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.

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.

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).

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.

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.

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.

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.

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).

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.