Assessment Rubric

4 = Exceeds the standards (Advanced)

3 = Meets the standards (Proficient)

2 = Approaching the standards (Developing)

1 = Below the standards (Latent)

	- = Novice	Ö = Apprentice	+ = Practitioner	= Expert
Knowledge	Student is unable to attain and communicate the necessary information or shows little initiative to try.	Student shows willingness to learn the information, but is unable to meet the minimum requirement of 70% on assignments. Inconsistently meets the standards.	Student scores a minimum of 70% on tests, presentations, worksheets and projects, or a rating of proficient on a scoring guide. Consistently meets the standards.	Student demonstrates in-depth knowledge and consistently scores above 90% on assignments, or a rating of advanced on a scoring guide. Consistently exceeds the standards.
Skills	Student fails to attain or demonstrate the required skills to a minimum level and shows minimum initiative to learn.	Student partially demonstrates the required skill or unable to master the skill on a consistent basis.	Student can demonstrate the required skill a minimum of three times or on a consistent basis, or a rating of proficient on a scoring guide.	Student demonstrates the required skill at an exceptional level in a self-directed manner, or a rating of advanced on a scoring guide. Consistently exceeds the standards.

The Five Process Strands (how all mathematical content is taught)

Problem Solving Strand  (PS) Students will:

Ÿ build new mathematical knowledge through problem solving;

Ÿ solve problems that arise in mathematics and in other contexts;

Ÿ apply and adapt a variety of appropriate strategies to solve problems;

Ÿ monitor and reflect on the process of mathematical problem solving.

Reasoning and Proof Strand  (RP) Students will:

Ÿ recognize reasoning and proof as fundamental aspects of mathematics;

Ÿ make and investigate mathematical conjectures;

Ÿ develop and evaluate mathematical arguments and proofs;

Ÿ select and use various types of reasoning and methods of proof.

Communication Strand  (CM) Students will:

Ÿ organize and consolidate their mathematical thinking through communication;

Ÿ communicate their mathematical thinking coherently and clearly to peers, teachers, and others;

Ÿ analyze and evaluate the mathematical thinking and strategies of others;

Ÿ use the language of mathematics to express mathematical ideas precisely.

Connections Strand  (CN) Students will:

Ÿ recognize and use connections among mathematical ideas;

Ÿ understand how mathematical ideas interconnect and build on one another to produce a coherent whole;

Ÿ recognize and apply mathematics in contexts outside of mathematics.

Representation Strand (R)  Students will:

Ÿ create and use representations to organize, record, and communicate mathematical ideas;

Ÿ select, apply, and translate among mathematical representations to solve problems;

Ÿ use representations to model and interpret physical, social, and mathematical phenomena.

Unit Title	Round Palaces & Places
Text	Harcourt Math: Grade 5
Strand Addressed	Number Sense and Operations (with focus on number sense)
Unit Objectives (Students will…)	Content: Ÿ Use place value to represent and order whole numbers and decimals Ÿ Round whole numbers and decimals to the nearest hundredth and up to 10,000 Ÿ Find factors and multiples of numbers Ÿ Distinguish between prime and composite numbers
	Attitudinal: Ÿ Appreciate that the place value base-10 system is very important to all the mathematics that they will learn at the elementary level. Therefore, understanding it is or priority to them.
	Process: Ÿ Make connections between the ability to represent numbers and the real world. Ÿ Understand that some ways of representing numbers are more efficient than others Ÿ Work in cooperative groups to solve number sense problems

Resources
Internet	Harcourt Learning Site Activities http://www.harcourtschool.com password: Andrews	Ÿ Chapter 1: Forms of Numbers; Chapter 2: Thousandths Ÿ That’s a Fact Ÿ Show Me Ÿ E-Lab Ÿ Glossary Ÿ Math Jingles
Internet	www.Brainpop.com	Ÿ Math Calculation and Computation Movies
Textbook	Problem of the Day	Per lesson
	Intervention	Ÿ Intervention Skills Teacher’s Guide with Copying Masters Ÿ Intervention Problem Solving Workbook
	Enrichment	Ÿ Challenge Workbook
Enrichment	Level 4-6: Mathematics Activities for Elementary Classroom (KSAM) Publisher: Curriculum Associates	Ÿ Calcuplace Ÿ Five is Alive Ÿ Grab Gag Ÿ Just Picking Ÿ Numbers in the News
Art	Page 86: It’s In The Bag
Technology	Online Math Quizzes

Round Palaces & Places

NB: Mandatory portfolio items are in bold. Strands addressed are shaded grey.

