Math

RFS's Math problem-based cirriclum is aligned to Florida's State Academic Standards and designed to address content and practice standards and prepares students to solve problems, reason, communicate, and think critically in the classroom and beyond.

BY SUBJECT:

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Grade 1

Chapters

A) Numbers up to 20

1) Count, Read, and Write Numbers up to 20
2) Compare Numbers up to 20
3) Add Numbers up to 20
4) Subtract Numbers up to 20
5) Add and Subtract up to 20 Using Mental Strategies

B) Numbers up to 120

1) Count, Read, and Write Numbers up to 120
2) Identify Place Value and Write Numbers up to 100 in Expanded Form
3) Compare and Order Numbers up to 100
4) Skip Count Numbers up to 20 by 2s and 5s

C) Addition and Subtraction

1) Add and Subtract Numbers up to 20 on a Number Line
2) Add Numbers up to 100
3) Subtract Numbers up to 100
4) Solve Real-World Problems on Addition and Subtraction

D) Measurement of Length

1) Compare and Order Length
2) Measure Length Using Uniform Non-standard Units

E) Time

1) Read and Tell Time up to an Hour
2) Read and Tell Time up to Half an Hour

F) Money

1) Identify Coins and Their Values and Use the Cent Symbol

G) Shapes and Patterns

1) Identify Straight Lines and Curved Lines and Shapes Made of the Same
2) Identify 2D Shapes and Their Properties
3) Partition a Shape into Halves and Quarters
4) Identify 3D Shapes and Their Properties
5) Identify Patterns in Objects and Shapes

H) Data Handling

1) Organize, Represent, and Interpret Data Using Tables and Picture Graphs

Core Elementary School Middle School

Grade 2

Chapters

A) Number System

1) Read and Write Numbers up to 1,000

2) Understand the Place Values in 3-Digit Numbers and Express Them in Expanded Forms

3) Compare and Order 3-Digit Numbers

4) Skip Count 3-Digit Numbers by 5s, 10s, and 100s

B) Addition and Subtraction

1) Add and Subtract Numbers up to 100 Using Mental Strategies and Properties of Operations

2) Add Numbers up to 1,000

3) Subtract Numbers up to 1,000

4) Solve Real-World Problems on Addition and Subtraction

C) Introduction to Multiplication

1) Understand Odd and Even Numbers up to 20

2) Multiply a Single-Digit Number by Single-Digit Numbers

D) Measurement

1) Estimate and Measure Length Using Centimeters and Meters

2) Estimate and Measure Length Using Inches, Feet, and Yard

3) Compare Lengths of Objects

4) Solve Word Problems on Addition and Subtraction of Length

E) Time

1) Tell and Write Time from Analog and Digital Clocks to the Nearest 5 Minutes

2) Solve Applied Problems on Time

F) Money

1) Count Money

2) Compare and Order Money

3) Decompose and Form Amounts

4) Add and Subtract Amounts

G) Shapes

1) Identify Polygons Based on Their Properties

2) Partition Shapes into Halves, Quarters, and Thirds

H) Data Handling

1) Interpret Data

2) Represent Data

Core Elementary School Middle School

Grade 3

Chapters

1) Number System

A) Read and Write Numbers up to 10,000
B) Identify Place Values in 4-Digit Numbers and Express Numbers in Expanded Form
C) Compare and Order 4-Digit Numbers
D) Round Off Numbers up to 4-Digit to the Nearest 10 and 100

2) Addition and Subtraction

A) Add and Subtract 4-Digit Numbers
B) Consolidate Understanding of Properties of Addition and Subtraction and Solve Problems Using Mental Strategies
C) Estimate Sum and Difference up to 4-Digit Numbers
D) Solve Word Problems on Addition and Subtraction

