Mathmaji Curriculum & Lesson Guide for Mitra SMK

Explore the units and lessons available to Mitra SMK students, including the main learning goal for each lesson.

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Grade 1
Unit 1: Mathmaji Test

Unit overview: Students complete short assessments that show what they know before, during, or after the grade's lessons.

Lesson 1Mathmaji Pretest

Students complete a short assessment to show what they understand and which skills need more practice.

Lesson 2Mathmaji Progress Test

Students complete a short assessment to show what they understand and which skills need more practice.

Unit 2: Make 10

Unit overview: Students learn the numbers up to 10, and composition and decomposition of 10.

Lesson 1Numbers 1 to 5!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 2Numbers 6 to 10!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 3Number 0!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 4What and What Make 10?

Students find pairs of numbers that make 10 and use them to understand how 10 can be broken apart.

Lesson 5Making 10 Game!

Students find pairs of numbers that make 10 and use them to understand how 10 can be broken apart.

Unit 3: Addition

Unit overview: Students understand addition problems, and learn to add within 10.

Lesson 1How Many Cookies?

Students combine groups to find how many there are altogether.

Lesson 2Counting Acorns!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 3Plus Means Addition!

Students combine quantities and practice strategies for finding sums accurately.

Lesson 4Let's Practice Addition!

Students combine quantities and practice strategies for finding sums accurately.

Unit 4: Subtraction within 1000

Unit overview: Students understand subtraction problems, and learn to subtract within 10.

Lesson 1How Many Cookies Are Left?

Students use subtraction to find how many remain or how many belong to a selected group.

Lesson 2How Many Cakes Are Cheesecakes?

Students use subtraction to find how many remain or how many belong to a selected group.

Lesson 3Let's Practice Subtraction!

Students find differences and practice strategies for subtracting accurately.

Unit 5: Numbers Greater Tthan 10

Unit overview: Students understand how to read and order numbers from 11 to 20.

Lesson 1How Many Apples Are There?

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 2All the Way up to 20!

Students learn about all the way up to 20 and apply the idea in guided examples and practice questions.

Lesson 3You Can Order Numbers up to 20!

Students compare and order numbers by using quantities, place value, and comparison symbols.

Lesson 4Adding and Subtracting Numbers up to 20!

Students connect addition and subtraction and practice choosing an efficient way to solve each problem.

Unit 6: Ordinal Numbers

Unit overview: Students understand how to read and use ordinal numbers.

Lesson 1Who Won the Race?

Students use ordinal numbers such as first, second, and third to describe position and order.

Lesson 2Where Is My Cap?

Students use ordinal numbers such as first, second, and third to describe position and order.

Unit 7: Numbers Greater than 20

Unit overview: Students learn the order of numbers up to 100.

Lesson 1Big Numbers!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 2Fun with Big Numbers!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 3One Hundred!

Students count quantities, connect them to written numbers, and explain how many there are.

Unit 8: 3D Shapes

Unit overview: Students identify different 3D shapes and know their names (sphere, cube, cylinder, and cone).

Lesson 1Let's Build Using Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 2Grouping Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 3Matching Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Unit 9: Length

Unit overview: Students compare lengths of two objects directly or indirectly.

Lesson 1Compare the Lengths

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 2Compare the Lengths and Widths

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Unit 10: 2D Shapes

Unit overview: Students identify and use the names of 2D shapes (triangle, square, circle, rectangle, and hexagon).

Lesson 1Let's Trace 3D Shapes to Spot the Flat Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 2Circles, Squares, Triangles... Let's Find Them All!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 3Identify Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 4Let's Make Different Shapes!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 5Trace Edges

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 6Connect Dots

Students examine shapes and develop the geometry skill named in the lesson.

Grade 2
Unit 1: Grade 2 Prep

Unit overview: Students confirm understanding of Kindergarten content.

Lesson 1Grade 1 Prep

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 2Let's Review Our English Words!

Students review the English math words they will use in the lesson activities.

Unit 2: Addition within 20

Unit overview: Students learn how to add with carrying within 20.

Lesson 1Adding to Get Numbers Greater Than 10

Students combine quantities and practice strategies for finding sums accurately.

Lesson 2Let's Practice Addition!

