# Guided Math Lessons

Learn, practice, and play with these guided math lessons that reinforce key skills.

L1

### Numbers 0 to 10 Level 1

In this first guided lesson on numbers 0 to 10, kids will be taught rote count sequence and numeral recognition. The lesson has been designed to introduce numbers in a scaffolded way, by first starting with a slow-paced numeral recognition exercise and progressing to a faster pace as the lesson continues. This technique helps build a stronger foundation of math skills.

#### skills in this lesson

Identifying Numbers 0-10

Counting Numbers 1-10

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L2

### Counting 1

Teach preschoolers the skills necessary for learning how to count with this guided lesson. Kids learn one-to-one correspondence and how numerals relate to quantity. They also learn how to count out a given number of objects using both manipulatives and one-to-one correspondence. With scaffolded learning techniques that help kids build skills, as well as opportunites to practice these skills within a narrative, this lesson has counting covered.

#### skills in this lesson

Counting Numbers 1-10

Identifying Numbers 0-10

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L3

### Numbers 11 to 20 Level 1

In this introduction to numbers 0-20, kids practice what they've already learned about the numbers 0-10 and build new skills in counting 11-20. Not only will preschoolers practice recognizing these numerals, but they will also be given rote count to 20 exercises to reinforce skills. Approaching numbers in a scaffolded way such as this helps build math fluency and boosts confidence.

#### skills in this lesson

Counting Two-Digit Numbers

Identifying Numbers 11-20

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L4

### Sorting

Sorting and classifying is a key math skill for preschoolers to master before moving on to higher-level concepts. This guided lesson teaches kids to sort objects and identify what doesn't belong. Each exercise aims to engage preschoolers in order to build a positive relationship to learning and make early math a joyful occasion. When finished with the lesson, check out our sorting and classifying worksheets.

#### skills in this lesson

Sorting and Categorizing

Puzzles and Brain Teasers

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L5

### Patterns

This guided lesson on patterns teaches preschoolers how to recognize common patterns such as AB and ABC. It will also challenge kids to duplicate and extend simple patterns using concrete objects. This lesson gives kids an introduction to patterns, an important building block for problem solving and algebraic thinking. When done with the lesson, browse the accompanying pattern worksheets to extend learning.

#### skills in this lesson

Identify & Continue Shape Patterns

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L6

### Geometry 1

Geometry at the preschool level involves identifying shapes and learning positional words. This guided lesson goes over these key concepts and vocabulary words, including top, bottom, up, down, in front of, behind, over, under and next to. Because geometry is one of the more visual math disciplines, it offers a chance for kids to build a fun, vibrant association with the subject of math.

#### skills in this lesson

Flat Shapes

Comparing Shapes

Decomposing Shapes

Puzzles and Brain Teasers

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L7

### Measurement and Data 1

This introduction to measurement offers guided lessons in measurement vocabulary, including more, less, small, big, short, tall, empty, full, light, and heavy. Kids will learn how to use objects, such as hands or paper clips, to measure something. They will also learn to measure two people or objects, and compare them with a third person or object. These exercises build preschoolers' foundational understanding of measurement and data.

#### skills in this lesson

Heavier or Lighter Than

Taller or Shorter Than

More or Less

Puzzles and Brain Teasers

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L8

### Addition and Subtraction 1

Understanding that addition means putting together and subtraction means taking away is an important building block for young mathematicians. This guided lessons helps preschoolers master this concept, focusing on addition and subtraction within 5. Having a firm grasp of addition and subtraction is crucial for math fluency. Don't forget to check out the addition and subtraction printables that help to extend learning after the lesson is over.

#### skills in this lesson

Addition and Patterns of 1 More

Counting Numbers 1-10

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L9

### Numbers 0 to 10 Level 2

Teach kindergarteners all about the numbers 0 to 10 with this guided lesson which focuses not only on recognizing numbers, but beginning to understand their value. Each exercise aims to illustrate the values behind each number in an engaging way, making early math a fun occasion. If you wish to extend the learning after the lesson is over, check out our accompanying numbers worksheets.

#### skills in this lesson

Puzzles and Brain Teasers

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L10

### Numbers 11 to 20 Level 2

Kindergarteners build upon their number skills in this guided lesson which focuses on the numbers 11 to 20. Not only will kids learn to identify numbers, but also begin to associate them with certain values. It's an important concept for young mathematicians that requires lots of practice. You can give kids even more chances to extend learning with the accompnying numbers printables.

