# Math Curriculum Maps

 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES 6-Mental Addition               7-Mental Subtraction   8-Adding Two-digit numbers                       9-Subtracting Two-digit numbers     10-Place Value to 1,000 Fluently add and subtract within 100 using strategies based on place value, properties or operations, and/pr the relationship between addition and subtraction. Mentally add 10 or 100 to a given number. Mentally subtract 10 and 100 from a given number. Add up to four two-digit numbers using strategies based on place value and properties of operations. Understand that in adding three-digit numbers one adds hundreds and hundreds, tens and tens, ones and ones. Adding on a number line; represent whole numbers as lengths from zero on a number line corresponding to the numbers one, two, three… Same as above; including- subtract using strategies based on place value and properties of operations. Understand that 100 can be thought of as a bundle of 10, 10s called one-hundred. The numbers 100-900 refer to one-hundred, through 9-hundreds as bundles of hundreds. Informal Assessment. Formal Assessment. Counters, hundreds chart, place value blocks (base ten blocks), cubes. Same as above. Cubes, number line. Same as above. Place value blocks, hundreds charts.
 Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES 11-Three-digit Addition and Subtraction               14- Money           13-Counting Money   12-Geometry Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds from hundreds, tens and tens, ones and ones. Sometimes, compose or decompose tens and hundreds. Explain why addition and subtraction strategies work. Solve word problems involving dollars, quarters, dimes, nickels, pennies. Use dollar-sign and cent-sign appropriately. Same as above Recognize and draw shapes having specified attributes such as number of angles, and number of faces. Identify triangles, quadrilaterals, pentagons, hexagons and cubes. Partition a rectangle into equal shapes. Begin to recognize and use the words halves, thirds, etc. Informal assessment. Formal assessment. Place value blocks. Play money. Same as above. Geometric shapes/solids.
 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Topic 4 – Meanings of Multiplication Topic 5 – Multiplication Facts: Use Patterns Topic 6 – Multiplication Facts: Use Known Facts Lesson 4-1: Students will write multiplication problems using the “x” symbol Lesson 4-2: Students will make and use arrays to find products Lesson 4-3: Students will write multiplication sentences for arrays Lesson 4-4: Students will write math stories for given multiplication facts Lesson 4-5: Students will solve multiplication word problems Lesson 5-3: Students with multiply with 0 and 1 as factors Lesson 5-1: Students will multiply with 2 and 5 as factors Lesson 5-5: Students will multiply with 10 as a factor Lesson 5-2: Students will multiply with 9 as a factor Lesson 6-2: Students will multiply with 3 as a factor Lesson 6-3: Students will multiply with 4 as a factor Lesson 6-4: Students will multiply with 6 and 7 as factors Lesson 6-5: Students will multiply with 8 as a factor Chapter 4 Quiz Mult Quiz on the 0’s, 1’s, and 2’s Mult Quiz on the 10’s Mult Quiz on the 2’s, 5’s, and 9’s Mult Quiz on the 3’s and 4’s Mult Quiz on the 6’s Mult Quiz on the 7’s and 8’s Mixed Mult Facts Quiz Math Textbook, Worksheets, and teacher made quizzes and test Math Textbook, Worksheets, and teacher made quizzes and test Math Textbook, Worksheets, and teacher made quizzes and test Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES Topic 9 – Understanding Fractions         Topic 12 - Time Topic 7 – Meanings of Division Topic 8 – Division Facts 2-digit x 1-digit Multiplication Unit       2-digit x 2-digit Multiplication Unit       Long Division Unit Lesson 9-1: Students with identify regions that have been divided into equal sized parts Lesson 9-2: Students will associate the model, symbol, and words used to describe a fractional part of a whole region Lesson 12-1: students will tell time to the nearest half hour and quarter using analog and digital clocks and identify A.M. and P.M. Lesson 12-2: Students will tell time to the nearest minute using analog and digital clocks Lesson 12-3: Students will perform simple conversions for units of time Lesson 12-4: Students will find elapsed time in intervals of minutes Lesson 7-1: Students will use models to solve division problems Lesson 7-2: Students will understand that division is also repeated subtraction Lesson 7-3: Students will use multiplication tables to find answers to division problems Lesson 7-5: Students will write and solve number stories involving division Lesson 8-1: Students will give a multiplication fact and state a related division fact Lesson 8-7: Students will give quotients for division facts with divisors of 0 and 1 Lesson 8-2: Students will give quotients for division facts with divisors of 2, 3, 4, and 5 Lesson 8-3: Students will give quotients for division facts with divisors of 6 and 7 Lesson 8-4: Students will give quotients for division facts with divisors of 8 and 9 Lesson 8-5: Students will use previously learned skills to solve multiple-step problems Lesson 8-6: Students will use multiplication and division facts to decide whether both sides of an equation is equal Lesson 8-8: Students will use multiplication and division facts to solve problems Lesson 8-9: Students will solve division word problems by drawing a picture and writing a number sentence Students will be able to multiply a two digit number by a 1 digit number Students will be able to multiply a two digit number by a two digit number Students will be able to learn and apply the five steps in long division (Divide, Multiply, Subtract, Check, and Bring down) and be able to solve the problems Worksheets Time Quiz on Lesson 12-2 Weekly math quiz based on the math lessons that were taught the previous week Weekly math quiz based on the math lessons that were taught the previous week Chapter 8 Test 2 digits x 1 digit Multiplication Quiz 2 digits x 2 digit Multiplication Quiz Worksheets Math Textbook and Worksheets Math Textbook, Worksheets, and teacher made quiz Math Textbook, Worksheets, and teacher made quizzes and test Math Textbook, Worksheets, and teacher made quizzes and test Worksheets and teacher made quiz Worksheets and teacher made quiz Teacher made worksheets
