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### My Books

Grade | Order | Title | Strand | Description |
---|---|---|---|---|

6 ▽▷ | ||||

1 | Models You Can Count On | Number | Developing a conceptual sense of ratio; estimating and calculating the effects of proportional enlargements or reductions; using scale lines; organizing data into ratio tables and calculating ratios; writing fractions as alternative expressions for equivalent situations. | |

2 | Expressions and Formulas | Algebra | Applying order of operations when writing and solving a formula; interpreting relationships displayed in formulas, tables, and graphs; identifying equivalent expressions and dependent and independent variables. | |

3 | Fraction Times | Number | Using fractions to describe the relative magnitude of quantities; ordering fractions; understanding and performing addition, subtraction, multiplication, and division with fractions using models. | |

4 | Operations | Algebra | Calculating with positive and negative numbers; finding absolute value; graphing inequalities; plotting coordinate pairs and finding distance using absolute value. | |

5 | Comparing Quantities | Algebra | Organizing and translating information from stories using symbols, charts, tables, and equations; using informal strategies to solve systems of equations. | |

6 | Facts and Factors | Number | Exploring prime numbers, prime factorization, and divisibility rules; analyzing algorithms for multiplication and division; discovering and relating whole numbers, integers, rational, and irrational numbers by looking at the results of basic operations and their inverses. | |

7 | Reallotment | Geometry and Measurement | Estimating and measuring regular and irregular areas; discovering links between area, perimeter, surface area, and volume; using customary and metric units. | |

8 | Dealing with Data | Data Analysis and Probability | Exploring and analyzing measures of center (mean, median, mode, range, maximum, minimum); interpreting data displays including stem-and-leaf plots, scatterplots, box plots; and investigating sampling techniques. | |

7 ▽▷ | ||||

1 | More or Less | Number | Using proportional reasoning and math models to solve percent problems; relating percent increase and decrease to daily life while connecting fractions, decimals, and percents; discovering the effects of decimal multiplication. | |

2 | Ratios and Rates | Number | Relating ratios to fractions, decimals, and percents; understanding the notions of rates, scale factor, and ratio as linear functions; graphing unit rate with special attention to the points (0,0) and (1,r). | |

3 | Go Rational! | Number | Operating with rational numbers in both fraction and decimal form, including comparing, adding, subtracting, multiplying, and dividing using a variety of strategies. Applying familiar number models to support understanding. | |

4 | Building Formulas | Algebra | Applying recursive and direct formulas to tables; relating expressions in equivalent forms; solving problems in the form px + q = r, p(x+ q) = r, px + q > r, and px + q < r. | |

5 | Triangles and Beyond | Geometry and Measurement | Exploring the relationships of the sides and angles of triangles as well as the properties of parallel lines and quadrilaterals; constructing triangles; using transformations; using the formulas for area and circumference of a circle to solve problems. | |

6 | Packages and Polygons | Geometry and Measurement | Recognizing geometric shapes in objects; constructing models; slicing three-dimensional figures; solving problems involving area, volume, and surface area. | |

7 | Second Chance | Data Analysis and Probability | Determining chance; comparing theoretical and experimental probabilities; interpreting tables to find related events; drawing inferences from random sampling; comparing two populations. | |

8 ▽▷ | ||||

1 | Revisiting Numbers | Number | Determining rates with large and small numbers as speed and changing units (km/h, m/s); applying knowledge of place value (base 10) and scientific notation; calculating volume of cones, cylinders, and spheres. | |

2 | Ups and Downs | Algebra | Describing an increasing or decreasing function from given data in a table or graph; determining whether or not a growth function is linear; recognizing a periodic function. | |

3 | It's All the Same | Geometry and Measurement | Transforming and graphing similar and congruent figures; explaining and applying the Pythagorean theorem; developing the concept of ratio through tessellation. | |

4 | Graphing Equations | Algebra | Graphing points and lines; using inequalities to describe restricted regions on a graph; solving single-variable linear equations; learning the structure of the equation of a line; solving systems of equations. | |

5 | Patterns and Figures | Algebra | Relating tables to algebraic descriptions; applying recursive and direct formulas; relating expressions in equivalent forms; using squares and square roots to solve area problems. | |

6 | Algebra Rules! | Algebra | Connecting operations with linear expressions; using the linear function; factoring linear functions; solving linear equations and operating with expressions; performing operations with graphs; introducing operations with quadratic forms. | |

7 | Insights into Data | Data Analysis and Probability | Analyzing information presented in a graph; gathering data using sampling techniques; recognizing bias in sample surveys; examining misleading representations of data; identifying weak, strong, positive, and negative correlations and no correlation; using lines to summarize the data in a scatter plot; making and interpreting scatter plots and box plots. | |

8 | Great Predictions | Data Analysis and Probability | Recognizing the variability in random samples and the role of chance in events; understanding the effect of sample size on variability; finding the probability of events; using expected values to make decisions; using simulations to investigate the probability; counting possible set arrangements. | |

+ ▽▷ | ||||

1 | Picturing Numbers | Data Analysis and Probability | Creating and interpreting different kinds of graphs (bar and line graphs, pie charts, and pictographs); describing data in tabular and graphical forms; using data and descriptive statistics to build an argument. | |

2 | Figuring All the Angles | Geometry and Measurement | Estimating and measuring directions, turns, and angles; investigating vectors and rectangular and polar coordinates. | |

3 | Take a Chance | Data Analysis and Probability | Exploring the meanings of the terms fair and chance; computing chances in situations with few outcomes; using repeated trials to estimate chances; using tree diagrams to represent two- or three-event situations. | |

4 | Made to Measure | Geometry and Measurement | Measuring length (including circumference), volume, and surface area using metric and English units. | |

5 | Looking at an Angle | Geometry and Measurement | Recognizing vision lines in two - and three-dimensional situations; identifying and drawing shadows and blind spots; identifying the isomorphism of vision lines, light rays, flight paths, etc.; understanding the relationship between angles and the tangent ratio; using the tangent ratio to solve problems. |