#### skills in this lesson

Counting Numbers 11-20

Identifying Numbers 11-20

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L11

### Counting 2

In this lesson, kindergarteners will be given the chance to focus on their counting skills with engaging exercises and guided instruction. Just as identifying the letters of the alphabet is a precurser to reading, so is counting to developing math fluency. Soon, your child will learn that the numbers they are counting have associated values, so the more practice they can get with counting the better.

#### skills in this lesson

Counting Numbers 11-20

Flat Shapes

Puzzles and Brain Teasers

Decomposing Shapes

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L12

### Comparing Numbers 1

The ability to compare numbers with ease is crucial to understanding the relationship between numbers, also called number sense. The abstract nature of number sense makes extra practice crucial. This guided lesson helps kindergarteners to learn this skill with targeted instruction and engaging exercises. Further opportunities for practice can be found in the comparing numbers worksheets suggested to go along with this lesson.

#### skills in this lesson

Taller or Shorter Than

Heavier or Lighter Than

Sorting and Categorizing

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L13

### Sorting and Classifying

In kindergarten, kids will learn all about sorting and classifying. This skill is a building block for math and science concepts to come in the later grades. Knowing how to group numbers, for example, builds a key understanding of numerical concepts. This lesson focuses on sorting and classifying skills for kindergarteners, and comes complete with suggested worksheets for extended learning.

#### skills in this lesson

Sorting and Categorizing

Puzzles and Brain Teasers

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L14

### Building Numbers

Knowing how to build numbers is an important lesson for kindergarteners just getting their feet wet with counting and numbers. These guided exercises can give kids a deeper understanding of number sense, numerical order, and values. Kindergarteners will begin to associate values with numbers and comprehend the concepts of greater than and less than, building upon skills they will need in the later grades.

#### skills in this lesson

Addition within 10

Counting Two-Digit Numbers

Counting Numbers 11-20

Identifying Numbers 11-20

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L15

### Addition 1

Learning to add single-digit numbers is a highlight of the kindergarten math curriculum. You can support addition fluency with this guided lesson that takes kindergarteners through an understanding of values. Kids will learn with focused instruction and practice that by putting numbers together, they get a new number. When the lesson is over, kids can continue practicing addition with our accompanying worksheets.

#### skills in this lesson

Addition and Patterns of 1 More

Addition within 10

Addition within 5

Sorting and Categorizing

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L16

### Geometry 2

Geometry in kindergarten involves the basics of measurement, shapes, and spatial reasoning. Designed and reviewed by teachers, this guided lesson gives kids an overview of these concepts with clear instruction and engaging exercises. Geometry practice in kindergarten can help bolster the skills needed for higher-level concepts in the later grades. You can give kids even more practice by downloading and printing the accompanying worksheets.

#### skills in this lesson

Flat Shapes

Identify & Continue Shape Patterns

Solid Shapes

Decomposing Shapes

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L17

### Subtraction 1

Once kindergarteners understand the concept of more and less, they will move on to basic subtraction with single-digit numbers. This can be a tricky concept for kids to master. You can help this transition with these exercises that aim to give kids targeted practice in subtraction. Once the guided lesson is finished, you can support learning further with the accompanying subtraction worksheets.

#### skills in this lesson

Subtraction within 10

Subtraction and Patterns of 1 Less

Puzzles and Brain Teasers

Subtraction within 5

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L18

### Number Sense 1

First grade mathematicians will be working this year on number sense in order to improve their understanding of the relationship between numbers and their ability to do mental math. This guided lesson will help strengthen this important skill with targeted instruction and plenty of real-world practice problems. Once the lesson is finished, you can extend learning with the suggested number sense worksheets.

#### skills in this lesson

Skip Counting by 5s

Skip Counting by 2s

Skip Counting by 10s

Counting Two-Digit Numbers

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L19

### Place Value 1

This year, first graders will be introduced to place value and our base 10 number system, usually by starting with 2-digit numbers (100 or less). This guided lesson helps introduce place value to first graders through instruction and examples targeted to this skill. If your child finishes the lesson and needs more practice with place value, download and print the accompanying worksheets suggested by our curriculum team.

