Warwick School District

Core Curriculum Content Standards

PA Common Core: Mathematics (2013)

• Numbers and Operations

• GRADE 4

• Apply place value concepts to show an understanding of multi-digit whole numbers.(2.1.4.B1)
• Extend the understanding of fractions to show equivalence and ordering.(2.1.4.C1)
• Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g, 19/100).(2.1.4.C3)

• GRADE 5

• Apply place value to show an understanding of operations and rounding as they pertain to whole numbers and decimals.(2.1.5.B1)
• Extend an understanding of operations with whole numbers to perform operations including decimals.(2.1.5.B2)
• Use the understanding of equivalency to add and subtract fractions.(2.1.5.C1)
• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.(2.1.5.C2)

• GRADE 6

• Develop and/or apply number theory concepts to find common factors and multiples.(2.1.6.E3)
• Apply and extend previous understandings of numbers to the system of rational numbers.(2.1.6.E4)

• GRADE 7

• Analyze proportional relationships and use them to model and solve real-world and mathematical problems.(2.1.7.D1)
• Apply and extend previous understandings of operations with fractions to operations with rational numbers.(2.1.7.E1)

• GRADE 8

• Distinguish between rational and irrational numbers using their properties.(2.1.8.E1)

• GRADE High School

• Apply and extend the properties of exponents to solve problems with rational exponents(2.1.HS.F1)

• Algebraic Concepts

• GRADE 4

• Develop and/or apply number theory concepts to find factors and multiples.(2.2.4.A2)

• GRADE 5

• Interpret and evaluate numerical expressions using order of operations.(2.2.5.A1)

• GRADE 6

• Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.(2.2.6.B2)

• GRADE 7

• Apply properties of operations to generate equivalent expressions.(2.2.7.B1)
• Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.(2.2.7.B3)

• GRADE 8

• Apply concepts of radicals and integer exponents to generate equivalent expressions.(2.2.8.B1)

• Geometry

• GRADE 4

• Draw lines and angles and identify these in two-dimensional figures.(2.3.4.A1)

• GRADE 5

• Classify two-dimensional figures into categories based on an understanding of their properties.(2.3.5.A2)

• GRADE 7

• Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.(2.3.7.A1)
• Visualize and represent geometric figures and describe the relationships between them.(2.3.7.A2)

• GRADE 8

• Apply the concepts of volume of cylinders, cones, and spheres to solve real-world and mathematical problems.(2.3.8.A1)
• Understand and apply congruence and similarity using various tools.(2.3.8.A2)

• Measurement, Data and Probability

• GRADE 4

• Solve problems involving measurement and conversions from a larger unit to a smaller unit.(2.4.4.A1)

• GRADE 5

• Solve problems using conversions within a given measurement system.(2.4.5.A1)

• GRADE 6

• Demonstrate anunderstanding ofstatistical variability bydisplaying, analyzing,and summarizingdistributions.(2.4.6.B1)

• GRADE 7

• Draw inferences about populations based on random sampling concepts.(2.4.7.B1)
• Draw informal comparative inferences about two populations.(2.4.7.B2)
• Investigate chance processes and develop, use, and evaluate probability models.(2.4.7.B3)

Units

Unit #1 - Chapter 1 - Algebraic Expressions and Integers

Unit #2 - Chapter 2 - Solving One-Step Equations and Inequal

Unit #3 - Chapter 7 - Solving Multi-Step Equations and Inequ

Unit #4 - Chapter 6 - Ratios, Proportions, and Percents

Unit #5 - Chapter 10 - Area and Volume

Unit #6 - Chapter 9 - Spatial Thinking

Unit #7 - Chapter 4 - Factors, fractions, and exponents

Unit #8 - Chapter 5 - Operations with Fractions

Unit #9 - Chapter 12 - Data Analysis and Probability

Unit #10 - Chapter 3 - Decimals and Equations