# Grade 5 - Math

## Math in 5th Grade

5th grade math is designed to prepare students for Pre-Algebra in middle school. While students still problem-solve in groups and work together frequently to tackle mathematical challenges, 5th grade math also readies students to work independently, persevere through challenges, and go beyond calculation to conceptualization of the math they are encountering. Utilizing Math in Focus, Engage New York, and various manipulatives and Place value charts, throughout the year in math, students will practice:

- Write numbers in word form, standard form, and expanded form
- Identify the value of each digit of a number
- Use a place value chart
- Compare numbers from one million to one thousandth
- Round numbers from the nearest hundred thousand to the nearest hundredth using a number line
- Read and write numbers in decimal and fractional form
- Compare and order decimals to the thousandth place
- Use rounding to estimate/check sums, differences, and products
- Use related multiplication facts to estimate quotients

- Multiply numbers by 10, 100, 1000 using patterns (demonstrate on a place value chart)
- Multiply numbers by Powers of 10
- Multiply a 2, 3, or 4 digit number by a 2 digit number
- Use rounding to estimate/check products
- Divide numbers by 10, 100, 1000 using patterns (demonstrate on a place value chart)
- Divide a 2, 3, or 4-digit number by 1 and 2 digit numbers
- Use order of operations to simplify expressions using parentheses, brackets, and braces
- Use efficient strategies to solve multi step problems using all operations

- Add two unlike fractions using least common denominator
- Subtract two unlike fractions using least common denominator
- Estimate sums and differences using benchmark fractions
- Understand and apply the relationships between fractions, mixed numbers, and division expressions
- Express fractions and division expressions as decimals
- Add and subtract mixed numbers with and without renaming
- Solve real world problems involving fractions and mixed numbers
- Create a Trail to Treasure Trove Map as a culminating unit project

- Finding a unit fraction of a whole number with modeling and algorithm
- Compare the size of the product to the size of the factors
- Finding a fraction of a whole number with modeling and algorithm
- Multiply proper fractions with modeling and algorithm
- Multiply improper fractions and mixed numbers
- Solve multi-step word problems using multiplication of fractions, mixed numbers, and whole numbers
- Divide a fraction by a whole number
- Divide a whole number by a unit fraction
- Find a fraction of measurement and solve word problems
- Complete a culminating project utilizing paper airplane design and building

- Multiply tenths and hundredths by a 1-digit whole number
- Multiply tenths and hundredths by powers of 10 and multiples of 10
- Divide tenths and hundredths by a 1-digit whole number
- Round quotients to the nearest tenth
- Divide tenths and hundredths by powers of 10 and by multiples of 10
- Convert from a larger metric unit to a smaller metric unit and vice versa
- Solve real world problems involving decimals

- Relate and compare percents, decimals and fractions
- Express fractions as percents
- Use different ways to find the number represented by a percent

- Find the area of a rectangle with fractional side lengths by counting square units and using a formula
- Identify the base given the height of a triangle and vice versa
- Find the area of a triangle given its base and height using a formula

- Read, write, and find equivalent ratios
- Interpret ratios in fraction form
- Write ratios in fraction form to find how many times one number or quantity is as large as another
- Express equivalent ratios
- Solve real world problems involving ratios and fractions

- Make line plots to represent data given in fraction units
- Make and interpret double bar graphs
- Read and plot points on a coordinate plane
- Graph an equation
- List and count all possible combinations using different strategies
- Find the experimental probability of an outcome
- Compare the results of an experiment with theoretical probability

- Measure angles on a protractor
- Understand and apply that the sum of angle measures on a line is 180 degrees and a point is 360 degrees
- Vertical angles have equal measure
- Complete a culminating “Dream Room” Project

- Classifying triangles
- Understand and apply the sum of the angles of all triangles is 180 degrees
- Properties of parallelogram, rhombus, and trapezoid

- Drawing cubes and rectangular prisms on dot paper and complete partially drawn figures
- Identify and classify prisms and pyramids
- Identify the solid figure that can be formed from a net
- Find the surface area of a prism
- Find the volume of cubes and rectangular prisms
- Find the volume of cubes and prisms using a formula