•  Trimester 1 TOPIC OBJECTIVES ASSESSMENT RESOURCES Review: Reading Clocks, Money, Adding 2-digit numbers to 2-digit numbers, Adding 1-digit numbers to 2-digit numbers, Writing problems horizontally and vertically Unit 1: Multiplication and Division: Meanings and Facts Unit 2: Generate and Analyze Patterns Unit 3: Place Value Unit 4: Addition and Subtraction of Whole Numbers Unit 5: Multiplying by 1-Digit Numbers Unit 6: Developing Fluency: Multiplying 1-Digit Numbers Unit 7: Number Sense: Multiplying 2-Digit Numbers Read, clearly write and order numbers 0 to 1,000,000 Read and write numbers to the thousands place using place value charts (*hundred thousands) Read and write numbers in standard, word, and expanded form Understand place value to millions Compare numbers using symbols: greater than, less than and equal to Write numbers in expanded notation up to 1,000,000 Round numbers to the nearest tens, hundreds, thousands, ten thousands Understand meaning of factor and multiple Multiply a 3-digit or 4-digit number by a 1-digit number Teacher generated quizzes Unit 1 Test Unit 2 Test Unit 3 Test Unit 4 Test Unit 5 Test and Unit 6 Test Combined Unit 7 Test Daily Assessment: Individual Whiteboard Work Independent Worksheets -enVision Textbook -enVision Worksheets -Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks
 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 8: Developing Fluency: Multiplying by 2-Digit and 3-Digit Numbers Unit 9 and 10: Division Multiply a 2-digit or 3-digit number by a 2-digit or 3-digit number   Divide Multiple Digit Numbers by 1-Digit Numbers Teacher generated quizzes Unit 8 Test (Teacher Generated)   Unit 9 and 10 Test (Teacher Generated) Daily Assessment: Individual Whiteboard Work Independent Worksheets - Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks
 Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 11: Fraction Equivalence and Ordering Unit 12: Adding and Subtracting Fractions and Mixed Numbers with Like Denominators. Unit 13: Extending Fraction Concepts Find all factor pairs for a whole number Compare two fractions with different numerators and different denominators Explain why a fraction is equivalent to a fraction Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Add and subtract mixed numbers Solve word problems involving addition and subtraction of fractions. Multiple a whole number by a fraction Write fractions as decimals and decimals as fractions Name and locate fractions and decimals on a number line Read and write decimals in standard, expanded, and word form Teacher generated quizzes Unit 11 Test Unit 12 Test Unit 13 Test   Daily Assessment: Individual Whiteboard Work Independent Worksheets -enVision Textbook -enVision Worksheets -Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks
•  Trimester 1 TOPIC OBJECTIVES ASSESSMENT RESOURCES Review Place Value (Topic 1) Adding/Sub Decimals (Topic 2) Basic review of addition Basic review of subtraction with regrouping across zeros Basic review of multiplication Basic review of division with 2 digit divisors and remainders written as fractions Read, clearly write and order numbers through 100,000,000 Read and write numbers in standard form, expanded form, and word form to the hundred millions place Read and write numbers in standard form, expanded form, and word form to the thousandths Compare and order decimals through thousandths Finding a pattern to solve a problem Identify and utilize commutative, associative and zero property of addition Round decimals to nearest tenths through and thousandths Round whole numbers Estimating sums and differences Addition and subtraction of decimals Multi-step problem solving Various worksheets Lesson and practice sheets Topic 1 test Performance task 1 Lesson and practice sheets Topic 2 test Performance Task 2 Revised Lesson sheets and practice sheets from enVision Revised Lesson sheets and practice sheets from enVision
 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Multiplying whole numbers (Topic 3) Dividing whole numbers (Topic 4 & 5) Identify and utilize commutative, associative and zero property of multiplication Estimating products Writing exponential numbers in expanded form, word form and standard form Multiplying numbers with 2 and 3 digit factors Order of operations multiple by multiples of 10 mentally Problem solving with multiplication graphing on a coordinate plane divide multiples of 10 estimating quotients problem solving with division dividing by 2 digit divisors determine the meaning of remainders complete a table based on pattern determine information needed to solve a word problem Lesson and practice sheets Topic 3 test Performance Task 3 Lesson and practice sheets Topic 4 test Topic 5 test Performance Task 4 Performance Task 5 Revised Lesson sheets and practice sheets from enVision Revised Lesson sheets and practice sheets from enVision