3) Multiplication and Division

A) Solve 4-Digit Multiplication Problems and Know the Multiplication Facts
B) Solve Word Problems on Standard Multiplication of 4-Digit Numbers
C) Understand Division and Division Facts
D) Solve Standard Division Problems of 4-Digit Numbers and Understand Remainder
E) Understand Properties of Multiplication and Mentally Multiply 4-Digit Numbers
F) Devise Strategies and Ideas for Multiplication of 4-Digit Numbers
G) Mentally Divide 4-Digit Numbers and Observe Patterns in Multiplication

4) An Introduction to Fractions

A) Visualize Fractions of a Unit and Write and Interpret Their Numeric and Word Forms
B) Visualize Fractions, and Compare and Order Them
C) Write One Shape as a Fraction of the Other
D) Write Fractions of a Collection (Visual and Abstract) and Solve Problems

5) Time

A) Read Time Shown on the Clock and Write It
B) Understand the Terms Half Past, Quarter Past, and Quarter to
C) Convert Hours, Minutes, and Seconds
D) Calculate Elapsed Time and Understand the Calendar

6) Lines and Polygons
A) Understand Points, Lines, Line Segments, and Rays
B) Understand Congruent Line Segments
C) Understand and Identify Polygons and Circles
D) Understand 3D Shapes and Their Properties

7) Measurement

A) Multiply and Divide Length
B) Understand the Concept of Perimeter and Area
C) Understand “Milligram”
D) Convert Units, Compare Weights, and Perform Operations
E) Understand, Convert Units of Capacity, and Perform Operations

8) Money

A) Count and Compare Amounts
B) Decompose and Form Denominations
C) Add, Subtract, and Multiply Money

9) Data Handling

A) Represent and Interpret Scaled Picture Graphs and Bar Graphs
B) Plot a Line Plot by Generating Measurement Data in Halves and Quarters

Core Elementary School Middle School

Grade 4

Chapters

A) Number System

1) Understand Place Value of Numbers up to 6 Digits

2) Compare and Order Numbers up to 6 Digits

3) Round Off Multi-Digit Numbers to Any Place

B) Addition and Subtraction

1) Add and Subtract Multi-Digit Numbers

2) Estimate Sum and Difference of Multi-Digit Numbers

3) Solve Word Problems on Addition and Subtraction

C) Multiplication and Division

1) Multiply Numbers up to 7 Digits

2) Divide Numbers up to 7 Digits

3) Understand Properties and Perform Mental Arithmetic Operations (7-Digit Numbers)

4) Identify the Operators and Understand MDAS (7-Digit Numbers)

5) Understand and Apply Estimation (7-Digit Numbers)

6) Identify Patterns in Arithmetic Operations (7-Digit Numbers)

D) Factors and Multiples

1) Understand Factors and Multiples and Identify Prime and Composite Numbers

2) Interpret Rules of Divisibility of 2, 3, 4, 5, 6, 8, 9, and 10

E) Fractions and Their Types

1) Find Fractions of a Whole

2) Understand Like Fractions and Add and Subtract Them

3) Understand and Write Equivalent Fractions

4) Understand Lowest Form of a Fraction

5) Identify Improper and Mixed Fractions

6) Convert Fractions and Represent Fractions on the Number Line

7) Add and Subtract Mixed Fractions

F) Introduction to Decimal Numbers

1) Understand Decimal Numbers, Their Expanded Form, and Conversion to Fractions

2) Work with Numbers up to 3 Decimal Places and Write Decimals in Words

3) Convert Proper and Improper Fractions to Decimals

4) Understand the Significance of Zeros at the End of Decimal Numbers, Convert Units, and Solve Word Problems

G) Time

1) RECAP: Read Time Shown on the Clock

2) Read Time Past an Hour, to an Hour, and to the Exact Minute, and Understand the 24-Hour Format

3) Convert between Hours, Minutes, and Seconds

4) Perform Operations on Time

5) Convert between Weeks and Days and Understand Terms Like Leap Year, a Decade, and a Century

H) Geometry (V3)

1) Understand Angles and Their Classification

2) Measure, Estimate, and Construct Angles

3) Understand Polygons and Their Types

4) Understand Circles and Solid Shapes

I) Measurement (V3)

