# Math Curriculum Maps

## Math

 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Topic 4 – Meanings of MultiplicationTopic 5 – Multiplication Facts: Use PatternsTopic 6 – Multiplication Facts: Use Known Facts Lesson 4-1: Students will write multiplication problems using the “x” symbolLesson 4-2: Students will make and use arrays to find productsLesson 4-3: Students will write multiplication sentences for arraysLesson 4-4: Students will write math stories for given multiplication factsLesson 4-5: Students will solve multiplication word problemsLesson 5-3: Students with multiply with 0 and 1 as factorsLesson 5-1: Students will multiply with 2 and 5 as factorsLesson 5-5: Students will multiply with 10 as a factorLesson 5-2: Students will multiply with 9 as a factorLesson 6-2: Students will multiply with 3 as a factorLesson 6-3: Students will multiply with 4 as a factorLesson 6-4: Students will multiply with 6 and 7 as factorsLesson 6-5: Students will multiply with 8 as a factor Chapter 4 QuizMult Quiz on the 0’s, 1’s, and 2’sMult Quiz on the 10’sMult Quiz on the 2’s, 5’s, and 9’sMult Quiz on the 3’s and 4’sMult Quiz on the 6’sMult Quiz on the 7’s and 8’sMixed Mult Facts Quiz Math Textbook, Worksheets, and teacher made quizzes and testMath Textbook, Worksheets, and teacher made quizzes and testMath Textbook, Worksheets, and teacher made quizzes and test Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES Topic 9 – Understanding FractionsTopic 12 - TimeTopic 7 – Meanings of DivisionTopic 8 – Division Facts2-digit x 1-digit Multiplication Unit2-digit x 2-digit Multiplication UnitLong Division Unit Lesson 9-1: Students with identify regions that have been divided into equal sized partsLesson 9-2: Students will associate the model, symbol, and words used to describe a fractional part of a whole regionLesson 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 clocksLesson 12-3: Students will perform simple conversions for units of timeLesson 12-4: Students will find elapsed time in intervals of minutesLesson 7-1: Students will use models to solve division problemsLesson 7-2: Students will understand that division is also repeated subtractionLesson 7-3: Students will use multiplication tables to find answers to division problemsLesson 7-5: Students will write and solve number stories involving divisionLesson 8-1: Students will give a multiplication fact and state a related division factLesson 8-7: Students will give quotients for division facts with divisors of 0 and 1Lesson 8-2: Students will give quotients for division facts with divisors of 2, 3, 4, and 5Lesson 8-3: Students will give quotients for division facts with divisors of 6 and 7Lesson 8-4: Students will give quotients for division facts with divisors of 8 and 9Lesson 8-5: Students will use previously learned skills to solve multiple-step problemsLesson 8-6: Students will use multiplication and division facts to decide whether both sides of an equation is equalLesson 8-8: Students will use multiplication and division facts to solve problemsLesson 8-9: Students will solve division word problems by drawing a picture and writing a number sentenceStudents will be able to multiply a two digit number by a 1 digit numberStudents will be able to multiply a two digit number by a two digit numberStudents 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 WorksheetsTime Quiz on Lesson 12-2Weekly math quiz based on the math lessons that were taught the previous weekWeekly math quiz based on the math lessons that were taught the previous weekChapter 8 Test2 digits x 1 digit Multiplication Quiz2 digits x 2 digit Multiplication QuizWorksheets Math Textbook and WorksheetsMath Textbook, Worksheets, and teacher made quizMath Textbook, Worksheets, and teacher made quizzes and testMath Textbook, Worksheets, and teacher made quizzes and testWorksheets and teacher made quizWorksheets and teacher made quizTeacher 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 ReviewPlace 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 worksheetsLesson and practice sheetsTopic 1 testPerformance task 1Lesson and practice sheetsTopic 2 testPerformance Task 2 Revised Lesson sheets and practice sheets from enVisionRevised 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 sheetsTopic 3 testPerformance Task 3Lesson and practice sheetsTopic 4 testTopic 5 testPerformance Task 4Performance Task 5 Revised Lesson sheets and practice sheets from enVisionRevised 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 eventsChapter 11 – Integers, Graphs and FunctionProject: Research on the mathematical discoveries during the Renaissance Era

## Pre-Algebra

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

Extension: Other Number Systems: Binary and Octal, Convert between bases; Using absolute-values in adding and subtracting numbers

 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 1: Number Sense, Equations and Variables Ratios Proportional Relationships Percent Unit 2: Geometry and Measurement Plane Geometry Congruence, Similarity and Scale Find Equivalent Ratios to Create Proportions Solve Proportions Find Unit Rates Use Bar Graphs to determine Rates Analyze Units Use one or more conversion factors to solve rate problems Relate Decimals, Fractions and Percent Find the percent of one number is to another by using the Equation Method and the Proportion Method Find the base or the part of a percent problem Find percent increase or decrease Estimate with percent Find Commission, Sales Tax and Withholding tax Compute Simple Interest Name points, lines, planes, segments, rays Classify angles Find measures of vertical angles, supplement or complement of an angle Identify parallel and perpendicular lines Name special pairs of angles that are formed by parallel lines and transversals Apply properties of special pairs of angles to solve problems Use Algebra to find unknown measures of angles in triangles Classify and find angles in polygons Use a Venn-Diagram to Classify Quadrilaterals Identify Polygons in the Coordinate Plane Find the slope of a line Identify Parallel and Perpendicular lines in the Coordinate Plane Use Properties of Congruent Figures to solve problems Determine whether figures are similar Use Scale factors Find missing dimensions in similar figures Teacher generated quizzes/tests Chapter 5.1-5.5 Test Chapter 6.1-6.4Test Chapter 7 Test Chapter 8 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- Khan Academy- Desmos.com- Padlet.com Note: Sections in Geometry such as perimeters, areas and volumes are sporadically covered during this marking period to prepare students for the Geometry part of their Terra Nova Test. Extension: Prove the Angle Sum Theorem by using the Properties of Special Pairs of Angles; Derive the formula for finding the Sum of all Interior Angles of any Polygon; Prove the Pythagorean Theorem by using Geometry; Compound Interest; Constructions using a compass and straight-edge

