Grade Level Articulations

1.1.1: Recognize and convert between expressions for positive and negative rational numbers, including fractions, decimals, percents, and ratios.

Percents, Fractions, and Decimals

1.1.2: Find or use factors, multiples, or prime factorization within a set of numbers.

Chocomatic (Multiplication, Arrays, and Area)

Finding Factors with Area Models

Operations with Radical Expressions

1.1.3: Compare and order rational numbers using various models and representations.

Comparing and Ordering Decimals

1.1.4: Model and solve simple problems involving absolute value.

Absolute Value with Linear Functions

1.2.1: Add, subtract, multiply, and divide integers.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

1.2.2: Solve problems with rational numbers and appropriate operations using exact answers or estimates.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.2.3: Solve problems involving percentages, ratio and proportion, including tax, discount, tips, and part/whole relationships.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Road Trip (Problem Solving)

1.2.5: Simplify numerical expressions using the order of operations and appropriate mathematical properties.

Order of Operations

Solving Algebraic Equations II

1.3.1: Estimate and apply benchmarks for rational numbers and common irrational numbers.

Estimating Sums and Differences

1.3.3: Estimate square roots of numbers less than 1000 by locating them between two consecutive whole numbers.

2.1.1: Solve problems by selecting, constructing, and interpreting displays of data including multi-line graphs and scatterplots.

Box-and-Whisker Plots

Correlation

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Prairie Ecosystem

Reaction Time 2 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

2.1.2: Interpret trends in a data set, estimate values for missing data, and predict values for points beyond the range of the data set.

Correlation

Solving Using Trend Lines

Trends in Scatter Plots

2.1.3: Identify outliers and determine their effect on mean, median, mode, and range.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

2.1.4: Distinguish between a simple random and non-random sample.

Polling: City

Polling: Neighborhood

Populations and Samples

2.2.1: Determine conditional probabilities (experimental) in compound probability experiments.

Independent and Dependent Events

2.2.2: Experiment with two different events to determine whether the two events are dependent or independent of each other.

Independent and Dependent Events

Theoretical and Experimental Probability

2.2.3: Compare the results of multiple repetitions of the same probability experiment to the theoretical probability.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

2.2.4: Compare probabilities to determine fairness in experimental situations.

Probability Simulations

Theoretical and Experimental Probability

2.3.1: Analyze relationships among the tree diagrams where items repeat and do not repeat; make numerical connections to the multiplication principle of counting.

Independent and Dependent Events

Permutations and Combinations

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

Arithmetic Sequences

Geometric Sequences

3.2.1: Use a table of values to graph an equation or proportional relationship; describe the graph's characteristics.

Direct and Inverse Variation

Points, Lines, and Equations

3.3.1: Write a single variable algebraic expression or one-step equation given a contextual situation.

3.3.3: Solve multi-step equations using inverse properties with rational numbers.

Solving Algebraic Equations II

3.3.4: Translate between graphs and tables that represent a linear equation.

3.3.6: Create and solve one-step inequalities with whole numbers.

Compound Inequalities

Solving Linear Inequalities in One Variable

3.4.1: Use graphs and tables to model and analyze change.

4.1.1: Recognize the relationship between central angles and intercepted arcs; identify arcs and chords of a circle.

4.1.2: Analyze and determine relationships between angles created by parallel lines cut by a transversal.

Constructing Congruent Segments and Angles

Triangle Angle Sum

4.1.4: Describe the relationship between the number of sides in a regular polygon and the sum of its interior angles.

4.1.5: Identify corresponding parts of congruent figures.

Constructing Congruent Segments and Angles

4.2.1: Model the result of a double transformation (translations or reflections) of a 2-dimensional figure on a coordinate plane using all four quadrants.

Circles

Dilations

Rotations, Reflections, and Translations

4.4.2: Identify polygons having the same perimeter or area.

Area of Parallelograms

Unit Conversions

4.4.3: Calculate the area and perimeter of composite 2-dimensional figures.

Area of Triangles

Fido's Flower Bed (Perimeter and Area)

4.4.5: Create a net to calculate the surface area of a given solid.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

4.4.4: Determine actual lengths based on scale drawings or maps.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

4.4.6: Identify the appropriate unit of measure to compute the volume of an object and justify reasoning.

Correlation last revised: 1/20/2017