Summer Math

Summer study is an optional opportunity that families can choose to pursue. Our teachers are committed to supporting all students as our mathematics instruction provides for differentiation of student needs and readiness levels. However, some families inquire about summer study resources. Below are some resources that can support you.

Free Online Textbook Access for Grades 1-5

www.pearsonsuccessnet.com
EnVision

  • Username: hsesummermath
  • Password: highability14
Optional Workbook Purchase for Grades 1-5

http://www.pearsonschool.com/index.cfm?locator=PSZu69
EnVision

  • Enter ISBN, appears at top of list, add to shopping cart, check out as a guest
  • 978-0-328-69758-8 – going into Grade 1
  • 978-0-328-69759-5 – going into Grade 2
  • 978-0-328-69760-1 – going into Grade 3
  • 978-0-328-69761-8 – going into Grade 4
  • 978-0-328-69762-5 – going into Grade 5
Free Online Textbook Access for Grades 6-8

https://bim.easyaccessmaterials.com/?reset=1
Big Ideas

  • Choose your program, select "Common Core", Click on "Go"
  • Choose a Book - Grade 6 = Green, Grade 7 = Red, Grade 8 = Blue
Additional Resources

Below are a list of math topics for potential summer study. These were generated by teachers and are arranged by grade level.
As you scroll you’ll also find topics that are covered on readiness exams for our upper grades.

Kindergarten to First Grade Summer Topics

  • Place Value: Read and Write Numbers to 200
  • Place Value: Compare 2 and 3 Digit Numbers Based on Meanings of the Hundreds, Tens and One Digits
  • Addition and Subtraction: Fluently Add and Subtract within 30, Understand the Relationship Between Addition and Subtraction
  • Measurement: Estimate and Measure the Lengths of Objects Using Inches
  • Telling Time: Tell and Write Time from Analog and Digital Clocks to the Nearest Hour and Half-Hour
  • Money: Identify and Count Like and Unlike Coin Combinations for Penny, Nickel, Dime
  • Graphs: Draw and Read Simple Picture and Bar Graphs, Answer Questions Using the Information

First to Second Grade Summer Topics

  • Place Value: Read and Write Numbers to 1000
  • Place Value: Compare 2 and 3 Digit Numbers Based on Meanings of the Hundreds, Tens and Ones
  • Addition/Subtraction: Fluently Add and Subtract within 100, Understand the Relationship Between Addition/Subtraction
  • Measurement: Estimate and Measure the Lengths of Objects Using Inches, Feet and Centimeters
  • Telling Time: Tell and Write Time from Analog and Digital Clocks to the Nearest Five
  • Money: Identify and Count Like and Unlike Coin Combinations
  • Graphs: Draw and Read Picture and Bar Graphs, Answer Questions Using the Information

Second to Third Grade Summer Topics

  • Place Value: Read and Write Numbers to 10,000
  • Addition and Subtraction: Fluently Add and Subtract within 1000
  • Multiplication and Division: Understand and Use Groups or Sets when Describing Multiplication and Division, Solve Problems within 100
  • Multiplication and Division: Knows Fact Tables with Fluency, Can Use Facts to Solve Unknown Problems
  • Fractions: Compare Equivalent Fractions in Parts and with Number Lines with Denominators 2, 3, 4, 6, 8
  • Geometry: Understands that Shapes May Have Similar Attributes, Shapes Can Be Divided into Parts
  • Measurement: Find the Area of Shapes and Relate This to Multiplication
  • Telling Time: Tell and Write Time from Analog Clocks to the Nearest Minute
  • Money: Count Unlike Coin and Dollar Combinations
  • Graphs: Draw and Read Picture and Bar Graphs, Answer Questions Using the Information

Third to Fourth Grade Summer Topics

  • Place Value: Read and Write Numbers to 100,000
  • Addition and Subtraction: Fluently Add and Subtract all Numbers
  • Multiplication and Division: Understand and Use Groups or Sets when Describing Multiplication and Division, Solve Problems within 100
  • Multiplication and Division: Knows Fact Tables with Fluency, Multiply 3 Digit by 1 Digit, Divide 1 Digit Numbers into 2-3 Digit Numbers
  • Fractions: Find Equivalent Fractions, Add/Subtract with Same Denominators, Simplify Fractions
  • Geometry: Understands Lines, Rays, Line Segments, Angles, Polygons
  • Measurement: Find and Compare Perimeter and Area of Rectangles, Convert Customary Measurements (inches to feet, feet to yards, etc.)
  • Telling Time: Tell and Write Time, Find Elapsed Time
  • Money: Add/Subtract Money and Use in Problem Solving
  • Graphs: Draw and Read Picture, Bar, and Line graphs

Fourth to Fifth Grade Summer Topics

  • Place Value: Read and Write Numbers to 100,000
  • Addition and Subtraction: Fluently Add and Subtract with Decimals
  • Multiplication and Division: Solve Problems within 100, Explore Multiplication of Decimals
  • Multiplication and Division: Multiply 3 Digits by Multiple Digits, Divide Multiple Digit Numbers into Multiple Digit Numbers
  • Fractions: Find Equivalent Fractions, Add/Subtract Fractions, Multiply/Divide Fractions, Simplify Fractions
  • Fractions: Understand Relationship to Ratios
  • Geometry: Understands Lines, Rays, Line Segments, Angles, Polygons
  • Measurement: Convert Customary Measurements (inches to feet, feet to yards, etc.)