Students combine quantities and practice strategies for finding sums accurately.

Lesson 3Story Time!

Students apply the unit's math skills in a short story or everyday situation.

Unit 3: Subtraction within 20

Unit overview: Students learn how to subtract with borrowing within 20.

Lesson 1Subtracting from Numbers Less than 20

Students find differences and practice strategies for subtracting accurately.

Lesson 2Story Time!

Students apply the unit's math skills in a short story or everyday situation.

Unit 4: Numbers Greater than 20

Unit overview: Students understand the structure of two-digit numbers and the number 100.

Lesson 1Numbers Greater than 20!

Students compare and order numbers by using quantities, place value, and comparison symbols.

Lesson 2Let's count!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 3Big Numbers!

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 4The Number 100!

Students learn about the number 100 and apply the idea in guided examples and practice questions.

Lesson 5You Can Order Numbers up to 100!

Students compare and order numbers by using quantities, place value, and comparison symbols.

Lesson 6Bigger Numbers!

Students learn about bigger numbers and apply the idea in guided examples and practice questions.

Unit 5: Let's Express the Size of Divided Parts

Unit overview: Students understand halves and quarters.

Lesson 1Divide Shapes Into Equal Parts!

Students divide shapes or lengths into equal parts and describe the size of each part.

Unit 6: Addition of Numbers up to 100

Unit overview: Students learn how to add two-digit numbers.

Lesson 1You Can Add Big Numbers!

Students combine quantities and practice strategies for finding sums accurately.

Lesson 2Adding with Two-Digit Numbers

Students combine quantities and practice strategies for finding sums accurately.

Lesson 3How Do We Carry in Addition?

Students combine quantities and practice strategies for finding sums accurately.

Lesson 4More About Carrying

Students develop addition strategies and practice the skill named in the lesson.

Lesson 5What Do You Know About Addition?

Students combine quantities and practice strategies for finding sums accurately.

Unit 7: Subtraction of Numbers up to 100

Unit overview: Students learn how to subtract two-digit numbers.

Lesson 1You Can Subtract Big Numbers!

Students find differences and practice strategies for subtracting accurately.

Lesson 2Subtracting One-Digit Number from a Two-Digit Number

Students find differences and practice strategies for subtracting accurately.

Lesson 3What Do You Know about Subtraction?

Students find differences and practice strategies for subtracting accurately.

Unit 8: Solving Problems Using Diagrams

Unit overview: Students learn how to use diagrams to help with calculations.

Lesson 1Can You Use Diagrams to Help with Calculations?

Students draw and use simple diagrams to organize information and solve calculation problems.

Lesson 2You Can Draw Diagrams to Help with Calculations!

Students draw and use simple diagrams to organize information and solve calculation problems.

Lesson 3Let's Practice Calculations Using Diagrams!

Students draw and use simple diagrams to organize information and solve calculation problems.

Unit 9: Time

Unit overview: Students learn to tell time to the hour and half-hour on analog clocks.

Lesson 1Telling Time: On the Hour

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Lesson 2Telling Time: Half Past

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Unit 10: Length

Unit overview: Students learn to quantify the length of objects using other objects and standard units (inch and feet).

Lesson 1Can You Use Aid to Compare the Lengths?

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 2Can You Measure a Length?

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Grade 3
Unit 1: Grade 3 Prep

Unit overview: Students confirm understanding of Grade 1 learning content.

Lesson 1Grade 2 Prep Part 1

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 2Grade 2 Prep Part 2

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 3Let's Review Our English Words!

Students review the English math words they will use in the lesson activities.

Unit 2: Addition within 100

Unit overview: Students learn column addition of two-digit numbers.

Lesson 1Addition without Carrying: Part 1

Students combine quantities and practice strategies for finding sums accurately.

Lesson 2Addition without Carrying: Part 2

Students combine quantities and practice strategies for finding sums accurately.

Lesson 3Carrying to the Tens Place

Students develop addition strategies and practice the skill named in the lesson.

Lesson 4Addition Practice

Students combine quantities and practice strategies for finding sums accurately.

Unit 3: Subtraction within 1000

Unit overview: Students learn column subtraction of two-digit numbers.