•  Trimester 1 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 1: Number Sense, Equations and Variables   Whole Numbers and Patterns Introduction to Algebra Decimals Compare and Order Whole Numbers Estimate with Whole Numbers Work with Exponents Use Mental Math to do arithmetic operations Explore the Order of Operations Explore Patterns and Sequences Identify and Evaluate Expressions Translate between Words and Mathematical expressions Translate Mathematical expressions into Words Write expressions for tables and sequences Solve one-step addition, subtraction, multiplication and division equations with whole number coefficients Represent, compare and order decimals Estimate decimals Add, Subtract, Multiply and Divide with decimals Write numbers in Scientific Notation Solve Decimal Equations Solve problems and interpret the quotient as it relates to the problem Teacher generated quizzes/tests Chapter 1 Test Chapter 2Test Chapter 3 Test   Daily Assessment: Daily Do Now Individual Whiteboard Work Independent Worksheets Exit Tickets - Math 1, Holt, Rinehart and Winston 2007 - Math 1 Resource Worksheets -Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks - DeltaMath.com - Khan Academy - Desmos.com - Padlet.com - gorw.com Extension: Concept of Negative Numbers - Number Line, Solving and Graphing simple Inequalities
 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 1: Number Sense, Equations and Variables   Number Theory and Fractions Fraction Operations Proportional Relationships Use divisibility rules Identify prime and composite numbers Write the prime factorization of composite numbers Find the greatest common factor of a set of numbers Convert decimals into fractions or mixed numbers, vice-versa Use pictures and number lines to order and compare fractions Write fractions in simplest form Find equivalent fractions Convert between mixed numbers and improper fractions Add and Subtract fractions with like denominators, unlike denominators, and mixed numbers Multiply and Divide with fractions Estimate fraction sums and differences Find the least common multiple (LCM) of a group of numbers Solving simple equations involving fractions Write ratios, find rates and unit rates Use a table to find equivalent ratios and rates Model proportions Write and solve proportions Use Cross-Products to complete proportions Identify and name points, lines and planes Name, measure, draw and classify angles Understand angle relationships Classify different types of lines Classify triangles by angles and length of sides Solve problems involving angle measures of triangles Teacher generated quizzes/tests Chapter 4 Test Chapter 5 Test Chapter 7.1, 7.2, 7.3, Test Chapter 8.1, 8.2, 8.3, 8.4, 8.5 Test   Daily Assessment: Daily Do Now Individual Whiteboard Work Independent Worksheets Exit Tickets - Math 1, Holt, Rinehart and Winston 2007 - Math 1 Resource Worksheets -Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks - DeltaMath.com - Khan Academy - Desmos.com - Padlet.com - go.hrw.com Note: Some sections of Unit 2: Geometry and Measurement are covered in the second trimester Extension: Venn-Diagrams to describe number sets, Prove the Angle Sum Theorem by using Geometry
 Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 2: Geometry and Measurement   Geometric Relationships Measurement and Geometry Area and Volume     Unit 3: Data Analysis   Collecting and Displaying Data Probability Identify similar figures Use proportions to find missing measures in similar figures Use indirect measurement to find the height of tall objects Read and Use map scales and scale drawings Write percent as decimals and as fractions Write decimals and fractions as percent Use the proportion method and equation method to find the missing value in a percent problem Solve percent problems that involve discounts, tips, and sales tax Identify, classify and compare quadrilaterals Draw a diagram to classify quadrilaterals based on their properties Identify regular and irregular polygons Find angle measures of regular polygons Recognize, describe and extend geometric patterns Identify congruent figures and use congruence to solve problems Use translations, reflections, and rotations to transform geometric shapes Identify line symmetry Understand and select appropriate, customary and metric units of measure Convert customary units of measure and metric units of measure Convert time, find elapsed time Convert from degrees Fahrenheit to Celcius and vice-versa Use a protractor to find measures of angles of polygons Find the perimeter and missing side lengths of a polygon Identify the parts of a circle, and find the circumference of a circle Estimate areas of irregular figures Find the areas of triangles, parallelograms, trapezoids, composite figures, and circles Make a model to explore how area and perimeter are affected by changes in the dimensions of a figure Name three-dimensional figures Find the volumes of prisms, cylinders, Find Surface areas Use tables to record and organize data Find the mean, median, mode, and range of a data set Learn the effect of additional data and outliers Display and analyze data in bar graphs, and line graphs Organize data in line plots, frequency tables, and histograms Graph Ordered Pairs on a Coordinate Grid Recognize misleading graphs Make and analyze stem-and-leaf plots Choose the appropriate way to display data Estimate the likelihood of an event Write and compare probabilities Experimental and Theoretical Probabilities Use counting methods to find all possible outcomes Teacher generated quizzes/tests Chapter 6 Test Chapter 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, 7.10 Test Chapter 8.6, 8.7, 8.8, 8.9, 8.10, 8.11 Test Chapter 9 Test Chapter 10 Test Chapter 12 Test   Daily Assessment: Daily Do Now Individual Whiteboard Work Independent Worksheets Exit Tickets - Math 1, Holt, Rinehart and Winston 2007 - Math 1 Resource Worksheets -Teacher generated worksheets -Worksheets from Internet sites -Worksheets from Supplemental Math Workbooks - DeltaMath.com - Khan Academy - Desmos.com - Padlet.com - go.hrw.com

