Eureka Math虏
Level K
Module 1: Counting and Cardinality
Topic A: Classify to Make Categories and Count
| Lesson 1: Compare objects based on their attributes. | |
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| Lesson 3: Classify objects into two categories and count. |
Topic B: Answer How Many Questions with Up to 5 Objects
| Lesson 3: Sort by Same Color |
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Topic C: Write Numerals and Create Sets of Up to 5 Objects
| Lesson 10: Count out a group of objects to match a numeral. |
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Topic E: Answer How Many Questions with Up to 10 Objects
| Lesson 19: Organize, count, and represent a collection of objects. | |
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| Lesson 20: Count objects in 5-group and array configurations and match to a numeral. | |
| Lesson 23: Conserve number regardless of the order in which objects are counted. |
Module 2: Two- and Three- Dimensional Shapes
Topic A: Analyze and Name Two-Dimensional Shapes
| Lesson 1: Find and describe attributes of flat shapes. | |
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| Lesson 2: Classify shapes as triangles or nontriangles. | |
| Lesson 3: Classify shapes as circles, hexagons, or neither. | |
| Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case. |
Module 3: Comparison
Topic C: Compare Sets Within 10
| Lesson 12: Relate more and fewer to length. | |
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| Lesson 13: Compare sets by using more than, fewer than, and the same number as. |
Module 4: Composition and Decomposition
Topic A: Explore Composition and Decomposition
| Lesson 1: Compose flat shapes and count the parts. | |
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| Lesson 2: Decompose flat shapes and count the parts. | |
| Lesson 3: Decompose a group to identify parts and total. |
Topic B: Record Composition and Decomposition
| Lesson 5: Sort to decompose a number in more than one way. | |
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| Lesson 6: Decompose a number in more than one way and record. |
Module 5: Addition and Subtraction
Topic A: Represent Addition
| Lesson 1: Represent add to with result unknown story problems by using drawings and numbers. |
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Topic B: Represent Subtraction
| Lesson 8: Understand taking away as a type of subtraction. |
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Topic C: Make Sense of Problems
| Lesson 15: Identify the action in a problem to represent and solve it. |
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Level 1
Module 1: Counting, Comparison, and Addition
Topic A: Count and Compare with Data
| Lesson 2: Organize and represent data to compare two categories. |
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Module 2: Addition and Subtraction Relationships
Topic A: Reason About Take From Situations
| Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences. | |
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| Lesson 3: Subtract 1 or subtract 1 less than the total. |
Topic B: Relate and Distinguish Addition and Subtraction
| Lesson 5: Use the Read鈥揇raw鈥揥rite process to solve result unknown problems. | |
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| Lesson 6: Represent and solve related addition and subtraction result unknown problems. | |
| Lesson 7: Count on or count back to solve related addition and subtraction problems. |
Topic C: Find an Unknown Part in Change Unknown Problems
| Lesson 8: Interpret and find an unknown change. | |
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| Lesson 11: Represent and solve take from with change unknown problems. |
Module 3: Properties of Operations to Make Easier Problems
Topic B: Make Easier Problems to Add
| Lesson 9: Make ten with either addend. |
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Topic D: Reason about Ten as a Unit to Add or Subtract
| Lesson 16: Identify ten as a unit. |
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Module 5: Place Value Concepts to Compare, Add, and Subtract
Topic A: Grouping Units in Tens and Ones
| Lesson 2: Count a collection and record the total in units of tens and ones. | |
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| Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten. | |
| Lesson 6: Add 10 or take 10 from a two-digit number. |
Topic D: Addition and Subtraction of Tens
| Lesson 15: Count on and back by tens to add and subtract. | |
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| Lesson 16: Use related single-digit facts to add and subtract multiples of ten. |
Level 2
Module 1: Place Value Concepts Through Metric Measurement and Data 路 Place Value, Counting, and Comparing Within 1,000
Topic A: Representing Data to Solve Problems
| Lesson 3: Use information presented in a bar graph to solve put together and take apart problems. | |
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| Lesson 4: Use information presented in a bar graph to solve compare problems. |
Topic C: Estimate, Measure, and Compare Lengths
| Lesson 12: Model and reason about the difference in length. |