Lesson 1Subtraction Without Borrowing

Students find differences and practice strategies for subtracting accurately.

Lesson 2Subtraction Practice (1)

Students find differences and practice strategies for subtracting accurately.

Lesson 3Borrowing from the Tens Place

Students develop subtraction strategies and practice the skill named in the lesson.

Lesson 4Subtraction Practice (2)

Students find differences and practice strategies for subtracting accurately.

Unit 4: Numbers up to 1000

Unit overview: Students understand the structure of three-digit numbers and the number 1000.

Lesson 1Numbers up to 1000

Students learn about numbers up to 1000 and apply the idea in guided examples and practice questions.

Lesson 2Putting Big Numbers in Order

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 3Introducing “One Thousand”

Students use place value to read, write, compare, and break apart numbers.

Lesson 4Calculation with Big Numbers

Students count quantities, connect them to written numbers, and explain how many there are.

Unit 5: Addition within 1000

Unit overview: Students learn column addition of three-digit numbers.

Lesson 1Carrying to the Hundreds Place

Students develop addition strategies and practice the skill named in the lesson.

Lesson 2Carrying to the Tens and the Hundreds Places

Students develop addition strategies and practice the skill named in the lesson.

Lesson 3Three Digit Addition

Students combine quantities and practice strategies for finding sums accurately.

Lesson 4Addition Practice (1)

Students combine quantities and practice strategies for finding sums accurately.

Lesson 5Addition Practice (2)

Students combine quantities and practice strategies for finding sums accurately.

Unit 6: Subtraction within 1000

Unit overview: Students learn column subtraction of three-digit numbers.

Lesson 1Borrowing from the Hundreds Place

Students develop subtraction strategies and practice the skill named in the lesson.

Lesson 2Borrowing From the Tens and the Hundreds Places

Students develop subtraction strategies and practice the skill named in the lesson.

Lesson 3Subtraction: Numbers With Zeros?

Students find differences and practice strategies for subtracting accurately.

Lesson 4Three Digit Subtraction

Students find differences and practice strategies for subtracting accurately.

Lesson 5Subtraction Practice (1)

Students find differences and practice strategies for subtracting accurately.

Lesson 6Subtraction Practice (2)

Students find differences and practice strategies for subtracting accurately.

Unit 7: Multiplication (1)

Unit overview: Students understand multiplication and odd and even numbers.

Lesson 1Introducing Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 2Even and Odd

Students develop multiplication strategies and practice the skill named in the lesson.

Unit 8: Multiplication (2)

Unit overview: Students learn how to multiply by 5, 2, 3, and 4.

Lesson 1Multiplying by 5

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 2Multiplying by 2

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 3Multiplying by 3

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 4Multiplying by 4

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 5Multiplication Practice

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 6Multiplication Word Problems

Students use multiplication to solve word problems and connect each calculation to the situation.

Unit 9: Multiplication (3)

Unit overview: Students learn how to multiply by 6, 7, 8, 9, and 1.

Lesson 1Multiplying by 6

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 2Multiply by 7

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 3Multiplying by 8

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 4Multiplying by 9

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 5Multiplying by 1

Students develop multiplication strategies and practice the skill named in the lesson.

Unit 10: Math Sentence with ◻︎

Unit overview: Students solve problems with unknown numbers.

Lesson 1Representing an Unknown Number with a Square

Students represent number relationships with equations and find missing or unknown values.

Lesson 2Unknown Number Practice (1)

Students represent number relationships with equations and find missing or unknown values.

Lesson 3Unknown Number Practice (2)

Students represent number relationships with equations and find missing or unknown values.

Lesson 4Solving Word Problems

Students identify the important information in a word problem, choose a method, and explain the answer.

Unit 11: Equal-size Part

Unit overview: Students learn how to divide shapes and lengths into equal parts.

Lesson 1Dividing Shapes into Equal Parts

Students divide shapes or lengths into equal parts and describe the size of each part.

Unit 12: Metric Units of Lengths

Unit overview: Students understand the units of length (m, cm, and mm) and the units of distance (km and mile).

Lesson 1Let's Use Centimeters to Measure Length!

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 2Smaller than Centimeters?

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 3Changing Centimeters to Millimeters

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 4Can You Add Lengths?

