Grade Level Articulations

1.1.PO 1: Express fractions as ratios, comparing two whole numbers. (e.g., ¾ is equivalent to 3:4 and 3 to 4)

Beam to Moon (Ratios and Proportions)

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Part:Part and Part:Whole Ratios

Polling: Neighborhood

Probability Simulations

Proportions and Common Multipliers

Theoretical and Experimental Probability

1.1.PO 2: Compare two proper fractions, improper fractions or mixed numbers.

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

Improper Fractions and Mixed Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

1.1.PO 3: Order three or more proper fractions, improper fractions or mixed numbers.

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

Improper Fractions and Mixed Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

1.1.PO 4: Determine the equivalency between and among fractions, decimals, and percents in contextual situations.

Percents, Fractions and Decimals

1.2.PO 3: Apply grade level appropriate properties to assist in computation.

1.2.PO 7: Add or subtract proper fractions and mixed numbers with unlike denominators with regrouping.

Fractions with Unlike Denominators

1.2.PO 8: Demonstrate the process of multiplication of proper fractions using models.

Multiplying Fractions

Multiplying Mixed Numbers

1.2.PO 9: Multiply proper fractions.

Multiplying Fractions

Multiplying Mixed Numbers

1.2.PO 10: Multiply mixed numbers.

1.2.PO 11: Demonstrate that division is the inverse of multiplication of proper fractions.

Dividing Fractions

Dividing Mixed Numbers

Modeling and Solving Two-Step Equations

Multiplying Fractions

Multiplying Mixed Numbers

Solving Two-Step Equations

1.2.PO 12: Divide proper fractions.

Dividing Fractions

Dividing Mixed Numbers

1.2.PO 13: Divide mixed numbers.

1.2.PO 15: Simplify numerical expressions using the order of operations with grade appropriate operations on number sets.

Operations with Radical Expressions

Order of Operations

1.3.PO 4: Estimate and measure for the area and perimeter of polygons using a grid.

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

2.1.PO 2: Construct a histogram, line graph, scatter plot, or stem-and-leaf plot with appropriate labels and title from organized data.

Histograms

Populations and Samples

Scatter Plots - Activity A

Stem-and-Leaf Plots

2.1.PO 5: Find the mean, median (odd number of data points), mode, range, and extreme values of a given numerical data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

2.1.PO 7: Compare trends in data related to the same investigation.

2.2.PO2: Express probabilities of a single event as a decimal.

Geometric Probability - Activity A

2.2.PO 4: Record the data from performing a grade level appropriate probability experiment.

Geometric Probability - Activity A

Probability Simulations

2.2.PO 5: Compare the outcome of an experiment to predictions made prior to performing the experiment.

2.2.PO 6: Make predictions from the results of student-generated experiments using objects (e.g., coins, spinners, number cubes, and cards).

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

2.2.PO 7: Compare the results of two repetitions of the same grade level appropriate probability experiment.

Geometric Probability - Activity A

Populations and Samples

Probability Simulations

2.3.PO 1: Determine all possible outcomes involving a combination of 3 sets of 3 items, using a systematic approach. (e.g., 3 different shirts, 3 different pairs of pants, and 3 different belts)

2.3.PO 2: Determine all possible arrangements given a set with four or fewer objects using a systematic list, table or tree diagram when order is not important.

3.1.PO 1: Communicate a grade level appropriate recursive pattern, using symbols or numbers.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

3.1.PO 2: Extend a grade level appropriate iterative pattern.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

3.1.PO 3: Solve grade level appropriate iterative pattern problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

3.2.PO 1: Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model)

Introduction to Functions

Using Tables, Rules and Graphs

3.3.PO 1: Evaluate expressions involving the four basic operations by substituting given fractions for the variable. (e.g., n+3, when n= ½ )

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

3.3.PO 2: Use variables in contextual situations.

3.3.PO 3: Translate a written phrase to an algebraic expression. (e.g., The quotient of m and 5 is m/5 or m ÷ 5.)

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 4: Translate a phrase written in context into an algebraic expression. (e.g., Write an expression to describe the situation: John has x pieces of candy and buys three more. x + 3)

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 5: Solve one-step equations with one variable represented by a letter or symbol, using inverse operations with whole numbers.

Modeling One-Step Equations - Activity A

3.4.PO 1: Identify values on a given line graph or scatter plot. (e.g., Given a line showing wages earned per hour, what is the wage at five hours?)

4.1.PO 1: Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity)

Classifying Quadrilaterals - Activity A

Classifying Triangles

4.1.PO 3: Classify prisms, pyramids, cones, and cylinders by base shape and lateral surface shape.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.1.PO 4: Classify three-dimensional figures by their attributes.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.1.PO 5: Compare attributes of two- dimensional figures with three-dimensional figures.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.1.PO 6: Draw triangles with appropriate labels.

4.1.PO 7: Identify supplementary or complementary angles.

Investigating Angle Theorems - Activity A

4.1.PO 8: Identify the diameter, radius and circumference of a circle or sphere.

Circle: Circumference and Area

4.1.PO 9: Draw a two-dimensional shape with a given number of lines of symmetry.

4.2.PO 1: Identify reflections, and translations using pictures.

Rotations, Reflections and Translations

4.3.PO 1: Graph a polygon in the first quadrant using ordered pairs.

Introduction to Functions

Points in the Coordinate Plane - Activity A

4.3.PO 2: State the missing coordinate of a given figure in the first quadrant of a coordinate grid using geometric properties. (e.g. find the coordinates of the missing vertex of a rectangle when two adjacent sides are drawn)

Classifying Triangles

Points in the Coordinate Plane - Activity A

4.4.PO 2: Determine the appropriate tool needed to measure to the needed accuracy.

4.4.PO 6: Solve problems involving the perimeter of polygons.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.4.PO 7: Determine the area of triangles.

Area of Parallelograms - Activity A

4.4.PO 8: Distinguish between the perimeter and area in contextual situation.

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.4.PO 9: Solve problems for the areas of parallelograms (includes rectangles).

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.4.PO 10: Identify parallelograms having the same perimeter or area.

Area of Parallelograms - Activity A

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

5.1.PO 2: Analyze algorithms for computing with decimals.

Multiplying with Decimals

Sums and Differences with Decimals

5.2.PO 1: Solve a simple logic problem from given information. (Which of three different people live in which of three different colored houses?)

Biconditional Statement

Conditional Statement

Correlation last revised: 1/20/2017