Sixth Grade Readiness Exam Topics

FOR INCOMING FIFTH GRADERS TESTING INTO FIFTH GRADE 1 YEAR ADVANCED MATH

The topics listed below will be assessed on the 6th Grade Readiness Exam. All questions are based on 5th grade standards and skills a student needs to be successful in 6th grade math.
Number Sense and Computation:

  • Multiply and divide whole numbers
  • Order of Operations
  • Add, subtract, and multiply decimals
  • Add, subtract, multiply, and divide fractions leaving answers in simplest form
  • Rounding numbers to the nearest whole number or decimal place value given
  • Find the mean, median and mode of a given set of data

Algebra and Functions:

  • Substitute a given value in for the variable and evaluate the expression
  • Substitute values in to solve geometric formulas

Geometry:

  • Identify acute, obtuse, right angles
  • The sum of interior angles of triangles
  • Identify triangle by its side attributes
  • Area of a polygon.  Formula is given
  • Volume of a prism. Formula is given
  • Perpendicular and parallel lines
  • Identify two dimensional shapes given the image

Seventh Grade Readiness Exam Topics

FOR INCOMING FIFTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR
INCOMING SIXTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH

The topics listed below will be assessed on the 7th Grade Readiness Exam. All questions are based on 6th grade standards and skills a student needs to be successful in 7th grade math.

Number Sense and Computation:

  • Multiply and divide multi-digit whole numbers
  • Order of operations
  • Add, subtract, multiply and divide decimals
  • Add, subtract, multiply and divide fractions/mixed numbers
  • Absolute value
  • Compare/order integers
  • Compare/order fractions, decimals and percents
  • Ratios, rates, and percentages
  • Prime and composite
  • Least common multiple and greatest common factor

Algebra and Functions:

  • Evaluate and write algebraic expressions
  • Identity, inverse, commutative, associative and distributive properties
  • Solve one-step equations
  • Use formulas (d=rt, 1/2bh, l x w x h, etc.)
  • Coordinate plane
  • Writing and graphing inequalities

Geometry and Measurements:

  • Convert measurement systems
  • Area of complex shapes
  • Surface area and volume right rectangular prism
  • Interior angles of triangles and quadrilaterals
  • Draw polygons in coordinate plane

Data Analysis and Statistics:

  • Interpret central tendencies – mean, median, mode
  • Data displays – (line plot, histogram and box plot)
  • Formulate statistical questions, collect/organize data, display and interpret data

Eighth Grade Readiness Exam Topics

FOR INCOMING SIXTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR INCOMING SEVENTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH

The topics listed below will be assessed on the 8th Grade Readiness Exam.  All questions are based on 7th grade standards and skills a student needs to be successful in 8th grade math. No calculator will be allowed on the assessment.  Students must show work needed to arrive at correct answers.  Students will be given an ISTEP reference sheet when taking the test.
Number Sense:

  • Rational Computations—Perform all four basic operations with decimals, fractions and integers and combinations of those
  • Order of operations
  • Compare rational numbers with <,> or =
  • Write and solve ratio and proportion problems
  • Applications of percents
  • Exponents
  • Algebra and Functions:
  • Write and solve basic one-step and two-step equations and inEqualities
  • Simplify and evaluate variable expressions
  • Find solutions  to equations in two variable
  • Graph linear equations
  • Find slope of linear equations

Geometry:

  • Calculate area, surface area, and volume of 2-D and 3-D figures

Data analysis and probability:

  • Find probability of simple events
  • Compute the measures of central tendencies
  • Interpret different types of data displays (e.g. stem-n-leaf, histograms, circle graph)

Algebra Readiness Exam Topics

FOR INCOMING SEVENTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR INCOMING EIGHTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH

The topics listed below will be assessed on the Algebra Readiness Exam.  All questions are based on the standards and skills a student needs to be successful in Algebra. The majority of the assessment will be without a calculator.  However, if a student brings a calculator they will be able to use it on one section of the test.  Students will be provided with an ISTEP Reference Sheet.  We recommend utilizing this as the student prepares for this assessment.  The reference sheet can be located on the DOE website. 

Geometry:

  • Write and solve equations using the angle measures of triangles, supplementary angles, and  complementary angles
  • Find angle measures when a transversals intersects parallel lines
  • Use similar figures to solve problems
  • Use formulas to find volumes of basic 3-D shapes and irregular 3-D shapes
  • Describe the effects of dilations, translations, rotations, and reflections on two-dimensional shapes using coordinates
  • Understand how transformations affect the perimeter or area of two shapes depending on the type of transformation

Algebra and Functions:

  • Write and simplify algebraic expressions
  • Write and solve linear equations and inequalities requiring algebraic manipulation using properties of operations.
  • Understand and determine the slope of the line given two points, an equation, a table or a graph
  • Write a linear equation in slope-intercept form
  • Solve systems of linear equations both graphically and algebraically
  • Decide if a function is linear or nonlinear by looking at a graph, a chart, equation, or words.
  • Identify the domain and range of a function
  • Compare linear and nonlinear functions
  • Make comparisons between functions when they are in different forms. i.e. charts, graphs, words, equations
  • Write, solve, and show solutions to inequalities as graphs

Radicals & Pythagorean Theorem:

  • Simplify perfect square & cube roots
  • Calculate and approximate square roots
  • Apply the Pythagorean Theorem to find the distance between two points on a coordinate plan
  • Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world situations

Number Sense:

  • Identify and compare rational and irrational numbers
  • Order of Operations
  • Compare, add, subtract, multiply, and divide rational numbers
  • Use Scientific Notation in multiplication and division
  • Distributive Property and combining like terms
  • Whole and Integer Exponents  (multiply, divide, power to a power, zero)