Students add measurements of length or distance using the same units.

Lesson 5Can You Subtract Lengths?

Students subtract measurements of length or distance using the same units.

Unit 13: Distance

Unit overview: Students learn about distance and practice the main skills through guided examples and activities.

Lesson 1Let's Learn Meters!

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Lesson 2Going the Distance!

Students measure and compare length or distance, choose suitable units, and solve measurement problems.

Unit 14: Telling Time

Unit overview: Students learn to tell and write time to the nearest minute using a.m. and p.m.

Lesson 1a.m. and p.m.

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Lesson 2What Time Is It?

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Lesson 3Clock Numbers from Ancient Rome

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Unit 15: Various Shapes

Unit overview: Students recognize 2D and 3D shapes based on their attributes and identify right angles.

Lesson 1Shape Detectives!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 2Let's Explore Shape Parts!

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 3What is a right angle?

Students identify, compare, or measure angles and use angle relationships to solve problems.

Lesson 4What is a right triangle?

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Unit 16: English Review: Accounting

Unit overview: Students learn about english review: accounting and practice the main skills through guided examples and activities.

Lesson 1Accounting Math: Sales and Profit

Students use arithmetic in a simple accounting context, including sales, costs, and profit.

Grade 4
Unit 1: Grade 4 Prep

Unit overview: Students learn about grade 4 prep and practice the main skills through guided examples and activities.

Lesson 1Grade 3 Prep - Part 1

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 2Grade 3 Prep - Part 2

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 3Grade 3 Prep: Part 2

Students review important skills from the previous grade and prepare for new grade-level work.

Lesson 4Let's Review Our English Words!

Students review the English math words they will use in the lesson activities.

Unit 2: Multiplication Patterns

Unit overview: Students understand multiplication by 10 and 0, and the properties of multiplication.

Lesson 1Multiplying by 10

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 2Multiplying by 0

Students develop multiplication strategies and practice the skill named in the lesson.

Lesson 3Properties of Multiplication (1)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 4Properties of Multiplication (2)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 5Properties of Multiplication (3)

Students build multiplication understanding and practice using efficient strategies to find products.

Unit 3: Division (1)

Unit overview: Students understand division and learn how to divide.

Lesson 1Introducing Division

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 2Division and Multiplication

Students connect multiplication and division and use one operation to check the other.

Lesson 3Another Way to Think About Division

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 4Division Practice (1)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 5Division Practice (2)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 6Division Word Problems

Students use division to solve word problems and explain what the quotient represents.

Unit 4: Division (2)

Unit overview: Students learn how to divide with a remainder.

Lesson 1Division with a Remainder

Students divide into equal groups, record remainders, and explain what the remainder means.

Lesson 2Word Problems for Division with a Remainder

Students solve division word problems with remainders and decide what the remainder means in each situation.

Lesson 3Checking the Solution of a Division Problem

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 4Applications of Division

Students use division to solve word problems and explain what the quotient represents.

Unit 5: Numbers Greater than 1000

Unit overview: Students understand the structure of numbers up to 1 million.

Lesson 1Numbers Greater than 1000

Students compare and order numbers by using quantities, place value, and comparison symbols.

Lesson 2Introducing "Ten Thousand" and "Hundred Thousand"

Students use place value to read, write, compare, and break apart numbers.

Lesson 3Place Values

Students use place value to read, write, compare, and break apart numbers.

Lesson 4Putting Numbers in Order

Students compare and order numbers by using quantities, place value, and comparison symbols.

Lesson 5Introducing "One Million"

Students use place value to read, write, compare, and break apart numbers.

Lesson 6Practice Using Big Numbers

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 7Carrying to the Thousands Place

Students use place value to read, write, compare, and break apart numbers.

Lesson 8Borrowing from the Thousands Place

Students use place value to read, write, compare, and break apart numbers.

Lesson 9Multiplication and Division by 10

Students connect multiplication and division and use one operation to check the other.

Lesson 10Rounding Numbers

Students round and estimate numbers to find reasonable answers and check calculations.

Unit 6: Multiplication Algorithm (1)

Unit overview: Students learn column multiplication of two-digit times one-digit numbers.

