Math Curriculum Maps

Math

Grade 3


Trimester 1

TOPIC

OBJECTIVES

ASSESSMENT

RESOURCES

Topic 1 – Numeration

Topic 2 – Number Sense: Addition and Subtraction

Topic 3

Using Place Value to Add and Subtract

  • Lesson 1-1: Students will read and write 3-digit and 4-digit numbers
  • Lesson 1-2: Students will name numbers in different ways
  • Lesson 1-3: students will read and write numbers in ten and hundred thousands
  • Lesson 1-4: students locate and compare whole numbers on a number line
  • Lesson 1-5: Students identify the pattern on a number line or graph scale, and calculate missing labels
  • Lesson 1-6: students will compare 3-digit and 4-digit whole numbers
  • Lesson 1-7: students will order 3-digit and 4-digit whole numbers
  • Lesson 2-1: Students learn the meanings of addition
  • Lesson 2-2: Students recognize the relationship between addition and subtraction problems (fact families)
  • Lesson 2-5: Students will round two-digit and three-digit numbers to the nearest ten or hundred
  • Lesson 2-6: Students will solve problems by estimating sums
  • Lesson 2-7: Students will solve problems by estimation differences
  • Lesson 2-8: Students will decide whether both sides of an equation are equal and determine the unknown number
  • Lesson 2-9: Students will solve addition and subtraction word problems
  • Lessons 3-1 – 3-4: Students will solve 3-digit addition problems
  • Lessons 3-6 – 3-10: Students will solve 3-digit subtraction problems

Weekly math quiz based on the math lessons that were taught the previous week

Chapter 1 Test

Weekly math quiz based on the math lessons that were taught the previous week

Chapter 2 Test on Lessons 2-1, 2-2, 2-5, 2-6, 2-7, 2-8, and 2-9

Weekly math quiz based on the math lessons that were taught the previous week

Chapter 3 Test

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 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

Grade 4

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

    Grade 5

    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 3

    TOPIC

    OBJECTIVES

    ASSESSMENT

    RESOURCES

    Adding and subtracting fractions

    (Topic 9)

    Real Life situation – Banking project

    Adding and subtracting mixed numbers

    (Topic 10)

    Multiplying fractions and mixed numbers

    (Topic 11)

    • make equivalent fractions
    • use divisibility rules for 2, 3, 5, 6, 9, 10
    • reduce fractions to lowest terms
    • estimate fractions from pictures and a number line
    • define multiples
    • find LCM of given numbers
    • find a common denominator
    • add and subtract fractions with like and unlike denominators
    • find GCF
    • solve multistep problems with fractions
    • solve word problems with fractions
    • understand bank account
    • maintain checking account
    • add and subtract money
    • maintain a spreadsheet
    • display data in circle and line graphs
    • convert mixed numbers to improper fractions and back
    • add and subtract mixed numbers with regrouping
    • add and subtract mixed numbers mixed numbers with unlike denominators
    • solve multistep problems with mixed numbers and unlike denominators
    • solve word problems with mixed numbers
    • Interpret a fraction as division
    • Multiply fractions
    • Multiply fractions and whole numbers
    • Multiply mixed numbers
    • Estimate with mixed numbers
    • Solve multi-step problems with fractions and mixed numbers
    • Calculate area

    Lesson and practice sheets

    Topic 9 test

    Performance Task 9

    Completed register sheet

    Completed spreadsheet

    Lesson and practice sheets

    Topic 10 test

    Performance Task 10

    Lesson and practice sheets

    Topic 11 test

    Performance Task 11

    Revised Lesson sheets and practice sheets from enVision

    School made checks and debt cards

    Debit slips, cooperation of cafeteria and bookfair

    Use of computer lab

    Revised Lesson sheets and practice sheets from enVision

    Revised Lesson sheets and practice sheets from enVision

    Grade 6

    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

    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

    - Khan Academy

    - Desmos.com

    - Padlet.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 Relationships

    Project: Research on the history of zero.

    Algebra I

    Trimester 1

    TOPIC

    OBJECTIVES

    ASSESSMENT

    RESOURCES

    • Unit 1: Equations in One Variable
    • Expressions, Equations and Functions
    • Properties of Real Numbers
    • Solving Linear Equations
    • Solving Linear Inequalities
    • Evaluate algebraic expressions and use exponents
    • Use order of operations to evaluate expressions
    • Translate verbal phrases into algebraic expressions
    • Translate verbal sentences into equations or inequalities
    • Represent function as rules, as tables and graphs
    • Compare and graph positive and negative numbers
    • Add, Subtract, Multiply and Divide Real Numbers
    • Finding the range of values of a square root
    • Compare real numbers
    • Solving one-step, two-step and multi-step equations and inequalities
    • Solving equations and inequalities with variables on both sides
    • Write ratios and proportions
    • Solving proportions by using cross-products
    • Solve percent problems
    • Rewrite equations and formulas (literal equations)
  • Teacher generated quizzes/tests
  • Chapter 1 Test
  • Chapter 2Test
  • Chapter 3 Test
  • Chapter 6.1-6.3 Test
  • Daily Assessment:

    • Daily Do Now
    • Individual Whiteboard Work
    • Independent Worksheets
    • Exit 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 Variables
    • Graphing Linear Equations and Functions
    • Writing Linear Equations
    • Solving and Graphing Linear Inequalities
  • Identify and plot points on the coordinate plane
  • Finding rates of change, slopes from a graph, and from points on the line
  • Graph 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-intercept
  • Model direct variation
  • Use the function notation, graph linear functions
  • Identify linear transformations such as vertical translation and rotation (dilation by a scale factor)
  • Write linear equations given the slope and y-intercept
  • Write equations of lines by using points on the line
  • Write linear equations in point-slope form, standard form
  • Write equations of parallel and perpendicular lines,
  • Scatter Plots and Correlation
  • Solve compound inequalities
  • Solve multi-step inequalities
  • Solve absolute-value equations and inequalities
  • Graph Linear Inequalities in two variables
  • Teacher generated quizzes/tests
  • Chapter 4 Test
  • Chapter 5 Test
  • Chapter 6.4-6.7Test
  • Daily Assessment:

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

    Trimester 3

    TOPIC

    OBJECTIVES

    ASSESSMENT

    RESOURCES

    Unit 2: Equations in Two Variables

    • Systems of Equations and Inequalities
    • Unit 3: Exponential and Quadratic Functions
    • Exponents and Exponential Functions
    • Polynomials and Factoring
    • Quadratic Equations and Functions
    • Unit 4: Radical and Rational Functions
    • Radicals and Geometry Connection
    • Probability and Data Analysis
  • Solve linear systems by graphing, by using substitution method, and by elimination method (by adding and subtracting, multiplying and dividing first)
  • Identify the number of solutions of a linear system
  • Solve systems of linear equations in two variables
  • Apply exponent properties involving products, quotients
  • Define and use zero and negative exponents
  • Use scientific notation
  • Write and graph exponential growth functions
  • Write and graph exponential decay functions
  • Add, subtract and multiply polynomials
  • Use special product patterns to multiply polynomials
  • Solve polynomial equations in factored form
  • Factor trinomials of the form
  • ax2 +bx + c where a=1 and a≠1
  • Factor special products – difference of two squares, perfect square trinomials
  • Factor polynomials completely
  • Graph simple quadratic equations
  • Identify and perform transformations of quadratic parent functions
  • Graph general quadratic functions
  • y = ax2 +bx + c
  • Solve quadratic equations by finding square roots, by completing the square
  • Simplify numerical and radical expressions with variables
  • Solve radical equations
  • Apply the Pythagorean Theorem and its Converse
  • Teacher generated quizzes/tests
  • Chapter 7 Test
  • Chapter 8 Test
  • Chapter 9 Test
  • Chapter 10.1, 10.2, 10.4, 10.5, 10.6 Test
  • Chapter 11.2, 11.3, 11.4, 11.5 Test
  • Daily Assessment:

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

    Note: Properties of Exponents and Adding, Subtracting and Multiplying polynomials, Scientific Notation are covered in Pre-Algebra with significant detail.

    Extension: Application of systems of equation (finance, wind and water currents), Define and use fractional exponents, Relate Geometric Sequences to Exponential Functions, Use the Vertical motion model, Graph quadratic functions in intercept form, Derive the Quadratic Formula, Apply Distance and Midpoint Formulas, Introduce Complex Numbers, Trigonometric functions (sine, cosine, tangent)

    Project: Research on the Origins of Algebra

    Grade 2

    Trimester 1

    TOPIC

    OBJECTIVES

    ASSESSMENT

    RESOURCES

    • 1-Understanding Addition and Subtraction

    • 2-Addition Strategies

    • 3-Subtraction Strategies

    • 4-Working with Equal Groups

    • 5-Place Value to 100

    Use addition and subtraction within 100 to solve one- and two-step word problems.

    Fluently add and subtract within 20 using mental strategies. Add within 100 using place value and the commutative property. They will learn the relationship between addition and subtraction. Add up to 4-two digit numbers.

    Same as above; including- adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions.

    Same as above; including-use addition to find the total number of objects arranged in arrays with up to 5 rows and 5 columns. Write an expression to show the total as a sum of equal addends (5+5+5+5).

    Understand that the digits of a three digit number show amounts of 100s, 10s and 1s. Count within 1,000 and skip count by 5, 10, 100. Read and write numbers to 1,000 using base ten, number names and expanded form. Compare two 3-digit numbers (number comparison). Mentally add 10 or 100 to a given number. Determine if a group of numbers has an even or odd number.

    Informal assessments.

    Formal assessments.

    (ongoing)

    Counters, cubes, part-whole models, fact sheets.

    Same as above.

    Same as above.

    Same as above.

    Cubes, hundred chart.

    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.

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