1) Convert Units of Length and Solve Numerical and Word Problems on Length

2) Convert Units of Weight and Solve Numerical and Word Problems on Weight

3) Convert Units of Capacity and Solve Word Problems on Capacity

4) Work on Perimeter of Rectangles and Squares

5) Work on Area of Rectangles and Squares

6) Apply the Concept of Area and Perimeter to Problems

J) Money

1) Count and Compare Dollars

2) Decompose and Form Dollars

3) Perform All 4 Operations with Amounts

K) Data Handling

1) Represent and Interpret Data Using Line Plots and Stem and Leaf Plots

2) Understand Measures of Central Tendencies

Core Elementary School Middle School

Grade 5

Chapters

A) Numbers and Exponents

1) Consolidate Understanding of Place Value System
2) Write Whole Numbers Using Exponents

B) Number Operations and Order of Operations

1) Multiply Multi-Digit Whole Numbers
2) Divide 4-Digit Numbers by 2-Digit Numbers
3) Simplify Using Order of Operations

C) Addition and Subtraction of Fractions

1) Add and Subtract Fractions with Different Denominators
2) Solve Word Problems on Addition and Subtraction of Fractions
3) Estimate Sum and Difference of Fractions Using Benchmarks

D) Fractions and Their Multiplication and Division

1) Multiply Proper and Improper Fractions by Whole Numbers
2) Multiply Fractions by Fractions and Solve Problems
3) Divide Proper/Improper and Mixed Fractions by Whole Numbers
4) Divide Whole Numbers and Fractions by Fractions

E) An Introduction to Decimals

1) Understand Expanded Forms and Place Values in Decimals, and Their Relationship with Fractions
2) Understand the Significance of Zeros After a Decimal Point and Decimals on a Number Line
3) Recognize Types of Decimals and Compare and Order Them
4) Add and Subtract Like and Unlike Decimals (With/ Without Regrouping)
5) Solve Problems on Addition and Subtraction of Decimals

F) Multiplication and Division of Decimals

1) Multiply Decimal Numbers by Powers of 10 and Decimals
2) Multiply Decimal Numbers by Whole Numbers
3) Multiply Decimal Numbers by Decimal Numbers
4) Divide Decimal Numbers by Powers of Ten andby Whole Numbers
5) Solve Word Problems and Use Long Division Method for Decimals
6) Divide Decimal Numbers by Decimal Numbers

G) Applied Math

1) Understand Percentages and Their Relationship with Fractions
2) Compare Percentages and Solve Problems on Percentages
3) Apply Multiplication and Division to Find Unit Value
4) Understand and Apply Unitary Method

H) Mensuration

1) Convert Various Units and Solve Word Problems on Them
2) Work on Perimeter of Squares and Rectangles
3) Work on Area of Squares and Rectangles
4) Understand the Concept of Volume

I) Geometry

1) Classify Triangles Based on Their Properties
2) Classify Quadrilaterals Based on Their Properties

J) Coordinate Geometry

1) Understand the Components of Cartesian Coordinate Plane
2) Plot and Interpret Line Graphs and Analyze Numeric Patterns

K) Statistics

1) Make and Interpret Line Plots to Solve Problems
2) Represent and Interpret Categorical Data and Numeric Data

Core Elementary School Middle School

Grade 6

Chapters

A) Number Operations

1) Apply Standard Algorithm to Multi-Digit Division

2) Understand the Meaning of Exponents

3) Apply Order of Operations to Simplify Expressions Involving Exponents

B) Integers

1) Understand Negative Numbers and Integers

2) Represent Integers on the Number Line, and Compare and Order Them

3) Find Absolute Value of Integers

4) Add Integers

5) Subtract Integers and Solve Expressions with Integers Using Addition and Subtraction

6) Multiply Integers and Understand the Properties

7) Divide Integers and Understand the Properties

C) Fractions and Decimals-Consolidation

1) Work With Types of Fractions, Equivalent Fractions, and Addition and Subtraction of Fractions