Lesson 1Properties of Multiplication (1)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 2Properties of Multiplication (2)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 3Two Digits Times one Digit (1)

Students use place value to read, write, compare, and break apart numbers.

Lesson 4Two Digits Times One Digit (2)

Students use place value to read, write, compare, and break apart numbers.

Lesson 5Two Digits Times One Digit (3)

Students use place value to read, write, compare, and break apart numbers.

Lesson 6Two Digits Times One Digit (4)

Students use place value to read, write, compare, and break apart numbers.

Lesson 7Three Digits Times One Digit (1)

Students use place value to read, write, compare, and break apart numbers.

Lesson 8Three Digits Times One Digit (2)

Students use place value to read, write, compare, and break apart numbers.

Lesson 9Four Digits Times One Digit

Students use place value to read, write, compare, and break apart numbers.

Lesson 10Multiplication Practice.

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 11Order of Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 12Understanding Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Unit 7: Math Sentence with a Letter

Unit overview: Students learn to express unknown numbers using letters to solve problems.

Lesson 1Representing an Unknown Number with a Letter

Students represent number relationships with equations and find missing or unknown values.

Lesson 2Using Parentheses

Students learn about using parentheses and apply the idea in guided examples and practice questions.

Lesson 3Multiplication and Division Before Addition and Subtraction.

Students connect multiplication and division and use one operation to check the other.

Unit 8: Multiplication Algorithm (2)

Unit overview: Students learn column multiplication of two-digit numbers.

Lesson 1Properties of Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 2Two Digits Times Two Digits (1)

Students use place value to read, write, compare, and break apart numbers.

Lesson 3Multiplication Practice (1)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 4Two Digits Times Two Digits (2)

Students use place value to read, write, compare, and break apart numbers.

Lesson 5Multiplication Practice (2)

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 6Multiplication Word Problems

Students use multiplication to solve word problems and connect each calculation to the situation.

Lesson 7Two-Step Problems

Students develop multiplication strategies and practice the skill named in the lesson.

Unit 9: Fractions

Unit overview: Students understand fractions with denominators of 2, 3, 4, 6, and 8.

Lesson 1Introducing Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Various Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 3Dividing into 8

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 4Denominators 2, 3, 4, 6, and 8

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 5Comparing Sizes of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Unit 10: Decimals

Unit overview: Students understand decimals up to the tenths digit and learn how to calculate decimals.

Lesson 1Introducing Decimals

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Unit 11: Circles

Unit overview: Students understand the definition of a circle and its properties (center, radius, and diameter).

Lesson 1What Is a Circle?

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

Lesson 2Radius and Diameter

Students learn about radius and diameter and apply the idea in guided examples and practice questions.

Unit 12: Time

Unit overview: Students calculate duration using addition and subtraction, and understanding the unit of “second.”

Lesson 1Time Before and After

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Lesson 2Time Before and After, Crossing the Hour

Students read and use time information, including clocks, a.m. and p.m., elapsed time, or calendars.

Lesson 3How Long Did It Take?

Students work with elapsed time and find how long an activity or interval lasts.

Lesson 4Ready, Set, Seconds!

Students choose addition or subtraction and practice the skill named in the lesson.

Grade 5
Unit 1: The Structure of Large Numbers

Unit overview: Students understand the structure of numbers up to 1 trillion.

Lesson 1Let’s Represent Numbers Greater than the Millions!

Students use place value to read, write, compare, and break apart numbers.

Lesson 2Now the Billions!

Students use place value to read, write, compare, and break apart numbers.

Lesson 3How About the Numbers Greater than the Billions?

Students use place value to read, write, compare, and break apart numbers.

Lesson 4Can You Pick the Correct Numeral?

Students explore can you pick the correct numeral through guided examples, discussion, and practice.

Lesson 5Multiplying and Dividing by 10s

Students learn about multiplying and dividing by 10s and apply the idea in guided examples and practice questions.

Lesson 6Multiplying three-digit numbers

Students use place value to read, write, compare, and break apart numbers.

Lesson 7Does 0 make the multiplication easier?

Students build multiplication understanding and practice using efficient strategies to find products.

Unit 2: The Structure of Fractions

Unit overview: Students understand the various ways of expressing fractions.

