**Write and interpret numerical expressions.**

*Math.5.OA.A.1*: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Activity | Page |
---|---|

Test 9 | 13 |

Test 26 | 30 |

Test 27 | 31 |

Test 30 | 34 |

**Analyze patterns and relationships.**

*Math.5.OA.B.3*: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. *For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so*.

Activity | Page |
---|---|

Test 6 | 10 |

Test 28 | 32 |

Test 29 | 33 |

Test 45 | 49 |

**Understand the place value system.**

*Math.5.NBT.A.1*: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Activity | Page |
---|---|

Test 1 | 5 |

Test 2 | 6 |

Test 3 | 7 |

Test 4 | 8 |

Test 5 | 9 |

Test 32 | 36 |

Test 33 | 37 |

Test 40 | 44 |

Test 41 | 45 |

**Understand the place value system.**

*Math.5.NBT.A.4*: Use place value understanding to round decimals to any place.

Activity | Page |
---|---|

Test 44 | 48 |

**Perform operations with multi-digit whole numbers and with decimals to hundredths.**

*Math.5.NBT.B.7*: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Activity | Page |
---|---|

Test 9 | 13 |

Test 10 | 14 |

Test 13 | 17 |

Test 45 | 49 |

Test 46 | 50 |

Test 48 | 52 |

Test 49 | 53 |

Test 50 | 54 |

Test 51 | 55 |

Test 52 | 56 |

Test 53 | 57 |

Test 81 | 85 |

Test 82 | 86 |

Test 83 | 87 |

Test 87 | 91 |

**Perform operations with multi-digit whole numbers and with decimals to hundredths.**

*Math.5.NBT.B.5*: Fluently multiply multi-digit whole numbers using the standard algorithm.

Activity | Page |
---|---|

Test 14 | 18 |

Test 15 | 19 |

Test 16 | 20 |

Test 17 | 21 |

Test 18 | 22 |

Test 19 | 23 |

Test 26 | 30 |

Test 30 | 34 |

Test 31 | 35 |

Test 84 | 88 |

Test 85 | 89 |

Test 86 | 90 |

Test 99 | 103 |

Test 100 | 104 |

**Perform operations with multi-digit whole numbers and with decimals to hundredths.**

*Math.5.NBT.B.6*: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Activity | Page |
---|---|

Test 20 | 24 |

Test 21 | 25 |

Test 22 | 26 |

Test 23 | 27 |

Test 24 | 28 |

Test 25 | 29 |

Test 26 | 30 |

Test 43 | 47 |

Test 87 | 91 |

Test 98 | 102 |

Test 100 | 104 |

**Use equivalent fractions as a strategy to add and subtract fractions.**

*Math.5.NF.A.1*: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. *For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)*

Activity | Page |
---|---|

Test 39 | 43 |

**Apply and extend previous understandings of multiplication and division to multiply and divide fractions.**

*Math.5.NF.B.4*: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Activity | Page |
---|---|

Test 34 | 38 |

**Apply and extend previous understandings of multiplication and division to multiply and divide fractions.**

*Math.5.NF.B.6*: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Activity | Page |
---|---|

Test 36 | 40 |

**Apply and extend previous understandings of multiplication and division to multiply and divide fractions.**

*Math.5.NF.B.3*: Interpret a fraction as division of the numerator by the denominator (*a*/*b* = *a* : *b*). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. *For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?*

Activity | Page |
---|---|

Test 47 | 51 |

**Convert like measurement units within a given measurement system.**

*Math.5.MD.A.1*: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Activity | Page |
---|---|

Test 10 | 14 |

Test 79 | 83 |

Test 80 | 84 |

Test 88 | 92 |

Test 89 | 93 |

**Represent and interpret data.**

*Math.5.MD.B.2*: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. *For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally*.

Activity | Page |
---|---|

Test 48 | 52 |

Test 93 | 97 |

Test 96 | 99 |

**Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.**

*Math.5.MD.C.5b*: Apply the formulas *V* = *l* × *w* × *h* and *V* = *b* × *h* for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Activity | Page |
---|---|

Test 90 | 94 |

**Graph points on the coordinate plane to solve real-world and mathematical problems.**

*Math.5.G.A.2*: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Activity | Page |
---|---|

Test 70 | 74 |

Test 71 | 75 |

Test 73 | 77 |

**Classify two-dimensional figures into categories based on their properties.**

*Math.5.G.B.4*: Classify two-dimensional figures in a hierarchy based on properties.

Activity | Page |
---|---|

Test 54 | 58 |

Test 62 | 66 |

Test 69 | 73 |

Common Core State Standards and Expectations© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.