#### skills in this lesson

Writing Two-Digit Numbers

Place Value and Two Digit Numbers

Identifying Two-Digit Numbers

Comparing Two-Digit Numbers

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L20

### Place Value 2

This lesson is a continuation of place value practice, and offers more instruction on identifying tens and ones in 2-digit numbers. Once first graders are able to quickly identify place value they are then able to understand on a deeper level what larger numbers actually mean. This is crucial for the math fluency that will support higher-level concepts in the later grades.

#### skills in this lesson

Skip Counting by 2s

Skip Counting by 5s

Skip Counting by 10s

Place Value and Two Digit Numbers

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L21

### Comparing Numbers 2

First graders' fluidity with comparing numbers is an important building block for the higher-level math concepts to come in the later grades. You can give first graders a leg up with this lesson, featuring guided instruction and practice problems in comparing numbers. Once kids get through this lesson, you can download and print the suggested comparing numbers worksheets in order to provide even more opprotunities for practice.

#### skills in this lesson

Comparing Two-Digit Numbers

Skip Counting by 10s

Adding Multiples of 10

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L22

### Addition 2

Flexibility and fluidity with addition is an important part of the first grade math curriculum, but it takes lots of practice to gain confidence with this skill. This lesson in addition offers guided practice which aims to increase mental math and fluency with addition. When your child finishes this lesson, you can continue the addition practice by downloading and printing the accompanying addition worksheets.

#### skills in this lesson

Addition within 10

Addition and Counting On

Addition Word Problems

Adding Multiples of 10

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L23

### Subtraction 2

Fluency with subtraction is one of the foundations of the first grade math curriculum. This guided lesson on subtraction was designed by our team of curriculum experts to reinforce first graders' understanding of subtraction, as well as boost their confidence with this operation. When finished with the lesson, kids can find extra opportunities to practice subtraction with the accompanying subtraction worksheets.

#### skills in this lesson

Subtraction Word Problems

Subtraction and Missing Factors

Subtraction and Counting Back

Addition within 10

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L24

### Measurement and Data 2

Measurement and data in first grade includes such important concepts as comparing the length and weight of two objects using a third object. This guided lesson, designed by curriculum experts, takes students on an exploration of these measurement and data concepts. Once through with the lesson, kids can gain extra practice with measurement and data with the accompanying worksheets.

#### skills in this lesson

Measuring Length with Repeated Units

Ordering Lengths

Comparing Length Using Measurement Tools

Comparing Length Using Measurement Tools

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L25

### Geometry 3

First grade geometry covers basic shapes, as well as an introduction to 3D shapes. Our team of curriculum experts designed the following guided lesson, which provides an overview of first grade geometric concepts and gives kids lots of opportunities for practice. If your child needs more support in a different format, check out the suggested first grade geometry worksheets.

#### skills in this lesson

Trapezoids

Rectangles

Triangles

Half-Circles

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L26

### Time 1

In first grade, kids will learn how to tell time using both analog and digital clocks, a skill that can be tricky to master. Give kids lots of extra practice with this guided lesson in first grade time, designed by our team of curriculum experts and teachers. If kids need extra support in a printable format, check out the accompanying time worksheets.

#### skills in this lesson

Time to the Hour

Time to the Half-Hour

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L27

### Addition 3

This year, second graders will be introduced to the concept of multiplication using repeated addition. For example, they will learn that 5+5+5+5+5 is the same thing as saying 5x5. This guided lesson will use manipulatives to teach kids about repeated addition and give them plenty of opportunities to practice addition within 100. Download and print the accompanying worksheets for even more addition practice.

#### skills in this lesson

Multiplication within 25 and Rectangular Arrays

Multiplication within 25 and Rectangular Arrays

Addition Facts

Two-Digit Addition On a Number Line

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L28

### Subtraction 3

Subtraction fluency within 20 is the focus of this guided lesson for second graders. Kids will be tasked with mental subtraction, as well as with using manipulatives and drawings to add and subtract larger numbers. Word problems will help to round out the lesson, as kids follow the step-by-step method of solving subtraction word problems. For even more practice in this skill, check out our subtraction worksheets.