Lesson 1The Structure of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Improper Fractions vs. Mixed Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 3Improper Fractions to Mixed Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 4Mixed Fractions to Improper Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 5Comparing Fractions with Different Denominators

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 6Adding Fractions with the Same Denominators

Students add and subtract fractions using models and number relationships.

Lesson 7Subtraction of Fractions

Students add and subtract fractions using models and number relationships.

Lesson 8More Calculations!

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Unit 3: The Structure of Decimals

Unit overview: Students understand the structure of decimals with two or more decimal places.

Lesson 1Two Numbers after the Decimal Point

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 2More Numbers after the Decimal Point

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Decimal place values

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 4Moving the Decimal Point

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 5Decimals and fractions with denominator 10 or 100

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 6Addition of Decimals (1)

Students add and subtract decimals by lining up place values and checking the size of the answer.

Lesson 7Addition of Decimals (2)

Students add and subtract decimals by lining up place values and checking the size of the answer.

Lesson 8Subtraction of Decimals (1)

Students add and subtract decimals by lining up place values and checking the size of the answer.

Lesson 9Subtraction of Decimals (2)

Students add and subtract decimals by lining up place values and checking the size of the answer.

Unit 4: Multiplication and Division of Fractions by Counting Numbers

Unit overview: Students learn how to multiply and divide fractions by counting numbers.

Lesson 1Let's Multiply Fractions by Counting Numbers!

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Multiplication Computations

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 3Let's Divide Fractions by Counting Numbers!

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 4Division Computation

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Unit 5: Introduction to Order of Operations

Unit overview: Students learn how to culculate formulas with parentheses and the four arithmetic operations.

Lesson 1Combining Equations

Students represent number relationships with equations and find missing or unknown values.

Lesson 2Which Operations is First?

Students explore which operations is first through guided examples, discussion, and practice.

Lesson 3Rules for Order of Operations

Students learn about rules for order of operations and apply the idea in guided examples and practice questions.

Lesson 4Commutative and Associate Properties of Addition and Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 5The Distributive Property

Students learn about the distributive property and apply the idea in guided examples and practice questions.

Lesson 6Which Operations Do We Calculate First?

Students explore which operations do we calculate first through guided examples, discussion, and practice.

Unit 6: Division by a Single Digit

Unit overview: Students learn long division by single-digit numbers.

Lesson 1Dividing by making groups of 10

Students develop division strategies and practice the skill named in the lesson.

Lesson 2Division by Grouping Each Place Value

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 3Division by Grouping Each Place Value, with Remainder

Students divide into equal groups, record remainders, and explain what the remainder means.

Lesson 4Two Digits Divided by One Digit

Students use place value to read, write, compare, and break apart numbers.

Lesson 5Introducing Long Division

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 6Long Division: Two Digits by One Digit

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 7Long Division: Three Digits Divided by One Digit (1)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 8Long Division: There Digits Divided by One Digit (2)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 9What Happens When You Cannot Divide the Hundreds Place Evenly?

Students develop division strategies and practice the skill named in the lesson.

Lesson 10Is There an Easier Way to Calculate Division?

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Unit 7: Division by Two Digits

Unit overview: Students learn long division by two-digit numbers.

Lesson 1Dividing by Making Groups of 10

Students develop division strategies and practice the skill named in the lesson.

Lesson 2Division by Making Groups of 10 with Remainder

Students divide into equal groups, record remainders, and explain what the remainder means.

Lesson 3Division by Grouping Each Place Value

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 4Long Division (1)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 5Long Division (2)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 6Long Division (3)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 7Too Big or Too Small?

Students develop division strategies and practice the skill named in the lesson.

Lesson 8Single-Digit Answers

Students use place value to read, write, compare, and break apart numbers.

Lesson 9Two-Digit Answers (1)

Students use place value to read, write, compare, and break apart numbers.

Lesson 10Two-Digit Answers (2)

Students use place value to read, write, compare, and break apart numbers.

Lesson 11Three Digits Divided by Three Digits

Students use place value to read, write, compare, and break apart numbers.

Lesson 12Various Division Problems

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 13Division Problems with a Given Answer

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 14Using the Properties of Division

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Unit 8: Multiplication and Division of Decimal Numbers

Unit overview: Students learn how to multiply and divide decimal numbers by counting numbers.

