016 Scope and Sequence Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational

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

Grade 8 Curriculum Map

Grade 8 Curriculum Map Grade 8 Curriculum Map 2007-2008 Moving Straight Ahead 25 Days Curriculum Map 2007-2008 CMP2 Investigations Notes Standards 1.2 Finding and Using Rates Walking Rates and Linear Relationships 1.3 Raising

More information

Common Core State Standards for Mathematics - High School

Common Core State Standards for Mathematics - High School to the Common Core State Standards for - High School I Table of Contents Number and Quantity... 1 Algebra... 1 Functions... 3 Geometry... 6 Statistics and Probability... 8 Copyright 2013 Pearson Education,

More information

Georgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade

Georgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade Georgia Standards of Excellence Curriculum Map Mathematics GSE 8 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. GSE Eighth Grade

More information

PreCalculus. Curriculum (447 topics additional topics)

PreCalculus. Curriculum (447 topics additional topics) PreCalculus 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

SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Standards

SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Standards SpringBoard Algebra 1 Correlations Crosswalk SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Stards N: Number Quantity N: Number Quantity N: Number Quantity N: Number Quantity Domain Cluster

More information

Correlation of Final Common Core Standards (06/02/10) Grade 8 to UCSMP Algebra, 2008

Correlation of Final Common Core Standards (06/02/10) Grade 8 to UCSMP Algebra, 2008 Correlation of Final Common Core Standards (06/02/10) Grade 8 to UCSMP Algebra, 2008 Final Common Core Standards (06/02/10) Lessons Page References The Number System Know that there are numbers that are

More information

New York City Scope and Sequence for CMP3

New York City Scope and Sequence for CMP3 New York City Scope and Sequence for CMP3 The following pages contain a high-level scope and sequence for Connected Mathematics 3 and incorporate the State s pre- and poststandards guidance (see http://www.p12.nysed.gov/assessment/math/

More information

Indiana Academic Standards for Mathematics (2014)

Indiana Academic Standards for Mathematics (2014) A Correlation of Pearson Mathematics Algebra 1, Geometry, and Algebra 2 Common Core to the for Mathematics (2014) Introduction This document demonstrates how Pearson Algebra 1, Geometry, Algebra 2 Common

More information

Basic Fraction and Integer Operations (No calculators please!)

Basic Fraction and Integer Operations (No calculators please!) P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.

More information

MATHEMATICS Video List

MATHEMATICS Video List LIBRARY SERVICES MATHEMATICS Video List Macon Campus Library June 2010 MATHEMATICS Basic College Mathematics 6e 2009 - LEARNING SUPPORT Textbook (DVD, 4 discs) 1. 1.1 Understanding Whole Numbers 1.2 Adding

More information

Pre-Algebra GT (Grade 6) Essential Curriculum. The Mathematical Practices

Pre-Algebra GT (Grade 6) Essential Curriculum. The Mathematical Practices Pre-Algebra GT (Grade 6) Essential Curriculum The Mathematical Practices The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to

More information

Mathematics 8 Essential Curriculum

Mathematics 8 Essential Curriculum Mathematics 8 Essential Curriculum The Mathematical Practices The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in

More information

HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS

HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 020 ELEMENTARY ALGEBRA CREDIT HOURS: 0.0 EQUATED HOURS: 4.5 CLASS HOURS: 4.5 PREREQUISITE: REQUIRED TEXTS: MAT 010 or placement on ACCUPLACER Martin-Gay,

More information

Guidelines for Standards-Based Instruction. (Summer School) Secondary Mathematics Grades Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION

Guidelines for Standards-Based Instruction. (Summer School) Secondary Mathematics Grades Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION Los Angeles Unified School District Guidelines for Standards-Based Instruction (Summer School) Secondary Mathematics Grades 6 12 Secondary Mathematics Grades 6-12 NOT FOR DISTRIBUTION Secondary Instructional

More information

Sixth Grade Mathematics Indicators Class Summary

Sixth Grade Mathematics Indicators Class Summary Mathematics Indicators Number, Number Sense and Operations Standard 1.1 Represent and compare number less than 0 through familiar applications and extending the number line. 1.1.1 Use simple expressions

More information

Dover-Sherborn High School Mathematics Curriculum Algebra I Level 1 CP/Honors

Dover-Sherborn High School Mathematics Curriculum Algebra I Level 1 CP/Honors Mathematics Curriculum A. DESCRIPTION This two semester course is designed to develop a thorough understanding of the framework of algebra, the real number system and related operations and methods of

More information

Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms. StraighterLine Introductory Algebra

Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms. StraighterLine Introductory Algebra Introductory Algebra Course Text Dugopolski, Mark. Elementary Algebra, 6th edition. McGraw-Hill, 2009. ISBN 9780077224790 [This text is available as an etextbook at purchase or students may find used,

More information

High School Math. Grades Scope and Sequence

High School Math. Grades Scope and Sequence High School Units-All-03feb12.docx High School Math Grades 9 11 Scope and Sequence High School Units-All-03feb12.docx TRADITIONAL Grade 9 Algebra One A0 Introductory Unit 5 days 5 A1 Modeling with Functions

More information

A4 Linear Equations & Inequalities in Two Variables 15 days. A5 Quadratic Functions. 5 days A-CED 2 A-CED 3 A-CED 4 A-REI 5 A-REI 6 A-REI 10 A-REI 12

A4 Linear Equations & Inequalities in Two Variables 15 days. A5 Quadratic Functions. 5 days A-CED 2 A-CED 3 A-CED 4 A-REI 5 A-REI 6 A-REI 10 A-REI 12 TRADITIONAL Grade 9: Algebra One A0 Intro Unit 5 days A1 Modeling with Functions 15 days N-Q 1 N-Q 2 N-Q 3 F-IF 1 F-IF 2 F-IF 3 F-IF 4* F-IF 5* F-IF 9* F-LE 1 F-LE 1a,1b F-LE 3 F-LE 5 A2 Linear Functions

More information

Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017

Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017 Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017 Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence ISBN 978-1-4601-3484-9 Questions or concerns regarding this document

More information

SECONDARY MATHEMATICS I

SECONDARY MATHEMATICS I SECONDARY MATHEMATICS I THE FUNDAMENTAL PURPOSE OF SECONDARY MATHEMATICS I is to formalize and extend the mathematics that students learned in the middle grades. The critical areas, organized into units,

More information

Pre Algebra. Curriculum (634 topics additional topics)

Pre Algebra. Curriculum (634 topics additional 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

Descriptor Formula Standard

Descriptor Formula Standard Grade/ Course Descriptor Standard 4 th -D Figures 4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional

More information

How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?

How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations? Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate

More information

Algebra 1. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots.

Algebra 1. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots. A1.1.1 Compare real number expressions. A1.1.2 Simplify square

More information

Algebra SEMESTER ONE. K12.com { Pg. 1 } Course Overview. Unit 1: Algebra Basics. Unit 2: Properties of Real Numbers

Algebra SEMESTER ONE. K12.com { Pg. 1 } Course Overview. Unit 1: Algebra Basics. Unit 2: Properties of Real Numbers Algebra Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform manipulations with numbers, variables, equations, and inequalities. They also learn

More information

Integrated Math I: High School RtI

Integrated Math I: High School RtI Integrated Math I: High School RtI The Pythagorean Theorem Transformation of Figures on the Coordinate Plane using the Pythagorean Theorem Calculating Distances on the Coordinate Plane Translating Plane

More information

Harrison School District

Harrison School District Harrison School District Curricular Documentation Harrison High School Math 2007-2008 Pam Jones Curriculum Coordinator 1 Harrison School District Curricular Documentation Algebra I for HHS 2007-2008 Pam

More information

Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation

Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Mathematics (304) Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Series are trademarks, in the U.S.

More information

Grade 8 Unit 1 at a Glance: Analyzing Graphs

Grade 8 Unit 1 at a Glance: Analyzing Graphs Grade 8 at a Glance: Analyzing Graphs The unit starts with two exploratory lessons that ask students to represent the world outside their classroom mathematically. Students attempt to sketch a graph to

More information

NORTH MAC MIDDLE SCHOOL CURRICULUM GUIDE

NORTH MAC MIDDLE SCHOOL CURRICULUM GUIDE Teacher Sara Floyd Grade Level 7 th Grade Course Pre-Algebra Honors Course Aims To prepare students for Algebra I. Course Description This course is designed for students who need the basic skills required

More information

STEM-Prep Pathway SLOs

STEM-Prep Pathway SLOs STEM-Prep Pathway SLOs Background: The STEM-Prep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions

More information

A Correlation of. Pearson. to the. Gwinnett County Academic Knowledge and Skills (AKS) Mathematics. Grade 8

A Correlation of. Pearson. to the. Gwinnett County Academic Knowledge and Skills (AKS) Mathematics. Grade 8 A Correlation of Pearson to the Gwinnett County Academic Knowledge and Skills (AKS) Mathematics and Skills (AKS) - Mathematics Table of Contents A - The Number System...1 B - Expressions and Equations...1

More information

Common Core State Standard I Can Statements 8 th Grade Mathematics. The Number System (NS)

Common Core State Standard I Can Statements 8 th Grade Mathematics. The Number System (NS) CCSS Key: The Number System (NS) Expressions & Equations (EE) Functions (F) Geometry (G) Statistics & Probability (SP) Common Core State Standard I Can Statements 8 th Grade Mathematics 8.NS.1. Understand

More information

Modesto Junior College Course Outline of Record MATH 20

Modesto Junior College Course Outline of Record MATH 20 Modesto Junior College Course Outline of Record MATH 20 I. OVERVIEW The following information will appear in the 2009-2010 catalog MATH 20 Pre-Algebra 5 Units Designed to help students prepare for algebra

More information

Algebra. Table of Contents

Algebra. Table of Contents Algebra...4 Patterns...5 Adding Real Numbers...7 Subtracting Real Numbers...9 Multiplying Real Numbers...11 Dividing Real Numbers...12 Order of Operations...13 Real-Number Operations with Absolute Value...16

More information

Algebra 2 with Trigonometry

Algebra 2 with Trigonometry Algebra 2 with Trigonometry 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

More information

Glossary. Glossary Hawkes Learning Systems. All rights reserved.

Glossary. Glossary Hawkes Learning Systems. All rights reserved. A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The

More information

Strand 1: Statistics and Probability

Strand 1: Statistics and Probability Strand 1: Statistics and Probability Topic 1.1 Counting Listing outcomes of experiments in a systematic way, such as in a table, using sample spaces, tree diagrams. 1.2 C oncepts of The probability of

More information

Topics Covered in Math 115

Topics Covered in Math 115 Topics Covered in Math 115 Basic Concepts Integer Exponents Use bases and exponents. Evaluate exponential expressions. Apply the product, quotient, and power rules. Polynomial Expressions Perform addition

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

Math Requirements for applicants by Innopolis University

Math Requirements for applicants by Innopolis University Math Requirements for applicants by Innopolis University Contents 1: Algebra... 2 1.1 Numbers, roots and exponents... 2 1.2 Basics of trigonometry... 2 1.3 Logarithms... 2 1.4 Transformations of expressions...

More information

CORE CURRICULUM PRODUCTS FET PHASE GRADE 10. (Content of additional subjects available on request) MATHEMATICS (PACEs )

CORE CURRICULUM PRODUCTS FET PHASE GRADE 10. (Content of additional subjects available on request) MATHEMATICS (PACEs ) CORE CURRICULUM PRODUCTS FET PHASE GRADE 10 (Content of additional subjects available on request) MATHEMATICS (PACEs 1109 1120) Learns about functional notation, graphs and determines the equation of a

More information

April 2016 Draft. DRAFT New Louisiana Standards for Correlation to Eureka Math Page 1. eureka math.org 2016 Great Minds

April 2016 Draft. DRAFT New Louisiana Standards for Correlation to Eureka Math Page 1. eureka math.org 2016 Great Minds DRAFT New Louisiana Standards for 2016 2017 Correlation to Eureka Math Grade 8 April 2016 Draft DRAFT New Louisiana Standards for 2016 2017 Correlation to Eureka Math Page 1 Grade 8 Mathematics The majority

More information

BUILT. for. Regents Pathways

BUILT. for. Regents Pathways BUILT for NY 2016 2017 Algebra 1 Regents Pathway Think Through Math s Algebra 1 Regents pathway is designed to equip students with the skills and conceptual understandings of high school level mathematics

More information

NEW YORK ALGEBRA TABLE OF CONTENTS

NEW YORK ALGEBRA TABLE OF CONTENTS NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative

More information

Algebraic Connections. Mathematics Curriculum Framework. Revised 2004

Algebraic Connections. Mathematics Curriculum Framework. Revised 2004 Algebraic Connections Mathematics Curriculum Framework Revised 2004 Course Title: Algebraic Connections (Third-year Course) Course/Unit Credit: 1 Course Number: Teacher Licensure: Secondary Mathematics

More information

New York CCLS. Practice. Teacher Guide Mathematics. NYS Test. Addresses latest. updates from 11/20/12. Replaces Practice Test 3

New York CCLS. Practice. Teacher Guide Mathematics. NYS Test. Addresses latest. updates from 11/20/12. Replaces Practice Test 3 C o m m o n C o r e E d i t i o n New York CCLS Practice 8 Teacher Guide Mathematics Addresses latest NYS Test updates from 11/20/12 Replaces Practice Test 3 2013 Curriculum Associates, LLC North Billerica,

More information

8 th Grade Math. Units of Study. Overview

8 th Grade Math. Units of Study. Overview 8 th Grade Math Overview Course Description: In this class students will learn the rest of the essentials necessary for them to move forward into Algebra at the High School level. The class will teach

More information

Mathematics: Algebra II Honors Unit 1: Quadratic Functions

Mathematics: Algebra II Honors Unit 1: Quadratic Functions Understandings Questions Knowledge Vocabulary Skills Quadratic functions can be used to model real-life situations. What are the properties of Algebra and how are these used to solve quadratic equations?

More information

Saxon Advanced Mathematics Scope and Sequence

Saxon Advanced Mathematics Scope and Sequence hmhco.com Saxon Advanced Mathematics Scope and Sequence Foundations Calculator Perform two-variable analysis Use graphing calculators Find roots of equations Solve systems of equations Exponentials and

More information

Prentice Hall Algebra Correlated to: Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12)

Prentice Hall Algebra Correlated to: Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12) Prentice Hall Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12) Hawaii Content and Performance Standards II* NUMBER AND OPERATIONS STANDARD 1: Students understand numbers, ways

More information

Index. Excerpt from "Art of Problem Solving Volume 1: the Basics" 2014 AoPS Inc. / 267. Copyrighted Material

Index. Excerpt from Art of Problem Solving Volume 1: the Basics 2014 AoPS Inc.  / 267. Copyrighted Material Index Ø, 247 n k, 229 AA similarity, 102 AAS congruence, 100 abscissa, 143 absolute value, 191 abstract algebra, 66, 210 altitude, 95 angle bisector, 94 Angle Bisector Theorem, 103 angle chasing, 133 angle

More information

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions. GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The

More information

Algebra 2 (3) Apex - Semester 1 Part A

Algebra 2 (3) Apex - Semester 1 Part A Algebra 2 (3) Apex - Semester 1 Part A Name Algebra I Literacy Advantage Unit 1 : The Need to Read Lesson 1.1 : Reading and Vocabulary Activity 1.1.1 : Study - Active Reading Learn skills and strategies

More information

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

More information

PA Core Standards For Mathematics 2.2 Algebraic Concepts PreK-12

PA Core Standards For Mathematics 2.2 Algebraic Concepts PreK-12 Addition and Represent addition and subtraction with CC.2.2.PREK.A.1 Subtraction objects, fingers, mental images, and drawings, sounds, acting out situations, verbal explanations, expressions, or equations.

