1: Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

1.1: Number sense

1.1.1: Use scientific notation to represent large numbers and decimals

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

1.1.3: Interpret and apply percents greater than 100.

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

1.1.4: Use proportional reasoning to express rates (e.g., speed, density, mpg)

Beam to Moon (Ratios and Proportions)
Percents and Proportions
Proportions and Common Multipliers

1.1.5: Compare fractions, decimals, and percents using multiple models

Rational Numbers, Opposites, and Absolute Values

1.1.6: Explore the effects of scaling up and scaling down on the coordinate plane

Dilations
Rotations, Reflections, and Translations

1.1.7: Compare integers on the number line

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

1.1.8: Explain the relationship of a number to its additive inverse

Simplifying Algebraic Expressions I

1.1.9: Apply knowledge of integers to the coordinate plane

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane

1.2: Operations

1.2.2: Use a variety of strategies to add, subtract, multiply, and divide fractions

Adding Fractions (Fraction Tiles)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

1.2.3: Calculate unit rate to solve real-world problems (e.g., speed of a car, unit price of food, etc.)

Household Energy Usage
Road Trip (Problem Solving)

1.2.5: Use ratios, proportions and percents to solve contextualized problems

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Real-Time Histogram
Road Trip (Problem Solving)

1.2.7: Add, subtract, multiply, and divide integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

1.2.8: Use an estimation or mental math strategy to demonstrate the reasonableness on an exact answer

Estimating Sums and Differences

2: Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.

2.1: Patterns and change

2.1.1: Describe rate of change in tables, rules or graphs

Cat and Mouse (Modeling with Linear Systems)
Elevator Operator (Line Graphs)
Slope

2.1.2: Interpret rate of change in tables and graphs based on the

Cat and Mouse (Modeling with Linear Systems)
Elevator Operator (Line Graphs)
Slope

2.2: Representations

2.2.1: Connect different representations of the same situation to one another using tables, graphs, and rules

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Points, Lines, and Equations

2.2.2: Model and solve contextualized linear problems using various representations (e.g., tables, graphs, equations) with respect to starting point and rate of change.

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope-Intercept Form of a Line

2.3: Symbols

2.3.1: Write an equation to show how two variables are related

Solving Equations on the Number Line
Using Algebraic Equations

2.3.3: Solve linear equations using a variety of strategies

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Two-Step Equations

2.3.4: Translate visual patterns into symbolic form

Function Machines 1 (Functions and Tables)

3: Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.

3.1: Classification

3.1.3: Build three-dimensional objects from two-dimensional representations and draw two-dimensional representations of three-dimensional objects

Surface and Lateral Areas of Prisms and Cylinders

3.1.4: Create models of nets of three dimensional figures (e.g., cube, rectangular prism, cylinder)

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

3.2: Location and transformation

3.2.1: Describe the effects that transformations (i.e., reflections, translations, and rotations) and changes in scale have on similarity and congruence

Circles
Dilations
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures

3.2.2: Demonstrate dilations of scale on the coordinate plane

Dilations

3.2.3: Represent reflections, rotations, and translations on the coordinate plane

Dilations
Rock Art (Transformations)
Rotations, Reflections, and Translations

3.3: Measurement

3.3.1: Find the area of polygons by partitioning into rectangles and triangles

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

3.3.2: Find the surface area of prisms using physical models

Surface and Lateral Areas of Prisms and Cylinders

3.3.3: Identify corresponding parts of similar figures

Similar Figures
Similarity in Right Triangles

3.3.4: Determine the volume and surface areas of cylinders and prisms

Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders

4: Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.

4.1: Collect

4.1.1: Pose questions that can be answered by collecting and organizing data from experiments, surveys, and relevant print and electronic resources

Correlation
Describing Data Using Statistics
Stem-and-Leaf Plots

4.2: Represent

4.2.1: Construct displays of data for single data sets (e.g., stem-and-leaf plots) or in order to study the relationship between related data sets (scatter plots)

Correlation
Graphing Skills
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots
Trends in Scatter Plots

4.3: Analyze

4.3.1: Defend or dispute conclusions drawn from the interpretation of data by comparing one data set to another

Box-and-Whisker Plots
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

4.3.2: Choose an appropriate measures of center (mean, median, mode) and spread (range) to interpret data set(s)

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.4: Probability

4.4.1: Construct a sample space (organized list, counting tree) to determine theoretical probabilities of an event

Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.4.2: Use proportional reasoning to predict how often a simple probability event will occur in a given number of trials

Theoretical and Experimental Probability