Lesson 1How Do We Multiply Decimal Numbers by Counting Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 2Can We Use Column Multiplication for Decimal Numbers?

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Decimal Numbers Multiplied by 2-Digit or 3-Digit Counting Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 4Multiplication with More Decimal Digits

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 5More Multiplication of Decimal Numbers by Counting Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 6How Do We Divide Decimal Numbers by Counting Numbers?

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 7Divide Decimal Numbers by Greater Counting Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 8Dividing until the Remainder Is Zero

Students divide into equal groups, record remainders, and explain what the remainder means.

Lesson 9Dividing Decimal Numbers with Remainder.

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Unit 9: Approximate Numbers

Unit overview: Students understand approximate numbers and learn how to round numbers.

Lesson 1Think of a Way to Approximate Numbers

Students learn about think of a way to approximate numbers and apply the idea in guided examples and practice questions.

Lesson 2Rounding Numbers

Students round and estimate numbers to find reasonable answers and check calculations.

Lesson 3Different Ways to Approximate

Students learn about different ways to approximate and apply the idea in guided examples and practice questions.

Lesson 4Finding All the Numbers That Round to a Given Value

Students round and estimate numbers to find reasonable answers and check calculations.

Lesson 5Estimating Sums and Differences.

Students learn about estimating sums and differences and apply the idea in guided examples and practice questions.

Lesson 6Estimating Products and Quotients

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Grade 6
Unit 1: Counting Numbers and Decimal Numbers

Unit overview: Students understand the structure of numbers with both integer and decimal parts.

Lesson 1Place Values

Students use place value to read, write, compare, and break apart numbers.

Lesson 2Structure of Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Comparing Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 4Moving the Decimal Point (1)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 5Moving the Decimal Point (2)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 6Unit Conversion

Students use place value and models to develop the decimal skill named in the lesson.

Lesson 7Rounding Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 8Finding the Numbers that Round to a Given Value

Students round and estimate numbers to find reasonable answers and check calculations.

Lesson 9Estimating Using Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Unit 2: Multiplication of Decimal Numbers

Unit overview: Students learn how to multiply decimals.

Lesson 1Multiplying Decimal Numbers by Counting Numbers (1)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 2Multiplying Decimal Numbers by Counting Numbers (2)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Practice Multiplying Decimal Numbers by Counting Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 4Multiplication of Decimals Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 5Column Multiplication of Decimal Numbers (1)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 6Column Multiplication of Decimal Numbers (2)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 7Size Comparison of Multiplication

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 8Properties of Decimal Multiplication

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 9Multiplication Practice

Students build multiplication understanding and practice using efficient strategies to find products.

Unit 3: Division of Decimal Numbers

Unit overview: Students learn how to divide decimals.

Lesson 1Dividing Counting Numbers by Decimal Numbers (1)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 2Dividing Counting Numbers by Decimal Numbers (2)

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Practice Dividing Counting Numbers by Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 4Division Word Problems

Students use division to solve word problems and explain what the quotient represents.

Lesson 5Division of Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 6Long Division of Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 7Size Comparison of Division

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 8Division of Decimal Numbers with Remainder

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 9Approximation of Decimal Division

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Unit 4: Even, Odd, and Prime Numbers

Unit overview: Students understand the properties of odd, even, and prime numbers.

Lesson 1The Structure of Even and Odd Numbers

Students learn about the structure of even and odd numbers and apply the idea in guided examples and practice questions.

Lesson 2How Can We Express Even and Odd Numbers?

Students explore how can we express even and odd numbers through guided examples, discussion, and practice.

Lesson 3Adding Even and Odd Numbers

Students combine quantities and practice strategies for finding sums accurately.

Lesson 4Multiplying Even and Odd Numbers

Students learn about multiplying even and odd numbers and apply the idea in guided examples and practice questions.

Lesson 5Prime Numbers

Students learn about prime numbers and apply the idea in guided examples and practice questions.

Lesson 6Identifying Prime Numbers

Students learn about identifying prime numbers and apply the idea in guided examples and practice questions.

Lesson 7Let's Play with Numbers!

