A: Students will demonstrate number sense and apply number theory concepts.

A.1: model and use power, base and exponent to represent repeated multiplication

Exponents and Power Rules

A.2: rename numbers among exponential, standard, and expanded forms

Number Systems

A.4: solve and create problems involving common factor and greatest common factors (GCF)

Chocomatic (Multiplication, Arrays, and Area)
Finding Factors with Area Models
Operations with Radical Expressions

A.5: solve and create problems involving common multiples and least common multiples (LCM)

Finding Factors with Area Models

A.9: compare and order proper and improper fractions, mixed numbers, and decimal numbers

Adding Fractions (Fraction Tiles)
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)

A.10: illustrate, explain, and express ratios, fractions, decimals, and percents in alternative forms

Beam to Moon (Ratios and Proportions) - Metric
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Sums and Differences with Decimals
Toy Factory (Set Models of Fractions)

A.11: demonstrate number sense for percent

Percent of Change
Percents, Fractions, and Decimals

A.12: represent integers (including zero) concretely, pictorially, and symbolically, using a variety of models

Adding and Subtracting Integers
Integers, Opposites, and Absolute Values

A.13: compare and order integers

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

B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

B.2: use mental math strategies for calculations involving integers and decimal numbers

Adding on the Number Line
Sums and Differences with Decimals

B.3: demonstrate an understanding of the properties of operations with decimal numbers and integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Multiplying with Decimals
Sums and Differences with Decimals

B.5: apply the order of operations for problems involving whole and decimal numbers

Order of Operations

B.6: estimate the sum or difference of fractions when appropriate

Estimating Sums and Differences
Improper Fractions and Mixed Numbers

B.8: estimate and determine percent when given the part and the whole

Percent of Change
Percents and Proportions
Polling: Neighborhood

B.9: estimate and determine the percent of a number

Percent of Change
Percents and Proportions

B.10: create and solve problems that involve the use of percent

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

B.11: add and subtract integers concretely, pictorially, and symbolically to solve problems

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

B.12: multiply integers concretely, pictorially, and symbolically to solve problems

Adding and Subtracting Integers

B.14: solve and pose problems which utilize addition, subtraction, multiplication, and division of integers

Adding on the Number Line
Addition of Polynomials

B.15: apply the order of operations to integers

Order of Operations

B.16: create and evaluate simple variable expressions by recognizing that the four operations apply in the same way a they do for numerical expressions

Equivalent Algebraic Expressions I
Order of Operations
Using Algebraic Expressions

B.17: distinguish between like and unlike terms

Addition of Polynomials
Simplifying Algebraic Expressions II

B.18: add and subtract like terms by recognizing the parallel with numerical situations, using concrete and pictorial models

Equivalent Algebraic Expressions I

C: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

C.1: describe a pattern, using written and spoken language and tables and graphs

Arithmetic Sequences
Geometric Sequences
Graphing Skills

C.2: summarize simple patterns, using constants, variables, algebraic expressions, and equations, and use them in making predictions

Arithmetic Sequences
Compound Interest
Geometric Sequences

C.3: explain the difference between algebraic expressions and algebraic equations

Absolute Value Equations and Inequalities
Compound Interest
Linear Functions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

C.6: graph linear equations, using a table of values

Points, Lines, and Equations

C.8: determine if an ordered pair is a solution to a linear equation

Points, Lines, and Equations
Solving Equations by Graphing Each Side

C.9: construct and analyse graphs to show how change in one quantity affects a related quantity

Translating and Scaling Functions

D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

D.1: identify, use, and convert among the SI units to measure, estimate, and solve problems that relate to length, area, volume, mass, and capacity

Measuring Trees
Unit Conversions

D.2: apply concepts and skills related to time in problem situations

Real-Time Histogram

D.5: demonstrate an understanding of the relationships among diameter, radii, and circumference of circles, and use the relationships to solve problems

Circumference and Area of Circles

E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

E.3: construct angle bisectors and perpendicular bisectors, using a variety of methods

Concurrent Lines, Medians, and Altitudes
Segment and Angle Bisectors

E.4: apply angle pair relationships to find missing angle measures

Investigating Angle Theorems
Triangle Angle Sum

E.6: apply angle relationships to find angle measures

Investigating Angle Theorems
Triangle Angle Sum

E.7: explain, using a model, why the sum of the measures of the angles of a triangle is 180°

Isosceles and Equilateral Triangles
Triangle Angle Sum

E.9: draw, describe, and apply translations, reflections, and rotations, and their combinations, and identify and use the properties associated with these transformations

Reflections
Rotations, Reflections, and Translations
Similar Figures

E.10: create and describe designs using translation, rotation, and reflection

Absolute Value with Linear Functions
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures

F: Students will solve problems involving the collection, display and analysis of data.

F.1: communicate through example the distinction between biased and unbiased sampling, and first- and second-hand data

Polling: City
Polling: Neighborhood
Populations and Samples

F.2: formulate questions for investigation from relevant contexts

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

F.3: select, defend, and use appropriate data collection methods and evaluate issues to be considered when collecting data

Describing Data Using Statistics
Polling: City
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

F.4: construct a histogram

Histograms
Real-Time Histogram
Stem-and-Leaf Plots

F.5: construct appropriate data displays, grouping data where appropriate and taking into consideration the nature of the data

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Graphing Skills
Stem-and-Leaf Plots

F.6: read and make inferences for grouped and ungrouped data displays

Box-and-Whisker Plots
Graphing Skills

F.8: determine measures of central tendency and how they are affected by data presentations and fluctuations

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

G: Students will represent and solve problems involving uncertainty.

G.1: identify situations for which the probability would would be near 0, 1//4, 1/2, 3/4, and 1

Estimating Population Size
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

G.2: solve probability problems, using simulations and by conducting experiments

Geometric Probability
Independent and Dependent Events

G.4: create and solve problems, using the numerical definition of probability

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

G.5: compare experimental results with theoretical results

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

G.6: use fractions, decimals, and percents as numerical expressions to describe probability

Estimating Population Size
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability