6th Grade Math

SECONDARY MATH COURSE CONTENT

6th Grade Math

Unit

Unit Title

Key Learning(s)

1

Compute with Multi-Digit Numbers

Students will use the four operations to solve problems with decimals.

2

Multiply & Divide Fractions Students will use their knowledge of multiplication and division to multiply and divide fractions.

Students will understand that positive and negative numbers are used to describe quantities, directions, or

3

Integers & the Coordinate locations.

Plane

Students will solve problems involving absolute value, rational numbers, integers on a number line and numbers

on the coordinate plane.

4

Ratios & Proportional Relationships

Students will be able to find the GCF and LCM of two whole numbers, understand ratio concepts and use ratio reasoning to solve problems and solve real world and mathematical problems involving ratios, ratios, and percents.

5

The Number System

Students will convert, compare, and order fractions, decimals, and percents. Students will find the percent of a number and interpret word problems involving fractions, decimals, and percents.

6

Expressions

Students will write and simplify expressions using properties, identify, write and evaluate numerical and algebraic expressions, and interpret word problems involving numerical and algebraic expressions.

7

Equations

Students will create, solve and interpret one-variable equations and inequalities and interpret word problems involving equations and inequalities.

8

Functions & Inequalities

Students will analyze the relationship between two quantities, represent functions and solve inequalities, and interpret word problems involving variables that represent two quantities.

9

Statistical Measures

Students will find the measures of center and variability in a set of data, use data to describe patterns and variations within a set of data, and interpret word problems involving statistical measures.

10

Statistical Displays

Students will display data using different displays, describe a set of data using measures of center and variability, and interpret word problems by describing and displaying data sets.

Students will find the area of shapes, through the use of formulas, the area and side lengths of shapes on a

11

Area

coordinate plane, and the area of irregular and compound figures using formulas. Students will solve word

problems involving the area of triangles, quadrilaterals and irregular/compound polygons.

Students will find the volume of shapes through the use of formulas, and the surface area of prisms using

12

Volume & Surface Area formulas and represent three-dimensional figures using nets. Students will solve word problems involving

volume, nets and surface area.

SECONDARY MATH COURSE CONTENT

7th Grade Math

Unit 1 2 3 4

Part 1-2 5 6 7

8

X 9 10 11

Unit Title

Key Learning(s)

Language of Algebra Students will use the properties of various operations to generate equivalent expressions.

Number System: Integers Students will be able to compute using integers and use their knowledge of integers in real-world situations.

Algebraic Expressions Algebraic Equations Algebraic Inequalities Ratios and Proportional

Relationships Percents

Geometric Figures

Geometric Formulas

Number System: Rationals (Do Before PSSA's) Probability

Students will use the distributive property to generate equivalent expressions.

Students will use algebraic equations and inequalities to solve real-world problems.

Students will analyze, recognize, and represent proportional relationships when solving real-world problems.

Students will use proportions and equations to solve problems involving percentages. Students will describe and apply properties of geometric figures. Students will identify, use, and describe properties of angles and their measures. Students will use formulas to calculate and find the circumference, area, surface area, and volume of two- and three-dimensional objects. Students will be able to compute using rational numbers. Students will apply their knowledge of rational numbers to real-world problems. Students will use different processes to develop, use, and evaluate probability models.

Statistics

Students will use random samples and statistical measures to compare sets of data.

Linear Equations

Students will be able to write, solve, graph, and interpret linear equations.

SECONDARY MATH COURSE CONTENT

Pre-Algebra (Middle School)

Unit

Unit Title

Key Learnings

1

Language of Algebra

Students will use the properties of various operations to generate equivalent expressions.

2

Integers

Students will be able to compute with integers. Students will apply their knowledge of integers to real-world situations.

3

Algebraic Expressions

Students will use the distributive property to generate equivalent expressions.

4

Algebraic Equations and Inequalities

Students will use algebraic equations and inequalities to solve real-world problems.

5

Ratios and Proportional Relationships

Students will analyze, recognize, and represent proportional relationships when solving real-world problems.

6

Percents

Students will use proportions and equations to solve problems involving percents.

7

Angles and Triangles

Students will identify, use, and describe properties of angles and their measures. Students will describe and apply properties of triangles.

8

Two and Three-Dimensional Students will use formulas to calculate and find the circumference, area, surface area, and volume of two- and

Geometry

three-dimensional objects.

X

Rationals (Do Before PSSA's)

Students will be able to compute using rational numbers. Students will apply their knowledge of rational numbers to real-world situations.

9

Statistics & Probability

Students will use random samples and statistical measures to compare sets of data. Students will use different processes to develop, use, and evaluate probability models.

10

Powers and Roots

Students will be able to apply exponential properties to solve mathematical problems.

11

Transformations

Students will be able to describe transformations of geometric figures on a coordinate plane.

12

Linear Functions

Students will be able to write, solve, graph, and interpret linear functions and systems of equations.

SECONDARY MATH COURSE CONTENT

8th Grade Math

Unit

Unit Title

Key Learning(s)

1

The Number System

Students will be able to compare and estimate real numbers. Students will apply their knowledge of rational and irrational numbers to real-world situations.

2

Exponents

Students will be able to apply exponential properties to simplify numerical expressions. Students will be able to perform the basic operations of scientific notation and apply scientific notation to real world situations.

3

Linear Equations

Students will be able to write, solve, and interpret linear equations and apply them to real world situations.

4

Proportional Relationships

Students will be able to use a variety of representations to compare proportional relationships in real-world situations.

5

Functions

Students will be able to use quantitative and qualitative information to analyze and compare functions. Students will be able to use information to determine if a function is linear or nonlinear.

6

Systems of Equations

Students will be able to write, solve, graph, and interpret linear systems of equations.

7

Stats and Probability

Students will be able to analyze and interpret bivariate data displayed in multiple representations. Students will be able to find patterns of association in bivariate data by using frequencies.

8

Transformations

Students will be able to describe transformations of geometric figures on a coordinate plane.

9

Formulas in Geometry

Students will be able to use the Pythagorean Theorem to solve problems involving right triangles. Students will be able to use the formulas to find the volume of various shapes.

SECONDARY MATH COURSE CONTENT

Pre-Algebra (High School)

Unit

Unit Title

Key Learnings

1

Language of Algebra

Students will use the properties of various operations to generate equivalent expressions.

2

Integers

Students will be able to compute with integers. Students will apply their knowledge of integers to real-world situations.

3

Rational Numbers

Students will be able to compute using rational numbers. Students will apply their knowledge of rational numbers to real-world situations.

4

Powers and Roots

Students will be able to apply exponential properties to solve mathematical problems.

5

Algebraic Expressions

Students will use the distributive property to generate equivalent expressions.

6

Algebraic Equations

Students will use algebraic equations to solve real-world problems.

7

Inequalities

Students will use algebraic inequalities to solve real-world problems.

8

Ratios and Proportional Relationships

Students will analyze, recognize, and represent proportional relationships when solving real-world problems.

9

Percentages

Students will use proportions and equations to solve problems involving percentages.

10

Linear Functions

Students will be able to write, solve, graph, and interpret linear functions and systems of equations.

11

Probability & Statistics

Students will use random samples and statistical measures to compare sets of data. Students will use different processes to develop, use, and evaluate probability models.

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