Standards by

CONTENT STRANDS

Standards by

PROCESS STRANDS

5N1

5N2

5N3

5N8

5N10

5N12

5N13

5N14

5N15

5N24

Lesson 1.1 Understand Place Value

Lesson 1.2 Millions And Billions

Lesson 2.3 Compare And Order Decimals

Lesson 3.1 Round Whole Numbers

Lesson 3.2 Round Decimals

Lesson 13.2 Greatest Common Factor (GCF)

Lesson 13.3 Multiples And The LCM

Lesson 14.3 Prime And Composite Numbers

Problem Solving Activity

Performance Assessment Project

Unit Test

Quiz 1

Quiz 2

Quiz 3

Expanded Content Strands

5.N.1 Read and write whole numbers to millions

5.N.2 Compare and order numbers to millions

5.N.3 Understand the place value structure of the base ten number system

10 ones = 1 ten

10 tens = 1 hundred

10 hundreds = 1 thousand

10 thousands = 1 ten thousand

10 ten thousands = 1 hundred thousand

10 hundred thousands = 1 million

5.N.8 Read, write, and order decimals to thousandths

5.N.10 Compare decimals using <, >, or =

5.N.12 Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)

5.N.13 Calculate multiples of a whole number and the least common multiple of two numbers

5.N.14 Identify the factors of a given number

5.N.15 Find the common factors and the greatest common factor of two numbers

5.N.24 Round numbers to the nearest hundredth and up to 10,000

Prerequisite Content & Skills (Post-March Grade 4)

4.N.7 Develop an understanding of fractions as locations on number lines and as divisions of whole numbers

4.N.8 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations

4.N.9 Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of a number line)

4.N.24 Express decimals as an equivalent form of fractions to tenths and hundredths

4.A.2 Use the symbols <, >, =, and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths)

Unit Title	Facts, Factions & Fractions
Text	Harcourt Math: Grade 5
Strand Addressed	Number Sense and Operations (with focus on Fractions)
Unit Objectives (Students will…)	Content: Ÿ Compare and order fractions including unlike denominators (with and without the use of a number line), especially commonly used fractions such as those that might be indicated on ruler, measuring cup, etc Ÿ Use a variety of strategies to add and subtract fractions with like denominators Ÿ Estimate sums and differences of fractions with like denominators
	Attitudinal: Ÿ Appreciate that fractions are necessary in every-day life e.g. clothing sizes, measurement, and money. Ÿ Be willing to learn how to correctly apply operations to fractions.
	Process: Ÿ Make connections between fractions and the real world. Ÿ Work in cooperative groups to solve fraction problems

Resources
Internet	Harcourt Learning Site Activities http://www.harcourtschool.com password: Andrew	Ÿ Chapter 15,16 -Fractions Ÿ That’s a Fact Ÿ Show Me Ÿ E-Lab Ÿ Glossary Ÿ Math Jingles
Internet	www.Brainpop.com	Ÿ Math Calculation and Computation Movies
Textbook	Problem of the Day	Per lesson
	Intervention	Ÿ Intervention Skills Teacher’s Guide with Copying Masters Ÿ Intervention Problem Solving Workbook
	Enrichment	Ÿ Challenge Workbook
Enrichment	Level 4-6: Mathematics Activities for Elementary Classroom (KSAM) Publisher: Curriculum Associates	Ÿ Double Trouble Ÿ What comes next? Ÿ Estimate Enough Ÿ Who gets the biggest piece
Language Arts	Synthesize Information	TE pg 378B, Reading Strategy Worksheet 17.5
Technology	Online Math Quizzes

Facts, Factions & Fractions

NB: Mandatory portfolio items are in bold. Strands addressed are shaded grey.

Standards by

CONTENT STRANDS

Standards by

PROCESS STRANDS

5N4

5N5

5N9

5N19

5N20

5N21

5N22

5N25

Lesson 15.1. Equivalent Fractions

Lesson 15.2. Simplest Form

Lesson 15.3. Understanding Mixed Numbers

Lesson 15.4. Compare And Order Fractions And Mixed Numbers

Lesson 16.1. Add And Subtract Like Fractions

Lesson 16.3. Use Common Denominators

Lesson 17.1. Add Mixed Numbers

Lesson 17.2. Subtract Mixed Numbers

Problem Solving Activity

Performance Assessment Project

Unit Test

Quiz 1

Quiz 2

Quiz 3

Expanded Content Strands

5.N.19 Simplify fractions to lowest terms

5.N.4 Create equivalent fractions, given a fraction

5.N.5 Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.

5.N.9 Compare fractions using <, >, or =

5.N.20 Convert improper fractions to mixed numbers, and mixed numbers to improper fractions

5.N.21 Use a variety of strategies to add and subtract fractions with like denominators

5.N.22 Add and subtract mixed numbers with like denominators

5.N.25 Estimate sums and differences of fractions with like denominators

Prerequisite Content & Skills (Post-March Grade 4)

4.N.7 Develop an understanding of fractions as locations on number lines and as divisions of whole numbers

4.N.8 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations

4.N.9 Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of a number line)

4.N.24 Express decimals as an equivalent form of fractions to tenths and hundredths

4.A.2 Use the symbols <, >, =, and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths

Operate On Me!

NB: Mandatory portfolio items are in bold. Strands addressed are shaded grey.

Standards by

CONTENT STRANDS

Standards by

PROCESS STRANDS

5M7

5N18

5N23

5N26

5G1

5A6

Lesson 3.3. Estimate Sums And Differences

Lesson 3.5. Add And Subtract Decimals

Lesson 25.1. Estimate Perimeter

Lesson 25.2. Find Perimeter

Lesson 24.6. Time And Temperature

Lesson 12.2. Order Of Operations

Problem Solving Activity

Performance Assessment Project

Unit Test

Quiz 1

Quiz 2

Quiz 3

Expanded Content Strands

5.N.18 Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses

5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths

5.N.26 Estimate sums, differences, products, and quotients of decimals

5.M.7 Calculate elapsed time in hours and minutes

5.G.1 Calculate the perimeter of regular and irregular polygons

5.A.6 Evaluate the perimeter formula for given input values

Prerequisite Content & Skills (Post-March Grade 4)

4.N.23 Add and subtract proper fractions with common denominators

4.N.25 Add and subtract decimals to tenths and hundredths using a hundreds chart

Multipeds, Multiples & Multiplying

NB: Mandatory portfolio items are in bold. Strands addressed are shaded grey.

Standards by

CONTENT STRANDS

Standards by

PROCESS STRANDS

5N16

5N23

5N26

Multiply 3-digit by 3-digit numbers

Lesson 7.1. Estimation: Patterns In Multiples

Lesson 8.1. Multiplying Decimals And Whole Numbers

Lesson 8.2. Patterns In Decimal Factors And Products

Lesson 8.3. Model Decimal Multiplication

Lesson 8.4. Place The Decimal Point

Lesson 8.5. Zeros In The Product

Problem Solving Activity

Performance Assessment Project

Oakview Preparatory School of Seventh-day Adventists

Table of Contents Sequence of Units 2005-2006

Assessment Rubric

Round Palaces & Places

Facts, Factions & Fractions

Operate On Me!

Multipeds, Multiples & Multiplying

Oakview Preparatory School of Seventh-day Adventists


	GRADE 5 Pre-March Mathematics Units 2005-2006 Instructor Mr. Elvis Agard

Unit Title	Operate On Me!
Text	Harcourt Math: Grade 5
Strand Addressed	Number Sense and Operations (with focus on the operations ‘+’ and ‘-’)
Unit Objectives (Students will…)	Content: Ÿ Estimate Sums And Differences Ÿ Apply addition and subtraction to perimeter, Time and Temperature Ÿ Compute sums using order of operations
	Attitudinal: Ÿ Appreciate the need to add and subtract correctly in the real world eg banking, payrolls, shopping. Ÿ Be willing to learn to apply addition and subtraction to different representation of numbers
	Process: Ÿ Make connections between adding and subtracting and the real world. Ÿ Work in cooperative groups to solve addition and subtraction problems.