NO: Number and Operations

NO.1: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.

NO.1.1: Read, write, compare and solve problems, with and without appropriate technology, including numbers less than 1 in scientific notation

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.2: Convert between scientific notation and standard notation, including numbers from zero to one.

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

NO.2: Students shall understand meanings of operations and how they relate to one another.

NO.2.1: Apply the addition, subtraction, multiplication and division properties of equality to twostep equations

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Two-Step Equations

NO.2.2: Understand and apply the inverse and identity properties

Solving Algebraic Equations I

NO.2.3: Use inverse relationships (addition and subtraction, multiplication and division, squaring and square roots) in problem solving situations

Function Machines 3 (Functions and Problem Solving)
Modeling One-Step Equations
Solving Two-Step Equations
Square Roots

NO.2.4: Apply rules (conventions) for order of operations to rational numbers

Order of Operations

NO.2.5: Model and develop addition, subtraction, multiplication and division of rational numbers

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

NO.3: Students shall compute fluently and make reasonable estimates.

NO.3.1: Compute, with and without appropriate technology, with rational numbers in multi-step problems

Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

NO.3.2: Solve, with and without appropriate technology, multistep problems using a variety of methods and tools (i.e. objects, mental computation, paper and pencil)

Solving Equations on the Number Line

NO.3.3: Use Estimation to solve problems involving rational numbers; including ratio, proportion, percent (increase or decrease) then judge the reasonableness of solutions

Estimating Sums and Differences

NO.3.5: Calculate and find approximations of square roots with appropriate technology

Square Roots

A: Algebra

A.4: Students shall recognize, describe and develop patterns, relations and functions.

A.4.1: Find the nth term in a pattern or a function table

Arithmetic Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Geometric Sequences

A.4.2: Using real world situations, describe patterns in words, tables, pictures, and symbolic representations

Geometric Sequences

A.4.4: Use tables, graphs, and equations to identify independent/dependent variables (input/output)

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Points, Lines, and Equations

A.5: Students shall represent and analyze mathematical situations and structures using algebraic symbols.

A.5.2: Solve and graph linear equations (in the form y=mx+b)

Linear Inequalities in Two Variables
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

A.6: Students shall develop and apply mathematical models to represent and understand quantitative relationships.

A.6.4: Represent, with and without appropriate technology, simple exponential and/or quadratic functions using verbal descriptions, tables, graphs and formulas and translate among these representations

Addition and Subtraction of Functions
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic

G: Geometry

G.9: Students shall apply transformations and the use of symmetry to analyze mathematical situations.

G.9.1: Determine a transformation's line of symmetry and compare the properties of the figure and its transformation

Holiday Snowflake Designer
Rock Art (Transformations)

G.9.2: Draw the results of translations and reflections about the xand y-axis and rotations of objects about the origin

Rotations, Reflections, and Translations

M: Measurement

M.12: Students shall use attributes of measurement to describe and compare mathematical and real-world objects.

M.12.2: Describe and apply equivalent measures using a variety of units within the same system of measurement

Unit Conversions

M.13: Students shall identify and use units, systems and processes of measurement.

M.13.3: Apply proportional reasoning to solve problems involving indirect measurements, scale drawings or rates

Dilations

M.13.4: Find the distance between two points on a coordinate plane using with the Pythagorean theorem

Distance Formula

DAP: Data Analysis and Probability

DAP.14: Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them.

DAP.14.1: Design and conduct investigations which include

DAP.14.1.a: adequate number of trials

Polling: City

DAP.14.2: Explain which types of display are appropriate for various data sets (scatter plot for relationship between two variants and line of best fit)

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

DAP.14.3: Interpret or solve real-world problems using data from charts, line plots, stem-and leaf plots, double-bar graphs, line graphs, box-and whisker plots, scatter plots, frequency tables or double line graphs

Box-and-Whisker Plots
Correlation
Earthquakes 1 - Recording Station
Histograms
Least-Squares Best Fit Lines
Mean, Median, and Mode
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

DAP.15: Students shall select and use appropriate statistical methods to analyze data.

DAP.15.1: Compare and contrast the reliability of data sets with different size populations

Polling: City
Populations and Samples

DAP.15.2: Analyze, with and without appropriate technology, graphs by comparing measures of central tendencies and measures of spread

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

DAP.15.3: Given at least one of the measures of central tendency create a data set

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

DAP.15.4: Describe how the inclusion of outliers affects those measures

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)

DAP.17: Students shall understand and apply basic concepts of probability.

DAP.17.1: Compute, with and without appropriate technology, probabilities of compound events, using organized lists, tree diagrams and logic grid

Permutations and Combinations

DAP.17.2: Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predict results, and explain differences

Independent and Dependent Events