This resource includes guided notes and worksheets for the following topics (with full solutions included):

Ratios and Proportional Relationships:

1. Introduction to Ratio Language
2. Equivalent Ratios with Tables - Using a table to find missing values in equivalent ratios.
3. Equivalent Ratios with Tape Diagrams - Visualizing equivalent ratios using tape diagrams (bar models) to solve problems.
4. Equivalent Ratios with Double Number Lines - Using double number lines as a tool to find equivalent ratios and solve problems.
5. Understanding Unit Rate - Defining unit rate as a special type of ratio that compares a quantity to one unit of another.
6. Solving Problems with Unit Rate - Applying unit rates to compare products (better buy) and situations (faster speed).
7. Converting Measurement Units - Using unit rates and ratio reasoning to convert units within a measurement system (e.g., feet to miles).
8. Converting Between Measurement Systems - Using ratio reasoning to convert between systems (e.g., inches to centimeters, given a conversion factor).
9. Percent as a Rate per 100 - Understanding that percent means "out of 100" and using visual models (like 10x10 grids).
10. Finding the Percent of a Number - Using strategies like fractions, decimals, or unit rate to find a percent of a quantity (e.g., 30% of 50).
11. Finding the Whole Given a Part and the Percent - Solving problems like "15 is 25% of what number?" using equivalent ratios or equations.

The Number System:

1. Dividing Fractions by Whole Numbers - Using visual fraction models to understand division of a fraction by a whole number.
2. Dividing Whole Numbers by Fractions - Using visual models and story contexts to understand this concept.
3. Dividing Fractions by Fractions - The standard algorithm and reasoning with visual models.
4. Multi-Digit Division (The Standard Algorithm) - Fluently dividing multi-digit numbers using the standard long division algorithm.
5. Adding and Subtracting Decimals - Fluency practice with the standard algorithms.
6. Multiplying Multi-Digit Decimals - Fluency practice with the standard algorithm.
7. Dividing Decimals by Whole Numbers - Placing the decimal point correctly in the quotient.
8. Dividing Decimals by Decimals - Using the strategy of multiplying the divisor and dividend by a power of 10 to create a whole number divisor.
9. Greatest Common Factor (GCF) - Finding the GCF and using it to solve real-world problems (e.g., splitting things into smaller groups).
10. Least Common Multiple (LCM) - Finding the LCM and using it to solve real-world problems (e.g., when two events will happen at the same time again).
11. Introduction to Negative Numbers - Understanding integers in real-world contexts (temperature, elevation, debt).
12. Ordering and Comparing Rational Numbers - Plotting positive and negative numbers on a number line and comparing their values.
13. Absolute Value - Understanding absolute value as a number's distance from zero, regardless of direction.
14. The Coordinate Plane (All Four Quadrants) - Learning the parts of the plane and how to name and plot ordered pairs (x, y) in all four quadrants.

Expressions and Equations:

1. Writing Expressions from Words - Translating phrases like "5 more than twice a number" into algebraic expressions.
2. Evaluating Expressions with Substitution - Substituting a value for a variable and using the order of operations to find the result.
3. Exponents - Writing and evaluating expressions with whole-number exponents.
4. Order of Operations (PEMDAS with Exponents) - Applying PEMDAS to evaluate expressions that include exponents and parentheses.
5. The Distributive Property - Using the distributive property to write equivalent expressions (e.g., a(b + c) = ab + ac).
6. Identifying Parts of an Expression - Defining terms, coefficients, constants, and like terms.
7. Writing Equations from Word Problems - Writing one-variable equations to represent real-world situations.
8. Solving One-Step Equations (Addition/Subtraction) - Using inverse operations to find the value of a variable (e.g., x + 5 = 12).
9. Solving One-Step Equations (Multiplication/Division) - Solving equations like 3x = 15 and x/4 = 3.
10. Writing and Solving Inequalities - Writing inequalities from a context and graphing the solution on a number line.

Geometry:

1. Area of Triangles - Deriving and using the formula for the area of a triangle.
2. Area of Special Quadrilaterals - Finding the area of parallelograms, trapezoids, and rhombuses by decomposing shapes.
3. Volume of a Rectangular Prism - Using the formula V = l × w × h to find volume, even with fractional edge lengths.
4. Nets of 3D Figures - Drawing nets for prisms and pyramids and using them to visualize the figure.

Statistics and Probability:

1. Statistical vs. Non-Statistical Questions - Learning to identify questions that anticipate variability in the data.
2. Displaying Data: Dot Plots & Histograms - Creating and interpreting data displayed in dot plots and histograms.
3. Measures of Center: Mean & Median - Calculating and understanding the meaning of the mean (average) and median.
4. Measures of Variability: Range & IQR - Calculating the range and interquartile range (IQR) from a data set or box plot.
5. Displaying Data: Box Plots (Box-and-Whisker) - Creating and interpreting five-number summaries and box plots.
6. Summarizing a Data Distribution - Describing the overall shape, center, and spread of a data set.