2) Multiply Fractions by Whole Numbers and Fractions

3) Divide Fractions by Whole Numbers and Fractions, and Solve Mixed Problems

4) Convert a Decimal into a Fraction and Vice Versa, and Compare and Order Decimals

5) Perform All 4 Operations on Decimals

D) Fraction Operations

1) Divide Fraction by a Fraction

2) Solve Word Problems on Mixed Operations on Fractions

E) Applied Math

1) Understand Ratios, Equivalent Ratios, and Their Simplest Form

2) Understand Proportion

3) Compare Ratios and Divide Quantities in Ratios

4) Understand Unitary Method and Solve Problems on Speed, Distance, Time, and Unit Conversions

5) RECAP: Percentages

6) Understand Ratios as Percentages, Percentage Change, and Successive Changes

7) Understand the Concept of Profit and Loss

F) An Introduction to Algebra (V2)

1) Decode and Predict Patterns and Understand Variables

2) Convert Statements to Variables and Substitute Values of Variables

3) Understand Variables, Constants, and Terms, and Perform Operations on Variables

4) Identify Like and Unlike Terms, and Simplify and Classify Expressions

5) Evaluate Algebraic Expressions

6) Visually Represent Equations and Inequations

7) Understand and Solve One Variable Linear Equations

8) Solve Using Balancing Method and Transposition Method

9) Solve Word Problems on One Variable Linear Equations

G) Algebraic Operations and Linear Equations

1) Simplify Expressions Using PEDMAS

2) Add and Subtract Expressions, and Find GCF of Expressions

3) Multiply and Divide Monomials and Binomials

H) Geometry

1) Add and Subtract Angles, and Understand Complementary and Supplementary Angles

2) Work with Intersecting Lines, Parallel Lines, Transversals, and Pairs of Angles

3) Classify Triangles by Angles and Find the Relationship between the Sides of a Triangle

4) Understand and Apply Angle Sum Property and Exterior Angle Property of a Triangle

5) Understand Quadrilaterals and Their Angle Sum Property and Recap Circles

6) Learn about Polyhedrons, Pyramids, and Prisms

7) Understand and Apply Lines of Symmetry and Mirror Images

8) Construct Line Segments, Perpendicular Bisectors, and Perpendicular to a Line Segment

9) Construct an Angle Equal to Another Angle, Parallel Lines and an Angle Bisector, and Specific Angles

10) Construct Chords and Sectors of a Circle

I) Mensuration

1) Work on Perimeter and Area of Squares and Rectangles

2) Understand the Concept of Surface Area and Volume of Cubes and Cuboids

3) Work with Volume of Cubes and Cuboids and Unit Conversions (Surface Area and Volume)