Extension: Simple Interest, Derive the equation to find the Sum of all Interior Angles of any Polygon; Understand and Create Tessellations; Explore area of circles by using what you know about pi and by unfolding a circle; Explore and Model Three-Dimensional figures by using nets; Find the probability of dependent and independent events

Chapter 11 – Integers, Graphs and Function

Project: Research on the mathematical discoveries during the Renaissance Era

• Trimester 1

TOPIC

OBJECTIVES

ASSESSMENT

RESOURCES

Unit 1: Number Sense, Equations, Inequalities and Variables

•
• Algebra Toolbox: Equations, Inequalities and Graphing Solutions
• Integers and Exponents
• Rational and Real Numbers
• Evaluate Algebraic Expressions
• Translating Word Phrases to Math Expressions, and vice-versa
• Interpreting which operation to Use in Word Problems
• Solving Equations and Inequalities involving integers
• Combining Like Terms
• Write solutions of Equations in two variables as ordered pairs
• Graph Points and Lines on a Coordinate Plane
• Interpret information given in a graph or a table and to make a graph to solve problems
• Operations on Integers
• Apply Properties of exponents to evaluate expressions
• Use Pattern to evaluate negative exponents
• Scientific Notation
• Write Rational Numbers in Equivalent forms
• Add, Subtract, Multiply and Divide Rational Numbers
• Solving Equations and Inequalities with Rational Numbers
• Estimate Square Roots to a given number of decimal places, and solve problems involving square roots
• Determine if a number is rational or irrational
• Teacher generated quizzes/tests
• Chapter 1 Test
• Chapter 2Test
• Chapter 3 Test
•

Daily Assessment:

• Daily Do Now
• Individual Whiteboard Work
• Independent Worksheets
• Exit Tickets

- Pre-Algebra, Holt, Rinehart and Winston 2004

- Pre-Algebra Resource Worksheets

-Teacher generated worksheets

-Worksheets from Internet sites

-Worksheets from Supplemental Math Workbooks

- DeltaMath.com

- Desmos.com