## Math

Introduction to Probability Seventh Grade Math Introduction to Percent Seventh Grade Math Simplify Fractions Fifth Grade Math Ratios, proportions and percents Eighth Grade Math Plot Points Fifth Grade Math Applications of percent Eighth Grade Math Multiplication Third Grade Math ### PA.2.1. Numbers, Number Systems and Number Relationships

#### 2.1.7.A. Model and compare values of integers, mixed numbers, fractions, and decimals.

#### 2.1.7.B. Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).

#### 2.1.7.C. Use ratio and proportion to model relationships between quantities.

#### 2.1.7.D. Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, mixed numbers, and/or integers.

#### 2.1.7.F. Understand the concepts of ratio, proportion, percents, and rates to determine unknown quantities in equations.

### PA.2.10. Trigonometry

#### 2.10.7.A. Compute measures of sides and angles using proportions, the Pythagorean Theorem, and right triangle relationships.

### PA.2.11. Concepts of Calculus

#### 2.11.7.A. Compare and order rational numbers; identify the maximum and/or minimum values of a set of numbers.

### PA.2.2. Computation and Estimation

#### 2.2.7.B. Add, subtract, multiply, and divide whole numbers, decimals, fractions, mixed numbers, or integers.

#### 2.2.7.C. Use the order of operations to evaluate numerical expressions.

#### 2.2.7.D. Estimate solutions of problems involving calculations with basic operations of whole numbers, decimals, fractions, or mixed numbers and check the reasonableness of those estimates.

### PA.2.3. Measurement and Estimation

#### 2.3.7.A. Demonstrate an understanding of measurable attributes and the units, systems, and processes of measurement.

#### 2.3.7.C. Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles.

### PA.2.4. Mathematical Reasoning and Connections

#### 2.4.7.A. Draw logical conclusions and justify reasoning for conclusions within mathematical contexts.

### PA.2.5. Mathematical Problem Solving and Communication

#### 2.5.7.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, apply estimation skills as appropriate, check whether the plan makes sense, and explain how the problem was solved in grade appropriate contexts.

### PA.2.6. Statistics and Data Analysis

#### 2.6.7.A. Identify different ways of selecting a sample and choosing an appropriate sampling technique for a given situation.

#### 2.6.7.B. Organize and display data using an appropriate data display, such as circle graphs, histograms, line graphs, double bar graphs, and stem and- leaf plots, Venn diagrams, tables, and charts.

#### 2.6.7.C. Use numerical summaries to describe different sets of data.

#### 2.6.7.E. Interpret trends and make predictions based on data displayed in a graph.

### PA.2.7. Probability and Predictions

#### 2.7.7.A. Predict the outcome of a grade-level appropriate probability experiment.

#### 2.7.7.C. Express the probability of a compound or complimentary event as a fraction, decimal, or percent.

#### 2.7.7.D. List the possible outcomes for two or more independent events and compare the outcomes.

#### 2.7.7.E. Find and interpret the experimental or theoretical probability of an outcome of a simple event.

### PA.2.8. Algebra and Functions

#### 2.8.7.A. Use the concept of equality to demonstrate understanding of properties applied to rational numbers (e.g. identity, distributive, associative, commutative).

#### 2.8.7.B. Evaluate and simplify algebraic expressions and solve and graph linear equations and inequalities.

#### 2.8.7.C. Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of rational number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.

#### 2.8.7.D. Determine a functional rule from given data or a situation.

#### 2.8.7.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities in one variable that model problem situations.

#### 2.8.7.F. Interpret the results of solving equations and inequalities in one variable in the context of the situation that motivated the model.

### PA.2.9. Geometry

#### 2.9.7.A. Identify, define, label, and/or describe properties of 1-, 2-, and 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

#### 2.9.7.B. Predict and describe the result of a translation (slide), rotation (turn), and/or reflection (flip) of a 2-dimensional shape.

#### 2.9.7.C. Identify on a 2- dimensional coordinate system the location of points with rational number coordinates; plot in a two dimensional coordinate system a point represented by an ordered pair of rational numbers.

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