#### skills in this lesson

Two-Digit Subtraction on a Number Line

Subtraction Facts

Subtracting 10 from Multiples of 10

Subtraction 100 from Multiples of 100

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L29

### Place Value 3

Learning three-digit numbers can be a challenging part of the math curriculum for many second graders. This lesson helps to support second graders' understanding of larger numbers by teaching them place value. Kids will compare three-digit numbers and learn to count up to 1000 with guided instruction. When the lesson is finished, consider printing out the corresponding worksheets recommended by our curriculum designers.

#### skills in this lesson

Place Value and the Hundreds Place

Identifying Three-Digit Numbers

Writing Three-Digit Numbers

Ordering Three-Digit Numbers

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L30

### Geometry 4

This guided geometry lesson takes second graders on an exploration of 2D and 3D shapes. Kids will learn how to sort shapes, as well as partition them into halves, quarters and thirds. Tangrams are also featured within the exercise in order to give kids practical ways of practicing their new geometry skills. For more printable practice, try the geometry worksheets recommended by our curriculum advisors to accompany this lesson.

#### skills in this lesson

3D Shapes and Faces

3D Shapes and Edges and Vertices

Equal Shares and Halves

Equal Shares and Thirds

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L31

### Time 2

Telling time on an analog clock can be tricky business for young learners. This guided lesson on time helps second graders improve their ability to tell time to the hour, half-hour and quarter hour. Targeted instruction and practical exercises give kids the practice they need to master this important skill. For even more practice opportunities, download and print the time worksheets that correspond to this lesson.

#### skills in this lesson

Time to the Nearest Five Minutes

Time to the Quarter-Hour

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L32

### Measurement and Data 3

Comparison is one of the most crucial math skills second graders learn, because it can be applied to so many other disciplines across the elementary school curriculum. In this measurement and data lesson, kids will work on object comparison and graphing. The exercises ask kids to list objects in size order, estimate length, note differences in length, and make bar graphs.

#### skills in this lesson

Measuring Using a Variety of Units

Comparing Length Using Measurement Tools

Comparing Length Using Measurement Tools

Measuring with Rulers

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L33

### Money

As second graders deepen their understanding of value, money will take an important place in the math curriculum. You can help teach kids the value of coins with this guided money lesson, designed by our team of curriculum experts. The lesson features targeted instruction and helpful exercises that provide practical real-life examples for kids to use in practicing this skill.

#### skills in this lesson

Adding Money

Subtracting Money

Pennies

Dimes

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L34

### Addition 4

In this lesson, kids are given different strategies for finding the sum of two numbers. Addition strategies such as these help third graders gain a deeper understanding of, and fluency with, this operation. The lesson features guided instruction and plenty of practice problems to apply what is being learned. For even more practice, try our third grade addition worksheets recommended to accompany this lesson.

#### skills in this lesson

Addition within 20

Two-Digit Addition and Regrouping

Three-Digit Addition On a Number Line

Three-Digit Addition and Regrouping Numbers

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L35

### Subtraction 4

Teaching kids additional subtraction strategies is one way to boost math fluency and comprehension. This guided lesson, designed by our team of curriculum experts, teaches various strategies to find the difference, and provides exercises that help kids to practice these strategies on their own. For more opportunities to practice, try downloading and printing the third grade subtraction worksheets recommended by our curriculum team.

#### skills in this lesson

Two-Digit Subtraction and Regrouping

Three-Digit Subtraction on a Number Line

Estimating to Subtract

Three-Digit Subtraction and Regrouping Numbers

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L36

### Number Sense 2

Teaching number sense gives kids a deeper understanding of our number system, which will in turn prepare them for the algebraic equations to come in the upper elementary grades and middle school. You can create a strong foundational knowledge of number sense with this guided lesson, which provides third graders with targeted instruction and exercises designed by our team of curriculum experts.

#### skills in this lesson

Rounding to the Nearest 10

Rounding Three-Digit Numbers to the Nearest 100

Rounding Three-Digit Numbers to the Nearest 10

Rounding Multi-Digit Numbers to the Nearest 1000

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L37

### Multiplication 1

Third grade is the year of multiplication. Though it was most likely introduced to kids in second grade, third grade is when kids are tasked with mastering their times tables and developing a stronger understanding of this key operation. This guided lesson in understanding multiplication can help give third graders a leg up. For even more practice, consider downloading the recommended multiplication worksheets that accompany the lesson.