J) Data Handling

1) Understand the Concept of Average

2) Interpret and Create Bar Graphs

3) Interpret Line Graphs

4) Interpret and Create Pie Charts

Core Elementary School Middle School

Grade 7

Chapters

A) Integers

1) Recap of Integers

2) Addition and Subtraction of Integers

3) Properties of Addition and Subtraction of Integers

4) Multiplication and Division of Integers

5) Properties of Multiplication and Division of Integers

6) Mixed Operations with Integers

B) Rational Numbers

1) Addition and Subtraction of Rational Numbers

2) Multiplication and Division of Rational Numbers

3) Properties of Addition and Subtraction of Rational Numbers

4) Properties of Multiplication and Division of Rational Numbers

5) Conversion between Fractions and Decimals

C) Algebraic Expressions

1) Parts of an Algebraic Expression

2) Value of an Algebraic Expression

3) Addition and Subtraction of Algebraic Expressions

4) Multiplication of a Monomial by a Polynomial

5) Factorization of Expressions

D) Equations

1) Basics of Equations

2) Solving Simple Equations

E) Inequalities

1) Basics of Inequalities

2) Solving Simple Linear Inequalities in One Variable

3) Modeling Real-Life Situations Using Linear Inequalities in One Variable

F) Ratio and Proportional Relationships

1) Rates and Units

2) Proportional Relationships in a Given Context

3) Graphs of Proportional Relationships

4) Scale Drawings

G) Percentages

1) Basics of Percentages

2) Inter-Conversion Among Percentages and Other Forms

3) Percentage Change

4) Simple Interest

5) Discount and Tax

H) Angles

1) Complementary and Supplementary Angles

2) Relationships Among Different Types of Angles

I) Perimeter and Area

1) Circumference of a Circle

2) Area of a Circle

3) Area and Perimeter of Composite Shapes

J) Constructions

1) Construction of Triangles

2) Construction of Quadrilaterals

K) Surface Area and Volume

1) Cross Sections of Solids

2) Surface Area of Right Prisms

3) Volume of Right Prisms

L) Probability

1) Basics of Probability

2) Experimental Probability

3) Theoretical Probability of Simple Events

4) Theoretical Probability of Compound Events

M) Statistics

1) Drawing Conclusions from Random Samples

2) Describing Populations

3) Comparing Populations Using Random Sampling

Core Elementary School Middle School

Grade 8

Chapters

A) Exponents

1) The Exponential Form
2) The Product and Power Laws
3) The Quotient Law
4) Powers of Products and Fractions
5) Negative Powers

B) Scientific Notation

1) Express Large Numbers in the Scientific Form
2) Express Very Small Numbers in the Scientific Form
3) Operations on Numbers in the Scientific Form

C) Square Roots and Cube Roots

1) Square Roots of Perfect Squares
2) Estimating Square Roots
3) Expressions and Equations Involving Square Roots
4) Cube Roots
5) Expressions and Equations Involving Cube Roots

D) The Pythagoras Theorem

1) The Pythagoras Theorem
2) Word Problems Involving the Pythagoras Theorem
3) The Distance Formula

E) Real Numbers

1) Decimal Expansion and Classification of Rational Numbers
2) Conversion of Recurring Decimals to Fractions
3) Irrational Numbers and Their Representation

F) Linear Equations in One Variable

1) Solving Simple Linear Equations in One Variable
2) Solving Equations by Reducing them to Linear Form
3) Word Problems on Linear Equations in One Variable

G) Lines, Angles, and Triangles

1) Parallel Lines and Transversals
2) The Angle Sum Property and Exterior Angle Property of Triangles

H) Rigid Transformations and Congruence

1) Translation of Two-Dimensional Figures
2) Reflection of Two-Dimensional Figures
3) Rotation of Two-Dimensional Figures
4) Congruence Using Rigid Transformations

I) Dilations and Similarity

1) Dilation of Two-Dimensional Figures
2) Basics of Similarity

J) Graphs of Linear Relationships

1) Comparison of Proportional Relationships
2) Graphing Linear Relationships
3) The Slope of a Straight Line
4) Equations of Straight Lines

K) Simultaneous Linear Equations

1) Solving a Pair of Linear Equations Graphically
2) Types of Pairs of Linear Equations
3) Solving a Pair of Linear Equations Algebraically
4) Word Problems Involving Pairs of Linear Equations

L) Functions

1) Basics of Functions and Their Representation
2) Graphing Functions
3) The Rate of Change of a Function
4) Modeling Real-Life Situations Using Linear Functions
5) Analyzing Graphs of Functions

M) Volume

1) The Volume of a Cylinder
2) The Volume of a Cone
3) The Volumes of a Sphere and a Hemisphere

N) Statistics

1) Scatter Plots
2) Lines of Fit
3) Two-Way Tables
4) Representing Data in an Appropriate Form

Core Elementary School Middle School

Regarde Familia

Math

BY SUBJECT:

Grade 1

Chapters

Grade 2

Chapters

Grade 3

Chapters

Grade 4

Chapters

Grade 5

Chapters

Grade 6

Chapters

Grade 7

Chapters

Grade 8

Chapters

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