## 5th Grade Math

## Chapter 1 - Whole NumbersConcepts students learned and practiced throughout chapter 1.
- Numbers to 10,000,000 - Count by ten thousands - Count by hundred thousands - Write numbers in standard form and word form - Read numbers to 10,000,000 by periods - Place Value - Each digit of a number has a place value - Numbers to 10,000,000 can be written in expanded form - Comparing Numbers to 10,000,000 - Compare number using a place-value chart - Compare numbers greater than 1,000,000 - Find rules to complete number patterns - Rounding and Estimating - Round number to the greater thousand - Use rounding to estimate sums, differences, and products - Use compatible numbers to estimate quotients |

## Chapter 2 - Whole Number Multiplication and DivisionConcepts students will be learning and practicing throughout chapter 2.
- Using a Calculator - Use your calculator to add, subtract, multiply, and divide - Multiplying by Tens, hundreds, or Thousands - Look for a pattern in the product when 10, 100, or 1000 is a factor - Break apart a number to help you multiply by tens, hundreds, or thousands - Round numbers to the nearest ten, hundred, or thousand to estimate products - Multiplying by 2-Digit Numbers - Multiply a 2-digit, 3-digit, or 4-digit number by tens - Multiply a 2-digit, 3-digit, or 4-digit number by a 2-digit number - Dividing by Tens, hundreds, or Thousands - Look for patterns when dividing by 10, 100, 1000. - Break apart a number to help you divide by tens, hundreds, or thousands - Round numbers to estimate quotients - Dividing by 2-Digit Numbers - Divide a 2-digit, 3-digit, or 4-digit number by a 2-digit number - Order of Operations - Carry out any operations in parentheses first. - Multiply and divide working from left to right - Add and subtract working from left to right - Real-World Problems: Multiplication and Division - The remainder can be part of the answer - Increase the quotient when it includes the remainder - Some problems require two steps to solve and some require more than two steps to solve - Read a table to find the information for a question - Solve problems by drawing bar models - Some problems can be solved using other strategies |

## Chapter 3 - Fractions and Mixed NumbersAdding Unlike Fractions
- Add two unlike fractions where one denominator is not a multiple of the other - Estimate sums of fractions Subtracting Unlike Fractions - Subtract two unlike fractions where one denominator is not a multiple of the other - Estimate differences between fractions Fractions, Mixed Numbers, and Division Expressions - Understand and apply the relationships between fractions, mixed numbers, and division expressions Adding Mixed Numbers - Add mixed numbers with or without renaming - Estimate sums of mixed numbers Subtracting Mixed Numbers - Subtract mixed numbers with or without renaming - Estimate differences between mixed numbers Real - World Problems: Fractions and Mixed Numbers - Solve real-world problems involving fractions and mixed numbers |

## Chapter 8 - DecimalsUnderstanding Thousandths
- Read and write thousandths in decimals and fractional forms - Represent and interpret thousandths in models or in place-value charts - Write a fraction with denominator 1,000 as a decimal Comparing and Rounding Decimals - Compare and order decimals to 3 decimal places - Round decimals to the nearest hundredth Rewriting Decimals as Fractions and Mixed Numbers - Rewrite in simplest form. |

## Chapter 9 - Multiply and Dividing DecimalsMultiplying Decimals
- Multiply tenths and hundredths by 1-digit whole number Multiply by Tens, Hundreds, and Thousands - Multiply tenths and hundredths by 10, 100, and 1,000 - Multiply tenths and hundredths by multiples of 10, 100, and 1,000 Dividing Decimals - Divide tenths and hundredths by 1-digit whole number - Round quotients to the nearest tenth or hundredth Divide by Tens, Hundreds, and Thousands - Divide tenths and hundredths by 10, 100, and 1,000 - Divide tenths and hundredths by multiples of 10, 100, and 1,000 Estimating Decimals - Estimate decimal sums, differences, products, and quotients Real-World Problems: Decimals - Solve real-world problems involving decimals |

## Chapter 11 - Graphs and ProbabilityMaking and Interpreting Double Bar Graphs
- Make and Interpret a Double Bar Graph Graphing an Equation - Read Points on a coordinate grid - Plot points on a coordinate grid - Graph an equation Combinations - List and count all possible combinations - Draw a tree diagram to show all possible combinations - Use multiplication to find the number of combinations Theoretical Probability and Experimental Probability - Find the experimental probability of an outcome - COmpare the results of an experiment with the theoretical probability |

## Chapter 12 - AnglesAngles on a Line
- Understand and apply the property that the sum of angle measures on a line is 180 degrees Angles on a Point - Understand and apply the property that the sum of angle measures at a point is 360 degrees Vertical Angles - Understand and apply the property that vertical angles have equal measures |

## Chapter 13 - Properties of Triangles and Four-Sided FiguresClassifying Triangles
- Classify triangles by their side lengths and angle measures Measures of Angles of a Triangle - Understand and apply that the sum of the angle measures of a triangle is 180 degrees Right, Isosceles, and Equilateral Triangles - Understand and apply the properties of right, isosceles, and equilateral triangles Triangle Inequalities - Understand that the sum of the length of any two sides of a triangle is greater than the length of the third side Parallelogram, Rhombus, and Trapezoid - Understand and apply the properties of parallelogram, rhombus, and trapezoid |

## Chapter 15 - Surface Area and VolumeBuilding Solids Using Unit Cubes
- Build solids using unit cubes Drawing Cubes and Rectangular Prisms - Draw a cube and a rectangular prism on dot paper - Complete a partially drawn cube and rectangular prism on dot paper. Nets and Surface Area - Find the surface area of a prism by adding the area of each face Understanding and Measuring Volume - Find volume of cubes and rectangular prisms - Find the volume of a solid constructed from unit cubes - Compare volumes of cube, rectangular prisms, and other objects Volume of a Rectangular Prism and Liquid - Use a formula to find volume of a rectangular prism - Find the capacity of a rectangular container - Solve word problems involving volume of rectangular prisms and liquids |