#### skills in this lesson

One-Digit Multiplication on a Number Line

Multiplication and Area Models

Relating Area to Addition and Multiplication

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L38

### Multiplication 2

This guided lesson builds upon third graders' understanding of multiplication in order to further develop fluency with this operation. The lesson first reinforces the various strategies for doing multiplication (for example, repeated addition), then teaches kids to apply those strategies within practical exercises. Designed by our team of teachers and curriculum experts, the goal is to provide numerous ways to conceptualize multiplication problems.

#### skills in this lesson

Multiplication Facts

Multiplication and the Associative Property

One-Digit Multiplication and Two-Step Word Problems

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L39

### Fractions 1

Fractions can be a tricky concept for third graders to master, but this guided lesson can help kids get there. It provides focused instruction designed by teachers and curriculum experts that is specific to the third grade curriculum. Exercises and practical examples help kids to put fractions in context with real-world math problems. When finished with the lesson, check out our fractions worksheets for more practice.

#### skills in this lesson

Fractions on a Number Line

Whole Numbers as Fractions

Fractions and Money

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L40

### Measurement 1

This guided lesson takes kids on an exploration of the world of measurement, from weight to volume to recording data. Commonly, third graders have a difficult time applying math skills to real-world problems, but this lesson, designed by our curriculum experts, will help provide important context for measurement skills. For even more printable practice, consider downloading and printing the recommended measurement worksheets.

#### skills in this lesson

Fractions and Time

Addition Word Problems and Elapsed Time

Measuring in Inches

Measurement and Capacity

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L41

### Geometry 5

Geometry in third grade introduces kids to the idea that shapes have different categories (rectangles, rhombuses, etc..) attributes (four-sided, etc...) and areas of different values. This lesson, designed by our curriculum experts, provides the guided instruction and practice that third graders need to conceptualize shapes in a deeper way. For more practice, download and print the third grade geometry worksheets recommended as part of this lesson.

#### skills in this lesson

2D Shapes and Fractions with Equal Areas

2D Shapes with Shared Attributes

Perimeter and Addition

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L42

### Data 1

Learning how to represent numerical information is a key part of the third grade math curriculum. This lesson in data provides guided instruction designed by our team of curriculum experts and teachers to present this concept in an engaging way. Not only that, but helpful exercises help kids to see the practical applicaton of these skills in the real world.

#### skills in this lesson

Collecting and Organizing Data

Collecting and Organizing Data

Probability and Statistics

Scaled Picture Graphs

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L43

### Geometry 6

Fourth graders will discover the building blocks of geometry in this unit: points, lines, line segments and rays. Students will explore the properties of different shapes, including symmetry, parallel and perpendicular lines, and 900 angles. Students will apply their understanding as they learn to sort shapes based on these properties.

#### skills in this lesson

Lines, Line Segments, and Rays

Classifying Shapes

Lines of Symmetry

Area of a Rectangle

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L44

### Number Sense 3

Understanding how our ten number system works enables students to see interesting and useful patterns and relationships in these math activities. These patterns allow students to develop more efficient mental math strategies when multiplying by multiples of 10 or 100. Students will also review rounding and apply this skill to larger numbers - up to 100,000’s place.

#### skills in this lesson

Prime and Composite Numbers

Place Value up to Thousand's Place

Comparing Multi-Digit Numbers

Place Value and Multiplicative Comparisons

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L45

### Multiplication and Division

There are many strategies that can be employed to multiply and divide larger numbers. Students will deepen their conceptual knowledge of multiplication and division, starting with visual models like arrays and diagrams.Then students will then move to more abstract calculation methods like partial products, the distributive property and standard algorithms.

#### skills in this lesson

Multi-Digit Multiplication and Partial Products

Multi-Digit Multiplication and the Distributive Property

Multiplication and the Distributive Property

Division without Remainders

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L46

### Fractions 2

Students will have a basic understanding of fractions coming into 4th grade. In this unit students will get to explore new ways of representing fractions, including in a set of data, on number lines and using area models. Students will use their knowledge of fractions to compare fractions with like and unlike denominators.

