N: Number and Operations

N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

N.1.A: apply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on the number line)

Comparing and Ordering Decimals
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rational Numbers, Opposites, and Absolute Values
Treasure Hunter (Decimals on the Number Line)

N.1.B: recognize and generate equivalent forms of fractions, decimals and benchmark percents

Modeling Decimals (Area and Grid Models)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

N.2: Understand meanings of operations and how they relate to one another

N.2.B: describe the effects of multiplication and division on fractions and decimals

Square Roots

N.2.C: apply properties of operations (including order of operations) to positive rational numbers

Order of Operations

N.2.D: identify square and cubic numbers and determine whole number roots and cubes

Operations with Radical Expressions
Square Roots

N.3: Compute fluently and make reasonable estimates

N.3.C: multiply and divide positive rational numbers

Adding and Subtracting Integers
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

N.3.D: estimate and justify the results of multiplication and division of positive rational numbers

Dividing Fractions
Dividing Mixed Numbers
Multiplying Decimals (Area Model)
Multiplying Mixed Numbers
Multiplying with Decimals

N.3.E: solve problems using ratios and rates

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

A: Algebraic Relationships

A.1: Understand patterns, relations and functions

A.1.B: represent and describe patterns with tables, graphs, pictures, symbolic rules or words

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

A.1.C: compare various forms of representations to identify patterns

Arithmetic Sequences
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Pattern Finder

A.1.D: identify functions as linear or nonlinear from tables or graphs

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations
Slope-Intercept Form of a Line

A.2: Represent and analyze mathematical situations and structures using algebraic symbols

A.2.A: use symbolic algebra to represent unknown quantities in expressions or equations and solve one-step equations

Compound Interest
Simplifying Algebraic Expressions II
Solving Algebraic Equations II
Solving Equations on the Number Line
Using Algebraic Expressions

A.2.B: use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

A.3: Use mathematical models to represent and understand quantitative relationships

A.3.A: model and solve problems, using multiple representations such as tables, expressions and one-step equations

Compound Interest
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

A.4: Analyze change in various contexts

A.4.A: construct and analyze representations to compare situations with constant or varying rates of change

Compound Interest

G: Geometric and Spatial Relationships

G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.1.A: identify similar and congruent shapes

Similarity in Right Triangles

G.3: Apply transformations and use symmetry to analyze mathematical situations

G.3.A: describe the transformation from a given pre-image using the terms reflection/flip, rotation/turn, and translation/ slide

Rotations, Reflections, and Translations

M: Measurement

M.1: Understand measurable attributes of objects and the units, systems and processes of measurement

M.1.C: solve problems involving elapsed time (hours and minutes)

Elapsed Time

M.2: Apply appropriate techniques, tools and formulas to determine measurements

M.2.C: solve problems involving the area or perimeter of polygons

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

M.2.E: convert from one unit to another within a system of measurement (mass and weight)

Unit Conversions

D: Data and Probability

D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

D.1.A: formulate questions, design studies and collect data about a characteristic

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

D.1.C: interpret circle graphs; create and interpret stem-and-leaf plots

Graphing Skills
Stem-and-Leaf Plots

D.2: Select and use appropriate statistical methods to analyze data

D.2.A: find the range and measures of center, including median, mode and mean

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.3: Develop and evaluate inferences and predictions that are based on data

D.3.A: use observations about differences between 2 samples to make conjectures about the populations from which the samples were taken

Polling: City

D.4: Understand and apply basic concepts of probability

D.4.A: use a model (diagrams, list, sample space, or area model) to illustrate the possible outcomes of an event

Independent and Dependent Events
Spin the Big Wheel! (Probability)