Students learn about let's play with numbers and apply the idea in guided examples and practice questions.

Unit 5: Multiples and Divisors

Unit overview: Students understand multiples and divisors, and solve problems related to them.

Lesson 1What is a Multiple?

Students develop division strategies and practice the skill named in the lesson.

Lesson 2Common Multiples

Students develop division strategies and practice the skill named in the lesson.

Lesson 3How Do We Find the Least Common Multiple?

Students develop division strategies and practice the skill named in the lesson.

Lesson 4Least Common Multiple and Common Multiples

Students develop division strategies and practice the skill named in the lesson.

Lesson 5Using Multiples

Students develop division strategies and practice the skill named in the lesson.

Lesson 6Dividing Numbers

Students develop division strategies and practice the skill named in the lesson.

Lesson 7Finding Divisors

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 8Common Divisors

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 9How Do We Find the Greatest Common Divisor?

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 10Finding Various Divisors

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 11Let's Try Word Problems!

Students identify the important information in a word problem, choose a method, and explain the answer.

Unit 6: Relationships Among Fractions, Decimals, and Counting Numbers

Unit overview: Students understand the relationships between fractions, decimals and whole numbers.

Lesson 1Express Division as a Fraction

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Division as a Decimal vs. Division as a Fraction

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 3Practice Expressing Division as a Fraction

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 4How Many Times More?

Students count quantities, connect them to written numbers, and explain how many there are.

Lesson 5Express a Decimal Number as a Fraction (1)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 6Express a Decimal Number as a Fraction (2)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 7Ratio and Proportion

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 8Express Ratio as a Fraction

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 9Numbers in Different Forms

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 10Practice Expressing Numbers in Different Forms

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Unit 7: Addition and Subtraction of Fractions

Unit overview: Students learn how to add and subtract fractions with different denominators.

Lesson 1Comparing Fractions with Different Denominators (1)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Reducing and Simplifying Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 3Taking a Common Denominator

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 4Practicing Reducing and Simplifying Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 5Comparing Fractions with Different Denominators (2)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 6Addition of Fractions with Different Denominators

Students add and subtract fractions using models and number relationships.

Lesson 7Subtraction of Fractions with Different Denominators

Students add and subtract fractions using models and number relationships.

Lesson 8Simplifying Answers

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Lesson 9Practicing Addition and Subtraction of Fractions

Students add and subtract fractions using models and number relationships.

Lesson 10Addition and Subtraction of Fractions and Decimal Numbers

Students add and subtract fractions using models and number relationships.

Lesson 11Mixed Problems

Students use models and examples to understand equal parts and develop the fraction skill named in the lesson.

Unit 8: Multiplication of Fractions

Unit overview: Students learn how to multiply fractions.

Lesson 1Multipying Fractions by Counting Numbers

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Reducing Fraction Answers

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 3Practice Multiplication with Simplifying Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 4Word Problems of Multiplication

Students use multiplication to solve word problems and connect each calculation to the situation.

Lesson 5Size Comparison of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 6Multiplication of Fractions (1)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 7Multiplication of Fractions (2)

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 8Multiplication Practice of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 9Commutative and Associative Properties of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 10Distributive Property of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 11Multiplication Practice Problems

Students build multiplication understanding and practice using efficient strategies to find products.

Lesson 12Reciprocals of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Unit 9: Division of Fractions

Unit overview: Students learn how to divide fractions.

Lesson 1Dividing Counting Numbers by Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 2Dividing Counting Numbers by Decimal Numbers

Students connect decimals to place value and fractions, then read, write, and use decimal numbers.

Lesson 3Division of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 4Comparing Sizes of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 5Division Practice (1)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 6Division Practice (2)

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Lesson 7Can You Use Distributive Property for Division of Fractions?

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 8Mixing the Multiplication and Division of Fractions

Students learn how fractions describe equal parts of a whole or a set and practice representing them.

Lesson 9Division Practice Problems

Students build division understanding by making equal groups and using multiplication facts to find quotients.

Unit 10: Line and Point Symmetry

Unit overview: Students understand the concepts and properties of line symmetry and point symmetry.

Lesson 1Line Symmetry (1)

Students describe and classify shapes by examining their sides, corners, angles, and other properties.

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