#### skills in this lesson

Fractions on a Number Line

Adding Fractions with the Same Denominator

Fractions

Subtracting Fractions with the Same Denominator

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L47

### Measurement and Data 4

Representing data on graphs makes math visual and involves some creativity and design. Plotting data using fractional units takes their learning one step further. Also in this unit, students learn to measure using both traditional units (like inches, feet and yards) and metric units, and how to convert measurements within each system. The concept of measurement gets two dimensional when students explore measuring and working with angles.

#### skills in this lesson

Collecting and Organizing Data

Collecting and Organizing Data

Probability and Statistics

Line Plots and Unit Fractions

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L48

### Multiplication 3

Multiplication is essentially repeated addition, or growing numbers by doubling, tripling, quadrupling, and so on. This unit presents mental models and strategies that help students learn and review the concept of multiplication. Students explore multiplication using arrays, partial products, doubling methods and the standard algorithm to solve numerical and word problems. Students will multiply whole numbers and simple decimals by base ten exponents (i.e. .3 x 103).

#### skills in this lesson

Multi-Digit Multiplication and Doubling

Multi-Digit Multiplication and the Standard Algorithm

Multi-Digit Multiplication and Word Problems

Multiplying Decimal Numbers to the Tenths Place

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L49

### Division 2

In this 5th grade division unit, students will take their understanding to the next level by applying division skills with multi-digit numbers. Students will also begin to explore division with decimals and practice using estimation to check the reasonableness of their answers. Last, students will use their knowledge of the base ten number system to divide decimals by base ten exponents (i.e. .4 ➗ 104)

#### skills in this lesson

Division and Powers of 10

Division with Two-Digit Divisors

Division with Multi-Digit Dividends

Decimal Division and Estimation

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L50

### Geometry 7

This geometry unit engages students in analytical thinking as they learn about the properties of two dimensional figures and consider the different ways they can be sorted based on those properties. Students also learn to plot points, lines and shapes on a coordinate graph.

#### skills in this lesson

Graphing Points on a Coordinate Plane

Properties of Triangles

Properties of Quadrilaterals

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L51

### Number Sense 4

Understanding our base-ten number system is the foundation for many skills to come. In this unit, students will add on to their understanding of place value and extend to the millions! They will also learn how to read, write and order larger numbers, in addition to decimals to the tenths and hundredths.

#### skills in this lesson

Place Value up to Millions Place

Decimal Numbers and the Tenths Place

Decimal Numbers and the Hundredths Place

Decimal Numbers and the Thousandths Place

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L52

### Decimals

In this unit, students will build on their understanding of decimals by working with numbers that include decimals in tenths, hundredths and thousandths place. Adding, subtracting and rounding with decimals will enable them to apply the strategies in new ways and enhance their understanding of the base-ten number system.

#### skills in this lesson

Addition with Decimal Numbers to the Tenths Place

Addition with Decimal Numbers to the Hundredths Place

Addition with Decimal Numbers to the Thousandths

Subtraction with Decimal Numbers to the Tenths Place

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L53

### Expressions and Equations

If you think about math as a language, expressions and equations are the sentences. This unit brings students into the world of “math language”, learning how to write complex expressions in different forms and convert numbers in one form to another (i.e.decimals to fractions). Last, students will apply the order of operations to interpret and solve simple algebraic equations.

#### skills in this lesson

Order of Operations and Use of Parentheses

Understanding Expressions and Equations

Solving Basic Algebraic Equations

Convert Decimals to Fractions

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L54

### Fractions 4

Students are going to take a deeper dive into fractions in this unit! Learners will apply previous understanding of finding equivalent fractions, and converting between fractions and mixed numbers to work with fractions in more complex ways. Students will continue to use visual models to learn and practice adding, subtracting, multiplying and dividing fractions.

#### skills in this lesson

Subtracting Fractions with the Same Denominator

Addition and Subtraction of Mixed Numbers

Multi-Digit Multiplication and Scaling

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L55

### Data 2

Understanding data and graphs is a critical skill that we use on a regular basis to read news articles, reports and other media to interpret information. In this unit, students investigate data collection, data organization and visual representation in different kinds of graphics (i.e. line plots, pie charts). Learners also apply concepts of probability and statistics to analyze data.

#### skills in this lesson

Collecting and Organizing Data

Collecting and Organizing Data

Line Plots and Fractional Measurements

Probability and Statistics

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