 Trimester 3 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 2: Geometry and Measurement Perimeter and Area Surface Area and Volume Unit 3: Data Analysis Collecting, Displaying and Analyzing Data Probability Unit 4: Polynomials Polynomials More Equations and Inequalities Transform plane figures using Translations, Rotations and Reflections Identify Symmetry in Figures Predict and Verify Patterns in Tessellations Find Perimeter and Area of Rectangles, Parallelograms, Triangles, Trapezoids and Circles Use the Pythagorean Theorem and its Converse to Solve Problems Find Volumes and Surface Areas of Prisms, Cylinders, Pyramids, Cones and Spheres Recognize biased samples and identify Sampling Methods Organize Data in Tables Scatter Plots Find the Probability of an Event by using the definition of probability Estimate Probability by using Experimental Methods Estimate Probability by using Theoretical Methods Find the Number or Possible Outcomes in an Experiment Fundamental Counting Principle Tree Diagrams Find Permutations and Combinations Find Probabilities of Independent and Dependent Events Convert between Probabilities and Odds Solve two-step and multi-step equations and inequalities Solve equations and inequalities with variables on both sides Literal Equations Solve Systems of Equations by using substitution Classify Polynomials by degree and by number of terms Simplifying Polynomials Adding, Subtracting and Multiplying Polynomials Teacher generated quizzes/tests Chapter 4.1, 4.5-4.7 Test Chapter 5.6-5.9 Test Chapter 6.6-6.10 Test Chapter 9 Test Chapter 10 Test Chapter 13 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- Khan Academy- Desmos.com- Padlet.com Note: Sections in Probability are sporadically covered during mp2 to prepare students for the Terra Nova Test.Extension: Use Trigonometric Ratios to find Sides of Missing Angles of Right Triangles (SOH CAH TOA)Chapter 11 – Graphing Lines and Inequalities in two variables, Linear RelationshipsProject: Research on the history of zero.

## Algebra I

 Trimester 1 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 1: Equations in One VariableExpressions, Equations and FunctionsProperties of Real NumbersSolving Linear EquationsSolving Linear Inequalities Evaluate algebraic expressions and use exponentsUse order of operations to evaluate expressionsTranslate verbal phrases into algebraic expressionsTranslate verbal sentences into equations or inequalitiesRepresent function as rules, as tables and graphsCompare and graph positive and negative numbersAdd, Subtract, Multiply and Divide Real NumbersFinding the range of values of a square rootCompare real numbersSolving one-step, two-step and multi-step equations and inequalitiesSolving equations and inequalities with variables on both sidesWrite ratios and proportionsSolving proportions by using cross-productsSolve percent problemsRewrite equations and formulas (literal equations) Teacher generated quizzes/testsChapter 1 TestChapter 2TestChapter 3 TestChapter 6.1-6.3 TestDaily Assessment:Daily Do NowIndividual Whiteboard WorkIndependent WorksheetsExit Tickets - Algebra 1, McDougal Littell, 2008- Algebra 1 Resource Worksheets-Teacher generated worksheets-Worksheets from Internet sites-Worksheets from Supplemental Math Workbooks- DeltaMath.com- Khan Academy- Desmos.com- Padlet.com Note: Ratios, Proportions and Percent are covered in Pre-Algebra in significant detail.Extension: Relation, Apply Sets to Numbers and Functions, Writing Conditional Statements; Apply Proportions to Similar figures, Find percent change
 Trimester 2 TOPIC OBJECTIVES ASSESSMENT RESOURCES Unit 2: Equations in Two VariablesGraphing Linear Equations and FunctionsWriting Linear EquationsSolving and Graphing Linear Inequalities Identify and plot points on the coordinate planeFinding rates of change, slopes from a graph, and from points on the lineGraph linear equations in a coordinate plane by using a table of values, by using the x and y intercepts, by using the slope and the y-interceptModel direct variationUse the function notation, graph linear functionsIdentify linear transformations such as vertical translation and rotation (dilation by a scale factor)Write linear equations given the slope and y-interceptWrite equations of lines by using points on the lineWrite linear equations in point-slope form, standard formWrite equations of parallel and perpendicular lines,Scatter Plots and CorrelationSolve compound inequalitiesSolve multi-step inequalitiesSolve absolute-value equations and inequalitiesGraph Linear Inequalities in two variables Teacher generated quizzes/testsChapter 4 TestChapter 5 TestChapter 6.4-6.7TestDaily Assessment:Daily Do NowIndividual Whiteboard WorkIndependent WorksheetsExit Tickets - Algebra 1, McDougal Littell, 2008- Teacher generated worksheets-Worksheets from Internet sites-Worksheets from Supplemental Math Workbooks- DeltaMath.com- Khan Academy- Desmos.com- Padlet.com Extension: Perform and describe transformation in a coordinate plane, Identify discrete and continuous functions, Relate Arithmetic Sequences to linear functions, Use a Venn-Diagram to find to identify the difference of and and or statements, Graph Absolute-Value Functions,