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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.

Multiplication and Division

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.

Expressions and Equations

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.

Measurement and Data 4

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.

Measurement and Data 2

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.

Measurement and Data 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).

Multiplication 3

Fractions can be challenging when taught in an abstract way. That’s why this unit invites learners to engage with fractions and mixed numbers in very visual and concrete ways using number lines, tape diagrams and area models. Students will learn different strategies to practice identifying and generating equivalent fractions.

Fractions 3

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.

Fractions 4

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.

Data 2

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.

Place Value 1

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.

Geometry 6

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.

Decimals

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.

Number Sense 4

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.

Number Sense 3

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.

Subtraction 4

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.

Addition 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.

Time 2

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.

Geometry 5

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.

Geometry 7

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.

Fractions 2

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.

Time 1

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.

Number Sense 2

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.

Number Sense 1

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.

Addition 3

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.

Addition 4

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.

Fractions 1

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.

Place Value 2

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.

Subtraction 3

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.

Geometry 4

Calculating the volume of rectangular prisms is a new skill that is introduced in 5th grade. Students will apply mathematical formulas to find the volume of different kinds of figures and also determine the volume of a figure composed of two connected rectangular prisms. Learners will also work with other kinds of measurement when they make larger or smaller versions of figures (to scale) and learn to convert measurements.

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