More information

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 6 Mathematics

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 6 Mathematics Mapping Common Core State Clusters and Ohio s Grade Level Indicators: Grade 6 Mathematics Ratios and Proportional Relationships: Understand ratio concepts and use ratio reasoning to solve problems. 1.

More information

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks The Smarter Balanced Assessment Consortium (SBAC) has created a hierarchy comprised of

More information

Algebra 1 Part 1 Curriculum Guide Dunmore School District Dunmore, PA

Algebra 1 Part 1 Curriculum Guide Dunmore School District Dunmore, PA Algebra 1 Part 1 Dunmore School District Dunmore, PA Algebra 1 Part 1 Prerequisite: Successful completion of Pre Algebra Algebra 1 Part 1 and Algebra 1 Part 2 K together create an Algebra course covered

More information

Overview. Mathematical Practices Sixth Grade Seventh Grade Eighth Grade

Overview. Mathematical Practices Sixth Grade Seventh Grade Eighth Grade Overview 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.

More information

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw-Hill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase

More information

Traditionally, an Algebra 1 course focuses on

Traditionally, an Algebra 1 course focuses on Traditionally, an Algebra 1 course focuses on rules or specific strategies for solving standard types of symbolic manipulation problems usually to simplify or combine expressions or solve equations. For

More information

8 th Grade Vocabulary Cards and Word Walls Revised: January 4, 2016

8 th Grade Vocabulary Cards and Word Walls Revised: January 4, 2016 8 th Grade Vocabulary Cards and Word Walls Revised: January 4, 2016 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State

More information

Agile Mind Mathematics 8 Scope and Sequence, Texas Essential Knowledge and Skills for Mathematics

Agile Mind Mathematics 8 Scope and Sequence, Texas Essential Knowledge and Skills for Mathematics Agile Mind Mathematics 8 Scope and Sequence, 2014-2015 Prior to Grade 8, students have written and interpreted expressions, solved equations and inequalities, explored quantitative relationships between

More information

+ Curriculum Mapping Template

+ Curriculum Mapping Template + Curriculum Mapping Template Name: Eichorn/Maiorano, Parent Subject Area: 8 th grade Mathematics 26 Days CMP2/3: Thinking with Mathematical Models What are the key variables in the situation? Is there

More information

Montgomery College algebra Equations & Problem Solving *Order of Operations & Simplifying Algebraic. Expressions

Montgomery College algebra Equations & Problem Solving *Order of Operations & Simplifying Algebraic. Expressions Where to go for help with the lessons in the I textbook: www.pearsonsuccessnet.com Username: student id number followed by scpsfl Password: YYYYMMDDscpsfl Click Student Resource Choose the chapter Choose

More information

HIGH SCHOOL TRADITIONAL PLUS MODEL COURSE SEQUENCE

HIGH SCHOOL TRADITIONAL PLUS MODEL COURSE SEQUENCE HIGH SCHOOL TRADITIONAL PLUS MODEL COURSE SEQUENCE Algebra I Geometry Algebra II Achieve, Inc. May 2008 May 2008 1 Achieve, Inc. Traditional Plus Course Algebra I This one-year Algebra I course is designed

More information

Common Core State Standards for Mathematics Grade 8 Houghton Mifflin Harcourt Go Math, Grade 8 Common Core Edition 2014

Common Core State Standards for Mathematics Grade 8 Houghton Mifflin Harcourt Go Math, Grade 8 Common Core Edition 2014 Correlation to the Common Core State Standards for Mathematics Grade 8 Houghton Mifflin Harcourt Go Math, Grade 8 Common Core Edition 2014 Houghton Mifflin Harcourt Go Math, Grade 8 Common Core Edition

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