Grade Level Articulations

1.1.1: Compare and order real numbers including very large and small integers, and decimals and fractions close to zero.

Adding Fractions (Fraction Tiles)

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.1.2: Classify real numbers as rational or irrational.

Rational Numbers, Opposites, and Absolute Values

1.1.4: Model and solve problems involving absolute value.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Rational Numbers, Opposites, and Absolute Values

1.2.1: Solve problems with factors, multiples, divisibility or remainders, prime numbers, and composite numbers.

Chocomatic (Multiplication, Arrays, and Area)

Finding Factors with Area Models

Operations with Radical Expressions

1.2.2: Describe the effect of multiplying and dividing a rational number by

1.2.2.b: a number between zero and one,

Dividing Fractions

Dividing Mixed Numbers

1.2.2.c: one, and

Dividing Fractions

Dividing Mixed Numbers

1.2.2.d: a number greater than one.

Dividing Fractions

Dividing Mixed Numbers

1.2.3: Solve problems involving percent increase, percent decrease, and simple interest rates.

Compound Interest

Percent of Change

1.2.4: Convert standard notation to scientific notation and vice versa (include positive and negative exponents).

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

1.2.5: Simplify numerical expressions using the order of operations that include grouping symbols, square roots, cube roots, absolute values, and positive exponents.

2.1.1: Solve problems by selecting, constructing, interpreting, and calculating with displays of data, including box and whisker plots and scatterplots.

Box-and-Whisker Plots

Correlation

Least-Squares Best Fit Lines

Polling: City

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

2.1.3: Describe how summary statistics relate to the shape of the distribution.

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)

Real-Time Histogram

Stem-and-Leaf Plots

2.1.4: Determine whether information is represented effectively and appropriately given a graph or a set of data by identifying sources of bias and compare and contrast the effectiveness of different representations of data.

Polling: City

Populations and Samples

2.2.1: Determine theoretical and experimental conditional probabilities in compound probability experiments.

Independent and Dependent Events

2.2.2: Interpret probabilities within a given context and compare the outcome of an experiment to predictions made prior to performing the experiment.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

2.2.3: Use all possible outcomes (sample space) to determine the probability of dependent and independent events.

Independent and Dependent Events

Theoretical and Experimental Probability

2.3.2: Solve counting problems and represent counting principles algebraically including factorial notation.

3.1.1: Recognize, describe, create, and analyze numerical and geometric sequences using tables, graphs, words, or symbols; make conjectures about these sequences.

Arithmetic and Geometric Sequences

Finding Patterns

Function Machines 1 (Functions and Tables)

Square Roots

3.2.1: Sketch and interpret a graph that models a given context; describe a context that is modeled by a given graph.

3.2.2: Determine if a relationship represented by a graph or table is a function.

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

Quadratics in Polynomial Form

Radical Functions

3.2.3: Write the rule for a simple function using algebraic notation.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

3.2.4: Identify functions as linear or nonlinear and contrast distinguishing properties of functions using equations, graphs, or tables.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

3.2.5: Demonstrate that proportional relationships are linear using equations, graphs, or tables.

Compound Interest

Direct and Inverse Variation

3.3.1: Write or identify algebraic expressions, equations, or inequalities that represent a situation.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Interest

Linear Functions

Simplifying Algebraic Expressions II

Using Algebraic Equations

3.3.3: Analyze situations, simplify, and solve problems involving linear equations and inequalities using the properties of the real number system.

Compound Inequalities

Linear Inequalities in Two Variables

Solving Algebraic Equations II

Solving Two-Step Equations

3.3.4: Translate between different representations of linear equations using symbols, graphs, tables, or written descriptions.

Absolute Value with Linear Functions

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

3.3.5: Graph an inequality on a number line.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

3.4.1: Interpret the relationship between a linear equation and its graph, identifying and computing slope and intercepts.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

4.1.1: Identify the attributes of circles: radius, diameter, chords, tangents, secants, inscribed angles, central angles, intercepted arcs, circumference, and area.

Chords and Arcs

Circles

Circumference and Area of Circles

Inscribed Angles

4.1.2: Predict results of combining, subdividing, and changing shapes of plane figures and solids.

Area of Triangles

Circles

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

4.1.3: Use proportional reasoning to determine congruence and similarity of triangles.

Beam to Moon (Ratios and Proportions)

4.1.4: Use the Pythagorean Theorem to solve problems.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

4.2.1: Model the result of rotations in multiples of 45 degrees of a 2-dimensional figure about the origin.

Rotations, Reflections, and Translations

4.2.3: Identify lines of symmetry in plane figures or classify types of symmetries of 2-dimensional figures.

Holiday Snowflake Designer

Quilting Bee (Symmetry)

Rock Art (Transformations)

4.3.2: Use the Pythagorean Theorem to find the distance between two points in the coordinate plane.

4.4.1: Solve problems involving conversions within the same measurement system.

4.4.2: Solve geometric problems using ratios and proportions.

Beam to Moon (Ratios and Proportions)

Percents and Proportions

Proportions and Common Multipliers

4.4.3: Calculate the surface area and volume of rectangular prisms, right triangular prisms, and cylinders.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

4.4.6: Describe the relationship between the volume of a figure and the area of its base.

Correlation last revised: 1/20/2017