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Topic D: Solve Compare Problems by Using the Ruler as a Number Line
| Lesson 15: Use a measuring tape as a number line to add efficiently. | |
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| Lesson 17: Represent and solve comparison problems by using measurement contexts. |
Module 2: Addition and Subtraction Within 200
Topic A: Simplifying Strategies for Addition
| Lesson 1: Reason about addition with four addends. |
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Module 5: Money, Data, and Customary Measurement
Topic A: Problem Solving with Coins and Bills
| Lesson 1: Organize, count, and represent a collection of coins. | |
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| Lesson 2: Use the fewest number of coins to make a given value. | |
| Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar. | |
| Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins. |
Topic B: Use Customary Units to Measure and Estimate Length
| Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point. |
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Topic C: Use Measurement and Data to Solve Problems
| Lesson 15: Use measurement data to create a line plot. | |
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| “Lesson 16: Create a line plot to represent data and ask and answer questions. 60 min |
Level 3
Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10
Topic A: Conceptual Understanding of Multiplication
| Lesson 2: Interpret equal groups as multiplication. |
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Topic C: Properties of Multiplication
| Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model. |
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Topic D: Two Interpretations of Division
| Lesson 15: Model division as an unknown factor problem. |
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Module 2: Place Value Concepts Through Metric Measurement
Topic A: Understanding Place Value Concepts Through Metric Measurement
| Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand. |
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Topic C: Simplifying Strategies to Find Sums and Differences
| Lesson 13: Collect and represent data in a scaled bar graph and solve related problems. | |
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| Lesson 14: Use place value understanding to add and subtract like units. | |
| Lesson 15: Use the associative property to make the next ten to add. | |
| Lesson 16: Use compensation to add. |
Topic D: Two- and Three-Digit Measurement Addition and Subtraction
| Lesson 20: Add measurements using the standard algorithm to compose larger units once. | |
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| Lesson 21: Add measurements using the standard algorithm to compose larger units twice. |
Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9
Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7
| Lesson 11: Use the break apart and distribute strategy to divide with units of 7. | |
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| Lesson 12: Solve one-step word problems involving multiplication and division. |
Module 4: Multiplication and Area
Topic A: Foundations for Understanding Area
| Lesson 2: Recognize area as an attribute of polygons. | |
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| Lesson 3: Tile polygons to find their areas. |
Topic B: Concepts of Area Measurement
| Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area. | |
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| Lesson 7: Draw rows and columns to complete a rectangular array and determine its area. |
Module 6: Geometry, Measurement, and Data
Topic D: Collecting and Displaying Dat
| Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs. |
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Level 4
Module 1: Place Value Concepts for Addition and Subtraction
Topic A: Multiplication as Multiplicative Comparison
| Lesson 1: Interpret multiplication as multiplicative comparison. |
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Module 2: Place Value Concepts for Multiplication and Division
Topic E: Factors and Multiples
| Lesson 24: Recognize that a number is a multiple of each of its factors. | |
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| Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples. |
Module 4: Foundations for Fraction Operations
Lesson 1: Decompose whole numbers into a sum of unit fractions.
| Lesson 1: Decompose whole numbers into a sum of unit fractions. | |
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| Lesson 3: Decompose fractions into a sum of fractions. | |
| Lesson 4: Represent fractions by using various fraction models. | |
| Lesson 5: Rename fractions greater than 1 as mixed numbers. |
Topic D: Add and Subtract Fractions
| Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers. |
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Topic F: Repeated Addition of Fractions as Multiplication
| Lesson 32: Multiply a fraction by a whole number by using the associative property. |
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Module 5: Place Value Concepts for Decimal Fractions
