A: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

A.1: Analyze a variety of patterns (physical phenomena, numeric and geometric patterns, arithmetic sequences) and generalize with algebraic expressions, formulas or equations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

A.4: Write expressions, formulas, equations or inequalities using variables to represent mathematical relationships and solve problems.

Solving Equations on the Number Line
Using Algebraic Equations

A.6: Examine situations with constant or varying rates of change and know that a constant rate of change describes a linear relationship.

Distance-Time and Velocity-Time Graphs

A.7: Evaluate and simplify algebraic expressions, equations and formulas using algebraic properties (i.e., commutative, associative, distributive, inverse operations, and the additive and multiplicative identities) and the order of operations.

Adding on the Number Line
Addition of Polynomials
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Operations with Radical Expressions
Order of Operations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Using Algebraic Equations

A.8: Solve real world problems using a variety of algebraic methods including tables, graphs, equations and inequalities.

Linear Inequalities in Two Variables
Solving Equations on the Number Line

A.9: Write, model and solve one- and two-step, e.g., 2 x + 3 = 11, equations using a variety of methods such as tables, concrete models and the Properties of Equality and justify the solution.

Function Machines 1 (Functions and Tables)
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

N: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

N.1: Compare and order rational numbers, e.g., -2, 3/8, -3.15, 0.8, in context and locate them on number lines, scales and coordinate grids.

Elevator Operator (Line Graphs)
Estimating Population Size
Integers, Opposites, and Absolute Values
Points in the Coordinate Plane

N.2: Represent rational numbers in equivalent fraction, decimal and percentage forms.

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

N.5: Understand the relationship between squares and square roots.

Square Roots

N.6: Read, write, compare and solve problems with whole numbers in scientific notation and vice versa.

Unit Conversions 2 - Scientific Notation and Significant Digits

N.8: Apply the order of operations and algebraic properties; i.e., commutative, associative, distributive, inverse operations, and the additive and multiplicative identities; to write, simplify, e.g., 4 (3 1/2) = 4 (3) + 4 (1/2) = 12 + 2 = 16, and solve problems, including those with parentheses and exponents.

Adding on the Number Line
Addition of Polynomials
Chocomatic (Multiplication, Arrays, and Area)
Function Machines 3 (Functions and Problem Solving)
Order of Operations
Rational Numbers, Opposites, and Absolute Values
Simplifying Algebraic Expressions I
Solving Two-Step Equations
Square Roots
Using Algebraic Equations

N.9: Apply a variety of strategies to write and solve problems involving addition, subtraction, multiplication and division of positive rational numbers, i.e., whole numbers, fractions and decimals.

Estimating Sums and Differences

N.17: Develop an understanding of absolute value using a number line while solving problems involving distance.

Absolute Value Equations and Inequalities

G: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

G.1: Classify two- and three-dimensional geometric figures based on their properties including relationships of sides and angles and symmetry (line and/or rotational) and apply this information to solve problems.

Classifying Quadrilaterals

G.3: Draw the result of transformations on polygons on coordinate planes including translations, rotations, reflections and dilations (reductions and enlargements).

Dilations
Rotations, Reflections, and Translations

G.6: Identify and/or draw two-dimensional representations of three dimensional geometric solids using nets, cross-sections, front, side and top views to solve problems.

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

G.7: Use two-dimensional representations of rectangular prisms, pyramids and cylinders to determine surface area.

Surface and Lateral Areas of Prisms and Cylinders

G.8: Use formulas to solve problems involving perimeters and areas of polygons and circles.

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Circumference and Area of Circles
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

G.9: Develop and use formulas to determine volumes of geometric solids (rectangular prisms and cylinders).

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

G.11: Write and solve problems in context involving conversions of customary or metric units and units of time.

Unit Conversions

D: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

D.1: Formulate questions and design studies; e.g., surveys, experiments, research using published sources and the Internet; to collect and analyze data.

Correlation
Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Time Estimation

D.2: Organize and display data using appropriate graphical representation such as, tables and charts, line, bar and circle graphs, Venn diagrams, stem and leaf plots, scatter plots, histograms.

Box-and-Whisker Plots
Compound Inequalities
Correlation
Describing Data Using Statistics
Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

D.4: Find, use and interpret measures of central tendency and spread, including mean, median, mode, range and outliers.

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)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

D.5: Compare two sets of data based on their spread and measures of central tendency.

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

D.6: Identifying all possible outcomes using models, tree diagrams, tables and/or organized lists to determine theoretical probabilities.

Independent and Dependent Events
Permutations and Combinations
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

D.7: Perform experiments to determine experimental probabilities.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

D.8: Compare and contrast experimental probability results to theoretical probabilities in writing.

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

D.9: Solve probability problems in familiar contexts including simple events (flipping a coin) and compound events (flipping a coin and rolling a number cube).

Independent and Dependent Events
Theoretical and Experimental Probability