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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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.

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).