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

A.1: model and link various representations of square root of a number

Square Roots

A.2: recognize perfect squares between 1 and 144 and apply patterns related to them

Operations with Radical Expressions
Square Roots

A.3: distinguish between an exact square root of a number and its decimal approximation

Square Roots

A.4: find the square root of any number, using an appropriate method

Operations with Radical Expressions
Square Roots

A.6: represent any number written in scientific notation in standard form, and vice versa

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

A.7: compare and order integers and positive and negative rational numbers (in decimal and fractional forms)

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

A.8: represent and apply fractional percents, and percents greater than 100, in fraction or decimal form, and vice versa

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Polling: Neighborhood
Real-Time Histogram

A.9: solve proportion problems that involve equivalent ratios and rates

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

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

B.1: demonstrate an understanding of the properties of operations with integers and positive and negative rational numbers (in decimal and fractional forms)

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

B.2: solve problems involving proportions, using a variety of methods

Beam to Moon (Ratios and Proportions) - Metric
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

B.3: create and solve problems which involve finding a, b, or c in the relationship A% of b = c, using estimation and calculation

Percent of Change
Percents and Proportions

B.4: apply percentage increase and decrease in problem situations

Percent of Change

B.5: add and subtract fractions concretely, pictorially, and symbolically

Adding Fractions (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers

B.6: add and subtract fractions mentally, when appropriate

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers

B.7: multiply fractions concretely, pictorially, and symbolically

Multiplying Fractions
Multiplying Mixed Numbers

B.8: divide fractions concretely, pictorially, and symbolically

Dividing Fractions
Dividing Mixed Numbers

B.9: estimate and mentally compute products and quotients involving fractions

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

B.11: model, solve, and create problems involving fractions in meaningful contexts

Dividing Mixed Numbers
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

B.12: add, subtract, multiply, and divide positive and negative decimal numbers with and without the calculator

Multiplying with Decimals
Square Roots
Sums and Differences with Decimals

B.13: solve and create problems involving addition, subtraction, multiplication, and division of positive and negative decimal numbers

Multiplying with Decimals
Square Roots
Sums and Differences with Decimals

B.14: add and subtract algebraic terms concretely, pictorially, and symbolically to solve simple algebraic problems

Equivalent Algebraic Expressions I
Using Algebraic Expressions

B.15: explore addition and subtraction of polynomial expressions, concretely and pictorially

Addition of Polynomials

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

C.1: represent patterns and relationships in a variety of formats and use these representations to predict unknown values

Pattern Finder

C.4: link visual characteristics of slope with its numerical value by comparing vertical change with horizontal change

Cat and Mouse (Modeling with Linear Systems) - Metric
Distance-Time and Velocity-Time Graphs - Metric
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

C.5: solve problems involving the intersection of two lines on a graph

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)

C.6: solve and verify simple linear equations algebraically

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

C.7: create and solve problems, using linear equations

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

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

D.1: solve indirect measurement problems, using proportions

Estimating Population Size

D.4: develop and use the formula for the area of a circle

Circumference and Area of Circles

D.5: describe patterns and generalize the relationships between areas and perimeters of quadrilaterals, and areas

Perimeter and Area of Rectangles

D.7: estimate and calculate volumes and surface areas of right prisms and cylinders

Surface and Lateral Areas of Prisms and Cylinders

D.8: measure and calculate volumes and surface areas of composite 3-D shapes

Surface and Lateral Areas of Prisms and Cylinders

D.10: apply the Pythagorean relationship in problem situations

Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones

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

E.1: demonstrate whether a set of orthographic views, a mat plan, and an isometric drawing can represent more than one 3-D shape

3D and Orthographic Views
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

E.3: draw, describe, and apply transformations of 3-D shapes

Dilations

E.4: analyse polygons to determine their properties and interreleationships

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions
Perimeters and Areas of Similar Figures
Similar Figures
Special Parallelograms

E.5: represent, analyse, describe, and apply dilations

Dilations

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

F.2: develop and apply the concept of randomness

Polling: City
Polling: Neighborhood
Populations and Samples

F.4: construct and interpret scatter plots and determine a line of best fit by inspection

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

F.5: construct and interpret box-and-whisker plots

Box-and-Whisker Plots

G: Students will represent and solve problems involving uncertainty.

G.1: conduct experiments and simulations to find probabilities of single and complementary events

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

G.2: determine theoretical probabilities of single and complementary events

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

G.3: compare experimental and theoretical probabilities

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