Topic A: Exploration of Tenths
| Lesson 1: Organize, count, and represent a collection of money. | |
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| Lesson 3: Represent tenths as a place value unit. | |
| Lesson 4: Write mixed numbers in decimal form with tenths. |
Topic B: Tenths and Hundredths
| Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form. | |
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| Lesson 6: Represent hundredths as a place value unit. | |
| Lesson 7: Write mixed numbers in decimal form with hundredths. |
Topic C: Comparison of Decimal Numbers
| Lesson 10: Use pictorial representations to compare decimal numbers. | |
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| Lesson 11: Compare and order decimal numbers. |
Level 5
Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers
Topic B: Multiplication of Whole Numbers
| Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property. | |
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| Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm. |
Topic C: Division of Whole Numbers
| Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients. |
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Module 2: Addition and Subtraction with Fractions
Topic A: Fractions and Division
| Lesson 1: Interpret a fraction as division. | |
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| Lesson 3: Represent fractions as division by using models. | |
| Lesson 4: Solve word problems involving division and fractions. |
Module 3: Multiplication and Division with Fractions
Topic B: Multiplication of Fractions
| Lesson 7: Multiply fractions less than 1 by unit fractions pictorially. | |
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| Lesson 8: Multiply fractions less than 1 pictorially. | |
| Lesson 9: Multiply fractions by unit fractions by making simpler problems. | |
| Lesson 10: Multiply fractions greater than 1 by fractions. | |
| Lesson 11: Multiply fractions. |
Module 5: Addition and Multiplication with Area and Volume
Topic C: Volume Concepts
| Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting. | |
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| Lesson 18: Find the volume of right rectangular prisms by packing with improvised units. |
Topic D: Volume and the Operations of Multiplication and Addition
| Lesson 25: Find the volumes of solid figures composed of right rectangular prisms. |
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Level 6
Module 1: Ratios, Rates, and Percents
Topic A: Ratios
| Lesson 2: Introduction to Ratios |
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Topic B: Collections of Equivalent Ratios
| Lesson 6: Ratios Tables and Double Number Lines | |
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| Lesson 9: Multiplication Patterns in Ratio Relationships |
Topic D: Rates
| Lesson 16: Speed | |
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| Lesson 17: Rates | |
| Lesson 18: Comparing Rates | |
| Lesson 19: Unit Rates to Convert Units | |
| Lesson 20: Solving Rate Problems |
Module 2: Operations with Fractions and Multi-Digit Numbers
Topic B: Dividing Fractions
| Lesson 6: Dividing a Whole Number by a Fraction | |
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| Lesson 8: Dividing Fractions by Making Common Denominators |
Topic C: Dividing Fractions Fluently
| Lesson 9: Dividing Fractions by Using Tape Diagrams |
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Topic D: Decimal Addition, Subtraction, and Multiplication
| Lesson 13: Decimal Addition and Subtraction | |
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| Lesson 16: Applications of Decimal Operations |
Topic F: Decimal Division
| Lesson 21: Dividing a Decimals by a Whole Number | |
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| Lesson 22: Dividing a Decimal by a Decimal Greater than 1 | |
| Lesson 23: Dividing a Decimal by a Decimal Less than 1 |
Module 3: Rational Numbers
Topic A: Integers and Rational Numbers
| Lesson 1: Positive and Negative Numbers | |
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| Lesson 3: Rational Numbers |
Module 4: Expressions and One-Step Equations
Topic B: Expressions and Real-World Problems
| Lesson 9: Addition and Subtraction Expressions from the Real-World |
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Topic C: Equivalent Expressions Using the Properties of Operations
| Lesson 13: The Distributive Property |
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Topic D: Equations and Inequalities
| Lesson 17: Equations and Solutions | |
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| Lesson 18: Inequalities and Solutions | |
| Lesson 19: Solving Equations with Addition and Subtraction | |
| Lesson 20: Solving Equations with Multiplication and Division | |
| Lesson 21: Solving Problems with Equations |
Module 5: Area, Surface Area, and Volume
Topic A: Areas of Polygons
| Lesson 1: The Area of a Parallelogram | |
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| Lesson 2: The Area of a Right Triangle | |
| Lesson 3: The Area of a Triangle | |
| Lesson 4: Areas of Triangles in Real-World Situations |
Topic B: Problem Solving with Area
| Lesson 5: Perimeter and Area in the Coordinate Plane | |
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| Lesson 6: Problem Solving with Area in the Coordinate Plane | |
| Lesson 7: Areas of Trapezoids and Other Polygons | |
| Lesson 8: Areas of Composite Rigures in Real-World Situations |
Topic C: Nets and Surface Area
| Lesson 12: From Nets to Surface Area |
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Module 6: Statistics
Topic A: Understanding Distributions
| Lesson 2: Describing a Data Distribution | |
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| Lesson 3: Creating a Dot Plot | |
| Lesson 4: Creating a Histogram |
Topic B: Mean and Mean Absolute Deviation
| Lesson 7: Using the Mean to Describe Center |
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Level 7
Module 1: Ratios and Proportional Relationships
Topic A: Understanding Proportional Relationships
| Lesson 1: An Experiment with Ratios and Rates | |
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| Lesson 2: Exploring Tables and Proportional Relationships | |
| Lesson 4: Exploring Graphs of Proportional Relationships |
Topic C: Scale Drawing and Proportional Relationships
| Lesson 14: Extreme Bicycles | |
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| Lesson 15: Scale Drawing | |
| Lesson 16: Using Scale Factor | |
| Lesson 17: Finding Actual Distances from Scale | |
| Lesson 18: Relating Areas of Scale Drawing |
Module 2: Operations with Rational Numbers
Topic A: Adding Rational Numbers
| Lesson 2: Adding Integers |
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Topic B: Subtracting Rational Numbers
| Lesson 8: Subtracting Integers, Part 1 | |
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| Lesson 10: Subtracting Rational Numbers, Part 1 |
Topic E: Numberical Expressions with Rational Numbers
| Lesson 25: Writing and Evaluating Expressions with Rational Numbers |
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Module 3: Expressions, Equations, and Inequalities
Topic A: Equivalent Expressions
| Lesson 1: Equivalent Expressions |
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Topic B: Unknown Angle Measurements
| Lesson 7: Angle Relationships and Unknown Angle Measures |
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Topic C: Solving Equations
| Lesson 11: Dominoes and Dominoes |
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Topic D: Inequalities
| Lesson 18: Understanding Inequalities and Their Solutions | |
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| Lesson 19: Using Equations to Solve Inequalities | |
| Lesson 20: Preserving and Reversing | |
| Lesson 21: Solving Two-Step Inequalities | |
| Lesson 22: Solving Problems Involving Inequalities |
Module 4: Geometry
Topic A: Constructing Geometric Figures
| Lesson 3: Side Lengths of a Triangle | |
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| Lesson 4: Angles of a Triangle |
Topic C: Circumference and Areas of Circles
| Lesson 10: The Outside of a Cicle | |
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| Lesson 11: The Inside of a Circle | |
| Lesson 14: Composite Figures with Circular Regions |
Module 5: Percent and Applications of Percent
Topic A: Proportion and Percent
| Lesson 3: Percent as a Rate per 100 | |
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| Lesson 4: Proportion and Percent |
Topic C: More of Less Than 100%
| Lesson 10: Percent Increase |
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Topic D: Applications of Percent
| Lesson 16: Markups and Discount | |
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| Lesson 18: Simple Interest – Solving for Unknown Values |
Topic E: Problems Involving Percent
| Lesson 20: Making Money, Day 1 |
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Module 6: Probability and Populations
Topic A: Calculating and Interpreting Probabilities
| Lesson 2: Empirical Probability | |
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| Lesson 4: Theoretical Probability |
Topic B: Estimating Probabilities
| Lesson 7: The Law of Large Numbers |
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Topic C: Random Sampling
| Lesson 11: Populations and Samples |
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Level 8
Module 1: Scientific Notation, Exponents, and Irrational Numbers
Topic A: Introduction to Scientific Notation
| Lesson 2: Comparing Large Numbers | |
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| Lesson 4: Adding and Subtracting Numbers Written in Scientific Notation |
Topic B: Properties and Definitions of Exponents
| Lesson 6: More Properties of Exponents | |
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| Lesson 7: Making Sense of the Exponent 0 |
Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem
| Lesson 18: The Pythagorean Theorem | |
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| Lesson 19: Using the Pythagorean Theorem | |
| Lesson 23: Ordering Irrational Numbers |
Module 2: Rigid Motions and Congruent Figures
Topic A: Rigid Motion and Their Properties
| Lesson 1: Motions in the Plane | |
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| Lesson 2: Translations | |
| Lesson 4: Translations and Reflections on the Coordinate Plane | |
| Lesson 6: Rotations on the Coordinate Plane |
Topic B: Rigid Motions and Congruent Figures
| Lesson 8: Sequencing the Rigid Motions |
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Topic C: Angle Relationships
| Lesson 12: Lines Cut by a Transversal |
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Module 3: Dilations and Similar Figures
Topic A: Dilations
| Lesson 1: Exploring Dilations | |
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| Lesson 3: Reductions and More Enlargments |
Topic B: Properties of Dilations
| Lesson 5: Figures and Dilations |
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Module 4: Linear Equations in One and Two Variables
Topic A: Linear Equations in One Variable
| Lesson 3: Solving Linear Equations with Rational Coefficients |
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Topic D: Slope of a Line
| Lesson 16: Proportional Relationships and Slope | |
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| Lesson 17: Slopes of Rising Lines | |
| Lesson 18: Slopes of Falling Lines |
Topic E: Different Forms of a Linear Equation
| Lesson 20: Slope-Intercept form of the Equation of a Line | |
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| Lesson 21: Slopes and Parallel Lines |
Module 5: Systems of Linear Equations
Topic A: Solving Systems of Linear Equations Graphically
| Lesson 1: Solving Problems with Equations and Their Graphs |
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Topic B: Solving Systems of Linear Equations Algebraically
| Lesson 6: Solving Systems of Linear Equations without Graphing |
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Module 6: Functions and Bivariate Statistics
Topic A: Functions
| Lesson 1: Motion and Speed | |
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| Lesson 2: Definition of a Function |
Topic B: Linear and Nonlinear Functions
| Lesson 9: Increasing and Decreasing Functions |
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Topic C: Bivariate Numerical Data
| Lesson 11: Scatter Plots | |
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| Lesson 12: Patterns in Scatter Plots | |
| Lesson 13: Informally Fitting a Line to Data | |
| Lesson 14: Determining an Equation of a Line Fit to Data | |
| Lesson 15: Linear Model | |
| Lesson 16: Using the Investigative Process | |
| Lesson 17: Analyzing the Modle |
Topic D: Bivariate Categorical Data
| Lesson 18: Bivariate Categorical Data |
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Topic E: Volume
| Lesson 22: Volume of a Cylinder | |
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| Lesson 23: Volume of Cones |
Algebra 1
Module 1: Expressions, Equations and Inequalities in One Variable
| Lesson 1: The Growing Pattern of Ducks | |
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| Lesson 8: Solution Sets for Equations and Inequalities in One Variable | |
| Lesson 9: Solving Linear Equations in One Variable | |
| Lesson 12: Rearranging Formulas | |
| Lesson 13: Solving Linear Inequalities in One Variable | |
| Lesson 21: Describing Variability in a Univariate Distribution with Standard Deviation |
Module 2: Equations and Inequalities in Two Variables
| Lesson 1: Solution Sets of Linear Equations in Two Variables | |
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| Lesson 6: Applications of Linear Equations and Inequalities | |
| Lesson 8: Systems of Linear Equations in Two Variables | |
| Lesson 12: Solution Sets of Systems of Linear Inequalities | |
| Lesson 13: Graphing Solution Sets of Systems of Linear Inequalities | |
| Lesson 16: Using Lines to Model Bivariate Quantitative Data | |
| Lesson 17: Modeling Relationships with a Line | |
| Lesson 18: Calculating and Analyzing Residuals | |
| Lesson 20: Interpreting Correlation | |
| Lesson 21: Analyzing Bivariate Quantitative Data |
Module 3: Functions and Their Representations
| Lesson 7: Exploring Key Features of a Function and Its Graph | |
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| Lesson 17: Piecewise Linear Functions in Context |
Module 4: Quadratic Functions
| Topic A: Quadratic Functions and Their Graphs | |
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| Lesson 1: Falling Objects | |
| Lesson 2: Projectile Motion | |
| Lesson 3: Analyzing Functions That Model Projectile Motion | |
| Lesson 4: Graphs of Quadratic Functions | |
| Lesson 5: Solving Equations that Contain Factored Expressions | |
| Lesson 11: Graphing Quadratic Functions from Factored Form | |
| Lesson 14: Solving Quadratic Equations by Completing the Square | |
| Lesson 27: Search and Rescue Helicopter |
Module 5: Linear and Exponential Functions
| Topic A: Arithmetic and Geometric Sequences | |
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| Lesson 8: Exponential Functions | |
| Topic A: Arithmetic and Geometric Sequences | |
| Topic A: Arithmetic and Geometric Sequences | |
| Lesson 18: Modeling Populations | |
| Lesson 20: Comparing Growth of Functions |
Module 6: Modeling with Functions
| Topic A: Modeling Bivariate Quantitative Data | |
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| Topic B: Developing Models for Contexts |